feature request: providing model averaged R-squared values for `BayesFactor` objects

[IndrajeetPatil]

Currently, model_performance errors with BayesFactor objects

library(BayesFactor)

    mod <- anovaBF(formula = Sepal.Length ~ Species, data = iris)

    performance::model_performance(mod)
    #> Error in UseMethod("model_performance"): no applicable method for 'model_performance' applied to an object of class "c('BFBayesFactor', 'BFOrNULL')"

But, like JASP, it will be nice to return model averaged R-squared values:

[IndrajeetPatil]

@mattansb Do you think this is something that will be difficult to implement? I haven't been able to track down the R code being used internally by JASP, so can't gauge.

[mattansb]

Very. Main problem is that BayesFactor for some reason does not comply with standard term order / labeling. So the order / names of parameters does not comply with those in a model matrix:

library(BayesFactor)
#> Loading required package: coda
#> Loading required package: Matrix
#> ************
#> Welcome to BayesFactor 0.9.12-4.2. If you have questions, please contact Richard Morey (richarddmorey@gmail.com).
#> 
#> Type BFManual() to open the manual.
#> ************

mtcars$cyl <- factor(mtcars$cyl)
mtcars$am <- factor(mtcars$am)
res <- lmBF(mpg ~ hp * cyl * wt * am, mtcars, progress = FALSE)
#> Warning in doNwaySampling(method, y, X, rscale, iterations, gMap, incCont, :
#> Some NAs were removed from sampling results: 10000 in total.

model <- res[1]

model1 <- model[1]

f <- insight::find_formula(model1)
formula <- f$conditional

dataTypes <- model1@numerator[[1]]@dataTypes

dvs <- insight::find_response(model1)
ivs <- insight::find_predictors(model1)$conditional

dataset <- insight::get_data(model)

idx <- sapply(dataset[ivs], is.factor)

mm <- model.matrix(formula, data = dataset[c(dvs, ivs)],
                   contrasts.arg = lapply(dataset[ivs][idx], contrasts, contrasts = FALSE))

pars <- insight::get_parameters(model)
pars <- pars[,-(which(colnames(pars) == "sig2"):ncol(pars))]

factor interaction columns don’t match in order

library(BayesFactor)
#> Loading required package: coda
#> Loading required package: Matrix
#> ************
#> Welcome to BayesFactor 0.9.12-4.2. If you have questions, please contact Richard Morey (richarddmorey@gmail.com).
#> 
#> Type BFManual() to open the manual.
#> ************

mtcars$cyl <- factor(mtcars$cyl)
mtcars$am <- factor(mtcars$am)
mtcars$gear <- factor(mtcars$gear)
res <- lmBF(mpg ~ hp * cyl * wt * am + gear + gear:wt, mtcars, progress = FALSE, whichRandom = c("gear", "gear:wt"))
#> Warning in doNwaySampling(method, y, X, rscale, iterations, gMap, incCont, :
#> Some NAs were removed from sampling results: 10000 in total.

model <- res[1]

## Get model matrix and parameters...

model1 <- model[1]

f <- insight::find_formula(model1)
if (!is.null(f$random)) {
  formula <- formula(
    paste(
      paste0(as.character(f$conditional)[c(2,1,3)], collapse = ""),
      "+", as.character(f$random)[2]
    )
  )
} else {
  formula <- f$conditional
}

dataTypes <- model1@numerator[[1]]@dataTypes

dvs <- insight::find_response(model1)
ivs <- insight::find_predictors(model1)$conditional

dataset <- insight::get_data(model)

idx <- sapply(dataset[ivs], is.factor)

mm <- model.matrix(formula, data = dataset[c(dvs, ivs)],
                   contrasts.arg = lapply(dataset[ivs][idx], contrasts, contrasts = FALSE))

pars <- insight::get_parameters(model)
pars <- pars[,-(which(colnames(pars) == "sig2"):ncol(pars))]

factor interaction columns don’t match in order

cbind(colnames(mm),
      colnames(pars))
#>       [,1]             [,2]                
#>  [1,] "(Intercept)"    "mu"                
#>  [2,] "hp"             "hp-hp"             
#>  [3,] "cyl4"           "cyl-4"             
#>  [4,] "cyl6"           "cyl-6"             
#>  [5,] "cyl8"           "cyl-8"             
#>  [6,] "wt"             "wt-wt"             
#>  [7,] "am0"            "am-0"              
#>  [8,] "am1"            "am-1"              
#>  [9,] "gear3"          "gear-3"            
#> [10,] "gear4"          "gear-4"            
#> [11,] "gear5"          "gear-5"            
#> [12,] "hp:cyl4"        "hp:cyl-4"          
#> [13,] "hp:cyl6"        "hp:cyl-6"          
#> [14,] "hp:cyl8"        "hp:cyl-8"          
#> [15,] "hp:wt"          "hp:wt-wt"          
#> [16,] "cyl4:wt"        "cyl:wt-4.&.wt"     
#> [17,] "cyl6:wt"        "cyl:wt-6.&.wt"     
#> [18,] "cyl8:wt"        "cyl:wt-8.&.wt"     
#> [19,] "hp:am0"         "hp:am-0"           
#> [20,] "hp:am1"         "hp:am-1"           
#> [21,] "cyl4:am0"       "cyl:am-4.&.0"      
#> [22,] "cyl6:am0"       "cyl:am-4.&.1"      
#> [23,] "cyl8:am0"       "cyl:am-6.&.0"      
#> [24,] "cyl4:am1"       "cyl:am-6.&.1"      
#> [25,] "cyl6:am1"       "cyl:am-8.&.0"      
#> [26,] "cyl8:am1"       "cyl:am-8.&.1"      
#> [27,] "wt:am0"         "wt:am-0"           
#> [28,] "wt:am1"         "wt:am-1"           
#> [29,] "wt:gear3"       "wt:gear-3"         
#> [30,] "wt:gear4"       "wt:gear-4"         
#> [31,] "wt:gear5"       "wt:gear-5"         
#> [32,] "hp:cyl4:wt"     "hp:cyl:wt-4.&.wt"  
#> [33,] "hp:cyl6:wt"     "hp:cyl:wt-6.&.wt"  
#> [34,] "hp:cyl8:wt"     "hp:cyl:wt-8.&.wt"  
#> [35,] "hp:cyl4:am0"    "hp:cyl:am-4.&.0"   
#> [36,] "hp:cyl6:am0"    "hp:cyl:am-4.&.1"   
#> [37,] "hp:cyl8:am0"    "hp:cyl:am-6.&.0"   
#> [38,] "hp:cyl4:am1"    "hp:cyl:am-6.&.1"   
#> [39,] "hp:cyl6:am1"    "hp:cyl:am-8.&.0"   
#> [40,] "hp:cyl8:am1"    "hp:cyl:am-8.&.1"   
#> [41,] "hp:wt:am0"      "hp:wt:am-0"        
#> [42,] "hp:wt:am1"      "hp:wt:am-1"        
#> [43,] "cyl4:wt:am0"    "cyl:wt:am-4.&.0"   
#> [44,] "cyl6:wt:am0"    "cyl:wt:am-4.&.1"   
#> [45,] "cyl8:wt:am0"    "cyl:wt:am-6.&.0"   
#> [46,] "cyl4:wt:am1"    "cyl:wt:am-6.&.1"   
#> [47,] "cyl6:wt:am1"    "cyl:wt:am-8.&.0"   
#> [48,] "cyl8:wt:am1"    "cyl:wt:am-8.&.1"   
#> [49,] "hp:cyl4:wt:am0" "hp:cyl:wt:am-4.&.0"
#> [50,] "hp:cyl6:wt:am0" "hp:cyl:wt:am-4.&.1"
#> [51,] "hp:cyl8:wt:am0" "hp:cyl:wt:am-6.&.0"
#> [52,] "hp:cyl4:wt:am1" "hp:cyl:wt:am-6.&.1"
#> [53,] "hp:cyl6:wt:am1" "hp:cyl:wt:am-8.&.0"
#> [54,] "hp:cyl8:wt:am1" "hp:cyl:wt:am-8.&.1"

^{Created on 2020-09-20 by the reprex package (v0.3.0)}

(At first glance looks alright, but note the interaction terms don't actually match!)

Unfortunately there is no simple fix - order is a factor of the types of terms in an interaction, the order in which they were (when the original BFBayesFactor object was created), how many levels the factor terms have... I have been down this rabbit hole before....

If anyone wants to take a stab at it, after making sure the model matrix and the posterior matrix have the same column order, the rest is easy:

y <- insight::get_response(model)

# if only conditional R2, set all random effect parameters to 0 first
pred <- mm %*% t(pars)
rr <- apply(pred, 2, function(y_) {
  1 - var(y - y_) / var(y)
})

bayestestR::describe_posterior(rr, test = NULL)

[mattansb]

(I couldn't find where the column order was fixed in JASPs source code... Wonder if they fix it anywhere 😱)

[DominiqueMakowski]

I quickly tried out finding the right match using fuzzy string matching:

lapply(colnames(pars), agrep, colnames(mm), max.distance=1, ignore.case = TRUE), but doesn't work 😕

[mattansb]

Yeah, the naming scheme is too weird for anything that simple... 😔

[IndrajeetPatil]

@richarddmorey is working on the next version of BayesFactor, so if this (order/labeling consistency) is something that can be resolved on that end, maybe we can raise an issue there?

[richarddmorey]

I cannot tell from the above what you need the column names to match to. Note that you can get a model matrix from the BF object itself (BF objects have a model.matrix method). I also note offhand that the model matrix seems to have some weird characters, so I need to look at that. I also note that the resulting model matrix is in reduced form, where there are no clear correspondences between data columns and model matrix columns (they're contrasts).

If you tell me what you need, I can see what I can do.

[richarddmorey]

This works for me:

library(BayesFactor)

mtcars$cyl <- factor(mtcars$cyl)
mtcars$am <- factor(mtcars$am)
mtcars$gear <- factor(mtcars$gear)
res <- lmBF(mpg ~ hp * cyl * wt * am + gear + gear:wt, mtcars, progress = FALSE, whichRandom = c("gear", "gear:wt"))

X = BayesFactor::model.matrix(res)
Ch = posterior(res, iterations = 5, unreduce = FALSE, progress = FALSE)

# I don't know why the first column is blank, need to chase this up
colnames(X)[1] = "mu"

# remove sig and g cols
Ch = Ch[, !grepl(pattern = "^sig2$|^g_", x = colnames(Ch))]

all(colnames(X) == colnames(Ch))
# [1] TRUE

[mattansb]

Oh that's great! I must have missed that posterior has a unreduce = FALSE option!

I'll give this a try now.

[mattansb]

Works like a charm. Thanks @richarddmorey !

library(BayesFactor)
library(performance)

data(mtcars)

BFM <- generalTestBF(mpg ~ cyl * gear, data = mtcars, progress = FALSE)
FM <- lm(mpg ~ cyl * gear, data = mtcars)

r2(FM)
#> # R2 for Linear Regression
#> 
#>        R2: 0.746
#>   adj. R2: 0.719
r2(BFM[4])
#> # Bayesian R2 with Standard Error
#> 
#>   Conditional R2: 0.717 [0.052]

# with random effects:
mtcars$gear <- factor(mtcars$gear)
model <- lmBF(mpg ~ hp + cyl + gear + gear:wt, mtcars, progress = FALSE, whichRandom = c("gear", "gear:wt"))
r2(model)
#> # Bayesian R2 with Standard Error
#> 
#>   Conditional R2: 0.366 [0.060]
#>      Marginal R2: 0.212 [0.157]

^{Created on 2020-10-20 by the reprex package (v0.3.0)}

[mattansb]

As for @IndrajeetPatil original request for a model averaged version - I will deal with that separately... I don't think it should be a problem :)

[mattansb]

Done!

library(BayesFactor)
library(performance)

data(mtcars)

BFM <- generalTestBF(mpg ~ qsec , data = mtcars, progress = FALSE)
BFM
#> Bayes factor analysis
#> --------------
#> [1] qsec : 3.395304 ±0%
#> 
#> Against denominator:
#>   Intercept only 
#> ---
#> Bayes factor type: BFlinearModel, JZS

r2(BFM) # numerator model
#> # Bayesian R2 with Standard Error
#> 
#>   Conditional R2: 0.128 [0.106]

r2(BFM, average = TRUE) # both models
#> # Bayesian R2 with Standard Error
#> 
#>   Conditional R2: 0.083 [0.122]

hist(r2_posterior(BFM)[[1]], xlim = c(0,1))

hist(r2_posterior(BFM, average = TRUE)[[1]], xlim = c(0,1))

^{Created on 2020-10-21 by the reprex package (v0.3.0)}

[IndrajeetPatil]

Thanks a lot, Mattan!

Starting to play with this now.

One quick question: Any way to get this to work with anovaBF?

library(performance)
library(BayesFactor)
#> Loading required package: coda
#> Loading required package: Matrix
#> ************
#> Welcome to BayesFactor 0.9.12-4.2. If you have questions, please contact Richard Morey (richarddmorey@gmail.com).
#> 
#> Type BFManual() to open the manual.
#> ************

r2_posterior(
  anovaBF(
    formula = extra ~ group + ID,
    data = sleep,
    whichRandom = "ID",
    progress = FALSE
  ),
  ci = 0.95,
  average = TRUE
)
#>         R2_Bayes R2_Bayes_marginal
#> 1992  0.44330140        0.11336031
#> 159   0.61799960        0.37134834
#> 2372  0.53533510        0.31526769
#> 1868  0.67261871        0.46214316
#> 229   0.33337800        0.13470753
#> 3988  0.58712819        0.20943469
#> 136   0.52406626        0.15076482
#> 3095  0.20553706        0.02897025
#> 2438  0.10340307        0.04699534
#> 830   0.42600580        0.31848992
#> 1132  0.61194536        0.17579003
#> 2994  0.52168318        0.16667755
#> 3494  0.57199643        0.15436237
#> 2831  0.41911206        0.17446940
#> 1842  0.53086796        0.43333619
#> 3193  0.18067679        0.10106534
#> 2792  0.64845235        0.30661289
#> 711   0.51335130        0.23913379
#> 932   0.61218742        0.41420375
#> 1858  0.52849834        0.17011813
#> 1358  0.61145252        0.12658237
#> 469   0.37842849        0.23323447
#> 2587  0.45458830        0.06160424
#> 3828  0.72073277        0.37639489
#> 2910  0.27406217        0.13302198
#> 1000  0.30638093        0.07100279
#> 3212  0.69090502        0.26409609
#> 3714  0.14690698        0.13325014
#> 1309  0.20310008        0.18269665
#> 8     0.40279411        0.14007120
#> 2136  0.63431797        0.27908015
#> 332   0.25404900        0.24538886
#> 110   0.68461371        0.25860245
#> 839   0.21008819        0.08182434
#> 2586  0.63515300        0.31953707
#> 2015  0.39133186        0.26178301
#> 3075  0.44558198        0.24495474
#> 3197  0.30303704        0.03676653
#> 2426  0.37812905        0.12579821
#> 1224  0.22266417        0.13861410
#> 889   0.50615532        0.29397293
#> 1478  0.43115516        0.25148088
#> 1278  0.29049532        0.05680335
#> 3367  0.48109438        0.17954732
#> 2294  0.51213598        0.25563389
#> 226   0.43735984        0.26696657
#> 3688  0.51264507        0.20113489
#> 2924  0.39728259        0.27534687
#> 2737  0.69422485        0.18009603
#> 2151  0.13087791        0.11776244
#> 2230  0.60904188        0.13987870
#> 3090  0.51783514        0.10284950
#> 794   0.46052034        0.16145497
#> 1796  0.74693078        0.40129068
#> 2826  0.28708963        0.07725604
#> 2263  0.65144065        0.30966856
#> 551   0.12316286        0.08779094
#> 3088  0.31009854        0.16100306
#> 2724  0.70005724        0.22048665
#> 2756  0.27758869        0.22872564
#> 5     0.54225260        0.15420197
#> 2276  0.59310093        0.35188161
#> 2951  0.69065035        0.54917074
#> 2943  0.51274322        0.31886168
#> 751   0.70574483        0.18837426
#> 1201  0.54850026        0.22316824
#> 1938  0.66935188        0.24176942
#> 578   0.54131812        0.22601103
#> 1539  0.36512702        0.15671957
#> 278   0.68033571        0.35809326
#> 1567  0.52317902        0.29323299
#> 709   0.44020193        0.23610694
#> 549   0.20835865        0.08111846
#> 2213  0.62364030        0.27427104
#> 3074  0.18423864        0.02775757
#> 3306  0.19592616        0.03501390
#> 856   0.45821221        0.31149825
#> 2367  0.44918505        0.07418322
#> 2408  0.58197650        0.22023691
#> 574   0.58547685        0.29429696
#> 2435  0.34191301        0.08457799
#> 2236  0.45027542        0.12024663
#> 3942  0.29220892        0.08615081
#> 1999  0.39554694        0.22288906
#> 1185  0.68489627        0.33855167
#> 3822  0.51020912        0.12559495
#> 632   0.56184570        0.30170979
#> 3246  0.53897041        0.11995570
#> 788   0.59600899        0.44345860
#> 2989  0.64578751        0.39864779
#> 3057  0.51938529        0.26961610
#> 3590  0.15285713        0.04661842
#> 1659  0.17013910        0.04879141
#> 2775  0.72075760        0.32694761
#> 1113  0.49388917        0.19499127
#> 3144  0.35095211        0.11319040
#> 308   0.41488933        0.06842812
#> 1693  0.69670254        0.19747426
#> 3171  0.64448378        0.38990171
#> 345   0.56081872        0.18081639
#> 2124  0.70112252        0.32186561
#> 3314  0.52310846        0.26245359
#> 3730  0.12009214        0.04547936
#> 2673  0.36375642        0.10773251
#> 1263  0.73330800        0.41014561
#> 3340  0.59359904        0.31281874
#> 3274  0.13463150        0.06734675
#> 1226  0.29210128        0.08885948
#> 1670  0.30668811        0.17954098
#> 763   0.67902567        0.31135863
#> 2828  0.10709380        0.07829213
#> 3072  0.13861335        0.02960314
#> 58    0.46123960        0.21047798
#> 77    0.52392941        0.23634939
#> 3851  0.28506856        0.07295934
#> 3993  0.62477209        0.25014162
#> 1334  0.45437671        0.08948526
#> 3369  0.75162329        0.35948260
#> 24    0.42034369        0.11220498
#> 1529  0.47358873        0.25108783
#> 3789  0.24916320        0.11513023
#> 2159  0.43597788        0.17854825
#> 645   0.16271530        0.22254433
#> 3164  0.46202497        0.08607619
#> 2429  0.21138808        0.14764372
#> 389   0.69899543        0.29768316
#> 798   0.56259031        0.25056864
#> 575   0.68004782        0.32792414
#> 3933  0.28146404        0.16234348
#> 3760  0.31198264        0.16081127
#> 3029  0.49355252        0.28678528
#> 929   0.54636398        0.21736521
#> 1830  0.50176195        0.23257723
#> 2564  0.32756801        0.20117915
#> 2411  0.50247623        0.27753268
#> 1444  0.29816886        0.16554960
#> 1501  0.60870114        0.36040563
#> 2266  0.54454845        0.25072677
#> 3502  0.09557463        0.01724628
#> 2412  0.44744358        0.21278389
#> 2166  0.58778291        0.26795990
#> 2960  0.46929898        0.12452902
#> 78    0.56673454        0.24579422
#> 1575  0.67838922        0.25462610
#> 3348  0.69303793        0.31798266
#> 2257  0.59578150        0.23226665
#> 333   0.31329424        0.23011592
#> 3271  0.47337994        0.35243620
#> 2278  0.64069749        0.32734059
#> 1981  0.68573876        0.28675371
#> 3909  0.38732861        0.36183483
#> 2463  0.62720526        0.32557817
#> 2009  0.55765780        0.42703702
#> 782   0.65691167        0.37236908
#> 1708  0.61326955        0.18208577
#> 3774  0.32561907        0.13053937
#> 1892  0.31589548        0.23292321
#> 1119  0.69594645        0.34601649
#> 972   0.30770849        0.12921643
#> 701   0.48853514        0.39748432
#> 1667  0.39317745        0.15925074
#> 3243  0.59254976        0.15323262
#> 3215  0.54768416        0.25709430
#> 328   0.07879601        0.04600329
#> 1220  0.42868167        0.08242662
#> 511   0.57046867        0.14323909
#> 1169  0.65771948        0.15226835
#> 100   0.30898184        0.09333604
#> 408   0.69883824        0.46348890
#> 3129  0.66669803        0.23966463
#> 3169  0.49830190        0.11661952
#> 1079  0.47266323        0.17023837
#> 904   0.28199060        0.12501824
#> 3880  0.24117481        0.18581097
#> 3058  0.49826838        0.12444484
#> 74    0.49395904        0.33407364
#> 548   0.29661537        0.10153535
#> 558   0.56029113        0.22512185
#> 2339  0.25728624        0.16543595
#> 117   0.57912338        0.31279079
#> 994   0.55689929        0.28882413
#> 878   0.63432194        0.13495125
#> 2699  0.48828866        0.30827304
#> 3478  0.53284158        0.07487204
#> 1299  0.68174585        0.32363621
#> 1461  0.43965882        0.31876360
#> 1172  0.64662713        0.43049396
#> 1466  0.53412835        0.13229521
#> 1859  0.60282615        0.33258662
#> 1784  0.61748232        0.24219386
#> 2290  0.66257224        0.38087411
#> 3423  0.31639985        0.02276802
#> 1661  0.09659092        0.03852198
#> 1284  0.49030203        0.33256086
#> 1383  0.69663117        0.58482016
#> 2860  0.23436529        0.11858292
#> 1056  0.48631607        0.04109336
#> 3853  0.52951245        0.24923680
#> 1712  0.70998025        0.30324711
#> 2243  0.36585558        0.09905898
#> 63    0.65239262        0.09828974
#> 3605  0.45607393        0.16145448
#> 471   0.59751576        0.39943063
#> 3696  0.57578370        0.15913699
#> 3711  0.19787671        0.11032400
#> 431   0.39139565        0.10554622
#> 1498  0.42945832        0.12177323
#> 1     0.64636809        0.28583864
#> 2510  0.53360640        0.14805329
#> 2957  0.25501089        0.13063896
#> 242   0.75303853        0.36172641
#> 2347  0.28615409        0.26583816
#> 3082  0.47628681        0.30955517
#> 3793  0.19670369        0.07352531
#> 315   0.35478934        0.13272839
#> 3047  0.52605899        0.13563947
#> 3635  0.46989216        0.18667828
#> 1171  0.67734102        0.20741525
#> 2742  0.37620794        0.23720131
#> 365   0.47353271        0.12821990
#> 2193  0.17384308        0.14512051
#> 2598  0.12696815        0.10544730
#> 1462  0.37392718        0.27964352
#> 870   0.54467756        0.11617178
#> 1643  0.54318243        0.23290450
#> 2616  0.14072069        0.04536651
#> 2972  0.67791331        0.20794635
#> 3959  0.29056536        0.10011316
#> 2727  0.71241524        0.48941189
#> 1802  0.20650335        0.08550213
#> 1926  0.68093365        0.31672840
#> 585   0.46714220        0.09933253
#> 3817  0.55496178        0.17644965
#> 38    0.40984257        0.07913513
#> 2283  0.43801961        0.17941698
#> 124   0.70020085        0.21212798
#> 2871  0.45106865        0.24818093
#> 3315  0.57540941        0.34758481
#> 2107  0.28635643        0.15740657
#> 3434  0.52835363        0.29864137
#> 1008  0.38038553        0.23314895
#> 1304  0.54583360        0.52618435
#> 3892  0.58947606        0.32306969
#> 2555  0.68275343        0.33704019
#> 2672  0.26258477        0.20459294
#> 630   0.24948051        0.06881912
#> 2585  0.65417479        0.37892272
#> 3459  0.32832727        0.12096939
#> 39    0.56347563        0.31274000
#> 294   0.48676364        0.22708812
#> 1630  0.33581076        0.03588735
#> 2259  0.61783346        0.30879684
#> 1635  0.62204926        0.34137419
#> 2876  0.35071734        0.03339847
#> 1717  0.47139225        0.28525239
#> 2849  0.59141995        0.42792433
#> 3157  0.74031037        0.33930030
#> 3334  0.55271860        0.15679679
#> 3594  0.15014307        0.06882455
#> 2335  0.58012537        0.35210854
#> 2507  0.41244718        0.18255246
#> 3208  0.46224196        0.21658818
#> 256   0.26396194        0.16556692
#> 720   0.64541492        0.52173325
#> 3969  0.68867233        0.26450907
#> 2126  0.53466601        0.20572357
#> 2279  0.75309867        0.44792833
#> 3445  0.72659098        0.41778005
#> 429   0.56588047        0.37628380
#> 438   0.31513426        0.12417334
#> 2441  0.53048828        0.20568038
#> 2919  0.51121651        0.23032483
#> 14    0.71671627        0.59581237
#> 338   0.63934703        0.15031978
#> 1469  0.58045132        0.19173778
#> 1960  0.74403621        0.38519067
#> 1069  0.55279305        0.20669799
#> 3976  0.63488792        0.21263675
#> 1307  0.24663135        0.11052169
#> 473   0.24667717        0.02532847
#> 3896  0.15506185        0.11742319
#> 1776  0.68661642        0.25691910
#> 541   0.33524532        0.13017035
#> 3216  0.40126887        0.07488909
#> 1418  0.70543084        0.48889973
#> 3702  0.32353790        0.23079678
#> 3537  0.59564714        0.36219735
#> 651   0.48687026        0.40765361
#> 2309  0.65433649        0.20490194
#> 3408  0.50906833        0.13444513
#> 2787  0.60014274        0.37042622
#> 1147  0.47003716        0.11577824
#> 3175  0.37398786        0.13633844
#> 3745  0.29385322        0.26764639
#> 3470  0.57622352        0.26818530
#> 885   0.43778487        0.18858310
#> 1014  0.52195823        0.23043021
#> 3476  0.54535363        0.09674496
#> 3508  0.32289065        0.14843383
#> 767   0.39397627        0.09266616
#> 2986  0.50257054        0.19080472
#> 416   0.63705263        0.18286972
#> 142   0.39101219        0.17346264
#> 3795  0.17499075        0.06156242
#> 728   0.52842173        0.43281357
#> 3296  0.19381839        0.10121904
#> 1929  0.60560780        0.14913095
#> 3701  0.59621289        0.37171591
#> 2262  0.42797330        0.15448471
#> 2303  0.54212929        0.09508569
#> 3460  0.50146150        0.17477395
#> 1556  0.52016171        0.25589833
#> 3076  0.58053669        0.41782906
#> 3757  0.38424979        0.22088658
#> 3146  0.45595871        0.37580537
#> 1722  0.71150793        0.32172968
#> 1555  0.62927527        0.27503496
#> 29891 0.84104323        0.29371663
#> 3407  0.82195609        0.36331061
#> 3994  0.81157249        0.38766082
#> 3809  0.74105571        0.37384824
#> 1329  0.78897857        0.38930843
#> 2096  0.52239009        0.33383409
#> 1577  0.68764495        0.42195284
#> 22431 0.86367391        0.65774435
#> 2618  0.69099862        0.52309815
#> 2750  0.45346389        0.28708367
#> 2878  0.64338461        0.39488986
#> 1189  0.86050322        0.35399565
#> 2473  0.83005077        0.29899463
#> 281   0.83939835        0.35537534
#> 876   0.89306388        0.46143362
#> 3759  0.55190962        0.23848610
#> 3396  0.83514594        0.35581553
#> 758   0.89826452        0.37575712
#> 32151 0.68279116        0.30023764
#> 2352  0.67628963        0.38999108
#> 1732  0.70394310        0.49205900
#> 3475  0.67986725        0.51916927
#> 755   0.83947507        0.52916256
#> 1619  0.71126832        0.31461266
#> 3700  0.79406224        0.45741794
#> 2655  0.74784263        0.31640570
#> 2811  0.74688832        0.33554758
#> 2340  0.75452935        0.50563977
#> 3378  0.58689658        0.41675135
#> 2883  0.75489339        0.41304811
#> 3674  0.82374270        0.48810038
#> 1098  0.86188950        0.45766464
#> 1578  0.71262711        0.39818126
#> 3291  0.88610664        0.46888194
#> 3863  0.86962191        0.39027177
#> 963   0.86027013        0.41246042
#> 2052  0.75271857        0.33381709
#> 1214  0.83172576        0.43487883
#> 3529  0.69221377        0.51574551
#> 3848  0.83237802        0.53245704
#> 2353  0.83729188        0.42491058
#> 3149  0.50234901        0.23382768
#> 1241  0.79703571        0.42557597
#> 3359  0.85959835        0.51995372
#> 2295  0.40531802        0.15606114
#> 1115  0.85963496        0.36939065
#> 2657  0.56750178        0.21036173
#> 2808  0.67995579        0.39684435
#> 2992  0.76992962        0.38239107
#> 198   0.83586485        0.43954564
#> 3530  0.77436737        0.37665046
#> 3287  0.58349810        0.25426748
#> 1609  0.82633258        0.46786930
#> 2777  0.78194742        0.30825046
#> 1759  0.84781601        0.49370226
#> 3510  0.72637655        0.17469739
#> 2005  0.78224512        0.52615552
#> 14181 0.90513721        0.50491234
#> 3935  0.86127239        0.67738482
#> 1571  0.67246331        0.47283453
#> 22791 0.76353149        0.37611362
#> 1608  0.81203506        0.57425989
#> 1093  0.68215591        0.47371737
#> 1881  0.82016483        0.33771206
#> 1620  0.79775425        0.42077005
#> 2987  0.83110749        0.48382718
#> 13071 0.86434542        0.39774139
#> 2793  0.70974446        0.45453433
#> 901   0.74098090        0.25571315
#> 2330  0.84106038        0.56665281
#> 1808  0.67244080        0.33900866
#> 1533  0.87362412        0.49932335
#> 3903  0.49846963        0.16636517
#> 662   0.69143825        0.31491988
#> 2723  0.87959620        0.48957701
#> 2017  0.70864974        0.44332408
#> 3986  0.72470837        0.44220899
#> 3405  0.82729796        0.70763080
#> 1822  0.78681469        0.57394554
#> 900   0.72945498        0.37858472
#> 1080  0.61492366        0.46176700
#> 37931 0.79167839        0.34643181
#> 762   0.87347810        0.40868711
#> 215   0.82764783        0.24160416
#> 2824  0.77992869        0.49613623
#> 1679  0.79717271        0.36000541
#> 2291  0.80597706        0.61018640
#> 1853  0.71129691        0.35602391
#> 1429  0.76976400        0.67771337
#> 3506  0.85739844        0.26935551
#> 3491  0.55982818        0.32973395
#> 957   0.86045372        0.57555991
#> 1890  0.66517247        0.44633624
#> 491   0.55588622        0.29635921
#> 666   0.88927431        0.67927859
#> 2923  0.82999021        0.40387198
#> 37021 0.79981977        0.45722054
#> 650   0.48167006        0.25897783
#> 3230  0.83160347        0.46055713
#> 2390  0.85213518        0.42995855
#> 1096  0.77148084        0.44499129
#> 61    0.79191913        0.36541150
#> 944   0.83647737        0.39743767
#> 790   0.65127679        0.29904080
#> 852   0.42778414        0.21533332
#> 3033  0.66984893        0.35611096
#> 2316  0.63368748        0.38803516
#> 708   0.78812524        0.41664096
#> 2726  0.79641894        0.38626608
#> 1749  0.73463510        0.37235129
#> 2248  0.83212983        0.38059705
#> 1563  0.76704092        0.26658394
#> 2175  0.55293278        0.27051644
#> 3855  0.83286988        0.36188763
#> 3349  0.79137571        0.43755369
#> 616   0.64221983        0.43694777
#> 22631 0.79334823        0.37389735
#> 327   0.70943896        0.49901875
#> 2842  0.80594106        0.32764045
#> 1536  0.66341551        0.33830630
#> 1250  0.83296275        0.69388726
#> 3312  0.87109928        0.62634135
#> 483   0.44518525        0.27918385
#> 3677  0.78633383        0.26289650
#> 2359  0.73451838        0.42987492
#> 1364  0.71322536        0.48403283
#> 247   0.61886279        0.47180295
#> 1064  0.71992233        0.38898911
#> 3991  0.85888630        0.52705018
#> 2946  0.80588697        0.30205599
#> 1246  0.81278351        0.36953215
#> 30581 0.88448405        0.63193008
#> 11191 0.87829907        0.43563024
#> 3426  0.87552149        0.48285408
#> 3279  0.85390475        0.54205189
#> 1052  0.57018683        0.36789435
#> 914   0.68080546        0.41945090
#> 2177  0.53034686        0.32653587
#> 1956  0.65097510        0.24064438
#> 2709  0.71550006        0.51157080
#> 1634  0.76918702        0.33289813
#> 3372  0.83450950        0.64932093
#> 3708  0.75353653        0.58448769
#> 1613  0.82128691        0.50790252
#> 2694  0.84280772        0.62491408
#> 2172  0.86800433        0.59213523
#> 154   0.68617167        0.40773713
#> 2240  0.72405843        0.50440607
#> 1528  0.82396566        0.36493764
#> 3507  0.82385061        0.25170288
#> 1199  0.76021640        0.29544551
#> 3213  0.75965311        0.56519113
#> 3751  0.86142044        0.50913328
#> 2185  0.60904656        0.44182351
#> 4691  0.89790569        0.44995213
#> 2321  0.69416488        0.31658795
#> 436   0.75772017        0.38582977
#> 185   0.84504384        0.61931278
#> 3554  0.80202770        0.33482663
#> 3498  0.74012218        0.36612913
#> 7981  0.88047068        0.43864777
#> 426   0.74796578        0.34908173
#> 3665  0.63197657        0.42875301
#> 2094  0.62033557        0.33655598
#> 3675  0.71548880        0.27034246
#> 1335  0.81054460        0.41111840
#> 1958  0.32066265        0.17283732
#> 1100  0.79008151        0.53777096
#> 3845  0.76783408        0.52471800
#> 2090  0.42952520        0.24615402
#> 1484  0.75570019        0.42900123
#> 349   0.46368144        0.09446045
#> 2952  0.65353421        0.24957580
#> 1221  0.68337252        0.39810962
#> 1527  0.84908738        0.44511950
#> 3690  0.51483205        0.13996302
#> 2903  0.72416583        0.21697035
#> 1795  0.69855700        0.32727760
#> 2062  0.81470343        0.53837444
#> 1553  0.79722486        0.36617152
#> 3712  0.39791381        0.38333228
#> 1180  0.79733401        0.43197968
#> 97    0.87483891        0.45403675
#> 2627  0.62536145        0.32760119
#> 2835  0.73798954        0.28101206
#> 3099  0.66391397        0.43334347
#> 512   0.81426514        0.61364264
#> 1164  0.78519462        0.47112177
#> 89    0.82109614        0.51886276
#> 1350  0.74199199        0.45205852
#> 98    0.72152007        0.24276646
#> 3885  0.88977828        0.45362698
#> 2082  0.74669551        0.44893753
#> 3799  0.82168302        0.39555210
#> 3135  0.78349451        0.47604956
#> 3458  0.70325161        0.38056063
#> 3572  0.60809416        0.15651669
#> 3923  0.63062244        0.22356393
#> 809   0.62542139        0.44090378
#> 3218  0.62929549        0.42533229
#> 316   0.69281181        0.14598632
#> 1488  0.75131565        0.47941581
#> 1347  0.68175191        0.39697355
#> 3672  0.76294516        0.46263754
#> 38801 0.83444529        0.54295810
#> 743   0.85541637        0.59626946
#> 2900  0.76901337        0.40265656
#> 3256  0.69860362        0.33019481
#> 773   0.69374753        0.26830324
#> 205   0.66515295        0.49719368
#> 1541  0.80459045        0.48348954
#> 1552  0.80791854        0.50426593
#> 3768  0.80979914        0.33010664
#> 2886  0.67619224        0.37013515
#> 1880  0.75805158        0.37541915
#> 309   0.56536713        0.14754664
#> 1029  0.66939937        0.45958570
#> 2341  0.70429172        0.29800668
#> 1404  0.77886732        0.35381300
#> 1867  0.84806936        0.54895840
#> 1876  0.59908647        0.13239775
#> 1690  0.59650654        0.37084737
#> 3299  0.59216501        0.13851972
#> 3511  0.74434319        0.58603688
#> 2691  0.80408916        0.32380233
#> 3000  0.79985964        0.42306432
#> 1882  0.83331263        0.48413809
#> 1179  0.55831139        0.36007786
#> 3928  0.79415956        0.49858813
#> 1885  0.80135800        0.54353660
#> 968   0.75735569        0.29823829
#> 531   0.73596798        0.40013173
#> 2680  0.90496035        0.56887958
#> 2332  0.82944721        0.56544436
#> 2765  0.86245627        0.28752176
#> 1557  0.42697434        0.26179051
#> 1573  0.77663613        0.29982614
#> 3037  0.83184955        0.56895622
#> 3504  0.79846917        0.59654794
#> 989   0.86196897        0.59853558
#> 1471  0.69228612        0.45655541
#> 3317  0.78935039        0.46551578
#> 2139  0.65606782        0.18865877
#> 1074  0.83344353        0.58179076
#> 2706  0.73637023        0.50024270
#> 2637  0.83252477        0.49200132
#> 3065  0.63855644        0.22673759
#> 2614  0.42219204        0.21176157
#> 1045  0.85999448        0.40925421
#> 1267  0.86750284        0.52940642
#> 48    0.74054976        0.38133402
#> 3744  0.77495561        0.51475921
#> 2736  0.86471814        0.52479882
#> 3285  0.75746455        0.55332476
#> 504   0.55324024        0.23345683
#> 3778  0.81421296        0.52592670
#> 2174  0.58839106        0.32210265
#> 3924  0.62088155        0.33295978
#> 1087  0.79117327        0.43193826
#> 660   0.80482745        0.39114506
#> 407   0.85098801        0.43591310
#> 2922  0.85441251        0.63564767
#> 2202  0.59551777        0.35960799
#> 298   0.78437135        0.48875533
#> 501   0.44832686        0.20832814
#> 1918  0.82985272        0.32484526
#> 1381  0.79659073        0.29379490
#> 13    0.67405799        0.27312583
#> 3355  0.81090574        0.54357626
#> 2030  0.82897434        0.53830935
#> 8391  0.79776919        0.40852033
#> 624   0.73551605        0.46884246
#> 1225  0.57288058        0.39037738
#> 2810  0.73737637        0.49825436
#> 39091 0.84904147        0.63473175
#> 2402  0.84207450        0.25872501
#> 3023  0.84785585        0.58683693
#> 143   0.78561610        0.45351792
#> 1485  0.65075927        0.46721868
#> 1502  0.76639778        0.35543493
#> 1761  0.87195130        0.38403035
#> 32081 0.70346116        0.51159554
#> 1192  0.83553567        0.57696274
#> 2643  0.61034743        0.31926585
#> 1249  0.82950139        0.68987804
#> 991   0.79136461        0.52396103
#> 22591 0.65968633        0.42742726
#> 497   0.68831987        0.44107121
#> 1505  0.80553196        0.44166949
#> 1946  0.64020967        0.42091823
#> 545   0.87723129        0.50855601
#> 111   0.79442450        0.35912565
#> 612   0.42294104        0.24232383
#> 3856  0.80251201        0.43924615
#> 2652  0.64327312        0.28661313
#> 1352  0.63188082        0.29051342
#> 3429  0.82493843        0.44813911
#> 1213  0.77899012        0.34820615
#> 3939  0.82413259        0.33988239
#> 2605  0.86876195        0.43324758
#> 2085  0.78710912        0.51105295
#> 151   0.55121561        0.34389025
#> 3187  0.73058111        0.53062977
#> 509   0.71717822        0.33039331
#> 3645  0.84723217        0.69081298
#> 34601 0.69636366        0.22169258
#> 10561 0.73980197        0.41952700
#> 2780  0.81810551        0.60033978
#> 1388  0.65570369        0.42993202
#> 1961  0.80662594        0.23222859
#> 1913  0.86983400        0.54234976
#> 258   0.29768561        0.31610841
#> 1440  0.89017622        0.49047176
#> 13581 0.70505380        0.23246842
#> 748   0.85683194        0.61283059
#> 641   0.74372982        0.16508586
#> 1841  0.69661077        0.26889713
#> 450   0.85137686        0.38426891
#> 28311 0.79621723        0.55094681
#> 1124  0.64702771        0.22755599
#> 331   0.79578863        0.47605033
#> 2926  0.81840727        0.71364960
#> 2566  0.85562819        0.59562816
#> 3039  0.78565585        0.31411070
#> 1305  0.88356208        0.45783018
#> 2265  0.81983700        0.61393912
#> 2122  0.55220917        0.26005596
#> 3648  0.73206895        0.48718231
#> 1496  0.59379302        0.28552093
#> 1596  0.86710196        0.48706653
#> 3001  0.84993347        0.46716629
#> 10010 0.81144544        0.33208873
#> 11    0.75913842        0.48662014
#> 1823  0.84528246        0.54873807
#> 1731  0.88525358        0.57741747
#> 24261 0.75251751        0.39582374
#> 3620  0.67640963        0.34701265
#> 1343  0.87575148        0.58476739
#> 1316  0.83561918        0.42601185
#> 1325  0.81700195        0.52512532
#> 1010  0.74471973        0.32309597
#> 70    0.76489522        0.30935039
#> 1229  0.86146060        0.55526373
#> 2521  0.64534200        0.30888730
#> 568   0.79019435        0.64478034
#> 2328  0.75676703        0.28780696
#> 640   0.87960348        0.52478512
#> 2208  0.73107730        0.42598072
#> 816   0.86018515        0.41221926
#> 2864  0.85777533        0.44194660
#> 898   0.80908955        0.63929743
#> 28261 0.78612213        0.33829678
#> 873   0.84837005        0.46963336
#> 3303  0.50288217        0.37320272
#> 1863  0.86375660        0.54911498
#> 3048  0.87786237        0.39288118
#> 2145  0.58766837        0.38488599
#> 2346  0.74668038        0.29267877
#> 733   0.87098946        0.52608690
#> 1701  0.66324934        0.41242124
#> 1803  0.60260494        0.46288289
#> 3284  0.67486279        0.33272868
#> 3101  0.55202701        0.39233000
#> 1397  0.37987212        0.17322544
#> 2179  0.53468351        0.24253841
#> 3325  0.83236457        0.40455134
#> 1857  0.68195589        0.18955951
#> 1638  0.66197855        0.20713046
#> 1985  0.62523314        0.27133887
#> 34510 0.72212022        0.39406594
#> 1811  0.84810892        0.32070279
#> 3324  0.67391820        0.36530224
#> 1902  0.79379986        0.47765058
#> 452   0.86666856        0.51655043
#> 2954  0.65297527        0.32298455
#> 2850  0.85067082        0.30947877
#> 2061  0.81161598        0.41388110
#> 659   0.58865989        0.30908607
#> 819   0.58702453        0.24594339
#> 2189  0.89467622        0.47818021
#> 187   0.84759441        0.42913714
#> 2120  0.79151195        0.16203254
#> 3442  0.65281680        0.36874717
#> 1792  0.87828342        0.63759142
#> 3066  0.55811684        0.13238514
#> 1481  0.54821438        0.24428988
#> 2171  0.75634933        0.42934524
#> 2512  0.46913111        0.22395638
#> 907   0.74015289        0.24714678
#> 445   0.76085871        0.43181188
#> 1181  0.85433969        0.35268505
#> 30741 0.66651880        0.39955267
#> 3264  0.50107670        0.40606257
#> 3120  0.89511423        0.37922246
#> 1743  0.72469755        0.32594593
#> 3663  0.70073546        0.49566659
#> 443   0.85709588        0.47226919
#> 564   0.81978390        0.38998872
#> 617   0.54388011        0.20566749
#> 3543  0.77866019        0.54037723
#> 619   0.74935987        0.42766733
#> 25851 0.56424523        0.15173355
#> 2100  0.77651626        0.48138009
#> 3055  0.84163065        0.31513808
#> 235   0.83107012        0.49428002
#> 1883  0.62069814        0.42291958
#> 42    0.80450110        0.38452247
#> 3587  0.55867347        0.30458370
#> 573   0.86556654        0.55209293
#> 65    0.59887905        0.41315378
#> 3746  0.80207096        0.41970361
#> 3505  0.86746102        0.75545677
#> 1422  0.52001225        0.28312112
#> 10081 0.76535545        0.35551406
#> 3122  0.77706007        0.54244164
#> 31641 0.82238403        0.55030423
#> 3336  0.50202501        0.41660060
#> 3552  0.81762220        0.47628672
#> 567   0.72878915        0.42186601
#> 3185  0.68582788        0.38873325
#> 2938  0.85038412        0.48151379
#> 997   0.77235411        0.57487415
#> 2478  0.80716661        0.32818072
#> 1686  0.71218887        0.49334603
#> 2855  0.79950006        0.52093924
#> 3974  0.79255252        0.57299279
#> 3181  0.51449057        0.19896764
#> 2642  0.79464154        0.38373465
#> 3138  0.69120859        0.40697330
#> 1088  0.77350021        0.35400229
#> 275   0.87618541        0.36795322
#> 5581  0.85385423        0.38621110
#> 3632  0.71732919        0.13773553
#> 3173  0.71065918        0.44094779
#> 29941 0.67187626        0.26291274
#> 31291 0.78663744        0.36462456
#> 1697  0.43944881        0.17961716
#> 715   0.59366621        0.48808331
#> 2970  0.80772322        0.53311695
#> 1765  0.73883658        0.33295357
#> 2720  0.83834078        0.39627132
#> 2956  0.72754011        0.47577824
#> 1896  0.73328597        0.23599990
#> 3958  0.51669436        0.25525411
#> 30881 0.60706243        0.44329881
#> 2794  0.84229361        0.65483255
#> 652   0.46596360        0.19089366
#> 2502  0.65858387        0.34421353
#> 1786  0.71929418        0.43953888
#> 3018  0.49479994        0.26321669
#> 43    0.75704342        0.41131152
#> 2406  0.78663716        0.49692561
#> 130   0.81196709        0.22548636
#> 3697  0.75208223        0.41074603
#> 3178  0.83152673        0.43440068
#> 330   0.74170641        0.32324714
#> 2130  0.76868879        0.59943263
#> 1480  0.77435339        0.54436327
#> 2823  0.76412442        0.42949165
#> 761   0.85460906        0.60244694
#> 945   0.86778116        0.45609070
#> 951   0.76310551        0.30843933
#> 133   0.80315501        0.38508422
#> 2039  0.30486398        0.09201758
#> 2683  0.72987931        0.41262953
#> 2267  0.86259083        0.69868275
#> 353   0.65939872        0.39867768
#> 2985  0.80233581        0.65828163
#> 517   0.62616516        0.39804776
#> 2387  0.78129007        0.25016973
#> 1860  0.71975780        0.36084215
#> 3528  0.78991975        0.56222655
#> 533   0.83079350        0.31290574
#> 1159  0.88009618        0.59202671
#> 17221 0.53163722        0.35443926
#> 1602  0.76726876        0.61484147
#> 2554  0.72940459        0.19874907
#> 1445  0.82331761        0.37160023
#> 3966  0.79891243        0.30682795
#> 1566  0.70337905        0.43866291
#> 285   0.79638461        0.50904446
#> 981   0.71824529        0.43477509
#> 1524  0.78168174        0.46783312
#> 1004  0.72909839        0.31886761
#> 2934  0.76164986        0.49285735
#> 3952  0.85440457        0.38301382
#> 33810 0.26269044        0.10666670
#> 2999  0.89036465        0.47183345
#> 16701 0.27737858        0.18423303
#> 2738  0.86903671        0.39499340
#> 1137  0.84514831        0.54321811
#> 383   0.80808207        0.32318102
#> 704   0.53239335        0.25669670
#> 648   0.33803228        0.13599878
#> 27871 0.83004420        0.53259803
#> 105   0.75663019        0.44414181
#> 38221 0.85117055        0.34059529
#> 7631  0.87339016        0.47294506
#> 1837  0.67669558        0.44117464
#> 1621  0.84692684        0.42181986
#> 2817  0.82281560        0.43515531
#> 31751 0.82868796        0.33687678
#> 3591  0.73310010        0.43849390
#> 322   0.80701493        0.54934427
#> 3902  0.53330683        0.38159679
#> 2904  0.74062778        0.32036518
#> 1379  0.63313848        0.40620247
#> 29431 0.83478978        0.45095962
#> 3956  0.82263727        0.46713751
#> 1996  0.70907402        0.32412119
#> 3961  0.88006849        0.43870833
#> 1102  0.75830125        0.52424523
#> 3484  0.45712450        0.23008552
#> 2833  0.84802498        0.69722502
#> 241   0.74197958        0.38691015
#> 2880  0.78045889        0.42802330
#> 1155  0.85089518        0.47183756
#> 144   0.76540374        0.71042894
#> 1538  0.75031412        0.43294998
#> 2275  0.85337657        0.54356912
#> 3027  0.75482363        0.39424534
#> 811   0.85106044        0.43086709
#> 597   0.48310204        0.19880592
#> 264   0.53430882        0.34107801
#> 2948  0.86045137        0.36774862
#> 3631  0.70775696        0.27773637
#> 33691 0.74813438        0.45331578
#> 804   0.81915338        0.33946084
#> 1130  0.69664814        0.39563872
#> 1451  0.76331029        0.42466836
#> 1616  0.82055015        0.48061080
#> 314   0.30362846        0.21654092
#> 39881 0.75345447        0.49752142
#> 21591 0.74689862        0.40166516
#> 466   0.62814334        0.21066650
#> 3929  0.76825387        0.36520882
#> 2272  0.89038157        0.60523414
#> 3602  0.85491368        0.42321467
#> 2654  0.84031623        0.60792741
#> 1504  0.83241676        0.45223661
#> 8301  0.84029038        0.57254684
#> 2982  0.34379302        0.23349800
#> 28491 0.64656346        0.44152010
#> 164   0.81151414        0.59393018
#> 828   0.85847048        0.54160408
#> 3084  0.38667369        0.25486626
#> 2520  0.77059937        0.42290319
#> 2906  0.71705436        0.60017230
#> 419   0.73339286        0.37886812
#> 884   0.66412052        0.52040034
#> 1520  0.56450352        0.39453449
#> 3142  0.90013592        0.53657515
#> 3354  0.81971608        0.40406041
#> 1927  0.81435163        0.31125185
#> 996   0.82053659        0.52438952
#> 1843  0.64449601        0.33785771
#> 3644  0.84482321        0.34249922
#> 1831  0.87934522        0.52034065
#> 2476  0.68465473        0.27855357
#> 770   0.43919383        0.27764190
#> 3765  0.86363371        0.45925870
#> 3561  0.77127632        0.54408321
#> 3108  0.82866426        0.33716035
#> 1415  0.80796006        0.59496755
#> 2639  0.67318387        0.27735693
#> 420   0.80070018        0.38572624
#> 277   0.87999853        0.56952168
#> 1682  0.85878640        0.57702060
#> 1078  0.77749113        0.27819738
#> 3542  0.71984224        0.26384929
#> 3499  0.77088989        0.53617215
#> 3514  0.78329431        0.42371318
#> 337   0.56994760        0.29149795
#> 246   0.70020809        0.29119780
#> 881   0.76149804        0.37527376
#> 980   0.69804129        0.36370878
#> 1546  0.71703067        0.49482378
#> 950   0.76141991        0.43385545
#> 3873  0.80652544        0.62025282
#> 584   0.79790686        0.48094611
#> 317   0.76583296        0.60794683
#> 441   0.84707000        0.46334307
#> 1259  0.65270237        0.21964924
#> 1446  0.65725753        0.25748546
#> 3158  0.65824659        0.40270748
#> 2830  0.77623027        0.48771447
#> 2573  0.81129722        0.62298481
#> 2621  0.53921888        0.17350609
#> 3859  0.87567141        0.52235967
#> 3112  0.83596603        0.43722555
#> 2562  0.80851334        0.57928702
#> 3816  0.82625698        0.57642670
#> 2289  0.82491689        0.57300150
#> 243   0.57059120        0.22387181
#> 1243  0.84032256        0.57380070
#> 894   0.85481947        0.52629188
#> 2414  0.81094348        0.41345794
#> 913   0.68547078        0.35168432
#> 3654  0.81866906        0.41194726
#> 2051  0.88760333        0.46158848
#> 1043  0.81619001        0.37579330
#> 3275  0.75369678        0.36207066
#> 318   0.66921998        0.30026479
#> 1825  0.84138097        0.57813699
#> 2660  0.68424759        0.31691634
#> 756   0.81923009        0.49161584
#> 3194  0.85605643        0.50721756
#> 15671 0.55555805        0.28490918
#> 834   0.82164901        0.47954762
#> 3003  0.74010785        0.52820320
#> 1019  0.73568775        0.28504606
#> 1410  0.53072800        0.15521268
#> 2109  0.85656838        0.43410345
#> 3453  0.60680259        0.38326421
#> 1416  0.86139352        0.65093784
#> 3807  0.44367667        0.20970019
#> 3798  0.89298899        0.45479972
#> 2080  0.40318958        0.23257055
#> 3997  0.82806062        0.37823680
#> 2425  0.82746939        0.57113034
#> 3300  0.69053907        0.49009954
#> 1402  0.61377369        0.29516954
#> 1810  0.80304071        0.43814025
#> 3710  0.57592343        0.23913028
#> 3159  0.86558026        0.54825347
#> 2721  0.82118120        0.46045270
#> 1548  0.68421459        0.40100986
#> 2317  0.68092434        0.41689526
#> 3569  0.60844956        0.48878045
#> 987   0.79757296        0.42485852
#> 1645  0.72710423        0.31249875
#> 7671  0.59568029        0.35141015
#> 598   0.79869297        0.34235442
#> 1037  0.79571398        0.52969625
#> 3254  0.75664241        0.41566570
#> 1627  0.60126533        0.32379845
#> 418   0.86399236        0.39660014
#> 28711 0.71472974        0.35709207
#> 2628  0.53158014        0.18490746
#> 538   0.75291836        0.60184596
#> 1452  0.71948255        0.52772554
#> 764   0.79817597        0.42267951
#> 2393  0.79973535        0.30583869
#> 795   0.70430266        0.35107410
#> 1417  0.88316937        0.52312602
#> 2273  0.89898243        0.56230985
#> 1807  0.57832970        0.34511731
#> 3232  0.77896753        0.31480998
#> 37111 0.47925420        0.19606774
#> 1739  0.80177761        0.33789469
#> 1839  0.60798516        0.20796337
#> 3950  0.75771221        0.49502065
#> 971   0.84555669        0.42214999
#> 3980  0.77080282        0.35071998
#> 1085  0.78393596        0.49896224
#> 3858  0.81595726        0.60128094
#> 430   0.74138421        0.36427003
#> 2453  0.76017966        0.44477682
#> 2084  0.69683364        0.46923056
#> 3771  0.73219977        0.61645088
#> 3114  0.86315371        0.41526231
#> 334   0.71011716        0.42039802
#> 216   0.82112516        0.70779048
#> 1982  0.76987106        0.36026665
#> 3640  0.80146827        0.57226869
#> 1194  0.87151045        0.55659721
#> 3113  0.88212732        0.58376397
#> 3139  0.74549810        0.43879867
#> 3564  0.80694884        0.51299338
#> 639   0.60638574        0.36960715
#> 283   0.80312962        0.53475907
#> 1109  0.80950559        0.49435445
#> 1038  0.63413166        0.44673139
#> 570   0.82632849        0.50428196
#> 16431 0.84585038        0.51684462
#> 2004  0.74133227        0.29683560
#> 1499  0.79502001        0.64398807
#> 739   0.78860121        0.50799562
#> 3130  0.85014082        0.65259700
#> 1928  0.87682442        0.65756757
#> 2255  0.45046660        0.16198036
#> 2556  0.77886413        0.47431402
#> 382   0.83227231        0.68073464
#> 3624  0.79411822        0.29155756
#> 2057  0.88388932        0.54383522
#> 3660  0.75720142        0.40906630
#> 2315  0.80496918        0.69386900
#> 2592  0.78097195        0.37562486
#> 1680  0.62207999        0.38500097
#> 2865  0.78318682        0.55815184
#> 2354  0.78169364        0.55811408
#> 1959  0.68083888        0.31529977
#> 693   0.80366994        0.58338929
#> 2251  0.61157772        0.39842243
#> 33481 0.80137844        0.37870255
#> 7111  0.49839538        0.24552848
#> 1034  0.53479502        0.33467603
#> 1610  0.79168954        0.61398012
#> 22831 0.74394174        0.32869857
#> 3686  0.76322832        0.40860999
#> 3894  0.65968811        0.38869915
#> 586   0.81410379        0.34568475
#> 2389  0.81468594        0.55757570
#> 1766  0.67923370        0.30774522
#> 2914  0.74800436        0.38763175
#> 8561  0.74873124        0.41809639
#> 3415  0.50924938        0.20612320
#> 1324  0.68662713        0.26806598
#> 903   0.81827837        0.67686779
#> 931   0.87785486        0.48717998
#> 760   0.89020755        0.53115634
#> 2814  0.81322569        0.39190172
#> 3901  0.53535767        0.34691147
#> 2506  0.70295697        0.45560550
#> 754   0.80841385        0.48290705
#> 87    0.81908182        0.43725155
#> 3610  0.30976981        0.25063005
#> 3639  0.80744778        0.30392825
#> 3078  0.76704310        0.44998846
#> 2068  0.52770460        0.07250691
#> 1122  0.73967506        0.47240611
#> 3079  0.85770063        0.34030692
#> 676   0.53026189        0.37593722
#> 1521  0.74182391        0.57271693
#> 25610 0.65123915        0.34315771
#> 2979  0.50709566        0.14034281
#> 3388  0.74831615        0.37469411
#> 2369  0.82962532        0.38085797
#> 34081 0.89221898        0.58035584
#> 3728  0.77249996        0.36570196
#> 2893  0.68723281        0.26133221
#> 2383  0.82654338        0.22226252
#> 1752  0.83403038        0.34805917
#> 304   0.86617476        0.22098690
#> 2762  0.78676578        0.50970906
#> 2594  0.77626474        0.42771306
#> 3276  0.85529389        0.46718171
#> 3580  0.84977130        0.54252625
#> 725   0.83567538        0.48670471
#> 1623  0.60913094        0.22681482
#> 838   0.84432268        0.59379210
#> 1011  0.82404743        0.67406497
#> 2112  0.78662060        0.43992310
#> 3420  0.68184519        0.49774795
#> 522   0.61942373        0.45447263
#> 2219  0.71718547        0.31416731
#> 311   0.30324436        0.17910830
#> 1059  0.64104971        0.38048560
#> 668   0.79518530        0.28010509
#> 2302  0.45699133        0.20637497
#> 2456  0.75896071        0.34333663
#> 3326  0.87921241        0.65332970
#> 869   0.72934349        0.20949189
#> 2532  0.73740871        0.57815753
#> 1746  0.81775022        0.47054331
#> 1669  0.60243332        0.31214429
#> 211   0.78678033        0.40731421
#> 202   0.75346680        0.39071036
#> 1036  0.73324894        0.55435716
#> 2682  0.75813526        0.41253236
#> 1785  0.77314920        0.49413060
#> 3235  0.71579509        0.31099610
#> 1356  0.82750655        0.44684358
#> 1050  0.72638125        0.31309142
#> 678   0.73048467        0.41621350
#> 3028  0.83419266        0.59108152
#> 3252  0.76250769        0.38983267
#> 1209  0.83981321        0.42999206
#> 969   0.76198532        0.35465746
#> 1920  0.78285401        0.36426891
#> 302   0.83116593        0.41475798
#> 15011 0.89187308        0.52217342
#> 3975  0.74337529        0.26421566
#> 966   0.80555994        0.55516226
#> 1779  0.48485056        0.24033424
#> 1068  0.77605105        0.28634170
#> 2612  0.66295713        0.33746269
#> 3749  0.71993307        0.40270811
#> 2958  0.77398022        0.45738271
#> 1850  0.74385262        0.42399516
#> 45    0.75212927        0.47286133
#> 24411 0.68746092        0.48065518
#> 3431  0.52343884        0.24668462
#> 2375  0.80490030        0.32824989
#> 953   0.85737195        0.37207742
#> 3311  0.85303797        0.46921297
#> 462   0.86850987        0.40740103
#> 2113  0.68390198        0.40308062
#> 965   0.77517090        0.46879216
#> 21511 0.81229505        0.48966399
#> 21241 0.36000803        0.15057599
#> 399   0.86873080        0.58954341
#> 2701  0.76256340        0.44507799
#> 2331  0.78946099        0.33607358
#> 2892  0.87961952        0.36357546
#> 44    0.75312689        0.42832233
#> 3399  0.67644254        0.47471675
#> 2333  0.66865049        0.48457345
#> 393   0.82336255        0.37949937
#> 2271  0.79680203        0.45088208
#> 3293  0.84278589        0.40821912
#> 3069  0.61207058        0.37132768
#> 879   0.77701938        0.40192730
#> 1235  0.72631102        0.38912475
#> 196   0.82570630        0.42470590
#> 3915  0.87877622        0.66796876
#> 1990  0.82001205        0.44353088
#> 33341 0.20879188        0.12065481
#> 3652  0.82748873        0.47006361
#> 28601 0.85196119        0.39967224
#> 3973  0.59141438        0.25054973
#> 3117  0.79010860        0.46785820
#> 1097  0.71861378        0.36591837
#> 2095  0.54614820        0.14855284
#> 605   0.75073387        0.40255976
#> 2708  0.52503011        0.16420669
#> 24210 0.40695868        0.21961986
#> 27371 0.83726633        0.56858797
#> 356   0.26211986        0.26423709
#> 53    0.81619083        0.38888550
#> 12011 0.78350854        0.35337175
#> 479   0.42525609        0.12283542
#> 596   0.50144787        0.38293195
#> 33401 0.50626653        0.20087498
#> 1355  0.84833826        0.42786318
#> 15551 0.63292562        0.26905031
#> 1340  0.78356599        0.36151818
#> 626   0.75810601        0.35676185
#> 680   0.76154789        0.38483030
#> 1450  0.77191026        0.41505265
#> 1676  0.76241995        0.47603921
#> 3890  0.87089468        0.39637758
#> 3219  0.66850180        0.46991446
#> 1195  0.84213457        0.55937990
#> 1907  0.78946328        0.54391539
#> 983   0.67526777        0.52015298
#> 1089  0.83619295        0.46323844
#> 1427  0.80894141        0.41508340
#> 2011  0.72769789        0.28734694
#> 3416  0.68627428        0.25868762
#> 119   0.64050473        0.39692426
#> 3583  0.68114969        0.39644630
#> 29861 0.83053569        0.57045595
#> 1260  0.85365018        0.57311383
#> 3201  0.71894216        0.32426827
#> 3273  0.78838522        0.35607436
#> 2610  0.78087702        0.38173747
#> 30    0.77138550        0.43738002
#> 3704  0.78543694        0.60736186
#> 3295  0.79228775        0.45702906
#> 3886  0.83374310        0.61822544
#> 2820  0.69731366        0.38561371
#> 71    0.75940583        0.22995017
#> 1755  0.83681740        0.45593313
#> 280   0.81124535        0.53312393
#> 5411  0.83421906        0.60197621
#> 2305  0.64125520        0.45598538
#> 3797  0.82687316        0.51545925
#> 3362  0.78203983        0.27826856
#> 3647  0.86378918        0.41329487
#> 3875  0.70633989        0.33722170
#> 631   0.83297878        0.58588106
#> 848   0.68527830        0.29178605
#> 729   0.71378109        0.40920331
#> 3706  0.84214365        0.33920956
#> 3368  0.76165235        0.43244402
#> 2525  0.78298423        0.42338661
#> 3226  0.74199320        0.52871373
#> 2522  0.74063237        0.35735916
#> 3344  0.83630481        0.48670549
#> 27421 0.63879911        0.32769025
#> 3382  0.63769672        0.30620879
#> 1600  0.74390609        0.29128892
#> 3277  0.84507178        0.51421018
#> 3603  0.87781014        0.53136309
#> 519   0.51646671        0.30085724
#> 625   0.52307273        0.20286585
#> 414   0.69696730        0.29551245
#> 2344  0.79667741        0.29253554
#> 3731  0.78035664        0.52726520
#> 2625  0.49513543        0.35803122
#> 2232  0.84851400        0.42667280
#> 2751  0.41867339        0.12774300
#> 3787  0.88324413        0.31844860
#> 25861 0.62095356        0.41556966
#> 3673  0.65370790        0.43727254
#> 1915  0.82032366        0.50753926
#> 2848  0.80151350        0.68686867
#> 3999  0.69782246        0.25200445
#> 2264  0.81526382        0.45719264
#> 1139  0.75944280        0.41146792
#> 251   0.37570442        0.18970105
#> 3402  0.72679412        0.43676414
#> 1448  0.78889856        0.53271036
#> 233   0.72088132        0.22058857
#> 1162  0.84072720        0.38636685
#> 2841  0.76264126        0.59538775
#> 27561 0.72278601        0.21614937
#> 808   0.57299578        0.16882811
#> 2711  0.79194907        0.54690007
#> 3302  0.59177378        0.29859730
#> 2027  0.73257088        0.41469869
#> 781   0.88954717        0.51430434
#> 3151  0.44435765        0.33660190
#> 3278  0.76606943        0.70451046
#> 2144  0.62940061        0.19569193
#> 812   0.75551713        0.40649891
#> 3983  0.81651099        0.36696504
#> 2636  0.79767543        0.43548683
#> 3962  0.79315235        0.56663047
#> 369   0.83528839        0.30554132
#> 1978  0.76144495        0.42998993
#> 2499  0.78416343        0.47084605
#> 1987  0.78376072        0.61006009
#> 2167  0.75014667        0.44411727
#> 1710  0.69816652        0.57755731
#> 1819  0.69972435        0.43976140
#> 2748  0.53943786        0.36970579
#> 2659  0.81274566        0.45133415
#> 3272  0.76512397        0.28549113
#> 1715  0.45626007        0.32288248
#> 127   0.83181983        0.35789440
#> 3400  0.69371957        0.36803832
#> 2537  0.12406878        0.04074588
#> 2917  0.84001798        0.45402056
#> 874   0.89055711        0.67535021
#> 6310  0.66668054        0.35782096
#> 20091 0.53132255        0.37518278
#> 633   0.80345718        0.40557886
#> 2584  0.66104729        0.47821293
#> 3526  0.56752147        0.31890857
#> 3898  0.81406471        0.53680711
#> 2187  0.77831936        0.46613975
#> 3948  0.81321972        0.49763377
#> 1210  0.78462344        0.57690403
#> 877   0.85154676        0.36777762
#> 18581 0.79205721        0.58803509
#> 3558  0.78174402        0.43641133
#> 261   0.64758408        0.33407005
#> 3747  0.47543737        0.43954081
#> 2183  0.68563914        0.34277311
#> 397   0.81933599        0.47143831
#> 3944  0.71437056        0.28515253
#> 1205  0.83214475        0.50489021
#> 1053  0.80637259        0.49512818
#> 15391 0.72364074        0.24400258
#> 1482  0.66912164        0.35483904
#> 1083  0.68123920        0.30093196
#> 1642  0.76810321        0.43223613
#> 269   0.73232546        0.20706531
#> 4291  0.60459785        0.25337876
#> 622   0.74564311        0.41816005
#> 2802  0.82499590        0.55882405
#> 3332  0.42777444        0.21587683
#> 458   0.80072974        0.30856537
#> 2665  0.56769671        0.41028673
#> 702   0.68722082        0.43682065
#> 221   0.75615817        0.24949025
#> 1652  0.84765743        0.42204718
#> 750   0.79726747        0.46468454
#> 1168  0.81801435        0.45014022
#> 1114  0.87500504        0.71402072
#> 1366  0.87128384        0.66337123
#> 7941  0.67373838        0.32941375
#> 3945  0.78056163        0.64025054
#> 2508  0.71987115        0.37181406
#> 358   0.42273619        0.25031417
#> 2773  0.82635944        0.54684707
#> 248   0.78540613        0.46996682
#> 3598  0.87950876        0.58917626
#> 2156  0.62026832        0.44273012
#> 336   0.41353291        0.35849635
#> 3922  0.85275725        0.47669770
#> 1022  0.56000035        0.28591089
#> 2464  0.88206455        0.53140932
#> 1724  0.73710808        0.44535238
#> 1758  0.71761726        0.22656294
#> 976   0.73749566        0.44233233
#> 2378  0.82498198        0.51654007
#> 3549  0.88098249        0.54597855
#> 1443  0.65392238        0.32470470
#> 1537  0.72444841        0.39791186
#> 2308  0.70522543        0.40802133
#> 2348  0.81357913        0.41922915
#> 2224  0.25264993        0.10425013
#> 1403  0.67778350        0.29825068
#> 3172  0.78561652        0.60989222
#> 2630  0.83061988        0.56177604
#> 572   0.77130791        0.43281943
#> 908   0.67447222        0.31578126
#> 2334  0.76778318        0.33453332
#> 1585  0.69476556        0.23335196
#> 228   0.74759646        0.37918171
#> 2048  0.47570579        0.37935721
#> 1473  0.62245369        0.42526523
#> 910   0.78792947        0.64143007
#> 911   0.87641429        0.40504423
#> 3184  0.75035305        0.41770318
#> 891   0.69400886        0.34826469
#> 939   0.80639544        0.38748249
#> 46    0.71756899        0.33331100
#> 3425  0.79764314        0.48297896
#> 962   0.82104476        0.23028878
#> 3524  0.73239015        0.36988296
#> 3763  0.78171872        0.39959173
#> 3802  0.77809621        0.49918132
#> 2007  0.38709729        0.22553521
#> 1871  0.72691211        0.20037102
#> 539   0.84490330        0.34599355
#> 1500  0.85996482        0.59890045
#> 2563  0.77420216        0.22737357
#> 1832  0.85874037        0.32033219
#> 477   0.64371245        0.29396927
#> 1583  0.81030277        0.39235301
#> 3143  0.89985424        0.66528950
#> 692   0.76988499        0.47255413
#> 2386  0.89263077        0.35072935
#> 3756  0.66555591        0.41227090
#> 2570  0.71401617        0.31008113
#> 1953  0.68589997        0.44184641
#> 254   0.30308806        0.16678478
#> 946   0.81101674        0.44678296
#> 2195  0.71006625        0.30025330
#> 1401  0.41957461        0.20181439
#> 2461  0.86825603        0.37412214
#> 1131  0.69677430        0.43604539
#> 1487  0.86603755        0.52946271
#> 1914  0.66423270        0.15975926
#> 1125  0.57556769        0.37241495
#> 1099  0.82863913        0.62639987
#> 18421 0.69768619        0.21383337
#> 1560  0.72132829        0.27201965
#> 2729  0.81165992        0.44969605
#> 2741  0.73298950        0.35153767
#> 2519  0.62263531        0.35967486
#> 1030  0.53666569        0.20461339
#> 1359  0.70698834        0.39887283
#> 1150  0.76667327        0.46844928
#> 14981 0.75502275        0.44623895
#> 1494  0.79401494        0.60194981
#> 658   0.40885545        0.27107030
#> 2413  0.81221967        0.35914980
#> 34451 0.68907672        0.20796826
#> 14781 0.50768762        0.19152735
#> 1672  0.66657882        0.21310154
#> 1239  0.69029347        0.20054697
#> 2297  0.43546148        0.32216270
#> 3115  0.87635588        0.56746325
#> 2416  0.77266722        0.51408161
#> 2400  0.81026019        0.44803990
#> 2950  0.76358716        0.56623099
#> 3270  0.76865640        0.44609729
#> 3145  0.84728686        0.38127876
#> 39331 0.84061826        0.54014926
#> 3156  0.74917563        0.52065096
#> 195   0.80202440        0.56815884
#> 3261  0.19134712        0.12086122
#> 155   0.44968967        0.12723573
#> 2753  0.37551546        0.11338398
#> 33671 0.75936322        0.48164678
#> 1894  0.87203498        0.58598866
#> 1515  0.88497287        0.44283825
#> 3223  0.56522577        0.26579758
#> 3406  0.85038943        0.60210813
#> 2541  0.51896914        0.33328041
#> 51    0.79715989        0.41893831
#> 1691  0.72069720        0.39958029
#> 72    0.82391616        0.60539889
#> 3383  0.67184081        0.22688323
#> 2034  0.82662689        0.50298351
#> 3318  0.78104749        0.51184619
#> 3819  0.70744066        0.32471668
#> 1804  0.62877087        0.40828882
#> 2229  0.69888337        0.31329501
#> 2026  0.61138612        0.15862644
#> 2451  0.80466985        0.31109789
#> 1153  0.79354867        0.42677046
#> 2299  0.64681231        0.51045696
#> 114   0.65046233        0.51824902
#> 3659  0.82913387        0.75734996
#> 3259  0.40510114        0.15209712
#> 3870  0.70568902        0.33473248
#> 1983  0.74307782        0.32879319
#> 2693  0.78903605        0.54302066
#> 2761  0.62430349        0.26509803
#> 88    0.88074459        0.54496681
#> 824   0.62452600        0.43112061
#> 381   0.63779035        0.29495009
#> 8851  0.58241891        0.25738033
#> 3732  0.66587131        0.28167352
#> 2856  0.88706488        0.41052812
#> 2812  0.81530702        0.48058880
#> 888   0.69648261        0.43508918
#> 3553  0.83882167        0.42273024
#> 4711  0.62322511        0.55232973
#> 2437  0.60033725        0.35507324
#> 324   0.58211500        0.16291108
#> 222   0.80461825        0.44520515
#> 2619  0.83309982        0.47699243
#> 2452  0.82422641        0.58618408
#> 569   0.78197641        0.51048971
#> 1420  0.89294113        0.65763511
#> 2933  0.69788395        0.28897362
#> 1351  0.76067202        0.25397696
#> 2581  0.64739694        0.41916259
#> 2755  0.41528591        0.24633712
#> 1683  0.67471105        0.27177779
#> 3764  0.76308779        0.43931220
#> 2568  0.83773254        0.47350020
#> 2023  0.70939530        0.33548981
#> 3519  0.72100180        0.42546423
#> 2046  0.61408591        0.28167697
#> 3060  0.78690799        0.28688199
#> 2615  0.76384586        0.49892401
#> 398   0.76763914        0.35313822
#> 24121 0.79990536        0.44660368
#> 2580  0.65502054        0.31880022
#> 2343  0.60841115        0.48839649
#> 2044  0.65257218        0.27214475
#> 2921  0.74669874        0.28805522
#> 411   0.87453154        0.47372828
#> 3815  0.81086446        0.50907158
#> 413   0.73031639        0.32337653
#> 3934  0.83426533        0.65664289
#> 1206  0.87218108        0.32432480
#> 727   0.74295782        0.43409173
#> 2606  0.78034567        0.24889261
#> 840   0.85001343        0.47533602
#> 3497  0.83696785        0.56890575
#> 3174  0.87460368        0.48005993
#> 296   0.69248657        0.35706577
#> 1993  0.76477108        0.39337318
#> 2778  0.77374129        0.66496500
#> 17761 0.41466950        0.23683050
#> 2013  0.69262956        0.27614903
#> 1646  0.67616838        0.46082352
#> 1721  0.69566727        0.35516592
#> 1817  0.79683836        0.45262323
#> 2284  0.67702080        0.34103783
#> 1727  0.79105574        0.49096082
#> 3726  0.86439709        0.53686931
#> 2198  0.64714353        0.28401900
#> 3716  0.76158802        0.43564057
#> 655   0.55357239        0.22859323
#> 2178  0.60518488        0.14657711
#> 1286  0.83398118        0.47991682
#> 1013  0.59317209        0.20990209
#> 3878  0.68311610        0.39435071
#> 1127  0.86307892        0.52673322
#> 1791  0.86676945        0.43132067
#> 3418  0.35955839        0.11385961
#> 1110  0.75754412        0.28362890
#> 3653  0.72744775        0.30117368
#> 577   0.78034482        0.57074113
#> 2365  0.75352130        0.56314421
#> 3547  0.83301335        0.52654670
#> 208   0.63905881        0.39652360
#> 556   0.81469123        0.42340355
#> 1120  0.81191018        0.44416843
#> 3968  0.84545963        0.48629477
#> 2492  0.62769012        0.32415588
#> 2703  0.49841247        0.22253019
#> 1865  0.86505575        0.53099456
#> 23091 0.55385097        0.27582606
#> 2091  0.69417135        0.46425873
#> 1828  0.78944686        0.27044350
#> 239   0.61344778        0.30242051
#> 13341 0.84338460        0.43270509
#> 21    0.63443925        0.25143058
#> 3618  0.80864515        0.43644504
#> 2920  0.86834283        0.58383645
#> 1684  0.81830393        0.47548560
#> 3297  0.58020182        0.26842762
#> 1394  0.78929709        0.43232727
#> 1362  0.51281652        0.42966750
#> 34    0.79832614        0.33539692
#> 1432  0.83113284        0.50519997
#> 1658  0.77572414        0.36009398
#> 1930  0.83840603        0.39371321
#> 252   0.23417590        0.16906094
#> 32711 0.78764066        0.30045608
#> 1215  0.84913208        0.43295828
#> 2795  0.74148170        0.33420260
#> 1512  0.80862000        0.40292053
#> 1900  0.88016482        0.65395435
#> 1716  0.61542132        0.26172480
#> 3854  0.85356736        0.41346844
#> 2033  0.81238724        0.61244430
#> 1873  0.77835733        0.55745144
#> 2137  0.81998708        0.58921201
#> 3204  0.62396457        0.35662028
#> 3629  0.48314960        0.28260020
#> 2418  0.72340318        0.51850510
#> 2443  0.49300653        0.13852994
#> 3043  0.77105780        0.33973318
#> 791   0.60989568        0.36046419
#> 592   0.75033464        0.43075856
#> 1551  0.75895820        0.26706362
#> 31    0.84523170        0.42860009
#> 75    0.79845246        0.39222440
#> 2890  0.87548490        0.51906358
#> 3222  0.63448134        0.38819953
#> 2983  0.89747572        0.61255427
#> 3643  0.65412502        0.22360127
#> 637   0.75000426        0.41814318
#> 2560  0.82394804        0.45748135
#> 3292  0.82843067        0.50792936
#> 2153  0.74632303        0.22477121
#> 2092  0.60498505        0.38073638
#> 386   0.85328214        0.53804000
#> 2235  0.81997240        0.36336387
#> 3249  0.67429908        0.37121405
#> 2747  0.62108717        0.53447665
#> 2319  0.82926182        0.57170907
#> 1589  0.62748662        0.43060709
#> 2995  0.73813600        0.20690171
#> 3545  0.57888716        0.26342592
#> 3723  0.82324767        0.48363138
#> 23391 0.73136318        0.40118267
#> 344   0.57358408        0.30914597
#> 437   0.68127049        0.39290491
#> 6321  0.78887267        0.43470894
#> 3522  0.65091456        0.27111222
#> 2246  0.76930222        0.46286377
#> 1062  0.78421001        0.41993189
#> 2409  0.88261938        0.67133208
#> 1105  0.73571950        0.42698749
#> 2576  0.68065003        0.24928263
#> 1081  0.66996186        0.37856096
#> 3680  0.70668613        0.49139084
#> 225   0.67321167        0.29158009
#> 657   0.70247089        0.30976091
#> 2518  0.64628734        0.26003078
#> 1176  0.67309655        0.41919513
#> 3548  0.80679439        0.58507452
#> 3073  0.61974851        0.50598214
#> 2238  0.89317137        0.64824023
#> 1173  0.27429498        0.18348426
#> 822   0.51846502        0.32445315
#> 1486  0.81735845        0.49830976
#> 3183  0.70149504        0.37302065
#> 2454  0.81390813        0.47905571
#> 952   0.88745324        0.51082755
#> 796   0.83764669        0.40035439
#> 2445  0.69144307        0.39236642
#> 1531  0.85851154        0.43470710
#> 1277  0.84205464        0.57025304
#> 2504  0.76726553        0.47582942
#> 3467  0.73246168        0.34463716
#> 3772  0.87248209        0.66377809
#> 2595  0.32705961        0.16317589
#> 3920  0.86832081        0.48613132
#> 3992  0.79032222        0.29490640
#> 2767  0.84105475        0.42375180
#> 1244  0.80439674        0.45182183
#> 2739  0.56364484        0.28746638
#> 33    0.87859212        0.52717041
#> 990   0.75324408        0.26755210
#> 749   0.75651659        0.34504140
#> 2974  0.20505565        0.16948208
#> 1719  0.84575162        0.67634816
#> 120   0.75914866        0.56168412
#> 1322  0.82431458        0.45443660
#> 1720  0.85968792        0.46431906
#> 1523  0.70194896        0.57285810
#> 2140  0.63947684        0.42409495
#> 19601 0.85099028        0.41186461
#> 3316  0.89454345        0.53583255
#> 2129  0.83860332        0.30665491
#> 3650  0.81843867        0.54851982
#> 123   0.87000156        0.42960945
#> 1687  0.44873548        0.48982759
#> 15751 0.74722874        0.44155807
#> 30951 0.75209913        0.51007297
#> 2415  0.80433685        0.38660257
#> 3861  0.82764461        0.40492892
#> 3804  0.80647803        0.62581963
#> 646   0.47311559        0.13086946
#> 3011  0.23493993        0.22526042
#> 613   0.28932968        0.17286121
#> 141   0.79253664        0.51861871
#> 3141  0.89778979        0.61414939
#> 3938  0.80996911        0.58879300
#> 849   0.67817871        0.21407301
#> 784   0.51575877        0.43352729
#> 3879  0.62464587        0.29294629
#> 23471 0.83154422        0.52325590
#> 2484  0.84113496        0.47978784
#> 506   0.58593575        0.32847927
#> 1372  0.78744997        0.49913113
#> 2815  0.82340815        0.29970455
#> 3606  0.70432681        0.43788548
#> 244   0.57464884        0.25644444
#> 2549  0.45416068        0.27962509
#> 3244  0.59865229        0.38061058
#> 1346  0.81082956        0.50862603
#> 347   0.64008126        0.36107264
#> 1285  0.83597455        0.55983524
#> 1947  0.38773059        0.20491589
#> 303   0.85623491        0.64528958
#> 103   0.73160282        0.37559254
#> 3642  0.64177181        0.48622592
#> 7281  0.66139891        0.43710382
#> 3834  0.71475013        0.50742613
#> 978   0.76608727        0.37857991
#> 3021  0.69618469        0.38937200
#> 2134  0.77065598        0.44763391
#> 35371 0.84103453        0.42793333
#> 817   0.80570593        0.31981811
#> 3433  0.61887337        0.27856499
#> 1671  0.42449009        0.31340526
#> 827   0.79633841        0.55637389
#> 1977  0.58540334        0.12328246
#> 1306  0.63074678        0.38447211
#> 494   0.62191145        0.58410253
#> 3918  0.78239204        0.18837908
#> 3379  0.73480821        0.51890413
#> 2722  0.89758773        0.61265599
#> 2840  0.76059932        0.56405318
#> 355   0.63397670        0.46856243
#> 1864  0.87790736        0.50175147
#> 2613  0.69398834        0.24739522
#> 926   0.75788430        0.44859688
#> 1840  0.84422948        0.52879790
#> 23671 0.79109667        0.41458854
#> 2829  0.81327807        0.37209862
#> 3520  0.76002452        0.34017450
#> 1826  0.74348657        0.35187925
#> 1891  0.80603004        0.51610861
#> 2769  0.90496716        0.57293420
#> 1884  0.79395192        0.45934810
#> 2260  0.63255655        0.28941163
#> 3826  0.85888951        0.42786515
#> 2121  0.50139497        0.17154334
#> 1240  0.76797308        0.33704480
#> 1799  0.62257875        0.25428898
#> 3483  0.70109803        0.34448540
#> 677   0.30568290        0.12345040
#> 1217  0.89172272        0.46562095
#> 717   0.80632700        0.48136607
#> 2550  0.61145111        0.43459021
#> 2116  0.73694380        0.57536812
#> 126   0.84897591        0.43361900
#> 2306  0.79862969        0.30812779
#> 1794  0.51569324        0.22228000
#> 1931  0.83975795        0.47265238
#> 1065  0.75412377        0.39327884
#> 893   0.84294403        0.42085592
#> 1200  0.80799128        0.50865474
#> 2376  0.84645015        0.46058743
#> 3932  0.82352787        0.68637762
#> 359   0.38379307        0.47297760
#> 2081  0.62564014        0.40962184
#> 1165  0.71138656        0.48972954
#> 2617  0.71973707        0.48102792
#> 5111  0.72538623        0.46196499
#> 2705  0.73070130        0.18566366
#> 2725  0.87914540        0.46829781
#> 3972  0.76570718        0.54416763
#> 3091  0.76098028        0.60957216
#> 1208  0.81176498        0.36324706
#> 287   0.80007249        0.40741515
#> 845   0.58663099        0.39461704
#> 11131 0.83163867        0.36310649
#> 766   0.72358140        0.45087013
#> 16    0.71947509        0.44849579
#> 1988  0.78130573        0.53878350
#> 30751 0.71262700        0.55747013
#> 3838  0.80498696        0.62098523
#> 2604  0.75691666        0.31609882
#> 1754  0.85950971        0.44528952
#> 2196  0.65882502        0.35815541
#> 292   0.70824768        0.35395534
#> 961   0.74439387        0.43663042
#> 836   0.75500503        0.44041319
#> 2534  0.72877434        0.33119024
#> 868   0.76036639        0.35846083
#> 3363  0.50616182        0.28681093
#> 176   0.66544740        0.13993703
#> 2895  0.80773987        0.33243340
#> 2600  0.73147077        0.30933036
#> 1262  0.76519296        0.41187231
#> 493   0.86567694        0.46911672
#> 17961 0.67480254        0.47273744
#> 2304  0.42679327        0.16874890
#> 1294  0.80909162        0.28630992
#> 3448  0.77670518        0.55828902
#> 2650  0.61472540        0.36123278
#> 3131  0.78588760        0.44274473
#> 713   0.67101748        0.19989045
#> 2498  0.81939314        0.60274651
#> 1255  0.73060508        0.44977557
#> 1544  0.60134507        0.45012955
#> 841   0.83234228        0.51382546
#> 3738  0.72703148        0.51037735
#> 35081 0.78296140        0.38263459
#> 20151 0.62763388        0.27704163
#> 1409  0.68084784        0.27996140
#> 3811  0.78507994        0.35839766
#> 3438  0.67251421        0.48905819
#> 1962  0.79869025        0.45050176
#> 3199  0.74564966        0.32636066
#> 2839  0.77364302        0.57660412
#> 1940  0.76845252        0.43069635
#> 41    0.89095346        0.55880321
#> 734   0.83999479        0.40802636
#> 1595  0.69176061        0.44152673
#> 2770  0.83134431        0.44224852
#> 37571 0.57451691        0.25969109
#> 3411  0.68460861        0.48658111
#> 376   0.83459651        0.41558634
#> 582   0.81392384        0.36257417
#> 2161  0.82065799        0.64275488
#> 638   0.72182693        0.29736689
#> 255   0.49749268        0.20028239
#> 3871  0.82045206        0.44729347
#> 1021  0.70298650        0.38689596
#> 30291 0.66048429        0.18813100
#> 2942  0.77496015        0.57933121
#> 3825  0.65780297        0.47882857
#> 2468  0.81491783        0.46902547
#> 1542  0.76336744        0.41858581
#> 1756  0.81520842        0.38378985
#> 3579  0.48325476        0.48886591
#> 588   0.86147206        0.47754468
#> 3671  0.86346394        0.57427202
#> 3881  0.86154354        0.58528550
#> 1912  0.69295775        0.21629505
#> 17171 0.76867301        0.30559682
#> 291   0.72859773        0.47459855
#> 2106  0.66202590        0.39055224
#> 2575  0.84178676        0.34314170
#> 3486  0.48067995        0.17545357
#> 146   0.62568967        0.36591469
#> 391   0.85004838        0.43245611
#> 24381 0.61265300        0.35008234
#> 700   0.58757073        0.39537831
#> 18921 0.84083963        0.59840449
#> 1063  0.85367665        0.51242147
#> 1296  0.85675100        0.39156478
#> 1354  0.86501753        0.62108183
#> 1342  0.89444407        0.54778847
#> 3683  0.71205297        0.28527063
#> 1757  0.74164817        0.42120833
#> 2054  0.78917577        0.34389005
#> 335   0.76860789        0.38112303
#> 93    0.80046781        0.28663351
#> 2716  0.72113362        0.27018662
#> 537   0.76353517        0.51206916
#> 1707  0.69815953        0.47470574
#> 826   0.85807292        0.58016894
#> 3638  0.75217687        0.51500417
#> 1911  0.68049524        0.47759701
#> 3457  0.41225101        0.17883707
#> 3225  0.71159513        0.53195514
#> 3253  0.59040092        0.28997318
#> 373   0.69826962        0.35977129
#> 722   0.76900813        0.45101277
#> 2535  0.64773739        0.29759695
#> 1134  0.84436441        0.49638786
#> 2349  0.84943379        0.49675406
#> 2324  0.73025737        0.41860445
#> 1704  0.70464929        0.25320389
#> 1389  0.46936894        0.17465793
#> 2832  0.80710186        0.45224555
#> 3563  0.81825415        0.48255029
#> 1071  0.71599372        0.35965682
#> 16611 0.55524940        0.19084113
#> 2079  0.76009228        0.40741860
#> 3024  0.69343495        0.31531691
#> 2147  0.83460559        0.57305329
#> 7511  0.72323528        0.28988013
#> 2031  0.87097054        0.68739002
#> 928   0.86019156        0.42275105
#> 2533  0.77611267        0.37522307
#> 1580  0.77230609        0.50918902
#> 2651  0.68465576        0.31172720
#> 2     0.73579129        0.39910526
#> 37451 0.53439667        0.31893262
#> 589   0.87206996        0.70086181
#> 1470  0.59290227        0.31453515
#> 2567  0.87453653        0.38560262
#> 1187  0.84987610        0.39574198
#> 108   0.82423616        0.55991880
#> 2825  0.60789726        0.21174195
#> 2381  0.83350975        0.40569827
#> 410   0.86524540        0.55693445
#> 785   0.74261594        0.30327145
#> 3869  0.44640340        0.10474787
#> 2396  0.83634070        0.47216701
#> 867   0.66610485        0.31239111
#> 3239  0.77187613        0.51009750
#> 392   0.80947501        0.39143459
#> 844   0.62041105        0.33011522
#> 1066  0.76671934        0.45465915
#> 2098  0.66078737        0.52217324
#> 2608  0.85890880        0.55211531
#> 797   0.88804984        0.60203052
#> 157   0.56951766        0.21828016
#> 2731  0.85485322        0.51032413
#> 2837  0.70614715        0.31823717
#> 2242  0.77981191        0.47526018
#> 2962  0.69036677        0.48057470
#> 986   0.85461617        0.67593537
#> 505   0.56431043        0.36875242
#> 618   0.75091338        0.46197908
#> 3366  0.79466208        0.33341971
#> 1163  0.83160189        0.44136614
#> 1442  0.73675122        0.39932956
#> 510   0.76093598        0.57835606
#> 3353  0.85738880        0.48043463
#> 3454  0.64133341        0.24597606
#> 2460  0.83538953        0.54249759
#> 3717  0.67790803        0.22930750
#> 3769  0.82724988        0.47797161
#> 3358  0.88432255        0.43600619
#> 602   0.71206725        0.37465357
#> 150   0.64530862        0.43715677
#> 1040  0.83465940        0.55636806
#> 2433  0.79909710        0.38336606
#> 2967  0.73687917        0.24923053
#> 3052  0.70578345        0.36098181
#> 3641  0.71498647        0.28259627
#> 1787  0.88079768        0.42857966
#> 799   0.84860055        0.49728418
#> 1592  0.76165935        0.54174290
#> 3038  0.88292372        0.71121282
#> 2894  0.61234629        0.36295380
#> 2361  0.78310984        0.44420841
#> 2472  0.84765069        0.44057654
#> 118   0.45975147        0.21982382
#> 2669  0.75098650        0.45473049
#> 1507  0.81008704        0.54406157
#> 325   0.65979174        0.35378114
#> 456   0.76751743        0.55369497
#> 3134  0.87526442        0.60264711
#> 1895  0.77012671        0.46829584
#> 3313  0.90151779        0.39766565
#> 2963  0.73764041        0.32288090
#> 921   0.66672380        0.32667393
#> 3237  0.83567436        0.33455196
#> 1024  0.52444156        0.15150893
#> 340   0.71663162        0.43963515
#> 1824  0.73055163        0.38707151
#> 2582  0.40871550        0.36540995
#> 387   0.84192875        0.51693649
#> 566   0.85147569        0.33429419
#> 3719  0.82980937        0.59579466
#> 2896  0.71001943        0.58846571
#> 1077  0.86077358        0.53272788
#> 2157  0.65099066        0.33535907
#> 3137  0.68212990        0.32129821
#> 32161 0.79737286        0.56606015
#> 3107  0.85299958        0.42675182
#> 189   0.82947030        0.38396294
#> 2233  0.78850681        0.69076976
#> 1231  0.82700380        0.52802463
#> 3034  0.65846261        0.24719997
#> 3012  0.47645942        0.31773738
#> 186   0.59989830        0.40497385
#> 1647  0.69773500        0.52763058
#> 1002  0.82737194        0.38925602
#> 145   0.68789288        0.31966020
#> 2268  0.82075593        0.56561556
#> 1182  0.77589759        0.38498110
#> 2913  0.76319019        0.30022188
#> 1793  0.61957610        0.30510863
#> 1898  0.74228972        0.37308741
#> 1257  0.84189048        0.45744853
#> 3540  0.65699661        0.34698990
#> 3998  0.78944099        0.35968951
#> 3843  0.84241834        0.39091303
#> 2578  0.53331617        0.15669166
#> 1744  0.86105650        0.40471982
#> 2688  0.86368376        0.43179231
#> 35    0.76276377        0.31998372
#> 3111  0.79300400        0.50515757
#> 3801  0.80430787        0.56215262
#> 2040  0.72035258        0.36710033
#> 675   0.53326001        0.33011888
#> 3592  0.76847903        0.28051569
#> 3566  0.68097344        0.22234533
#> 1997  0.58002844        0.27599495
#> 11721 0.55712495        0.38341675
#> 2487  0.86524028        0.49585882
#> 2064  0.40768357        0.12774516
#> 919   0.83415714        0.69676182
#> 16301 0.70094281        0.52374256
#> 3391  0.63556111        0.31258171
#> 682   0.84763033        0.65769865
#> 2239  0.83969438        0.39509384
#> 1855  0.71982643        0.34398889
#> 1005  0.82026379        0.40242091
#> 3338  0.74778122        0.41232658
#> 741   0.82319035        0.51320460
#> 863   0.65758427        0.15173867
#> 1341  0.84077861        0.47142021
#> 1916  0.80999036        0.37092366
#> 1092  0.67555393        0.54245974
#> 236   0.83970890        0.49211682
#> 2223  0.57405372        0.44723303
#> 1161  0.82207960        0.40719892
#> 3649  0.79994947        0.33478116
#> 2932  0.74547940        0.45893362
#> 3536  0.77369130        0.38549048
#> 22661 0.86199646        0.58889939
#> 3209  0.72057686        0.22077653
#> 1698  0.37178403        0.08903994
#> 2805  0.85729395        0.65270181
#> 9721  0.65118309        0.21642591
#> 2746  0.78390529        0.48018896
#> 3786  0.76491554        0.32125609
#> 271   0.73808757        0.32516975
#> 453   0.89869362        0.72088092
#> 3533  0.83708933        0.28629195
#> 395   0.90097497        0.66005830
#> 2141  0.73017537        0.28233939
#> 3965  0.86588480        0.59953970
#> 2908  0.82528547        0.58289363
#> 68    0.73438855        0.33785292
#> 2766  0.81835395        0.47141666
#> 3471  0.79441479        0.32769423
#> 13091 0.85802598        0.42868130
#> 3525  0.72590393        0.34527290
#> 3083  0.31623897        0.10030252
#> 249   0.71609647        0.50603540
#> 394   0.88749746        0.56092732
#> 3036  0.84490236        0.38443820
#> 1082  0.60557463        0.34528930
#> 1337  0.74855407        0.34720986
#> 780   0.81294002        0.38460709
#> 2782  0.83624507        0.36633048
#> 2712  0.83511829        0.42774464
#> 1674  0.73192679        0.41667059
#> 3200  0.71112268        0.28003125
#> 2632  0.67324400        0.38020822
#> 647   0.58242085        0.32981411
#> 1123  0.66707352        0.23066271
#> 2481  0.87714007        0.67505040
#> 872   0.79664522        0.42727970
#> 32961 0.86481409        0.41114779
#> 3955  0.88925733        0.50430842
#> 1103  0.51628033        0.27994951
#> 595   0.85570102        0.64875969
#> 1174  0.17297452        0.08987679
#> 2164  0.78053592        0.26487596
#> 2469  0.89535765        0.43074503
#> 3722  0.81574203        0.28661489
#> 3490  0.61175603        0.26632617
#> 1874  0.82602112        0.37085734
#> 2021  0.78848630        0.43251148
#> 3957  0.66964467        0.40947463
#> 3044  0.81595121        0.62430591
#> 1154  0.66500009        0.20098366
#> 3930  0.87553583        0.36429222
#> 777   0.78887852        0.51691207
#> 3617  0.80123330        0.60328279
#> 3419  0.84883916        0.38885506
#> 31510 0.67161179        0.46392016
#> 536   0.71875475        0.17825751
#> 3444  0.60303609        0.29398059
#> 3014  0.54142278        0.38127278
#> 323   0.67796875        0.24108346
#> 3995  0.82951563        0.34503930
#> 1848  0.83998620        0.43281042
#> 361   0.60615188        0.32942224
#> 3784  0.61888602        0.28600986
#> 2427  0.78554070        0.50279819
#> 643   0.77321335        0.33563856
#> 3136  0.61393638        0.24678031
#> 1175  0.39227160        0.15447806
#> 3321  0.59814934        0.26788093
#> 2949  0.70456443        0.43749143
#> 79    0.88067594        0.47082724
#> 38921 0.84085038        0.61703082
#> 1361  0.66159420        0.50173541
#> 2801  0.73387195        0.31830060
#> 1554  0.51747783        0.15082201
#> 1261  0.76980028        0.25757651
#> 1547  0.70029956        0.28911057
#> 1762  0.83498662        0.30849253
#> 1428  0.66981133        0.39208082
#> 3492  0.58544916        0.28491825
#> 3329  0.86829810        0.50034987
#> 2734  0.83735256        0.56619263
#> 3628  0.48322700        0.28534409
#> 1549  0.79715272        0.44244669
#> 1313  0.83003234        0.34286711
#> 562   0.84297674        0.36783171
#> 673   0.70938482        0.46615415
#> 5481  0.68739751        0.38790838
#> 2806  0.85485142        0.54882149
#> 17841 0.79082796        0.43210006
#> 886   0.71164918        0.48860136
#> 2447  0.80919810        0.59969195
#> 3211  0.67356663        0.36539048
#> 975   0.82636878        0.42772103
#> 3847  0.82710818        0.37467885
#> 1908  0.77750933        0.30608727
#> 209   0.58896183        0.20295485
#> 1970  0.85787450        0.51763686
#> 352   0.72670654        0.23722379
#> 1456  0.88973231        0.43557833
#> 688   0.73473518        0.46224023
#> 665   0.87646007        0.60567947
#> 1975  0.80057342        0.45875290
#> 2201  0.67260264        0.31733287
#> 2261  0.52865305        0.39436504
#> 346   0.74822511        0.45489275
#> 3989  0.87777332        0.73483736
#> 354   0.63370345        0.26461371
#> 2470  0.89381278        0.48367994
#> 2916  0.86771327        0.44020280
#> 2973  0.51664197        0.17321491
#> 2477  0.81660581        0.44987503
#> 3575  0.66623880        0.30519039
#> 530   0.79069453        0.50523153
#> 2274  0.84907582        0.55122168
#> 1713  0.58747544        0.33992912
#> 2211  0.65601845        0.44469986
#> 1288  0.79606140        0.42644226
#> 3228  0.69642994        0.45952292
#> 4     0.77771616        0.43406192
#> 3517  0.76050833        0.40809515
#> 2797  0.88319030        0.48074040
#> 546   0.84609644        0.50279320
#> 3456  0.31407120        0.21444159
#> 33061 0.60281461        0.23723712
#> 2186  0.69200466        0.44713098
#> 3377  0.72483505        0.44005243
#> 1142  0.34929463        0.17269427
#> 2058  0.79809749        0.49743738
#> 2774  0.86998291        0.28789824
#> 2822  0.74280301        0.27347817
#> 3162  0.85651774        0.41835689
#> 19921 0.64195968        0.42090019
#> 2935  0.78393087        0.29873881
#> 771   0.69196581        0.32248308
#> 3477  0.88430193        0.32296000
#> 447   0.79529158        0.48677576
#> 2173  0.81256611        0.46419346
#> 3518  0.69893169        0.46975857
#> 478   0.67151003        0.48503017
#> 2398  0.85246835        0.48679645
#> 1688  0.81730825        0.65815137
#> 2944  0.83673521        0.56454830
#> 481   0.19430471        0.10887915
#> 371   0.85722691        0.47261056
#> 2019  0.49997543        0.15406828
#> 2901  0.81706359        0.37690200
#> 161   0.81542315        0.56110395
#> 3770  0.84095029        0.44525649
#> 866   0.72496697        0.40311455
#> 172   0.86357713        0.34977824
#> 439   0.85713072        0.41613395
#> 1143  0.78476030        0.41619970
#> 1733  0.84477398        0.36929683
#> 3089  0.53179101        0.32195692
#> 1016  0.63651705        0.24442659
#> 1276  0.86343133        0.50709049
#> 2885  0.78372874        0.38113579
#> 1382  0.64054361        0.48317347
#> 1675  0.77419243        0.54402375
#> 15291 0.87895635        0.49169490
#> 609   0.69258156        0.39223864
#> 2430  0.78530590        0.50279133
#> 3269  0.82771321        0.39675370
#> 2103  0.81532246        0.43768994
#> 9941  0.80986922        0.36449124
#> 1492  0.83378886        0.26941589
#> 2912  0.70235534        0.57743960
#> 2791  0.58753812        0.26336539
#> 2513  0.70781943        0.46642696
#> 1660  0.55619250        0.21607208
#> 1835  0.80659721        0.41763944
#> 1491  0.87586154        0.48275582
#> 3289  0.75711606        0.50139993
#> 2783  0.81647753        0.45735163
#> 396   0.81416359        0.56955438
#> 805   0.53239783        0.28417144
#> 1051  0.77012991        0.47485729
#> 2667  0.74179505        0.58485816
#> 2661  0.73625455        0.55948376
#> 2075  0.54570414        0.30931194
#> 28    0.71865547        0.63668418
#> 2133  0.77330349        0.49190713
#> 34591 0.68343142        0.31149058
#> 1090  0.74961864        0.55916477
#> 1191  0.87076232        0.56092751
#> 2984  0.81165176        0.51674465
#> 2546  0.35723329        0.19396823
#> 1012  0.55658440        0.32773667
#> 518   0.54038531        0.21563550
#> 1044  0.74916492        0.35726583
#> 1094  0.71719596        0.42359618
#> 3766  0.78207359        0.39917999
#> 22610 0.75180635        0.44213445
#> 2978  0.43056832        0.28254992
#> 3346  0.82100118        0.44427914
#> 170   0.89029059        0.52198823
#> 2552  0.67537119        0.27470582
#> 3748  0.50281753        0.19776189
#> 1518  0.82800957        0.34906759
#> 12781 0.59639978        0.33764466
#> 2743  0.72970043        0.47493264
#> 4000  0.84351975        0.33432572
#> 1584  0.82114545        0.42033628
#> 3556  0.85358483        0.41444346
#> 2374  0.74725178        0.43889668
#> 3180  0.72538735        0.30773904
#> 2589  0.83032086        0.44551278
#> 1612  0.77354643        0.36844942
#> 468   0.84299314        0.47914509
#> 2692  0.84281730        0.53475165
#> 3658  0.78334824        0.27790972
#> 3963  0.81512291        0.45485609
#> 1367  0.82757592        0.59665244
#> 1344  0.79242292        0.44291061
#> 1339  0.73258767        0.33182603
#> 2190  0.81675561        0.43555202
#> 218   0.87846012        0.47725173
#> 927   0.85897734        0.57033909
#> 3584  0.66515465        0.26188483
#> 3616  0.79845813        0.46425216
#> 3463  0.37650590        0.14387666
#> 941   0.85428130        0.42611954
#> 561   0.78709364        0.46289146
#> 1662  0.71426720        0.55036236
#> 122   0.85572249        0.68763818
#> 2047  0.36262230        0.16916545
#> 22571 0.57138413        0.45402813
#> 2635  0.76087466        0.43823063
#> 1673  0.74321101        0.27844523
#> 279   0.80891256        0.53445865
#> 1854  0.83631198        0.59406290
#> 3121  0.83596598        0.60312203
#> 736   0.82836972        0.36022301
#> 2022  0.73990179        0.30448469
#> 20    0.62812364        0.52902277
#> 3248  0.65516427        0.26154231
#> 636   0.62764444        0.25714060
#> 9321  0.77667814        0.30322167
#> 3430  0.72137604        0.42389498
#> 496   0.69769797        0.43165061
#> 778   0.88409842        0.50031488
#> 62    0.83257495        0.36738524
#> 1935  0.66460468        0.40852555
#> 3721  0.89210763        0.62293342
#> 39691 0.82690660        0.59139294
#> 2070  0.69797973        0.34221772
#> 3734  0.78701744        0.54317754
#> 3621  0.71491879        0.31838459
#> 231   0.90016463        0.44683050
#> 3601  0.84846185        0.66866298
#> 368   0.77308802        0.22250833
#> 2222  0.34100468        0.19343366
#> 1357  0.80874304        0.42467133
#> 1730  0.72889647        0.29961539
#> 2799  0.86746210        0.44058468
#> 606   0.85258419        0.57808948
#> 19291 0.88812103        0.61283164
#> 3857  0.88508553        0.35444620
#> 1516  0.80721487        0.32409716
#> 2008  0.59556602        0.52492364
#> 1046  0.81125345        0.26268368
#> 520   0.73846580        0.50927837
#> 2045  0.44829007        0.15986167
#> 1745  0.85440762        0.47191119
#> 21661 0.82416750        0.31458075
#> 38511 0.87025320        0.65471725
#> 3205  0.73753215        0.46569572
#> 1186  0.81433120        0.53236176
#> 36051 0.69526408        0.51528434
#> 2042  0.87358147        0.54080953
#> 3493  0.58387422        0.16773445
#> 203   0.84979641        0.24625627
#> 603   0.74074467        0.21805427
#> 2465  0.79139308        0.39750908
#> 2836  0.57446582        0.46797539
#> 348   0.65216957        0.34540483
#> 1933  0.69734334        0.29688262
#> 3713  0.56350404        0.18505816
#> 83    0.62945695        0.56318631
#> 1465  0.71740955        0.39642686
#> 1919  0.86521848        0.46151969
#> 428   0.82404286        0.61959083
#> 1581  0.61936959        0.38590626
#> 1070  0.64150819        0.42608468
#> 698   0.65256356        0.34937962
#> 2300  0.30364364        0.13891022
#> 3865  0.80519052        0.44439800
#> 3364  0.77488881        0.27077415
#> 1476  0.60378715        0.23242265
#> 3387  0.83793344        0.36132199
#> 3265  0.38809142        0.19490467
#> 3098  0.64097079        0.46627650
#> 2488  0.84690378        0.28420295
#> 1615  0.68981816        0.41906714
#> 2436  0.47689027        0.30817731
#> 3109  0.83003280        0.30610718
#> 3743  0.47200695        0.16324734
#> 1968  0.81965802        0.32750179
#> 25871 0.71156659        0.41064331
#> 22131 0.82375838        0.37756700
#> 3521  0.72945973        0.32963622
#> 1279  0.58399793        0.46821595
#> 1685  0.80746800        0.59693099
#> 2318  0.80902133        0.58572499
#> 1994  0.87095831        0.46470920
#> 1641  0.70898708        0.29329861
#> 1236  0.79456083        0.53176455
#> 2366  0.79360718        0.45998554
#> 3093  0.74594967        0.40156446
#> 1534  0.64785502        0.41665580
#> 2442  0.75713548        0.30440493
#> 4161  0.77393046        0.40145821
#> 3627  0.70825001        0.36108364
#> 2420  0.79724703        0.44634779
#> 3844  0.86323998        0.32516263
#> 1945  0.67835811        0.31558478
#> 1170  0.40022625        0.19851852
#> 5741  0.76291121        0.42966763
#> 54    0.83217463        0.40056538
#> 3257  0.56855206        0.47387310
#> 400   0.79366061        0.42255598
#> 2945  0.85575595        0.43874007
#> 2067  0.53706175        0.21740384
#> 2128  0.78484696        0.31381710
#> 721   0.84848401        0.54018275
#> 542   0.86545638        0.57924490
#> 1400  0.56831367        0.31228775
#> 29721 0.65547200        0.34755513
#> 2104  0.80670346        0.59238351
#> 995   0.85029236        0.43855394
#> 3450  0.70226822        0.36027727
#> 1517  0.74725639        0.51649195
#> 3186  0.53850801        0.32031337
#> 24111 0.85254663        0.67795020
#> 421   0.85891923        0.59606503
#> 1300  0.79338739        0.40043144
#> 22    0.74053071        0.54223557
#> 2879  0.82594354        0.53645231
#> 1438  0.87163037        0.54752146
#> 2247  0.80070613        0.53789790
#> 1815  0.72425911        0.23905328
#> 2529  0.64696656        0.23890469
#> 2301  0.46963971        0.27661399
#> 3736  0.81113148        0.60975462
#> 1772  0.22862927        0.23889572
#> 1950  0.65076416        0.36645796
#> 3153  0.80269381        0.29825242
#> 1268  0.70204474        0.32873372
#> 2218  0.57199874        0.23995312
#> 759   0.86306646        0.57369587
#> 2882  0.83298443        0.43692264
#> 3496  0.84277108        0.42402612
#> 3889  0.81766647        0.47268721
#> 190   0.84282662        0.40323862
#> 3301  0.52627624        0.27164316
#> 1735  0.82993974        0.70714838
#> 2310  0.44162358        0.13491981
#> 524   0.78568849        0.24750533
#> 1184  0.90065734        0.55745376
#> 1474  0.55734715        0.35690987
#> 19261 0.80386885        0.18827418
#> 313   0.41956865        0.15152547
#> 33141 0.88915523        0.58632124
#> 2670  0.78949828        0.41635816
#> 3946  0.69358337        0.28875028
#> 3727  0.81013910        0.42594494
#> 1663  0.72954048        0.39825434
#> 753   0.87585900        0.50239358
#> 310   0.55826555        0.30224002
#> 663   0.87161938        0.55672278
#> 3625  0.60470465        0.40122993
#> 1617  0.80178403        0.56879727
#> 2458  0.70922413        0.35879756
#> 1957  0.49932162        0.32069386
#> 276   0.80295315        0.30562830
#> 3551  0.77070005        0.35223761
#> 1292  0.85159196        0.60777354
#> 918   0.85670154        0.34926723
#> 1495  0.66116034        0.39121377
#> 23    0.75777291        0.48126607
#> 4081  0.82470050        0.56439476
#> 930   0.85780570        0.35064825
#> 2135  0.76403383        0.54477780
#> 2432  0.76786198        0.25857316
#> 3165  0.54807361        0.29180763
#> 3202  0.35907775        0.13877185
#> 31571 0.84052454        0.50069370
#> 178   0.81231964        0.38118397
#> 2237  0.72345232        0.43597139
#> 1805  0.57738645        0.41215227
#> 2083  0.57356008        0.31183624
#> 404   0.85672983        0.45450158
#> 3684  0.64365709        0.48926065
#> 307   0.59802679        0.25705394
#> 3386  0.71540910        0.33070837
#> 9291  0.88484908        0.39801773
#> 22301 0.56555387        0.39167231
#> 2001  0.56307686        0.19706363
#> 3283  0.77917888        0.34136338
#> 1852  0.76612946        0.45960479
#> 2338  0.82483773        0.49109918
#> 3462  0.70103500        0.27129127
#> 3489  0.65140448        0.26775430
#> 1406  0.74945656        0.47994927
#> 3485  0.56340294        0.42439135
#> 1909  0.69433143        0.41534629
#> 1108  0.82263640        0.42742931
#> 2759  0.62919092        0.35932633
#> 1472  0.62740826        0.40454322
#> 1736  0.73563992        0.44281339
#> 1790  0.86516295        0.46062995
#> 3241  0.82005434        0.42399867
#> 628   0.46217369        0.21763555
#> 3100  0.48659361        0.28573014
#> 2677  0.82045037        0.25842094
#> 3685  0.64199590        0.53954419
#> 2028  0.77629879        0.29599771
#> 1849  0.75147302        0.33936882
#> 29601 0.79512979        0.37542185
#> 3634  0.78823877        0.38121675
#> 2899  0.73523735        0.49673455
#> 401   0.84444612        0.41574997
#> 1901  0.88000710        0.51728094
#> 2745  0.75852323        0.36617268
#> 687   0.77516084        0.38919501
#> 3824  0.81473015        0.50199154
#> 3341  0.62552893        0.31646081
#> 2696  0.75169755        0.35403077
#> 2501  0.69482060        0.40028879
#> 529   0.86742684        0.64260701
#> 3161  0.84189939        0.41200083
#> 740   0.73563070        0.47462227
#> 3229  0.78103899        0.41524679
#> 846   0.62802983        0.10246066
#> 2380  0.81504026        0.44215104
#> 1158  0.81709972        0.37854483
#> 1801  0.80045314        0.46282120
#> 12631 0.88143574        0.47838205
#> 1190  0.85177337        0.55595521
#> 3916  0.77318823        0.42868196
#> 3016  0.66753880        0.47164156
#> 174   0.86875050        0.45538729
#> 3030  0.56371059        0.13481668
#> 2788  0.76482235        0.50084444
#> 350   0.65703503        0.27380056
#> 28761 0.73698632        0.42029294
#> 2514  0.79968649        0.43837638
#> 3026  0.77035476        0.42878233
#> 2591  0.73166810        0.39305636
#> 1781  0.68885214        0.36048237
#> 22761 0.81764590        0.43918504
#> 803   0.76306931        0.40270004
#> 3622  0.65170292        0.55518429
#> 3127  0.84464862        0.40248232
#> 1783  0.74668786        0.36950439
#> 2462  0.89009763        0.44231946
#> 860   0.80379305        0.52950239
#> 306   0.76676335        0.41876461
#> 3466  0.58154921        0.24908087
#> 502   0.44391861        0.25448728
#> 1436  0.75455084        0.37647238
#> 423   0.72821821        0.33088792
#> 3905  0.71534090        0.55350381
#> 2758  0.85282487        0.56996847
#> 36    0.70741357        0.21505789
#> 1656  0.68337342        0.40551332
#> 2941  0.83388219        0.53805585
#> 3657  0.73237927        0.48062780
#> 2571  0.78567356        0.37279624
#> 1434  0.84248554        0.50478322
#> 1319  0.65616952        0.33537556
#> 1836  0.74680175        0.42224125
#> 1033  0.70184348        0.48396290
#> 3842  0.86346592        0.44802275
#> 697   0.85245115        0.54542780
#> 2314  0.70208984        0.50677951
#> 2530  0.61099733        0.33146389
#> 3573  0.52737840        0.29195961
#> 2020  0.41031269        0.27723784
#> 212   0.78601352        0.24993698
#> 1295  0.84500717        0.45064960
#> 1932  0.73646861        0.32272487
#> 367   0.80588450        0.41817350
#> 664   0.85815537        0.49540350
#> 2163  0.81111947        0.44575101
#> 84    0.82800230        0.57890154
#> 2293  0.28459091        0.09206730
#> 793   0.76840938        0.48078575
#> 737   0.82050011        0.58345422
#> 3103  0.59280252        0.26039966
#> 3796  0.72081957        0.35108648
#> 614   0.40636337        0.24640323
#> 480   0.34054823        0.14451812
#> 1703  0.61249558        0.33306737
#> 958   0.81811672        0.48741949
#> 69    0.72420467        0.38414687
#> 1769  0.35450864        0.21350769
#> 234   0.76596656        0.45496134
#> 1106  0.78368971        0.24756333
#> 1454  0.80159091        0.37977785
#> 2207  0.71002299        0.45861723
#> 554   0.79790844        0.41461455
#> 1559  0.69332530        0.24083120
#> 2544  0.62788435        0.41726227
#> 2710  0.78986864        0.57816930
#> 37951 0.79106559        0.37763322
#> 94    0.73727079        0.33458520
#> 2936  0.84601687        0.61676049
#> 3412  0.70831886        0.22255220
#> 2593  0.60116112        0.41987112
#> 2813  0.77671659        0.42432814
#> 2326  0.53063123        0.25084988
#> 14661 0.85335228        0.38666750
#> 967   0.57609143        0.14971404
#> 1348  0.78266037        0.47408697
#> 3887  0.79045050        0.48524839
#> 3352  0.82014398        0.43833853
#> 3733  0.76029059        0.48897737
#> 2870  0.67838280        0.26328967
#> 3550  0.78552404        0.47458645
#> 2188  0.88162175        0.35159761
#> 1360  0.54821149        0.33648374
#> 1230  0.82535903        0.47532385
#> 2074  0.78077055        0.33943079
#> 31691 0.75603576        0.43369703
#> 2559  0.80906695        0.29663794
#> 1622  0.77218023        0.40063570
#> 1152  0.85634962        0.40021723
#> 2093  0.57979129        0.32864407
#> 2194  0.65850634        0.19038348
#> 802   0.76151499        0.42122773
#> 7     0.67299599        0.61632246
#> 1023  0.42835985        0.23635536
#> 1312  0.86989338        0.47040847
#> 1508  0.76691766        0.65658089
#> 3891  0.80875290        0.47103120
#> 772   0.61322205        0.21967031
#> 3481  0.65067674        0.35918187
#> 9     0.53076680        0.21509804
#> 1338  0.76526157        0.37410428
#> 3893  0.72581489        0.33044118
#> 2203  0.70260187        0.30740245
#> 1966  0.60011123        0.20121788
#> 1431  0.87491280        0.72623486
#> 47    0.80895415        0.30870157
#> 2888  0.79717170        0.58655064
#> 731   0.69001921        0.40274249
#> 672   0.79282696        0.44821188
#> 2180  0.36674183        0.32030081
#> 10791 0.85511788        0.61308264
#> 1700  0.33811933        0.24037782
#> 823   0.37263708        0.23257739
#> 1943  0.74511009        0.36569906
#> 3435  0.44893314        0.30395321
#> 3250  0.62191629        0.32534291
#> 3776  0.75422054        0.23329876
#> 1317  0.71334860        0.40087458
#> 230   0.81876922        0.31594711
#> 2646  0.58275793        0.31138250
#> 1941  0.83661759        0.42921029
#> 2480  0.85754941        0.42106398
#> 1586  0.83526582        0.40540695
#> 2785  0.72203410        0.14126925
#> 500   0.75195331        0.36119892
#> 786   0.40299314        0.17185975
#> 168   0.80176268        0.32846838
#> 38171 0.89861868        0.71354760
#> 2666  0.75992506        0.44493270
#> 2909  0.86216286        0.37758692
#> 689   0.88268665        0.48295584
#> 2234  0.71275165        0.46196294
#> 3404  0.82625853        0.45592631
#> 2336  0.68787513        0.34041147
#> 2579  0.69626965        0.31083352
#> 800   0.82388349        0.44870288
#> 2623  0.62850652        0.31398118
#> 1447  0.61674950        0.16277022
#> 1775  0.64037949        0.26646480
#> 3754  0.52524696        0.33557741
#> 1032  0.59159353        0.38072488
#> 2966  0.48433154        0.25858912
#> 1888  0.78363809        0.36907816
#> 2357  0.78302054        0.59707126
#> 710   0.21665099        0.19642136
#> 175   0.85553250        0.36240147
#> 2551  0.59639263        0.36701902
#> 2640  0.82235253        0.43441263
#> 440   0.79860306        0.24273591
#> 1368  0.83529953        0.49785914
#> 3626  0.74166855        0.42529006
#> 2869  0.69024389        0.45822627
#> 3323  0.69421746        0.24094402
#> 1513  0.80105879        0.34964894
#> 2953  0.80574308        0.36420726
#> 1061  0.81311076        0.41678541
#> 6301  0.64882691        0.23679842
#> 2875  0.74070390        0.45118336
#> 829   0.86078204        0.65005057
#> 485   0.75156510        0.31531125
#> 3309  0.83107264        0.49455867
#> 25551 0.68012214        0.21680447
#> 779   0.88297127        0.54509536
#> 858   0.77684429        0.38676294
#> 3154  0.71901601        0.42166283
#> 1905  0.57544808        0.23569444
#> 3179  0.73065680        0.45780454
#> 199   0.82008052        0.32493723
#> 2645  0.27138881        0.14876786
#> 2816  0.84630618        0.38582069
#> 4311  0.75126927        0.39873977
#> 696   0.83564044        0.49677752
#> 2539  0.64413794        0.14457575
#> 10141 0.48162051        0.22591139
#> 3071  0.64411022        0.30875498
#> 3667  0.83921067        0.58424026
#> 534   0.65714630        0.44633114
#> 2384  0.81178165        0.73357480
#> 3846  0.82792759        0.62564915
#> 1814  0.78657151        0.45073583
#> 35941 0.74723160        0.52241799
#> 2764  0.65499258        0.37410261
#> 2695  0.84934440        0.48810431
#> 935   0.87637037        0.25836039
#> 3437  0.68412236        0.30369700
#> 2976  0.45485960        0.33419442
#> 2018  0.66542164        0.35714459
#> 3611  0.80780427        0.65896377
#> 3559  0.79207330        0.34942511
#> 486   0.64723781        0.37601616
#> 2286  0.78463141        0.53455949
#> 667   0.85109091        0.62724411
#> 1384  0.75407296        0.35703640
#> 3436  0.63076512        0.42699587
#> 2565  0.84570312        0.70318138
#> 3978  0.82235356        0.34140473
#> 3045  0.88808966        0.61849359
#> 3086  0.35886726        0.12374641
#> 39421 0.64323877        0.42681454
#> 1273  0.80239034        0.33005650
#> 1167  0.70714366        0.55318846
#> 1253  0.72590372        0.35611614
#> 1939  0.84498188        0.37851072
#> 1160  0.78902891        0.23138213
#> 1564  0.72669884        0.25357053
#> 3597  0.83902193        0.54131136
#> 1770  0.42692311        0.22977757
#> 2170  0.85677372        0.51195724
#> 882   0.75228629        0.41167764
#> 3941  0.79704085        0.51887488
#> 1540  0.81412700        0.27017524
#> 1203  0.88009892        0.66742398
#> 3692  0.80090257        0.61570863
#> 843   0.69406170        0.33554761
#> 3128  0.68264504        0.46618356
#> 2428  0.88307695        0.42682170
#> 892   0.70992688        0.43576049
#> 224   0.77049956        0.39610163
#> 1148  0.71819387        0.28429336
#> 3767  0.81105539        0.31468283
#> 2160  0.82367240        0.50334023
#> 3839  0.83299106        0.37547541
#> 3615  0.79053922        0.31358679
#> 3687  0.66399964        0.07928164
#> 102   0.77532193        0.44204426
#> 3451  0.66606661        0.32442150
#> 2125  0.58986421        0.40902520
#> 695   0.83229666        0.36750893
#> 543   0.77217491        0.39254460
#> 3565  0.81615840        0.50821932
#> 835   0.73735266        0.48246327
#> 923   0.70316864        0.47012284
#> 412   0.83825125        0.29311741
#> 1879  0.37319956        0.23669231
#> 3070  0.60008089        0.31684517
#> 3446  0.74971002        0.36340869
#> 2253  0.59015489        0.41278540
#> 3534  0.80284544        0.56683181
#> 2557  0.64682300        0.37925129
#> 1570  0.80683558        0.38668556
#> 814   0.68440938        0.22936392
#> 2884  0.78200508        0.38154684
#> 1729  0.66586065        0.29022939
#> 2715  0.82258944        0.51472652
#> 3752  0.77190356        0.39548535
#> 1293  0.86339767        0.37100931
#> 970   0.84585168        0.56255075
#> 24081 0.83661061        0.49312924
#> 138   0.82132082        0.59263088
#> 2583  0.41586828        0.09785175
#> 2898  0.78166536        0.34597749
#> 30571 0.84041708        0.57765330
#> 2342  0.68350019        0.44643145
#> 489   0.68391852        0.23125622
#> 3937  0.79947362        0.49274406
#> 2679  0.87713158        0.68716534
#> 608   0.82907304        0.50672465
#> 3987  0.86513856        0.39549040
#> 776   0.63522327        0.24772779
#> 1582  0.77495575        0.43452839
#> 1903  0.77836273        0.41150753
#> 1812  0.88097946        0.40199680
#> 113   0.65097296        0.47009637
#> 26991 0.75473008        0.24802729
#> 1211  0.79478078        0.61160874
#> 3440  0.57527200        0.34920864
#> 2857  0.89855356        0.41178211
#> 67    0.79364921        0.50324569
#> 1365  0.82875738        0.46329801
#> 1039  0.73034975        0.38312892
#> 2930  0.84410831        0.59417836
#> 3267  0.72539835        0.36193135
#> 694   0.80378239        0.59408121
#> 379   0.62437471        0.25386405
#> 173   0.86707145        0.50371215
#> 3741  0.64081929        0.39752057
#> 1681  0.81680871        0.41086221
#> 5491  0.63258140        0.24971605
#> 2399  0.81378815        0.52870478
#> 2717  0.66806590        0.25647956
#> 2702  0.81625197        0.47021577
#> 2217  0.33352614        0.06342601
#> 3170  0.77963401        0.54919567
#> 875   0.87571549        0.45530717
#> 2609  0.78895140        0.30397510
#> 2117  0.75975652        0.46283867
#> 128   0.62194809        0.18164365
#> 1475  0.70343288        0.39763462
#> 96    0.73466367        0.38316802
#> 2182  0.63475346        0.42215553
#> 1419  0.89180344        0.68119674
#> 896   0.58315802        0.21837485
#> 3679  0.75964244        0.48548068
#> 1506  0.80684603        0.44360342
#> 912   0.80408560        0.41972111
#> 2558  0.79325472        0.36142664
#> 92    0.79066406        0.41875985
#> 583   0.71224230        0.37227842
#> 2622  0.62292467        0.22310430
#> 1497  0.76580005        0.54947798
#> 1806  0.56070510        0.25042424
#> 3527  0.66572075        0.26119113
#> 134   0.85139872        0.34437435
#> 1653  0.76840508        0.29692555
#> 3655  0.84035008        0.39429400
#> 1399  0.80505663        0.43036159
#> 149   0.64242315        0.21003094
#> 2036  0.71394799        0.32805949
#> 31441 0.85889866        0.35654767
#> 871   0.81151545        0.47882794
#> 3651  0.78886801        0.33574091
#> 3413  0.84096799        0.36290160
#> 3319  0.77414268        0.37237499
#> 1298  0.76822613        0.38469691
#> 1976  0.59611345        0.16965139
#> 3576  0.50720944        0.27515163
#> 3392  0.65323424        0.28209740
#> 3022  0.69332374        0.32023288
#> 1489  0.84267120        0.27309502
#> 3002  0.70719630        0.47325482
#> 475   0.45757024        0.31835104
#> 2204  0.72084396        0.31911336
#> 2959  0.82633322        0.43978403
#> 1734  0.87490512        0.61760058
#> 3035  0.72283677        0.23460590
#> 1216  0.80387950        0.38770072
#> 590   0.82027423        0.52721922
#> 1458  0.86577371        0.52972486
#> 1015  0.51178628        0.27453407
#> 2601  0.87135238        0.51159925
#> 2863  0.60377247        0.43908122
#> 2250  0.71422015        0.28409936
#> 1509  0.82678409        0.36974731
#> 25071 0.62446360        0.37377264
#> 7091  0.48498891        0.24627650
#> 1374  0.78822323        0.40939634
#> 3908  0.87970403        0.52507156
#> 363   0.78156005        0.41152613
#> 3718  0.79554747        0.41705173
#> 3351  0.84166541        0.48627536
#> 220   0.83723804        0.51945912
#> 12841 0.83335357        0.52179814
#> 3049  0.81028314        0.47407218
#> 364   0.86534783        0.66540386
#> 1073  0.85051912        0.43258238
#> 3221  0.73384575        0.47510522
#> 3236  0.84666533        0.30626690
#> 158   0.67123136        0.41406319
#> 2752  0.47024600        0.33324254
#> 2540  0.60488295        0.43197693
#> 3570  0.86844137        0.57622469
#> 12261 0.49671283        0.36355294
#> 513   0.55170296        0.21316764
#> 1363  0.57561663        0.37811896
#> 1936  0.85133903        0.50277544
#> 3694  0.84452982        0.60731877
#> 1196  0.86396154        0.59217167
#> 384   0.81780201        0.35576320
#> 2197  0.50658318        0.26088878
#> 18681 0.66323378        0.29428812
#> 156   0.56729638        0.40938430
#> 1503  0.83323934        0.42664877
#> 1718  0.71731616        0.23467278
#> 12201 0.76717000        0.44981929
#> 17081 0.72563525        0.51673279
#> 3469  0.81655286        0.43210766
#> 171   0.81231234        0.26271448
#> 3464  0.55220846        0.41779942
#> 2479  0.89006354        0.45693679
#> 2547  0.33818219        0.27930281
#> 1118  0.87374357        0.66701980
#> 2395  0.86961989        0.37007580
#> 1459  0.87181983        0.56600361
#> 3182  0.45397206        0.09344233
#> 1129  0.68725449        0.44540646
#> 3281  0.79563388        0.55168216
#> 21261 0.51619037        0.15631701
#> 724   0.82739702        0.32953968
#> 326   0.81009822        0.61039922
#> 2911  0.81186647        0.25281927
#> 854   0.71478564        0.41146001
#> 3850  0.88069394        0.56775884
#> 1598  0.83100104        0.31925618
#> 707   0.53625110        0.28852161
#> 2674  0.83749109        0.43673043
#> 661   0.75166355        0.42955495
#> 742   0.87674005        0.50555228
#> 1587  0.83067734        0.37825095
#> 993   0.85322832        0.61281355
#> 1768  0.56090266        0.21138907
#> 787   0.49679676        0.19272363
#> 3829  0.52158249        0.10647525
#> 2644  0.48451292        0.27452341
#> 3479  0.60140546        0.25207372
#> 2548  0.31806633        0.19877169
#> 789   0.44177443        0.19175652
#> 671   0.71800706        0.12840247
#> 1748  0.66839155        0.33986405
#> 1611  0.81167469        0.36817443
#> 649   0.44496224        0.20066115
#> 3595  0.78922767        0.49163461
#> 3864  0.82037974        0.44227639
#> 2337  0.84401748        0.59047492
#> 444   0.76419202        0.50087602
#> 2528  0.78325704        0.38131226
#> 6451  0.53003175        0.34611071
#> 563   0.65089277        0.25758577
#> 2434  0.78836512        0.39222178
#> 1870  0.81357107        0.46608272
#> 2363  0.75729795        0.45661182
#> 1009  0.42857291        0.28379033
#> 2199  0.49892042        0.25838435
#> 895   0.60900718        0.27116715
#> 3544  0.86455545        0.51840063
#> 11691 0.65610740        0.20616469
#> 38961 0.66044986        0.50201652
#> 3455  0.53897002        0.27767604
#> 615   0.67891798        0.37139346
#> 1308  0.79046748        0.40341174
#> 3031  0.80539560        0.58314195
#> 1318  0.77068759        0.40383248
#> 2485  0.75216184        0.31315675
#> 943   0.82676047        0.39572007
#> 552   0.82698858        0.37638829
#> 1336  0.81596302        0.49131597
#> 3331  0.87883277        0.55778284
#> 1668  0.21876522        0.21543014
#> 2102  0.63704339        0.21341641
#> 999   0.78401130        0.37077124
#> 30471 0.89974797        0.47760306
#> 3862  0.72956811        0.35904042
#> 188   0.85448221        0.55865791
#> 1003  0.72733833        0.52902598
#> 850   0.64797380        0.23443178
#> 39591 0.76562670        0.46941346
#> 3582  0.80719713        0.51132221
#> 3560  0.84201644        0.51020214
#> 3501  0.88766687        0.52223183
#> 769   0.47691045        0.19359208
#> 883   0.83837450        0.36207179
#> 2205  0.69385090        0.26610673
#> 166   0.86195508        0.40032698
#> 765   0.74118131        0.24037707
#> 1387  0.88764468        0.38040508
#> 457   0.78721373        0.53029110
#> 3612  0.82729313        0.57222733
#> 2457  0.67509639        0.25552334
#> 1925  0.76264246        0.23667632
#> 3669  0.79808244        0.56328761
#> 977   0.79396763        0.31374695
#> 3339  0.65503304        0.40036676
#> 1207  0.85206817        0.45116419
#> 2364  0.79053032        0.24914779
#> 3904  0.82303466        0.32613329
#> 1844  0.71984096        0.34659954
#> 2142  0.24679686        0.04980582
#> 3836  0.62829495        0.25245476
#> 3705  0.66396490        0.40940555
#> 19381 0.72318982        0.26454074
#> 3821  0.80370493        0.25425776
#> 2146  0.78757397        0.33571817
#> 1561  0.68926171        0.19204612
#> 2049  0.52153787        0.28308393
#> 2596  0.49791482        0.27911251
#> 107   0.74816500        0.29175538
#> 1493  0.81024382        0.35675242
#> 3063  0.78917549        0.49153573
#> 270   0.66419921        0.25978802
#> 3123  0.76529336        0.60740718
#> 744   0.73482993        0.20891262
#> 2704  0.61109878        0.40434084
#> 2853  0.76458439        0.42785771
#> 880   0.80674356        0.44830549
#> 587   0.74645550        0.44710773
#> 2138  0.85027003        0.52725338
#> 1212  0.80239109        0.50726690
#> 2807  0.64703494        0.33891758
#> 3585  0.45126879        0.09775381
#> 3189  0.83616946        0.23126696
#> 3775  0.83040192        0.63128998
#> 2718  0.71004978        0.41613203
#> 3148  0.61696706        0.36380535
#> 1846  0.71994992        0.31693100
#> 3599  0.88722535        0.47230537
#> 1414  0.53099656        0.17352556
#> 16351 0.85025908        0.47708088
#> 3258  0.10020678        0.03295250
#> 1140  0.35805233        0.22864053
#> 1875  0.82354651        0.44712009
#> 2405  0.82005647        0.42612041
#> 86    0.88738201        0.55809368
#> 2355  0.73760694        0.35822594
#> 1392  0.72661120        0.36939491
#> 2417  0.76379170        0.42976327
#> 528   0.79760889        0.64397807
#> 703   0.43737434        0.24805912
#> 3234  0.79094308        0.43179835
#> 2988  0.86816773        0.62219862
#> 27751 0.88702857        0.44165052
#> 3042  0.71954798        0.73918489
#> 2032  0.79965429        0.35378210
#> 594   0.66551586        0.38130015
#> 1934  0.68013167        0.29785864
#> 112   0.67574950        0.26979912
#> 623   0.67460446        0.40332908
#> 2362  0.85018770        0.42093747
#> 2493  0.73974514        0.40785156
#> 2056  0.74884547        0.32458481
#> 906   0.83952365        0.52381018
#> 2697  0.79559449        0.62852736
#> 81    0.81168104        0.48012986
#> 3105  0.76425737        0.38119221
#> 1809  0.53197737        0.25183937
#> 3936  0.81794655        0.39398993
#> 2891  0.88186832        0.57887650
#> 182   0.75106566        0.40877738
#> 3096  0.69230814        0.23859494
#> 1331  0.89443343        0.61914853
#> 2947  0.79801059        0.65010554
#> 712   0.56513720        0.14496307
#> 3051  0.72887618        0.29844469
#> 2296  0.73575299        0.41055687
#> 52    0.65491140        0.53684028
#> 425   0.83410102        0.66635649
#> 3410  0.59570179        0.28611637
#> 3067  0.48239310        0.13250123
#> 2588  0.66122407        0.46538012
#> 580   0.66066236        0.37077714
#> 540   0.83475433        0.39351351
#> 2077  0.46939216        0.21812530
#> 1421  0.83416709        0.35114728
#> 3971  0.76052821        0.47107434
#> 3877  0.80178272        0.50833953
#> 3724  0.84097329        0.41667614
#> 3389  0.80027793        0.55686698
#> 37741 0.89340406        0.49351197
#> 2078  0.49336518        0.40778910
#> 2292  0.63379402        0.21859530
#> 12991 0.85577304        0.39315034
#> 2490  0.53195533        0.30899510
#> 15    0.78658394        0.43500926
#> 1411  0.71811180        0.29958136
#> 165   0.83065808        0.32416416
#> 1202  0.72795248        0.38262906
#> 262   0.57276141        0.36582924
#> 3166  0.49111975        0.18975725
#> 2574  0.83974496        0.55617780
#> 1327  0.82340306        0.62496796
#> 432   0.84305946        0.61922799
#> 654   0.74023782        0.31123972
#> 670   0.79706178        0.18023259
#> 14441 0.78538615        0.28666197
#> 1637  0.36343725        0.14975665
#> 286   0.81021312        0.33114102
#> 2497  0.78889090        0.33796657
#> 2858  0.87002195        0.35954671
#> 1833  0.84159218        0.60656185
#> 1738  0.79660746        0.48490766
#> 3970  0.70387947        0.35820944
#> 3899  0.58999457        0.41434394
#> 988   0.82163429        0.48757130
#> 3061  0.78709911        0.47209771
#> 2980  0.59562226        0.24941318
#> 2288  0.70875105        0.35564416
#> 18591 0.72784129        0.27885251
#> 516   0.66603923        0.24648164
#> 847   0.64434085        0.32717266
#> 272   0.59580159        0.32819961
#> 1706  0.68158665        0.33666244
#> 375   0.70723333        0.35162045
#> 2671  0.68945463        0.31969487
#> 3163  0.80439959        0.26008074
#> 3792  0.85467664        0.33973338
#> 3977  0.74532477        0.44274146
#> 3375  0.72732269        0.53690606
#> 2542  0.62616077        0.18623721
#> 2391  0.70523146        0.38853540
#> 806   0.45357718        0.29203104
#> 14691 0.47108286        0.21560759
#> 7011  0.38905862        0.24264586
#> 2730  0.86937421        0.48673108
#> 90    0.87468001        0.38200456
#> 1222  0.67645638        0.31589829
#> 2689  0.77132526        0.42012111
#> 3013  0.31392929        0.24768154
#> 3307  0.80749492        0.32427484
#> 1272  0.75555388        0.39823925
#> 1917  0.79270969        0.45669180
#> 2073  0.81240407        0.57281850
#> 2733  0.82294747        0.56106118
#> 3830  0.70760311        0.33145838
#> 681   0.76321716        0.41328562
#> 627   0.81124519        0.52310754
#> 2902  0.84361715        0.32527056
#> 1877  0.78185461        0.23855995
#> 2311  0.31734630        0.21058732
#> 273   0.77740213        0.45580703
#> 3837  0.82305393        0.41054680
#> 3725  0.86708699        0.51105457
#> 104   0.81995937        0.38951082
#> 3753  0.54625789        0.37244373
#> 550   0.82704287        0.54638117
#> 1767  0.82019899        0.43834784
#> 206   0.49471842        0.25176465
#> 17121 0.71433801        0.36933986
#> 3192  0.86087511        0.43649818
#> 467   0.72104497        0.34823015
#> 2523  0.83571843        0.45736003
#> 2231  0.78157180        0.28373406
#> 2686  0.80650599        0.53628591
#> 3967  0.82824656        0.30048188
#> 2713  0.83051107        0.46873782
#> 2459  0.68634415        0.21162911
#> 815   0.82918740        0.49387152
#> 2641  0.67883234        0.31177087
#> 1219  0.85911221        0.51936308
#> 1407  0.73950465        0.41237368
#> 3882  0.76423156        0.63975950
#> 1937  0.80326209        0.34425533
#> 3588  0.67312150        0.18795079
#> 3168  0.60727862        0.41415114
#> 3681  0.65493626        0.38214859
#> 148   0.65886608        0.31710515
#> 1075  0.78779028        0.51220749
#> 1764  0.78011271        0.20639700
#> 35021 0.84347271        0.52541680
#> 544   0.80132713        0.40146114
#> 1396  0.40044153        0.28827033
#> 321   0.77708988        0.31058240
#> 2503  0.75612407        0.55257211
#> 553   0.80777497        0.48161490
#> 1018  0.72762444        0.30598590
#> 85    0.85605039        0.42453823
#> 1677  0.84253830        0.34989233
#> 1455  0.86100459        0.45380572
#> 1091  0.79470019        0.35418464
#> 1816  0.76220837        0.50530838
#> 31931 0.85038406        0.50706277
#> 1183  0.83063223        0.46236876
#> 183   0.76869364        0.52169365
#> 1006  0.84445163        0.51119168
#> 2803  0.70804878        0.31635372
#> 474   0.43876942        0.24109729
#> 851   0.33885020        0.13407800
#> 1405  0.82474433        0.50550389
#> 560   0.85546304        0.44393984
#> 973   0.74845052        0.35601372
#> 80    0.86990401        0.56247116
#> 237   0.86729594        0.68111420
#> 3981  0.82973671        0.45205532
#> 3531  0.85066550        0.46993549
#> 3876  0.67451005        0.42814666
#> 3305  0.62504567        0.37679054
#> 1001  0.80177498        0.37317637
#> 137   0.66802090        0.41271591
#> 66    0.52144026        0.22080267
#> 2881  0.76582944        0.39685458
#> 984   0.81419595        0.43271909
#> 1543  0.72268447        0.47788554
#> 3062  0.78225476        0.47787883
#> 3614  0.81530712        0.48443881
#> 2861  0.84549429        0.44762167
#> 3790  0.86498330        0.46899276
#> 2269  0.49458164        0.31094908
#> 3832  0.78860441        0.48501196
#> 1910  0.80126224        0.39224260
#> 2037  0.76322014        0.46369156
#> 91    0.85421364        0.56473340
#> 250   0.66413322        0.55065527
#> 1535  0.84096449        0.60024774
#> 813   0.85389406        0.53450346
#> 716   0.64958625        0.21446407
#> 3465  0.54599982        0.39568519
#> 3785  0.72365008        0.23808687
#> 1923  0.74108381        0.37601638
#> 3294  0.66276013        0.36916581
#> 2634  0.80962216        0.44576112
#> 1696  0.20172101        0.19369125
#> 329   0.67864149        0.22524900
#> 1948  0.79515765        0.43140216
#> 465   0.73964564        0.41025259
#> 1007  0.62517087        0.35804521
#> 2905  0.60918479        0.36903369
#> 1057  0.61288609        0.25039216
#> 2732  0.79640889        0.51997311
#> 2658  0.68318648        0.47073307
#> 3783  0.78746614        0.53206231
#> 1526  0.83794911        0.39844583
#> 3337  0.62458395        0.40794312
#> 3472  0.82394107        0.61917464
#> 821   0.63592396        0.46211018
#> 3452  0.79618531        0.49895178
#> 2149  0.81623066        0.63107280
#> 1017  0.61013101        0.34310493
#> 99    0.85012122        0.43807625
#> 25101 0.52309390        0.34609045
#> 792   0.62217757        0.34587074
#> 2486  0.84454051        0.42497515
#> 1166  0.67024708        0.27677900
#> 3867  0.59940809        0.22672318
#> 3188  0.78845443        0.44670705
#> 24631 0.88647632        0.63197426
#> 1657  0.74818678        0.32755853
#> 3703  0.82095389        0.54857353
#> 532   0.83213398        0.56496156
#> 3646  0.75156656        0.34287759
#> 705   0.38372783        0.13555209
#> 181   0.82089752        0.47910852
#> 1763  0.84049457        0.39198725
#> 2072  0.74276527        0.59258891
#> 19811 0.82704453        0.38949460
#> 2282  0.56036433        0.14247655
#> 674   0.72001996        0.27796509
#> 3487  0.76116407        0.38042798
#> 2119  0.74130065        0.36874682
#> 2483  0.84704493        0.27355909
#> 293   0.76900025        0.37808213
#> 2740  0.81128434        0.34003709
#> 2216  0.66498298        0.35656834
#> 1247  0.74987782        0.38159884
#> 1265  0.85883257        0.42731542
#> 64    0.63101548        0.39967354
#> 2181  0.70183898        0.29566863
#> 343   0.73401386        0.51838816
#> 3931  0.80235964        0.43874719
#> 260   0.69117557        0.25226561
#> 942   0.86880668        0.68104278
#> 3005  0.77947804        0.39112029
#> 3678  0.80943499        0.62355107
#> 2545  0.42454824        0.26778507
#> 1233  0.65990136        0.28565343
#> 2633  0.55753432        0.15227256
#> 3604  0.74561922        0.31822168
#> 2394  0.80780917        0.47877588
#> 2322  0.74746019        0.32354129
#> 442   0.79940075        0.41991255
#> 95    0.75102973        0.45573339
#> 3381  0.63933199        0.48358718
#> 3910  0.86191931        0.53113424
#> 3735  0.80101618        0.45521699
#> 2971  0.75930502        0.38931546
#> 3729  0.87762991        0.61390160
#> 263   0.51312323        0.37224947
#> 3758  0.75611101        0.44654789
#> 3921  0.83010683        0.61368020
#> 1771  0.44300215        0.21277592
#> 1588  0.58412899        0.46577038
#> 32461 0.73520920        0.44269268
#> 2066  0.69223769        0.26345884
#> 305   0.73717681        0.33820163
#> 2358  0.71862046        0.52659652
#> 1141  0.64616274        0.45508569
#> 3833  0.84425052        0.50105310
#> 240   0.74454568        0.32019062
#> 2668  0.83535839        0.54613022
#> 2320  0.78822008        0.56841974
#> 3835  0.83256137        0.43749411
#> 1058  0.69829638        0.42506136
#> 1778  0.40318940        0.12699044
#> 1984  0.61613849        0.23696555
#> 3414  0.67419128        0.23832786
#> 3449  0.51880523        0.25279430
#> 232   0.80889187        0.47733451
#> 377   0.56782512        0.23147622
#> 1223  0.64313398        0.27962957
#> 3912  0.79989472        0.34681623
#> 899   0.81650471        0.53087402
#> 3347  0.85831963        0.29246865
#> 16591 0.77191575        0.20409383
#> 3586  0.65367222        0.21189242
#> 3403  0.79363134        0.28870395
#> 3581  0.80342829        0.31951848
#> 853   0.61465204        0.41800413
#> 1604  0.73924673        0.59638650
#> 1740  0.85007426        0.41974247
#> 2270  0.78155386        0.27281968
#> 3884  0.73825922        0.49065821
#> 351   0.81311210        0.50728690
#> 1376  0.73739753        0.40220430
#> 2423  0.85072402        0.62597849
#> 3538  0.57709562        0.24803911
#> 169   0.81053920        0.40592755
#> 1072  0.64256906        0.37497696
#> 3102  0.64496054        0.43073027
#> 2749  0.47632228        0.33007692
#> 403   0.87639713        0.47583486
#> 2245  0.88758483        0.60708294
#> 3118  0.86399502        0.63791110
#> 1460  0.86241485        0.68787337
#> 1906  0.70097494        0.23764164
#> 3925  0.79654976        0.63674688
#> 238   0.70840449        0.63724906
#> 3053  0.88510315        0.58521044
#> 1760  0.84584103        0.57983406
#> 1111  0.77438794        0.44837036
#> 19991 0.56680700        0.25894257
#> 745   0.75971767        0.24094319
#> 1800  0.74178110        0.27711350
#> 2252  0.58413805        0.46292597
#> 289   0.77902092        0.43029630
#> 1086  0.76742219        0.39298377
#> 2101  0.64982844        0.35066111
#> 2873  0.86985162        0.47554258
#> 1631  0.74626389        0.55925476
#> 2404  0.77304562        0.41270231
#> 1980  0.81365486        0.45110809
#> 2003  0.78431316        0.60072543
#> 1654  0.66922131        0.34881194
#> 3050  0.74836803        0.45177357
#> 1650  0.86140463        0.28480010
#> 3290  0.82531793        0.44577629
#> 3010  0.59180320        0.35057844
#> 3343  0.75134799        0.47779876
#> 1136  0.72440076        0.47291885
#> 3755  0.56594348        0.41480813
#> 23031 0.48143882        0.35463187
#> 1453  0.78051958        0.35189775
#> 3488  0.65865187        0.26401630
#> 1969  0.80347197        0.69883763
#> 2515  0.44436153        0.30482941
#> 2728  0.87179385        0.62295675
#> 37891 0.88591946        0.40217847
#> 36881 0.62736594        0.33257865
#> 193   0.85965804        0.59604928
#> 360   0.44629893        0.34669650
#> 526   0.82480930        0.41042619
#> 1025  0.55311344        0.32740509
#> 3917  0.82847973        0.40807196
#> 960   0.81410861        0.36711661
#> 1144  0.75585875        0.52457767
#> 1084  0.82506331        0.26214458
#> 2526  0.81893759        0.37016838
#> 3390  0.86774874        0.56949598
#> 1995  0.86486548        0.31291497
#> 13041 0.81413739        0.45225848
#> 915   0.74920374        0.38152595
#> 2776  0.87913263        0.43440567
#> 2228  0.54332628        0.14867209
#> 1530  0.80204364        0.39824451
#> 2474  0.78991500        0.50790129
#> 342   0.70157163        0.33437019
#> 2786  0.86087481        0.51304322
#> 37011 0.85427754        0.48809637
#> 2925  0.84886568        0.55855779
#> 1290  0.76312965        0.39470131
#> 2940  0.76528553        0.28817787
#> 3439  0.54472841        0.35656748
#> 417   0.77997712        0.44660847
#> 948   0.82050833        0.54063405
#> 1558  0.64877878        0.37969972
#> 1614  0.80633975        0.57445603
#> 3214  0.64717064        0.21290187
#> 2561  0.84919553        0.53131403
#> 1332  0.67477539        0.35552026
#> 3196  0.88720804        0.40318281
#> 3327  0.82702953        0.50537319
#> 297   0.82381152        0.48077288
#> 24291 0.71779923        0.41655477
#> 3780  0.71244056        0.29582058
#> 1412  0.75208150        0.42444327
#> 2685  0.70953739        0.42072541
#> 1048  0.74906349        0.37500181
#> 2851  0.81288495        0.23816205
#> 3092  0.84803350        0.66228804
#> 3539  0.75917963        0.29031276
#> 3951  0.82475534        0.40872692
#> 1514  0.79887545        0.45840522
#> 2014  0.74759976        0.41537221
#> 257   0.34243303        0.23330384
#> 3914  0.81590501        0.41378497
#> 2603  0.80614305        0.61077166
#> 2975  0.52090838        0.37117993
#> 55    0.81582755        0.51975772
#> 699   0.62598776        0.27802832
#> 1579  0.66845923        0.44778349
#> 746   0.78902760        0.40797055
#> 897   0.77301986        0.22037699
#> 131   0.82231229        0.47762707
#> 726   0.58495579        0.30329265
#> 565   0.82935043        0.36128778
#> 1576  0.77634120        0.58921385
#> 2868  0.81036220        0.46947594
#> 1666  0.35899211        0.23911098
#> 1101  0.80993770        0.55110031
#> 579   0.76645717        0.32504282
#> 1979  0.82537505        0.66277848
#> 1369  0.68320760        0.26323170
#> 1725  0.85320578        0.55937282
#> 1565  0.80979427        0.39293747
#> 1433  0.52377643        0.20228731
#> 859   0.75305921        0.42044590
#> 1375  0.75681002        0.38815814
#> 2132  0.43916777        0.22590598
#> 1878  0.67846893        0.48547278
#> 1702  0.59457826        0.52669130
#> 1664  0.47208866        0.25491238
#> 37301 0.82117035        0.55716269
#> 1851  0.85449021        0.46615120
#> 887   0.81579611        0.38431695
#> 26161 0.77782391        0.62454185
#> 669   0.86056992        0.33469873
#> 290   0.76705550        0.55600962
#> 5511  0.77950302        0.59230048
#> 1569  0.54743626        0.26147482
#> 1603  0.74553360        0.64326989
#> 34941 0.62636312        0.28790853
#> 1156  0.84315822        0.33120517
#> 1649  0.84738485        0.36507091
#> 1813  0.83200018        0.27964337
#> 3577  0.50511303        0.15147721
#> 2915  0.82211047        0.46565445
#> 2638  0.72381300        0.23448242
#> 60    0.79107305        0.45186854
#> 1774  0.56215393        0.38694841
#> 2937  0.87129777        0.33289056
#> 2099  0.57171852        0.43028427
#> 2329  0.75336551        0.27316146
#> 1027  0.64920220        0.28151797
#> 2127  0.77493366        0.46460168
#> 1692  0.74649841        0.44253342
#> 2918  0.81658900        0.43835112
#> 18301 0.82999138        0.46844329
#> 2690  0.75393370        0.38234510
#> 26731 0.83193537        0.61423695
#> 2123  0.75568707        0.36322277
#> 40    0.86693917        0.61357201
#> 3220  0.77038483        0.47262982
#> 482   0.26324657        0.17056302
#> 1252  0.72124858        0.29314798
#> 427   0.81334138        0.44647723
#> 245   0.79742988        0.51748925
#> 2155  0.52164184        0.33735862
#> 2108  0.78562627        0.30598557
#> 3926  0.81051905        0.53070320
#> 339   0.33795855        0.34870903
#> 2827  0.75518953        0.57674875
#> 818   0.74014531        0.32285239
#> 2866  0.79728948        0.47501745
#> 1326  0.77408926        0.40668788
#> 3693  0.77837760        0.41488144
#> 1479  0.64603189        0.45944350
#> 1607  0.80203832        0.46537798
#> 825   0.70067107        0.41575235
#> 1624  0.70906712        0.43164109
#> 2220  0.50221982        0.27170754
#> 642   0.70896182        0.33947919
#> 3007  0.75634368        0.44647071
#> 3512  0.67627747        0.30130771
#> 19    0.50741810        0.26455419
#> 1737  0.78392094        0.41328406
#> 406   0.86968682        0.51876976
#> 940   0.81641271        0.45106093
#> 3720  0.80496787        0.42434770
#> 2569  0.79983023        0.19564435
#> 3523  0.52715392        0.28538821
#> 1606  0.77729137        0.52393137
#> 1026  0.76694267        0.39514742
#> 2872  0.67185557        0.37056616
#> 3911  0.82840927        0.63379659
#> 611   0.58235504        0.33371154
#> 2757  0.78621154        0.48380354
#> 1705  0.71542856        0.21115926
#> 2993  0.82005517        0.45744000
#> 2597  0.39864791        0.18009652
#> 1060  0.83620764        0.46549839
#> 27271 0.88924894        0.60441859
#> 992   0.79349916        0.57622925
#> 1751  0.66482885        0.26558259
#> 1750  0.78520812        0.46588740
#> 3152  0.81355945        0.41539875
#> 201   0.69957800        0.47046574
#> 1464  0.64779143        0.21884319
#> 3919  0.78699606        0.38693798
#> 581   0.73779081        0.34700904
#> 461   0.72372088        0.30123768
#> 288   0.60209516        0.35471351
#> 2212  0.72388238        0.35717828
#> 1714  0.33822512        0.34333412
#> 2678  0.83364361        0.36505134
#> 2382  0.86860662        0.44849014
#> 3709  0.49324124        0.36852704
#> 1391  0.79539276        0.36710729
#> 3535  0.75354341        0.30252045
#> 22941 0.47948995        0.24908036
#> 775   0.79512710        0.37962502
#> 259   0.60664452        0.53471512
#> 2819  0.51414425        0.29382393
#> 1467  0.76663109        0.39458259
#> 3633  0.66551683        0.38483700
#> 653   0.74607489        0.42742191
#> 3238  0.78999894        0.47020959
#> 3059  0.87677403        0.64926626
#> 499   0.66040124        0.26750348
#> 503   0.51701156        0.30819720
#> 3268  0.71415559        0.38068446
#> 3262  0.14135558        0.12230711
#> 959   0.79233062        0.34250286
#> 312   0.57028612        0.24735502
#> 1423  0.65085558        0.45729325
#> 1425  0.68833082        0.55844084
#> 679   0.63687070        0.44200570
#> 1138  0.70183415        0.30536013
#> 3788  0.87349665        0.64649930
#> 3676  0.85672563        0.43680783
#> 2410  0.80735794        0.20985639
#> 3960  0.87537010        0.52795028
#> 2069  0.76843611        0.36937667
#> 1636  0.88241191        0.68057930
#> 610   0.70322164        0.26914163
#> 1055  0.62909545        0.24464919
#> 1315  0.76983926        0.41163250
#> 1437  0.85996726        0.59221723
#> 2553  0.75034146        0.51337333
#> 3699  0.77061536        0.55611251
#> 1829  0.80639369        0.28420403
#> 2012  0.59386584        0.31492397
#> 686   0.67667848        0.37107743
#> 1280  0.67797933        0.42170928
#> 3124  0.88769892        0.44156019
#> 3578  0.73104842        0.25867269
#> 30761 0.80043708        0.37665376
#> 2847  0.80703028        0.54446678
#> 449   0.82073576        0.68898006
#> 3428  0.72728431        0.35584710
#> 57    0.60993691        0.32655631
#> 2210  0.82931663        0.33291301
#> 1618  0.87341659        0.32393016
#> 35901 0.77597876        0.32620782
#> 3004  0.70816993        0.44194268
#> 3607  0.86109967        0.51414124
#> 1648  0.82292640        0.58090019
#> 3571  0.76351005        0.26785796
#> 757   0.75012372        0.36944582
#> 2191  0.86739663        0.51978801
#> 1625  0.77007022        0.51884011
#> 2087  0.45685008        0.36547181
#> 3020  0.62430767        0.17498688
#> 3422  0.87052585        0.60429507
#> 1468  0.62244592        0.19431802
#> 191   0.87134597        0.68739139
#> 3698  0.73401350        0.56623570
#> 3032  0.34014281        0.22365095
#> 1311  0.78823967        0.43101276
#> 2115  0.68235703        0.40340894
#> 2192  0.80487553        0.49456066
#> 1020  0.80218455        0.42852384
#> 2482  0.85174104        0.60748423
#> 3500  0.87344693        0.60882238
#> 2379  0.67650200        0.37098012
#> 1974  0.79239442        0.49341439
#> 23721 0.78784571        0.36584356
#> 3104  0.73003300        0.34735381
#> 2392  0.87930248        0.55763639
#> 2356  0.80459502        0.66126003
#> 1591  0.69418935        0.49196174
#> 3600  0.84653303        0.38009604
#> 3133  0.80804297        0.37587592
#> 21931 0.79698985        0.29965664
#> 515   0.44935847        0.36548128
#> 490   0.41092583        0.20192390
#> 2998  0.85114746        0.60042907
#> 3240  0.80191852        0.57470029
#> 3064  0.81526440        0.45342034
#> 3495  0.60905396        0.37087609
#> 3266  0.26597620        0.19414411
#> 10691 0.64651514        0.51160308
#> 3360  0.72250119        0.50782772
#> 4731  0.42620376        0.33252435
#> 2323  0.72245621        0.30653354
#> 3087  0.36414094        0.24761341
#> 730   0.65544513        0.29812729
#> 3126  0.79982991        0.34023791
#> 683   0.87660795        0.55271534
#> 1282  0.78386815        0.43160331
#> 2818  0.75980435        0.25741643
#> 2867  0.84838291        0.61281709
#> 3207  0.85789505        0.51418847
#> 2527  0.83209774        0.29279782
#> 2086  0.59874812        0.51100465
#> 1532  0.87797759        0.52659516
#> 924   0.46445356        0.21557161
#> 865   0.79698333        0.38004109
#> 2977  0.43281837        0.30275423
#> 982   0.82325423        0.39331301
#> 723   0.89606440        0.53049047
#> 3357  0.86105881        0.37689912
#> 3567  0.76672257        0.50261442
#> 3019  0.51410394        0.30686867
#> 3806  0.76234731        0.45908086
#> 472   0.69043160        0.29422938
#> 1283  0.75946528        0.36762620
#> 514   0.47195263        0.31195021
#> 1281  0.77274445        0.54065905
#> 1964  0.76683114        0.44158652
#> 3515  0.55804219        0.42624771
#> 947   0.73043484        0.57243018
#> 3739  0.71997674        0.22307039
#> 3350  0.72108468        0.37781858
#> 833   0.73219555        0.29957611
#> 1413  0.70975551        0.33967501
#> 3982  0.76747381        0.36057882
#> 267   0.82855943        0.39085568
#> 8701  0.81770995        0.39340243
#> 2500  0.60446966        0.29189534
#> 2143  0.55404617        0.25768994
#> 934   0.81082794        0.33780321
#> 2280  0.58145926        0.30408694
#> 3661  0.74486605        0.37847759
#> 26    0.42889444        0.37846490
#> 366   0.61170158        0.25248596
#> 2158  0.74944250        0.45030003
#> 402   0.87318455        0.31829143
#> 227   0.69772104        0.39820992
#> 1639  0.61729818        0.51471309
#> 1777  0.31512586        0.14112176
#> 1248  0.81306141        0.52489340
#> 832   0.84308984        0.41444726
#> 1193  0.85865596        0.47563881
#> 1424  0.65814881        0.40825067
#> 2965  0.73247198        0.36399252
#> 937   0.85041155        0.53828593
#> 10    0.50311181        0.28937233
#> 527   0.80201610        0.33578560
#> 3380  0.62398845        0.33673148
#> 571   0.73240986        0.27380003
#> 197   0.84042857        0.42246149
#> 3868  0.46526332        0.09571829
#> 37601 0.83339702        0.38023977
#> 3473  0.68953000        0.44738596
#> 18021 0.69865587        0.43669711
#> 3125  0.84162357        0.61890272
#> 2790  0.37224725        0.32778907
#> 3707  0.78045026        0.67618746
#> 1597  0.69262203        0.40990004
#> 2024  0.63176817        0.25952554
#> 1818  0.77507105        0.42144278
#> 2370  0.71765936        0.34423077
#> 6     0.68009612        0.51419479
#> 691   0.77356890        0.40163428
#> 3810  0.49531983        0.19967200
#> 3773  0.84334694        0.44506581
#> 3322  0.82692022        0.61250212
#> 274   0.84981675        0.53157463
#> 2531  0.58336677        0.25136423
#> 620   0.73879287        0.18360744
#> 3897  0.76150416        0.41531695
#> 56    0.73060702        0.47839761
#> 2631  0.72555541        0.36852134
#> 2114  0.66214197        0.40020217
#> 718   0.74244006        0.60172692
#> 3217  0.80961463        0.34085724
#> 179   0.69852533        0.46646113
#> 2897  0.74100881        0.49523748
#> 862   0.67793648        0.36642627
#> 949   0.71785634        0.42067245
#> 3608  0.76488631        0.50644055
#> 2313  0.48987489        0.31300937
#> 11321 0.72995790        0.52457679
#> 1393  0.68115890        0.28855285
#> 964   0.68368678        0.38854977
#> 470   0.78287359        0.37998549
#> 1834  0.75197499        0.37445707
#> 2834  0.78185515        0.45521525
#> 2118  0.79517312        0.32996400
#> 2804  0.79943290        0.37126989
#> 3255  0.80505470        0.46015421
#> 3532  0.80872729        0.37076810
#> 2590  0.64528345        0.32010589
#> 284   0.80820852        0.56072841
#> 3015  0.65429656        0.55886324
#> 591   0.74919409        0.58255617
#> 2781  0.90127061        0.60021120
#> 3040  0.74218629        0.28956469
#> 3385  0.86245226        0.47841939
#> 422   0.81100481        0.56885130
#> 29    0.61908922        0.40951532
#> 3996  0.87672136        0.47766938
#> 405   0.88623914        0.48413178
#> 3818  0.83659494        0.54032363
#> 857   0.50746896        0.36321057
#> 1952  0.40591771        0.24383082
#> 1753  0.87984947        0.50194604
#> 30721 0.81767125        0.64803248
#> 3397  0.67965420        0.40935799
#> 2789  0.68921909        0.49029747
#> 1788  0.73726043        0.47073318
#> 460   0.86202205        0.54246347
#> 807   0.61419642        0.19095891
#> 601   0.42131510        0.17842625
#> 1599  0.56718758        0.23902156
#> 2475  0.75316033        0.51832806
#> 3808  0.57624287        0.18185785
#> 1042  0.78864127        0.40445069
#> 3562  0.69792046        0.39992254
#> 508   0.82913501        0.41651734
#> 3056  0.81314452        0.45234425
#> 1198  0.83220832        0.33568989
#> 938   0.87881001        0.54348633
#> 3906  0.70674752        0.44103838
#> 1644  0.83481900        0.52835501
#> 7881  0.52675762        0.23577148
#> 985   0.76946727        0.53163657
#> 3094  0.76642359        0.27723037
#> 1426  0.73497769        0.19913477
#> 180   0.82277031        0.31966261
#> 629   0.56716598        0.38208890
#> 559   0.75571974        0.34799214
#> 2494  0.83592850        0.64804538
#> 495   0.74315465        0.45457819
#> 2889  0.86254384        0.55885237
#> 29241 0.85600654        0.55755356
#> 30810 0.58946624        0.33849810
#> 2602  0.81739825        0.44226858
#> 1238  0.76342926        0.46229650
#> 378   0.72050688        0.31302089
#> 3664  0.82361969        0.42017164
#> 1971  0.84919997        0.50814481
#> 3401  0.76001551        0.38106457
#> 282   0.88565301        0.45721863
#> 1310  0.85963517        0.50154216
#> 1856  0.83202389        0.42771276
#> 3424  0.84588020        0.43827892
#> 3147  0.77600481        0.50451557
#> 451   0.84769448        0.52178155
#> 1699  0.54823751        0.33494531
#> 1386  0.75753112        0.21294561
#> 2754  0.26998878        0.21450392
#> 36961 0.87720306        0.56098169
#> 634   0.76331576        0.23128168
#> 1773  0.59247239        0.27952106
#> 1457  0.89629618        0.77090795
#> 34341 0.62349045        0.30296362
#> 855   0.76358887        0.61972635
#> 3206  0.80298075        0.49853345
#> 1986  0.78372534        0.37724277
#> 3054  0.82223728        0.72784596
#> 1590  0.48782363        0.21982887
#> 29511 0.82115718        0.33038726
#> 2249  0.79001817        0.44700061
#> 1275  0.86080255        0.42533434
#> 1441  0.83941084        0.39318059
#> 3943  0.63882755        0.36763196
#> 2226  0.27585024        0.13666204
#> 774   0.83681347        0.52153008
#> 213   0.79423274        0.45769451
#> 2244  0.74817890        0.31658400
#> 2491  0.54319939        0.32440665
#> 1949  0.48471035        0.30053816
#> 153   0.81793908        0.58681551
#> 3081  0.63300329        0.41259727
#> 1218  0.79073244        0.30164056
#> 2325  0.63261773        0.28796036
#> 207   0.56921080        0.16101690
#> 29101 0.84342419        0.43140172
#> 1242  0.78316479        0.43038833
#> 2043  0.82174307        0.27769070
#> 1820  0.66940653        0.24058022
#> 576   0.58784598        0.31081689
#> 1269  0.76052052        0.42417461
#> 3954  0.86622650        0.47474522
#> 76    0.85042023        0.54571673
#> 21361 0.84930399        0.33505109
#> 1490  0.87135756        0.41055640
#> 3827  0.79806402        0.54549029
#> 507   0.69215333        0.27447604
#> 1095  0.70211667        0.35594973
#> 217   0.80774289        0.48677524
#> 820   0.74553108        0.37764473
#> 2089  0.36666416        0.27300229
#> 434   0.67841928        0.30295962
#> 1862  0.86947438        0.69382004
#> 3574  0.44465200        0.33182764
#> 1886  0.79855639        0.39771093
#> 2419  0.73738766        0.39616628
#> 1126  0.66547696        0.44659825
#> 3805  0.76122749        0.52922949
#> 1345  0.81138417        0.48141935
#> 3872  0.68828901        0.44335622
#> 933   0.81743037        0.32188739
#> 3395  0.79587912        0.36235978
#> 1107  0.76677947        0.57515204
#> 409   0.81491214        0.33210854
#> 3480  0.61747733        0.37762746
#> 3623  0.76279688        0.32198600
#> 1626  0.59341269        0.19935941
#> 1256  0.76855735        0.51947273
#> 3333  0.38094156        0.16239120
#> 3840  0.78826909        0.49957426
#> 2611  0.81547988        0.53088912
#> 147   0.58318184        0.46398574
#> 644   0.69083633        0.22852031
#> 34761 0.68422168        0.24584154
#> 49    0.63629935        0.54455756
#> 2165  0.79733177        0.50258009
#> 2059  0.82655749        0.46317133
#> 3794  0.82492220        0.42157229
#> 357   0.16242068        0.09953007
#> 25641 0.81994834        0.48233585
#> 3841  0.77585732        0.49874670
#> 2907  0.67600803        0.25443385
#> 3361  0.67112759        0.25432022
#> 3231  0.83808044        0.57742796
#> 1741  0.86683157        0.60148362
#> 210   0.84742059        0.69803659
#> 3116  0.84509954        0.44486696
#> 446   0.64701546        0.51597073
#> 1349  0.83783018        0.48781196
#> 3384  0.79028126        0.42262682
#> 455   0.85638499        0.55418534
#> 3823  0.76933543        0.39014891
#> 1951  0.47737600        0.33734117
#> 463   0.79491632        0.44807685
#> 2577  0.51451843        0.08863592
#> 2431  0.63507478        0.21625585
#> 2653  0.39238333        0.16443038
#> 3167  0.45506757        0.19459551
#> 192   0.83285517        0.22979525
#> 714   0.61864908        0.30097099
#> 32431 0.58095503        0.33975111
#> 11711 0.34806959        0.14528130
#> 3509  0.84443717        0.68078996
#> 3668  0.71306460        0.49332093
#> 2388  0.89047095        0.53633720
#> 3947  0.82830485        0.41048052
#> 3964  0.64476255        0.19884279
#> 1251  0.80802720        0.30851509
#> 2162  0.79940562        0.46068270
#> 3203  0.62484453        0.37019569
#> 33151 0.88637830        0.58187963
#> 1519  0.85736261        0.38057662
#> 1395  0.69138820        0.50833063
#> 1944  0.80649141        0.34003099
#> 1204  0.85419531        0.47744314
#> 1254  0.78152089        0.42936566
#> 3393  0.83780909        0.47438876
#> 82    0.83125001        0.36264336
#> 3320  0.85494384        0.70740998
#> 1942  0.88032551        0.54424644
#> 2846  0.81703177        0.45883361
#> 5781  0.67361299        0.38310398
#> 2422  0.69197504        0.63834224
#> 2221  0.52572559        0.27804580
#> 936   0.86250934        0.45940266
#> 3689  0.80776336        0.26723735
#> 3260  0.23197125        0.09862499
#> 16671 0.28783946        0.17183559
#> 362   0.74433005        0.46233592
#> 2676  0.77243966        0.31695470
#> 1897  0.86461985        0.40087434
#> 3432  0.72215922        0.30202766
#> 3589  0.86282742        0.46703710
#> 2111  0.81084694        0.42771132
#> 3373  0.82193406        0.27212152
#> 8891  0.63035730        0.34928466
#> 954   0.88085532        0.45742208
#> 3443  0.48749291        0.42027828
#> 2277  0.68334267        0.41717074
#> 2744  0.65662987        0.38233128
#> 25    0.41391262        0.10535378
#> 905   0.80707843        0.43954663
#> 3913  0.86166853        0.53948073
#> 3356  0.79256184        0.53576960
#> 26721 0.78654856        0.37487717
#> 14621 0.71702604        0.46295558
#> 34231 0.79234472        0.61999342
#> 3376  0.72662891        0.42588875
#> 1655  0.66509781        0.53234895
#> 1439  0.85443953        0.51580247
#> 732   0.62361413        0.25254586
#> 18    0.84525040        0.39801238
#> 3080  0.70453751        0.44098408
#> 10001 0.70980125        0.42938298
#> 842   0.82548957        0.56412971
#> 167   0.80667956        0.39757638
#> 2154  0.73796305        0.53759815
#> 3814  0.73989009        0.39730422
#> 2060  0.86415641        0.31676210
#> 3245  0.64867388        0.57253651
#> 890   0.76151242        0.37016267
#> 956   0.87471061        0.39092184
#> 604   0.55738158        0.36007836
#> 2624  0.80369933        0.51057720
#> 1297  0.86751228        0.47771553
#> 2511  0.59569697        0.23212260
#> 2629  0.77213057        0.39123557
#> 2312  0.49468079        0.19688107
#> 1998  0.65261736        0.16184799
#> 3831  0.57303725        0.37360696
#> 1633  0.80673198        0.38261001
#> 129   0.84912728        0.52170342
#> 1640  0.62861385        0.25118342
#> 2505  0.71136133        0.29538052
#> 16931 0.45641979        0.28161695
#> 1049  0.81421230        0.33004912
#> 31711 0.80636495        0.44435239
#> 3132  0.69944402        0.21683337
#> 2258  0.60353865        0.41624536
#> 12241 0.57213569        0.21585271
#> 2968  0.69708499        0.46330077
#> 2662  0.56456272        0.28028800
#> 3008  0.63485324        0.42511460
#> 2385  0.83973620        0.44284866
#> 1869  0.85823753        0.40565368
#> 3097  0.75103722        0.52038001
#> 1116  0.85519714        0.60200895
#> 1321  0.71047643        0.49628819
#> 106   0.81434124        0.62747090
#> 2887  0.84712272        0.66924766
#> 3596  0.80802248        0.34140528
#> 160   0.77108632        0.34404536
#> 2496  0.85002740        0.43674998
#> 2509  0.55961740        0.17959133
#> 194   0.86865480        0.49434900
#> 1178  0.76718130        0.35541508
#> 2206  0.81775172        0.54604162
#> 2424  0.71372132        0.43671737
#> 7810  0.73244519        0.28964931
#> 1782  0.68364236        0.23032600
#> 2055  0.85175719        0.55245416
#> 1889  0.70571535        0.11636651
#> 200   0.84778830        0.36238747
#> 3940  0.74657662        0.45304093
#> 301   0.73331434        0.42202580
#> 388   0.87537323        0.36684111
#> 1353  0.80414675        0.37440549
#> 783   0.53731883        0.24127609
#> 27241 0.84601787        0.39177478
#> 1605  0.71935813        0.44798385
#> 32    0.86471315        0.48103383
#> 3656  0.84290860        0.56044154
#> 1899  0.84293949        0.43681747
#> 1632  0.76641279        0.46015647
#> 3695  0.81153228        0.39677894
#> 2607  0.84033137        0.50898812
#> 22621 0.74839630        0.47204238
#> 492   0.80906119        0.42688408
#> 37141 0.72245306        0.49831052
#> 2772  0.83643713        0.66179753
#> 121   0.83210904        0.67933307
#> 2760  0.85999370        0.41021139
#> 2543  0.49363167        0.29186204
#> 27921 0.59672535        0.32660326
#> 3298  0.76424025        0.25070995
#> 525   0.79624646        0.48382846
#> 2961  0.77688791        0.56970393
#> 162   0.81115164        0.56522198
#> 1780  0.79043931        0.53906918
#> 1035  0.54671633        0.34944360
#> 738   0.81870974        0.43129807
#> 593   0.58857404        0.33372727
#> 3866  0.71810972        0.39951273
#> 1133  0.85209149        0.50434474
#> 3813  0.53370141        0.23877616
#> 101   0.85034958        0.42164641
#> 3345  0.69254103        0.59455554
#> 3812  0.74811281        0.43425030
#> 341   0.40954508        0.22611408
#> 36351 0.83797297        0.46368719
#> 2714  0.73786379        0.43187854
#> 2076  0.52834889        0.34890314
#> 2664  0.46328798        0.23937039
#> 1483  0.77169703        0.40516164
#> 28281 0.76934107        0.36519653
#> 2225  0.16625412        0.06084488
#> 2287  0.74882920        0.45950644
#> 2517  0.70347354        0.37702768
#> 370   0.80332597        0.36810479
#> 1232  0.75685217        0.45352932
#> 6511  0.52341079        0.28001336
#> 1723  0.78703356        0.33911887
#> 2227  0.41236777        0.10023743
#> 435   0.72880902        0.29056399
#> 2821  0.78672212        0.42668699
#> 2401  0.83330301        0.44970894
#> 34781 0.56556629        0.38490998
#> 2687  0.82493134        0.41287745
#> 30821 0.43212437        0.09660018
#> 3593  0.70494522        0.39917017
#> 2939  0.83941740        0.46417498
#> 2538  0.54287714        0.27289241
#> 1695  0.20558165        0.12127758
#> 13610 0.69991497        0.29730378
#> 3852  0.86103684        0.41974719
#> 3516  0.60833358        0.35005090
#> 2796  0.85035317        0.42012825
#> 864   0.74657563        0.37957015
#> 3782  0.73138146        0.50751744
#> 3190  0.73251677        0.57091308
#> 265   0.46079895        0.27187907
#> 3874  0.70912048        0.52552562
#> 2800  0.79984174        0.58905531
#> 14611 0.77683856        0.54732738
#> 132   0.90245828        0.43862001
#> 2025  0.63899672        0.46509443
#> 2990  0.85090272        0.45406156
#> 3160  0.80720835        0.46903444
#> 1301  0.82178995        0.24114074
#> 1121  0.77663494        0.64996225
#> 1245  0.57364985        0.26688992
#> 2656  0.67104348        0.27680428
#> 1234  0.70846219        0.50518815
#> 7821  0.79992185        0.41937609
#> 3195  0.86812324        0.52560706
#> 3286  0.72590582        0.45415722
#> 2307  0.82723760        0.41779789
#> 2684  0.78437663        0.53480329
#> 3227  0.70173296        0.36407303
#> 3421  0.73488006        0.40089327
#> 3427  0.82423541        0.38890064
#> 3233  0.75743022        0.39727528
#> 635   0.83496135        0.54124996
#> 1798  0.78078234        0.48287800
#> 3568  0.70562739        0.37323138
#> 656   0.70486095        0.29627486
#> 2131  0.77928183        0.26961116
#> 2446  0.79756574        0.32149849
#> 3682  0.71362168        0.45132735
#> 253   0.29119675        0.24756313
#> 1866  0.86249053        0.35435153
#> 2862  0.84675822        0.53200921
#> 1435  0.78981495        0.42808481
#> 1323  0.77635780        0.40851385
#> 2450  0.80287250        0.41125039
#> 2516  0.47080912        0.23936980
#> 2029  0.79972176        0.65479329
#> 1827  0.83315115        0.54100308
#> 3077  0.78226549        0.57576425
#> 1511  0.86889178        0.47189864
#> 1117  0.83229631        0.49791927
#> 3085  0.61678256        0.47648625
#> 3398  0.58385612        0.40406235
#> 600   0.15630180        0.07398108
#> 1845  0.85911935        0.45475121
#> 3895  0.64765018        0.31849321
#> 1861  0.85777736        0.42370499
#> 1967  0.77575078        0.42304630
#> 1408  0.77926925        0.38640932
#> 1593  0.76667671        0.23508825
#> 1041  0.56040539        0.31503097
#> 3330  0.77178739        0.38925073
#> 2097  0.70770725        0.45556745
#> 2955  0.49776044        0.17374416
#> 163   0.72530446        0.29979790
#> 2360  0.85829013        0.60358361
#> 2489  0.74524338        0.45487635
#> 2038  0.68942913        0.45411646
#> 3666  0.62269481        0.31495618
#> 685   0.70837189        0.42125766
#> 1545  0.57900763        0.23136899
#> 2663  0.62810873        0.37945275
#> 22781 0.74962153        0.48193134
#> 177   0.81537088        0.58559574
#> 1711  0.79397636        0.45599375
#> 33310 0.53593547        0.22904426
#> 300   0.87967600        0.55848989
#> 27    0.62002910        0.39101078
#> 2105  0.87994740        0.47163112
#> 3546  0.62521471        0.16710964
#> 1572  0.71012597        0.17414097
#> 15561 0.44457055        0.12679826
#> 917   0.86076133        0.54196839
#> 2215  0.51322425        0.21593930
#> 3777  0.77626855        0.22941079
#> 3468  0.65896569        0.34105636
#> 5751  0.54955030        0.26660039
#> 2440  0.43141445        0.32777833
#> 29191 0.79979312        0.52906072
#> 2779  0.81881687        0.26782762
#> 1128  0.81230237        0.45555883
#> 916   0.82956773        0.35180747
#> 1665  0.18343621        0.12650734
#> 2351  0.84600258        0.43538875
#> 837   0.81054828        0.54090872
#> 2421  0.73801620        0.37930221
#> 3328  0.85371775        0.31432047
#> 3155  0.55013931        0.25844097
#> 7201  0.80146580        0.44255035
#> 2698  0.84615306        0.57277739
#> 266   0.55030497        0.17190155
#> 3791  0.82705699        0.45820065
#> 464   0.80821363        0.41816565
#> 3474  0.45363522        0.19704358
#> 2298  0.36668456        0.29465813
#> 1371  0.69524124        0.69522957
#> 2256  0.83136933        0.31564020
#> 3742  0.75820204        0.27046542
#> 3394  0.80719518        0.38692957
#> 2110  0.88524311        0.64300435
#> 2735  0.82774559        0.51001534
#> 1028  0.85701576        0.58968111
#> 2719  0.86224738        0.42609261
#> 3541  0.74491935        0.29693853
#> 3140  0.82731590        0.43181201
#> 3365  0.81159905        0.34003141
#> 1904  0.70919701        0.40038994
#> 735   0.81803618        0.52130134
#> 1291  0.81131733        0.41110605
#> 2176  0.77312145        0.26145912
#> 2874  0.75982202        0.43862175
#> 3210  0.73477428        0.48004934
#> 1373  0.81007960        0.23480266
#> 3282  0.83980445        0.34866250
#> 3691  0.82127329        0.39119461
#> 1146  0.87498386        0.53585147
#> 109   0.83814994        0.49814129
#> 3198  0.84713698        0.44381781
#> 3335  0.57129182        0.21848200
#> 1973  0.77601349        0.45795828
#> 2377  0.79857478        0.38981295
#> 810   0.53405737        0.12238545
#> 801   0.81308490        0.44843001
#> 320   0.82657393        0.55330971
#> 1197  0.84917266        0.61896972
#> 1921  0.81049852        0.43630889
#> 719   0.79680213        0.37192712
#> 2997  0.79633976        0.35265836
#> 2648  0.71027162        0.45407231
#> 1258  0.51905378        0.27420295
#> 3557  0.84234525        0.38357826
#> 50    0.89323761        0.57349865
#> 23351 0.48226379        0.27974096
#> 3242  0.53112773        0.31248839
#> 1398  0.59079108        0.33293760
#> 3907  0.82671456        0.53647762
#> 2969  0.76961645        0.33285116
#> 925   0.73093671        0.49678790
#> 1330  0.83557187        0.43886625
#> 1031  0.64799073        0.42521466
#> 2241  0.76101913        0.57711280
#> 12    0.75927270        0.49947360
#> 1797  0.85040795        0.51865639
#> 3503  0.75866241        0.47068020
#> 3613  0.87231360        0.37660416
#> 1228  0.70101830        0.40710164
#> 3900  0.62927995        0.47818496
#> 2184  0.72804696        0.46826991
#> 34701 0.80840949        0.55500363
#> 2784  0.81259570        0.37463413
#> 3619  0.74316845        0.55738388
#> 1430  0.85009440        0.75304892

^{Created on 2020-10-21 by the reprex package (v0.3.0.9001)}

[mattansb]

It already does:

library(performance)
library(BayesFactor)
#> Loading required package: coda
#> Loading required package: Matrix
#> ************
#> Welcome to BayesFactor 0.9.12-4.3. If you have questions, please contact Richard Morey (richarddmorey@gmail.com).
#> 
#> Type BFManual() to open the manual.
#> ************

res <- anovaBF(
  formula = extra ~ group + ID,
  data = sleep,
  whichRandom = "ID",
  progress = FALSE
)

r2(res, average = TRUE)
#> # Bayesian R2 with Standard Error
#> 
#>   Conditional R2: 0.769 [0.112]
#>      Marginal R2: 0.118 [0.081]

^{Created on 2020-10-21 by the reprex package (v0.3.0)}

[IndrajeetPatil]

Yeah, my bad. I was using the wrong function.

I just had a couple more requests:

1. ci specifies the credible interval width, but there are no CIs in the output. Is it possible to include them instead of or in addition to SE? (similar to JASP output) (see image below)

2. Is it possible to include these details in the model_performance output, so that I can get this into a dataframe that I can then use elsewhere?

library(performance)
library(BayesFactor)
#> Loading required package: coda
#> Loading required package: Matrix
#> ************
#> Welcome to BayesFactor 0.9.12-4.2. If you have questions, please contact Richard Morey (richarddmorey@gmail.com).
#> 
#> Type BFManual() to open the manual.
#> ************

mod <-
  anovaBF(
    formula = Sepal.Length ~ Species,
    data = iris,
    progress = FALSE
  )

r2(
  mod,
  ci = 0.95,
  average = TRUE
)
#> # Bayesian R2 with Standard Error
#> 
#>   Conditional R2: 0.611 [0.032]

as.data.frame(r2(
  mod,
  ci = 0.95,
  average = TRUE
))
#> Error in as.data.frame.default(r2(mod, ci = 0.95, average = TRUE)): cannot coerce class '"r2_bayes"' to a data.frame

performance::model_performance(mod)
#> Error in UseMethod("model_performance"): no applicable method for 'model_performance' applied to an object of class "c('BFBayesFactor', 'BFOrNULL')"

^{Created on 2020-10-21 by the reprex package (v0.3.0.9001)}

[IndrajeetPatil]

Comparison with JASP output:

[mattansb]

The CIs are attributes to the output - so they are there somewhere. I agree that this printing is somewhat odd?

Opening a new issue.