# expected.coords.smooth <- coords(smooth(r.s100b), "all", ret="all")
# dump("expected.coords.smooth", "tests/testthat/helper-coords-expected-smooth.R_new")

expected.coords.smooth <-
  structure(list(specificity = c(
    0, 0, 0.0063876682047232314, 0.013341366018777919,
    0.020344288637047729, 0.02732113845873314, 0.034245743799787939,
    0.041107222765956193, 0.047900945707538618, 0.054625228227432425,
    0.061279891780967564, 0.067865563419956337, 0.074383308025182004,
    0.080834424386697287, 0.087220327715743048, 0.093542480197314093,
    0.099802349355844602, 0.10600138304507721, 0.11214099462234858,
    0.11822255447772048, 0.12424738557818887, 0.13021676156515741,
    0.13613190647507245, 0.14199399548276545, 0.1478041562755458,
    0.15356347080026292, 0.1592729772131363, 0.16493367192005839,
    0.17054651163370038, 0.17611241539974154, 0.18163226656209791,
    0.1871069146489435, 0.19253717716938082, 0.19792384131606267,
    0.20326766557271275, 0.20856938122789367, 0.21382969379791569,
    0.21904928436272667, 0.22422881081915638, 0.2293689090561532,
    0.23447019405671857, 0.23953326093117808, 0.24455868588628693,
    0.24954702713447605, 0.25449882574732063, 0.25941460645706799,
    0.2642948784098238, 0.26914013587375307, 0.2739508589054207,
    0.27872751397717066, 0.2834705545682315, 0.28818042172203989,
    0.29285754457208779, 0.29750234083842347, 0.30211521729678009,
    0.30669657022215319, 0.31124678580851739, 0.31576624056624336,
    0.32025530169865346, 0.32471432745906287, 0.32914366748953627,
    0.3335436631425181, 0.33791464778639035, 0.34225694709595467,
    0.34657087932875213, 0.3508567555880755, 0.35511488007346226,
    0.35934555031941029, 0.36354905742299998, 0.36772568626106317,
    0.37187571569749256, 0.37599941878125076, 0.3800970629355962,
    0.38416891013901194, 0.38821521709828732, 0.39223623541418029,
    0.39623221174005474, 0.40020338793386645, 0.40415000120384365,
    0.4080722842481882, 0.41197046538910875, 0.4158447687014693,
    0.41969541413632294, 0.42352261763959054, 0.42732659126611522,
    0.43110754328932849, 0.4348656783067289, 0.43860119734138098,
    0.44231429793962007, 0.44600517426514108, 0.44967401718963984,
    0.45332101438016231, 0.45694635038331693, 0.46055020670648866,
    0.46413276189618752, 0.46769419161365966, 0.47123466870788455,
    0.47475436328606541, 0.47825344278172693, 0.48173207202051754,
    0.48519041328381807, 0.48862862637024584, 0.49204686865514258,
    0.49544529514812791, 0.49882405854880113, 0.50218330930066291,
    0.50552319564333004, 0.50884386366310885, 0.51214545734199801,
    0.51542811860517479, 0.51869198736703026, 0.52193720157580392,
    0.52516389725687518, 0.5283722085547633, 0.53156226777387894,
    0.53473420541807981, 0.53788815022907199, 0.5410242292237003,
    0.54414256773016723, 0.54724328942321909, 0.55032651635833862,
    0.55339236900497746, 0.55644096627886341, 0.5594724255734127,
    0.56248686279028282, 0.56548439236909231, 0.56846512731633736,
    0.57142917923353065, 0.57437665834459195, 0.57730767352251533,
    0.58022233231533227, 0.5831207409714011, 0.58600300446403886,
    0.58886922651552265, 0.5917195096204747, 0.59455395506865638,
    0.59737266296718716, 0.60017573226220922, 0.6029632607600105,
    0.60573534514762928, 0.60849208101295216, 0.61123356286432318,
    0.61395988414967695, 0.61667113727521417, 0.61936741362362813,
    0.62204880357190151, 0.62471539650868135, 0.62736728085124849,
    0.63000454406209039, 0.63262727266509189, 0.63523555226135353,
    0.63782946754464676, 0.64040910231652048, 0.6429745395010652,
    0.64552586115934718, 0.64806314850351843, 0.65058648191061674,
    0.65309594093605994, 0.65559160432684582, 0.65807355003446311,
    0.66054185522752418, 0.66299659630412677, 0.66543784890394875,
    0.66786568792008816, 0.67028018751065133, 0.67268142111009843,
    0.67506946144035096, 0.67744438052166922, 0.67980624968330317,
    0.68215513957392726, 0.68449112017185976, 0.68681426079507391,
    0.68912463011100922, 0.69142229614618278, 0.69370732629561083,
    0.69597978733204013, 0.69823974541499945, 0.70048726609967116,
    0.70272241434559035, 0.70494525452517343, 0.70715585043208273,
    0.70935426528942902, 0.71154056175781777, 0.71371480194324066,
    0.71587704740481883, 0.71802735916239957, 0.72016579770401024,
    0.72229242299317231, 0.72440729447608088, 0.72651047108865052,
    0.72860201126343216, 0.73068197293640202, 0.73275041355362858,
    0.73480739007781759, 0.7368529589947399, 0.73888717631954237,
    0.74091009760294801, 0.74292177793734482, 0.74492227196276706,
    0.74691163387277126, 0.74888991742020916, 0.75085717592290058,
    0.75281346226920753, 0.75475882892351132, 0.75669332793159638,
    0.75861701092594191, 0.76052992913092365, 0.76243213336792581,
    0.76432367406036927, 0.76620460123865319, 0.76807496454501567,
    0.76993481323831126, 0.7717841961987123, 0.77362316193233027,
    0.77545175857576254, 0.77727003390056415, 0.77907803531764674,
    0.7808758098816071, 0.78266340429498582, 0.78444086491245557,
    0.78620823774494497, 0.7879655684636957, 0.78971290240425507,
    0.79145028457040623, 0.7931777596380355, 0.79489537195894089,
    0.79660316556458, 0.79830118416975959, 0.79998947117626984, 0.80166806967646032,
    0.80333702245676331, 0.80499637200116236, 0.80664616049460758,
    0.8082864298263811, 0.80991722159341029, 0.81153857710353094,
    0.81315053737870402, 0.81475314315818148, 0.81634643490162795,
    0.81793045279219412, 0.81950523673954656, 0.82107082638285234,
    0.82262726109372053, 0.82417457997910082, 0.82571282188413941,
    0.82724202539499625, 0.82876222884161865, 0.83027347030047738,
    0.83177578759726323, 0.83326921830954548, 0.83475379976939235,
    0.8362295690659548, 0.83769656304801488, 0.83915481832649708,
    0.84060437127694632, 0.84204525804197006, 0.84347751453364772,
    0.84490117643590701, 0.84631627920686747, 0.84772285808115111,
    0.84912094807216409, 0.8505105839743442, 0.85189180036538137,
    0.85326463160840571, 0.85462911185414769, 0.85598527504306887,
    0.8573331549074652, 0.85867278497354105, 0.860004198563457, 0.86132742879735058,
    0.86264250859532976, 0.86394947067944194, 0.86524834757561508,
    0.86653917161557648, 0.86782197493874436, 0.86909678949409641,
    0.87036364704201419, 0.87162257915610353, 0.87287361722499246,
    0.87411679245410556, 0.87535213586741711, 0.87657967830918038,
    0.8777994504456369, 0.87901148276670371, 0.88021580558763901,
    0.8814124490506885, 0.88260144312670974, 0.88378281761677768,
    0.88495660215377037, 0.88612282620393445, 0.887281519068432,
    0.88843270988486922, 0.8895764276288054, 0.89071270111524437,
    0.89184155900010798, 0.89296302978169173, 0.89407714180210296,
    0.8951839232486819, 0.89628340215540625, 0.89737560640427838,
    0.89846056372669636, 0.89953830170480997, 0.90060884777285888,
    0.90167222921849643, 0.9027284731840981, 0.90377760666805396,
    0.90481965652604679, 0.90585464947231509, 0.90688261208090193,
    0.90790357078688899, 0.90891755188761658, 0.90992458154389055,
    0.9109246857811738, 0.9119178904907661, 0.9129042214309695, 0.91388370422824039,
    0.91485636437832973, 0.91582222724740936, 0.91678131807318641,
    0.9177336619660047, 0.9186792839099347, 0.91961820876385059,
    0.92055046126249596, 0.92147606601753718, 0.92239504751860613,
    0.92330743013433036, 0.92421323811335276, 0.92511249558533959,
    0.92600522656197815, 0.9268914549379631, 0.9277712044919717,
    0.92864449888762968, 0.92951136167446569, 0.93037181628885568,
    0.93122588605495715, 0.93207359418563374, 0.93291496378336902,
    0.93375001784117173, 0.9345787792434701, 0.93540127076699753,
    0.93621751508166828, 0.9370275347514444, 0.93783135223519287,
    0.93862898988753385, 0.93942046995968032, 0.94020581460026809,
    0.94098504585617782, 0.94175818567334779, 0.94252525589757796,
    0.94328627827532674, 0.94404127445449715, 0.94479026598521709,
    0.94553327432060974, 0.94627032081755624, 0.94700142673745069,
    0.94772661324694663, 0.948445901418696, 0.94915931223207983,
    0.94986686657393182, 0.95056858523925392, 0.95126448893192372,
    0.9519545982653953, 0.95263893376339193, 0.95331751586059132,
    0.95399036490330402, 0.95465750115014403, 0.95531894477269186,
    0.95597471585615146, 0.95662483439999868, 0.95726932031862366,
    0.95790819344196521, 0.95854147351613928, 0.95916918020405906,
    0.95979133308604903, 0.96040795166045212, 0.96101905534422882,
    0.96162466347355136, 0.96222479530438876, 0.96281947001308654,
    0.96340870669693912, 0.96399252437475536, 0.96457094198741689,
    0.96514397839843047, 0.96571165239447232, 0.96627398268592701,
    0.96683098790741795, 0.96738268661833171, 0.96792909730333621,
    0.96847023837289026, 0.9690061281637472, 0.96953678493945172,
    0.97006222689082899, 0.97058247213646642, 0.97109753872318938,
    0.97160744462652837, 0.97211220775118012, 0.97261184593145977,
    0.97310637693174706, 0.97359581844692411, 0.97408018810280539,
    0.97455950345656051, 0.9750337819971282, 0.97550304114562336,
    0.97596729825573447, 0.97642657061411386, 0.97688087544075852,
    0.97733022988938301, 0.97777465104778238, 0.97821415593818695,
    0.97864876151760694, 0.97907848467816783, 0.97950334224743574,
    0.97992335098873262, 0.9803385276014408, 0.98074888872129673,
    0.98115445092067388, 0.98155523070885353, 0.981951244532284,
    0.98234250877482743, 0.98272903975799319, 0.98311085374115881,
    0.98348796692177631, 0.98386039543556436, 0.98422815535668517,
    0.98459126269790587, 0.98494973341074321, 0.98530358338559165,
    0.98565282845183233, 0.98599748437792423, 0.98633756687147511,
    0.98667309157929162, 0.98700407408740765, 0.98733052992108938,
    0.98765247454481619, 0.98796992336223621, 0.98828289171609418,
    0.98859139488813152, 0.9888954480989548, 0.98919506650787359,
    0.98949026521270289, 0.9897810592495303, 0.99006746359244391,
    0.99034949315321963, 0.99062716278096463, 0.99090048726171431,
    0.99116948131797933, 0.99143415960823911, 0.99169453672637875,
    0.99195062720106486, 0.99220244549505521, 0.99245000600443833,
    0.99269332305779756, 0.99293241091529283, 0.99316728376765517,
    0.9933979557350856, 0.99362444086605128, 0.99384675313597126,
    0.99406490644578094, 0.99427891462036555, 0.9944887914068522,
    0.99469455047274657, 0.99489620540390078, 0.99509376970229735,
    0.99528725678363095, 0.99547667997466949, 0.99566205251037365,
    0.99584338753074819, 0.99602069807740146, 0.99619399708977974,
    0.9963632974010439, 0.99652861173354923, 0.99668995269388394,
    0.99684733276741755, 0.99700076431230134, 0.99715025955285719,
    0.99729583057227922, 0.99743748930456388, 0.99757524752556959,
    0.99770911684309094, 0.99783910868581716, 0.99796523429101713,
    0.99808750469077223, 0.99820593069654184, 0.99832052288181017,
    0.99843129156251398, 0.998538246774892, 0.99864139825032627,
    0.99874075538665208, 0.99883632721530369, 0.99892812236351425,
    0.99901614901061087, 0.9991004148372028, 0.99918092696575589,
    0.9992576918906384, 0.99933071539517937, 0.99940000245254867,
    0.99946555710625573, 0.99952738232466198, 0.99958547982189927,
    0.99963984983468901, 0.99969049084025274, 0.99973739919394899,
    0.99978056865497356, 0.99981998975172415, 0.99985564891007006,
    0.99988752721731322, 0.99991559859934254, 0.99993982699459871,
    0.99996016167415558, 0.99997652874920029, 0.99998881349177671,
    0.99999681366490334, 1, 1
  ), sensitivity = c(
    1, 1, 0.99804305283757333,
    0.99608610567514666, 0.9941291585127201, 0.99217221135029354,
    0.99021526418786687, 0.9882583170254402, 0.98630136986301364,
    0.98434442270058709, 0.98238747553816042, 0.98043052837573375,
    0.97847358121330719, 0.97651663405088063, 0.97455968688845396,
    0.97260273972602729, 0.97064579256360073, 0.96868884540117417,
    0.9667318982387475, 0.96477495107632083, 0.96281800391389427,
    0.96086105675146771, 0.95890410958904104, 0.95694716242661437,
    0.95499021526418781, 0.95303326810176126, 0.95107632093933459,
    0.94911937377690792, 0.94716242661448136, 0.9452054794520548,
    0.94324853228962813, 0.94129158512720146, 0.9393346379647749,
    0.93737769080234834, 0.93542074363992167, 0.93346379647749489,
    0.93150684931506844, 0.92954990215264188, 0.92759295499021521,
    0.92563600782778854, 0.92367906066536198, 0.92172211350293543,
    0.91976516634050876, 0.91780821917808209, 0.91585127201565553,
    0.91389432485322897, 0.9119373776908023, 0.90998043052837563,
    0.90802348336594907, 0.90606653620352251, 0.90410958904109584,
    0.90215264187866917, 0.90019569471624261, 0.89823874755381605,
    0.89628180039138938, 0.89432485322896271, 0.89236790606653615,
    0.8904109589041096, 0.88845401174168304, 0.88649706457925626,
    0.8845401174168297, 0.88258317025440314, 0.88062622309197647,
    0.8786692759295498, 0.87671232876712324, 0.87475538160469657,
    0.8727984344422699, 0.87084148727984334, 0.86888454011741678,
    0.86692759295499022, 0.86497064579256355, 0.86301369863013688,
    0.86105675146771044, 0.85909980430528377, 0.8571428571428571,
    0.85518590998043043, 0.85322896281800387, 0.85127201565557742,
    0.84931506849315064, 0.84735812133072397, 0.84540117416829741,
    0.84344422700587085, 0.84148727984344429, 0.83953033268101751,
    0.83757338551859095, 0.83561643835616439, 0.83365949119373772,
    0.83170254403131105, 0.82974559686888449, 0.82778864970645794,
    0.82583170254403138, 0.8238747553816046, 0.82191780821917804,
    0.81996086105675148, 0.81800391389432481, 0.81604696673189814,
    0.81409001956947158, 0.81213307240704502, 0.81017612524461835,
    0.80821917808219157, 0.80626223091976512, 0.80430528375733856,
    0.802348336594912, 0.80039138943248522, 0.79843444227005878,
    0.79647749510763211, 0.79452054794520544, 0.79256360078277877,
    0.79060665362035221, 0.78864970645792565, 0.78669275929549909,
    0.78473581213307231, 0.78277886497064575, 0.78082191780821919,
    0.77886497064579252, 0.77690802348336585, 0.77495107632093929,
    0.77299412915851273, 0.77103718199608617, 0.76908023483365939,
    0.76712328767123283, 0.76516634050880639, 0.76320939334637972,
    0.76125244618395294, 0.75929549902152638, 0.75733855185909993,
    0.75538160469667315, 0.75342465753424648, 0.75146771037181992,
    0.74951076320939336, 0.74755381604696669, 0.74559686888454002,
    0.74363992172211346, 0.7416829745596869, 0.73972602739726023,
    0.73776908023483356, 0.73581213307240712, 0.73385518590998045,
    0.73189823874755378, 0.72994129158512711, 0.72798434442270055,
    0.72602739726027399, 0.72407045009784743, 0.72211350293542065,
    0.72015655577299409, 0.71819960861056753, 0.71624266144814086,
    0.71428571428571419, 0.71232876712328763, 0.71037181996086107,
    0.7084148727984344, 0.70645792563600773, 0.70450097847358117,
    0.70254403131115462, 0.70058708414872795, 0.69863013698630128,
    0.69667318982387472, 0.69471624266144816, 0.69275929549902149,
    0.69080234833659482, 0.68884540117416826, 0.6868884540117417,
    0.68493150684931503, 0.68297455968688836, 0.6810176125244618,
    0.67906066536203524, 0.67710371819960857, 0.6751467710371819,
    0.67318982387475523, 0.67123287671232879, 0.669275929549902,
    0.66731898238747545, 0.66536203522504889, 0.66340508806262233,
    0.66144814090019555, 0.65949119373776899, 0.65753424657534243,
    0.65557729941291587, 0.6536203522504892, 0.65166340508806253,
    0.64970645792563597, 0.64774951076320941, 0.64579256360078274,
    0.64383561643835607, 0.64187866927592951, 0.63992172211350296,
    0.63796477495107629, 0.63600782778864962, 0.63405088062622306,
    0.6320939334637965, 0.63013698630136983, 0.62818003913894316,
    0.6262230919765166, 0.62426614481409004, 0.62230919765166337,
    0.6203522504892367, 0.61839530332681014, 0.61643835616438358,
    0.61448140900195691, 0.61252446183953024, 0.61056751467710368,
    0.60861056751467713, 0.60665362035225046, 0.60469667318982379,
    0.60273972602739723, 0.60078277886497067, 0.598825831702544,
    0.59686888454011733, 0.59491193737769077, 0.59295499021526421,
    0.59099804305283754, 0.58904109589041087, 0.58708414872798431,
    0.58512720156555775, 0.58317025440313108, 0.58121330724070441,
    0.57925636007827785, 0.5772994129158513, 0.57534246575342463,
    0.57338551859099796, 0.5714285714285714, 0.56947162426614484,
    0.56751467710371817, 0.5655577299412915, 0.56360078277886494,
    0.56164383561643838, 0.55968688845401171, 0.55772994129158504,
    0.55577299412915848, 0.55381604696673192, 0.55185909980430525,
    0.54990215264187858, 0.54794520547945202, 0.54598825831702547,
    0.5440313111545988, 0.54207436399217213, 0.54011741682974557,
    0.53816046966731901, 0.53620352250489234, 0.53424657534246567,
    0.53228962818003911, 0.53033268101761255, 0.52837573385518588,
    0.52641878669275921, 0.52446183953033265, 0.52250489236790609,
    0.52054794520547942, 0.51859099804305275, 0.51663405088062619,
    0.51467710371819964, 0.51272015655577297, 0.5107632093933463,
    0.50880626223091974, 0.50684931506849318, 0.50489236790606651,
    0.50293542074363984, 0.50097847358121328, 0.49902152641878667,
    0.49706457925636005, 0.49510763209393344, 0.49315068493150682,
    0.49119373776908021, 0.48923679060665359, 0.48727984344422698,
    0.48532289628180036, 0.48336594911937375, 0.48140900195694714,
    0.47945205479452052, 0.47749510763209391, 0.47553816046966729,
    0.47358121330724068, 0.47162426614481406, 0.46966731898238745,
    0.46771037181996084, 0.46575342465753422, 0.46379647749510761,
    0.46183953033268099, 0.45988258317025438, 0.45792563600782776,
    0.45596868884540115, 0.45401174168297453, 0.45205479452054792,
    0.45009784735812131, 0.44814090019569469, 0.44618395303326808,
    0.44422700587084146, 0.44227005870841485, 0.44031311154598823,
    0.43835616438356162, 0.43639921722113501, 0.43444227005870839,
    0.43248532289628178, 0.43052837573385516, 0.42857142857142855,
    0.42661448140900193, 0.42465753424657537, 0.4227005870841487,
    0.42074363992172209, 0.41878669275929548, 0.41682974559686886,
    0.41487279843444225, 0.41291585127201569, 0.41095890410958907,
    0.4090019569471624, 0.40704500978473579, 0.40508806262230923,
    0.40313111545988256, 0.40117416829745595, 0.39921722113502939,
    0.39726027397260272, 0.39530332681017616, 0.39334637964774949,
    0.39138943248532287, 0.38943248532289626, 0.38747553816046965,
    0.38551859099804303, 0.38356164383561642, 0.38160469667318986,
    0.37964774951076319, 0.37769080234833657, 0.37573385518590996,
    0.3737769080234834, 0.37181996086105673, 0.36986301369863012,
    0.3679060665362035, 0.36594911937377694, 0.36399217221135027,
    0.36203522504892366, 0.36007827788649704, 0.35812133072407043,
    0.35616438356164382, 0.3542074363992172, 0.35225048923679059,
    0.35029354207436392, 0.34833659491193741, 0.3463796477495108,
    0.34442270058708419, 0.34246575342465752, 0.34050880626223096,
    0.33855185909980429, 0.33659491193737767, 0.33463796477495111,
    0.33268101761252444, 0.33072407045009783, 0.32876712328767127,
    0.3268101761252446, 0.32485322896281799, 0.32289628180039132,
    0.32093933463796476, 0.31898238747553814, 0.31702544031311153,
    0.31506849315068497, 0.31311154598825836, 0.31115459882583163,
    0.30919765166340507, 0.30724070450097851, 0.30528375733855184,
    0.30332681017612523, 0.30136986301369861, 0.299412915851272,
    0.29745596868884538, 0.29549902152641883, 0.29354207436399216,
    0.2915851272015656, 0.28962818003913887, 0.28767123287671237,
    0.2857142857142857, 0.28375733855185903, 0.28180039138943253,
    0.27984344422700586, 0.27788649706457924, 0.27592954990215257,
    0.27397260273972601, 0.27201565557729945, 0.27005870841487278,
    0.26810176125244617, 0.26614481409001955, 0.264187866927593,
    0.26223091976516638, 0.26027397260273977, 0.2583170254403131,
    0.25636007827788648, 0.25440313111545987, 0.25244618395303331,
    0.2504892367906067, 0.24853228962818005, 0.24657534246575341,
    0.2446183953033268, 0.2426614481409001, 0.24070450097847362,
    0.23874755381604693, 0.23679060665362034, 0.23483365949119361,
    0.23287671232876717, 0.23091976516634047, 0.22896281800391383,
    0.22700587084148729, 0.22504892367906071, 0.22309197651663407,
    0.2211350293542074, 0.21917808219178078, 0.2172211350293542,
    0.21526418786692758, 0.21330724070450094, 0.21135029354207435,
    0.20939334637964774, 0.20743639921722107, 0.20547945205479451,
    0.20352250489236787, 0.20156555772994122, 0.19960861056751467,
    0.19765166340508805, 0.19569471624266147, 0.19373776908023482,
    0.19178082191780826, 0.18982387475538162, 0.18786692759295498,
    0.18590998043052842, 0.18395303326810175, 0.18199608610567519,
    0.18003913894324852, 0.17808219178082194, 0.17612524461839529,
    0.17416829745596865, 0.17221135029354201, 0.17025440313111548,
    0.16829745596868884, 0.16634050880626222, 0.16438356164383566,
    0.16242661448140899, 0.16046966731898241, 0.15851272015655576,
    0.15655577299412918, 0.15459882583170251, 0.15264187866927589,
    0.15068493150684936, 0.14872798434442261, 0.14677103718199611,
    0.14481409001956941, 0.14285714285714282, 0.14090019569471618,
    0.13894324853228959, 0.13698630136986298, 0.13502935420743636,
    0.13307240704500972, 0.13111545988258316, 0.12915851272015663,
    0.12720156555772999, 0.1252446183953034, 0.12328767123287671,
    0.12133072407045009, 0.11937377690802352, 0.11741682974559686,
    0.11545988258317025, 0.11350293542074361, 0.11154598825831699,
    0.10958904109589039, 0.1076320939334638, 0.1056751467710372,
    0.10371819960861053, 0.10176125244618392, 0.099804305283757389,
    0.097847358121330733, 0.09589041095890416, 0.093933463796477504,
    0.091976516634050862, 0.090019569471624289, 0.088062622309197675,
    0.086105675146771019, 0.084148727984344446, 0.082191780821917845,
    0.080234833659491259, 0.078277886497064589, 0.076320939334637947,
    0.074363992172211374, 0.072407045009784773, 0.070450097847358159,
    0.068493150684931517, 0.066536203522504889, 0.064579256360078302,
    0.062622309197651688, 0.060665362035225066, 0.058708414872798501,
    0.056751467710371865, 0.054794520547945209, 0.052837573385518657,
    0.050880626223092015, 0.048923679060665401, 0.046966731898238773,
    0.045009784735812165, 0.043052837573385544, 0.041095890410958923,
    0.039138943248532329, 0.03718199608610568, 0.035225048923679107,
    0.033268101761252479, 0.031311154598825837, 0.029354207436399233,
    0.027397260273972615, 0.02544031311154599, 0.023483365949119386,
    0.021526418786692772, 0.019569471624266147, 0.017612524461839554,
    0.015655577299412939, 0.013698630136986308, 0.011741682974559685,
    0.0097847358121330927, 0.0078277886497064766, 0.0058708414872798544,
    0.0039138943248532305, 0.0019569471624266178, 0, 0
  ), accuracy = c(
    0.36283185840707965,
    0.36283185840707965, 0.36619183431044755, 0.36991246624807989,
    0.37366446266273418, 0.37739984632204271, 0.3811019414627192,
    0.38476381448842384, 0.38838251553386138, 0.39195697135486018,
    0.39548706818844465, 0.39897320557205251, 0.40241606201379382,
    0.40581646506131241, 0.4091753164421249, 0.41249354781392683,
    0.41577209423653488, 0.41901187823622749, 0.42221380035927203,
    0.42537873377455782, 0.42850752143450677, 0.43160097486284521,
    0.43465987397660089, 0.43768496755973713, 0.4406769741386814,
    0.44363658309549681, 0.44656445591025251, 0.44946122746103923,
    0.45232750733469174, 0.45516388111783751, 0.45797091164907788,
    0.46074914022070079, 0.46349908772346188, 0.46622125573144063,
    0.46891612752630185, 0.47158416906181977, 0.47422582987051093,
    0.47684154391481981, 0.47943173038564679, 0.48199679445117133,
    0.48453712795896975, 0.48705311009438207, 0.48954510799799578,
    0.49201347734498796, 0.49445856288892892, 0.49688069897248927,
    0.49928021000734696, 0.50165741092543037, 0.50401260760348854,
    0.50634609726283808, 0.50865816884599646, 0.51094910337179034,
    0.51321917427040942, 0.51546864769976053, 0.51769778284438173,
    0.51990683219807521, 0.5220960418313384, 0.52426565164458416,
    0.52641589560807134, 0.52854700198939852, 0.53065919356935076,
    0.53275268784683039, 0.53482769723354995, 0.5368844292391175,
    0.5389230866470992, 0.54094386768260172, 0.54294696617187921,
    0.54493257169443465, 0.54690086972805385, 0.54885204178717828,
    0.55078626555499621, 0.55270371500960769, 0.55460456054459339,
    0.55648896908429635, 0.55835710419410467, 0.5602091261860056,
    0.56204519221966454, 0.563865456399266, 0.5656700698663355, 0.56745918088875424,
    0.56923293494615945, 0.57099147481191592, 0.57273494063182706,
    0.57446346999975428, 0.57617719803028788, 0.57787625742862292,
    0.57956077855776744, 0.581230889503214, 0.58288671613519394,
    0.58452838216862779, 0.58615600922087929, 0.58776971686741131,
    0.58936962269544346, 0.59095584235569909, 0.59252848961232585,
    0.59408767639107374, 0.59563351282580557, 0.59716610730341202,
    0.59868556650720084, 0.60019199545882407, 0.60168549755880762,
    0.60316617462573963, 0.60463412693417395, 0.6060894532513017,
    0.60753225087244322, 0.60896261565540399, 0.61038064205374498,
    0.61178642314900666, 0.61318005068193193, 0.61456161508272156,
    0.61593120550036851, 0.61728890983109597, 0.6186348147459424,
    0.61996900571752167, 0.6212915670459892, 0.62260258188424555,
    0.62390213226240443, 0.62519029911155266, 0.62646716228682808,
    0.62773280058983905, 0.62898729179045065, 0.6302307126479596,
    0.63146313893167905, 0.63268464544095382, 0.63389530602462785,
    0.63509519359998012, 0.63628438017114952, 0.63746293684706468,
    0.63863093385889602, 0.63978844057704631, 0.64093552552769517,
    0.64207225640891163, 0.64319870010634916, 0.64431492270853796,
    0.64542098952178628, 0.64651696508470302, 0.64760291318235541,
    0.64867889686007318, 0.64974497843690682, 0.6508012195187568,
    0.6518476810111794, 0.65288442313188066, 0.65391150542290688,
    0.65492898676254574, 0.65593692537693782, 0.65693537885141751,
    0.6579244041415826, 0.65890405758410775, 0.65987439490730349,
    0.66083547124143283, 0.66178734112879001, 0.66273005853354772,
    0.66366367685138328, 0.66458824891888524, 0.6655038270227509,
    0.66641046290877604, 0.66730820779064848, 0.66819711235854595,
    0.66907722678754666, 0.66994860074585594, 0.67081128340285523,
    0.67166532343697827, 0.67251076904341789, 0.67334766794167056,
    0.67417606738291891, 0.6749960141572614, 0.67580755460078967,
    0.67661073460251886, 0.67740559961117519, 0.67819219464184288,
    0.67897056428247693, 0.67974075270028156, 0.68050280364796167,
    0.68125676046984662, 0.68200266610789384, 0.68274056310757003,
    0.68347049362361945, 0.68419249942571569, 0.68490662190400509,
    0.68561290207454029, 0.68631138058461083, 0.68700209771796883,
    0.68768509339995554, 0.68836040720253022, 0.68902807834920399,
    0.68968814571987958, 0.69034064785560056, 0.69098562296321275,
    0.69162310891993783, 0.6922531432778628, 0.69287576326834766,
    0.69349100580635059, 0.6940989074946764, 0.69469950462814645,
    0.69529283319769453, 0.69587892889438707, 0.69645782711337578,
    0.69702956295777485, 0.69759417124247314, 0.69815168649787851,
    0.69870214297359556, 0.69924557464204073, 0.69978201520199301,
    0.70031149808208482, 0.70083405644423202, 0.7013497231870055,
    0.70185853094894524, 0.70236051211181827, 0.70285569880382215,
    0.7033441229027334, 0.70382581603900407, 0.70430080959880759,
    0.70476913472703218, 0.70523082233022694, 0.70568590307949808,
    0.70613440741335842, 0.7065763655405306, 0.70701180744270464,
    0.70744076287725122, 0.70786326137989131, 0.70827933226732276,
    0.70868900463980555, 0.70909230738370632, 0.70948926917400179,
    0.70987991847674348, 0.71026428355148419, 0.71064239245366589,
    0.71101427303697062, 0.71137995295563661, 0.71173945966673591,
    0.71209282043242017, 0.7124400623221302, 0.71278121221477231,
    0.71311629680086264, 0.7134453425846381, 0.71376837588613529,
    0.71408542284324117, 0.71439650941370936, 0.71470166137714863,
    0.71500090433698282, 0.71529426372238003, 0.71558176479015478,
    0.71586343262664154, 0.71613929214954319, 0.71640936810974931,
    0.71667368509313178, 0.71693226752231154, 0.71718513965840303,
    0.71743232560273118, 0.71767384929852618, 0.71790973453259244,
    0.71814000493695518, 0.71836468399048481, 0.71858379502049563,
    0.71879736120432625, 0.71900540557089443, 0.71920795100223345,
    0.71940502023500497, 0.71959663586199307, 0.71978282033357655,
    0.71996359595918225, 0.72013898490871753, 0.72030900921398466,
    0.72047369077007528, 0.72063305133674738, 0.72078711253978123,
    0.72093589587232154, 0.72107942269619729, 0.72121771424322789,
    0.72135079161650983, 0.72147867579168679, 0.72160138761820536,
    0.72171894782055024, 0.7218313769994682, 0.72193869563317248,
    0.72204092407853404, 0.72213808257225609, 0.72223019123203447,
    0.72231727005770263, 0.7223993389323633, 0.72247641762350434,
    0.72254852578410134, 0.72261568295370648, 0.72267790855952341,
    0.72273522191746897, 0.72278764223322189, 0.72283518860325757,
    0.72287788001587183, 0.72291573535219023, 0.72294877338716657,
    0.7229770127905677, 0.72300047212794816, 0.72301916986161097,
    0.72303312435155898, 0.72304235385643245, 0.72304687653443711,
    0.72304671044426128, 0.72304187354597971, 0.72303238370195011,
    0.72301825867769609, 0.72299951614278113, 0.72297617367167222,
    0.72294824874459285, 0.72291575874836644, 0.72287872097724981,
    0.72283715263375714, 0.72279107082947391, 0.72274049258586182,
    0.72268543483505443, 0.7226259144206435, 0.72256194809845664,
    0.72249355253732606, 0.72242074431984737, 0.72234353994313194,
    0.72226195581954922, 0.72217600827746087, 0.72208571356194695,
    0.72199108783552435, 0.72189214717885586, 0.72178890759145253,
    0.72168138499236822, 0.7215695952208856, 0.72145355403719491,
    0.72133327712306639, 0.72120878008251321, 0.72108007844244815,
    0.72094718765333421, 0.72081012308982595, 0.72066890005140549,
    0.72052353376301082, 0.72037403937565803, 0.72022043196705532,
    0.72006272654221193, 0.71990093803404021, 0.71973508130395003,
    0.71956517114243856, 0.71939122226967267, 0.71921324933606479,
    0.71903126692284347, 0.71884528954261773, 0.71865533163993445,
    0.71846140759183186, 0.71826353170838397, 0.71806171823324294,
    0.71785598134417261, 0.71764633515357823, 0.71743279370902957,
    0.71721537099377952, 0.71699408092727579, 0.71676893736566882,
    0.71653995410231308, 0.71630714486826286, 0.71607052333276544,
    0.71583010310374462, 0.71558589772828363, 0.71533792069309965,
    0.71508618542501545, 0.71483070529142378, 0.7145714936007499,
    0.7143085636029064, 0.7140419284897449, 0.71377160139550122,
    0.713497595397238, 0.71321992351528118, 0.71293859871365117,
    0.71265363390049186, 0.71236504192849126, 0.71207283559530199,
    0.71177702764395256, 0.71147763076325798, 0.7111746575882234,
    0.71086812070044492, 0.71055803262850459, 0.71024440584836102,
    0.70992725278373747, 0.70960658580650238, 0.70928241723704866,
    0.70895475934466645, 0.70862362434791193, 0.70828902441497299,
    0.70795097166402854, 0.70760947816360498, 0.70726455593292792,
    0.7069162169422688, 0.70656447311328863, 0.70620933631937588,
    0.70585081838598029, 0.70548893109094335, 0.70512368616482313,
    0.70475509529121427, 0.70438317010706597, 0.70400792220299213,
    0.70362936312357993, 0.70324750436769101, 0.70286235738876113,
    0.70247393359509247, 0.70208224435014233, 0.70168730097280785,
    0.70128911473770383, 0.70088769687543795, 0.7004830585728794,
    0.70007521097342262, 0.69966416517724705, 0.69924993224157006,
    0.69883252318089595, 0.69841194896725822, 0.69798822053045706,
    0.69756134875829123, 0.6971313444967836, 0.69669821855040082,
    0.69626198168226705, 0.69582264461437149, 0.69538021802776873,
    0.69493471256277317, 0.69448613881914611, 0.69403450735627592,
    0.69357982869335044, 0.69312211330952311, 0.6926613716440686,
    0.69219761409653258, 0.69173085102687282, 0.69126109275558933,
    0.69078834956384805, 0.69031263169359336, 0.68983394934764997,
    0.68935231268981634, 0.68886773184494554, 0.68838021689901496,
    0.68788977789918415, 0.68739642485384045, 0.68690016773263074,
    0.68640101646647911, 0.68589898094759061, 0.68539407102943872,
    0.68488629652673738, 0.68437566721539478, 0.68386219283244964,
    0.68334588307598754, 0.6828267476050377, 0.68230479603944671,
    0.68178003795973041, 0.6812524829069011, 0.68072214038226719,
    0.68018901984720648, 0.67965313072291, 0.67911448239009231, 0.67857308418866935,
    0.6780289454174, 0.67748207533348759, 0.67693248315214094, 0.67638017804608863,
    0.67582516914504764, 0.67526746553513772, 0.67470707625824022,
    0.67414401031129778, 0.67357827664554593, 0.67300988416567653,
    0.67243884172892254, 0.67186515814406067, 0.67128884217032203,
    0.6707099025162061, 0.67012834783818498, 0.66954418673929184,
    0.6689574277675796, 0.66836807941444054, 0.66777615011276981,
    0.66718164823495973, 0.66658458209070792, 0.66598495992461726,
    0.66538278991356881, 0.66477808016384221, 0.6641708387079539,
    0.66356107350118321, 0.66294879241775084, 0.66233400324660519,
    0.66171671368677232, 0.66109693134221492, 0.66047466371613461,
    0.65984991820464811, 0.65922270208975253, 0.65859302253147745,
    0.65796088655911356, 0.65732630106137835, 0.65668927277535916,
    0.65604980827404225, 0.65540791395219911, 0.65476359601035639,
    0.65411686043651529, 0.65346771298521822, 0.65281615915346303,
    0.65216220415285664, 0.65150585287723817, 0.65084710986481642,
    0.65018597925359556, 0.64952246472852893, 0.64885656945836157,
    0.64818829601948924, 0.64751764630325681, 0.64684462140185506,
    0.646169221466115, 0.64549144552577065, 0.64481129125857295,
    0.64412875468807984, 0.64344382977928827, 0.64275650788319449,
    0.64206677694922998, 0.64137462036380188, 0.64068001514963335,
    0.63998292898386888, 0.63928331478691058, 0.6385810994577602,
    0.63787615413745602, 0.63716814159292035, 0.63716814159292035
  ), tn = c(
    0, 0, 0.45991211074007265, 0.96057835335201014, 1.4647887818674366,
    1.967121969028786, 2.4656935535847317, 2.9597200391488458, 3.4488680909427805,
    3.9330164323751347, 4.4121522082296645, 4.8863205662368561, 5.3555981778131043,
    5.8200785558422048, 6.2798635955334996, 6.7350585742066151, 7.1857691536208117,
    7.6320995792455593, 8.0741516128090982, 8.5120239223958745, 8.9458117616295993,
    9.375606832691334, 9.8014972662052173, 10.223567674759112, 10.641899251839298,
    11.05656989761893, 11.467654359345813, 11.875224378244205, 12.279348837626427,
    12.680093908781391, 13.07752319247105, 13.471697854723931, 13.86267675619542,
    14.250516574756512, 14.635271921235319, 15.016995448408345, 15.395737953449929,
    15.771548474116321, 16.144474378979261, 16.514561452043029, 16.881853972083736,
    17.246394787044821, 17.608225383812659, 17.967385953682275, 18.323915453807086,
    18.677851664908896, 19.029231245507312, 19.378089782910223, 19.724461841190291,
    20.068381006356287, 20.40987992891267, 20.748990363986874, 21.085743209190319,
    21.42016854036649, 21.752295645368168, 22.082153055995029, 22.409768578213253,
    22.735169320769522, 23.05838172230305, 23.379431577052525, 23.698344059246612,
    24.015143746261302, 24.329854640620105, 24.642500190908734, 24.953103311670155,
    25.261686402341436, 25.568271365289284, 25.872879622997541, 26.175532134455999,
    26.476249410796548, 26.775051530219464, 27.071958152250055, 27.366988531362928,
    27.66016153000886, 27.951495631076689, 28.24100894982098, 28.528719245283941,
    28.814643931238386, 29.098800086676743, 29.381204465869551, 29.66187350801583,
    29.940823346505791, 30.218069817815252, 30.493628470050517, 30.767514571160294,
    31.039743116831652, 31.31032883808448, 31.579286208579429, 31.846629451652646,
    32.11237254709016, 32.376529237654069, 32.639113035371686, 32.900137227598819,
    33.159614882867182, 33.417558856525503, 33.673981796183497, 33.928896146967688,
    34.182314156596711, 34.434247880284339, 34.68470918547726, 34.933709756434901,
    35.1812610986577, 35.427374543170266, 35.672061250665209, 35.915332215513679,
    36.157198269647729, 36.397670086319764, 36.636758183743837, 36.87447292862386,
    37.110824539572583, 37.34582309042618, 37.579478513457886, 37.811800602495012,
    38.042799015942961, 38.272483279719282, 38.500862790101749, 38.727946816493187,
    38.953744504106425, 39.178264876572044, 39.401516838471778, 39.623509177800379,
    39.844250568358376, 40.063749572078166, 40.282014641285713, 40.499054120900361,
    40.714876250574648, 40.929489166776293, 41.142900904814205, 41.355119400810622,
    41.566152493621104, 41.776007926703926, 41.984693349940876, 42.192216321410797,
    42.398584309117631, 42.603804692674181, 42.80788476494326, 43.010831733637474,
    43.212652722879064, 43.413354774720759, 43.612944850629304, 43.811429832932554,
    44.008816526231271, 44.205111658776744, 44.400321883815423, 44.594453780901226,
    44.787513857176911, 44.979508548625056, 45.170444221289891, 45.360327172470505,
    45.549163631886614, 45.736959762817456, 45.923721663214565, 46.109455366789476,
    46.294166844076692, 46.477862003473, 46.660546692253327, 46.842226697564406,
    47.022907747396317, 47.202595511532898, 47.381295602481345, 47.559013576381744,
    47.735754933897127, 47.91152512108431, 48.086329530246346, 48.260173500766896,
    48.433062319927089, 48.605001223705273, 48.77599539756018, 48.946049977197831,
    49.115170049322764, 49.283360652373901, 49.450626777245319, 49.616973367992664,
    49.782405322525157, 49.94692749328398, 50.110544687906888, 50.273261669879957,
    50.435083159176322, 50.596013832882505, 50.756058325812489, 50.915221231109953,
    51.073507100838889, 51.230920446562877, 51.387465739913324, 51.543147413146954,
    51.697969859692769, 51.851937434688736, 52.005054455508407, 52.157325202277825,
    52.308753918382834, 52.459344810967117, 52.609102051420948, 52.75802977586126,
    52.906132085602863, 53.053413047621277, 53.199876695007049, 53.34552702741226,
    53.490368011488826, 53.634403581319226, 53.777637638839529, 53.920074054255061,
    54.061716666448845, 54.202569283382942, 54.342635682492812, 54.481919611074943,
    54.620424786667819, 54.7581548974265, 54.89511360249066, 55.031304532346589,
    55.166731289183033, 55.301397447241129, 55.435306553158412, 55.568462126307288,
    55.70086765912778, 55.832526617454903, 55.963442440840616, 56.093618542870566,
    56.223058311475711, 56.351765109238983, 56.4797422736968, 56.606993117636037,
    56.733520929386088, 56.859328973106365, 56.984420489069251, 57.108798693938553,
    57.23246678104374, 57.35542792064976, 57.477685260222692, 57.599241924691427,
    57.720101016705144, 57.84026561688696, 57.95973878408369, 58.078523555611746,
    58.196622947499442, 58.314039954725544, 58.430777551454227, 58.546838691266686,
    58.662226307389069, 58.776943312917211, 58.890992601037979, 59.004377045247352,
    59.11709949956537, 59.229162798747879, 59.340569758495256, 59.45132317565804,
    59.561425828439731, 59.670880476596544, 59.779689861634374, 59.887856707002953,
    59.995383718287272, 60.102273583396247, 60.208528972748745, 60.314152539457069,
    60.419146919507789, 60.523514731940132, 60.627258579021841, 60.730381046422636,
    60.832884703385304, 60.934772102894456, 61.03604578184288, 61.136708261195814,
    61.236762046152784, 61.336209626307458, 61.435053475805212, 61.533296053498631,
    61.630939803100958, 61.727987153337494, 61.824440518094953, 61.920302296568906,
    62.015574873409243, 62.110260618863741, 62.20436188891982, 62.297881025444283,
    62.390820356321505, 62.483182195589592, 62.574968843574943, 62.66618258702502,
    62.756825699239457, 62.846900440199455, 62.936409056695602, 63.025353782454033,
    63.113736838260991, 63.201560432085856, 63.288826759202664, 63.375538002310009,
    63.46169633164957, 63.547303905123101, 63.632362868407995, 63.716875355071465,
    63.800843486683277, 63.884269372927108, 63.967155111710582, 64.049502789273987,
    64.13131448029759, 64.21259224800778, 64.293338144281805, 64.373554209751418,
    64.453242473905092, 64.53240495518925, 64.611043661108042, 64.689160588322139,
    64.76675772274632, 64.843837039645834, 64.920400503731742, 64.996450069255062,
    65.07198768009988, 65.147015269875368, 65.221534762006684, 65.295548069824946,
    65.369057096656007, 65.442063735908391, 65.51456987116012, 65.58657737624452,
    65.658088115335161, 65.729103943029799, 65.799626704433308, 65.86965823523974,
    65.939200361813477, 66.008254901269424, 66.076823661552339, 66.144908441515298,
    66.212511030997248, 66.279633210899703, 66.346276753262671, 66.412443421339646,
    66.478134969671785, 66.543353144161401, 66.608099682144456, 66.672376312462433,
    66.736184755533344, 66.799526723421963, 66.86240391990934, 66.924818040561533,
    66.986770772797612, 67.048263795956913, 67.109298781365624, 67.169877392402569,
    67.230001284564366, 67.289672105529846, 67.348891495223825, 67.407661085880122,
    67.465982502103998, 67.523857360933889, 67.58128727190244, 67.638273837096989,
    67.694818651219308, 67.750923301644804, 67.806589368481042, 67.861818424625611,
    67.916612035823519, 67.970971760723799, 68.024899150935624, 68.078395751083903,
    68.131463098864046, 68.184102725096452, 68.236316153780152, 68.288104902146117,
    68.33947048070975, 68.390414393323084, 68.440938137226283, 68.491043203098513,
    68.540731075108468, 68.590003230964214, 68.638861141962579, 68.68730627303789,
    68.735340082810367, 68.782964023633809, 68.830179541642906, 68.876988076799904,
    68.923391062940908, 68.969389927821496, 69.014986093162022, 69.060180974692258,
    69.104975982195526, 69.149372519552557, 69.193371984784477, 69.236975770095697,
    69.280185261915989, 69.323001840942226, 69.365426882179619, 69.407461754982393,
    69.44910782309401, 69.490366444686998, 69.531238972402008, 69.571726753386741,
    69.611831129334092, 69.65155343651989, 69.690895005840204, 69.729857162848106,
    69.768441227789793, 69.806648515640518, 69.844480336139682, 69.881937993825588,
    69.91902278806964, 69.955736013110041, 69.992078958084974, 70.028052907065103,
    70.063659139085786, 70.098898928178542, 70.133773543401986, 70.168284248872354,
    70.202432303793231, 70.236218962484884, 70.269645474412883, 70.302713084216194,
    70.335423031734621, 70.367776552035579, 70.399774875440329, 70.431419227549455,
    70.462710829267706, 70.493650896828086, 70.524240641815368, 70.554481271188749,
    70.584373987303735, 70.613919987933372, 70.643120466288522, 70.671976611037451,
    70.700489606324453, 70.728660631787577, 70.756490862575504, 70.783981469363439,
    70.81113361836789, 70.837948471360633, 70.864427185681336, 70.890570914249224,
    70.91638080557351, 70.941858003762604, 70.967003648531929, 70.991818875210541,
    71.016304814746206, 71.040462593708995, 71.064293334293353, 71.087798154318435,
    71.110978167226762, 71.133834482081014, 71.156368203558785, 71.178580431945477,
    71.200472263124752, 71.222044788566905, 71.243299095314612, 71.264236265966176,
    71.284857378655957, 71.305163507031807, 71.325155720229446, 71.344835082843431,
    71.364202654894513, 71.383259491793211, 71.402006644299263, 71.420445158476667,
    71.438576075643979, 71.456400432319555, 71.473919260161423, 71.491133585901082,
    71.508044431271173, 71.524652812926163, 71.540959742355696, 71.556966225789935,
    71.572673264096224, 71.588081852666321, 71.603192981293361, 71.618007634037752,
    71.632526789080856, 71.646751418565415, 71.660682488421429, 71.674320958176196,
    71.687667780746906, 71.700723902213866, 71.7134902615729, 71.725967790464139,
    71.738157412875154, 71.750060044815541, 71.761676593959649, 71.773007959254059,
    71.784055030485689, 71.794818687805716, 71.8052998012041, 71.815499229928605,
    71.825417821841015, 71.835056412702542, 71.844415825378832, 71.853496868953229,
    71.862300337735604, 71.870827010151018, 71.879077647490334, 71.887052992501012,
    71.894753767792224, 71.902180674023498, 71.909334387838953, 71.916215559501865,
    71.922824810173026, 71.929162728763984, 71.935229868278597, 71.941026741534429,
    71.94655381612597, 71.95181150845292, 71.956800176583499, 71.961520111650415,
    71.965971527375658, 71.970154547176747, 71.974069188097616, 71.977715340498193,
    71.981092741964332, 71.9842009431581, 71.987039262124142, 71.98960672152505,
    71.991901959646555, 71.993923099152667, 71.995667543611106, 71.997131640539209,
    71.99831006994242, 71.999194571407926, 71.999770583873044, 72,
    72
  ), tp = c(
    41, 41, 40.919765166340504, 40.839530332681015, 40.759295499021526,
    40.679060665362037, 40.598825831702541, 40.518590998043045, 40.438356164383556,
    40.358121330724067, 40.277886497064578, 40.197651663405082, 40.117416829745594,
    40.037181996086105, 39.956947162426616, 39.87671232876712, 39.796477495107631,
    39.716242661448142, 39.636007827788646, 39.555772994129157, 39.475538160469668,
    39.395303326810179, 39.315068493150683, 39.234833659491187, 39.154598825831698,
    39.074363992172209, 38.99412915851272, 38.913894324853224, 38.833659491193735,
    38.753424657534246, 38.67318982387475, 38.592954990215262, 38.512720156555773,
    38.432485322896284, 38.352250489236788, 38.272015655577292, 38.191780821917803,
    38.111545988258314, 38.031311154598825, 37.951076320939329, 37.87084148727984,
    37.790606653620351, 37.710371819960862, 37.630136986301366, 37.549902152641877,
    37.469667318982388, 37.389432485322892, 37.309197651663403, 37.228962818003914,
    37.148727984344426, 37.06849315068493, 36.988258317025434, 36.908023483365945,
    36.827788649706456, 36.747553816046967, 36.667318982387471, 36.587084148727982,
    36.506849315068493, 36.426614481409004, 36.346379647749508, 36.266144814090019,
    36.18590998043053, 36.105675146771034, 36.025440313111545, 35.945205479452056,
    35.86497064579256, 35.784735812133064, 35.704500978473575, 35.624266144814086,
    35.544031311154598, 35.463796477495109, 35.383561643835613, 35.303326810176131,
    35.223091976516635, 35.142857142857139, 35.06262230919765, 34.982387475538161,
    34.902152641878672, 34.821917808219176, 34.74168297455968, 34.661448140900191,
    34.581213307240702, 34.500978473581213, 34.420743639921717, 34.340508806262228,
    34.260273972602739, 34.180039138943243, 34.099804305283755, 34.019569471624266,
    33.939334637964777, 33.859099804305288, 33.778864970645792, 33.698630136986303,
    33.618395303326814, 33.538160469667318, 33.457925636007822, 33.377690802348333,
    33.297455968688844, 33.217221135029355, 33.136986301369852, 33.05675146771037,
    32.976516634050881, 32.896281800391392, 32.816046966731896, 32.735812133072407,
    32.655577299412919, 32.575342465753423, 32.495107632093926, 32.414872798434438,
    32.334637964774949, 32.25440313111546, 32.174168297455964, 32.093933463796475,
    32.013698630136986, 31.933463796477493, 31.853228962818001, 31.772994129158512,
    31.692759295499023, 31.612524461839534, 31.532289628180035, 31.452054794520546,
    31.37181996086106, 31.291585127201568, 31.211350293542072, 31.131115459882583,
    31.050880626223098, 30.970645792563598, 30.890410958904106, 30.810176125244617,
    30.729941291585128, 30.649706457925635, 30.569471624266139, 30.48923679060665,
    30.409001956947161, 30.328767123287669, 30.248532289628177, 30.168297455968691,
    30.088062622309199, 30.007827788649706, 29.92759295499021, 29.847358121330721,
    29.767123287671232, 29.686888454011743, 29.606653620352247, 29.526418786692759,
    29.44618395303327, 29.365949119373774, 29.285714285714281, 29.205479452054792,
    29.125244618395303, 29.045009784735811, 28.964774951076318, 28.884540117416829,
    28.804305283757341, 28.724070450097845, 28.643835616438352, 28.563600782778863,
    28.483365949119374, 28.403131115459882, 28.322896281800389, 28.2426614481409,
    28.162426614481411, 28.082191780821915, 28.001956947162423, 27.921722113502934,
    27.841487279843445, 27.761252446183953, 27.681017612524457, 27.600782778864964,
    27.520547945205479, 27.440313111545983, 27.360078277886494, 27.279843444227005,
    27.199608610567516, 27.119373776908017, 27.039138943248528, 26.958904109589039,
    26.87866927592955, 26.798434442270057, 26.718199608610565, 26.637964774951076,
    26.557729941291587, 26.477495107632091, 26.397260273972599, 26.31702544031311,
    26.236790606653621, 26.156555772994128, 26.076320939334636, 25.996086105675147,
    25.915851272015658, 25.835616438356162, 25.755381604696669, 25.675146771037181,
    25.594911937377692, 25.514677103718199, 25.434442270058703, 25.354207436399214,
    25.273972602739725, 25.193737769080233, 25.11350293542074, 25.033268101761252,
    24.953033268101763, 24.87279843444227, 24.792563600782774, 24.712328767123285,
    24.632093933463796, 24.551859099804304, 24.471624266144811, 24.391389432485322,
    24.311154598825834, 24.230919765166337, 24.150684931506845, 24.070450097847356,
    23.990215264187867, 23.909980430528375, 23.829745596868882, 23.749510763209393,
    23.669275929549904, 23.589041095890408, 23.508806262230916, 23.428571428571427,
    23.348336594911938, 23.268101761252446, 23.18786692759295, 23.107632093933461,
    23.027397260273972, 22.947162426614479, 22.866927592954987, 22.786692759295498,
    22.706457925636009, 22.626223091976517, 22.545988258317021, 22.465753424657532,
    22.385518590998043, 22.30528375733855, 22.225048923679058, 22.144814090019569,
    22.06457925636008, 21.984344422700588, 21.904109589041092, 21.823874755381603,
    21.743639921722114, 21.663405088062621, 21.583170254403129, 21.50293542074364,
    21.422700587084151, 21.342465753424655, 21.262230919765162, 21.181996086105674,
    21.101761252446185, 21.021526418786692, 20.9412915851272, 20.861056751467711,
    20.780821917808222, 20.700587084148726, 20.620352250489233, 20.540117416829744,
    20.459882583170252, 20.379647749510763, 20.299412915851271, 20.219178082191778,
    20.138943248532289, 20.058708414872797, 19.978473581213308, 19.898238747553815,
    19.818003913894323, 19.737769080234834, 19.657534246575342, 19.577299412915849,
    19.49706457925636, 19.416829745596868, 19.336594911937375, 19.256360078277886,
    19.176125244618394, 19.095890410958901, 19.015655577299412, 18.93542074363992,
    18.855185909980431, 18.774951076320939, 18.694716242661446, 18.614481409001957,
    18.534246575342465, 18.454011741682972, 18.373776908023483, 18.293542074363991,
    18.213307240704498, 18.13307240704501, 18.052837573385517, 17.972602739726028,
    17.892367906066536, 17.812133072407043, 17.731898238747554, 17.651663405088062,
    17.571428571428569, 17.49119373776908, 17.410958904109592, 17.330724070450096,
    17.250489236790607, 17.170254403131114, 17.090019569471622, 17.009784735812133,
    16.929549902152644, 16.849315068493151, 16.769080234833659, 16.688845401174166,
    16.608610567514678, 16.528375733855185, 16.448140900195693, 16.367906066536204,
    16.287671232876711, 16.207436399217222, 16.12720156555773, 16.046966731898237,
    15.966731898238747, 15.886497064579256, 15.806262230919764, 15.726027397260273,
    15.645792563600784, 15.565557729941291, 15.485322896281799, 15.405088062622308,
    15.324853228962819, 15.244618395303325, 15.164383561643834, 15.084148727984344,
    15.003913894324855, 14.923679060665361, 14.84344422700587, 14.763209393346379,
    14.682974559686887, 14.602739726027396, 14.522504892367905, 14.442270058708415,
    14.36203522504892, 14.281800391389433, 14.201565557729943, 14.121330724070452,
    14.041095890410958, 13.960861056751469, 13.880626223091976, 13.800391389432484,
    13.720156555772995, 13.639921722113503, 13.559686888454012, 13.479452054794523,
    13.399217221135029, 13.318982387475538, 13.238747553816044, 13.158512720156555,
    13.078277886497064, 12.998043052837573, 12.917808219178085, 12.837573385518592,
    12.757338551859096, 12.677103718199607, 12.596868884540118, 12.516634050880626,
    12.436399217221135, 12.356164383561643, 12.275929549902152, 12.195694716242661,
    12.115459882583172, 12.035225048923678, 11.954990215264189, 11.874755381604693,
    11.794520547945208, 11.714285714285714, 11.634050880626219, 11.553816046966734,
    11.47358121330724, 11.393346379647749, 11.313111545988255, 11.232876712328766,
    11.152641878669277, 11.072407045009784, 10.992172211350294, 10.911937377690801,
    10.831702544031312, 10.751467710371822, 10.671232876712331, 10.590998043052837,
    10.510763209393346, 10.430528375733855, 10.350293542074366, 10.270058708414874,
    10.189823874755382, 10.109589041095889, 10.029354207436398, 9.9491193737769041,
    9.8688845401174188, 9.7886497064579245, 9.7084148727984338, 9.6281800391389378,
    9.5479452054794542, 9.46771037181996, 9.3874755381604675, 9.3072407045009786,
    9.2270058708414897, 9.1467710371819972, 9.066536203522503, 8.9863013698630123,
    8.9060665362035216, 8.8258317025440309, 8.7455968688845385, 8.6653620352250478,
    8.5851272015655571, 8.5048923679060646, 8.4246575342465757, 8.3444227005870832,
    8.2641878669275908, 8.1839530332681019, 8.1037181996086094, 8.0234833659491205,
    7.943248532289628, 7.8630136986301391, 7.7827788649706466, 7.7025440313111542,
    7.6223091976516653, 7.5420743639921719, 7.461839530332683, 7.3816046966731896,
    7.3013698630136989, 7.2211350293542074, 7.1409001956947149, 7.0606653620352224,
    6.9804305283757344, 6.9001956947162419, 6.8199608610567513, 6.7397260273972623,
    6.659491193737769, 6.5792563600782783, 6.4990215264187867, 6.418786692759296,
    6.3385518590998027, 6.258317025440312, 6.178082191780824, 6.0978473581213271,
    6.0176125244618399, 5.9373776908023457, 5.8571428571428559, 5.7769080234833634,
    5.6966731898238736, 5.616438356164382, 5.5362035225048913, 5.4559686888453989,
    5.37573385518591, 5.2954990215264219, 5.2152641878669295, 5.1350293542074397,
    5.0547945205479445, 4.9745596868884538, 4.894324853228964, 4.8140900195694716,
    4.73385518590998, 4.6536203522504875, 4.5733855185909968, 4.4931506849315062,
    4.4129158512720164, 4.3326810176125257, 4.2524461839530323, 4.1722113502935407,
    4.0919765166340527, 4.0117416829745602, 3.9315068493150704, 3.8512720156555775,
    3.7710371819960855, 3.6908023483365957, 3.6105675146771046, 3.5303326810176117,
    3.4500978473581223, 3.3698630136986316, 3.2896281800391418, 3.209393346379648,
    3.129158512720156, 3.0489236790606662, 2.9686888454011755, 2.8884540117416844,
    2.8082191780821923, 2.7279843444227003, 2.6477495107632105, 2.5675146771037194,
    2.4872798434442278, 2.4070450097847385, 2.3268101761252464, 2.2465753424657535,
    2.1663405088062651, 2.0861056751467726, 2.0058708414872815, 1.9256360078277897,
    1.8454011741682987, 1.7651663405088074, 1.6849315068493158, 1.6046966731898256,
    1.5244618395303329, 1.4442270058708433, 1.3639921722113517, 1.2837573385518593,
    1.2035225048923686, 1.1232876712328772, 1.0430528375733856, 0.96281800391389483,
    0.88258317025440369, 0.802348336594912, 0.72211350293542165,
    0.64187866927593051, 0.5616438356164386, 0.48140900195694708,
    0.40117416829745678, 0.32093933463796553, 0.24070450097847404,
    0.16046966731898246, 0.080234833659491328, 0, 0
  ), fn = c(
    0, 0,
    0.080234833659496019, 0.16046966731898493, 0.24070450097847385,
    0.32093933463796276, 0.40117416829745878, 0.4814090019569548,
    0.56164383561644371, 0.64187866927593262, 0.72211350293542154,
    0.80234833659491755, 0.88258317025440647, 0.96281800391389538,
    1.0430528375733843, 1.1232876712328803, 1.2035225048923692, 1.2837573385518581,
    1.3639921722113542, 1.4442270058708431, 1.524461839530332, 1.6046966731898209,
    1.6849315068493169, 1.7651663405088129, 1.8454011741683018, 1.9256360078277908,
    2.0058708414872797, 2.0861056751467757, 2.1663405088062646, 2.2465753424657535,
    2.3268101761252495, 2.4070450097847385, 2.4872798434442274, 2.5675146771037163,
    2.6477495107632123, 2.7279843444227083, 2.8082191780821972, 2.8884540117416861,
    2.9686888454011751, 3.0489236790606711, 3.12915851272016, 3.2093933463796489,
    3.2896281800391378, 3.3698630136986338, 3.4500978473581227, 3.5303326810176117,
    3.6105675146771077, 3.6908023483365966, 3.7710371819960855, 3.8512720156555744,
    3.9315068493150704, 4.0117416829745665, 4.0919765166340554, 4.1722113502935443,
    4.2524461839530332, 4.3326810176125292, 4.4129158512720181, 4.493150684931507,
    4.573385518590996, 4.653620352250492, 4.7338551859099809, 4.8140900195694698,
    4.8943248532289658, 4.9745596868884547, 5.0547945205479436, 5.1350293542074397,
    5.2152641878669357, 5.2954990215264246, 5.3757338551859135, 5.4559686888454024,
    5.5362035225048913, 5.6164383561643874, 5.6966731898238692, 5.7769080234833652,
    5.8571428571428612, 5.9373776908023501, 6.017612524461839, 6.0978473581213279,
    6.178082191780824, 6.25831702544032, 6.3385518590998089, 6.4187866927592978,
    6.4990215264187867, 6.5792563600782827, 6.6594911937377717, 6.7397260273972606,
    6.8199608610567566, 6.9001956947162455, 6.9804305283757344, 7.0606653620352233,
    7.1409001956947122, 7.2211350293542083, 7.3013698630136972, 7.3816046966731861,
    7.4618395303326821, 7.5420743639921781, 7.622309197651667, 7.7025440313111559,
    7.7827788649706449, 7.863013698630148, 7.9432485322896298, 8.0234833659491187,
    8.1037181996086076, 8.1839530332681036, 8.2641878669275926, 8.3444227005870815,
    8.4246575342465775, 8.5048923679060735, 8.5851272015655624, 8.6653620352250513,
    8.7455968688845402, 8.8258317025440363, 8.9060665362035252, 8.9863013698630141,
    9.0665362035225066, 9.146771037181999, 9.2270058708414879, 9.3072407045009768,
    9.3874755381604658, 9.4677103718199653, 9.5479452054794542, 9.6281800391389396,
    9.7084148727984321, 9.7886497064579281, 9.868884540117417, 9.9491193737769024,
    10.029354207436402, 10.109589041095894, 10.189823874755383, 10.270058708414872,
    10.350293542074365, 10.430528375733861, 10.51076320939335, 10.590998043052839,
    10.671232876712331, 10.751467710371823, 10.831702544031309, 10.911937377690801,
    10.992172211350294, 11.07240704500979, 11.152641878669279, 11.232876712328768,
    11.313111545988257, 11.393346379647753, 11.473581213307241, 11.55381604696673,
    11.634050880626226, 11.714285714285719, 11.794520547945208, 11.874755381604697,
    11.954990215264189, 12.035225048923682, 12.115459882583171, 12.195694716242659,
    12.275929549902155, 12.356164383561648, 12.436399217221137, 12.516634050880626,
    12.596868884540118, 12.677103718199611, 12.7573385518591, 12.837573385518589,
    12.917808219178085, 12.998043052837577, 13.078277886497066, 13.158512720156555,
    13.238747553816047, 13.318982387475543, 13.399217221135036, 13.479452054794521,
    13.559686888454017, 13.639921722113506, 13.720156555772995, 13.800391389432484,
    13.880626223091983, 13.960861056751472, 14.041095890410961, 14.12133072407045,
    14.201565557729943, 14.281800391389435, 14.362035225048924, 14.442270058708413,
    14.522504892367909, 14.602739726027401, 14.68297455968689, 14.763209393346379,
    14.843444227005872, 14.923679060665364, 15.003913894324853, 15.084148727984342,
    15.164383561643838, 15.244618395303331, 15.324853228962819, 15.405088062622308,
    15.485322896281801, 15.565557729941297, 15.645792563600786, 15.726027397260275,
    15.806262230919767, 15.88649706457926, 15.966731898238748, 16.046966731898237,
    16.12720156555773, 16.207436399217226, 16.287671232876715, 16.367906066536204,
    16.448140900195696, 16.528375733855189, 16.608610567514678, 16.688845401174166,
    16.769080234833663, 16.849315068493155, 16.929549902152644, 17.009784735812133,
    17.090019569471625, 17.170254403131118, 17.250489236790607, 17.330724070450096,
    17.410958904109592, 17.491193737769084, 17.571428571428573, 17.651663405088062,
    17.731898238747554, 17.81213307240705, 17.892367906066539, 17.972602739726028,
    18.052837573385521, 18.133072407045013, 18.213307240704502, 18.293542074363991,
    18.373776908023483, 18.454011741682979, 18.534246575342468, 18.614481409001957,
    18.69471624266145, 18.774951076320942, 18.855185909980431, 18.93542074363992,
    19.015655577299412, 19.095890410958908, 19.176125244618397, 19.256360078277886,
    19.336594911937379, 19.416829745596871, 19.49706457925636, 19.577299412915849,
    19.657534246575345, 19.737769080234838, 19.818003913894326, 19.898238747553815,
    19.978473581213308, 20.0587084148728, 20.138943248532289, 20.219178082191778,
    20.299412915851274, 20.379647749510767, 20.459882583170256, 20.540117416829748,
    20.620352250489237, 20.700587084148729, 20.780821917808222, 20.861056751467711,
    20.941291585127203, 21.021526418786692, 21.101761252446185, 21.181996086105677,
    21.262230919765166, 21.342465753424658, 21.422700587084151, 21.50293542074364,
    21.583170254403132, 21.663405088062625, 21.743639921722114, 21.823874755381606,
    21.904109589041099, 21.984344422700588, 22.06457925636008, 22.144814090019569,
    22.225048923679061, 22.305283757338554, 22.385518590998043, 22.465753424657535,
    22.545988258317028, 22.626223091976517, 22.706457925636009, 22.786692759295502,
    22.86692759295499, 22.947162426614483, 23.027397260273972, 23.107632093933464,
    23.187866927592957, 23.268101761252446, 23.348336594911938, 23.428571428571431,
    23.50880626223092, 23.589041095890408, 23.669275929549904, 23.749510763209393,
    23.829745596868886, 23.909980430528378, 23.990215264187867, 24.070450097847356,
    24.150684931506849, 24.230919765166341, 24.311154598825834, 24.391389432485322,
    24.471624266144815, 24.551859099804307, 24.632093933463796, 24.712328767123289,
    24.792563600782778, 24.87279843444227, 24.953033268101763, 25.033268101761252,
    25.113502935420744, 25.193737769080236, 25.273972602739725, 25.354207436399214,
    25.43444227005871, 25.514677103718199, 25.594911937377692, 25.675146771037181,
    25.755381604696673, 25.835616438356166, 25.915851272015658, 25.996086105675147,
    26.076320939334639, 26.156555772994132, 26.236790606653621, 26.317025440313113,
    26.397260273972606, 26.477495107632095, 26.557729941291583, 26.63796477495108,
    26.718199608610568, 26.798434442270057, 26.878669275929546, 26.958904109589042,
    27.039138943248531, 27.119373776908024, 27.199608610567516, 27.279843444227005,
    27.360078277886497, 27.44031311154599, 27.520547945205479, 27.600782778864971,
    27.681017612524464, 27.761252446183956, 27.841487279843445, 27.921722113502938,
    28.001956947162427, 28.082191780821915, 28.162426614481408, 28.242661448140904,
    28.322896281800393, 28.403131115459882, 28.483365949119374, 28.563600782778863,
    28.643835616438359, 28.724070450097848, 28.804305283757337, 28.884540117416826,
    28.964774951076322, 29.045009784735811, 29.125244618395307, 29.205479452054792,
    29.285714285714285, 29.365949119373781, 29.446183953033266, 29.526418786692759,
    29.606653620352251, 29.686888454011743, 29.767123287671232, 29.847358121330721,
    29.927592954990217, 30.007827788649706, 30.088062622309199, 30.168297455968688,
    30.24853228962818, 30.328767123287669, 30.409001956947165, 30.489236790606654,
    30.569471624266143, 30.649706457925632, 30.729941291585128, 30.810176125244617,
    30.890410958904113, 30.970645792563602, 31.050880626223098, 31.131115459882579,
    31.211350293542075, 31.291585127201564, 31.37181996086106, 31.452054794520546,
    31.532289628180038, 31.612524461839534, 31.692759295499023, 31.772994129158512,
    31.853228962818001, 31.933463796477497, 32.013698630136986, 32.093933463796475,
    32.174168297455971, 32.25440313111546, 32.334637964774956, 32.414872798434445,
    32.495107632093934, 32.575342465753423, 32.655577299412919, 32.735812133072407,
    32.816046966731896, 32.896281800391392, 32.976516634050881, 33.05675146771037,
    33.136986301369859, 33.217221135029355, 33.297455968688844, 33.377690802348333,
    33.457925636007829, 33.538160469667318, 33.618395303326807, 33.698630136986303,
    33.778864970645792, 33.859099804305288, 33.939334637964777, 34.019569471624266,
    34.099804305283755, 34.180039138943251, 34.260273972602739, 34.340508806262228,
    34.420743639921724, 34.500978473581213, 34.581213307240702, 34.661448140900198,
    34.741682974559687, 34.821917808219176, 34.902152641878672, 34.982387475538161,
    35.062622309197657, 35.142857142857146, 35.223091976516635, 35.303326810176124,
    35.38356164383562, 35.463796477495109, 35.544031311154598, 35.624266144814086,
    35.704500978473575, 35.784735812133071, 35.86497064579256, 35.945205479452056,
    36.025440313111545, 36.105675146771034, 36.18590998043053, 36.266144814090019,
    36.346379647749515, 36.426614481409004, 36.506849315068493, 36.587084148727982,
    36.667318982387471, 36.747553816046967, 36.827788649706463, 36.908023483365945,
    36.988258317025441, 37.06849315068493, 37.148727984344426, 37.228962818003914,
    37.309197651663403, 37.389432485322892, 37.469667318982388, 37.549902152641877,
    37.630136986301366, 37.710371819960855, 37.790606653620351, 37.870841487279847,
    37.951076320939336, 38.031311154598825, 38.111545988258314, 38.19178082191781,
    38.272015655577299, 38.352250489236788, 38.432485322896284, 38.512720156555773,
    38.592954990215262, 38.67318982387475, 38.753424657534246, 38.833659491193735,
    38.913894324853224, 38.99412915851272, 39.074363992172209, 39.154598825831698,
    39.234833659491194, 39.315068493150683, 39.395303326810172, 39.475538160469668,
    39.555772994129157, 39.636007827788646, 39.716242661448142, 39.796477495107631,
    39.87671232876712, 39.956947162426616, 40.037181996086105, 40.117416829745594,
    40.19765166340509, 40.277886497064578, 40.358121330724067, 40.438356164383563,
    40.518590998043052, 40.598825831702541, 40.679060665362037, 40.759295499021526,
    40.839530332681015, 40.919765166340511, 41, 41
  ), fp = c(
    72, 72,
    71.540087889259922, 71.039421646647995, 70.535211218132559, 70.032878030971219,
    69.534306446415272, 69.040279960851151, 68.551131909057219, 68.06698356762486,
    67.587847791770329, 67.113679433763139, 66.644401822186893, 66.179921444157799,
    65.720136404466501, 65.264941425793381, 64.814230846379189, 64.367900420754438,
    63.925848387190904, 63.487976077604124, 63.054188238370401, 62.624393167308668,
    62.198502733794783, 61.77643232524089, 61.358100748160702, 60.943430102381072,
    60.532345640654185, 60.124775621755795, 59.720651162373571, 59.319906091218613,
    58.922476807528952, 58.528302145276072, 58.13732324380458, 57.74948342524349,
    57.364728078764685, 56.983004551591655, 56.604262046550069, 56.228451525883678,
    55.855525621020739, 55.485438547956974, 55.118146027916268, 54.753605212955179,
    54.391774616187341, 54.032614046317725, 53.676084546192911, 53.3221483350911,
    52.970768754492688, 52.621910217089777, 52.275538158809709, 51.93161899364371,
    51.590120071087327, 51.251009636013123, 50.914256790809681, 50.57983145963351,
    50.247704354631836, 49.917846944004971, 49.590231421786747, 49.264830679230478,
    48.941618277696946, 48.620568422947471, 48.301655940753392, 47.984856253738698,
    47.670145359379895, 47.357499809091266, 47.046896688329845, 46.738313597658561,
    46.431728634710716, 46.127120377002456, 45.824467865544001, 45.523750589203452,
    45.224948469780536, 44.928041847749945, 44.633011468637072, 44.339838469991136,
    44.048504368923311, 43.75899105017902, 43.471280754716062, 43.185356068761614,
    42.901199913323254, 42.618795534130449, 42.33812649198417, 42.059176653494205,
    41.781930182184752, 41.506371529949483, 41.232485428839709, 40.960256883168348,
    40.68967116191552, 40.420713791420567, 40.153370548347354, 39.88762745290984,
    39.623470762345931, 39.360886964628314, 39.099862772401181, 38.840385117132818,
    38.582441143474497, 38.326018203816503, 38.071103853032312, 37.817685843403289,
    37.565752119715661, 37.31529081452274, 37.066290243565099, 36.8187389013423,
    36.572625456829734, 36.327938749334791, 36.084667784486321, 35.842801730352271,
    35.602329913680236, 35.363241816256163, 35.12552707137614, 34.889175460427417,
    34.65417690957382, 34.420521486542114, 34.188199397504988, 33.957200984057039,
    33.727516720280718, 33.499137209898251, 33.272053183506813, 33.046255495893575,
    32.821735123427956, 32.598483161528222, 32.376490822199621, 32.155749431641624,
    31.936250427921834, 31.717985358714287, 31.500945879099639, 31.285123749425352,
    31.070510833223707, 30.857099095185795, 30.644880599189378, 30.433847506378896,
    30.223992073296074, 30.015306650059124, 29.807783678589203, 29.601415690882369,
    29.396195307325819, 29.19211523505674, 28.989168266362526, 28.787347277120936,
    28.586645225279241, 28.387055149370696, 28.188570167067446, 27.991183473768729,
    27.794888341223256, 27.599678116184577, 27.405546219098774, 27.212486142823089,
    27.020491451374944, 26.829555778710109, 26.639672827529495, 26.450836368113386,
    26.263040237182544, 26.076278336785435, 25.890544633210524, 25.705833155923308,
    25.522137996527, 25.339453307746673, 25.157773302435594, 24.977092252603683,
    24.797404488467102, 24.618704397518655, 24.440986423618256, 24.264245066102873,
    24.08847487891569, 23.913670469753654, 23.739826499233104, 23.566937680072911,
    23.394998776294727, 23.22400460243982, 23.053950022802169, 22.884829950677236,
    22.716639347626099, 22.549373222754681, 22.383026632007336, 22.217594677474843,
    22.05307250671602, 21.889455312093112, 21.726738330120043, 21.564916840823678,
    21.403986167117495, 21.243941674187511, 21.084778768890047, 20.926492899161111,
    20.769079553437123, 20.612534260086676, 20.456852586853046, 20.302030140307231,
    20.148062565311264, 19.994945544491593, 19.842674797722175, 19.691246081617166,
    19.540655189032883, 19.390897948579052, 19.24197022413874, 19.093867914397137,
    18.946586952378723, 18.800123304992951, 18.65447297258774, 18.509631988511174,
    18.365596418680774, 18.222362361160471, 18.079925945744939, 17.938283333551155,
    17.797430716617058, 17.657364317507188, 17.518080388925057, 17.379575213332181,
    17.2418451025735, 17.10488639750934, 16.968695467653411, 16.833268710816967,
    16.698602552758871, 16.564693446841588, 16.431537873692712, 16.29913234087222,
    16.167473382545097, 16.036557559159384, 15.906381457129434, 15.776941688524289,
    15.648234890761017, 15.5202577263032, 15.393006882363963, 15.266479070613912,
    15.140671026893635, 15.015579510930749, 14.891201306061447, 14.76753321895626,
    14.64457207935024, 14.522314739777308, 14.400758075308573, 14.279898983294856,
    14.15973438311304, 14.04026121591631, 13.921476444388254, 13.803377052500558,
    13.685960045274456, 13.569222448545773, 13.453161308733314, 13.337773692610931,
    13.223056687082789, 13.109007398962021, 12.995622954752648, 12.88290050043463,
    12.770837201252121, 12.659430241504744, 12.54867682434196, 12.438574171560269,
    12.329119523403456, 12.220310138365626, 12.112143292997047, 12.004616281712728,
    11.897726416603753, 11.791471027251255, 11.685847460542931, 11.580853080492211,
    11.476485268059868, 11.372741420978159, 11.269618953577364, 11.167115296614696,
    11.065227897105544, 10.96395421815712, 10.863291738804186, 10.763237953847216,
    10.663790373692542, 10.564946524194788, 10.466703946501369, 10.369060196899042,
    10.272012846662506, 10.175559481905047, 10.079697703431094, 9.9844251265907573,
    9.8897393811362591, 9.79563811108018, 9.7021189745557166, 9.6091796436784946,
    9.5168178044104081, 9.4250311564250566, 9.3338174129749802, 9.2431743007605434,
    9.1530995598005447, 9.0635909433043977, 8.9746462175459669, 8.8862631617390093,
    8.7984395679141443, 8.7111732407973363, 8.6244619976899912, 8.5383036683504301,
    8.4526960948768988, 8.3676371315920051, 8.2831246449285345, 8.1991565133167228,
    8.1157306270728924, 8.0328448882894179, 7.950497210726013, 7.8686855197024101,
    7.7874077519922196, 7.7066618557181954, 7.6264457902485816, 7.5467575260949076,
    7.46759504481075, 7.3889563388919584, 7.3108394116778612, 7.2332422772536802,
    7.1561629603541661, 7.0795994962682585, 7.0035499307449385, 6.9280123199001196,
    6.8529847301246321, 6.7784652379933164, 6.704451930175054, 6.6309429033439926,
    6.5579362640916088, 6.4854301288398801, 6.4134226237554799, 6.3419118846648388,
    6.2708960569702015, 6.2003732955666919, 6.13034176476026, 6.0607996381865235,
    5.9917450987305756, 5.9231763384476608, 5.8550915584847019, 5.7874889690027516,
    5.7203667891002965, 5.6537232467373286, 5.5875565786603545, 5.5218650303282146,
    5.4566468558385992, 5.3919003178555442, 5.3276236875375673, 5.2638152444666559,
    5.2004732765780375, 5.1375960800906597, 5.0751819594384671, 5.0132292272023875,
    4.9517362040430868, 4.8907012186343763, 4.8301226075974313, 4.7699987154356336,
    4.7103278944701543, 4.6511085047761753, 4.5923389141198783, 4.5340174978960022,
    4.4761426390661114, 4.4187127280975602, 4.3617261629030111, 4.3051813487806925,
    4.2490766983551964, 4.1934106315189581, 4.1381815753743894, 4.083387964176481,
    4.0290282392762009, 3.9751008490643756, 3.9216042489160969, 3.8685369011359541,
    3.8158972749035485, 3.7636838462198483, 3.7118950978538834, 3.6605295192902503,
    3.6095856066769159, 3.5590618627737172, 3.5089567969014865, 3.459268924891532,
    3.4099967690357857, 3.3611388580374211, 3.3126937269621095, 3.2646599171896327,
    3.2170359763661907, 3.1698204583570941, 3.1230119232000959, 3.0766089370590919,
    3.0306100721785043, 2.9850139068379775, 2.9398190253077416, 2.8950240178044737,
    2.850627480447443, 2.806628015215523, 2.7630242299043033, 2.7198147380840112,
    2.6769981590577743, 2.6345731178203806, 2.5925382450176073, 2.5508921769059896,
    2.5096335553130018, 2.4687610275979921, 2.4282732466132586, 2.3881688706659077,
    2.3484465634801097, 2.3091049941597959, 2.2701428371518944, 2.2315587722102066,
    2.1933514843594821, 2.1555196638603178, 2.1180620061744122, 2.0809772119303602,
    2.044263986889959, 2.0079210419150257, 1.9719470929348972, 1.9363408609142141,
    1.9011010718214578, 1.8662264565980138, 1.8317157511276463, 1.7975676962067695,
    1.7637810375151162, 1.7303545255871171, 1.6972869157838062, 1.6645769682653793,
    1.6322234479644209, 1.600225124559671, 1.5685807724505452, 1.5372891707322935,
    1.5063491031719138, 1.4757593581846322, 1.4455187288112512, 1.415626012696265,
    1.3860800120666283, 1.3568795337114778, 1.3280233889625492, 1.299510393675547,
    1.2713393682124234, 1.2435091374244962, 1.2160185306365605, 1.1888663816321099,
    1.1620515286393669, 1.1355728143186639, 1.1094290857507758, 1.0836191944264897,
    1.0581419962373957, 1.0329963514680713, 1.0081811247894592, 0.98369518525379362,
    0.95953740629100537, 0.93570666570664685, 0.91220184568156526,
    0.88902183277323843, 0.86616551791898644, 0.84363179644121544,
    0.8214195680545231, 0.79952773687524825, 0.77795521143309543,
    0.75670090468538831, 0.73576373403382433, 0.71514262134404305,
    0.69483649296819294, 0.67484427977055361, 0.65516491715656855,
    0.63579734510548747, 0.61674050820678872, 0.59799335570073708,
    0.5795548415233327, 0.56142392435602062, 0.54359956768044526,
    0.52608073983857651, 0.50886641409891809, 0.49195556872882662,
    0.47534718707383661, 0.45904025764430401, 0.44303377421006473,
    0.42732673590377601, 0.41191814733367949, 0.39680701870663881,
    0.3819923659622475, 0.36747321091914387, 0.35324858143458471,
    0.33931751157857093, 0.32567904182380403, 0.31233221925309351,
    0.29927609778613373, 0.28650973842709959, 0.27403220953586072,
    0.2618425871248462, 0.249939955184459, 0.23832340604035096, 0.22699204074594093,
    0.21594496951431097, 0.20518131219428426, 0.19470019879589984,
    0.18450077007139498, 0.17458217815898536, 0.16494358729745784,
    0.15558417462116836, 0.14650313104677082, 0.13769966226439578,
    0.12917298984898196, 0.1209223525096661, 0.11294700749898823,
    0.10524623220777585, 0.097819325976502114, 0.090665612161046738,
    0.083784440498135382, 0.077175189826974133, 0.070837271236015908,
    0.06477013172140289, 0.058973258465570666, 0.053446183874029884,
    0.048188491547080048, 0.043199823416500749, 0.038479888349584712,
    0.034028472624342498, 0.029845452823252572, 0.025930811902384221,
    0.022284659501806914, 0.018907258035667951, 0.015799056841899528,
    0.012960737875857831, 0.010393278474950307, 0.0080980403534454126,
    0.0060769008473329222, 0.0043324563888944567, 0.0028683594607912255,
    0.0016899300575801135, 0.00080542859207355377, 0.00022941612695603908,
    0, 0
  ), npv = c(
    NaN, NaN, 0.85145739600788517, 0.85685745448893702,
    0.85886517208861901, 0.85973307003460131, 0.86006533708012345,
    0.8601014387410898, 0.85995707134118915, 0.85969543453700592,
    0.85935408419453285, 0.85895675239676628, 0.85851915470078199,
    0.85805208800817734, 0.85756319260209701, 0.85705800735303972,
    0.85654062894915894, 0.85601413858613173, 0.85548088657261345,
    0.85494268713431587, 0.85440095477911415, 0.85385680165121758,
    0.85331110825307888, 0.85276457562067576, 0.85221776435162555,
    0.85167112416389235, 0.85112501653514905, 0.85057973221970395,
    0.85003550492789504, 0.84949252209912474, 0.84895093345170336,
    0.84841085781640568, 0.84787238863379932, 0.84733559840306971,
    0.84680054230210844, 0.84626726114814677, 0.84573578383032333,
    0.84520612931692896, 0.84467830831819801, 0.84415232466871504,
    0.84362817648050525, 0.84310585710772268, 0.84258535595591533,
    0.84206665916256229, 0.8415497501706084, 0.84103461021273651,
    0.8405212187209522, 0.84000955367347685, 0.83949959188886936,
    0.8389913092756206, 0.8384846810440717, 0.83797968188638938,
    0.83747628612939951, 0.83697446786431151, 0.83647420105673731,
    0.83597545963987197, 0.83547821759327534, 0.83498244900931318,
    0.83448812814901874, 0.83399522948887161, 0.83350372775977255,
    0.83301359797930996, 0.83252481547825508, 0.83203735592209482,
    0.8315511953282898, 0.83106631007986076, 0.83058267693581356,
    0.83010027303884792, 0.82961907592073381, 0.82913906350568933,
    0.82866021411204516, 0.82818250645244595, 0.82770591963280615,
    0.82723043315020373, 0.82675602688988048, 0.82628268112148473,
    0.82581037649468159, 0.82533909403423844, 0.82486881513467614,
    0.82439952155456664, 0.82393119541054871, 0.82346381917111899,
    0.82299737565025355, 0.82253184800090384, 0.82206721970840746,
    0.82160347458384542, 0.8211405967573765, 0.8206785706715749,
    0.82021738107478948, 0.81975701301454496, 0.81929745183100133,
    0.81883868315048169, 0.81838069287908255, 0.81792346719637399,
    0.81746699254919819, 0.81701125564557098, 0.81655624344869426,
    0.81610194317107954, 0.81564834226878857, 0.81519542843579129,
    0.81474318959844483, 0.81429161391008964, 0.81384068974577062,
    0.81339040569707444, 0.81294075056709103, 0.81249171336549064,
    0.81204328330372122, 0.81159544979032183, 0.81114820242635099,
    0.81070153100092834, 0.81025542548688867, 0.80980987603654397,
    0.80936487297755455, 0.8089204068089042, 0.80847646819697871,
    0.8080330479717458, 0.8075901371230334, 0.80714772679690305,
    0.80670580829211946, 0.80626437305670995, 0.80582341268461399,
    0.80538291891242086, 0.80494288361618993, 0.80450329880835625,
    0.80406415663471598, 0.80362544937148861, 0.80318716942245849,
    0.80274930931618804, 0.80231186170330515, 0.8018748193538594,
    0.8014381751547478, 0.80100192210720644, 0.80056605332436748,
    0.80013056202887711, 0.79969544155057803, 0.79926068532424743,
    0.79882628688739554, 0.79839223987811947, 0.79795853803301053,
    0.79752517518511634, 0.79709214526195349, 0.79665944228356944,
    0.79622706036065505, 0.79579499369270268, 0.795363236566211,
    0.79493178335293424, 0.79450062850817493, 0.79406976656911887,
    0.79363919215321066, 0.79320889995657007, 0.79277888475244584,
    0.7923491413897078, 0.79191966479137632, 0.7914904499531854,
    0.79106149194218334, 0.79063278589536312, 0.79020432701832932,
    0.78977611058399422, 0.78934813193130626, 0.78892038646400819,
    0.78849286964942367, 0.78806557701727398, 0.78763850415852077,
    0.78721164672423727, 0.78678500042450406, 0.7863585610273317,
    0.7859323243576074, 0.78550628629606678, 0.78508044277828781,
    0.7846547897937084, 0.78422932338466633, 0.78380403964546086,
    0.78337893472143494, 0.78295400480807842, 0.78252924615015151,
    0.78210465504082693, 0.78168022782085234, 0.78125596087772897,
    0.78083185064491178, 0.78040789360102303, 0.77998408626908711,
    0.77956042521577862, 0.77913690705068817, 0.7787135284256046,
    0.77829028603381156, 0.77786717660939964, 0.77744419692659228,
    0.77702134379908816, 0.77659861407941433, 0.77617600465829684,
    0.77575351246404012, 0.77533113446192348, 0.77490886765360734,
    0.77448670907655337, 0.77406465580345574, 0.77364270494168419,
    0.77322085363273951, 0.77279909905171884, 0.77237743840679174,
    0.77195586893868895, 0.77153438792019946, 0.77111299265567768,
    0.77069168048056225, 0.77027044876090245, 0.76984929489289611,
    0.76942821630243408, 0.76900721044465625, 0.76858627480351538,
    0.76816540689134838, 0.76774460424845836, 0.76732386444270184,
    0.7669031850690875, 0.76648256374937906, 0.76606199813170872,
    0.76564148589019643, 0.76522102472457709, 0.76480061235983454,
    0.7643802465458428, 0.76395992505701393, 0.76353964569195321,
    0.76311940627311903, 0.76269920464649144, 0.76227903868124547,
    0.76185890626943098, 0.76143880532565844, 0.76101873378679019,
    0.76059868961163835, 0.76017867078066703, 0.75975867529570129,
    0.75933870117963997, 0.75891874647617541, 0.75849880924951718,
    0.75807888758412101, 0.75765897958442252, 0.75723908337457635,
    0.75681919709819878, 0.7563993189181174, 0.75597944701612152,
    0.75555957959272058, 0.75513971486690457, 0.75471985107591033,
    0.75429998647499041, 0.75388011933718646, 0.75346024795310829,
    0.75304037063071383, 0.75262048569509521, 0.75220059148826823,
    0.75178068636896433, 0.75136076871242707, 0.75094083691021263,
    0.75052088936999217, 0.75010092451535937, 0.74968094078563996,
    0.74926093663570481, 0.74884091053578683, 0.74842086097130023,
    0.74800078644266321, 0.74758068546512335, 0.74716055656858671,
    0.74674039829744832, 0.74632020921042774, 0.74589998788040468,
    0.74547973289425984, 0.7450594428527173, 0.74463911637018843,
    0.74421875207462096, 0.74379834860734861, 0.74337790462294306,
    0.74295741878907018, 0.74253688978634647, 0.74211631630819941,
    0.74169569706072946, 0.74127503076257417, 0.7408543161447747,
    0.74043355195064509, 0.74001273693564262, 0.73959186986724057,
    0.73917094952480378, 0.73874997469946535, 0.73832894419400574,
    0.73790785682273341, 0.73748671141136823, 0.73706550679692562,
    0.73664424182760369, 0.73622291536267115, 0.73580152627235795,
    0.73538007343774658, 0.73495855575066626, 0.73453697211358804,
    0.73411532143952163, 0.73369360265191441, 0.73327181468455138,
    0.73284995648145657, 0.7324280269967971, 0.73200602519478741,
    0.73158395004959609, 0.73116180054525304, 0.73073957567555925,
    0.7303172744439973, 0.72989489586364353, 0.72947243895708092,
    0.72904990275631443, 0.72862728630268703, 0.7282045886467966,
    0.72778180884841492, 0.72735894597640804, 0.72693599910865636,
    0.72651296733197801, 0.72608984974205182, 0.72566664544334192,
    0.72524335354902447, 0.72481997318091396, 0.72439650346939122,
    0.72397294355333308, 0.72354929258004264, 0.72312554970518039,
    0.7227017140926969, 0.72227778491476591, 0.72185376135171919,
    0.72142964259198161, 0.72100542783200794, 0.72058111627621968,
    0.72015670713694357, 0.71973219963435142, 0.71930759299639946,
    0.71888288645876963, 0.71845807926481142, 0.71803317066548522,
    0.71760815991930504, 0.71718304629228358, 0.71675782905787755,
    0.71633250749693345, 0.71590708089763466, 0.71548154855544888,
    0.71505590977307687, 0.71463016386040135, 0.7142043101344373,
    0.71377834791928196, 0.71335227654606692, 0.71292609535290963,
    0.71249980368486598, 0.71207340089388493, 0.71164688633876061,
    0.7112202593850887, 0.71079351940522117, 0.71036666577822172,
    0.70993969788982336, 0.70951261513238484, 0.7090854169048485,
    0.70865810261269901, 0.70823067166792142, 0.70780312348896135,
    0.70737545750068487, 0.70694767313433804, 0.70651976982750953,
    0.70609174702409028, 0.7056636041742369, 0.70523534073433303,
    0.70480695616695288, 0.70437844994082455, 0.70394982153079322,
    0.70352107041778589, 0.70309219608877516, 0.70266319803674571,
    0.70223407576065766, 0.70180482876541417, 0.70137545656182554,
    0.70094595866657727, 0.70051633460219609, 0.70008658389701672,
    0.69965670608514952, 0.69922670070644777, 0.69879656730647577,
    0.69836630543647693, 0.69793591465334159, 0.69750539451957594,
    0.69707474460327068, 0.69664396447806975, 0.69621305372313946,
    0.69578201192313738, 0.69535083866818215, 0.6949195335538223,
    0.69448809618100582, 0.69405652615604996, 0.69362482309061035,
    0.69319298660165107, 0.69276101631141362, 0.69232891184738643,
    0.69189667284227507, 0.69146429893397054, 0.69103178976551904,
    0.69059914498509123, 0.69016636424595068, 0.6897334472064226,
    0.68930039352986261, 0.68886720288462477, 0.68843387494402908,
    0.68800040938632967, 0.68756680589468133, 0.68713306415710607,
    0.68669918386646045, 0.68626516472039989, 0.68583100642134465,
    0.68539670867644387, 0.68496227119754005, 0.68452769370113153,
    0.68409297590833518, 0.68365811754484773, 0.68322311834090677,
    0.68278797803124969, 0.68235269635507301, 0.68191727305598926,
    0.68148170788198337, 0.68104600058536802, 0.68061015092273658,
    0.68017415865491559, 0.6797380235469157, 0.67930174536787946,
    0.67886532389102916, 0.67842875889361209, 0.67799205015684316,
    0.67755519746584569, 0.67711820060959071, 0.67668105938083234,
    0.67624377357604148, 0.6758063429953366, 0.67536876744241103,
    0.67493104672445736, 0.67449318065208874, 0.67405516903925577,
    0.67361701170316002, 0.67317870846416328, 0.67274025914569235,
    0.67230166357413879, 0.67186292157875427, 0.6714240329915393,
    0.67098499764712771, 0.67054581538266389, 0.6701064860376732,
    0.66966700945392588, 0.6692273854752937, 0.66878761394759667,
    0.66834769471844291, 0.66790762763705847, 0.66746741255410635,
    0.66702704932149548, 0.66658653779217814, 0.66614587781993351,
    0.66570506925913986, 0.66526411196452939, 0.66482300579093001,
    0.66438175059298821, 0.6639403462248743, 0.66349879253996824,
    0.66305708939052233, 0.66261523662730248, 0.66217323409920292,
    0.66173108165283334, 0.66128877913207673, 0.66084632637761387,
    0.66040372322641272, 0.659960969511179, 0.65951806505976318,
    0.65907500969452215, 0.65863180323162929, 0.65818844548032773,
    0.65774493624212338, 0.65730127530990734, 0.65685746246700583,
    0.65641349748614475, 0.65596938012832251, 0.65552511014158032,
    0.65508068725965785, 0.65463611120052201, 0.65419138166475177,
    0.65374649833376397, 0.65330146086785801, 0.65285626890405835,
    0.65241092205372619, 0.65196541989991175, 0.6515197619944072,
    0.65107394785446349, 0.65062797695911501, 0.65018184874505836,
    0.64973556260201226, 0.64928911786747501, 0.64884251382078206,
    0.64839574967633651, 0.64794882457587055, 0.64750173757955176,
    0.64705448765571294, 0.646607073668925, 0.64615949436606102,
    0.6457117483599073, 0.64526383410974886, 0.6448157498981858,
    0.64436749380320535, 0.64391906366420304, 0.64347045704018868,
    0.6430216711577329, 0.64257270284521451, 0.64212354844840913,
    0.64167420372006478, 0.64122466367223441, 0.64077492237355371,
    0.64032497266195876, 0.63987480572125133, 0.63942441042499654,
    0.63897377225063068, 0.63852287131006302, 0.63807167825235589,
    0.63762014345455609, 0.63716814159292035, 0.63716814159292035
  ), ppv = c(
    0.36283185840707965, 0.36283185840707965, 0.3638610940217899,
    0.36503318640513022, 0.36622917609588718, 0.36743156288626455,
    0.36863407942651477, 0.36983395907069327, 0.37102987525856468,
    0.37222118778267033, 0.37340761422168994, 0.37458906950848397,
    0.37576558114411096, 0.37693724173725374, 0.37810418128291784,
    0.37926655045634061, 0.38042451032066116, 0.38157822589826601,
    0.38272786213400795, 0.38387358137166228, 0.38501554180404268,
    0.3861538965574281, 0.38728879319255993, 0.38842037348013791,
    0.38954877335682397, 0.39067412299888049, 0.39179654697102889,
    0.39291616442174965, 0.39403308930544578, 0.3951474306181556,
    0.39625929263780185, 0.39736877516294128, 0.3984759737460416,
    0.39958097991875002, 0.40068388140761979, 0.40178476233945432,
    0.4028837034359119, 0.40398078219734124, 0.40507607307603694,
    0.4061696476392519, 0.40726157472239444, 0.40835192057288783,
    0.40944074898519756, 0.41052812142753942, 0.4116140971607764,
    0.41269873334999513, 0.41378208516923842, 0.41486420589984296,
    0.41594514702280921, 0.41702495830560604, 0.41810368788378327,
    0.41918138233774555, 0.42025808676501475, 0.42133384484828468,
    0.42240869891955213, 0.42348269002058614, 0.4245558579599818,
    0.42562824136702243, 0.42669987774256107, 0.42777080350711671,
    0.42884105404636491, 0.42991066375419085, 0.43097966607345983,
    0.43204809353464935, 0.43311597779247762, 0.43418334966065192,
    0.435250239144853, 0.43631667547406222, 0.43738268713033202,
    0.43844830187709388, 0.43951354678608745, 0.44057844826299397,
    0.44164303207184979, 0.44270732335830731, 0.44377134667181228,
    0.44483512598675551, 0.44589868472265831, 0.44696204576344573,
    0.44802523147585505, 0.44908826372702754, 0.45015116390132964,
    0.45121395291644079, 0.45227665123874905, 0.453339278898091,
    0.45440185550186718, 0.45546440024856877, 0.45652693194074229,
    0.45758946899742264, 0.45865202946605921, 0.45971463103396271,
    0.46077729103929371, 0.46184002648161565, 0.46290285403203468,
    0.4639657900429448, 0.4650288505573974, 0.46609205131811132,
    0.46715540777614412, 0.46821893509923479, 0.46928264817983756,
    0.47034656164285743, 0.47141068985310414, 0.47247504692247294,
    0.47353964671686843, 0.47460450286287992, 0.47566962875421992,
    0.47673503755793711, 0.47780074222041108, 0.47886675547313973,
    0.47993308983832855, 0.48099975763428821, 0.48206677098065009,
    0.48313414180340603, 0.48420188183977975, 0.48527000264293885,
    0.48633851558654884, 0.48740743186918162, 0.4884767625185783,
    0.48954651839577801, 0.49061671019911202, 0.49168734846807199,
    0.49275844358705778, 0.49383000578900565, 0.49490204515890601,
    0.49597457163721032, 0.49704759502313495, 0.49812112497786465,
    0.49919517102765776, 0.50026974256685919, 0.5013448488608222,
    0.50242049904874508, 0.50349670214642217, 0.50457346704891604,
    0.50565080253314987, 0.50672871726042723, 0.50780721977887622,
    0.50888631852582622, 0.50996602183011586, 0.51104633791433562,
    0.51212727489700793, 0.51320884079470519, 0.51429104352411026,
    0.51537389090401919, 0.51645739065728846, 0.51754155041273031,
    0.51862637770695452, 0.51971187998616242, 0.52079806460789058,
    0.52188493884271003, 0.52297250987587784, 0.52406078480894636,
    0.5251497706613304, 0.52623947437183116, 0.52732990280012315,
    0.52842106272819978, 0.52951296086178412, 0.53060560383170063,
    0.53169899819521416, 0.53279315043733277, 0.5338880669720798,
    0.53498375414373078, 0.53608021822802177, 0.53717746543332634,
    0.53827550190180296, 0.53937433371051435, 0.54047396687251914,
    0.54157440733793571, 0.54267566099498155, 0.5437777336709857,
    0.54488063113337704, 0.5459843590906488, 0.54708892319329971,
    0.54819432903475218, 0.54930058215224853, 0.55040768802772566,
    0.55151565208867015, 0.55262447970895079, 0.55373417620963261,
    0.55484474685977292, 0.55595619687719566, 0.55706853142925083,
    0.55818175563355366, 0.55929587455870833, 0.56041089322501347,
    0.56152681660515247, 0.56264364962486635, 0.56376139716361362,
    0.56488006405521274, 0.56599965508847006, 0.56712017500779466,
    0.56824162851379834, 0.56936402026388222, 0.57048735487280955,
    0.57161163691326589, 0.57273687091640713, 0.57386306137239484,
    0.57499021273091822, 0.57611832940170737, 0.5772474157550318,
    0.57837747612218993, 0.5795085147959872, 0.58064053603120269,
    0.58177354404504666, 0.58290754301760717, 0.58404253709228704,
    0.58517853037623069, 0.58631552694074196, 0.58745353082169383,
    0.58859254601992628, 0.58973257650163835, 0.59087362619876982,
    0.59201569900937578, 0.59315879879799083, 0.59430292939598861,
    0.59544809460193016, 0.59659429818190735, 0.59774154386987688,
    0.5988898353679879, 0.60003917634690229, 0.60118957044610921,
    0.60234102127423006, 0.60349353240931958, 0.60464710739915906,
    0.60580174976154333, 0.6069574629845621, 0.60811425052687429,
    0.60927211581797758, 0.61043106225847144, 0.61159109322031402,
    0.6127522120470752, 0.61391442205418245, 0.61507772652916193,
    0.61624212873187589, 0.61740763189475167, 0.61857423922300991,
    0.61974195389488484, 0.62091077906184067, 0.62208071784878471,
    0.62325177335427351, 0.62442394865071749, 0.62559724678457818,
    0.62677167077656437, 0.62794722362182187, 0.6291239082901201,
    0.63030172772603543, 0.63148068484912889, 0.63266078255412295,
    0.63384202371107168, 0.63502441116552921, 0.63620794773871503,
    0.63739263622767384, 0.63857847940543522, 0.63976548002116673,
    0.64095364080032668, 0.64214296444481289, 0.64333345363310723,
    0.64452511102042054, 0.64571793923883025, 0.64691194089741955,
    0.64810711858241232, 0.64930347485730366, 0.65050101226299217,
    0.65169973331790465, 0.65289964051812355, 0.65410073633750887,
    0.6553030232278183, 0.6565065036188269, 0.65771117991844363,
    0.65891705451282534, 0.66012412976649071, 0.6613324080224301,
    0.66254189160221599, 0.66375258280611082, 0.66496448391317153,
    0.66617759718135705, 0.66739192484762933, 0.66860746912805658,
    0.66982423221791354, 0.67104221629178151, 0.67226142350364615,
    0.67348185598699606, 0.67470351585491883, 0.67592640520019642,
    0.6771505260954005, 0.67837588059298726, 0.67960247072538982,
    0.68083029850511279, 0.68205936592482375, 0.68328967495744608,
    0.68452122755625144, 0.68575402565495136, 0.68698807116778859,
    0.68822336598962941, 0.68945991199605594, 0.69069771104345723,
    0.69193676496912271, 0.69317707559133346, 0.69441864470945747,
    0.69566147410404144, 0.69690556553690775, 0.69815092075124685,
    0.69939754147171529, 0.70064542940453334, 0.70189458623758194,
    0.70314501364050352, 0.70439671326480247, 0.70564968674394757,
    0.70690393569347665, 0.70815946171110145, 0.70941626637681732,
    0.71067435125300993, 0.71193371788457049, 0.71319436779900869,
    0.71445630250656822, 0.71571952350034762, 0.71698403225642271,
    0.7182498302339706, 0.7195169188753977, 0.72078529960647242,
    0.72205497383645922, 0.72332594295825647, 0.72459820834854127,
    0.72587177136791359, 0.72714663336104701, 0.72842279565684642,
    0.72970025956860496, 0.73097902639416912, 0.73225909741611084,
    0.73354047390190014, 0.7348231571040873, 0.73610714826049028,
    0.73739244859438569, 0.7386790593147099, 0.73996698161626429,
    0.74125621667992891, 0.74254676567288214, 0.74383862974882975,
    0.74513181004824069, 0.7464263076985912, 0.74772212381461833,
    0.74901925949858295, 0.75031771584053963, 0.75161749391862032,
    0.75291859479932588, 0.7542210195378275, 0.75552476917828215,
    0.75682984475415671, 0.75813624728856777, 0.75944397779463069,
    0.76075303727582222, 0.76206342672636185, 0.76337514713159871,
    0.76468819946842082, 0.76600258470567983, 0.76731830380462396,
    0.7686353577193602, 0.76995374739732148, 0.7712734737797643,
    0.77259453780227261, 0.77391694039529535, 0.77524068248469669,
    0.7765657649923251, 0.77789218883661448, 0.77921995493320173,
    0.78054906419557357, 0.78187951753573193, 0.7832113158648969,
    0.78454446009422663, 0.78587895113557582, 0.78721478990227634,
    0.78855197730995752, 0.78989051427739221, 0.79123040172738546,
    0.79257164058769269, 0.79391423179197451, 0.79525817628080409,
    0.79660347500269424, 0.79795012891519101, 0.79929813898599389,
    0.80064750619413194, 0.80199823153118921, 0.80335031600257734,
    0.80470376062886506, 0.80605856644716867, 0.8074147345125865,
    0.80877226589971607, 0.81013116170421851, 0.81149142304445698,
    0.81285305106320949, 0.81421604692945382, 0.81558041184022145,
    0.81694614702255319, 0.81831325373552011, 0.81968173327234473,
    0.82105158696261471, 0.82242281617459678, 0.82379542231765635,
    0.82516940684477436, 0.82654477125519887, 0.8279215170972013,
    0.82929964597096251, 0.83067915953160298, 0.83206005949233697,
    0.83344234762778824, 0.83482602577745291, 0.83621109584933229,
    0.83759755982373529, 0.8389854197572606, 0.84037467778697927,
    0.84176533613481253, 0.84315739711212712, 0.84455086312455163,
    0.84594573667704354, 0.84734202037919892, 0.84873971695082717,
    0.85013882922781958, 0.85153936016830445, 0.85294131285913166,
    0.85434469052268391, 0.85574949652404342, 0.85715573437854387,
    0.85856340775972106, 0.85997252050767803, 0.86138307663792557,
    0.86279508035067842, 0.86420853604067949, 0.86562344830756621,
    0.86703982196681584, 0.86845766206130259, 0.86987697387352969,
    0.8712977629385531, 0.87272003505766116, 0.87414379631286188,
    0.8755690530822231, 0.87699581205614152, 0.8784240802545954,
    0.87985386504544449, 0.88128517416388985, 0.88271801573312036,
    0.88415239828629721, 0.88558833078992849, 0.88702582266877239,
    0.88846488383237265, 0.88990552470335027, 0.89134775624761386,
    0.89279159000662212, 0.89423703813187094, 0.89568411342180188,
    0.89713282936132543, 0.89858320016418625, 0.90003524081841146,
    0.90148896713512605, 0.90294439580104291, 0.90440154443491738,
    0.9058604316484038, 0.90732107711166032, 0.90878350162419952,
    0.91024772719147717, 0.91171377710778856, 0.91318167604610501,
    0.91465145015555627, 0.91612312716737665, 0.91759673651018636,
    0.91907230943563145, 0.92054987915551478, 0.92202948099173121,
    0.92351115254046201, 0.92499493385225329, 0.92648086762999604,
    0.92796899944684497, 0.92945937798667344, 0.93095205530991121,
    0.93244708714804314, 0.93394453323065385, 0.93544445764946449,
    0.93694692926451772, 0.93845202215862189, 0.93995981614720103,
    0.94147039735190818, 0.94298385884802149, 0.94450030139746444,
    0.94601983428155634, 0.94754257625061977, 0.9490686566108919,
    0.9505982164737975, 0.95213141019805303, 0.95366840706210776,
    0.95520939321350784, 0.95675457395301988, 0.95830417642662213,
    0.9598584528176568, 0.96141768415765994, 0.96298218490878718,
    0.96455230851777751, 0.96612845420563942, 0.96771107534701128,
    0.9693006899195542, 0.97089789368602242, 0.97250337703855683,
    0.97411794683490527, 0.97574255516901431, 0.97737833798506024,
    0.97902666801295846, 0.98068922914301293, 0.98236812398492779,
    0.98406603486354471, 0.98578647507757799, 0.98753420188691543,
    0.9893159417746985, 0.99114178102291661, 0.99302818117414282,
    0.99500587125666473, 0.99714884401998516, NaN, NaN
  ), fdr = c(
    0.63716814159292035,
    0.63716814159292035, 0.6361389059782101, 0.63496681359486984,
    0.63377082390411277, 0.63256843711373545, 0.63136592057348517,
    0.63016604092930661, 0.62897012474143521, 0.62777881221732956,
    0.62659238577831, 0.62541093049151608, 0.62423441885588904, 0.62306275826274626,
    0.62189581871708211, 0.62073344954365928, 0.61957548967933873,
    0.61842177410173393, 0.61727213786599211, 0.61612641862833761,
    0.61498445819595726, 0.61384610344257196, 0.61271120680744018,
    0.61157962651986209, 0.61045122664317608, 0.60932587700111951,
    0.60820345302897105, 0.60708383557825041, 0.60596691069455411,
    0.6048525693818444, 0.6037407073621982, 0.60263122483705878,
    0.6015240262539584, 0.60041902008124992, 0.59931611859238021,
    0.59821523766054574, 0.59711629656408804, 0.59601921780265865,
    0.59492392692396301, 0.59383035236074821, 0.59273842527760567,
    0.59164807942711228, 0.59055925101480244, 0.58947187857246053,
    0.58838590283922365, 0.58730126665000482, 0.58621791483076158,
    0.58513579410015715, 0.58405485297719073, 0.58297504169439385,
    0.58189631211621673, 0.5808186176622544, 0.57974191323498525,
    0.57866615515171527, 0.57759130108044798, 0.57651730997941375,
    0.57544414204001815, 0.57437175863297751, 0.57330012225743898,
    0.57222919649288317, 0.57115894595363514, 0.57008933624580904,
    0.56902033392654028, 0.56795190646535065, 0.56688402220752243,
    0.56581665033934803, 0.56474976085514694, 0.56368332452593772,
    0.56261731286966787, 0.56155169812290606, 0.56048645321391266,
    0.55942155173700603, 0.55835696792815026, 0.55729267664169257,
    0.55622865332818761, 0.55516487401324455, 0.55410131527734174,
    0.55303795423655422, 0.55197476852414507, 0.55091173627297241,
    0.54984883609867041, 0.54878604708355916, 0.54772334876125095,
    0.546660721101909, 0.54559814449813293, 0.54453559975143129,
    0.54347306805925766, 0.54241053100257741, 0.54134797053394079,
    0.54028536896603729, 0.53922270896070623, 0.5381599735183844,
    0.53709714596796543, 0.5360342099570552, 0.5349711494426026,
    0.53390794868188862, 0.53284459222385583, 0.53178106490076527,
    0.53071735182016244, 0.52965343835714251, 0.5285893101468957,
    0.52752495307752711, 0.52646035328313145, 0.52539549713712019,
    0.52433037124578008, 0.52326496244206289, 0.52219925777958887,
    0.52113324452686038, 0.52006691016167139, 0.51900024236571174,
    0.51793322901934979, 0.51686585819659392, 0.51579811816022025,
    0.51472999735706115, 0.51366148441345116, 0.51259256813081855,
    0.51152323748142159, 0.51045348160422188, 0.50938328980088809,
    0.50831265153192795, 0.50724155641294233, 0.50616999421099429,
    0.50509795484109388, 0.50402542836278974, 0.502952404976865,
    0.50187887502213535, 0.50080482897234213, 0.49973025743314081,
    0.4986551511391778, 0.49757950095125492, 0.49650329785357783,
    0.49542653295108402, 0.49434919746685008, 0.49327128273957283,
    0.49219278022112378, 0.49111368147417367, 0.49003397816988414,
    0.48895366208566426, 0.48787272510299201, 0.48679115920529487,
    0.4857089564758898, 0.48462610909598081, 0.48354260934271148,
    0.48245844958726969, 0.48137362229304542, 0.48028812001383758,
    0.47920193539210942, 0.47811506115728991, 0.47702749012412227,
    0.4759392151910537, 0.47485022933866966, 0.47376052562816884,
    0.47267009719987685, 0.47157893727180028, 0.47048703913821582,
    0.46939439616829937, 0.4683010018047859, 0.46720684956266723,
    0.46611193302792031, 0.46501624585626922, 0.46391978177197829,
    0.46282253456667372, 0.4617244980981971, 0.46062566628948559,
    0.45952603312748086, 0.45842559266206417, 0.4573243390050184,
    0.45622226632901425, 0.45511936886662291, 0.4540156409093512,
    0.45291107680670023, 0.45180567096524782, 0.45069941784775153,
    0.44959231197227434, 0.44848434791132979, 0.44737552029104932,
    0.44626582379036728, 0.44515525314022719, 0.44404380312280439,
    0.44293146857074928, 0.4418182443664464, 0.44070412544129162,
    0.43958910677498642, 0.43847318339484759, 0.43735635037513365,
    0.43623860283638632, 0.43511993594478732, 0.43400034491152994,
    0.43287982499220529, 0.43175837148620166, 0.43063597973611772,
    0.42951264512719056, 0.42838836308673417, 0.42726312908359299,
    0.42613693862760521, 0.42500978726908178, 0.42388167059829257,
    0.42275258424496825, 0.42162252387781002, 0.4204914852040128,
    0.41935946396879731, 0.41822645595495339, 0.41709245698239278,
    0.41595746290771307, 0.41482146962376937, 0.41368447305925798,
    0.41254646917830617, 0.41140745398007378, 0.41026742349836171,
    0.40912637380123013, 0.40798430099062427, 0.40684120120200917,
    0.40569707060401139, 0.40455190539806984, 0.4034057018180926,
    0.40225845613012307, 0.4011101646320121, 0.39996082365309771,
    0.39881042955389073, 0.39765897872576983, 0.39650646759068031,
    0.39535289260084089, 0.39419825023845673, 0.3930425370154379,
    0.39188574947312571, 0.39072788418202242, 0.38956893774152851,
    0.38840890677968598, 0.3872477879529248, 0.3860855779458176,
    0.38492227347083796, 0.38375787126812422, 0.38259236810524844,
    0.3814257607769902, 0.38025804610511516, 0.37908922093815944,
    0.3779192821512154, 0.37674822664572638, 0.37557605134928257,
    0.37440275321542177, 0.37322832922343557, 0.37205277637817818,
    0.37087609170988001, 0.36969827227396462, 0.36851931515087105,
    0.367339217445877, 0.36615797628892832, 0.36497558883447068,
    0.36379205226128514, 0.36260736377232622, 0.36142152059456478,
    0.36023451997883338, 0.3590463591996732, 0.35785703555518728,
    0.35666654636689266, 0.35547488897957952, 0.3542820607611698,
    0.35308805910258051, 0.35189288141758773, 0.35069652514269634,
    0.34949898773700788, 0.34830026668209535, 0.34710035948187645,
    0.34589926366249113, 0.3446969767721817, 0.34349349638117316,
    0.34228882008155637, 0.3410829454871746, 0.33987587023350935,
    0.33866759197756985, 0.33745810839778406, 0.33624741719388923,
    0.33503551608682841, 0.33382240281864289, 0.33260807515237062,
    0.33139253087194337, 0.33017576778208652, 0.32895778370821854,
    0.32773857649635385, 0.32651814401300394, 0.32529648414508117,
    0.32407359479980352, 0.32284947390459956, 0.3216241194070128,
    0.32039752927461018, 0.31916970149488721, 0.3179406340751762,
    0.31671032504255392, 0.31547877244374856, 0.3142459743450487,
    0.31301192883221146, 0.31177663401037059, 0.31054008800394406,
    0.30930228895654277, 0.30806323503087729, 0.3068229244086666,
    0.30558135529054248, 0.30433852589595856, 0.30309443446309231,
    0.3018490792487532, 0.30060245852828471, 0.29935457059546666,
    0.29810541376241806, 0.29685498635949642, 0.29560328673519753,
    0.29435031325605249, 0.29309606430652341, 0.29184053828889861,
    0.29058373362318274, 0.28932564874699007, 0.28806628211542951,
    0.28680563220099131, 0.28554369749343178, 0.28428047649965238,
    0.28301596774357723, 0.28175016976602935, 0.28048308112460224,
    0.27921470039352747, 0.27794502616354089, 0.27667405704174347,
    0.27540179165145873, 0.27412822863208641, 0.27285336663895288,
    0.27157720434315363, 0.2702997404313951, 0.26902097360583099,
    0.26774090258388922, 0.26645952609809997, 0.26517684289591265,
    0.26389285173950977, 0.26260755140561443, 0.26132094068529016,
    0.26003301838373566, 0.25874378332007103, 0.25745323432711797,
    0.2561613702511702, 0.25486818995175925, 0.25357369230140875,
    0.25227787618538167, 0.25098074050141705, 0.24968228415946034,
    0.24838250608137966, 0.24708140520067409, 0.24577898046217261,
    0.24447523082171799, 0.24317015524584332, 0.24186375271143234,
    0.24055602220536937, 0.23924696272417773, 0.23793657327363826,
    0.23662485286840126, 0.23531180053157921, 0.23399741529432022,
    0.23268169619537604, 0.2313646422806398, 0.23004625260267847,
    0.22872652622023573, 0.22740546219772728, 0.22608305960470459,
    0.22475931751530331, 0.2234342350076749, 0.22210781116338552,
    0.22078004506679824, 0.21945093580442643, 0.2181204824642681,
    0.21678868413510316, 0.21545553990577335, 0.21412104886442415,
    0.21278521009772366, 0.21144802269004243, 0.21010948572260776,
    0.20876959827261454, 0.20742835941230733, 0.20608576820802546,
    0.20474182371919597, 0.20339652499730579, 0.20204987108480899,
    0.20070186101400608, 0.19935249380586806, 0.19800176846881079,
    0.19664968399742266, 0.19529623937113497, 0.19394143355283133,
    0.19258526548741348, 0.19122773410028396, 0.18986883829578149,
    0.18850857695554304, 0.18714694893679051, 0.18578395307054618,
    0.18441958815977849, 0.18305385297744681, 0.18168674626447984,
    0.18031826672765533, 0.17894841303738526, 0.17757718382540316,
    0.17620457768234368, 0.17483059315522564, 0.17345522874480115,
    0.1720784829027987, 0.17070035402903749, 0.16932084046839696,
    0.167939940507663, 0.16655765237221176, 0.16517397422254707,
    0.16378890415066769, 0.16240244017626468, 0.1610145802427394,
    0.15962532221302073, 0.15823466386518747, 0.15684260288787286,
    0.15544913687544837, 0.15405426332295649, 0.15265797962080105,
    0.15126028304917286, 0.14986117077218045, 0.14846063983169552,
    0.14705868714086837, 0.14565530947731611, 0.14425050347595672,
    0.14284426562145619, 0.14143659224027899, 0.140027479492322,
    0.13861692336207432, 0.13720491964932149, 0.13579146395932035,
    0.13437655169243382, 0.13296017803318419, 0.13154233793869741,
    0.13012302612647034, 0.12870223706144684, 0.1272799649423389,
    0.12585620368713812, 0.12443094691777684, 0.12300418794385845,
    0.12157591974540465, 0.12014613495455552, 0.11871482583611012,
    0.11728198426687966, 0.11584760171370283, 0.11441166921007155,
    0.11297417733122758, 0.1115351161676273, 0.11009447529664972,
    0.10865224375238609, 0.10720840999337786, 0.10576296186812911,
    0.10431588657819807, 0.10286717063867452, 0.1014167998358138,
    0.09996475918158855, 0.098511032864873962, 0.097055604198957091,
    0.095598455565082605, 0.094139568351596231, 0.092678922888339732,
    0.091216498375800523, 0.089752272808522784, 0.088286222892211413,
    0.086818323953895035, 0.085348549844443775, 0.083876872832623364,
    0.08240326348981368, 0.08092769056436859, 0.079450120844485161,
    0.077970519008268652, 0.076488847459538004, 0.075005066147746713,
    0.073519132370004001, 0.07203100055315502, 0.070540622013326545,
    0.069047944690088833, 0.067552912851956859, 0.066055466769346122,
    0.064555542350535525, 0.063053070735482261, 0.061547977841378096,
    0.060040183852798953, 0.058529602648091768, 0.057016141151978526,
    0.055499698602535591, 0.053980165718443704, 0.052457423749380172,
    0.050931343389108139, 0.049401783526202454, 0.047868589801946984,
    0.046331592937892269, 0.044790606786492194, 0.043245426046980118,
    0.041695823573377741, 0.04014154718234323, 0.038582315842340086,
    0.037017815091212783, 0.035447691482222494, 0.033871545794360594,
    0.032288924652988743, 0.030699310080445782, 0.029102106313977576,
    0.027496622961443219, 0.02588205316509477, 0.024257444830985679,
    0.022621662014939706, 0.020973331987041554, 0.019310770856987087,
    0.017631876015072236, 0.015933965136455269, 0.014213524922422003,
    0.012465798113084571, 0.010684058225301494, 0.0088582189770834065,
    0.0069718188258572266, 0.004994128743335248, 0.0028511559800148633,
    NaN, NaN
  ), fpr = c(
    1, 1, 0.99361233179527675, 0.98665863398122211,
    0.97965571136295226, 0.97267886154126681, 0.96575425620021205,
    0.95889277723404376, 0.95209905429246133, 0.94537477177256757,
    0.9387201082190324, 0.93213443658004369, 0.925616691974818, 0.9191655756133027,
    0.91277967228425694, 0.90645751980268585, 0.90019765064415536,
    0.89399861695492278, 0.88785900537765139, 0.88177744552227955,
    0.87575261442181107, 0.86978323843484262, 0.86386809352492755,
    0.85800600451723452, 0.85219584372445423, 0.84643652919973711,
    0.84072702278686373, 0.83506632807994163, 0.82945348836629962,
    0.82388758460025846, 0.81836773343790203, 0.81289308535105653,
    0.80746282283061921, 0.80207615868393733, 0.79673233442728719,
    0.7914306187721063, 0.78617030620208428, 0.78095071563727336,
    0.77577118918084365, 0.77063109094384674, 0.76552980594328146,
    0.7604667390688219, 0.75544131411371307, 0.75045297286552393,
    0.74550117425267937, 0.74058539354293207, 0.7357051215901762,
    0.73085986412624693, 0.7260491410945793, 0.72127248602282934,
    0.71652944543176855, 0.71181957827796016, 0.70714245542791221,
    0.70249765916157658, 0.69788478270321996, 0.69330342977784687,
    0.68875321419148261, 0.68423375943375664, 0.67974469830134654,
    0.67528567254093708, 0.67085633251046373, 0.66645633685748185,
    0.66208535221360965, 0.65774305290404533, 0.65342912067124792,
    0.6491432444119245, 0.64488511992653774, 0.64065444968058971,
    0.63645094257699997, 0.63227431373893683, 0.62812428430250744,
    0.62400058121874924, 0.6199029370644038, 0.615831089860988, 0.61178478290171268,
    0.60776376458581971, 0.60376778825994526, 0.59979661206613355,
    0.5958499987961563, 0.5919277157518118, 0.58802953461089125,
    0.58415523129853075, 0.58030458586367706, 0.57647738236040946,
    0.57267340873388473, 0.56889245671067146, 0.56513432169327116,
    0.56139880265861897, 0.55768570206037993, 0.55399482573485892,
    0.55032598281036016, 0.54667898561983774, 0.54305364961668312,
    0.53944979329351139, 0.53586723810381254, 0.53230580838634034,
    0.52876533129211545, 0.52524563671393465, 0.52174655721827312,
    0.5182679279794824, 0.51480958671618193, 0.51137137362975416,
    0.50795313134485742, 0.50455470485187215, 0.50117594145119893,
    0.49781669069933709, 0.49447680435666996, 0.49115613633689115,
    0.48785454265800199, 0.48457188139482521, 0.48130801263296974,
    0.47806279842419608, 0.47483610274312482, 0.4716277914452367,
    0.46843773222612106, 0.46526579458192019, 0.46211184977092801,
    0.4589757707762997, 0.45585743226983277, 0.45275671057678091,
    0.44967348364166138, 0.44660763099502254, 0.44355903372113659,
    0.4405275744265873, 0.43751313720971718, 0.43451560763090769,
    0.43153487268366264, 0.42857082076646935, 0.42562334165540805,
    0.42269232647748467, 0.41977766768466773, 0.4168792590285989,
    0.41399699553596114, 0.41113077348447735, 0.4082804903795253,
    0.40544604493134362, 0.40262733703281284, 0.39982426773779078,
    0.3970367392399895, 0.39426465485237072, 0.39150791898704784,
    0.38876643713567682, 0.38604011585032305, 0.38332886272478583,
    0.38063258637637187, 0.37795119642809849, 0.37528460349131865,
    0.37263271914875151, 0.36999545593790961, 0.36737272733490811,
    0.36476444773864647, 0.36217053245535324, 0.35959089768347952,
    0.3570254604989348, 0.35447413884065282, 0.35193685149648157,
    0.34941351808938326, 0.34690405906394006, 0.34440839567315418,
    0.34192644996553689, 0.33945814477247582, 0.33700340369587323,
    0.33456215109605125, 0.33213431207991184, 0.32971981248934867,
    0.32731857888990157, 0.32493053855964904, 0.32255561947833078,
    0.32019375031669683, 0.31784486042607274, 0.31550887982814024,
    0.31318573920492609, 0.31087536988899078, 0.30857770385381722,
    0.30629267370438917, 0.30402021266795987, 0.30176025458500055,
    0.29951273390032884, 0.29727758565440965, 0.29505474547482657,
    0.29284414956791727, 0.29064573471057098, 0.28845943824218223,
    0.28628519805675934, 0.28412295259518117, 0.28197264083760043,
    0.27983420229598976, 0.27770757700682769, 0.27559270552391912,
    0.27348952891134948, 0.27139798873656784, 0.26931802706359798,
    0.26724958644637142, 0.26519260992218241, 0.2631470410052601,
    0.26111282368045763, 0.25908990239705199, 0.25707822206265518,
    0.25507772803723294, 0.25308836612722874, 0.25111008257979084,
    0.24914282407709942, 0.24718653773079247, 0.24524117107648868,
    0.24330667206840362, 0.24138298907405809, 0.23947007086907635,
    0.23756786663207419, 0.23567632593963073, 0.23379539876134681,
    0.23192503545498433, 0.23006518676168874, 0.2282158038012877,
    0.22637683806766973, 0.22454824142423746, 0.22272996609943585,
    0.22092196468235326, 0.2191241901183929, 0.21733659570501418,
    0.21555913508754443, 0.21379176225505503, 0.2120344315363043,
    0.21028709759574493, 0.20854971542959377, 0.2068222403619645,
    0.20510462804105911, 0.20339683443542, 0.20169881583024041, 0.20001052882373016,
    0.19833193032353968, 0.19666297754323669, 0.19500362799883764,
    0.19335383950539242, 0.1917135701736189, 0.19008277840658971,
    0.18846142289646906, 0.18684946262129598, 0.18524685684181852,
    0.18365356509837205, 0.18206954720780588, 0.18049476326045344,
    0.17892917361714766, 0.17737273890627947, 0.17582542002089918,
    0.17428717811586059, 0.17275797460500375, 0.17123777115838135,
    0.16972652969952262, 0.16822421240273677, 0.16673078169045452,
    0.16524620023060765, 0.1637704309340452, 0.16230343695198512,
    0.16084518167350292, 0.15939562872305368, 0.15795474195802994,
    0.15652248546635228, 0.15509882356409299, 0.15368372079313253,
    0.15227714191884889, 0.15087905192783591, 0.1494894160256558,
    0.14810819963461863, 0.14673536839159429, 0.14537088814585231,
    0.14401472495693113, 0.1426668450925348, 0.14132721502645895,
    0.139995801436543, 0.13867257120264942, 0.13735749140467024,
    0.13605052932055806, 0.13475165242438492, 0.13346082838442352,
    0.13217802506125564, 0.13090321050590359, 0.12963635295798581,
    0.12837742084389647, 0.12712638277500754, 0.12588320754589444,
    0.12464786413258289, 0.12342032169081962, 0.1222005495543631,
    0.12098851723329629, 0.11978419441236099, 0.1185875509493115,
    0.11739855687329026, 0.11621718238322232, 0.11504339784622963,
    0.11387717379606555, 0.112718480931568, 0.11156729011513078,
    0.1104235723711946, 0.10928729888475563, 0.10815844099989202,
    0.10703697021830827, 0.10592285819789704, 0.1048160767513181,
    0.10371659784459375, 0.10262439359572162, 0.10153943627330364,
    0.10046169829519003, 0.099391152227141122, 0.098327770781503565,
    0.097271526815901899, 0.096222393331946043, 0.095180343473953211,
    0.094145350527684912, 0.093117387919098071, 0.092096429213111008,
    0.091082448112383418, 0.090075418456109446, 0.089075314218826196,
    0.088082109509233897, 0.087095778569030502, 0.08611629577175961,
    0.085143635621670266, 0.084177772752590641, 0.083218681926813587,
    0.082266338033995301, 0.081320716090065304, 0.080381791236149414,
    0.079449538737504044, 0.078523933982462824, 0.077604952481393874,
    0.076692569865669635, 0.075786761886647236, 0.074887504414660411,
    0.073994773438021855, 0.0731085450620369, 0.072228795508028298,
    0.071355501112370323, 0.070488638325534314, 0.06962818371114432,
    0.068774113945042847, 0.067926405814366264, 0.067085036216630978,
    0.066249982158828269, 0.065421220756529896, 0.064598729233002472,
    0.063782484918331717, 0.062972465248555598, 0.062168647764807128,
    0.061371010112466151, 0.060579530040319685, 0.059794185399731914,
    0.059014954143822185, 0.058241814326652208, 0.057474744102422037,
    0.056713721724673261, 0.055958725545502852, 0.055209734014782907,
    0.05446672567939026, 0.053729679182443757, 0.052998573262549309,
    0.052273386753053375, 0.051554098581303998, 0.050840687767920167,
    0.050133133426068177, 0.049431414760746084, 0.048735511068076276,
    0.048045401734604698, 0.047361066236608074, 0.046682484139408675,
    0.046009635096695978, 0.045342498849855972, 0.044681055227308142,
    0.044025284143848542, 0.04337516560000132, 0.042730679681376338,
    0.042091806558034794, 0.041458526483860725, 0.040830819795940942,
    0.040208666913950974, 0.039592048339547881, 0.038980944655771177,
    0.038375336526448645, 0.037775204695611242, 0.037180529986913458,
    0.036591293303060879, 0.036007475625244645, 0.035429058012583114,
    0.034856021601569531, 0.03428834760552768, 0.033726017314072987,
    0.033169012092582051, 0.032617313381668289, 0.032070902696663794,
    0.031529761627109743, 0.030993871836252795, 0.030463215060548277,
    0.029937773109171006, 0.029417527863533577, 0.02890246127681062,
    0.028392555373471628, 0.027887792248819876, 0.027388154068540227,
    0.026893623068252936, 0.026404181553075889, 0.025919811897194611,
    0.025440496543439495, 0.024966218002871798, 0.024496958854376638,
    0.024032701744265528, 0.023573429385886135, 0.023119124559241477,
    0.022669770110616994, 0.022225348952217616, 0.021785844061813053,
    0.021351238482393065, 0.020921515321832174, 0.020496657752564262,
    0.020076649011267378, 0.019661472398559199, 0.01925111127870327,
    0.018845549079326118, 0.018444769291146468, 0.018048755467716004,
    0.017657491225172572, 0.017270960242006805, 0.016889146258841192,
    0.016512033078223687, 0.016139604564435639, 0.015771844643314825,
    0.015408737302094133, 0.015050266589256789, 0.014696416614408347,
    0.01434717154816767, 0.014002515622075773, 0.013662433128524887,
    0.013326908420708383, 0.012995925912592354, 0.012669470078910616,
    0.012347525455183805, 0.012030076637763787, 0.011717108283905819,
    0.011408605111868475, 0.011104551901045201, 0.010804933492126412,
    0.010509734787297109, 0.010218940750469696, 0.0099325364075560918,
    0.0096505068467803712, 0.0093728372190353682, 0.0090995127382856866,
    0.0088305186820206716, 0.0085658403917608927, 0.0083054632736212497,
    0.0080493727989351394, 0.0077975545049447925, 0.0075499939955616657,
    0.0073066769422024391, 0.007067589084707171, 0.0068327162323448265,
    0.0066020442649143973, 0.0063755591339487161, 0.0061532468640287385,
    0.0059350935542190619, 0.0057210853796344496, 0.0055112085931477983,
    0.0053054495272534252, 0.0051037945960992204, 0.0049062302977026517,
    0.004712743216369053, 0.0045233200253305128, 0.0043379474896263481,
    0.0041566124692518081, 0.0039793019225985438, 0.003806002910220263,
    0.0036367025989560986, 0.00347138826645077, 0.0033100473061160596,
    0.0031526672325824512, 0.0029992356876986648, 0.0028497404471428123,
    0.0027041694277207817, 0.0025625106954361154, 0.0024247524744304139,
    0.0022908831569090626, 0.0021608913141828445, 0.0020347657089828664,
    0.0019124953092277686, 0.0017940693034581567, 0.0016794771181898316,
    0.0015687084374860216, 0.0014617532251079979, 0.0013586017496737268,
    0.0012592446133479207, 0.0011636727846963124, 0.0010718776364857519,
    0.00098385098938913451, 0.00089958516279720069, 0.00081907303424411104,
    0.00074230810936160019, 0.00066928460482063024, 0.00059999754745132527,
    0.00053444289374426912, 0.00047261767533801624, 0.00041452017810073016,
    0.00036015016531099064, 0.00030950915974725657, 0.00026260080605100544,
    0.00021943134502644401, 0.00018001024827585255, 0.00014435108992993939,
    0.00011247278268677885, 8.4401400657463377e-05, 6.0173005401287227e-05,
    3.9838325844421263e-05, 2.3471250799711463e-05, 1.1186508223293146e-05,
    3.1863350966609971e-06, 0, 0
  ), tpr = c(
    1, 1, 0.99804305283757333,
    0.99608610567514666, 0.9941291585127201, 0.99217221135029354,
    0.99021526418786687, 0.9882583170254402, 0.98630136986301364,
    0.98434442270058709, 0.98238747553816042, 0.98043052837573375,
    0.97847358121330719, 0.97651663405088063, 0.97455968688845396,
    0.97260273972602729, 0.97064579256360073, 0.96868884540117417,
    0.9667318982387475, 0.96477495107632083, 0.96281800391389427,
    0.96086105675146771, 0.95890410958904104, 0.95694716242661437,
    0.95499021526418781, 0.95303326810176126, 0.95107632093933459,
    0.94911937377690792, 0.94716242661448136, 0.9452054794520548,
    0.94324853228962813, 0.94129158512720146, 0.9393346379647749,
    0.93737769080234834, 0.93542074363992167, 0.93346379647749489,
    0.93150684931506844, 0.92954990215264188, 0.92759295499021521,
    0.92563600782778854, 0.92367906066536198, 0.92172211350293543,
    0.91976516634050876, 0.91780821917808209, 0.91585127201565553,
    0.91389432485322897, 0.9119373776908023, 0.90998043052837563,
    0.90802348336594907, 0.90606653620352251, 0.90410958904109584,
    0.90215264187866917, 0.90019569471624261, 0.89823874755381605,
    0.89628180039138938, 0.89432485322896271, 0.89236790606653615,
    0.8904109589041096, 0.88845401174168304, 0.88649706457925626,
    0.8845401174168297, 0.88258317025440314, 0.88062622309197647,
    0.8786692759295498, 0.87671232876712324, 0.87475538160469657,
    0.8727984344422699, 0.87084148727984334, 0.86888454011741678,
    0.86692759295499022, 0.86497064579256355, 0.86301369863013688,
    0.86105675146771044, 0.85909980430528377, 0.8571428571428571,
    0.85518590998043043, 0.85322896281800387, 0.85127201565557742,
    0.84931506849315064, 0.84735812133072397, 0.84540117416829741,
    0.84344422700587085, 0.84148727984344429, 0.83953033268101751,
    0.83757338551859095, 0.83561643835616439, 0.83365949119373772,
    0.83170254403131105, 0.82974559686888449, 0.82778864970645794,
    0.82583170254403138, 0.8238747553816046, 0.82191780821917804,
    0.81996086105675148, 0.81800391389432481, 0.81604696673189814,
    0.81409001956947158, 0.81213307240704502, 0.81017612524461835,
    0.80821917808219157, 0.80626223091976512, 0.80430528375733856,
    0.802348336594912, 0.80039138943248522, 0.79843444227005878,
    0.79647749510763211, 0.79452054794520544, 0.79256360078277877,
    0.79060665362035221, 0.78864970645792565, 0.78669275929549909,
    0.78473581213307231, 0.78277886497064575, 0.78082191780821919,
    0.77886497064579252, 0.77690802348336585, 0.77495107632093929,
    0.77299412915851273, 0.77103718199608617, 0.76908023483365939,
    0.76712328767123283, 0.76516634050880639, 0.76320939334637972,
    0.76125244618395294, 0.75929549902152638, 0.75733855185909993,
    0.75538160469667315, 0.75342465753424648, 0.75146771037181992,
    0.74951076320939336, 0.74755381604696669, 0.74559686888454002,
    0.74363992172211346, 0.7416829745596869, 0.73972602739726023,
    0.73776908023483356, 0.73581213307240712, 0.73385518590998045,
    0.73189823874755378, 0.72994129158512711, 0.72798434442270055,
    0.72602739726027399, 0.72407045009784743, 0.72211350293542065,
    0.72015655577299409, 0.71819960861056753, 0.71624266144814086,
    0.71428571428571419, 0.71232876712328763, 0.71037181996086107,
    0.7084148727984344, 0.70645792563600773, 0.70450097847358117,
    0.70254403131115462, 0.70058708414872795, 0.69863013698630128,
    0.69667318982387472, 0.69471624266144816, 0.69275929549902149,
    0.69080234833659482, 0.68884540117416826, 0.6868884540117417,
    0.68493150684931503, 0.68297455968688836, 0.6810176125244618,
    0.67906066536203524, 0.67710371819960857, 0.6751467710371819,
    0.67318982387475523, 0.67123287671232879, 0.669275929549902,
    0.66731898238747545, 0.66536203522504889, 0.66340508806262233,
    0.66144814090019555, 0.65949119373776899, 0.65753424657534243,
    0.65557729941291587, 0.6536203522504892, 0.65166340508806253,
    0.64970645792563597, 0.64774951076320941, 0.64579256360078274,
    0.64383561643835607, 0.64187866927592951, 0.63992172211350296,
    0.63796477495107629, 0.63600782778864962, 0.63405088062622306,
    0.6320939334637965, 0.63013698630136983, 0.62818003913894316,
    0.6262230919765166, 0.62426614481409004, 0.62230919765166337,
    0.6203522504892367, 0.61839530332681014, 0.61643835616438358,
    0.61448140900195691, 0.61252446183953024, 0.61056751467710368,
    0.60861056751467713, 0.60665362035225046, 0.60469667318982379,
    0.60273972602739723, 0.60078277886497067, 0.598825831702544,
    0.59686888454011733, 0.59491193737769077, 0.59295499021526421,
    0.59099804305283754, 0.58904109589041087, 0.58708414872798431,
    0.58512720156555775, 0.58317025440313108, 0.58121330724070441,
    0.57925636007827785, 0.5772994129158513, 0.57534246575342463,
    0.57338551859099796, 0.5714285714285714, 0.56947162426614484,
    0.56751467710371817, 0.5655577299412915, 0.56360078277886494,
    0.56164383561643838, 0.55968688845401171, 0.55772994129158504,
    0.55577299412915848, 0.55381604696673192, 0.55185909980430525,
    0.54990215264187858, 0.54794520547945202, 0.54598825831702547,
    0.5440313111545988, 0.54207436399217213, 0.54011741682974557,
    0.53816046966731901, 0.53620352250489234, 0.53424657534246567,
    0.53228962818003911, 0.53033268101761255, 0.52837573385518588,
    0.52641878669275921, 0.52446183953033265, 0.52250489236790609,
    0.52054794520547942, 0.51859099804305275, 0.51663405088062619,
    0.51467710371819964, 0.51272015655577297, 0.5107632093933463,
    0.50880626223091974, 0.50684931506849318, 0.50489236790606651,
    0.50293542074363984, 0.50097847358121328, 0.49902152641878667,
    0.49706457925636005, 0.49510763209393344, 0.49315068493150682,
    0.49119373776908021, 0.48923679060665359, 0.48727984344422698,
    0.48532289628180036, 0.48336594911937375, 0.48140900195694714,
    0.47945205479452052, 0.47749510763209391, 0.47553816046966729,
    0.47358121330724068, 0.47162426614481406, 0.46966731898238745,
    0.46771037181996084, 0.46575342465753422, 0.46379647749510761,
    0.46183953033268099, 0.45988258317025438, 0.45792563600782776,
    0.45596868884540115, 0.45401174168297453, 0.45205479452054792,
    0.45009784735812131, 0.44814090019569469, 0.44618395303326808,
    0.44422700587084146, 0.44227005870841485, 0.44031311154598823,
    0.43835616438356162, 0.43639921722113501, 0.43444227005870839,
    0.43248532289628178, 0.43052837573385516, 0.42857142857142855,
    0.42661448140900193, 0.42465753424657537, 0.4227005870841487,
    0.42074363992172209, 0.41878669275929548, 0.41682974559686886,
    0.41487279843444225, 0.41291585127201569, 0.41095890410958907,
    0.4090019569471624, 0.40704500978473579, 0.40508806262230923,
    0.40313111545988256, 0.40117416829745595, 0.39921722113502939,
    0.39726027397260272, 0.39530332681017616, 0.39334637964774949,
    0.39138943248532287, 0.38943248532289626, 0.38747553816046965,
    0.38551859099804303, 0.38356164383561642, 0.38160469667318986,
    0.37964774951076319, 0.37769080234833657, 0.37573385518590996,
    0.3737769080234834, 0.37181996086105673, 0.36986301369863012,
    0.3679060665362035, 0.36594911937377694, 0.36399217221135027,
    0.36203522504892366, 0.36007827788649704, 0.35812133072407043,
    0.35616438356164382, 0.3542074363992172, 0.35225048923679059,
    0.35029354207436392, 0.34833659491193741, 0.3463796477495108,
    0.34442270058708419, 0.34246575342465752, 0.34050880626223096,
    0.33855185909980429, 0.33659491193737767, 0.33463796477495111,
    0.33268101761252444, 0.33072407045009783, 0.32876712328767127,
    0.3268101761252446, 0.32485322896281799, 0.32289628180039132,
    0.32093933463796476, 0.31898238747553814, 0.31702544031311153,
    0.31506849315068497, 0.31311154598825836, 0.31115459882583163,
    0.30919765166340507, 0.30724070450097851, 0.30528375733855184,
    0.30332681017612523, 0.30136986301369861, 0.299412915851272,
    0.29745596868884538, 0.29549902152641883, 0.29354207436399216,
    0.2915851272015656, 0.28962818003913887, 0.28767123287671237,
    0.2857142857142857, 0.28375733855185903, 0.28180039138943253,
    0.27984344422700586, 0.27788649706457924, 0.27592954990215257,
    0.27397260273972601, 0.27201565557729945, 0.27005870841487278,
    0.26810176125244617, 0.26614481409001955, 0.264187866927593,
    0.26223091976516638, 0.26027397260273977, 0.2583170254403131,
    0.25636007827788648, 0.25440313111545987, 0.25244618395303331,
    0.2504892367906067, 0.24853228962818005, 0.24657534246575341,
    0.2446183953033268, 0.2426614481409001, 0.24070450097847362,
    0.23874755381604693, 0.23679060665362034, 0.23483365949119361,
    0.23287671232876717, 0.23091976516634047, 0.22896281800391383,
    0.22700587084148729, 0.22504892367906071, 0.22309197651663407,
    0.2211350293542074, 0.21917808219178078, 0.2172211350293542,
    0.21526418786692758, 0.21330724070450094, 0.21135029354207435,
    0.20939334637964774, 0.20743639921722107, 0.20547945205479451,
    0.20352250489236787, 0.20156555772994122, 0.19960861056751467,
    0.19765166340508805, 0.19569471624266147, 0.19373776908023482,
    0.19178082191780826, 0.18982387475538162, 0.18786692759295498,
    0.18590998043052842, 0.18395303326810175, 0.18199608610567519,
    0.18003913894324852, 0.17808219178082194, 0.17612524461839529,
    0.17416829745596865, 0.17221135029354201, 0.17025440313111548,
    0.16829745596868884, 0.16634050880626222, 0.16438356164383566,
    0.16242661448140899, 0.16046966731898241, 0.15851272015655576,
    0.15655577299412918, 0.15459882583170251, 0.15264187866927589,
    0.15068493150684936, 0.14872798434442261, 0.14677103718199611,
    0.14481409001956941, 0.14285714285714282, 0.14090019569471618,
    0.13894324853228959, 0.13698630136986298, 0.13502935420743636,
    0.13307240704500972, 0.13111545988258316, 0.12915851272015663,
    0.12720156555772999, 0.1252446183953034, 0.12328767123287671,
    0.12133072407045009, 0.11937377690802352, 0.11741682974559686,
    0.11545988258317025, 0.11350293542074361, 0.11154598825831699,
    0.10958904109589039, 0.1076320939334638, 0.1056751467710372,
    0.10371819960861053, 0.10176125244618392, 0.099804305283757389,
    0.097847358121330733, 0.09589041095890416, 0.093933463796477504,
    0.091976516634050862, 0.090019569471624289, 0.088062622309197675,
    0.086105675146771019, 0.084148727984344446, 0.082191780821917845,
    0.080234833659491259, 0.078277886497064589, 0.076320939334637947,
    0.074363992172211374, 0.072407045009784773, 0.070450097847358159,
    0.068493150684931517, 0.066536203522504889, 0.064579256360078302,
    0.062622309197651688, 0.060665362035225066, 0.058708414872798501,
    0.056751467710371865, 0.054794520547945209, 0.052837573385518657,
    0.050880626223092015, 0.048923679060665401, 0.046966731898238773,
    0.045009784735812165, 0.043052837573385544, 0.041095890410958923,
    0.039138943248532329, 0.03718199608610568, 0.035225048923679107,
    0.033268101761252479, 0.031311154598825837, 0.029354207436399233,
    0.027397260273972615, 0.02544031311154599, 0.023483365949119386,
    0.021526418786692772, 0.019569471624266147, 0.017612524461839554,
    0.015655577299412939, 0.013698630136986308, 0.011741682974559685,
    0.0097847358121330927, 0.0078277886497064766, 0.0058708414872798544,
    0.0039138943248532305, 0.0019569471624266178, 0, 0
  ), tnr = c(
    0,
    0, 0.0063876682047232314, 0.013341366018777919, 0.020344288637047729,
    0.02732113845873314, 0.034245743799787939, 0.041107222765956193,
    0.047900945707538618, 0.054625228227432425, 0.061279891780967564,
    0.067865563419956337, 0.074383308025182004, 0.080834424386697287,
    0.087220327715743048, 0.093542480197314093, 0.099802349355844602,
    0.10600138304507721, 0.11214099462234858, 0.11822255447772048,
    0.12424738557818887, 0.13021676156515741, 0.13613190647507245,
    0.14199399548276545, 0.1478041562755458, 0.15356347080026292,
    0.1592729772131363, 0.16493367192005839, 0.17054651163370038,
    0.17611241539974154, 0.18163226656209791, 0.1871069146489435,
    0.19253717716938082, 0.19792384131606267, 0.20326766557271275,
    0.20856938122789367, 0.21382969379791569, 0.21904928436272667,
    0.22422881081915638, 0.2293689090561532, 0.23447019405671857,
    0.23953326093117808, 0.24455868588628693, 0.24954702713447605,
    0.25449882574732063, 0.25941460645706799, 0.2642948784098238,
    0.26914013587375307, 0.2739508589054207, 0.27872751397717066,
    0.2834705545682315, 0.28818042172203989, 0.29285754457208779,
    0.29750234083842347, 0.30211521729678009, 0.30669657022215319,
    0.31124678580851739, 0.31576624056624336, 0.32025530169865346,
    0.32471432745906287, 0.32914366748953627, 0.3335436631425181,
    0.33791464778639035, 0.34225694709595467, 0.34657087932875213,
    0.3508567555880755, 0.35511488007346226, 0.35934555031941029,
    0.36354905742299998, 0.36772568626106317, 0.37187571569749256,
    0.37599941878125076, 0.3800970629355962, 0.38416891013901194,
    0.38821521709828732, 0.39223623541418029, 0.39623221174005474,
    0.40020338793386645, 0.40415000120384365, 0.4080722842481882,
    0.41197046538910875, 0.4158447687014693, 0.41969541413632294,
    0.42352261763959054, 0.42732659126611522, 0.43110754328932849,
    0.4348656783067289, 0.43860119734138098, 0.44231429793962007,
    0.44600517426514108, 0.44967401718963984, 0.45332101438016231,
    0.45694635038331693, 0.46055020670648866, 0.46413276189618752,
    0.46769419161365966, 0.47123466870788455, 0.47475436328606541,
    0.47825344278172693, 0.48173207202051754, 0.48519041328381807,
    0.48862862637024584, 0.49204686865514258, 0.49544529514812791,
    0.49882405854880113, 0.50218330930066291, 0.50552319564333004,
    0.50884386366310885, 0.51214545734199801, 0.51542811860517479,
    0.51869198736703026, 0.52193720157580392, 0.52516389725687518,
    0.5283722085547633, 0.53156226777387894, 0.53473420541807981,
    0.53788815022907199, 0.5410242292237003, 0.54414256773016723,
    0.54724328942321909, 0.55032651635833862, 0.55339236900497746,
    0.55644096627886341, 0.5594724255734127, 0.56248686279028282,
    0.56548439236909231, 0.56846512731633736, 0.57142917923353065,
    0.57437665834459195, 0.57730767352251533, 0.58022233231533227,
    0.5831207409714011, 0.58600300446403886, 0.58886922651552265,
    0.5917195096204747, 0.59455395506865638, 0.59737266296718716,
    0.60017573226220922, 0.6029632607600105, 0.60573534514762928,
    0.60849208101295216, 0.61123356286432318, 0.61395988414967695,
    0.61667113727521417, 0.61936741362362813, 0.62204880357190151,
    0.62471539650868135, 0.62736728085124849, 0.63000454406209039,
    0.63262727266509189, 0.63523555226135353, 0.63782946754464676,
    0.64040910231652048, 0.6429745395010652, 0.64552586115934718,
    0.64806314850351843, 0.65058648191061674, 0.65309594093605994,
    0.65559160432684582, 0.65807355003446311, 0.66054185522752418,
    0.66299659630412677, 0.66543784890394875, 0.66786568792008816,
    0.67028018751065133, 0.67268142111009843, 0.67506946144035096,
    0.67744438052166922, 0.67980624968330317, 0.68215513957392726,
    0.68449112017185976, 0.68681426079507391, 0.68912463011100922,
    0.69142229614618278, 0.69370732629561083, 0.69597978733204013,
    0.69823974541499945, 0.70048726609967116, 0.70272241434559035,
    0.70494525452517343, 0.70715585043208273, 0.70935426528942902,
    0.71154056175781777, 0.71371480194324066, 0.71587704740481883,
    0.71802735916239957, 0.72016579770401024, 0.72229242299317231,
    0.72440729447608088, 0.72651047108865052, 0.72860201126343216,
    0.73068197293640202, 0.73275041355362858, 0.73480739007781759,
    0.7368529589947399, 0.73888717631954237, 0.74091009760294801,
    0.74292177793734482, 0.74492227196276706, 0.74691163387277126,
    0.74888991742020916, 0.75085717592290058, 0.75281346226920753,
    0.75475882892351132, 0.75669332793159638, 0.75861701092594191,
    0.76052992913092365, 0.76243213336792581, 0.76432367406036927,
    0.76620460123865319, 0.76807496454501567, 0.76993481323831126,
    0.7717841961987123, 0.77362316193233027, 0.77545175857576254,
    0.77727003390056415, 0.77907803531764674, 0.7808758098816071,
    0.78266340429498582, 0.78444086491245557, 0.78620823774494497,
    0.7879655684636957, 0.78971290240425507, 0.79145028457040623,
    0.7931777596380355, 0.79489537195894089, 0.79660316556458, 0.79830118416975959,
    0.79998947117626984, 0.80166806967646032, 0.80333702245676331,
    0.80499637200116236, 0.80664616049460758, 0.8082864298263811,
    0.80991722159341029, 0.81153857710353094, 0.81315053737870402,
    0.81475314315818148, 0.81634643490162795, 0.81793045279219412,
    0.81950523673954656, 0.82107082638285234, 0.82262726109372053,
    0.82417457997910082, 0.82571282188413941, 0.82724202539499625,
    0.82876222884161865, 0.83027347030047738, 0.83177578759726323,
    0.83326921830954548, 0.83475379976939235, 0.8362295690659548,
    0.83769656304801488, 0.83915481832649708, 0.84060437127694632,
    0.84204525804197006, 0.84347751453364772, 0.84490117643590701,
    0.84631627920686747, 0.84772285808115111, 0.84912094807216409,
    0.8505105839743442, 0.85189180036538137, 0.85326463160840571,
    0.85462911185414769, 0.85598527504306887, 0.8573331549074652,
    0.85867278497354105, 0.860004198563457, 0.86132742879735058,
    0.86264250859532976, 0.86394947067944194, 0.86524834757561508,
    0.86653917161557648, 0.86782197493874436, 0.86909678949409641,
    0.87036364704201419, 0.87162257915610353, 0.87287361722499246,
    0.87411679245410556, 0.87535213586741711, 0.87657967830918038,
    0.8777994504456369, 0.87901148276670371, 0.88021580558763901,
    0.8814124490506885, 0.88260144312670974, 0.88378281761677768,
    0.88495660215377037, 0.88612282620393445, 0.887281519068432,
    0.88843270988486922, 0.8895764276288054, 0.89071270111524437,
    0.89184155900010798, 0.89296302978169173, 0.89407714180210296,
    0.8951839232486819, 0.89628340215540625, 0.89737560640427838,
    0.89846056372669636, 0.89953830170480997, 0.90060884777285888,
    0.90167222921849643, 0.9027284731840981, 0.90377760666805396,
    0.90481965652604679, 0.90585464947231509, 0.90688261208090193,
    0.90790357078688899, 0.90891755188761658, 0.90992458154389055,
    0.9109246857811738, 0.9119178904907661, 0.9129042214309695, 0.91388370422824039,
    0.91485636437832973, 0.91582222724740936, 0.91678131807318641,
    0.9177336619660047, 0.9186792839099347, 0.91961820876385059,
    0.92055046126249596, 0.92147606601753718, 0.92239504751860613,
    0.92330743013433036, 0.92421323811335276, 0.92511249558533959,
    0.92600522656197815, 0.9268914549379631, 0.9277712044919717,
    0.92864449888762968, 0.92951136167446569, 0.93037181628885568,
    0.93122588605495715, 0.93207359418563374, 0.93291496378336902,
    0.93375001784117173, 0.9345787792434701, 0.93540127076699753,
    0.93621751508166828, 0.9370275347514444, 0.93783135223519287,
    0.93862898988753385, 0.93942046995968032, 0.94020581460026809,
    0.94098504585617782, 0.94175818567334779, 0.94252525589757796,
    0.94328627827532674, 0.94404127445449715, 0.94479026598521709,
    0.94553327432060974, 0.94627032081755624, 0.94700142673745069,
    0.94772661324694663, 0.948445901418696, 0.94915931223207983,
    0.94986686657393182, 0.95056858523925392, 0.95126448893192372,
    0.9519545982653953, 0.95263893376339193, 0.95331751586059132,
    0.95399036490330402, 0.95465750115014403, 0.95531894477269186,
    0.95597471585615146, 0.95662483439999868, 0.95726932031862366,
    0.95790819344196521, 0.95854147351613928, 0.95916918020405906,
    0.95979133308604903, 0.96040795166045212, 0.96101905534422882,
    0.96162466347355136, 0.96222479530438876, 0.96281947001308654,
    0.96340870669693912, 0.96399252437475536, 0.96457094198741689,
    0.96514397839843047, 0.96571165239447232, 0.96627398268592701,
    0.96683098790741795, 0.96738268661833171, 0.96792909730333621,
    0.96847023837289026, 0.9690061281637472, 0.96953678493945172,
    0.97006222689082899, 0.97058247213646642, 0.97109753872318938,
    0.97160744462652837, 0.97211220775118012, 0.97261184593145977,
    0.97310637693174706, 0.97359581844692411, 0.97408018810280539,
    0.97455950345656051, 0.9750337819971282, 0.97550304114562336,
    0.97596729825573447, 0.97642657061411386, 0.97688087544075852,
    0.97733022988938301, 0.97777465104778238, 0.97821415593818695,
    0.97864876151760694, 0.97907848467816783, 0.97950334224743574,
    0.97992335098873262, 0.9803385276014408, 0.98074888872129673,
    0.98115445092067388, 0.98155523070885353, 0.981951244532284,
    0.98234250877482743, 0.98272903975799319, 0.98311085374115881,
    0.98348796692177631, 0.98386039543556436, 0.98422815535668517,
    0.98459126269790587, 0.98494973341074321, 0.98530358338559165,
    0.98565282845183233, 0.98599748437792423, 0.98633756687147511,
    0.98667309157929162, 0.98700407408740765, 0.98733052992108938,
    0.98765247454481619, 0.98796992336223621, 0.98828289171609418,
    0.98859139488813152, 0.9888954480989548, 0.98919506650787359,
    0.98949026521270289, 0.9897810592495303, 0.99006746359244391,
    0.99034949315321963, 0.99062716278096463, 0.99090048726171431,
    0.99116948131797933, 0.99143415960823911, 0.99169453672637875,
    0.99195062720106486, 0.99220244549505521, 0.99245000600443833,
    0.99269332305779756, 0.99293241091529283, 0.99316728376765517,
    0.9933979557350856, 0.99362444086605128, 0.99384675313597126,
    0.99406490644578094, 0.99427891462036555, 0.9944887914068522,
    0.99469455047274657, 0.99489620540390078, 0.99509376970229735,
    0.99528725678363095, 0.99547667997466949, 0.99566205251037365,
    0.99584338753074819, 0.99602069807740146, 0.99619399708977974,
    0.9963632974010439, 0.99652861173354923, 0.99668995269388394,
    0.99684733276741755, 0.99700076431230134, 0.99715025955285719,
    0.99729583057227922, 0.99743748930456388, 0.99757524752556959,
    0.99770911684309094, 0.99783910868581716, 0.99796523429101713,
    0.99808750469077223, 0.99820593069654184, 0.99832052288181017,
    0.99843129156251398, 0.998538246774892, 0.99864139825032627,
    0.99874075538665208, 0.99883632721530369, 0.99892812236351425,
    0.99901614901061087, 0.9991004148372028, 0.99918092696575589,
    0.9992576918906384, 0.99933071539517937, 0.99940000245254867,
    0.99946555710625573, 0.99952738232466198, 0.99958547982189927,
    0.99963984983468901, 0.99969049084025274, 0.99973739919394899,
    0.99978056865497356, 0.99981998975172415, 0.99985564891007006,
    0.99988752721731322, 0.99991559859934254, 0.99993982699459871,
    0.99996016167415558, 0.99997652874920029, 0.99998881349177671,
    0.99999681366490334, 1, 1
  ), fnr = c(
    0, 0, 0.0019569471624267323,
    0.0039138943248532912, 0.0058708414872798501, 0.0078277886497064089,
    0.0097847358121331413, 0.011741682974559874, 0.013698630136986432,
    0.015655577299412991, 0.01761252446183955, 0.019569471624266283,
    0.021526418786692841, 0.0234833659491194, 0.025440313111545959,
    0.027397260273972691, 0.02935420743639925, 0.031311154598825809,
    0.033268101761252541, 0.0352250489236791, 0.037181996086105659,
    0.039138943248532218, 0.04109589041095895, 0.043052837573385683,
    0.045009784735812242, 0.0469667318982388, 0.048923679060665359,
    0.050880626223092092, 0.052837573385518651, 0.054794520547945209,
    0.056751467710371942, 0.058708414872798501, 0.060665362035225059,
    0.062622309197651618, 0.064579256360078344, 0.066536203522505083,
    0.068493150684931642, 0.070450097847358201, 0.07240704500978476,
    0.074363992172211485, 0.076320939334638044, 0.078277886497064603,
    0.080234833659491162, 0.082191780821917901, 0.08414872798434446,
    0.086105675146771019, 0.088062622309197744, 0.090019569471624303,
    0.091976516634050862, 0.093933463796477421, 0.09589041095890416,
    0.097847358121330885, 0.099804305283757444, 0.101761252446184,
    0.10371819960861056, 0.1056751467710373, 0.10763209393346386,
    0.10958904109589042, 0.11154598825831698, 0.1135029354207437,
    0.11545988258317026, 0.11741682974559682, 0.11937377690802356,
    0.12133072407045012, 0.12328767123287668, 0.1252446183953034,
    0.12720156555773013, 0.12915851272015669, 0.13111545988258325,
    0.13307240704500981, 0.13502935420743636, 0.13698630136986312,
    0.13894324853228948, 0.14090019569471623, 0.14285714285714296,
    0.14481409001956952, 0.14677103718199608, 0.14872798434442264,
    0.15068493150684936, 0.15264187866927609, 0.15459882583170265,
    0.15655577299412921, 0.15851272015655576, 0.16046966731898252,
    0.16242661448140908, 0.16438356164383564, 0.16634050880626236,
    0.16829745596868892, 0.17025440313111548, 0.17221135029354204,
    0.1741682974559686, 0.17612524461839532, 0.17808219178082188,
    0.18003913894324844, 0.18199608610567516, 0.18395303326810192,
    0.18590998043052848, 0.18786692759295504, 0.18982387475538159,
    0.19178082191780849, 0.19373776908023488, 0.19569471624266144,
    0.197651663405088, 0.19960861056751472, 0.20156555772994128,
    0.20352250489236784, 0.20547945205479456, 0.20743639921722132,
    0.20939334637964788, 0.21135029354207444, 0.21330724070450099,
    0.21526418786692772, 0.21722113502935428, 0.21917808219178084,
    0.22113502935420748, 0.22309197651663412, 0.22504892367906068,
    0.22700587084148724, 0.2289628180039138, 0.23091976516634061,
    0.23287671232876717, 0.23483365949119364, 0.23679060665362028,
    0.23874755381604704, 0.2407045009784736, 0.24266144814090007,
    0.24461839530332688, 0.24657534246575352, 0.24853228962818008,
    0.25048923679060664, 0.25244618395303331, 0.25440313111546003,
    0.25636007827788659, 0.25831702544031315, 0.26027397260273977,
    0.26223091976516644, 0.26418786692759288, 0.26614481409001955,
    0.26810176125244617, 0.27005870841487289, 0.27201565557729945,
    0.27397260273972601, 0.27592954990215257, 0.27788649706457935,
    0.27984344422700591, 0.28180039138943247, 0.2837573385518592,
    0.28571428571428581, 0.28767123287671237, 0.28962818003913893,
    0.2915851272015656, 0.29354207436399221, 0.29549902152641877,
    0.29745596868884533, 0.29941291585127211, 0.30136986301369872,
    0.30332681017612528, 0.30528375733855184, 0.30724070450097851,
    0.30919765166340513, 0.31115459882583169, 0.31311154598825824,
    0.31506849315068497, 0.31702544031311164, 0.3189823874755382,
    0.32093933463796476, 0.32289628180039137, 0.32485322896281815,
    0.32681017612524477, 0.32876712328767127, 0.330724070450098,
    0.33268101761252455, 0.33463796477495111, 0.33659491193737767,
    0.33855185909980445, 0.34050880626223101, 0.34246575342465757,
    0.34442270058708413, 0.3463796477495108, 0.34833659491193747,
    0.35029354207436403, 0.35225048923679059, 0.35420743639921731,
    0.35616438356164393, 0.35812133072407049, 0.36007827788649704,
    0.36203522504892371, 0.36399217221135033, 0.36594911937377689,
    0.36790606653620345, 0.36986301369863017, 0.37181996086105684,
    0.3737769080234834, 0.37573385518590996, 0.37769080234833663,
    0.37964774951076335, 0.38160469667318991, 0.38356164383561647,
    0.38551859099804309, 0.38747553816046976, 0.38943248532289632,
    0.39138943248532287, 0.39334637964774949, 0.39530332681017621,
    0.39726027397260277, 0.39921722113502933, 0.401174168297456,
    0.40313111545988267, 0.40508806262230923, 0.40704500978473579,
    0.40900195694716251, 0.41095890410958913, 0.41291585127201569,
    0.41487279843444225, 0.41682974559686892, 0.41878669275929553,
    0.42074363992172209, 0.42270058708414865, 0.42465753424657543,
    0.42661448140900204, 0.4285714285714286, 0.43052837573385516,
    0.43248532289628183, 0.43444227005870856, 0.43639921722113512,
    0.43835616438356168, 0.44031311154598829, 0.44227005870841496,
    0.44422700587084152, 0.44618395303326808, 0.44814090019569469,
    0.45009784735812147, 0.45205479452054803, 0.45401174168297459,
    0.4559686888454012, 0.45792563600782787, 0.45988258317025443,
    0.46183953033268099, 0.46379647749510761, 0.46575342465753433,
    0.46771037181996089, 0.46966731898238745, 0.47162426614481412,
    0.47358121330724079, 0.47553816046966735, 0.47749510763209391,
    0.47945205479452063, 0.48140900195694725, 0.48336594911937381,
    0.48532289628180036, 0.48727984344422703, 0.48923679060665365,
    0.49119373776908021, 0.49315068493150677, 0.49510763209393349,
    0.49706457925636016, 0.49902152641878672, 0.50097847358121339,
    0.50293542074363995, 0.50489236790606662, 0.50684931506849318,
    0.50880626223091974, 0.51076320939334641, 0.51272015655577297,
    0.51467710371819964, 0.51663405088062631, 0.51859099804305286,
    0.52054794520547942, 0.52250489236790609, 0.52446183953033265,
    0.52641878669275932, 0.52837573385518599, 0.53033268101761255,
    0.53228962818003922, 0.53424657534246578, 0.53620352250489234,
    0.53816046966731901, 0.54011741682974557, 0.54207436399217224,
    0.54403131115459891, 0.54598825831702547, 0.54794520547945202,
    0.54990215264187869, 0.55185909980430525, 0.55381604696673192,
    0.55577299412915859, 0.55772994129158515, 0.55968688845401182,
    0.56164383561643838, 0.56360078277886494, 0.56555772994129161,
    0.56751467710371817, 0.56947162426614484, 0.57142857142857151,
    0.57338551859099807, 0.57534246575342463, 0.5772994129158513,
    0.57925636007827785, 0.58121330724070452, 0.58317025440313119,
    0.58512720156555775, 0.58708414872798431, 0.58904109589041098,
    0.59099804305283754, 0.59295499021526421, 0.59491193737769077,
    0.59686888454011744, 0.59882583170254411, 0.60078277886497067,
    0.60273972602739734, 0.6046966731898239, 0.60665362035225046,
    0.60861056751467713, 0.61056751467710368, 0.61252446183953035,
    0.61448140900195702, 0.61643835616438358, 0.61839530332681014,
    0.62035225048923681, 0.62230919765166337, 0.62426614481409004,
    0.6262230919765166, 0.62818003913894327, 0.63013698630136994,
    0.6320939334637965, 0.63405088062622306, 0.63600782778864973,
    0.6379647749510764, 0.63992172211350296, 0.64187866927592963,
    0.64383561643835618, 0.64579256360078274, 0.6477495107632093,
    0.64970645792563608, 0.65166340508806264, 0.6536203522504892,
    0.65557729941291576, 0.65753424657534254, 0.6594911937377691,
    0.66144814090019566, 0.66340508806262233, 0.66536203522504889,
    0.66731898238747556, 0.66927592954990223, 0.67123287671232879,
    0.67318982387475534, 0.67514677103718201, 0.67710371819960868,
    0.67906066536203524, 0.68101761252446191, 0.68297455968688847,
    0.68493150684931503, 0.6868884540117417, 0.68884540117416837,
    0.69080234833659493, 0.69275929549902149, 0.69471624266144816,
    0.69667318982387472, 0.6986301369863015, 0.70058708414872806,
    0.70254403131115462, 0.70450097847358117, 0.70645792563600784,
    0.7084148727984344, 0.71037181996086118, 0.71232876712328763,
    0.7142857142857143, 0.71624266144814097, 0.71819960861056742,
    0.72015655577299409, 0.72211350293542076, 0.72407045009784743,
    0.72602739726027399, 0.72798434442270055, 0.72994129158512722,
    0.73189823874755378, 0.73385518590998045, 0.735812133072407,
    0.73776908023483367, 0.73972602739726023, 0.7416829745596869,
    0.74363992172211346, 0.74559686888454002, 0.74755381604696658,
    0.74951076320939336, 0.75146771037181992, 0.7534246575342467,
    0.75538160469667326, 0.75733855185909993, 0.75929549902152638,
    0.76125244618395305, 0.76320939334637961, 0.76516634050880639,
    0.76712328767123283, 0.7690802348336595, 0.77103718199608617,
    0.77299412915851273, 0.77495107632093929, 0.77690802348336585,
    0.77886497064579263, 0.78082191780821919, 0.78277886497064575,
    0.78473581213307242, 0.78669275929549898, 0.78864970645792576,
    0.79060665362035232, 0.79256360078277888, 0.79452054794520544,
    0.79647749510763211, 0.79843444227005866, 0.80039138943248522,
    0.802348336594912, 0.80430528375733856, 0.80626223091976512,
    0.80821917808219168, 0.81017612524461846, 0.81213307240704502,
    0.81409001956947158, 0.81604696673189825, 0.81800391389432481,
    0.81996086105675137, 0.82191780821917815, 0.82387475538160471,
    0.82583170254403138, 0.82778864970645794, 0.82974559686888449,
    0.83170254403131105, 0.83365949119373783, 0.83561643835616439,
    0.83757338551859095, 0.83953033268101762, 0.84148727984344418,
    0.84344422700587074, 0.84540117416829752, 0.84735812133072408,
    0.84931506849315064, 0.85127201565557742, 0.85322896281800398,
    0.85518590998043065, 0.85714285714285721, 0.85909980430528377,
    0.86105675146771032, 0.8630136986301371, 0.86497064579256366,
    0.86692759295499022, 0.86888454011741678, 0.87084148727984334,
    0.87279843444227001, 0.87475538160469657, 0.87671232876712335,
    0.87866927592954991, 0.88062622309197647, 0.88258317025440314,
    0.8845401174168297, 0.88649706457925648, 0.88845401174168304,
    0.8904109589041096, 0.89236790606653615, 0.89432485322896271,
    0.89628180039138938, 0.89823874755381616, 0.9001956947162425,
    0.90215264187866928, 0.90410958904109584, 0.90606653620352262,
    0.90802348336594918, 0.90998043052837574, 0.9119373776908023,
    0.91389432485322897, 0.91585127201565553, 0.91780821917808209,
    0.91976516634050864, 0.92172211350293543, 0.92367906066536209,
    0.92563600782778865, 0.92759295499021521, 0.92954990215264177,
    0.93150684931506855, 0.93346379647749511, 0.93542074363992167,
    0.93737769080234834, 0.9393346379647749, 0.94129158512720146,
    0.94324853228962802, 0.9452054794520548, 0.94716242661448136,
    0.94911937377690792, 0.9510763209393347, 0.95303326810176126,
    0.95499021526418781, 0.95694716242661448, 0.95890410958904104,
    0.9608610567514676, 0.96281800391389438, 0.96477495107632094,
    0.9667318982387475, 0.96868884540117417, 0.97064579256360073,
    0.97260273972602729, 0.97455968688845407, 0.97651663405088063,
    0.97847358121330719, 0.98043052837573386, 0.98238747553816042,
    0.98434442270058697, 0.98630136986301375, 0.98825831702544031,
    0.99021526418786687, 0.99217221135029354, 0.9941291585127201,
    0.99608610567514666, 0.99804305283757344, 1, 1
  ), `1-specificity` = c(
    1,
    1, 0.99361233179527675, 0.98665863398122211, 0.97965571136295226,
    0.97267886154126681, 0.96575425620021205, 0.95889277723404376,
    0.95209905429246133, 0.94537477177256757, 0.9387201082190324,
    0.93213443658004369, 0.925616691974818, 0.9191655756133027, 0.91277967228425694,
    0.90645751980268585, 0.90019765064415536, 0.89399861695492278,
    0.88785900537765139, 0.88177744552227955, 0.87575261442181107,
    0.86978323843484262, 0.86386809352492755, 0.85800600451723452,
    0.85219584372445423, 0.84643652919973711, 0.84072702278686373,
    0.83506632807994163, 0.82945348836629962, 0.82388758460025846,
    0.81836773343790203, 0.81289308535105653, 0.80746282283061921,
    0.80207615868393733, 0.79673233442728719, 0.7914306187721063,
    0.78617030620208428, 0.78095071563727336, 0.77577118918084365,
    0.77063109094384674, 0.76552980594328146, 0.7604667390688219,
    0.75544131411371307, 0.75045297286552393, 0.74550117425267937,
    0.74058539354293207, 0.7357051215901762, 0.73085986412624693,
    0.7260491410945793, 0.72127248602282934, 0.71652944543176855,
    0.71181957827796016, 0.70714245542791221, 0.70249765916157658,
    0.69788478270321996, 0.69330342977784687, 0.68875321419148261,
    0.68423375943375664, 0.67974469830134654, 0.67528567254093708,
    0.67085633251046373, 0.66645633685748185, 0.66208535221360965,
    0.65774305290404533, 0.65342912067124792, 0.6491432444119245,
    0.64488511992653774, 0.64065444968058971, 0.63645094257699997,
    0.63227431373893683, 0.62812428430250744, 0.62400058121874924,
    0.6199029370644038, 0.615831089860988, 0.61178478290171268, 0.60776376458581971,
    0.60376778825994526, 0.59979661206613355, 0.5958499987961563,
    0.5919277157518118, 0.58802953461089125, 0.58415523129853075,
    0.58030458586367706, 0.57647738236040946, 0.57267340873388473,
    0.56889245671067146, 0.56513432169327116, 0.56139880265861897,
    0.55768570206037993, 0.55399482573485892, 0.55032598281036016,
    0.54667898561983774, 0.54305364961668312, 0.53944979329351139,
    0.53586723810381254, 0.53230580838634034, 0.52876533129211545,
    0.52524563671393465, 0.52174655721827312, 0.5182679279794824,
    0.51480958671618193, 0.51137137362975416, 0.50795313134485742,
    0.50455470485187215, 0.50117594145119893, 0.49781669069933709,
    0.49447680435666996, 0.49115613633689115, 0.48785454265800199,
    0.48457188139482521, 0.48130801263296974, 0.47806279842419608,
    0.47483610274312482, 0.4716277914452367, 0.46843773222612106,
    0.46526579458192019, 0.46211184977092801, 0.4589757707762997,
    0.45585743226983277, 0.45275671057678091, 0.44967348364166138,
    0.44660763099502254, 0.44355903372113659, 0.4405275744265873,
    0.43751313720971718, 0.43451560763090769, 0.43153487268366264,
    0.42857082076646935, 0.42562334165540805, 0.42269232647748467,
    0.41977766768466773, 0.4168792590285989, 0.41399699553596114,
    0.41113077348447735, 0.4082804903795253, 0.40544604493134362,
    0.40262733703281284, 0.39982426773779078, 0.3970367392399895,
    0.39426465485237072, 0.39150791898704784, 0.38876643713567682,
    0.38604011585032305, 0.38332886272478583, 0.38063258637637187,
    0.37795119642809849, 0.37528460349131865, 0.37263271914875151,
    0.36999545593790961, 0.36737272733490811, 0.36476444773864647,
    0.36217053245535324, 0.35959089768347952, 0.3570254604989348,
    0.35447413884065282, 0.35193685149648157, 0.34941351808938326,
    0.34690405906394006, 0.34440839567315418, 0.34192644996553689,
    0.33945814477247582, 0.33700340369587323, 0.33456215109605125,
    0.33213431207991184, 0.32971981248934867, 0.32731857888990157,
    0.32493053855964904, 0.32255561947833078, 0.32019375031669683,
    0.31784486042607274, 0.31550887982814024, 0.31318573920492609,
    0.31087536988899078, 0.30857770385381722, 0.30629267370438917,
    0.30402021266795987, 0.30176025458500055, 0.29951273390032884,
    0.29727758565440965, 0.29505474547482657, 0.29284414956791727,
    0.29064573471057098, 0.28845943824218223, 0.28628519805675934,
    0.28412295259518117, 0.28197264083760043, 0.27983420229598976,
    0.27770757700682769, 0.27559270552391912, 0.27348952891134948,
    0.27139798873656784, 0.26931802706359798, 0.26724958644637142,
    0.26519260992218241, 0.2631470410052601, 0.26111282368045763,
    0.25908990239705199, 0.25707822206265518, 0.25507772803723294,
    0.25308836612722874, 0.25111008257979084, 0.24914282407709942,
    0.24718653773079247, 0.24524117107648868, 0.24330667206840362,
    0.24138298907405809, 0.23947007086907635, 0.23756786663207419,
    0.23567632593963073, 0.23379539876134681, 0.23192503545498433,
    0.23006518676168874, 0.2282158038012877, 0.22637683806766973,
    0.22454824142423746, 0.22272996609943585, 0.22092196468235326,
    0.2191241901183929, 0.21733659570501418, 0.21555913508754443,
    0.21379176225505503, 0.2120344315363043, 0.21028709759574493,
    0.20854971542959377, 0.2068222403619645, 0.20510462804105911,
    0.20339683443542, 0.20169881583024041, 0.20001052882373016, 0.19833193032353968,
    0.19666297754323669, 0.19500362799883764, 0.19335383950539242,
    0.1917135701736189, 0.19008277840658971, 0.18846142289646906,
    0.18684946262129598, 0.18524685684181852, 0.18365356509837205,
    0.18206954720780588, 0.18049476326045344, 0.17892917361714766,
    0.17737273890627947, 0.17582542002089918, 0.17428717811586059,
    0.17275797460500375, 0.17123777115838135, 0.16972652969952262,
    0.16822421240273677, 0.16673078169045452, 0.16524620023060765,
    0.1637704309340452, 0.16230343695198512, 0.16084518167350292,
    0.15939562872305368, 0.15795474195802994, 0.15652248546635228,
    0.15509882356409299, 0.15368372079313253, 0.15227714191884889,
    0.15087905192783591, 0.1494894160256558, 0.14810819963461863,
    0.14673536839159429, 0.14537088814585231, 0.14401472495693113,
    0.1426668450925348, 0.14132721502645895, 0.139995801436543, 0.13867257120264942,
    0.13735749140467024, 0.13605052932055806, 0.13475165242438492,
    0.13346082838442352, 0.13217802506125564, 0.13090321050590359,
    0.12963635295798581, 0.12837742084389647, 0.12712638277500754,
    0.12588320754589444, 0.12464786413258289, 0.12342032169081962,
    0.1222005495543631, 0.12098851723329629, 0.11978419441236099,
    0.1185875509493115, 0.11739855687329026, 0.11621718238322232,
    0.11504339784622963, 0.11387717379606555, 0.112718480931568,
    0.11156729011513078, 0.1104235723711946, 0.10928729888475563,
    0.10815844099989202, 0.10703697021830827, 0.10592285819789704,
    0.1048160767513181, 0.10371659784459375, 0.10262439359572162,
    0.10153943627330364, 0.10046169829519003, 0.099391152227141122,
    0.098327770781503565, 0.097271526815901899, 0.096222393331946043,
    0.095180343473953211, 0.094145350527684912, 0.093117387919098071,
    0.092096429213111008, 0.091082448112383418, 0.090075418456109446,
    0.089075314218826196, 0.088082109509233897, 0.087095778569030502,
    0.08611629577175961, 0.085143635621670266, 0.084177772752590641,
    0.083218681926813587, 0.082266338033995301, 0.081320716090065304,
    0.080381791236149414, 0.079449538737504044, 0.078523933982462824,
    0.077604952481393874, 0.076692569865669635, 0.075786761886647236,
    0.074887504414660411, 0.073994773438021855, 0.0731085450620369,
    0.072228795508028298, 0.071355501112370323, 0.070488638325534314,
    0.06962818371114432, 0.068774113945042847, 0.067926405814366264,
    0.067085036216630978, 0.066249982158828269, 0.065421220756529896,
    0.064598729233002472, 0.063782484918331717, 0.062972465248555598,
    0.062168647764807128, 0.061371010112466151, 0.060579530040319685,
    0.059794185399731914, 0.059014954143822185, 0.058241814326652208,
    0.057474744102422037, 0.056713721724673261, 0.055958725545502852,
    0.055209734014782907, 0.05446672567939026, 0.053729679182443757,
    0.052998573262549309, 0.052273386753053375, 0.051554098581303998,
    0.050840687767920167, 0.050133133426068177, 0.049431414760746084,
    0.048735511068076276, 0.048045401734604698, 0.047361066236608074,
    0.046682484139408675, 0.046009635096695978, 0.045342498849855972,
    0.044681055227308142, 0.044025284143848542, 0.04337516560000132,
    0.042730679681376338, 0.042091806558034794, 0.041458526483860725,
    0.040830819795940942, 0.040208666913950974, 0.039592048339547881,
    0.038980944655771177, 0.038375336526448645, 0.037775204695611242,
    0.037180529986913458, 0.036591293303060879, 0.036007475625244645,
    0.035429058012583114, 0.034856021601569531, 0.03428834760552768,
    0.033726017314072987, 0.033169012092582051, 0.032617313381668289,
    0.032070902696663794, 0.031529761627109743, 0.030993871836252795,
    0.030463215060548277, 0.029937773109171006, 0.029417527863533577,
    0.02890246127681062, 0.028392555373471628, 0.027887792248819876,
    0.027388154068540227, 0.026893623068252936, 0.026404181553075889,
    0.025919811897194611, 0.025440496543439495, 0.024966218002871798,
    0.024496958854376638, 0.024032701744265528, 0.023573429385886135,
    0.023119124559241477, 0.022669770110616994, 0.022225348952217616,
    0.021785844061813053, 0.021351238482393065, 0.020921515321832174,
    0.020496657752564262, 0.020076649011267378, 0.019661472398559199,
    0.01925111127870327, 0.018845549079326118, 0.018444769291146468,
    0.018048755467716004, 0.017657491225172572, 0.017270960242006805,
    0.016889146258841192, 0.016512033078223687, 0.016139604564435639,
    0.015771844643314825, 0.015408737302094133, 0.015050266589256789,
    0.014696416614408347, 0.01434717154816767, 0.014002515622075773,
    0.013662433128524887, 0.013326908420708383, 0.012995925912592354,
    0.012669470078910616, 0.012347525455183805, 0.012030076637763787,
    0.011717108283905819, 0.011408605111868475, 0.011104551901045201,
    0.010804933492126412, 0.010509734787297109, 0.010218940750469696,
    0.0099325364075560918, 0.0096505068467803712, 0.0093728372190353682,
    0.0090995127382856866, 0.0088305186820206716, 0.0085658403917608927,
    0.0083054632736212497, 0.0080493727989351394, 0.0077975545049447925,
    0.0075499939955616657, 0.0073066769422024391, 0.007067589084707171,
    0.0068327162323448265, 0.0066020442649143973, 0.0063755591339487161,
    0.0061532468640287385, 0.0059350935542190619, 0.0057210853796344496,
    0.0055112085931477983, 0.0053054495272534252, 0.0051037945960992204,
    0.0049062302977026517, 0.004712743216369053, 0.0045233200253305128,
    0.0043379474896263481, 0.0041566124692518081, 0.0039793019225985438,
    0.003806002910220263, 0.0036367025989560986, 0.00347138826645077,
    0.0033100473061160596, 0.0031526672325824512, 0.0029992356876986648,
    0.0028497404471428123, 0.0027041694277207817, 0.0025625106954361154,
    0.0024247524744304139, 0.0022908831569090626, 0.0021608913141828445,
    0.0020347657089828664, 0.0019124953092277686, 0.0017940693034581567,
    0.0016794771181898316, 0.0015687084374860216, 0.0014617532251079979,
    0.0013586017496737268, 0.0012592446133479207, 0.0011636727846963124,
    0.0010718776364857519, 0.00098385098938913451, 0.00089958516279720069,
    0.00081907303424411104, 0.00074230810936160019, 0.00066928460482063024,
    0.00059999754745132527, 0.00053444289374426912, 0.00047261767533801624,
    0.00041452017810073016, 0.00036015016531099064, 0.00030950915974725657,
    0.00026260080605100544, 0.00021943134502644401, 0.00018001024827585255,
    0.00014435108992993939, 0.00011247278268677885, 8.4401400657463377e-05,
    6.0173005401287227e-05, 3.9838325844421263e-05, 2.3471250799711463e-05,
    1.1186508223293146e-05, 3.1863350966609971e-06, 0, 0
  ), `1-sensitivity` = c(
    0,
    0, 0.0019569471624266699, 0.0039138943248533398, 0.0058708414872798986,
    0.0078277886497064575, 0.0097847358121331274, 0.011741682974559797,
    0.013698630136986356, 0.015655577299412915, 0.017612524461839585,
    0.019569471624266255, 0.021526418786692814, 0.023483365949119372,
    0.025440313111546042, 0.027397260273972712, 0.029354207436399271,
    0.03131115459882583, 0.0332681017612525, 0.03522504892367917,
    0.037181996086105729, 0.039138943248532287, 0.041095890410958957,
    0.043052837573385627, 0.045009784735812186, 0.046966731898238745,
    0.048923679060665415, 0.050880626223092085, 0.052837573385518644,
    0.054794520547945202, 0.056751467710371872, 0.058708414872798542,
    0.060665362035225101, 0.06262230919765166, 0.06457925636007833,
    0.066536203522505111, 0.068493150684931559, 0.070450097847358117,
    0.072407045009784787, 0.074363992172211457, 0.076320939334638016,
    0.078277886497064575, 0.080234833659491245, 0.082191780821917915,
    0.084148727984344474, 0.086105675146771032, 0.088062622309197702,
    0.090019569471624372, 0.091976516634050931, 0.09393346379647749,
    0.09589041095890416, 0.09784735812133083, 0.099804305283757389,
    0.10176125244618395, 0.10371819960861062, 0.10567514677103729,
    0.10763209393346385, 0.1095890410958904, 0.11154598825831696,
    0.11350293542074374, 0.1154598825831703, 0.11741682974559686,
    0.11937377690802353, 0.1213307240704502, 0.12328767123287676,
    0.12524461839530343, 0.1272015655577301, 0.12915851272015666,
    0.13111545988258322, 0.13307240704500978, 0.13502935420743645,
    0.13698630136986312, 0.13894324853228956, 0.14090019569471623,
    0.1428571428571429, 0.14481409001956957, 0.14677103718199613,
    0.14872798434442258, 0.15068493150684936, 0.15264187866927603,
    0.15459882583170259, 0.15655577299412915, 0.15851272015655571,
    0.16046966731898249, 0.16242661448140905, 0.16438356164383561,
    0.16634050880626228, 0.16829745596868895, 0.17025440313111551,
    0.17221135029354206, 0.17416829745596862, 0.1761252446183954,
    0.17808219178082196, 0.18003913894324852, 0.18199608610567519,
    0.18395303326810186, 0.18590998043052842, 0.18786692759295498,
    0.18982387475538165, 0.19178082191780843, 0.19373776908023488,
    0.19569471624266144, 0.197651663405088, 0.19960861056751478,
    0.20156555772994122, 0.20352250489236789, 0.20547945205479456,
    0.20743639921722123, 0.20939334637964779, 0.21135029354207435,
    0.21330724070450091, 0.21526418786692769, 0.21722113502935425,
    0.21917808219178081, 0.22113502935420748, 0.22309197651663415,
    0.22504892367906071, 0.22700587084148727, 0.22896281800391383,
    0.23091976516634061, 0.23287671232876717, 0.23483365949119361,
    0.23679060665362028, 0.23874755381604706, 0.24070450097847362,
    0.24266144814090007, 0.24461839530332685, 0.24657534246575352,
    0.24853228962818008, 0.25048923679060664, 0.25244618395303331,
    0.25440313111545998, 0.25636007827788654, 0.2583170254403131,
    0.26027397260273977, 0.26223091976516644, 0.26418786692759288,
    0.26614481409001955, 0.26810176125244622, 0.27005870841487289,
    0.27201565557729945, 0.27397260273972601, 0.27592954990215257,
    0.27788649706457935, 0.27984344422700591, 0.28180039138943247,
    0.28375733855185914, 0.28571428571428581, 0.28767123287671237,
    0.28962818003913893, 0.2915851272015656, 0.29354207436399227,
    0.29549902152641883, 0.29745596868884538, 0.29941291585127205,
    0.30136986301369872, 0.30332681017612528, 0.30528375733855184,
    0.30724070450097851, 0.30919765166340518, 0.31115459882583174,
    0.3131115459882583, 0.31506849315068497, 0.31702544031311164,
    0.3189823874755382, 0.32093933463796476, 0.32289628180039143,
    0.3248532289628181, 0.32681017612524477, 0.32876712328767121,
    0.330724070450098, 0.33268101761252455, 0.33463796477495111,
    0.33659491193737767, 0.33855185909980445, 0.34050880626223101,
    0.34246575342465757, 0.34442270058708413, 0.3463796477495108,
    0.34833659491193747, 0.35029354207436403, 0.35225048923679059,
    0.35420743639921726, 0.35616438356164393, 0.35812133072407049,
    0.36007827788649704, 0.36203522504892371, 0.36399217221135038,
    0.36594911937377694, 0.3679060665362035, 0.36986301369863017,
    0.37181996086105684, 0.3737769080234834, 0.37573385518590996,
    0.37769080234833663, 0.3796477495107633, 0.38160469667318986,
    0.38356164383561642, 0.38551859099804309, 0.38747553816046976,
    0.38943248532289632, 0.39138943248532287, 0.39334637964774954,
    0.39530332681017621, 0.39726027397260277, 0.39921722113502933,
    0.401174168297456, 0.40313111545988267, 0.40508806262230923,
    0.40704500978473579, 0.40900195694716246, 0.41095890410958913,
    0.41291585127201569, 0.41487279843444225, 0.41682974559686892,
    0.41878669275929559, 0.42074363992172215, 0.4227005870841487,
    0.42465753424657537, 0.42661448140900204, 0.4285714285714286,
    0.43052837573385516, 0.43248532289628183, 0.4344422700587085,
    0.43639921722113506, 0.43835616438356162, 0.44031311154598829,
    0.44227005870841496, 0.44422700587084152, 0.44618395303326808,
    0.44814090019569475, 0.45009784735812142, 0.45205479452054798,
    0.45401174168297453, 0.4559686888454012, 0.45792563600782787,
    0.45988258317025443, 0.46183953033268099, 0.46379647749510766,
    0.46575342465753433, 0.46771037181996089, 0.46966731898238745,
    0.47162426614481412, 0.47358121330724079, 0.47553816046966735,
    0.47749510763209391, 0.47945205479452058, 0.48140900195694725,
    0.48336594911937381, 0.48532289628180036, 0.48727984344422703,
    0.4892367906066537, 0.49119373776908026, 0.49315068493150682,
    0.49510763209393349, 0.49706457925636016, 0.49902152641878672,
    0.50097847358121328, 0.50293542074363995, 0.50489236790606662,
    0.50684931506849318, 0.50880626223091974, 0.51076320939334641,
    0.51272015655577308, 0.51467710371819964, 0.51663405088062619,
    0.51859099804305286, 0.52054794520547953, 0.52250489236790609,
    0.52446183953033265, 0.52641878669275932, 0.52837573385518599,
    0.53033268101761255, 0.53228962818003911, 0.53424657534246578,
    0.53620352250489245, 0.53816046966731901, 0.54011741682974557,
    0.54207436399217224, 0.54403131115459891, 0.54598825831702547,
    0.54794520547945202, 0.54990215264187869, 0.55185909980430536,
    0.55381604696673192, 0.55577299412915848, 0.55772994129158515,
    0.55968688845401182, 0.56164383561643838, 0.56360078277886494,
    0.56555772994129161, 0.56751467710371828, 0.56947162426614484,
    0.5714285714285714, 0.57338551859099807, 0.57534246575342463,
    0.5772994129158513, 0.57925636007827785, 0.58121330724070452,
    0.58317025440313119, 0.58512720156555775, 0.58708414872798431,
    0.58904109589041087, 0.59099804305283765, 0.59295499021526421,
    0.59491193737769077, 0.59686888454011744, 0.59882583170254411,
    0.60078277886497067, 0.60273972602739723, 0.60469667318982379,
    0.60665362035225057, 0.60861056751467713, 0.61056751467710368,
    0.61252446183953035, 0.61448140900195702, 0.61643835616438358,
    0.61839530332681014, 0.62035225048923681, 0.62230919765166348,
    0.62426614481409004, 0.6262230919765166, 0.62818003913894327,
    0.63013698630136994, 0.6320939334637965, 0.63405088062622306,
    0.63600782778864973, 0.6379647749510764, 0.63992172211350296,
    0.64187866927592951, 0.64383561643835618, 0.64579256360078285,
    0.64774951076320941, 0.64970645792563608, 0.65166340508806253,
    0.6536203522504892, 0.65557729941291587, 0.65753424657534243,
    0.65949119373776899, 0.66144814090019577, 0.66340508806262233,
    0.66536203522504889, 0.66731898238747556, 0.66927592954990223,
    0.67123287671232879, 0.67318982387475534, 0.67514677103718201,
    0.67710371819960868, 0.67906066536203524, 0.6810176125244618,
    0.68297455968688847, 0.68493150684931503, 0.6868884540117417,
    0.68884540117416837, 0.69080234833659493, 0.69275929549902149,
    0.69471624266144816, 0.69667318982387472, 0.69863013698630139,
    0.70058708414872806, 0.70254403131115462, 0.70450097847358117,
    0.70645792563600784, 0.7084148727984344, 0.71037181996086107,
    0.71232876712328763, 0.7142857142857143, 0.71624266144814097,
    0.71819960861056753, 0.72015655577299409, 0.72211350293542076,
    0.72407045009784743, 0.72602739726027399, 0.72798434442270055,
    0.72994129158512722, 0.73189823874755389, 0.73385518590998045,
    0.735812133072407, 0.73776908023483356, 0.73972602739726023,
    0.7416829745596869, 0.74363992172211346, 0.74559686888454013,
    0.74755381604696669, 0.74951076320939336, 0.75146771037181992,
    0.75342465753424659, 0.75538160469667326, 0.75733855185909993,
    0.75929549902152638, 0.76125244618395305, 0.76320939334637972,
    0.76516634050880639, 0.76712328767123283, 0.7690802348336595,
    0.77103718199608617, 0.77299412915851273, 0.77495107632093929,
    0.77690802348336596, 0.77886497064579263, 0.78082191780821919,
    0.78277886497064575, 0.78473581213307242, 0.78669275929549909,
    0.78864970645792565, 0.79060665362035221, 0.79256360078277899,
    0.79452054794520555, 0.79647749510763211, 0.79843444227005878,
    0.80039138943248533, 0.802348336594912, 0.80430528375733856,
    0.80626223091976512, 0.80821917808219168, 0.81017612524461835,
    0.81213307240704502, 0.81409001956947158, 0.81604696673189825,
    0.81800391389432481, 0.81996086105675148, 0.82191780821917804,
    0.82387475538160471, 0.82583170254403138, 0.82778864970645794,
    0.82974559686888449, 0.83170254403131116, 0.83365949119373783,
    0.83561643835616439, 0.83757338551859095, 0.83953033268101762,
    0.84148727984344429, 0.84344422700587085, 0.84540117416829752,
    0.84735812133072408, 0.84931506849315064, 0.85127201565557742,
    0.85322896281800387, 0.85518590998043065, 0.85714285714285721,
    0.85909980430528377, 0.86105675146771044, 0.86301369863013699,
    0.86497064579256366, 0.86692759295499022, 0.86888454011741678,
    0.87084148727984334, 0.87279843444227001, 0.87475538160469657,
    0.87671232876712324, 0.87866927592954991, 0.88062622309197647,
    0.88258317025440314, 0.8845401174168297, 0.88649706457925637,
    0.88845401174168304, 0.8904109589041096, 0.89236790606653615,
    0.89432485322896282, 0.89628180039138949, 0.89823874755381605,
    0.90019569471624261, 0.90215264187866928, 0.90410958904109584,
    0.90606653620352251, 0.90802348336594918, 0.90998043052837574,
    0.9119373776908023, 0.91389432485322897, 0.91585127201565553,
    0.9178082191780822, 0.91976516634050876, 0.92172211350293543,
    0.92367906066536209, 0.92563600782778865, 0.92759295499021521,
    0.92954990215264188, 0.93150684931506844, 0.93346379647749511,
    0.93542074363992167, 0.93737769080234834, 0.9393346379647749,
    0.94129158512720146, 0.94324853228962813, 0.9452054794520548,
    0.94716242661448136, 0.94911937377690803, 0.95107632093933459,
    0.95303326810176126, 0.95499021526418781, 0.95694716242661448,
    0.95890410958904104, 0.96086105675146771, 0.96281800391389427,
    0.96477495107632094, 0.9667318982387475, 0.96868884540117417,
    0.97064579256360073, 0.9726027397260274, 0.97455968688845396,
    0.97651663405088063, 0.97847358121330719, 0.98043052837573386,
    0.98238747553816042, 0.98434442270058709, 0.98630136986301364,
    0.98825831702544031, 0.99021526418786687, 0.99217221135029354,
    0.9941291585127201, 0.99608610567514677, 0.99804305283757333,
    1, 1
  ), `1-accuracy` = c(
    0.63716814159292035, 0.63716814159292035,
    0.63380816568955245, 0.63008753375192006, 0.62633553733726588,
    0.62260015367795729, 0.61889805853728075, 0.61523618551157622,
    0.61161748446613862, 0.60804302864513982, 0.60451293181155541,
    0.60102679442794749, 0.59758393798620624, 0.59418353493868759,
    0.5908246835578751, 0.58750645218607311, 0.58422790576346517,
    0.58098812176377246, 0.57778619964072797, 0.57462126622544218,
    0.57149247856549323, 0.56839902513715479, 0.56534012602339911,
    0.56231503244026282, 0.55932302586131866, 0.55636341690450319,
    0.55343554408974749, 0.55053877253896077, 0.54767249266530826,
    0.54483611888216243, 0.54202908835092212, 0.53925085977929921,
    0.53650091227653807, 0.53377874426855931, 0.53108387247369815,
    0.52841583093818023, 0.52577417012948913, 0.52315845608518019,
    0.52056826961435321, 0.51800320554882862, 0.51546287204103025,
    0.51294688990561799, 0.51045489200200422, 0.50798652265501198,
    0.50554143711107113, 0.50311930102751079, 0.50071978999265299,
    0.49834258907456963, 0.49598739239651146, 0.49365390273716192,
    0.49134183115400354, 0.48905089662820966, 0.48678082572959058,
    0.48453135230023947, 0.48230221715561827, 0.48009316780192479,
    0.4779039581686616, 0.47573434835541584, 0.47358410439192866,
    0.47145299801060148, 0.46934080643064924, 0.46724731215316961,
    0.46517230276645005, 0.4631155707608825, 0.4610769133529008,
    0.45905613231739828, 0.45705303382812079, 0.45506742830556535,
    0.45309913027194615, 0.45114795821282172, 0.44921373444500379,
    0.44729628499039231, 0.44539543945540661, 0.44351103091570365,
    0.44164289580589533, 0.4397908738139944, 0.43795480778033546,
    0.436134543600734, 0.4343299301336645, 0.43254081911124576, 0.43076706505384055,
    0.42900852518808408, 0.42726505936817294, 0.42553653000024572,
    0.42382280196971212, 0.42212374257137708, 0.42043922144223256,
    0.418769110496786, 0.41711328386480606, 0.41547161783137221,
    0.41384399077912071, 0.41223028313258869, 0.41063037730455654,
    0.40904415764430091, 0.40747151038767415, 0.40591232360892626,
    0.40436648717419443, 0.40283389269658798, 0.40131443349279916,
    0.39980800454117593, 0.39831450244119238, 0.39683382537426037,
    0.39536587306582605, 0.3939105467486983, 0.39246774912755678,
    0.39103738434459601, 0.38961935794625502, 0.38821357685099334,
    0.38681994931806807, 0.38543838491727844, 0.38406879449963149,
    0.38271109016890403, 0.3813651852540576, 0.38003099428247833,
    0.3787084329540108, 0.37739741811575445, 0.37609786773759557,
    0.37480970088844734, 0.37353283771317192, 0.37226719941016095,
    0.37101270820954935, 0.3697692873520404, 0.36853686106832095,
    0.36731535455904618, 0.36610469397537215, 0.36490480640001988,
    0.36371561982885048, 0.36253706315293532, 0.36136906614110398,
    0.36021155942295369, 0.35906447447230483, 0.35792774359108837,
    0.35680129989365084, 0.35568507729146204, 0.35457901047821372,
    0.35348303491529698, 0.35239708681764459, 0.35132110313992682,
    0.35025502156309318, 0.3491987804812432, 0.3481523189888206,
    0.34711557686811934, 0.34608849457709312, 0.34507101323745426,
    0.34406307462306218, 0.34306462114858249, 0.3420755958584174,
    0.34109594241589225, 0.34012560509269651, 0.33916452875856717,
    0.33821265887120999, 0.33726994146645228, 0.33633632314861672,
    0.33541175108111476, 0.3344961729772491, 0.33358953709122396,
    0.33269179220935152, 0.33180288764145405, 0.33092277321245334,
    0.33005139925414406, 0.32918871659714477, 0.32833467656302173,
    0.32748923095658211, 0.32665233205832944, 0.32582393261708109,
    0.3250039858427386, 0.32419244539921033, 0.32338926539748114,
    0.32259440038882481, 0.32180780535815712, 0.32102943571752307,
    0.32025924729971844, 0.31949719635203833, 0.31874323953015338,
    0.31799733389210616, 0.31725943689242997, 0.31652950637638055,
    0.31580750057428431, 0.31509337809599491, 0.31438709792545971,
    0.31368861941538917, 0.31299790228203117, 0.31231490660004446,
    0.31163959279746978, 0.31097192165079601, 0.31031185428012042,
    0.30965935214439944, 0.30901437703678725, 0.30837689108006217,
    0.3077468567221372, 0.30712423673165234, 0.30650899419364941,
    0.3059010925053236, 0.30530049537185355, 0.30470716680230547,
    0.30412107110561293, 0.30354217288662422, 0.30297043704222515,
    0.30240582875752686, 0.30184831350212149, 0.30129785702640444,
    0.30075442535795927, 0.30021798479800699, 0.29968850191791518,
    0.29916594355576798, 0.2986502768129945, 0.29814146905105476,
    0.29763948788818173, 0.29714430119617785, 0.2966558770972666,
    0.29617418396099593, 0.29569919040119241, 0.29523086527296782,
    0.29476917766977306, 0.29431409692050192, 0.29386559258664158,
    0.2934236344594694, 0.29298819255729536, 0.29255923712274878,
    0.29213673862010869, 0.29172066773267724, 0.29131099536019445,
    0.29090769261629368, 0.29051073082599821, 0.29012008152325652,
    0.28973571644851581, 0.28935760754633411, 0.28898572696302938,
    0.28862004704436339, 0.28826054033326409, 0.28790717956757983,
    0.2875599376778698, 0.28721878778522769, 0.28688370319913736,
    0.2865546574153619, 0.28623162411386471, 0.28591457715675883,
    0.28560349058629064, 0.28529833862285137, 0.28499909566301718,
    0.28470573627761997, 0.28441823520984522, 0.28413656737335846,
    0.28386070785045681, 0.28359063189025069, 0.28332631490686822,
    0.28306773247768846, 0.28281486034159697, 0.28256767439726882,
    0.28232615070147382, 0.28209026546740756, 0.28185999506304482,
    0.28163531600951519, 0.28141620497950437, 0.28120263879567375,
    0.28099459442910557, 0.28079204899776655, 0.28059497976499503,
    0.28040336413800693, 0.28021717966642345, 0.28003640404081775,
    0.27986101509128247, 0.27969099078601534, 0.27952630922992472,
    0.27936694866325262, 0.27921288746021877, 0.27906410412767846,
    0.27892057730380271, 0.27878228575677211, 0.27864920838349017,
    0.27852132420831321, 0.27839861238179464, 0.27828105217944976,
    0.2781686230005318, 0.27806130436682752, 0.27795907592146596,
    0.27786191742774391, 0.27776980876796553, 0.27768272994229737,
    0.2776006610676367, 0.27752358237649566, 0.27745147421589866,
    0.27738431704629352, 0.27732209144047659, 0.27726477808253103,
    0.27721235776677811, 0.27716481139674243, 0.27712211998412817,
    0.27708426464780977, 0.27705122661283343, 0.2770229872094323,
    0.27699952787205184, 0.27698083013838903, 0.27696687564844102,
    0.27695764614356755, 0.27695312346556289, 0.27695328955573872,
    0.27695812645402029, 0.27696761629804989, 0.27698174132230391,
    0.27700048385721887, 0.27702382632832778, 0.27705175125540715,
    0.27708424125163356, 0.27712127902275019, 0.27716284736624286,
    0.27720892917052609, 0.27725950741413818, 0.27731456516494557,
    0.2773740855793565, 0.27743805190154336, 0.27750644746267394,
    0.27757925568015263, 0.27765646005686806, 0.27773804418045078,
    0.27782399172253913, 0.27791428643805305, 0.27800891216447565,
    0.27810785282114414, 0.27821109240854747, 0.27831861500763178,
    0.2784304047791144, 0.27854644596280509, 0.27866672287693361,
    0.27879121991748679, 0.27891992155755185, 0.27905281234666579,
    0.27918987691017405, 0.27933109994859451, 0.27947646623698918,
    0.27962596062434197, 0.27977956803294468, 0.27993727345778807,
    0.28009906196595979, 0.28026491869604997, 0.28043482885756144,
    0.28060877773032733, 0.28078675066393521, 0.28096873307715653,
    0.28115471045738227, 0.28134466836006555, 0.28153859240816814,
    0.28173646829161603, 0.28193828176675706, 0.28214401865582739,
    0.28235366484642177, 0.28256720629097043, 0.28278462900622048,
    0.28300591907272421, 0.28323106263433118, 0.28346004589768692,
    0.28369285513173714, 0.28392947666723456, 0.28416989689625538,
    0.28441410227171637, 0.28466207930690035, 0.28491381457498455,
    0.28516929470857622, 0.2854285063992501, 0.2856914363970936,
    0.2859580715102551, 0.28622839860449878, 0.286502404602762, 0.28678007648471882,
    0.28706140128634883, 0.28734636609950814, 0.28763495807150874,
    0.28792716440469801, 0.28822297235604744, 0.28852236923674202,
    0.2888253424117766, 0.28913187929955508, 0.28944196737149541,
    0.28975559415163898, 0.29007274721626253, 0.29039341419349762,
    0.29071758276295134, 0.29104524065533355, 0.29137637565208807,
    0.29171097558502701, 0.29204902833597146, 0.29239052183639502,
    0.29273544406707208, 0.2930837830577312, 0.29343552688671137,
    0.29379066368062412, 0.29414918161401971, 0.29451106890905665,
    0.29487631383517687, 0.29524490470878573, 0.29561682989293403,
    0.29599207779700787, 0.29637063687642007, 0.29675249563230899,
    0.29713764261123887, 0.29752606640490753, 0.29791775564985767,
    0.29831269902719215, 0.29871088526229617, 0.29911230312456205,
    0.2995169414271206, 0.29992478902657738, 0.30033583482275295,
    0.30075006775842994, 0.30116747681910405, 0.30158805103274178,
    0.30201177946954294, 0.30243865124170877, 0.3028686555032164,
    0.30330178144959918, 0.30373801831773295, 0.30417735538562851,
    0.30461978197223127, 0.30506528743722683, 0.30551386118085389,
    0.30596549264372408, 0.30642017130664956, 0.30687788669047689,
    0.3073386283559314, 0.30780238590346742, 0.30826914897312718,
    0.30873890724441067, 0.30921165043615195, 0.30968736830640664,
    0.31016605065235003, 0.31064768731018366, 0.31113226815505446,
    0.31161978310098504, 0.31211022210081585, 0.31260357514615955,
    0.31309983226736926, 0.31359898353352089, 0.31410101905240939,
    0.31460592897056128, 0.31511370347326262, 0.31562433278460522,
    0.31613780716755036, 0.31665411692401246, 0.3171732523949623,
    0.31769520396055329, 0.31821996204026959, 0.3187475170930989,
    0.31927785961773281, 0.31981098015279352, 0.32034686927709, 0.32088551760990769,
    0.32142691581133065, 0.3219710545826, 0.32251792466651241, 0.32306751684785906,
    0.32361982195391137, 0.32417483085495236, 0.32473253446486228,
    0.32529292374175978, 0.32585598968870222, 0.32642172335445407,
    0.32699011583432347, 0.32756115827107746, 0.32813484185593933,
    0.32871115782967797, 0.3292900974837939, 0.32987165216181502,
    0.33045581326070816, 0.3310425722324204, 0.33163192058555946,
    0.33222384988723019, 0.33281835176504027, 0.33341541790929208,
    0.33401504007538274, 0.33461721008643119, 0.33522191983615779,
    0.3358291612920461, 0.33643892649881679, 0.33705120758224916,
    0.33766599675339481, 0.33828328631322768, 0.33890306865778508,
    0.33952533628386539, 0.34015008179535189, 0.34077729791024747,
    0.34140697746852255, 0.34203911344088644, 0.34267369893862165,
    0.34331072722464084, 0.34395019172595775, 0.34459208604780089,
    0.34523640398964361, 0.34588313956348471, 0.34653228701478178,
    0.34718384084653697, 0.34783779584714336, 0.34849414712276183,
    0.34915289013518358, 0.34981402074640444, 0.35047753527147107,
    0.35114343054163843, 0.35181170398051076, 0.35248235369674319,
    0.35315537859814494, 0.353830778533885, 0.35450855447422935,
    0.35518870874142705, 0.35587124531192016, 0.35655617022071173,
    0.35724349211680551, 0.35793322305077002, 0.35862537963619812,
    0.35931998485036665, 0.36001707101613112, 0.36071668521308942,
    0.3614189005422398, 0.36212384586254398, 0.36283185840707965,
    0.36283185840707965
  ), `1-npv` = c(
    NaN, NaN, 0.14854260399211483,
    0.14314254551106298, 0.14113482791138099, 0.14026692996539869,
    0.13993466291987655, 0.1398985612589102, 0.14004292865881085,
    0.14030456546299408, 0.14064591580546715, 0.14104324760323372,
    0.14148084529921801, 0.14194791199182266, 0.14243680739790299,
    0.14294199264696028, 0.14345937105084106, 0.14398586141386827,
    0.14451911342738655, 0.14505731286568413, 0.14559904522088585,
    0.14614319834878242, 0.14668889174692112, 0.14723542437932424,
    0.14778223564837445, 0.14832887583610765, 0.14887498346485095,
    0.14942026778029605, 0.14996449507210496, 0.15050747790087526,
    0.15104906654829664, 0.15158914218359432, 0.15212761136620068,
    0.15266440159693029, 0.15319945769789156, 0.15373273885185323,
    0.15426421616967667, 0.15479387068307104, 0.15532169168180199,
    0.15584767533128496, 0.15637182351949475, 0.15689414289227732,
    0.15741464404408467, 0.15793334083743771, 0.1584502498293916,
    0.15896538978726349, 0.1594787812790478, 0.15999044632652315,
    0.16050040811113064, 0.1610086907243794, 0.1615153189559283,
    0.16202031811361062, 0.16252371387060049, 0.16302553213568849,
    0.16352579894326269, 0.16402454036012803, 0.16452178240672466,
    0.16501755099068682, 0.16551187185098126, 0.16600477051112839,
    0.16649627224022745, 0.16698640202069004, 0.16747518452174492,
    0.16796264407790518, 0.1684488046717102, 0.16893368992013924,
    0.16941732306418644, 0.16989972696115208, 0.17038092407926619,
    0.17086093649431067, 0.17133978588795484, 0.17181749354755405,
    0.17229408036719385, 0.17276956684979627, 0.17324397311011952,
    0.17371731887851527, 0.17418962350531841, 0.17466090596576156,
    0.17513118486532386, 0.17560047844543336, 0.17606880458945129,
    0.17653618082888101, 0.17700262434974645, 0.17746815199909616,
    0.17793278029159254, 0.17839652541615458, 0.1788594032426235,
    0.1793214293284251, 0.17978261892521052, 0.18024298698545504,
    0.18070254816899867, 0.18116131684951831, 0.18161930712091745,
    0.18207653280362601, 0.18253300745080181, 0.18298874435442902,
    0.18344375655130574, 0.18389805682892046, 0.18435165773121143,
    0.18480457156420871, 0.18525681040155517, 0.18570838608991036,
    0.18615931025422938, 0.18660959430292556, 0.18705924943290897,
    0.18750828663450936, 0.18795671669627878, 0.18840455020967817,
    0.18885179757364901, 0.18929846899907166, 0.18974457451311133,
    0.19019012396345603, 0.19063512702244545, 0.1910795931910958,
    0.19152353180302129, 0.1919669520282542, 0.1924098628769666,
    0.19285227320309695, 0.19329419170788054, 0.19373562694329005,
    0.19417658731538601, 0.19461708108757914, 0.19505711638381007,
    0.19549670119164375, 0.19593584336528402, 0.19637455062851139,
    0.19681283057754151, 0.19725069068381196, 0.19768813829669485,
    0.1981251806461406, 0.1985618248452522, 0.19899807789279356,
    0.19943394667563252, 0.19986943797112289, 0.20030455844942197,
    0.20073931467575257, 0.20117371311260446, 0.20160776012188053,
    0.20204146196698947, 0.20247482481488366, 0.20290785473804651,
    0.20334055771643056, 0.20377293963934495, 0.20420500630729732,
    0.204636763433789, 0.20506821664706576, 0.20549937149182507,
    0.20593023343088113, 0.20636080784678934, 0.20679110004342993,
    0.20722111524755416, 0.2076508586102922, 0.20808033520862368,
    0.2085095500468146, 0.20893850805781666, 0.20936721410463688,
    0.20979567298167068, 0.21022388941600578, 0.21065186806869374,
    0.21107961353599181, 0.21150713035057633, 0.21193442298272602,
    0.21236149584147923, 0.21278835327576273, 0.21321499957549594,
    0.2136414389726683, 0.2140676756423926, 0.21449371370393322,
    0.21491955722171219, 0.2153452102062916, 0.21577067661533367,
    0.21619596035453914, 0.21662106527856506, 0.21704599519192158,
    0.21747075384984849, 0.21789534495917307, 0.21831977217914766,
    0.21874403912227103, 0.21916814935508822, 0.21959210639897697,
    0.22001591373091289, 0.22043957478422138, 0.22086309294931183,
    0.2212864715743954, 0.22170971396618844, 0.22213282339060036,
    0.22255580307340772, 0.22297865620091184, 0.22340138592058567,
    0.22382399534170316, 0.22424648753595988, 0.22466886553807652,
    0.22509113234639266, 0.22551329092344663, 0.22593534419654426,
    0.22635729505831581, 0.22677914636726049, 0.22720090094828116,
    0.22762256159320826, 0.22804413106131105, 0.22846561207980054,
    0.22888700734432232, 0.22930831951943775, 0.22972955123909755,
    0.23015070510710389, 0.23057178369756592, 0.23099278955534375,
    0.23141372519648462, 0.23183459310865162, 0.23225539575154164,
    0.23267613555729816, 0.2330968149309125, 0.23351743625062094,
    0.23393800186829128, 0.23435851410980357, 0.23477897527542291,
    0.23519938764016546, 0.2356197534541572, 0.23604007494298607,
    0.23646035430804679, 0.23688059372688097, 0.23730079535350856,
    0.23772096131875453, 0.23814109373056902, 0.23856119467434156,
    0.23898126621320981, 0.23940131038836165, 0.23982132921933297,
    0.24024132470429871, 0.24066129882036003, 0.24108125352382459,
    0.24150119075048282, 0.24192111241587899, 0.24234102041557748,
    0.24276091662542365, 0.24318080290180122, 0.2436006810818826,
    0.24402055298387848, 0.24444042040727942, 0.24486028513309543,
    0.24528014892408967, 0.24570001352500959, 0.24611988066281354,
    0.24653975204689171, 0.24695962936928617, 0.24737951430490479,
    0.24779940851173177, 0.24821931363103567, 0.24863923128757293,
    0.24905916308978737, 0.24947911063000783, 0.24989907548464063,
    0.25031905921436004, 0.25073906336429519, 0.25115908946421317,
    0.25157913902869977, 0.25199921355733679, 0.25241931453487665,
    0.25283944343141329, 0.25325960170255168, 0.25367979078957226,
    0.25410001211959532, 0.25452026710574016, 0.2549405571472827,
    0.25536088362981157, 0.25578124792537904, 0.25620165139265139,
    0.25662209537705694, 0.25704258121092982, 0.25746311021365353,
    0.25788368369180059, 0.25830430293927054, 0.25872496923742583,
    0.2591456838552253, 0.25956644804935491, 0.25998726306435738,
    0.26040813013275943, 0.26082905047519622, 0.26125002530053465,
    0.26167105580599426, 0.26209214317726659, 0.26251328858863177,
    0.26293449320307438, 0.26335575817239631, 0.26377708463732885,
    0.26419847372764205, 0.26461992656225342, 0.26504144424933374,
    0.26546302788641196, 0.26588467856047837, 0.26630639734808559,
    0.26672818531544862, 0.26715004351854343, 0.2675719730032029,
    0.26799397480521259, 0.26841604995040391, 0.26883819945474696,
    0.26926042432444075, 0.2696827255560027, 0.27010510413635647,
    0.27052756104291908, 0.27095009724368557, 0.27137271369731297,
    0.2717954113532034, 0.27221819115158508, 0.27264105402359196,
    0.27306400089134364, 0.27348703266802199, 0.27391015025794818,
    0.27433335455665808, 0.27475664645097553, 0.27518002681908604,
    0.27560349653060878, 0.27602705644666692, 0.27645070741995736,
    0.27687445029481961, 0.2772982859073031, 0.27772221508523409,
    0.27814623864828081, 0.27857035740801839, 0.27899457216799206,
    0.27941888372378032, 0.27984329286305643, 0.28026780036564858,
    0.28069240700360054, 0.28111711354123037, 0.28154192073518858,
    0.28196682933451478, 0.28239184008069496, 0.28281695370771642,
    0.28324217094212245, 0.28366749250306655, 0.28409291910236534,
    0.28451845144455112, 0.28494409022692313, 0.28536983613959865,
    0.2857956898655627, 0.28622165208071804, 0.28664772345393308,
    0.28707390464709037, 0.28750019631513402, 0.28792659910611507,
    0.28835311366123939, 0.2887797406149113, 0.28920648059477883,
    0.28963333422177828, 0.29006030211017664, 0.29048738486761516,
    0.2909145830951515, 0.29134189738730099, 0.29176932833207858,
    0.29219687651103865, 0.29262454249931513, 0.29305232686566196,
    0.29348023017249047, 0.29390825297590972, 0.2943363958257631,
    0.29476465926566697, 0.29519304383304712, 0.29562155005917545,
    0.29605017846920678, 0.29647892958221411, 0.29690780391122484,
    0.29733680196325429, 0.29776592423934234, 0.29819517123458583,
    0.29862454343817446, 0.29905404133342273, 0.29948366539780391,
    0.29991341610298328, 0.30034329391485048, 0.30077329929355223,
    0.30120343269352423, 0.30163369456352307, 0.30206408534665841,
    0.30249460548042406, 0.30292525539672932, 0.30335603552193025,
    0.30378694627686054, 0.30421798807686262, 0.30464916133181785,
    0.3050804664461777, 0.30551190381899418, 0.30594347384395004,
    0.30637517690938965, 0.30680701339834893, 0.30723898368858638,
    0.30767108815261357, 0.30810332715772493, 0.30853570106602946,
    0.30896821023448096, 0.30940085501490877, 0.30983363575404932,
    0.3102665527935774, 0.31069960647013739, 0.31113279711537523,
    0.31156612505597092, 0.31199959061367033, 0.31243319410531867,
    0.31286693584289393, 0.31330081613353955, 0.31373483527960011,
    0.31416899357865535, 0.31460329132355613, 0.31503772880245995,
    0.31547230629886847, 0.31590702409166482, 0.31634188245515227,
    0.31677688165909323, 0.31721202196875031, 0.31764730364492699,
    0.31808272694401074, 0.31851829211801663, 0.31895399941463198,
    0.31938984907726342, 0.31982584134508441, 0.3202619764530843,
    0.32069825463212054, 0.32113467610897084, 0.32157124110638791,
    0.32200794984315684, 0.32244480253415431, 0.32288179939040929,
    0.32331894061916766, 0.32375622642395852, 0.3241936570046634,
    0.32463123255758897, 0.32506895327554264, 0.32550681934791126,
    0.32594483096074423, 0.32638298829683998, 0.32682129153583672,
    0.32725974085430765, 0.32769833642586121, 0.32813707842124573,
    0.3285759670084607, 0.32901500235287229, 0.32945418461733611,
    0.3298935139623268, 0.33033299054607412, 0.3307726145247063,
    0.33121238605240333, 0.33165230528155709, 0.33209237236294153,
    0.33253258744589365, 0.33297295067850452, 0.33341346220782186,
    0.33385412218006649, 0.33429493074086014, 0.33473588803547061,
    0.33517699420906999, 0.33561824940701179, 0.3360596537751257,
    0.33650120746003176, 0.33694291060947767, 0.33738476337269752,
    0.33782676590079708, 0.33826891834716666, 0.33871122086792327,
    0.33915367362238613, 0.33959627677358728, 0.340039030488821,
    0.34048193494023682, 0.34092499030547785, 0.34136819676837071,
    0.34181155451967227, 0.34225506375787662, 0.34269872469009266,
    0.34314253753299417, 0.34358650251385525, 0.34403061987167749,
    0.34447488985841968, 0.34491931274034215, 0.34536388879947799,
    0.34580861833524823, 0.34625350166623603, 0.34669853913214199,
    0.34714373109594165, 0.34758907794627381, 0.34803458010008825,
    0.3484802380055928, 0.34892605214553651, 0.34937202304088499,
    0.34981815125494164, 0.35026443739798774, 0.35071088213252499,
    0.35115748617921794, 0.35160425032366349, 0.35205117542412945,
    0.35249826242044824, 0.35294551234428706, 0.353392926331075,
    0.35384050563393898, 0.3542882516400927, 0.35473616589025114,
    0.3551842501018142, 0.35563250619679465, 0.35608093633579696,
    0.35652954295981132, 0.3569783288422671, 0.35742729715478549,
    0.35787645155159087, 0.35832579627993522, 0.35877533632776559,
    0.35922507762644629, 0.35967502733804124, 0.36012519427874867,
    0.36057558957500346, 0.36102622774936932, 0.36147712868993698,
    0.36192832174764411, 0.36237985654544391, 0.36283185840707965,
    0.36283185840707965
  ), `1-ppv` = c(
    0.63716814159292035, 0.63716814159292035,
    0.6361389059782101, 0.63496681359486984, 0.63377082390411288,
    0.63256843711373545, 0.63136592057348517, 0.63016604092930673,
    0.62897012474143532, 0.62777881221732967, 0.62659238577831, 0.62541093049151608,
    0.62423441885588904, 0.62306275826274626, 0.62189581871708222,
    0.62073344954365939, 0.61957548967933884, 0.61842177410173393,
    0.617272137865992, 0.61612641862833772, 0.61498445819595737,
    0.61384610344257196, 0.61271120680744007, 0.61157962651986209,
    0.61045122664317608, 0.60932587700111951, 0.60820345302897105,
    0.60708383557825041, 0.60596691069455422, 0.6048525693818444,
    0.60374070736219809, 0.60263122483705867, 0.6015240262539584,
    0.60041902008125003, 0.59931611859238021, 0.59821523766054563,
    0.59711629656408816, 0.59601921780265876, 0.59492392692396301,
    0.5938303523607481, 0.59273842527760556, 0.59164807942711217,
    0.59055925101480244, 0.58947187857246064, 0.58838590283922354,
    0.58730126665000482, 0.58621791483076158, 0.58513579410015704,
    0.58405485297719073, 0.58297504169439396, 0.58189631211621673,
    0.58081861766225451, 0.57974191323498525, 0.57866615515171538,
    0.57759130108044787, 0.57651730997941386, 0.57544414204001826,
    0.57437175863297751, 0.57330012225743898, 0.57222919649288329,
    0.57115894595363503, 0.57008933624580915, 0.56902033392654017,
    0.56795190646535065, 0.56688402220752243, 0.56581665033934803,
    0.56474976085514705, 0.56368332452593783, 0.56261731286966798,
    0.56155169812290606, 0.56048645321391255, 0.55942155173700603,
    0.55835696792815015, 0.55729267664169269, 0.55622865332818772,
    0.55516487401324444, 0.55410131527734174, 0.55303795423655422,
    0.55197476852414495, 0.55091173627297252, 0.54984883609867041,
    0.54878604708355927, 0.54772334876125095, 0.546660721101909,
    0.54559814449813282, 0.54453559975143118, 0.54347306805925766,
    0.5424105310025773, 0.54134797053394079, 0.54028536896603729,
    0.53922270896070623, 0.5381599735183844, 0.53709714596796532,
    0.5360342099570552, 0.5349711494426026, 0.53390794868188873,
    0.53284459222385583, 0.53178106490076527, 0.53071735182016244,
    0.52965343835714251, 0.52858931014689592, 0.527524953077527,
    0.52646035328313157, 0.52539549713712008, 0.52433037124578008,
    0.52326496244206289, 0.52219925777958887, 0.52113324452686027,
    0.5200669101616715, 0.51900024236571185, 0.51793322901934991,
    0.51686585819659392, 0.51579811816022025, 0.51472999735706115,
    0.51366148441345116, 0.51259256813081833, 0.5115232374814217,
    0.51045348160422199, 0.50938328980088798, 0.50831265153192806,
    0.50724155641294222, 0.50616999421099429, 0.50509795484109399,
    0.50402542836278963, 0.502952404976865, 0.50187887502213535,
    0.50080482897234224, 0.49973025743314081, 0.4986551511391778,
    0.49757950095125492, 0.49650329785357783, 0.49542653295108396,
    0.49434919746685013, 0.49327128273957277, 0.49219278022112378,
    0.49111368147417378, 0.49003397816988414, 0.48895366208566438,
    0.48787272510299207, 0.48679115920529481, 0.48570895647588974,
    0.48462610909598081, 0.48354260934271154, 0.48245844958726969,
    0.48137362229304548, 0.48028812001383758, 0.47920193539210942,
    0.47811506115728997, 0.47702749012412216, 0.47593921519105364,
    0.4748502293386696, 0.47376052562816884, 0.47267009719987685,
    0.47157893727180022, 0.47048703913821588, 0.46939439616829937,
    0.46830100180478584, 0.46720684956266723, 0.4661119330279202,
    0.46501624585626922, 0.46391978177197823, 0.46282253456667366,
    0.46172449809819704, 0.46062566628948565, 0.45952603312748086,
    0.45842559266206429, 0.45732433900501845, 0.4562222663290143,
    0.45511936886662296, 0.4540156409093512, 0.45291107680670029,
    0.45180567096524782, 0.45069941784775147, 0.44959231197227434,
    0.44848434791132985, 0.44737552029104921, 0.44626582379036739,
    0.44515525314022708, 0.44404380312280434, 0.44293146857074917,
    0.44181824436644634, 0.44070412544129167, 0.43958910677498653,
    0.43847318339484753, 0.43735635037513365, 0.43623860283638638,
    0.43511993594478726, 0.43400034491152994, 0.43287982499220534,
    0.43175837148620166, 0.43063597973611778, 0.42951264512719045,
    0.42838836308673411, 0.42726312908359287, 0.42613693862760516,
    0.42500978726908178, 0.42388167059829263, 0.4227525842449682,
    0.42162252387781007, 0.4204914852040128, 0.41935946396879731,
    0.41822645595495334, 0.41709245698239283, 0.41595746290771296,
    0.41482146962376931, 0.41368447305925804, 0.41254646917830617,
    0.41140745398007372, 0.41026742349836165, 0.40912637380123018,
    0.40798430099062422, 0.40684120120200917, 0.40569707060401139,
    0.40455190539806984, 0.40340570181809265, 0.40225845613012312,
    0.4011101646320121, 0.39996082365309771, 0.39881042955389079,
    0.39765897872576994, 0.39650646759068042, 0.39535289260084094,
    0.39419825023845667, 0.3930425370154379, 0.39188574947312571,
    0.39072788418202242, 0.38956893774152856, 0.38840890677968598,
    0.3872477879529248, 0.38608557794581755, 0.38492227347083807,
    0.38375787126812411, 0.38259236810524833, 0.38142576077699009,
    0.38025804610511516, 0.37908922093815933, 0.37791928215121529,
    0.37674822664572649, 0.37557605134928251, 0.37440275321542182,
    0.37322832922343563, 0.37205277637817813, 0.3708760917098799,
    0.36969827227396457, 0.36851931515087111, 0.36733921744587705,
    0.36615797628892832, 0.36497558883447079, 0.36379205226128497,
    0.36260736377232616, 0.36142152059456478, 0.36023451997883327,
    0.35904635919967332, 0.35785703555518711, 0.35666654636689277,
    0.35547488897957946, 0.35428206076116975, 0.35308805910258045,
    0.35189288141758768, 0.35069652514269634, 0.34949898773700783,
    0.34830026668209535, 0.34710035948187645, 0.34589926366249113,
    0.3446969767721817, 0.3434934963811731, 0.34228882008155637,
    0.34108294548717466, 0.33987587023350929, 0.3386675919775699,
    0.33745810839778401, 0.33624741719388918, 0.33503551608682847,
    0.33382240281864295, 0.33260807515237067, 0.33139253087194342,
    0.33017576778208646, 0.32895778370821849, 0.32773857649635385,
    0.32651814401300394, 0.32529648414508117, 0.32407359479980358,
    0.3228494739045995, 0.32162411940701274, 0.32039752927461018,
    0.31916970149488721, 0.31794063407517625, 0.31671032504255392,
    0.31547877244374856, 0.31424597434504864, 0.31301192883221141,
    0.31177663401037059, 0.31054008800394406, 0.30930228895654277,
    0.30806323503087729, 0.30682292440866654, 0.30558135529054253,
    0.30433852589595856, 0.30309443446309225, 0.30184907924875315,
    0.30060245852828471, 0.29935457059546666, 0.29810541376241806,
    0.29685498635949648, 0.29560328673519753, 0.29435031325605243,
    0.29309606430652335, 0.29184053828889855, 0.29058373362318268,
    0.28932564874699007, 0.28806628211542951, 0.28680563220099131,
    0.28554369749343178, 0.28428047649965238, 0.28301596774357729,
    0.2817501697660294, 0.2804830811246023, 0.27921470039352758,
    0.27794502616354078, 0.27667405704174353, 0.27540179165145873,
    0.27412822863208641, 0.27285336663895299, 0.27157720434315358,
    0.27029974043139504, 0.26902097360583088, 0.26774090258388916,
    0.26645952609809986, 0.2651768428959127, 0.26389285173950972,
    0.26260755140561431, 0.2613209406852901, 0.26003301838373571,
    0.25874378332007109, 0.25745323432711786, 0.25616137025117025,
    0.25486818995175931, 0.2535736923014088, 0.25227787618538167,
    0.25098074050141705, 0.24968228415946037, 0.24838250608137968,
    0.24708140520067412, 0.2457789804621725, 0.24447523082171785,
    0.24317015524584329, 0.24186375271143223, 0.24055602220536931,
    0.23924696272417778, 0.23793657327363815, 0.23662485286840129,
    0.23531180053157918, 0.23399741529432017, 0.23268169619537604,
    0.2313646422806398, 0.23004625260267852, 0.2287265262202357,
    0.22740546219772739, 0.22608305960470465, 0.22475931751530331,
    0.2234342350076749, 0.22210781116338552, 0.22078004506679827,
    0.21945093580442643, 0.21812048246426807, 0.2167886841351031,
    0.21545553990577337, 0.21412104886442418, 0.21278521009772366,
    0.21144802269004248, 0.21010948572260779, 0.20876959827261454,
    0.20742835941230731, 0.20608576820802549, 0.20474182371919591,
    0.20339652499730576, 0.20204987108480899, 0.20070186101400611,
    0.19935249380586806, 0.19800176846881079, 0.19664968399742266,
    0.19529623937113494, 0.19394143355283133, 0.1925852654874135,
    0.19122773410028393, 0.18986883829578149, 0.18850857695554302,
    0.18714694893679051, 0.18578395307054618, 0.18441958815977855,
    0.18305385297744681, 0.18168674626447989, 0.18031826672765527,
    0.17894841303738529, 0.17757718382540322, 0.17620457768234365,
    0.17483059315522564, 0.17345522874480113, 0.1720784829027987,
    0.17070035402903749, 0.16932084046839702, 0.16793994050766303,
    0.16655765237221176, 0.16517397422254709, 0.16378890415066771,
    0.16240244017626471, 0.1610145802427394, 0.15962532221302073,
    0.15823466386518747, 0.15684260288787288, 0.15544913687544837,
    0.15405426332295646, 0.15265797962080108, 0.15126028304917283,
    0.14986117077218042, 0.14846063983169555, 0.14705868714086834,
    0.14565530947731609, 0.14425050347595658, 0.14284426562145613,
    0.14143659224027894, 0.14002747949232197, 0.13861692336207443,
    0.13720491964932158, 0.13579146395932051, 0.13437655169243379,
    0.13296017803318416, 0.13154233793869741, 0.13012302612647031,
    0.1287022370614469, 0.12727996494233884, 0.12585620368713812,
    0.1244309469177769, 0.12300418794385848, 0.1215759197454046,
    0.12014613495455551, 0.11871482583611015, 0.11728198426687964,
    0.11584760171370279, 0.11441166921007151, 0.11297417733122761,
    0.11153511616762735, 0.11009447529664973, 0.10865224375238614,
    0.10720840999337788, 0.10576296186812906, 0.10431588657819812,
    0.10286717063867457, 0.10141679983581375, 0.099964759181588536,
    0.098511032864873949, 0.097055604198957091, 0.095598455565082618,
    0.094139568351596203, 0.092678922888339677, 0.091216498375800481,
    0.089752272808522826, 0.088286222892211441, 0.086818323953894994,
    0.085348549844443733, 0.08387687283262335, 0.082403263489813638,
    0.080927690564368548, 0.079450120844485217, 0.07797051900826879,
    0.07648884745953799, 0.075005066147746713, 0.073519132370003959,
    0.072031000553155033, 0.070540622013326559, 0.069047944690088792,
    0.067552912851956859, 0.066055466769346149, 0.064555542350535511,
    0.063053070735482275, 0.06154797784137811, 0.060040183852798967,
    0.058529602648091816, 0.057016141151978506, 0.055499698602535563,
    0.053980165718443662, 0.052457423749380228, 0.050931343389108097,
    0.049401783526202503, 0.04786858980194697, 0.046331592937892241,
    0.04479060678649216, 0.043245426046980118, 0.041695823573377866,
    0.040141547182343196, 0.038582315842340065, 0.037017815091212825,
    0.035447691482222488, 0.03387154579436058, 0.032288924652988715,
    0.030699310080445796, 0.029102106313977583, 0.027496622961443173,
    0.025882053165094732, 0.024257444830985686, 0.022621662014939758,
    0.020973331987041544, 0.01931077085698707, 0.017631876015072212,
    0.015933965136455286, 0.014213524922422005, 0.01246579811308457,
    0.010684058225301496, 0.0088582189770833875, 0.0069718188258571789,
    0.0049941287433352688, 0.0028511559800148412, NaN, NaN
  ), precision = c(
    0.36283185840707965,
    0.36283185840707965, 0.3638610940217899, 0.36503318640513022,
    0.36622917609588718, 0.36743156288626455, 0.36863407942651477,
    0.36983395907069327, 0.37102987525856468, 0.37222118778267033,
    0.37340761422168994, 0.37458906950848397, 0.37576558114411096,
    0.37693724173725374, 0.37810418128291784, 0.37926655045634061,
    0.38042451032066116, 0.38157822589826601, 0.38272786213400795,
    0.38387358137166228, 0.38501554180404268, 0.3861538965574281,
    0.38728879319255993, 0.38842037348013791, 0.38954877335682397,
    0.39067412299888049, 0.39179654697102889, 0.39291616442174965,
    0.39403308930544578, 0.3951474306181556, 0.39625929263780185,
    0.39736877516294128, 0.3984759737460416, 0.39958097991875002,
    0.40068388140761979, 0.40178476233945432, 0.4028837034359119,
    0.40398078219734124, 0.40507607307603694, 0.4061696476392519,
    0.40726157472239444, 0.40835192057288783, 0.40944074898519756,
    0.41052812142753942, 0.4116140971607764, 0.41269873334999513,
    0.41378208516923842, 0.41486420589984296, 0.41594514702280921,
    0.41702495830560604, 0.41810368788378327, 0.41918138233774555,
    0.42025808676501475, 0.42133384484828468, 0.42240869891955213,
    0.42348269002058614, 0.4245558579599818, 0.42562824136702243,
    0.42669987774256107, 0.42777080350711671, 0.42884105404636491,
    0.42991066375419085, 0.43097966607345983, 0.43204809353464935,
    0.43311597779247762, 0.43418334966065192, 0.435250239144853,
    0.43631667547406222, 0.43738268713033202, 0.43844830187709388,
    0.43951354678608745, 0.44057844826299397, 0.44164303207184979,
    0.44270732335830731, 0.44377134667181228, 0.44483512598675551,
    0.44589868472265831, 0.44696204576344573, 0.44802523147585505,
    0.44908826372702754, 0.45015116390132964, 0.45121395291644079,
    0.45227665123874905, 0.453339278898091, 0.45440185550186718,
    0.45546440024856877, 0.45652693194074229, 0.45758946899742264,
    0.45865202946605921, 0.45971463103396271, 0.46077729103929371,
    0.46184002648161565, 0.46290285403203468, 0.4639657900429448,
    0.4650288505573974, 0.46609205131811132, 0.46715540777614412,
    0.46821893509923479, 0.46928264817983756, 0.47034656164285743,
    0.47141068985310414, 0.47247504692247294, 0.47353964671686843,
    0.47460450286287992, 0.47566962875421992, 0.47673503755793711,
    0.47780074222041108, 0.47886675547313973, 0.47993308983832855,
    0.48099975763428821, 0.48206677098065009, 0.48313414180340603,
    0.48420188183977975, 0.48527000264293885, 0.48633851558654884,
    0.48740743186918162, 0.4884767625185783, 0.48954651839577801,
    0.49061671019911202, 0.49168734846807199, 0.49275844358705778,
    0.49383000578900565, 0.49490204515890601, 0.49597457163721032,
    0.49704759502313495, 0.49812112497786465, 0.49919517102765776,
    0.50026974256685919, 0.5013448488608222, 0.50242049904874508,
    0.50349670214642217, 0.50457346704891604, 0.50565080253314987,
    0.50672871726042723, 0.50780721977887622, 0.50888631852582622,
    0.50996602183011586, 0.51104633791433562, 0.51212727489700793,
    0.51320884079470519, 0.51429104352411026, 0.51537389090401919,
    0.51645739065728846, 0.51754155041273031, 0.51862637770695452,
    0.51971187998616242, 0.52079806460789058, 0.52188493884271003,
    0.52297250987587784, 0.52406078480894636, 0.5251497706613304,
    0.52623947437183116, 0.52732990280012315, 0.52842106272819978,
    0.52951296086178412, 0.53060560383170063, 0.53169899819521416,
    0.53279315043733277, 0.5338880669720798, 0.53498375414373078,
    0.53608021822802177, 0.53717746543332634, 0.53827550190180296,
    0.53937433371051435, 0.54047396687251914, 0.54157440733793571,
    0.54267566099498155, 0.5437777336709857, 0.54488063113337704,
    0.5459843590906488, 0.54708892319329971, 0.54819432903475218,
    0.54930058215224853, 0.55040768802772566, 0.55151565208867015,
    0.55262447970895079, 0.55373417620963261, 0.55484474685977292,
    0.55595619687719566, 0.55706853142925083, 0.55818175563355366,
    0.55929587455870833, 0.56041089322501347, 0.56152681660515247,
    0.56264364962486635, 0.56376139716361362, 0.56488006405521274,
    0.56599965508847006, 0.56712017500779466, 0.56824162851379834,
    0.56936402026388222, 0.57048735487280955, 0.57161163691326589,
    0.57273687091640713, 0.57386306137239484, 0.57499021273091822,
    0.57611832940170737, 0.5772474157550318, 0.57837747612218993,
    0.5795085147959872, 0.58064053603120269, 0.58177354404504666,
    0.58290754301760717, 0.58404253709228704, 0.58517853037623069,
    0.58631552694074196, 0.58745353082169383, 0.58859254601992628,
    0.58973257650163835, 0.59087362619876982, 0.59201569900937578,
    0.59315879879799083, 0.59430292939598861, 0.59544809460193016,
    0.59659429818190735, 0.59774154386987688, 0.5988898353679879,
    0.60003917634690229, 0.60118957044610921, 0.60234102127423006,
    0.60349353240931958, 0.60464710739915906, 0.60580174976154333,
    0.6069574629845621, 0.60811425052687429, 0.60927211581797758,
    0.61043106225847144, 0.61159109322031402, 0.6127522120470752,
    0.61391442205418245, 0.61507772652916193, 0.61624212873187589,
    0.61740763189475167, 0.61857423922300991, 0.61974195389488484,
    0.62091077906184067, 0.62208071784878471, 0.62325177335427351,
    0.62442394865071749, 0.62559724678457818, 0.62677167077656437,
    0.62794722362182187, 0.6291239082901201, 0.63030172772603543,
    0.63148068484912889, 0.63266078255412295, 0.63384202371107168,
    0.63502441116552921, 0.63620794773871503, 0.63739263622767384,
    0.63857847940543522, 0.63976548002116673, 0.64095364080032668,
    0.64214296444481289, 0.64333345363310723, 0.64452511102042054,
    0.64571793923883025, 0.64691194089741955, 0.64810711858241232,
    0.64930347485730366, 0.65050101226299217, 0.65169973331790465,
    0.65289964051812355, 0.65410073633750887, 0.6553030232278183,
    0.6565065036188269, 0.65771117991844363, 0.65891705451282534,
    0.66012412976649071, 0.6613324080224301, 0.66254189160221599,
    0.66375258280611082, 0.66496448391317153, 0.66617759718135705,
    0.66739192484762933, 0.66860746912805658, 0.66982423221791354,
    0.67104221629178151, 0.67226142350364615, 0.67348185598699606,
    0.67470351585491883, 0.67592640520019642, 0.6771505260954005,
    0.67837588059298726, 0.67960247072538982, 0.68083029850511279,
    0.68205936592482375, 0.68328967495744608, 0.68452122755625144,
    0.68575402565495136, 0.68698807116778859, 0.68822336598962941,
    0.68945991199605594, 0.69069771104345723, 0.69193676496912271,
    0.69317707559133346, 0.69441864470945747, 0.69566147410404144,
    0.69690556553690775, 0.69815092075124685, 0.69939754147171529,
    0.70064542940453334, 0.70189458623758194, 0.70314501364050352,
    0.70439671326480247, 0.70564968674394757, 0.70690393569347665,
    0.70815946171110145, 0.70941626637681732, 0.71067435125300993,
    0.71193371788457049, 0.71319436779900869, 0.71445630250656822,
    0.71571952350034762, 0.71698403225642271, 0.7182498302339706,
    0.7195169188753977, 0.72078529960647242, 0.72205497383645922,
    0.72332594295825647, 0.72459820834854127, 0.72587177136791359,
    0.72714663336104701, 0.72842279565684642, 0.72970025956860496,
    0.73097902639416912, 0.73225909741611084, 0.73354047390190014,
    0.7348231571040873, 0.73610714826049028, 0.73739244859438569,
    0.7386790593147099, 0.73996698161626429, 0.74125621667992891,
    0.74254676567288214, 0.74383862974882975, 0.74513181004824069,
    0.7464263076985912, 0.74772212381461833, 0.74901925949858295,
    0.75031771584053963, 0.75161749391862032, 0.75291859479932588,
    0.7542210195378275, 0.75552476917828215, 0.75682984475415671,
    0.75813624728856777, 0.75944397779463069, 0.76075303727582222,
    0.76206342672636185, 0.76337514713159871, 0.76468819946842082,
    0.76600258470567983, 0.76731830380462396, 0.7686353577193602,
    0.76995374739732148, 0.7712734737797643, 0.77259453780227261,
    0.77391694039529535, 0.77524068248469669, 0.7765657649923251,
    0.77789218883661448, 0.77921995493320173, 0.78054906419557357,
    0.78187951753573193, 0.7832113158648969, 0.78454446009422663,
    0.78587895113557582, 0.78721478990227634, 0.78855197730995752,
    0.78989051427739221, 0.79123040172738546, 0.79257164058769269,
    0.79391423179197451, 0.79525817628080409, 0.79660347500269424,
    0.79795012891519101, 0.79929813898599389, 0.80064750619413194,
    0.80199823153118921, 0.80335031600257734, 0.80470376062886506,
    0.80605856644716867, 0.8074147345125865, 0.80877226589971607,
    0.81013116170421851, 0.81149142304445698, 0.81285305106320949,
    0.81421604692945382, 0.81558041184022145, 0.81694614702255319,
    0.81831325373552011, 0.81968173327234473, 0.82105158696261471,
    0.82242281617459678, 0.82379542231765635, 0.82516940684477436,
    0.82654477125519887, 0.8279215170972013, 0.82929964597096251,
    0.83067915953160298, 0.83206005949233697, 0.83344234762778824,
    0.83482602577745291, 0.83621109584933229, 0.83759755982373529,
    0.8389854197572606, 0.84037467778697927, 0.84176533613481253,
    0.84315739711212712, 0.84455086312455163, 0.84594573667704354,
    0.84734202037919892, 0.84873971695082717, 0.85013882922781958,
    0.85153936016830445, 0.85294131285913166, 0.85434469052268391,
    0.85574949652404342, 0.85715573437854387, 0.85856340775972106,
    0.85997252050767803, 0.86138307663792557, 0.86279508035067842,
    0.86420853604067949, 0.86562344830756621, 0.86703982196681584,
    0.86845766206130259, 0.86987697387352969, 0.8712977629385531,
    0.87272003505766116, 0.87414379631286188, 0.8755690530822231,
    0.87699581205614152, 0.8784240802545954, 0.87985386504544449,
    0.88128517416388985, 0.88271801573312036, 0.88415239828629721,
    0.88558833078992849, 0.88702582266877239, 0.88846488383237265,
    0.88990552470335027, 0.89134775624761386, 0.89279159000662212,
    0.89423703813187094, 0.89568411342180188, 0.89713282936132543,
    0.89858320016418625, 0.90003524081841146, 0.90148896713512605,
    0.90294439580104291, 0.90440154443491738, 0.9058604316484038,
    0.90732107711166032, 0.90878350162419952, 0.91024772719147717,
    0.91171377710778856, 0.91318167604610501, 0.91465145015555627,
    0.91612312716737665, 0.91759673651018636, 0.91907230943563145,
    0.92054987915551478, 0.92202948099173121, 0.92351115254046201,
    0.92499493385225329, 0.92648086762999604, 0.92796899944684497,
    0.92945937798667344, 0.93095205530991121, 0.93244708714804314,
    0.93394453323065385, 0.93544445764946449, 0.93694692926451772,
    0.93845202215862189, 0.93995981614720103, 0.94147039735190818,
    0.94298385884802149, 0.94450030139746444, 0.94601983428155634,
    0.94754257625061977, 0.9490686566108919, 0.9505982164737975,
    0.95213141019805303, 0.95366840706210776, 0.95520939321350784,
    0.95675457395301988, 0.95830417642662213, 0.9598584528176568,
    0.96141768415765994, 0.96298218490878718, 0.96455230851777751,
    0.96612845420563942, 0.96771107534701128, 0.9693006899195542,
    0.97089789368602242, 0.97250337703855683, 0.97411794683490527,
    0.97574255516901431, 0.97737833798506024, 0.97902666801295846,
    0.98068922914301293, 0.98236812398492779, 0.98406603486354471,
    0.98578647507757799, 0.98753420188691543, 0.9893159417746985,
    0.99114178102291661, 0.99302818117414282, 0.99500587125666473,
    0.99714884401998516, NaN, NaN
  ), recall = c(
    1, 1, 0.99804305283757333,
    0.99608610567514666, 0.9941291585127201, 0.99217221135029354,
    0.99021526418786687, 0.9882583170254402, 0.98630136986301364,
    0.98434442270058709, 0.98238747553816042, 0.98043052837573375,
    0.97847358121330719, 0.97651663405088063, 0.97455968688845396,
    0.97260273972602729, 0.97064579256360073, 0.96868884540117417,
    0.9667318982387475, 0.96477495107632083, 0.96281800391389427,
    0.96086105675146771, 0.95890410958904104, 0.95694716242661437,
    0.95499021526418781, 0.95303326810176126, 0.95107632093933459,
    0.94911937377690792, 0.94716242661448136, 0.9452054794520548,
    0.94324853228962813, 0.94129158512720146, 0.9393346379647749,
    0.93737769080234834, 0.93542074363992167, 0.93346379647749489,
    0.93150684931506844, 0.92954990215264188, 0.92759295499021521,
    0.92563600782778854, 0.92367906066536198, 0.92172211350293543,
    0.91976516634050876, 0.91780821917808209, 0.91585127201565553,
    0.91389432485322897, 0.9119373776908023, 0.90998043052837563,
    0.90802348336594907, 0.90606653620352251, 0.90410958904109584,
    0.90215264187866917, 0.90019569471624261, 0.89823874755381605,
    0.89628180039138938, 0.89432485322896271, 0.89236790606653615,
    0.8904109589041096, 0.88845401174168304, 0.88649706457925626,
    0.8845401174168297, 0.88258317025440314, 0.88062622309197647,
    0.8786692759295498, 0.87671232876712324, 0.87475538160469657,
    0.8727984344422699, 0.87084148727984334, 0.86888454011741678,
    0.86692759295499022, 0.86497064579256355, 0.86301369863013688,
    0.86105675146771044, 0.85909980430528377, 0.8571428571428571,
    0.85518590998043043, 0.85322896281800387, 0.85127201565557742,
    0.84931506849315064, 0.84735812133072397, 0.84540117416829741,
    0.84344422700587085, 0.84148727984344429, 0.83953033268101751,
    0.83757338551859095, 0.83561643835616439, 0.83365949119373772,
    0.83170254403131105, 0.82974559686888449, 0.82778864970645794,
    0.82583170254403138, 0.8238747553816046, 0.82191780821917804,
    0.81996086105675148, 0.81800391389432481, 0.81604696673189814,
    0.81409001956947158, 0.81213307240704502, 0.81017612524461835,
    0.80821917808219157, 0.80626223091976512, 0.80430528375733856,
    0.802348336594912, 0.80039138943248522, 0.79843444227005878,
    0.79647749510763211, 0.79452054794520544, 0.79256360078277877,
    0.79060665362035221, 0.78864970645792565, 0.78669275929549909,
    0.78473581213307231, 0.78277886497064575, 0.78082191780821919,
    0.77886497064579252, 0.77690802348336585, 0.77495107632093929,
    0.77299412915851273, 0.77103718199608617, 0.76908023483365939,
    0.76712328767123283, 0.76516634050880639, 0.76320939334637972,
    0.76125244618395294, 0.75929549902152638, 0.75733855185909993,
    0.75538160469667315, 0.75342465753424648, 0.75146771037181992,
    0.74951076320939336, 0.74755381604696669, 0.74559686888454002,
    0.74363992172211346, 0.7416829745596869, 0.73972602739726023,
    0.73776908023483356, 0.73581213307240712, 0.73385518590998045,
    0.73189823874755378, 0.72994129158512711, 0.72798434442270055,
    0.72602739726027399, 0.72407045009784743, 0.72211350293542065,
    0.72015655577299409, 0.71819960861056753, 0.71624266144814086,
    0.71428571428571419, 0.71232876712328763, 0.71037181996086107,
    0.7084148727984344, 0.70645792563600773, 0.70450097847358117,
    0.70254403131115462, 0.70058708414872795, 0.69863013698630128,
    0.69667318982387472, 0.69471624266144816, 0.69275929549902149,
    0.69080234833659482, 0.68884540117416826, 0.6868884540117417,
    0.68493150684931503, 0.68297455968688836, 0.6810176125244618,
    0.67906066536203524, 0.67710371819960857, 0.6751467710371819,
    0.67318982387475523, 0.67123287671232879, 0.669275929549902,
    0.66731898238747545, 0.66536203522504889, 0.66340508806262233,
    0.66144814090019555, 0.65949119373776899, 0.65753424657534243,
    0.65557729941291587, 0.6536203522504892, 0.65166340508806253,
    0.64970645792563597, 0.64774951076320941, 0.64579256360078274,
    0.64383561643835607, 0.64187866927592951, 0.63992172211350296,
    0.63796477495107629, 0.63600782778864962, 0.63405088062622306,
    0.6320939334637965, 0.63013698630136983, 0.62818003913894316,
    0.6262230919765166, 0.62426614481409004, 0.62230919765166337,
    0.6203522504892367, 0.61839530332681014, 0.61643835616438358,
    0.61448140900195691, 0.61252446183953024, 0.61056751467710368,
    0.60861056751467713, 0.60665362035225046, 0.60469667318982379,
    0.60273972602739723, 0.60078277886497067, 0.598825831702544,
    0.59686888454011733, 0.59491193737769077, 0.59295499021526421,
    0.59099804305283754, 0.58904109589041087, 0.58708414872798431,
    0.58512720156555775, 0.58317025440313108, 0.58121330724070441,
    0.57925636007827785, 0.5772994129158513, 0.57534246575342463,
    0.57338551859099796, 0.5714285714285714, 0.56947162426614484,
    0.56751467710371817, 0.5655577299412915, 0.56360078277886494,
    0.56164383561643838, 0.55968688845401171, 0.55772994129158504,
    0.55577299412915848, 0.55381604696673192, 0.55185909980430525,
    0.54990215264187858, 0.54794520547945202, 0.54598825831702547,
    0.5440313111545988, 0.54207436399217213, 0.54011741682974557,
    0.53816046966731901, 0.53620352250489234, 0.53424657534246567,
    0.53228962818003911, 0.53033268101761255, 0.52837573385518588,
    0.52641878669275921, 0.52446183953033265, 0.52250489236790609,
    0.52054794520547942, 0.51859099804305275, 0.51663405088062619,
    0.51467710371819964, 0.51272015655577297, 0.5107632093933463,
    0.50880626223091974, 0.50684931506849318, 0.50489236790606651,
    0.50293542074363984, 0.50097847358121328, 0.49902152641878667,
    0.49706457925636005, 0.49510763209393344, 0.49315068493150682,
    0.49119373776908021, 0.48923679060665359, 0.48727984344422698,
    0.48532289628180036, 0.48336594911937375, 0.48140900195694714,
    0.47945205479452052, 0.47749510763209391, 0.47553816046966729,
    0.47358121330724068, 0.47162426614481406, 0.46966731898238745,
    0.46771037181996084, 0.46575342465753422, 0.46379647749510761,
    0.46183953033268099, 0.45988258317025438, 0.45792563600782776,
    0.45596868884540115, 0.45401174168297453, 0.45205479452054792,
    0.45009784735812131, 0.44814090019569469, 0.44618395303326808,
    0.44422700587084146, 0.44227005870841485, 0.44031311154598823,
    0.43835616438356162, 0.43639921722113501, 0.43444227005870839,
    0.43248532289628178, 0.43052837573385516, 0.42857142857142855,
    0.42661448140900193, 0.42465753424657537, 0.4227005870841487,
    0.42074363992172209, 0.41878669275929548, 0.41682974559686886,
    0.41487279843444225, 0.41291585127201569, 0.41095890410958907,
    0.4090019569471624, 0.40704500978473579, 0.40508806262230923,
    0.40313111545988256, 0.40117416829745595, 0.39921722113502939,
    0.39726027397260272, 0.39530332681017616, 0.39334637964774949,
    0.39138943248532287, 0.38943248532289626, 0.38747553816046965,
    0.38551859099804303, 0.38356164383561642, 0.38160469667318986,
    0.37964774951076319, 0.37769080234833657, 0.37573385518590996,
    0.3737769080234834, 0.37181996086105673, 0.36986301369863012,
    0.3679060665362035, 0.36594911937377694, 0.36399217221135027,
    0.36203522504892366, 0.36007827788649704, 0.35812133072407043,
    0.35616438356164382, 0.3542074363992172, 0.35225048923679059,
    0.35029354207436392, 0.34833659491193741, 0.3463796477495108,
    0.34442270058708419, 0.34246575342465752, 0.34050880626223096,
    0.33855185909980429, 0.33659491193737767, 0.33463796477495111,
    0.33268101761252444, 0.33072407045009783, 0.32876712328767127,
    0.3268101761252446, 0.32485322896281799, 0.32289628180039132,
    0.32093933463796476, 0.31898238747553814, 0.31702544031311153,
    0.31506849315068497, 0.31311154598825836, 0.31115459882583163,
    0.30919765166340507, 0.30724070450097851, 0.30528375733855184,
    0.30332681017612523, 0.30136986301369861, 0.299412915851272,
    0.29745596868884538, 0.29549902152641883, 0.29354207436399216,
    0.2915851272015656, 0.28962818003913887, 0.28767123287671237,
    0.2857142857142857, 0.28375733855185903, 0.28180039138943253,
    0.27984344422700586, 0.27788649706457924, 0.27592954990215257,
    0.27397260273972601, 0.27201565557729945, 0.27005870841487278,
    0.26810176125244617, 0.26614481409001955, 0.264187866927593,
    0.26223091976516638, 0.26027397260273977, 0.2583170254403131,
    0.25636007827788648, 0.25440313111545987, 0.25244618395303331,
    0.2504892367906067, 0.24853228962818005, 0.24657534246575341,
    0.2446183953033268, 0.2426614481409001, 0.24070450097847362,
    0.23874755381604693, 0.23679060665362034, 0.23483365949119361,
    0.23287671232876717, 0.23091976516634047, 0.22896281800391383,
    0.22700587084148729, 0.22504892367906071, 0.22309197651663407,
    0.2211350293542074, 0.21917808219178078, 0.2172211350293542,
    0.21526418786692758, 0.21330724070450094, 0.21135029354207435,
    0.20939334637964774, 0.20743639921722107, 0.20547945205479451,
    0.20352250489236787, 0.20156555772994122, 0.19960861056751467,
    0.19765166340508805, 0.19569471624266147, 0.19373776908023482,
    0.19178082191780826, 0.18982387475538162, 0.18786692759295498,
    0.18590998043052842, 0.18395303326810175, 0.18199608610567519,
    0.18003913894324852, 0.17808219178082194, 0.17612524461839529,
    0.17416829745596865, 0.17221135029354201, 0.17025440313111548,
    0.16829745596868884, 0.16634050880626222, 0.16438356164383566,
    0.16242661448140899, 0.16046966731898241, 0.15851272015655576,
    0.15655577299412918, 0.15459882583170251, 0.15264187866927589,
    0.15068493150684936, 0.14872798434442261, 0.14677103718199611,
    0.14481409001956941, 0.14285714285714282, 0.14090019569471618,
    0.13894324853228959, 0.13698630136986298, 0.13502935420743636,
    0.13307240704500972, 0.13111545988258316, 0.12915851272015663,
    0.12720156555772999, 0.1252446183953034, 0.12328767123287671,
    0.12133072407045009, 0.11937377690802352, 0.11741682974559686,
    0.11545988258317025, 0.11350293542074361, 0.11154598825831699,
    0.10958904109589039, 0.1076320939334638, 0.1056751467710372,
    0.10371819960861053, 0.10176125244618392, 0.099804305283757389,
    0.097847358121330733, 0.09589041095890416, 0.093933463796477504,
    0.091976516634050862, 0.090019569471624289, 0.088062622309197675,
    0.086105675146771019, 0.084148727984344446, 0.082191780821917845,
    0.080234833659491259, 0.078277886497064589, 0.076320939334637947,
    0.074363992172211374, 0.072407045009784773, 0.070450097847358159,
    0.068493150684931517, 0.066536203522504889, 0.064579256360078302,
    0.062622309197651688, 0.060665362035225066, 0.058708414872798501,
    0.056751467710371865, 0.054794520547945209, 0.052837573385518657,
    0.050880626223092015, 0.048923679060665401, 0.046966731898238773,
    0.045009784735812165, 0.043052837573385544, 0.041095890410958923,
    0.039138943248532329, 0.03718199608610568, 0.035225048923679107,
    0.033268101761252479, 0.031311154598825837, 0.029354207436399233,
    0.027397260273972615, 0.02544031311154599, 0.023483365949119386,
    0.021526418786692772, 0.019569471624266147, 0.017612524461839554,
    0.015655577299412939, 0.013698630136986308, 0.011741682974559685,
    0.0097847358121330927, 0.0078277886497064766, 0.0058708414872798544,
    0.0039138943248532305, 0.0019569471624266178, 0, 0
  ), lr_pos = c(
    1,
    1, 1.0044592049640639, 1.0095549477491361, 1.0147740139539754,
    1.0200408897322375, 1.0253283978099121, 1.030624424845604, 1.035923064324404,
    1.0412213781154238, 1.0465179843670069, 1.051812367294235, 1.0571045117236577,
    1.06239469792949, 1.0676833813022926, 1.0729711194163183, 1.0782585267458038,
    1.0835462460788319, 1.0888349303024161, 1.0941252307773439, 1.0994177899766424,
    1.1047132369215551, 1.1100121844717385, 1.1153152278521059, 1.1206229440060151,
    1.1259358914989244, 1.1312546107851775, 1.1365796247098205, 1.1419114391573932,
    1.147250543787061, 1.1525974128123444, 1.1579525057968658, 1.1633162684467249,
    1.1686891333865559, 1.174071520910881, 1.179463839705559, 1.1848664875363857,
    1.190279851903469, 1.1957043106610907, 1.2011402326035097, 1.2065879780176683,
    1.2120478992040702, 1.2175203409672943, 1.2230056410777215, 1.2285041307060878,
    1.234016134832465, 1.2395419726312522, 1.2450819578336947, 1.2506363990693914,
    1.256205600188171, 1.2617898605636433, 1.2673894753796522, 1.2730047359007859,
    1.2786359297280141, 1.2842833410404637, 1.2899472508242582, 1.2956279370893011,
    1.3013256750748117, 1.3070407374443556, 1.312773394471086, 1.3185239142138276,
    1.3242925626846263, 1.3300796040083041, 1.3358853005745608, 1.3417099131830905,
    1.3475537011821788, 1.3534169226011836, 1.3592998342773046, 1.365202691976996,
    1.3711257505123648, 1.3770692638528681, 1.3830334852326032, 1.389018667253471,
    1.3950250619844624, 1.4010529210573106, 1.4071024957587337, 1.4131740371194761,
    1.4192677960003486, 1.4253840231754471, 1.4315229694127232, 1.4376848855520721,
    1.443870022581089, 1.4500786317086305, 1.4563109644363277, 1.4625672726281629,
    1.4688478085782459, 1.4751528250768844, 1.4814825754750693, 1.4878373137474645,
    1.4942172945540042, 1.5006227733001827, 1.5070540061961146, 1.5135112503144623,
    1.5199947636472921, 1.5265048051619354, 1.5330416348559217, 1.5396055138110578,
    1.5461967042466995, 1.5528154695722898, 1.559462074439204, 1.566136784791972,
    1.5728398679189188, 1.5795715925022717, 1.5863322286677819, 1.5931220480339134,
    1.5999413237606273, 1.6067903305978162, 1.6136693449334161, 1.6205786448412491,
    1.6275185101286145, 1.634489222383684, 1.6414910650227132, 1.6485243233371214,
    1.6555892845404652, 1.6626862378153264, 1.6698154743601601, 1.6769772874361215,
    1.6841719724139044, 1.6913998268206167, 1.6986611503867144, 1.7059562450930348,
    1.7132854152179371, 1.7206489673845888, 1.7280472106084102, 1.7354804563447115,
    1.7429490185365424, 1.7504532136627737, 1.7579933607864353, 1.7655697816033338,
    1.7731828004909789, 1.7808327445578185, 1.7885199436928338, 1.796244730615487,
    1.804007440926068, 1.8118084131564385, 1.8196479888212105, 1.8275265124693727,
    1.8354443317363889, 1.8434017973967811, 1.8513992634172287, 1.8594370870101973,
    1.86751562868812, 1.8756352523181472, 1.8837963251774967, 1.8919992180094081,
    1.900244305079738, 1.9085319642342042, 1.9168625769563139, 1.9252365284259769,
    1.9336542075788457, 1.9421160071663928, 1.9506223238167415, 1.959173558096289,
    1.9677701145721249, 1.9764124018752851, 1.9851008327648396, 1.9938358241928671,
    2.0026177973703119, 2.0114471778337673, 2.0203243955131915, 2.0292498848005889,
    2.0382240846196917, 2.0472474384966346, 2.0563203946316873, 2.0654434059720375,
    2.0746169302856692, 2.0838414302363564, 2.0931173734597985, 2.1024452326409167,
    2.1118254855923659, 2.121258615334253, 2.1307451101751163, 2.1402854637941897,
    2.1498801753249737, 2.159529749440158, 2.1692346964379041, 2.1789955323295453,
    2.1888127789287162, 2.1986869639419577, 2.2086186210608196, 2.2186082900555069,
    2.2286565168700903, 2.2387638537193362, 2.2489308591871673, 2.2591580983268158,
    2.2694461427626944, 2.2797955707940236, 2.2902069675002523, 2.3006809248483275,
    2.3112180418018387, 2.3218189244320877, 2.332484186031119, 2.3432144472267682,
    2.3540103360997633, 2.3648724883029328, 2.375801547182554, 2.3867981639019153,
    2.3978629975671182, 2.4089967153551832, 2.4201999926445108, 2.4314735131477421,
    2.4428179690470926, 2.4542340611321993, 2.4657224989405386, 2.4772840009004851,
    2.4889192944770691, 2.5006291163204919, 2.5124142124174536, 2.5242753382453844,
    2.5362132589296147, 2.548228749403588, 2.5603225945721397, 2.5724955894779789,
    2.5847485394713772, 2.5970822603831998, 2.6094975787013177, 2.6219953317504947,
    2.6345763678758432, 2.6472415466299259, 2.6599917389635586, 2.6728278274204653,
    2.6857507063358272, 2.6987612820388347, 2.7118604730593523, 2.7250492103387618,
    2.7383284374451318, 2.7516991107927811, 2.7651621998663485, 2.7787186874495133,
    2.7923695698584163, 2.806115857179972, 2.8199585735151369, 2.8338987572272671,
    2.8479374611957291, 2.8620757530748433, 2.876314715558312, 2.8906554466493084,
    2.9050990599362874, 2.9196466848747571, 2.9342994670750788, 2.9490585685965121,
    2.9639251682476231, 2.9789004618932453, 2.9939856627681443, 3.0091820017975563,
    3.0244907279248241, 3.039913108446231, 3.0554504293533045, 3.0711039956827362,
    3.0868751318741365, 3.1027651821358164, 3.1187755108188275, 3.1349075027994751,
    3.1511625638705083, 3.167542121141262, 3.1840476234469395, 3.200680541767329,
    3.2174423696551839, 3.2343346236745445, 3.2513588438492285, 3.268516594121869,
    3.2858094628236434, 3.30323906315515, 3.3208070336786011, 3.3385150388217362,
    3.3563647693937448, 3.3743579431135635, 3.3924963051508419, 3.4107816286799992,
    3.4292157154477128, 3.4478003963542001, 3.4665375320487546, 3.4854290135398411,
    3.5044767628203051, 3.5236827335080001, 3.543048911502372, 3.5625773156574359,
    3.5822699984716109, 3.6021290467949494, 3.6221565825542243, 3.6423547634964737,
    3.662725783951454, 3.6832718756136789, 3.7039953083445623, 3.72489839099527,
    3.7459834722509764, 3.767252941497079, 3.7887092297081364, 3.810354810360185,
    3.8321922003671345, 3.8542239610420288, 3.8764526990839587, 3.8988810675913612,
    3.9215117671026043, 3.9443475466646918, 3.967391204930979, 3.9906455912888203,
    4.0141136070181247, 4.0377982064818072, 4.0617023983491425, 4.085829246853117,
    4.1101818730829232, 4.1347634563126325, 4.1595772353673635, 4.1846265100281359,
    4.2099146424766714, 4.2354450587815151, 4.2612212504268534, 4.2872467758854658,
    4.3135252622372908, 4.3400604068351933, 4.36685597901955, 4.3939158218832546,
    4.4212438540890187, 4.4488440717406723, 4.4767205503103789, 4.5048774466237909,
    4.533319000905089, 4.562049538884108, 4.5910734739677075, 4.6203953094777557,
    4.6500196409580372, 4.6799511585526634, 4.7101946494585158, 4.7407550004545209,
    4.7716372005104626, 4.8028463434783797, 4.834387630869557, 4.8662663747203609,
    4.8984880005501878, 4.9310580504150288, 4.9639821860603703, 4.9972661921770847,
    5.0309159797643517, 5.0649375896037272, 5.099337195848693, 5.1341211097341368,
    5.1692957834105862, 5.2048678139079776, 5.2408439472342359, 5.2772310826139819,
    5.3140362768730371, 5.3512667489745676, 5.388929884713086, 5.4270332415727722,
    5.4655845537567913, 5.504591737394823, 5.5440628959360865, 5.5840063257356913,
    5.6244305218425668, 5.6653441839972247, 5.7067562228487194, 5.7486757663998347,
    5.7911121666905805, 5.8340750067303269, 5.8775741076893606, 5.921619536361411,
    5.9662216129090337, 6.0113909189045946, 6.0571383056800228, 6.1034749029992428,
    6.1504121280681412, 6.1979616948973311, 6.2461356240340615, 6.2949462526803979,
    6.3444062452157102, 6.3945286041423435, 6.4453266814748584, 6.4968141905935211,
    6.5490052185847238, 6.6019142390916032, 6.6555561256999427, 6.7099461658852624,
    6.7651000755491282, 6.8210340141738852, 6.8777646006265618, 6.9353089296452168,
    6.9936845890417265, 7.0529096776582954, 7.1130028241162968, 7.1739832063986304,
    7.2358705723092243, 7.2986852608561721, 7.3624482246072436, 7.4271810530703863,
    7.4929059971539536, 7.5596459947659165, 7.6274246976145594, 7.696266499276553,
    7.7661965646036935, 7.8372408605432975, 7.9094261884523052, 7.9827802179902774,
    8.057331522682869, 8.1331096172519448, 8.2101449968167639, 8.2884691780758111,
    8.36811474258832, 8.449115382281013, 8.5315059473152122, 8.6153224964589636,
    8.7006023501183805, 8.7873841461944728, 8.8757078989422578, 8.9656150610234864,
    9.0571485889566823, 9.1503530121847962, 9.2452745059956438, 9.3419609685497029,
    9.4404621022878281, 9.5408295000132046, 9.6431167359644565, 9.747379462221712,
    9.8536755108143375, 9.9620650019288846, 10.07261045864785, 10.185376928684684,
    10.300432113619552, 10.417846506181906, 10.537693536171796, 10.660049725663367,
    10.784994854187845, 10.912612134655106, 11.042988400839528, 11.176214307329227,
    11.312384542918782, 11.451598058515177, 11.593958310724052, 11.739573522394469,
    11.888556961518754, 12.041027240018563, 12.197108634096278, 12.356931427994708,
    12.520632283191446, 12.688354635257731, 12.860249120836796, 13.036474037452619,
    13.217195839138856, 13.402589671199353, 13.592839947760735, 13.788140976180916,
    13.988697632821131, 14.194726095196206, 14.406454636084385, 14.62412448582165,
    14.847990769731348, 15.078323528464125, 15.315408829960315, 15.559549982810109,
    15.811068861999521, 16.070307359419822, 16.337628973102085, 16.613420550957478,
    16.898094206898907, 17.192089429623856, 17.495875407123822, 17.809953593205709,
    18.134860546040038, 18.471171073099654, 18.81950172192095, 19.180514662037439,
    19.554922010387493, 19.943490660670346, 20.347047686757524, 20.766486401681011,
    21.202773167264255, 21.656955065582011, 22.130168562754207, 22.623649318698988,
    23.138743324378247, 23.676919581788148, 24.239784582908918, 24.829098893810194,
    25.446796211337279, 26.095005335229637, 26.776075591836452, 27.49260636173392,
    28.247481508817057, 29.04390969126413, 29.885471766311106, 30.776176795782142,
    31.720528538038955, 32.723604801461761, 33.79115267229097, 34.929703467240685,
    36.146712371108258, 37.45072920398578, 38.85160876773044, 40.360771959185968,
    41.991532618761255, 43.759510370688062, 45.683157204565227, 47.784436322765842,
    50.089707517923976, 52.630896736552756, 55.447062913121904, 58.586529946094153,
    62.109838391899117, 66.093912242107947, 70.638071454384061, 75.87292721254444,
    81.973925024859426, 89.182662677056456, 97.841787512284569, 108.45486034785988,
    121.79506730206097, 139.11715780893738, 162.61005656738854, 196.48889564978134,
    250.12904243484229, 349.8763194670085, 614.16866182007311, NaN,
    NaN
  ), lr_neg = c(
    NaN, NaN, 0.30636330812856638, 0.29336533600416548,
    0.28857442951280543, 0.28651033929387093, 0.28572122332450894,
    0.28563552058505681, 0.28597828152754978, 0.28659975999058229,
    0.28741115478454093, 0.28835643053855081, 0.28939851370155761,
    0.29051194620721477, 0.29167871501764753, 0.29288575860060823,
    0.29412341118080337, 0.29538439687631929, 0.29666315938509163,
    0.29795540351242766, 0.29925777442380952, 0.30056762876066517,
    0.30188286842573647, 0.3032018179854033, 0.30452313297538208,
    0.30584573045582875, 0.3071687358188615, 0.30849144162480896,
    0.30981327544830189, 0.31113377454719537, 0.31245256575031077,
    0.31376934937412287, 0.3150838862764459, 0.31639598737198465,
    0.31770550509410506, 0.31901232640568761, 0.32031636705079169,
    0.32161756680610221, 0.32291588554238937, 0.32421129994565195,
    0.3255038007780891, 0.32679339058284324, 0.32808008175509351,
    0.32936389491679402, 0.33064485754402501, 0.3319230028052455,
    0.33319836857619722, 0.33447099660323537, 0.33574093179173081,
    0.33700822160015093, 0.33827291552365907, 0.33953506465372596,
    0.34079472130242577, 0.34205193868189265, 0.34330677063090137,
    0.3445592713817841, 0.34580949536192274, 0.34705749702492389,
    0.34830333070731478, 0.34954705050719759, 0.35078871018182617,
    0.35202836306149954, 0.35326606197753396, 0.35450185920239069,
    0.35573580640030594, 0.35696795458699182, 0.35819835409717565,
    0.35942705455891122, 0.36065410487373795, 0.3618795532018842,
    0.363103446951825, 0.36432583277358499, 0.36554675655526486,
    0.36676626342233509, 0.36798439773929498, 0.36920120311335775,
    0.37041672239985429, 0.37163099770909452, 0.37284407041445849,
    0.3740559811615134, 0.37526676987798874, 0.37647647578445054,
    0.37768513740554849, 0.37889279258171527, 0.38009947848122277,
    0.3813052316125054, 0.38251008783667534, 0.38371408238016336,
    0.38491724984743042, 0.38611962423369978, 0.38732123893766601,
    0.38852212677414938, 0.38972231998665663, 0.39092185025983173,
    0.39212074873176528, 0.39331904600614942, 0.39451677216425868,
    0.39571395677674881, 0.39691062891525603, 0.39810681716379526,
    0.39930254962994416, 0.40049785395581544, 0.40169275732880383,
    0.40288728649211603, 0.40408146775507137, 0.4052753270031853,
    0.40646888970802009, 0.40766218093682077, 0.40885522536192315,
    0.41004804726994659, 0.41124067057076619, 0.41243311880627392,
    0.41362541515892542, 0.41481758246008132, 0.41600964319814365,
    0.41720161952649087, 0.4183935332712172, 0.4195854059386791,
    0.42077725872285243, 0.42196911251250668, 0.42316098789819578,
    0.42435290517907631, 0.42554488436955124, 0.42673694520574573,
    0.42792910715181931, 0.42912138940611938, 0.4303138109071773,
    0.43150639033955168, 0.43269914613952754, 0.43389209650066674,
    0.43508525937922171, 0.43627865249940934, 0.43747229335855486,
    0.43866619923210376, 0.4398603871785095, 0.4410548740439969,
    0.44224967646720781, 0.44344481088373006, 0.44464029353051282,
    0.44583614045017372, 0.44703236749519737, 0.44822899033203173,
    0.44942602444508223, 0.45062348514060807, 0.45182138755052226,
    0.45301974663610084, 0.45421857719159947, 0.45541789384778247,
    0.45661771107536775, 0.45781804318838765, 0.45901890434746856,
    0.46022030856303281, 0.46142226969842354, 0.46262480147295565,
    0.4638279174648936, 0.46503163111435974, 0.46623595572617349,
    0.46744090447262487, 0.46864649039618173, 0.46985272641213521,
    0.47105962531118378, 0.47226719976195652, 0.47347546231348026,
    0.47468442539758765, 0.47589410133127247, 0.47710450231899049,
    0.47831564045490821, 0.47952752772510027, 0.48074017600969932,
    0.48195359708499524, 0.48316780262549042, 0.48438280420590629,
    0.48559861330314835, 0.48681524129822634, 0.48803269947813221,
    0.4892509990376776, 0.49047015108129188, 0.49169016662478032,
    0.49291105659704415, 0.4941328318417646, 0.49535550311905002,
    0.49657908110704907, 0.49780357640352824, 0.49902899952741697,
    0.50025536092031975, 0.50148267094799726, 0.50271093990181548,
    0.50394017800016588, 0.50517039538985509, 0.50640160214746688,
    0.50763380828069538, 0.50886702372965176, 0.51010125836814335,
    0.51133652200492841, 0.51257282438494323, 0.51381017519050731,
    0.51504858404250131, 0.51628806050152498, 0.51752861406902895,
    0.51877025418842548, 0.52001299024617809, 0.52125683157286817,
    0.52250178744424225, 0.5237478670822372, 0.52499507965598757,
    0.52624343428281217, 0.52749294002918157, 0.5287436059116678,
    0.52999544089787509, 0.53124845390735476, 0.53250265381249973,
    0.53375804943942518, 0.5350146495688306, 0.53627246293684738,
    0.53753149823586888, 0.53879176411536633, 0.5400532691826897,
    0.5413160220038532, 0.54258003110430597, 0.5438453049696903,
    0.54511185204658474, 0.54637968074323429, 0.5476487994302669,
    0.54891921644139752, 0.55019094007411995, 0.55146397859038521,
    0.55273834021726898, 0.55401403314762687, 0.55529106554073693,
    0.55656944552293364, 0.55784918118822824, 0.55913028059891867,
    0.56041275178619032, 0.56169660275070521, 0.56298184146318087,
    0.56426847586496021, 0.56555651386857031, 0.56684596335827386,
    0.5681368321906084, 0.56942912819491887, 0.57072285917387933,
    0.57201803290400799, 0.57331465713617136, 0.57461273959608139,
    0.57591228798478422, 0.57721330997914044, 0.57851581323229762,
    0.57981980537415523, 0.58112529401182134, 0.58243228673006264,
    0.58374079109174726, 0.58505081463827879, 0.58636236489002536,
    0.58767544934674076, 0.58899007548797866, 0.59030625077350052,
    0.5916239826436771, 0.5929432785198836, 0.59426414580488773,
    0.59558659188323326, 0.59691062412161533, 0.59823624986925261,
    0.59956347645825103, 0.60089231120396314, 0.60222276140534192,
    0.60355483434528912, 0.60488853729099756, 0.60622387749428852,
    0.60756086219194438, 0.60889949860603565, 0.61023979394424344,
    0.61158175540017601, 0.61292539015368208, 0.61427070537115802,
    0.6156177082058516, 0.61696640579815965, 0.6183168052759227,
    0.61966891375471478, 0.62102273833812849, 0.62237828611805623,
    0.62373556417496667, 0.62509457957817849, 0.62645533938612863,
    0.62781785064663709, 0.62918212039716781, 0.63054815566508626,
    0.6319159634679129, 0.63328555081357218, 0.6346569247006385,
    0.63603009211858008, 0.63740506004799669, 0.63878183546085521,
    0.64016042532072237, 0.6415408365829931, 0.64292307619511668,
    0.6443071510968178, 0.64569306822031702, 0.64708083449054588,
    0.64847045682536042, 0.64986194213575055, 0.65125529732604737,
    0.65265052929412692, 0.65404764493161183, 0.6554466511240693,
    0.65684755475120571, 0.65825036268706127, 0.65965508180019905,
    0.66106171895389221, 0.662470281006309, 0.66388077481069574,
    0.66529320721555585, 0.66670758506482708, 0.66812391519805636,
    0.66954220445057289, 0.67096245965365731, 0.67238468763470993,
    0.67380889521741538, 0.67523508922190711, 0.67666327646492708,
    0.67809346375998514, 0.67952565791751507, 0.68095986574502998,
    0.68239609404727364, 0.68383434962637157, 0.68527463928197874,
    0.68671696981142683, 0.68816134800986772, 0.68960778067041639,
    0.69105627458429097, 0.69250683654095235, 0.69395947332824071,
    0.69541419173251007, 0.69687099853876222, 0.69832990053077826,
    0.69979090449124826, 0.70125401720190006, 0.70271924544362507,
    0.70418659599660338, 0.70565607564042798, 0.7071276911542258,
    0.70860144931677771, 0.71007735690663842, 0.71155542070225308,
    0.71303564748207338, 0.71451804402467189, 0.71600261710885549,
    0.71748937351377728, 0.71897832001904627, 0.72046946340483764,
    0.7219628104519995, 0.72345836794216134, 0.72495614265783725,
    0.72645614138253245, 0.72795837090084514, 0.72946283799856926,
    0.73096954946279535, 0.73247851208201098, 0.73398973264619938,
    0.73550321794693774, 0.73701897477749423, 0.73853700993292459,
    0.74005733021016773, 0.74157994240813974, 0.74310485332782839,
    0.74463206977238605, 0.74616159854722175, 0.74769344646009417,
    0.74922762032120138, 0.75076412694327244, 0.75230297314165728,
    0.75384416573441693, 0.75538771154241147, 0.75693361738938991,
    0.758481890102079, 0.76003253651027103, 0.76158556344691231,
    0.76314097774819034, 0.76469878625362309, 0.7662589958061462,
    0.76782161325220089, 0.769386645441822, 0.77095409922872682,
    0.77252398147040302, 0.7740962990281981, 0.77567105876740827,
    0.77724826755736875, 0.77882793227154423, 0.78041005978761957,
    0.78199465698759218, 0.78358173075786475, 0.78517128798933999,
    0.78676333557751388, 0.78835788042257371, 0.78995492942949441,
    0.79155448950813945, 0.79315656757335906, 0.79476117054509521,
    0.7963683053484848, 0.79797797891396693, 0.79959019817739119,
    0.80120497008012925, 0.80282230156918943, 0.80444219959733254,
    0.80606467112319224, 0.80768972311139808, 0.80931736253270259,
    0.81094759636411085, 0.81258043158901505, 0.81421587519733385,
    0.81585393418565533, 0.81749461555738445, 0.81913792632289761,
    0.8207838734997005, 0.82243246411259396, 0.82408370519384444,
    0.82573760378336281, 0.82739416692888867, 0.82905340168618369,
    0.83071531511923258, 0.83237991430045299, 0.83404720631091445,
    0.83571719824056667, 0.83738989718848023, 0.83906531026309572,
    0.84074344458248718, 0.8424243072746378, 0.84410790547772752,
    0.84579424634043732, 0.84748333702226764, 0.84917518469387376,
    0.85086979653741857, 0.8525671797469434, 0.85426734152875994,
    0.85597028910186379, 0.85767602969836843, 0.85938457056396655,
    0.86109591895841553, 0.86281008215605082, 0.86452706744633134,
    0.86624688213441292, 0.86796953354175987, 0.86969502900679097,
    0.87142337588556507, 0.87315458155251024, 0.87488865340119604,
    0.87662559884515645, 0.87836542531876505, 0.88010814027816542,
    0.88185375120226295, 0.88360226559378352, 0.88535369098040029,
    0.88710803491593926, 0.88886530498166649, 0.89062550878766356,
    0.89238865397430212, 0.89415474821382124, 0.8959237992120197,
    0.89769581471007132, 0.89947080248647626, 0.90124877035915674,
    0.90302972618771449, 0.90481367787586209, 0.90660063337404539,
    0.90839060068227462, 0.91018358785318598, 0.9119796029953533,
    0.9137786542768791, 0.91558074992929017, 0.91738589825177019,
    0.91919410761576692, 0.92100538647001218, 0.92281974334600192,
    0.92463718686398877, 0.92645772573954432, 0.92828136879076073,
    0.93010812494616935, 0.93193800325346221, 0.93377101288912279,
    0.93560716316908266, 0.93744646356054107, 0.93928892369511052,
    0.94113455338347296, 0.94298336263177085, 0.94483536165999271,
    0.94669056092266257, 0.94854897113220671, 0.95041060328544014,
    0.95227546869371049, 0.95414357901735647, 0.95601494630527861,
    0.95788958304061456, 0.95976750219374951, 0.96164871728421064,
    0.96353324245340688, 0.96542109255073427, 0.9673122832363088,
    0.96920683110462647, 0.97110475383486783, 0.9730060703756126,
    0.97491080117466045, 0.97681896846903671, 0.9787305966568961,
    0.98064571278348434, 0.9825643471902451, 0.98448653440484979,
    0.98641231440089083, 0.98834173445215634, 0.99027485200188514,
    0.99221173940487462, 0.9941524925152051, 0.99609724852520865,
    0.99804623294731343, 1, 1
  ), youden = c(
    1, 1, 1.0044307210422965,
    1.0094274716939247, 1.0144734471497678, 1.0194933498090266, 1.0244610079876548,
    1.0293655397913963, 1.0342023155705522, 1.0389696509280195, 1.0436673673191279,
    1.0482960917956901, 1.0528568892384893, 1.0573510584375778, 1.0617800146041969,
    1.0661452199233414, 1.0704481419194454, 1.0746902284462514, 1.078872892861096,
    1.0829975055540413, 1.0870653894920832, 1.0910778183166252, 1.0950360160641135,
    1.0989411579093797, 1.1027943715397337, 1.1065967389020241, 1.110349298152471,
    1.1140530456969664, 1.1177089382481817, 1.1213178948517963, 1.124880798851726,
    1.1283984997761449, 1.1318718151341558, 1.135301532118411, 1.1386884092126344,
    1.1420331777053885, 1.1453365431129841, 1.1485991865153686, 1.1518217658093717,
    1.1550049168839418, 1.1581492547220806, 1.1612553744341134, 1.1643238522267958,
    1.167355246312558, 1.1703500977629762, 1.1733089313102969, 1.1762322561006262,
    1.1791205664021287, 1.1819743422713698, 1.1847940501806931, 1.1875801436093274,
    1.190333063600709, 1.1930532392883304, 1.1957410883922395, 1.1983970176881695,
    1.2010214234511158, 1.2036146918750537, 1.206177199470353, 1.2087093134403366,
    1.2112113920383192, 1.213683784906366, 1.2161268333969213, 1.2185408708783667,
    1.2209262230255045, 1.2232832080958753, 1.2256121371927722, 1.2279133145157322,
    1.2301870375992536, 1.2324335975404168, 1.2346532792160534, 1.236846361490056,
    1.2390131174113876, 1.2411538144033067, 1.2432687144442958, 1.2453580742411443,
    1.2474221453946108, 1.2494611745580586, 1.2514754035894438, 1.2534650696969942,
    1.2554304055789123, 1.2573716395574062, 1.2592889957073401, 1.2611826939797672,
    1.263052950320608, 1.2648999767847062, 1.2667239816454929, 1.2685251695004667,
    1.2703037413726921, 1.2720598948085047, 1.2737938239715989, 1.2755057197336712,
    1.2771957697617669, 1.2788641586024949, 1.2805110677632401, 1.2821366757905124,
    1.2837411583455578, 1.2853246882773561, 1.2868874356931104, 1.2884295680263453,
    1.2899512501027091, 1.2914526442035832, 1.2929339101275845, 1.2943952052500545,
    1.2958366845806131, 1.29725850081886, 1.298660804408295, 1.3000437435885355,
    1.3014074644458877, 1.3027521109623503, 1.3040778250631004, 1.3053847466625292,
    1.3066730137088762, 1.3079427622275208, 1.3091941263629825, 1.3104272384196713,
    1.3116422289014458, 1.3128392265500113, 1.3140183583822131, 1.3151797497262534,
    1.3163235242568785, 1.3174498040295715, 1.3185587095137838, 1.3196503596252431,
    1.3207248717573656, 1.3217823618118092, 1.3228229442281922, 1.3238467320130105,
    1.3248538367677771, 1.3258443687164119, 1.3268184367319087, 1.327776148362299,
    1.328717609855941, 1.3296429261861524, 1.3305522010752096, 1.3314455370177349,
    1.3323230353034901, 1.3331847960395944, 1.3340309181721897, 1.3348614995075643,
    1.3356766367327564, 1.3364764254356527, 1.3372609601245973, 1.3380303342475244,
    1.3387846402106347, 1.3395239693966223, 1.3402484121824689, 1.3409580579568221,
    1.3416529951369627, 1.3423333111853779, 1.342999092625953, 1.343650425059788,
    1.3442873931806545, 1.3449100807901018, 1.3455185708122199, 1.3461129453080751,
    1.3466932854898197, 1.3472596717344913, 1.3478121835975081, 1.3483508998258673,
    1.348875898371058, 1.3493872564016924, 1.3498850503158684, 1.3503693557532639,
    1.3508402476069765, 1.351297800035113, 1.3517420864721337, 1.3521731796399594,
    1.3525911515588511, 1.3529960735580584, 1.3533880162862562, 1.3537670497217618,
    1.3541332431825492, 1.3544866653360581, 1.354827384208805, 1.3551554671958064,
    1.3554709810698091, 1.355773991990342, 1.3560645655125869, 1.3563427665960797,
    1.3566086596132361, 1.3568623083577187, 1.3571037760526385, 1.3573331253586005,
    1.3575504183815967, 1.3577557166807483, 1.3579490812759025, 1.3581305726550865,
    1.3583002507818218, 1.3584581751023039, 1.358604404552447, 1.3587389975648021,
    1.3588620120753452, 1.3589735055301451, 1.3590735348919076, 1.3591621566464034,
    1.3592394268087791, 1.3593054009297583, 1.3593601341017285, 1.3594036809647241,
    1.3594360957123015, 1.359457432097313, 1.3594677434375777, 1.3594670826214581,
    1.359455502113335, 1.3594330539589936, 1.3593997897909125, 1.3593557608334677,
    1.3593010179080431, 1.3592356114380602, 1.3591595914539174, 1.3590730075978532,
    1.3589759091287221, 1.3588683449266967, 1.3587503634978879, 1.3586220129788935,
    1.3584833411412687, 1.3583343953959246, 1.3581752227974584, 1.3580058700484106,
    1.3578263835034536, 1.3576368091735165, 1.3574371927298405, 1.3572275795079731,
    1.3570080145116976, 1.3567785424169005, 1.3565392075753793, 1.3562900540185918,
    1.3560311254613446, 1.3557624653054283, 1.3554841166431921, 1.3551961222610687,
    1.3548985246430409, 1.3545913659740596, 1.3542746881434065, 1.3539485327480092,
    1.3536129410957032, 1.3532679542084496, 1.3529136128255006, 1.3525499574065203,
    1.3521770281346597, 1.3517948649195857, 1.3514035074004649, 1.3510029949489064,
    1.3505933666718599, 1.3501746614144721, 1.3497469177629022, 1.3493101740470981,
    1.34886446834353, 1.3484098384778895, 1.3479463220277452, 1.3474739563251652,
    1.3469927784593012, 1.3465028252789346, 1.3460041333949904, 1.3454967391830128,
    1.34498067878561, 1.344455988114861, 1.3439227028546936, 1.3433808584632274,
    1.3428304901750845, 1.342271633003671, 1.3417043217434244, 1.341128590972035,
    1.3405444750526327, 1.3399520081359482, 1.3393512241624426, 1.3387421568644124,
    1.3381248397680616, 1.3374993061955509, 1.3368655892670178, 1.3362237219025705,
    1.335573736824256, 1.3349156665580026, 1.3342495434355373, 1.3335753995962785,
    1.332893266989204, 1.3322031773746952, 1.3315051623263578, 1.3307992532328203,
    1.3300854812995067, 1.3293638775503918, 1.3286344728297284, 1.3278972978037582,
    1.3271523829623983, 1.3263997586209071, 1.32563945492153, 1.3248715018351245,
    1.3240959291627659, 1.3233127665373319, 1.3225220434250695, 1.3217237891271405,
    1.3209180327811509, 1.3201048033626606, 1.3192841296866729, 1.3184560404091099,
    1.317620564028267, 1.3167777288862517, 1.3159275631704039, 1.3150700949147018,
    1.3142053520011472, 1.3133333621611385, 1.3124541529768257, 1.311567751882448,
    1.3106741861656588, 1.3097734829688339, 1.3088656692903631, 1.3079507719859294,
    1.3070288177697711, 1.3060998332159313, 1.3051638447594918, 1.3042208786977927,
    1.30327096119164, 1.3023141182664966, 1.3013503758136624, 1.300379759591439,
    1.2994022952262834, 1.2984180082139463, 1.2974269239205993, 1.2964290675839496,
    1.2954244643143413, 1.2944131390958447, 1.2933951167873339, 1.2923704221235526,
    1.2913390797161672, 1.2903011140548095, 1.2892565495081074, 1.2882054103247031,
    1.2871477206342632, 1.2860835044484751, 1.2850127856620335, 1.2839355880536156,
    1.2828519352868468, 1.2817618509112563, 1.2806653583632195, 1.2795624809668946,
    1.2784532419351446, 1.2773376643704533, 1.2762157712658293, 1.2750875855057011,
    1.2739531298668019, 1.272812427019046, 1.2716654995263954, 1.2705123698477174,
    1.2693530603376317, 1.2681875932473516, 1.2670159907255127, 1.2658382748189958,
    1.264654467473739, 1.2634645905355426, 1.2622686657508648, 1.2610667147676087,
    1.2598587591359021, 1.258644820308868, 1.257424919643388, 1.2561990784008557,
    1.254967317747925, 1.2537296587572477, 1.2524861224082051, 1.2512367295876303,
    1.249981501090526, 1.2487204576207691, 1.247453619791814, 1.2461810081273841,
    1.244902643062157, 1.2436185449424428, 1.2423287340268563, 1.2410332304869776,
    1.2397320544080106, 1.2384252257894313, 1.2371127645456295, 1.2357946905065444,
    1.2344710234182918, 1.2331417829437852, 1.2318069886633485, 1.2304666600753249,
    1.2291208165966749, 1.2277694775635708, 1.2264126622319818, 1.225050389778253,
    1.2236826792996789, 1.2223095498150685, 1.2209310202653034, 1.2195471095138903,
    1.2181578363475056, 1.2167632194765337, 1.215363277535598, 1.2139580290840852,
    1.2125474926066631, 1.2111316865137904, 1.2097106291422208, 1.2082843387554987,
    1.2068528335444493, 1.2054161316276599, 1.2039742510519567, 1.2025272097928688,
    1.201075025755094, 1.1996177167729472, 1.1981553006108077, 1.1966877949635581,
    1.1952152174570128, 1.1937375856483412, 1.1922549170264825, 1.1907672290125508,
    1.1892745389602355, 1.1877768641561883, 1.1862742218204063, 1.1847666291066041,
    1.1832541031025769, 1.1817366608305548, 1.1802143192475483, 1.1786870952456825,
    1.1771550056525237, 1.1756180672313941, 1.1740762966816756, 1.172529710639105,
    1.1709783256760555, 1.1694221583018085, 1.1678612249628124, 1.1662955420429291,
    1.1647251258636684, 1.1631499926844073, 1.1615701587025982, 1.1599856400539597,
    1.1583964528126538, 1.1568026129914479, 1.1552041365418586, 1.1536010393542804,
    1.1519933372580946, 1.1503810460217598, 1.1487641813528842, 1.1471427588982741,
    1.1455167942439635, 1.1438863029152186, 1.1422513003765187, 1.1406118020315121,
    1.1389678232229437, 1.1373193792325542, 1.1356664852809508, 1.1340091565274431,
    1.1323474080698457, 1.1306812549442464, 1.1290107121247335, 1.1273357945230826,
    1.125656516988401, 1.123972894306724, 1.1222849412005624, 1.1205926723283957,
    1.1188961022841086, 1.1171952455963683, 1.1154901167279319, 1.1137807300748883,
    1.1120670999658211, 1.1103492406608897, 1.1086271663508254, 1.1069008911558291,
    1.1051704291243682, 1.1034357942318616, 1.1016970003792448, 1.0999540613914027,
    1.0982069910154628, 1.0964558029189304, 1.0947005106876582, 1.0929411278236281,
    1.0911776677425351, 1.089410143771147, 1.0876385691444246, 1.0858629570023726,
    1.0840833203865992, 1.0822996722365508, 1.0805120253853884, 1.0787203925554671,
    1.0769247863533753, 1.0751252192644822, 1.0733217036469394, 1.0715142517250686,
    1.0697028755820639, 1.067887587151922, 1.066068398210501, 1.0642453203655959,
    1.0624183650458954, 1.0605875434886689, 1.0587528667259973, 1.0569143455693404,
    1.0550719905921819, 1.0532258121104592, 1.0513758201604106, 1.0495220244734182,
    1.0476644344473174, 1.0458030591135425, 1.0439379070993264, 1.0420689865839965,
    1.0401963052481618, 1.0383198702142882, 1.0364396879767441, 1.0345557643188585,
    1.0326681042138011, 1.0307767117050817, 1.0288815897610613, 1.026982740095872,
    1.0250801629462349, 1.0231738567893722, 1.0212638179806417, 1.0193500402792397,
    1.0174325142135636, 1.015511226209483, 1.0135861573542995, 1.0116572815739022,
    1.0097245628067317, 1.007787950323862, 1.0058473702364801, 1.00390270781663,
    1.0019537608273299, 1, 1
  ), closest.topleft = c(
    1, 1, 0.98726929553784371,
    0.97351057857847734, 0.95975977958582082, 0.94616544196435937,
    0.93277702442373811, 0.91961322535069245, 0.90668026165222926,
    0.89397855620461208, 0.88150564259267084, 0.86925757207804855,
    0.85722964716818517, 0.84541682386883432, 0.83381393966656903,
    0.82241584507735643, 0.811217479719476, 0.8002139155196264, 0.78940038002498947,
    0.77877226750347228, 0.7683251424995845, 0.75805473874081408,
    0.74795695521906247, 0.73802785061074905, 0.72826363678319861,
    0.71866067186889837, 0.70921545321689461, 0.69992461041777077,
    0.69078489852429326, 0.68179319154052731, 0.67294647621957038,
    0.66424184618843662, 0.65567649640445691, 0.64724771793842695,
    0.63895289307397529, 0.63078949070918722, 0.62275506204462772,
    0.61484723654107176, 0.6070637181301094, 0.59940228166109211,
    0.59186076956847966, 0.58443708874441491, 0.57712920760221986,
    0.56993515331738098, 0.56285300923350701, 0.55588091242162074,
    0.54901705138198831, 0.54225966387849278, 0.53560703489631023,
    0.5290574947143567, 0.52260941708462538, 0.51626121751113707,
    0.51001135162179023, 0.50385831362691058, 0.49780063485877213,
    0.49183688238680612, 0.48596565770360034, 0.48018559547716871,
    0.4744953623653132, 0.46889365588819121, 0.46337920335550936,
    0.4579507608449998, 0.4526071122291061, 0.44734706824699355,
    0.44216946561922621, 0.43707316620262476, 0.43205705618300244,
    0.42712004530362213, 0.42226106612737302, 0.41747907333079626,
    0.41277304302821455, 0.40814197212433184, 0.40358487769377976,
    0.39910079638618162, 0.39468878385540185, 0.39034791421172371,
    0.38607727949578496, 0.38187598917316667, 0.37774316964860333,
    0.37367796379884372, 0.36967953052324248, 0.36574704431122923,
    0.36187969482584431, 0.35807668650257468, 0.35433723816277929,
    0.35066058264101591, 0.3470459664256399, 0.3434926493120638,
    0.33999990406811126, 0.33656701611092177, 0.3331932831948996,
    0.32987801511022441, 0.32662053339146069, 0.32342017103583848,
    0.32027627223079247, 0.31718819209037064, 0.31415529640014006,
    0.3111769613702432, 0.3082525733962676, 0.3053815288276161, 0.30256323374307242,
    0.29979710373327739, 0.29708256368984415, 0.29441904760085358,
    0.29180599835247784, 0.28924286753650341, 0.28672911526352307,
    0.28426420998158919, 0.28184762830011545, 0.27947885481884155,
    0.27715738196166684, 0.27488270981518148, 0.27265434597172034,
    0.27047180537677873, 0.26833461018063731, 0.266242289594044,
    0.26419437974781246, 0.26219042355620037, 0.26022997058393854,
    0.25831257691678483, 0.25643780503548286, 0.25460522369301208,
    0.2528144077950179, 0.25106493828331872, 0.24935640202238482,
    0.24768839168869566, 0.2460605056628796, 0.24447234792454883,
    0.24292352794974181, 0.24141366061088909, 0.23994236607922809,
    0.23850926972958358, 0.23711400204744676, 0.23575619853827598,
    0.23443549963895738, 0.23315155063135429, 0.23190400155788579,
    0.23069250713907166, 0.22951672669298712, 0.22837632405656835,
    0.22727096750871684, 0.22620032969514789, 0.22516408755493533,
    0.22416192224870019, 0.22319351908839954, 0.22225856746866843,
    0.22135676079967065, 0.22048779644141686, 0.21965137563950932,
    0.2188472034622726, 0.21807498873923292, 0.21733444400090962,
    0.21662528541988157, 0.2159472327530958, 0.21530000928538334,
    0.21468334177415205, 0.21409696039522291, 0.21354059868978142,
    0.21301399351241351, 0.21251688498019927, 0.21204901642283544,
    0.21161013433376091, 0.21119998832226025, 0.21081833106651859,
    0.21046491826760563, 0.21013950860436426, 0.20984186368918137,
    0.20957174802461884, 0.20932892896088467, 0.20911317665412046,
    0.20892426402548922, 0.20876196672104086, 0.20862606307233827,
    0.20851633405782516, 0.20843256326491727, 0.20837453685280111,
    0.20834204351592273, 0.20833487444814941, 0.20835282330759006,
    0.20839568618205789, 0.20846326155516093, 0.20855535027300592,
    0.20867175551150091, 0.20881228274424374, 0.20897673971098263,
    0.2091649363866358, 0.20937668495085776, 0.20961179975814048,
    0.20987009730843642, 0.21015139621829326, 0.21045551719248728,
    0.21078228299614671, 0.21113151842735212, 0.21150305029020516,
    0.21189670736835431, 0.21231232039896902, 0.21274972204715115,
    0.21320874688077612, 0.21368923134575302, 0.21419101374169583,
    0.21471393419799722, 0.21525783465029563, 0.21582255881732801,
    0.21640795217816056, 0.21701386194978911, 0.21764013706510177,
    0.21828662815119598, 0.21895318750804424, 0.21963966908749899,
    0.22034592847263282, 0.22107182285740426, 0.2218172110266452,
    0.22258195333636122, 0.22336591169434131, 0.22416894954106809,
    0.22499093183092447, 0.22583172501369073, 0.22669119701632556,
    0.22756921722502613, 0.22846565646756198, 0.22938038699587709,
    0.23031328246895527, 0.23126421793594351, 0.23223306981952835,
    0.23321971589956164, 0.23422403529692931, 0.23524590845765958,
    0.23628521713726608, 0.23734184438532085, 0.23841567453025497,
    0.23950659316437928, 0.24061448712912381, 0.24173924450049189,
    0.24288075457472311, 0.24403890785416299, 0.24521359603333542,
    0.24640471198521308, 0.24761214974768458, 0.24883580451021187,
    0.25007557260067692, 0.2513313514724132, 0.25260303969141906,
    0.25389053692374963, 0.25519374392308392, 0.25651256251846483,
    0.25784689560220808, 0.25919664711797813, 0.260561722049027,
    0.26194202640659414, 0.26333746721846518, 0.26474795251768446,
    0.26617339133142159, 0.267613693669987, 0.26906877051599648,
    0.27053853381367937, 0.27202289645833017, 0.27352177228590036,
    0.27503507606272803, 0.27656272347540362, 0.27810463112076816,
    0.27966071649604324, 0.28123089798909101, 0.28281509486879952,
    0.28441322727559337, 0.28602521621206833, 0.28765098353374596,
    0.28929045193994696, 0.29094354496478192, 0.29261018696825714,
    0.29429030312749427, 0.29598381942806085, 0.29769066265541039,
    0.299410760386431, 0.30114404098110081, 0.30289043357424689,
    0.30464986806740757, 0.30642227512079689, 0.30820758614536803,
    0.31000573329497577, 0.31181664945863474, 0.31364026825287378,
    0.3154765240141843, 0.31732535179156041, 0.31918668733912992,
    0.3210604671088757, 0.32294662824344522, 0.32484510856904619,
    0.3267558465884286, 0.32867878147395074, 0.33061385306072866,
    0.33256100183986714, 0.33452016895177134, 0.33649129617953771,
    0.33847432594242383, 0.34046920128939495, 0.34247586589274565,
    0.34449426404179839, 0.3465243406366737, 0.3485660411821348,
    0.35061931178150235, 0.35268409913064119, 0.35476035051201577,
    0.35684801378881492, 0.35894703739914363, 0.36105737035028079,
    0.36317896221300522, 0.36531176311598373, 0.36745572374022434,
    0.36961079531359203, 0.37177692960538739, 0.37395407892098559,
    0.37614219609653576, 0.37834123449372004, 0.3805511479945719,
    0.38277189099635184, 0.38500341840647956, 0.38724568563752321,
    0.38949864860224431, 0.39176226370869699, 0.3940364878553807,
    0.39632127842644749, 0.3986165932869607, 0.40092239077820646,
    0.40323862971305507, 0.40556526937137383, 0.40790226949548958,
    0.41024959028570007, 0.41260719239583332, 0.41497503692885546,
    0.41735308543252597, 0.41974129989509867, 0.42213964274106863,
    0.4245480768269651, 0.42696656543718919, 0.42939507227989399,
    0.43183356148291152, 0.43428199758971864, 0.43674034555544827,
    0.43920857074294217, 0.44168663891884402, 0.44417451624973286,
    0.44667216929829973, 0.44917956501956058, 0.45169667075711012,
    0.45422345423941435, 0.45675988357614161, 0.45930592725453051,
    0.46186155413579533, 0.46442673345156893, 0.4670014348003817,
    0.46958562814417609, 0.47217928380485635, 0.47478237246087451,
    0.47739486514384927, 0.48001673323522004, 0.48264794846293485,
    0.48528848289817095, 0.48793830895208773, 0.49059739937261415,
    0.49326572724126588, 0.49594326596999516, 0.49862998929807284,
    0.50132587128899952, 0.50403088632744808, 0.50674500911623721,
    0.50946821467333214, 0.51220047832887883, 0.51494177572226296,
    0.51769208279919998, 0.52045137580885392, 0.52321963130098292,
    0.52599682612311238, 0.5287829374177363, 0.53157794261954616,
    0.53438181945268481, 0.53719454592802762, 0.54001610034049019,
    0.54284646126636094, 0.54568560756066009, 0.54853351835452291,
    0.55139017305260773, 0.55425555133052995, 0.55712963313231922,
    0.56001239866789954, 0.5629038284105965, 0.56580390309466322,
    0.56871260371283472, 0.57162991151390008, 0.57455580800030093,
    0.57749027492575089, 0.58043329429287749, 0.58338484835088511,
    0.58634491959324042, 0.58931349075537864, 0.59229054481243248,
    0.59527606497697905, 0.59827003469680962, 0.60127243765271954,
    0.60428325775631808, 0.6073024791478574, 0.61033008619408224,
    0.61336606348609934, 0.61641039583726576, 0.61946306828109488,
    0.62252406606918365, 0.62559337466915732, 0.62867097976263253,
    0.63175686724319746, 0.63485102321441367, 0.63795343398783189,
    0.64106408608102605, 0.64418296621564797, 0.64731006131549451,
    0.65044535850459595, 0.65358884510531856, 0.65674050863648481,
    0.65990033681151028, 0.66306831753655604, 0.66624443890869889,
    0.66942868921411491, 0.67262105692628182, 0.67582153070419382,
    0.67903009939059544, 0.68224675201022644, 0.68547147776808581,
    0.68870426604770907, 0.69194510640945928, 0.69519398858883441,
    0.69845090249478792, 0.7017158382080656, 0.70498878597955406,
    0.70826973622864475, 0.71155867954161145, 0.71485560667000259,
    0.71816050852904456, 0.72147337619606189, 0.72479420090890823,
    0.72812297406440962, 0.73145968721682653, 0.7348043320763199,
    0.73815690050743843, 0.74151738452761384, 0.74488577630566866,
    0.74826206816033913, 0.75164625255880746, 0.75503832211524835,
    0.75843826958938665, 0.76184608788506691, 0.76526177004883456,
    0.76868530926852996, 0.7721166988718926, 0.77555593232517717,
    0.77900300323178306, 0.78245790533089066, 0.7859206324961141,
    0.78939117873416109, 0.79286953818350558, 0.79635570511307163,
    0.79984967392092698, 0.80335143913298779, 0.80686099540173428,
    0.81037833750493782, 0.81390346034439665, 0.81743635894468269,
    0.82097702845190079, 0.82452546413245487, 0.82808166137182759,
    0.83164561567336814, 0.83521732265709181, 0.8387967780584874,
    0.84238397772733897, 0.84597891762655242, 0.84958159383099752,
    0.85319200252635596, 0.85681014000798206, 0.86043600267977327,
    0.86406958705305037, 0.86771088974544786, 0.87135990747981706,
    0.87501663708313582, 0.87868107548543339, 0.88235321971872249,
    0.88603306691594508, 0.8897206143099281, 0.89341585923235067,
    0.89711879911272396, 0.90082943147738426, 0.9045477539484964,
    0.90827376424307338, 0.9120074601720074, 0.91574883963911857,
    0.91949790064021675, 0.9232546412621826, 0.92701905968206499,
    0.93079115416619973, 0.93457092306934897, 0.93835836483386659,
    0.94215347798888771, 0.94595626114955267, 0.94976671301626303,
    0.95358483237398151, 0.95741061809157779, 0.96124406912123594,
    0.96508518449792924, 0.96893396333898918, 0.9727904048437841,
    0.97665450829355205, 0.98052627305143758, 0.98440569856282378,
    0.98829278435610868, 0.99218753004421767, 0.99608993532749601,
    1, 1
  )), class = "data.frame", row.names = c(NA, -514L))