Assignment 5C - Decision Tree Project

## Install packages (“C50”)
rm(list=ls())
set.seed(123)
library(C50)
churn <- read.csv("C:/Users/cu_dv/OneDrive/Documents/churn.csv")
churnTest <- read.csv("C:/Users/cu_dv/OneDrive/Documents/churnTest.csv")
churnTrain <- read.csv("C:/Users/cu_dv/OneDrive/Documents/churntrain.csv")

churnTest$state <- factor(churnTest$state)
churnTest$area.code <- factor(churnTest$area.code) 
churnTest$voice.plan <- factor(churnTest$voice.plan)
churnTest$intl.plan <- factor(churnTest$intl.plan)
churnTest$churn <- factor(churnTest$churn)

churnTrain$state <- factor(churnTrain$state)
churnTrain$area.code <- factor(churnTrain$area.code) 
churnTrain$voice.plan <- factor(churnTrain$voice.plan)
churnTrain$intl.plan <- factor(churnTrain$intl.plan)
churnTrain$churn <- factor(churnTrain$churn)

churn <-rbind (churnTrain, churnTest)

str (churn)

## 'data.frame':    5000 obs. of  20 variables:
##  $ state         : Factor w/ 51 levels "AK","AL","AR",..: 12 45 27 9 13 8 37 8 12 41 ...
##  $ area.code     : Factor w/ 3 levels "area_code_408",..: 1 3 3 1 1 1 3 2 3 2 ...
##  $ account.length: int  169 139 78 125 105 73 52 78 171 41 ...
##  $ voice.plan    : Factor w/ 2 levels "no","yes": 1 1 1 1 2 1 1 1 1 1 ...
##  $ voice.messages: int  0 0 0 0 31 0 0 0 0 0 ...
##  $ intl.plan     : Factor w/ 2 levels "no","yes": 1 1 1 1 2 1 1 2 1 1 ...
##  $ intl.mins     : num  7.7 11.4 13.3 13.3 10.8 5.8 14.1 16.6 10.3 8.6 ...
##  $ intl.calls    : int  2 2 6 7 4 5 3 5 1 3 ...
##  $ intl.charge   : num  2.08 3.08 3.59 3.59 2.92 1.57 3.81 4.48 2.78 2.32 ...
##  $ day.mins      : num  241 259 186 127 172 ...
##  $ day.calls     : int  119 94 102 108 103 92 100 107 122 117 ...
##  $ day.charge    : num  40.9 44 31.6 21.5 29.3 ...
##  $ eve.mins      : num  141 190 252 206 114 ...
##  $ eve.calls     : int  102 132 88 90 102 114 139 98 85 108 ...
##  $ eve.charge    : num  11.99 16.18 21.39 17.51 9.66 ...
##  $ night.mins    : num  121 247 203 248 262 ...
##  $ night.calls   : int  56 73 86 114 104 128 53 80 84 110 ...
##  $ night.charge  : num  5.43 11.12 9.13 11.15 11.77 ...
##  $ customer.calls: int  2 1 2 1 2 1 1 2 0 1 ...
##  $ churn         : Factor w/ 2 levels "no","yes": 1 2 1 1 1 1 1 2 1 1 ...

str (churnTrain)

## 'data.frame':    4000 obs. of  20 variables:
##  $ state         : Factor w/ 51 levels "AK","AL","AR",..: 12 45 27 9 13 8 37 8 12 41 ...
##  $ area.code     : Factor w/ 3 levels "area_code_408",..: 1 3 3 1 1 1 3 2 3 2 ...
##  $ account.length: int  169 139 78 125 105 73 52 78 171 41 ...
##  $ voice.plan    : Factor w/ 2 levels "no","yes": 1 1 1 1 2 1 1 1 1 1 ...
##  $ voice.messages: int  0 0 0 0 31 0 0 0 0 0 ...
##  $ intl.plan     : Factor w/ 2 levels "no","yes": 1 1 1 1 2 1 1 2 1 1 ...
##  $ intl.mins     : num  7.7 11.4 13.3 13.3 10.8 5.8 14.1 16.6 10.3 8.6 ...
##  $ intl.calls    : int  2 2 6 7 4 5 3 5 1 3 ...
##  $ intl.charge   : num  2.08 3.08 3.59 3.59 2.92 1.57 3.81 4.48 2.78 2.32 ...
##  $ day.mins      : num  241 259 186 127 172 ...
##  $ day.calls     : int  119 94 102 108 103 92 100 107 122 117 ...
##  $ day.charge    : num  40.9 44 31.6 21.5 29.3 ...
##  $ eve.mins      : num  141 190 252 206 114 ...
##  $ eve.calls     : int  102 132 88 90 102 114 139 98 85 108 ...
##  $ eve.charge    : num  11.99 16.18 21.39 17.51 9.66 ...
##  $ night.mins    : num  121 247 203 248 262 ...
##  $ night.calls   : int  56 73 86 114 104 128 53 80 84 110 ...
##  $ night.charge  : num  5.43 11.12 9.13 11.15 11.77 ...
##  $ customer.calls: int  2 1 2 1 2 1 1 2 0 1 ...
##  $ churn         : Factor w/ 2 levels "no","yes": 1 2 1 1 1 1 1 2 1 1 ...

str (churnTest)

## 'data.frame':    1000 obs. of  20 variables:
##  $ state         : Factor w/ 51 levels "AK","AL","AR",..: 1 3 41 11 15 43 34 47 13 32 ...
##  $ area.code     : Factor w/ 3 levels "area_code_408",..: 3 1 2 1 2 2 1 2 1 1 ...
##  $ account.length: int  146 87 59 122 71 74 116 100 83 35 ...
##  $ voice.plan    : Factor w/ 2 levels "no","yes": 1 1 1 1 1 2 1 2 1 1 ...
##  $ voice.messages: int  0 0 0 0 0 25 0 25 0 0 ...
##  $ intl.plan     : Factor w/ 2 levels "no","yes": 2 1 1 1 1 1 1 1 2 1 ...
##  $ intl.mins     : num  11.2 6.6 10.5 12.1 12.1 13.7 7.9 11.6 9.2 6.9 ...
##  $ intl.calls    : int  3 4 4 2 3 4 2 4 1 5 ...
##  $ intl.charge   : num  3.02 1.78 2.84 3.27 3.27 3.7 2.13 3.13 2.48 1.86 ...
##  $ day.mins      : num  133 185.8 128.7 93.3 207 ...
##  $ day.calls     : int  65 119 85 109 112 113 54 90 105 67 ...
##  $ day.charge    : num  22.6 31.6 21.9 15.9 35.2 ...
##  $ eve.mins      : num  263 192 170 214 174 ...
##  $ eve.calls     : int  93 83 121 104 96 82 82 92 96 96 ...
##  $ eve.charge    : num  22.3 16.4 14.4 18.2 14.8 ...
##  $ night.mins    : num  214 200 207 177 178 ...
##  $ night.calls   : int  128 96 98 104 61 77 116 157 100 80 ...
##  $ night.charge  : num  9.64 9 9.33 7.95 8.03 ...
##  $ customer.calls: int  1 1 3 0 1 0 2 1 3 2 ...
##  $ churn         : Factor w/ 2 levels "no","yes": 1 1 1 1 1 1 1 1 2 1 ...

## Model Training  

library(caret)

## Loading required package: ggplot2

## Loading required package: lattice

library(rpart)
library(ggplot2)
#ctrl <- trainControl(method = "cv", number = 5)
dt_model <- train(churn ~., data = churnTrain, metric = "Accuracy", method = "rpart")


typeof(dt_model)

## [1] "list"

names(dt_model)

##  [1] "method"       "modelInfo"    "modelType"    "results"      "pred"        
##  [6] "bestTune"     "call"         "dots"         "metric"       "control"     
## [11] "finalModel"   "preProcess"   "trainingData" "ptype"        "resample"    
## [16] "resampledCM"  "perfNames"    "maximize"     "yLimits"      "times"       
## [21] "levels"       "terms"        "coefnames"    "contrasts"    "xlevels"

## Check Decision Tree Classifier

print(dt_model)

## CART 
## 
## 4000 samples
##   19 predictor
##    2 classes: 'no', 'yes' 
## 
## No pre-processing
## Resampling: Bootstrapped (25 reps) 
## Summary of sample sizes: 4000, 4000, 4000, 4000, 4000, 4000, ... 
## Resampling results across tuning parameters:
## 
##   cp          Accuracy   Kappa    
##   0.05148342  0.9150171  0.5835502
##   0.06282723  0.8985698  0.4935908
##   0.07373473  0.8796988  0.3099942
## 
## Accuracy was used to select the optimal model using the largest value.
## The final value used for the model was cp = 0.05148342.

# To do:  Interpret the results in this output section
#The dataset has 4000 records  19 and predictors/variables and the Target response variable has two classes Yes/No. The caret package uses a ten folds cross-validation-resampling technique. The output has three accuracy model where the maximum accuracy was 0.922, cp value 0.052 and kappa = 0.608.

#cp - Complexity parameter
#Accuracy - Accuracy rate

# To do:  Explain cp, accuracy and kappa (Look up kappa)

#CP-is a tuning parameter in machine learning models, particularly decision trees, that controls the trade-off between a model's complexity and its fit to the data

#Accuracy-The number of correct predictions made divided by the total number of predictions made.

#kappa-A higher kappa value indicates better performance, with 1 being perfect agreement, 0 being chance agreement, and negative values indicating worse-than-chance agreement. 

## Check Decision Tree Classifier Details     

print(dt_model$finalModel)

## n= 4000 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
##  1) root 4000 573 no (0.85675000 0.14325000)  
##    2) day.mins< 254.5 3657 394 no (0.89226142 0.10773858)  
##      4) customer.calls< 3.5 3359 245 no (0.92706163 0.07293837) *
##      5) customer.calls>=3.5 298 149 no (0.50000000 0.50000000)  
##       10) day.mins>=160.2 179  45 no (0.74860335 0.25139665) *
##       11) day.mins< 160.2 119  15 yes (0.12605042 0.87394958) *
##    3) day.mins>=254.5 343 164 yes (0.47813411 0.52186589)  
##      6) voice.planyes>=0.5 79   7 no (0.91139241 0.08860759) *
##      7) voice.planyes< 0.5 264  92 yes (0.34848485 0.65151515)  
##       14) eve.mins< 187.75 110  37 no (0.66363636 0.33636364) *
##       15) eve.mins>=187.75 154  19 yes (0.12337662 0.87662338) *

## Check Decision Tree Classifier Details     

print(dt_model$finalModel)

## n= 4000 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
##  1) root 4000 573 no (0.85675000 0.14325000)  
##    2) day.mins< 254.5 3657 394 no (0.89226142 0.10773858)  
##      4) customer.calls< 3.5 3359 245 no (0.92706163 0.07293837) *
##      5) customer.calls>=3.5 298 149 no (0.50000000 0.50000000)  
##       10) day.mins>=160.2 179  45 no (0.74860335 0.25139665) *
##       11) day.mins< 160.2 119  15 yes (0.12605042 0.87394958) *
##    3) day.mins>=254.5 343 164 yes (0.47813411 0.52186589)  
##      6) voice.planyes>=0.5 79   7 no (0.91139241 0.08860759) *
##      7) voice.planyes< 0.5 264  92 yes (0.34848485 0.65151515)  
##       14) eve.mins< 187.75 110  37 no (0.66363636 0.33636364) *
##       15) eve.mins>=187.75 154  19 yes (0.12337662 0.87662338) *

## Model Prediction (2)

dt_predict <- predict(dt_model, newdata=churnTest, na.action=na.omit, type="prob")
head(dt_predict)

##          no        yes
## 1 0.9270616 0.07293837
## 2 0.9270616 0.07293837
## 3 0.9270616 0.07293837
## 4 0.9270616 0.07293837
## 5 0.9270616 0.07293837
## 6 0.9270616 0.07293837

# To do:  Explain the results in the output of this section. The prediction function provides the probability of success or failure for each observation in the test dataset.

## Model Prediction (2)
dt_predict2 <- predict(dt_model, newdata=churnTest, type= "raw")
head(dt_predict2)

## [1] no no no no no no
## Levels: no yes

#To do:  Explain the results in the output of this section.It predicts the raw  default value for the model. The category values of the model, Yes or No.

## Model Tuning (1)

dt_model_tune <- train(churn ~. , data=churnTrain, method ="rpart", metric ="Accuracy", 
                        tuneLength = 8)

print(dt_model_tune$finalModel)

## n= 4000 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
##   1) root 4000 573 no (0.85675000 0.14325000)  
##     2) day.mins< 254.5 3657 394 no (0.89226142 0.10773858)  
##       4) customer.calls< 3.5 3359 245 no (0.92706163 0.07293837)  
##         8) intl.planyes< 0.5 3054 137 no (0.95514080 0.04485920)  
##          16) day.mins< 221.85 2621  72 no (0.97252957 0.02747043) *
##          17) day.mins>=221.85 433  65 no (0.84988453 0.15011547)  
##            34) eve.mins< 241.45 342  17 no (0.95029240 0.04970760) *
##            35) eve.mins>=241.45 91  43 yes (0.47252747 0.52747253)  
##              70) voice.planyes>=0.5 22   0 no (1.00000000 0.00000000) *
##              71) voice.planyes< 0.5 69  21 yes (0.30434783 0.69565217)  
##               142) night.mins< 183.7 19   6 no (0.68421053 0.31578947) *
##               143) night.mins>=183.7 50   8 yes (0.16000000 0.84000000) *
##         9) intl.planyes>=0.5 305 108 no (0.64590164 0.35409836)  
##          18) intl.mins< 13.05 246  49 no (0.80081301 0.19918699)  
##            36) intl.calls>=2.5 201   4 no (0.98009950 0.01990050) *
##            37) intl.calls< 2.5 45   0 yes (0.00000000 1.00000000) *
##          19) intl.mins>=13.05 59   0 yes (0.00000000 1.00000000) *
##       5) customer.calls>=3.5 298 149 no (0.50000000 0.50000000)  
##        10) day.mins>=160.2 179  45 no (0.74860335 0.25139665)  
##          20) eve.mins>=141.45 160  31 no (0.80625000 0.19375000)  
##            40) day.mins>=188.15 97  10 no (0.89690722 0.10309278) *
##            41) day.mins< 188.15 63  21 no (0.66666667 0.33333333)  
##              82) eve.mins>=190.8 44   6 no (0.86363636 0.13636364) *
##              83) eve.mins< 190.8 19   4 yes (0.21052632 0.78947368) *
##          21) eve.mins< 141.45 19   5 yes (0.26315789 0.73684211) *
##        11) day.mins< 160.2 119  15 yes (0.12605042 0.87394958) *
##     3) day.mins>=254.5 343 164 yes (0.47813411 0.52186589)  
##       6) voice.planyes>=0.5 79   7 no (0.91139241 0.08860759) *
##       7) voice.planyes< 0.5 264  92 yes (0.34848485 0.65151515)  
##        14) eve.mins< 187.75 110  37 no (0.66363636 0.33636364)  
##          28) day.mins< 285.5 77  12 no (0.84415584 0.15584416) *
##          29) day.mins>=285.5 33   8 yes (0.24242424 0.75757576) *
##        15) eve.mins>=187.75 154  19 yes (0.12337662 0.87662338)  
##          30) night.mins< 146.75 20   8 no (0.60000000 0.40000000)  
##            60) day.mins< 274.5 13   1 no (0.92307692 0.07692308) *
##            61) day.mins>=274.5 7   0 yes (0.00000000 1.00000000) *
##          31) night.mins>=146.75 134   7 yes (0.05223881 0.94776119) *

# To do:  Explain what the arguments, method=”rpart”, and metric=”Accuracy” and tell what they are telling the model to do?

#method="rpart" --> develop a decision tree model using rpart package.
#metric="Accuracy"  --> Use the highest "accuracy" rate to select the optimal model.

## Model Tuning (2)

dt_model_tune2 <- train(churn ~. , data=churnTrain, method ="rpart",

                                                            tuneGrid = expand.grid(cp=seq(0, 0.1, 0.01)))

print(dt_model_tune2$finalModel)

## n= 4000 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
##   1) root 4000 573 no (0.85675000 0.14325000)  
##     2) day.mins< 254.5 3657 394 no (0.89226142 0.10773858)  
##       4) customer.calls< 3.5 3359 245 no (0.92706163 0.07293837)  
##         8) intl.planyes< 0.5 3054 137 no (0.95514080 0.04485920)  
##          16) day.mins< 221.85 2621  72 no (0.97252957 0.02747043) *
##          17) day.mins>=221.85 433  65 no (0.84988453 0.15011547)  
##            34) eve.mins< 241.45 342  17 no (0.95029240 0.04970760) *
##            35) eve.mins>=241.45 91  43 yes (0.47252747 0.52747253)  
##              70) voice.planyes>=0.5 22   0 no (1.00000000 0.00000000) *
##              71) voice.planyes< 0.5 69  21 yes (0.30434783 0.69565217)  
##               142) night.mins< 183.7 19   6 no (0.68421053 0.31578947) *
##               143) night.mins>=183.7 50   8 yes (0.16000000 0.84000000) *
##         9) intl.planyes>=0.5 305 108 no (0.64590164 0.35409836)  
##          18) intl.mins< 13.05 246  49 no (0.80081301 0.19918699)  
##            36) intl.calls>=2.5 201   4 no (0.98009950 0.01990050) *
##            37) intl.calls< 2.5 45   0 yes (0.00000000 1.00000000) *
##          19) intl.mins>=13.05 59   0 yes (0.00000000 1.00000000) *
##       5) customer.calls>=3.5 298 149 no (0.50000000 0.50000000)  
##        10) day.mins>=160.2 179  45 no (0.74860335 0.25139665)  
##          20) eve.mins>=141.45 160  31 no (0.80625000 0.19375000) *
##          21) eve.mins< 141.45 19   5 yes (0.26315789 0.73684211) *
##        11) day.mins< 160.2 119  15 yes (0.12605042 0.87394958) *
##     3) day.mins>=254.5 343 164 yes (0.47813411 0.52186589)  
##       6) voice.planyes>=0.5 79   7 no (0.91139241 0.08860759) *
##       7) voice.planyes< 0.5 264  92 yes (0.34848485 0.65151515)  
##        14) eve.mins< 187.75 110  37 no (0.66363636 0.33636364)  
##          28) day.mins< 285.5 77  12 no (0.84415584 0.15584416) *
##          29) day.mins>=285.5 33   8 yes (0.24242424 0.75757576) *
##        15) eve.mins>=187.75 154  19 yes (0.12337662 0.87662338) *

# To do:  What is the default cp=  in the tuneGrid argument? cp=0.10

# To do:  Notice the terminal nodes indicated by * in the output

## Model Pre-Pruning

dt_model_preprune <- train(churn ~. , data=churnTrain, method ="rpart", metric="Accuracy",  tuneLength = 8, control = rpart.control(minsplit=50, minbucket=20, maxdepth=5))

# To do:  Explain the control argument.
#minsplit=50: Minimum number of observations required in the node to split node is 50.
#minbucket=20: Minimum number of observation required in terminal node is 20.
#maxdepth=5: Maximum depth of any node is 5. The root node depth is zero.

print(dt_model_preprune$finalModel)

## n= 4000 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
##  1) root 4000 573 no (0.85675000 0.14325000)  
##    2) day.mins< 254.5 3657 394 no (0.89226142 0.10773858)  
##      4) customer.calls< 3.5 3359 245 no (0.92706163 0.07293837)  
##        8) intl.planyes< 0.5 3054 137 no (0.95514080 0.04485920) *
##        9) intl.planyes>=0.5 305 108 no (0.64590164 0.35409836)  
##         18) intl.mins< 13.05 246  49 no (0.80081301 0.19918699)  
##           36) intl.calls>=2.5 201   4 no (0.98009950 0.01990050) *
##           37) intl.calls< 2.5 45   0 yes (0.00000000 1.00000000) *
##         19) intl.mins>=13.05 59   0 yes (0.00000000 1.00000000) *
##      5) customer.calls>=3.5 298 149 no (0.50000000 0.50000000)  
##       10) day.mins>=160.2 179  45 no (0.74860335 0.25139665)  
##         20) eve.mins>=146.8 153  28 no (0.81699346 0.18300654) *
##         21) eve.mins< 146.8 26   9 yes (0.34615385 0.65384615) *
##       11) day.mins< 160.2 119  15 yes (0.12605042 0.87394958) *
##    3) day.mins>=254.5 343 164 yes (0.47813411 0.52186589)  
##      6) voice.planyes>=0.5 79   7 no (0.91139241 0.08860759) *
##      7) voice.planyes< 0.5 264  92 yes (0.34848485 0.65151515)  
##       14) eve.mins< 187.75 110  37 no (0.66363636 0.33636364)  
##         28) day.mins< 285.5 77  12 no (0.84415584 0.15584416) *
##         29) day.mins>=285.5 33   8 yes (0.24242424 0.75757576) *
##       15) eve.mins>=187.75 154  19 yes (0.12337662 0.87662338) *

## Model Post-Pruning  

dt_model_postprune <- prune(dt_model$finalModel, cp = 0.2)

print(dt_model_postprune)

## n= 4000 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
## 1) root 4000 573 no (0.8567500 0.1432500) *

## Check Decision Tree Classifier (1)

plot(dt_model$finalModel)

text(dt_model$finalModel)

summary(dt_model$finalModel)

## Call:
## (function (formula, data, weights, subset, na.action = na.rpart, 
##     method, model = FALSE, x = FALSE, y = TRUE, parms, control, 
##     cost, ...) 
## {
##     Call <- match.call()
##     if (is.data.frame(model)) {
##         m <- model
##         model <- FALSE
##     }
##     else {
##         indx <- match(c("formula", "data", "weights", "subset"), 
##             names(Call), nomatch = 0)
##         if (indx[1] == 0) 
##             stop("a 'formula' argument is required")
##         temp <- Call[c(1, indx)]
##         temp$na.action <- na.action
##         temp[[1]] <- quote(stats::model.frame)
##         m <- eval.parent(temp)
##     }
##     Terms <- attr(m, "terms")
##     if (any(attr(Terms, "order") > 1)) 
##         stop("Trees cannot handle interaction terms")
##     Y <- model.response(m)
##     wt <- model.weights(m)
##     if (any(wt < 0)) 
##         stop("negative weights not allowed")
##     if (!length(wt)) 
##         wt <- rep(1, nrow(m))
##     offset <- model.offset(m)
##     X <- rpart.matrix(m)
##     nobs <- nrow(X)
##     nvar <- ncol(X)
##     if (missing(method)) {
##         method <- if (is.factor(Y) || is.character(Y)) 
##             "class"
##         else if (inherits(Y, "Surv")) 
##             "exp"
##         else if (is.matrix(Y)) 
##             "poisson"
##         else "anova"
##     }
##     if (is.list(method)) {
##         mlist <- method
##         method <- "user"
##         init <- if (missing(parms)) 
##             mlist$init(Y, offset, wt = wt)
##         else mlist$init(Y, offset, parms, wt)
##         keep <- rpartcallback(mlist, nobs, init)
##         method.int <- 4
##         parms <- init$parms
##     }
##     else {
##         method.int <- pmatch(method, c("anova", "poisson", "class", 
##             "exp"))
##         if (is.na(method.int)) 
##             stop("Invalid method")
##         method <- c("anova", "poisson", "class", "exp")[method.int]
##         if (method.int == 4) 
##             method.int <- 2
##         init <- if (missing(parms)) 
##             get(paste("rpart", method, sep = "."), envir = environment())(Y, 
##                 offset, , wt)
##         else get(paste("rpart", method, sep = "."), envir = environment())(Y, 
##             offset, parms, wt)
##         ns <- asNamespace("rpart")
##         if (!is.null(init$print)) 
##             environment(init$print) <- ns
##         if (!is.null(init$summary)) 
##             environment(init$summary) <- ns
##         if (!is.null(init$text)) 
##             environment(init$text) <- ns
##     }
##     Y <- init$y
##     xlevels <- .getXlevels(Terms, m)
##     cats <- rep(0, ncol(X))
##     if (!is.null(xlevels)) {
##         indx <- match(names(xlevels), colnames(X), nomatch = 0)
##         cats[indx] <- (unlist(lapply(xlevels, length)))[indx > 
##             0]
##     }
##     extraArgs <- list(...)
##     if (length(extraArgs)) {
##         controlargs <- names(formals(rpart.control))
##         indx <- match(names(extraArgs), controlargs, nomatch = 0)
##         if (any(indx == 0)) 
##             stop(gettextf("Argument %s not matched", names(extraArgs)[indx == 
##                 0]), domain = NA)
##     }
##     controls <- rpart.control(...)
##     if (!missing(control)) {
##         if (!all(names(control) %in% names(controls))) 
##             stop("unkown named elements in 'control'")
##         controls <- do.call(rpart.control, control)
##     }
##     xval <- controls$xval
##     if (is.null(xval) || (length(xval) == 1 && xval == 0) || 
##         method == "user") {
##         xgroups <- 0
##         xval <- 0
##     }
##     else if (length(xval) == 1) {
##         xgroups <- sample(rep(1:xval, length.out = nobs), nobs, 
##             replace = FALSE)
##     }
##     else if (length(xval) == nobs) {
##         xgroups <- xval
##         xval <- length(unique(xgroups))
##     }
##     else {
##         if (!is.null(attr(m, "na.action"))) {
##             temp <- as.integer(attr(m, "na.action"))
##             xval <- xval[-temp]
##             if (length(xval) == nobs) {
##                 xgroups <- xval
##                 xval <- length(unique(xgroups))
##             }
##             else stop("Wrong length for 'xval'")
##         }
##         else stop("Wrong length for 'xval'")
##     }
##     if (missing(cost)) 
##         cost <- rep(1, nvar)
##     else {
##         if (length(cost) != nvar) 
##             stop("Cost vector is the wrong length")
##         if (any(cost <= 0)) 
##             stop("Cost vector must be positive")
##     }
##     tfun <- function(x) if (is.matrix(x)) 
##         rep(is.ordered(x), ncol(x))
##     else is.ordered(x)
##     labs <- sub("^`(.*)`$", "\\1", attr(Terms, "term.labels"))
##     isord <- unlist(lapply(m[labs], tfun))
##     storage.mode(X) <- "double"
##     storage.mode(wt) <- "double"
##     temp <- as.double(unlist(init$parms))
##     if (!length(temp)) 
##         temp <- 0
##     rpfit <- .Call(C_rpart, ncat = as.integer(cats * !isord), 
##         method = as.integer(method.int), as.double(unlist(controls)), 
##         temp, as.integer(xval), as.integer(xgroups), as.double(t(init$y)), 
##         X, wt, as.integer(init$numy), as.double(cost))
##     nsplit <- nrow(rpfit$isplit)
##     ncat <- if (!is.null(rpfit$csplit)) 
##         nrow(rpfit$csplit)
##     else 0
##     if (nsplit == 0) 
##         xval <- 0
##     numcp <- ncol(rpfit$cptable)
##     temp <- if (nrow(rpfit$cptable) == 3) 
##         c("CP", "nsplit", "rel error")
##     else c("CP", "nsplit", "rel error", "xerror", "xstd")
##     dimnames(rpfit$cptable) <- list(temp, 1:numcp)
##     tname <- c("<leaf>", colnames(X))
##     splits <- matrix(c(rpfit$isplit[, 2:3], rpfit$dsplit), ncol = 5, 
##         dimnames = list(tname[rpfit$isplit[, 1] + 1], c("count", 
##             "ncat", "improve", "index", "adj")))
##     index <- rpfit$inode[, 2]
##     nadd <- sum(isord[rpfit$isplit[, 1]])
##     if (nadd > 0) {
##         newc <- matrix(0, nadd, max(cats))
##         cvar <- rpfit$isplit[, 1]
##         indx <- isord[cvar]
##         cdir <- splits[indx, 2]
##         ccut <- floor(splits[indx, 4])
##         splits[indx, 2] <- cats[cvar[indx]]
##         splits[indx, 4] <- ncat + 1:nadd
##         for (i in 1:nadd) {
##             newc[i, 1:(cats[(cvar[indx])[i]])] <- -as.integer(cdir[i])
##             newc[i, 1:ccut[i]] <- as.integer(cdir[i])
##         }
##         catmat <- if (ncat == 0) 
##             newc
##         else {
##             cs <- rpfit$csplit
##             ncs <- ncol(cs)
##             ncc <- ncol(newc)
##             if (ncs < ncc) 
##                 cs <- cbind(cs, matrix(0, nrow(cs), ncc - ncs))
##             rbind(cs, newc)
##         }
##         ncat <- ncat + nadd
##     }
##     else catmat <- rpfit$csplit
##     if (nsplit == 0) {
##         frame <- data.frame(row.names = 1, var = "<leaf>", n = rpfit$inode[, 
##             5], wt = rpfit$dnode[, 3], dev = rpfit$dnode[, 1], 
##             yval = rpfit$dnode[, 4], complexity = rpfit$dnode[, 
##                 2], ncompete = 0, nsurrogate = 0)
##     }
##     else {
##         temp <- ifelse(index == 0, 1, index)
##         svar <- ifelse(index == 0, 0, rpfit$isplit[temp, 1])
##         frame <- data.frame(row.names = rpfit$inode[, 1], var = tname[svar + 
##             1], n = rpfit$inode[, 5], wt = rpfit$dnode[, 3], 
##             dev = rpfit$dnode[, 1], yval = rpfit$dnode[, 4], 
##             complexity = rpfit$dnode[, 2], ncompete = pmax(0, 
##                 rpfit$inode[, 3] - 1), nsurrogate = rpfit$inode[, 
##                 4])
##     }
##     if (method.int == 3) {
##         numclass <- init$numresp - 2
##         nodeprob <- rpfit$dnode[, numclass + 5]/sum(wt)
##         temp <- pmax(1, init$counts)
##         temp <- rpfit$dnode[, 4 + (1:numclass)] %*% diag(init$parms$prior/temp)
##         yprob <- temp/rowSums(temp)
##         yval2 <- matrix(rpfit$dnode[, 4 + (0:numclass)], ncol = numclass + 
##             1)
##         frame$yval2 <- cbind(yval2, yprob, nodeprob)
##     }
##     else if (init$numresp > 1) 
##         frame$yval2 <- rpfit$dnode[, -(1:3), drop = FALSE]
##     if (is.null(init$summary)) 
##         stop("Initialization routine is missing the 'summary' function")
##     functions <- if (is.null(init$print)) 
##         list(summary = init$summary)
##     else list(summary = init$summary, print = init$print)
##     if (!is.null(init$text)) 
##         functions <- c(functions, list(text = init$text))
##     if (method == "user") 
##         functions <- c(functions, mlist)
##     where <- rpfit$which
##     names(where) <- row.names(m)
##     ans <- list(frame = frame, where = where, call = Call, terms = Terms, 
##         cptable = t(rpfit$cptable), method = method, parms = init$parms, 
##         control = controls, functions = functions, numresp = init$numresp)
##     if (nsplit) 
##         ans$splits = splits
##     if (ncat > 0) 
##         ans$csplit <- catmat + 2
##     if (nsplit) 
##         ans$variable.importance <- importance(ans)
##     if (model) {
##         ans$model <- m
##         if (missing(y)) 
##             y <- FALSE
##     }
##     if (y) 
##         ans$y <- Y
##     if (x) {
##         ans$x <- X
##         ans$wt <- wt
##     }
##     ans$ordered <- isord
##     if (!is.null(attr(m, "na.action"))) 
##         ans$na.action <- attr(m, "na.action")
##     if (!is.null(xlevels)) 
##         attr(ans, "xlevels") <- xlevels
##     if (method == "class") 
##         attr(ans, "ylevels") <- init$ylevels
##     class(ans) <- "rpart"
##     ans
## })(formula = .outcome ~ ., data = list(c(0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
## 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
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##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
##     1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
##     1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
##     1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
##     0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
##     0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), c(7.7, 
##     11.4, 13.3, 13.3, 10.8, 5.8, 14.1, 16.6, 10.3, 8.6, 9.8, 
##     12.1, 10.7, 8.5, 11.1, 11.7, 7.4, 8.5, 13.6, 13, 8.4, 8.6, 
##     9.9, 2.1, 16.7, 4.6, 8, 6.8, 5.8, 8.6, 11.7, 9, 10.5, 8.7, 
##     0, 12.3, 6.7, 9.3, 8.7, 12, 9.8, 10.2, 8.7, 14, 9, 12.7, 
##     5.3, 17.8, 8.3, 12, 10.5, 10.7, 6.5, 6.5, 11.3, 9.2, 8, 12.5, 
##     14.8, 9.7, 8.9, 9.7, 8.3, 10.6, 7.7, 10.5, 9.1, 12.8, 10.6, 
##     10.6, 13.7, 7.1, 14.2, 10.5, 9.5, 6.8, 7.3, 10.6, 8.3, 8.6, 
##     9.4, 11.6, 6.8, 10.4, 13.6, 11.3, 13.2, 13.4, 17.3, 13.1, 
##     7.3, 10.7, 8.6, 0, 11.7, 7.5, 9.4, 10.1, 11.5, 10.7, 15.3, 
##     9.4, 9.2, 10.5, 11.1, 9, 9.3, 10.8, 5.2, 8.8, 12.7, 5.7, 
##     6, 12.1, 5.4, 14.8, 5.8, 13, 10.5, 7.1, 5.9, 7.6, 10.7, 13.3, 
##     12.4, 8.2, 10.1, 14.9, 14, 8.9, 10.8, 9.8, 9.1, 12, 14.5, 
##     13, 11.3, 11.5, 10.6, 11.1, 6.5, 16.6, 13.1, 11.5, 10.8, 
##     11.1, 17, 10.5, 8.3, 10.4, 16.6, 15.1, 9.5, 10, 10.7, 8.8, 
##     8.1, 14.4, 7.6, 5.4, 9.2, 8, 9.2, 14.7, 8.7, 15.8, 7.8, 13.8, 
##     12.4, 11.4, 4.4, 11.3, 8.8, 11.9, 14, 11.2, 6.9, 17.2, 9.8, 
##     9.2, 7.4, 7, 13, 15.1, 5, 7.6, 11.4, 9.1, 10.1, 8, 8.9, 11.7, 
##     8.5, 10.6, 14.8, 12.4, 12.1, 11.5, 12.7, 11.5, 10.5, 10.1, 
##     13.9, 6.8, 11.2, 7.8, 11.1, 5.4, 10.9, 8, 12.4, 7.1, 12.2, 
##     12.9, 10.7, 9, 9.3, 11.8, 9.4, 14.1, 10, 11, 9.8, 7.5, 3.5, 
##     12.6, 8.8, 11, 11.6, 11.9, 7.4, 17.3, 9.7, 8.5, 10.6, 9.7, 
##     8.8, 10.6, 13.9, 6.7, 11.5, 9.7, 16.9, 11, 15.5, 9.3, 13.6, 
##     6.6, 13.8, 11.3, 10.9, 8.9, 12, 14.8, 13.2, 9.3, 8.2, 11.8, 
##     13.5, 9.6, 6.3, 10.8, 13.9, 10.4, 9.5, 7.6, 9.5, 8.2, 6.3, 
##     7.6, 10.1, 10.1, 12.1, 5.8, 9.9, 9.6, 9.5, 14.1, 11.2, 8.7, 
##     11.4, 13.2, 6.2, 5.3, 11, 10.1, 7.2, 0, 12.8, 7, 10.4, 10.8, 
##     15.4, 9, 11.1, 15.5, 13.1, 11.7, 8, 11.9, 7.9, 9.3, 11.4, 
##     12.7, 10.9, 11.2, 13, 17.8, 10.8, 13.7, 10.5, 9.2, 13.1, 
##     11.6, 11.7, 14.6, 14, 12.6, 8.6, 10.8, 11.2, 10.9, 10.8, 
##     11.4, 7.6, 10.3, 7.1, 10.6, 7.7, 10.2, 6.7, 8.9, 12.5, 10.6, 
##     8.9, 13, 9.8, 7.4, 11, 12, 9.9, 7.7, 10.8, 16.2, 17.2, 11.8, 
##     9.6, 15.1, 11.7, 13.7, 12.3, 9.7, 13.2, 11, 8.5, 11.5, 11.3, 
##     7.9, 10.2, 12.1, 12.2, 10.3, 10.1, 11.7, 7.4, 10.9, 14.1, 
##     11.4, 9.7, 10, 13.2, 11, 12.2, 12.8, 7.8, 11.2, 11.9, 13.7, 
##     9.3, 11.4, 9.4, 10.8, 11, 11.9, 8.8, 8.1, 10.2, 10.4, 9, 
##     10.4, 5.7, 11.3, 11.2, 6.8, 8.9, 8.1, 4.8, 9.4, 9.1, 11.7, 
##     10, 11.8, 10, 11, 11.3, 12.2, 10.2, 8.8, 10.6, 8.7, 8.5, 
##     11, 12.4, 7.3, 11.4, 9.9, 10.6, 13.6, 11.8, 10.7, 16.7, 6.9, 
##     12.6, 8.5, 5.7, 12.5, 10.6, 10.5, 8.3, 12.3, 8.8, 4.2, 11.3, 
##     11, 12.7, 12.8, 3.7, 9, 13.9, 11, 10.7, 8.9, 5.5, 7.9, 10, 
##     15.7, 13.9, 9.9, 11.9, 13.4, 13.1, 4.4, 8.2, 12.9, 9.6, 8.2, 
##     14.1, 8.9, 9.8, 7.5, 5, 15, 12.5, 12.8, 10.9, 10.8, 13.5, 
##     5.9, 5.8, 10.5, 7.2, 11.6, 9, 8.7, 15.2, 9.7, 12.2, 9.3, 
##     9.2, 10, 8.7, 11.7, 11.6, 9.9, 6.1, 9.8, 9.7, 9.1, 9, 7.4, 
##     7.8, 11.1, 14.8, 11.4, 10.5, 10.1, 10.9, 11.1, 10.1, 9.4, 
##     12, 7.5, 10.5, 8.5, 12.7, 12.5, 6, 11.9, 12.1, 11.4, 14.4, 
##     13.3, 7.7, 11.2, 10.2, 11.7, 14.8, 11, 9.1, 6.6, 19.7, 10.9, 
##     13.3, 8.8, 11.8, 11.4, 15.6, 12.1, 10, 5, 15.6, 6.4, 13.5, 
##     11, 8.2, 11, 10.3, 11.3, 10.2, 14.3, 12.9, 7.4, 15.5, 9.6, 
##     11.1, 14.4, 13.2, 11.6, 17.7, 10.5, 13, 8.1, 0, 7.4, 10.2, 
##     7.9, 12.2, 12, 11.3, 10, 10.7, 11.1, 10.3, 6.5, 8, 12.1, 
##     9, 13.2, 16.4, 10.7, 11.1, 10.8, 12.9, 9.3, 8, 6.6, 9.6, 
##     15.4, 12.5, 0, 14.6, 10.5, 13, 10.7, 11.1, 7.5, 9.5, 6.5, 
##     10.4, 5.8, 10, 5.7, 10.7, 7.9, 9.4, 9.2, 10.1, 10.4, 5.6, 
##     1.1, 8.4, 13.8, 16.2, 12.4, 11, 9.5, 11.8, 11.9, 13.8, 5.7, 
##     6.8, 9.4, 13.1, 13.2, 8.5, 12.9, 9.8, 9.8, 11.7, 3.7, 6.4, 
##     4.3, 6.6, 14.2, 6.7, 10.2, 8.4, 10.5, 5.3, 13.6, 10.2, 9, 
##     6.8, 5.9, 5.7, 9.3, 10.1, 0, 9.3, 8.5, 7.4, 7.9, 9.8, 12.3, 
##     11.7, 8.1, 8.4, 12.3, 10.6, 12.9, 15, 6.5, 5, 8.3, 9.7, 7.2, 
##     13.7, 9.3, 13.8, 11.8, 8.8, 11.1, 5, 8.5, 13.2, 14.4, 8.7, 
##     9.2, 11, 13.4, 9.6, 11.6, 15.7, 8.8, 11.4, 7.3, 10.9, 6.3, 
##     8.9, 8.4, 12.3, 14.2, 13.4, 9.3, 9, 10.2, 5.3, 12, 15.1, 
##     9.6, 5.4, 12.9, 10.9, 12, 11.1, 9, 12.4, 12.7, 5.7, 10.1, 
##     8.3, 12.2, 13.3, 14, 12.8, 10.2, 11.9, 3.4, 12.4, 11.6, 6.6, 
##     11.8, 9.6, 12.3, 8.8, 7.2, 5.3, 12.7, 12.8, 10, 11.6, 9.4, 
##     11.6, 7.7, 10, 8.6, 6.3, 10.9, 7.9, 4.7, 8.2, 11.3, 10.7, 
##     11.8, 11.2, 11.3, 6.6, 9.3, 9, 14.4, 10.2, 16.8, 8.4, 11.3, 
##     11.5, 11, 8.7, 10.5, 10.5, 10.2, 13, 12.6, 14.4, 5.8, 1.3, 
##     10.6, 10.7, 7.2, 11, 13.5, 9.8, 8.8, 6.7, 13.7, 9.8, 8.5, 
##     4.8, 4.9, 11.1, 7.5, 9.1, 9.5, 7.9, 10, 7, 9.9, 11.8, 9.5, 
##     11.1, 13.6, 8.6, 14, 10.9, 11.9, 13.2, 11.5, 5.6, 13.9, 11.4, 
##     13.9, 10, 13.5, 5.6, 9.2, 10.8, 5.1, 13.5, 9.6, 10.9, 11.3, 
##     10.4, 8.4, 2.2, 11.8, 10.8, 4.2, 8.4, 8, 7.1, 5.6, 11.4, 
##     8.6, 10.4, 4, 10.3, 0, 10.3, 13.9, 11.3, 6.6, 10.4, 12.1, 
##     13.4, 7.6, 7.5, 10.7, 8.9, 10.5, 11.1, 12.6, 9.5, 9.6, 6.8, 
##     5.7, 11.8, 6.7, 10.4, 12.8, 7.7, 10.2, 10.4, 9.4, 10.1, 8, 
##     5.5, 11, 10.2, 10.9, 12.1, 7.1, 16.8, 18.7, 9.8, 9.9, 7, 
##     8.9, 9.9, 7.1, 11.8, 5.9, 7.3, 12, 12.2, 12.1, 6.1, 12.1, 
##     14.4, 11.8, 12.1, 8.9, 11.9, 8.3, 10.4, 10.2, 6.1, 12.1, 
##     8.4, 7.9, 9.6, 16.1, 10.1, 6.9, 9.7, 16, 6.8, 13.3, 13.8, 
##     9.2, 7.8, 11.8, 12.6, 9.3, 15.8, 10.9, 6.6, 11.5, 7.8, 8.9, 
##     11.2, 11.2, 14.3, 10.1, 10.4, 9.2, 11, 9.4, 10.7, 10.8, 8.9, 
##     15.3, 4.6, 10.5, 9.3, 7.1, 10.2, 13, 10.8, 9.1, 0, 10, 11.8, 
##     9.5, 12.5, 11.4, 11.1, 3.5, 9.5, 12, 9.2, 9.6, 10.4, 12.8, 
##     12.5, 6.1, 9.7, 9.1, 9.3, 9.8, 13, 11.7, 12.6, 8.8, 11.1, 
##     15.8, 9.7, 10.1, 12.1, 8.5, 10, 8.4, 9.1, 16.5, 12.6, 11.8, 
##     14.8, 6.6, 8.8, 9.9, 15.4, 5.6, 11, 7.6, 12.3, 4.5, 9.2, 
##     7.2, 12.9, 13.4, 8.5, 12.7, 11.9, 9.4, 7.8, 8.6, 10.2, 10.8, 
##     7.6, 11.5, 6, 7.1, 12.3, 9, 13.1, 9.2, 12.7, 10.7, 11.9, 
##     13.5, 12.3, 11.2, 8.6, 15.2, 5.1, 9.2, 11.2, 12.9, 5.6, 9.8, 
##     9.5, 5.5, 10.4, 13.2, 13.5, 6.4, 13.4, 10.3, 10.6, 15.3, 
##     9.2, 11.4, 11.6, 12.4, 11.9, 11.7, 7.8, 13.5, 7.8, 6.5, 12, 
##     13, 5.8, 12.3, 9.8, 5.9, 10.6, 16.6, 14.6, 11.8, 6.7, 7.2, 
##     9.5, 5.1, 11.6, 11, 12.3, 8.3, 10.1, 15, 14.1, 10.7, 10.6, 
##     7.9, 5.4, 10.4, 8.6, 7.3, 8.9, 13.2, 11.4, 8.6, 7.4, 13.7, 
##     9, 15.7, 11.2, 8.2, 10.8, 12.5, 6, 11.6, 7.5, 10, 12.7, 17.3, 
##     12.2, 7, 11.2, 7.3, 9.9, 14.9, 9.9, 8.6, 9, 6.5, 11.4, 11.1, 
##     6.8, 12.3, 11, 11.5, 11.2, 14.8, 10.5, 6, 7.5, 11.9, 12.9, 
##     10.3, 8.3, 8.8, 12.1, 13.7, 13.2, 10.6, 8.6, 10.4, 10.7, 
##     12.7, 10.3, 13.4, 14.6, 13.7, 8.1, 11.6, 13.3, 14.6, 11.1, 
##     5.7, 8.8, 9.6, 11.8, 8.4, 8.7, 11.2, 10.7, 11.5, 8.7, 12.3, 
##     12.6, 10.9, 8.3, 9.1, 7.8, 8.3, 5.9, 10.5, 11.4, 12.5, 11.8, 
##     15.2, 7.1, 13.3, 11, 13.6, 14.5, 8.5, 8.5, 15.6, 11.7, 8.2, 
##     13.7, 7.5, 0, 10.1, 7.4, 11.9, 11.7, 11.1, 11.5, 11.9, 10.6, 
##     10.9, 11.4, 9.8, 12.8, 9.4, 9.3, 10, 12.3, 8, 7.2, 10.6, 
##     5.8, 14.6, 11.9, 10.5, 12.4, 13.8, 15.1, 12.7, 12.1, 13, 
##     15.1, 6.6, 10.5, 9, 8, 11.2, 10.2, 11.8, 4.7, 10.9, 11, 12.3, 
##     9.7, 7.9, 9, 11.4, 10.8, 8.4, 8, 8.9, 14.2, 9.4, 10.6, 13.8, 
##     10.4, 12.2, 8.2, 9, 9.5, 14.9, 11.3, 13.3, 13, 13.2, 12.1, 
##     5.6, 11.9, 12.3, 8.1, 9.3, 14, 7.7, 11.3, 11.9, 9.9, 12.8, 
##     13.8, 9, 12.3, 11.2, 4.4, 12.5, 10.7, 11.4, 11.6, 12.6, 11.5, 
##     8, 12, 10.1, 8.4, 6.2, 11.4, 11, 11.8, 15, 13.9, 9.1, 11.4, 
##     5.8, 15.6, 5.9, 7.8, 10.7, 9.8, 6.5, 8.1, 9.4, 12.9, 7.6, 
##     8.3, 10.8, 12, 10.2, 11.3, 10.6, 10.7, 9, 7.7, 11.3, 9.8, 
##     10.7, 12.4, 13.4, 13.8, 11.5, 15, 9.4, 12.6, 9, 15, 12.6, 
##     12.8, 10, 12.7, 11.1, 7.7, 7.4, 12.1, 8.1, 9.2, 12.5, 10.2, 
##     9.6, 11.9, 11.9, 5.6, 6.7, 11.4, 10.1, 11.1, 11.3, 10.9, 
##     12.7, 10.3, 11.8, 6.4, 8.8, 9.7, 14.3, 10.8, 8.7, 11.2, 10.2, 
##     9.7, 10.8, 8.2, 9.1, 13, 7.8, 14.6, 11.6, 8.2, 13.9, 6.1, 
##     12.1, 10.6, 9.1, 11.8, 10.9, 6.7, 8.2, 9.7, 10.3, 9.7, 9.1, 
##     6, 9.4, 10.3, 11, 6.6, 12.5, 12, 9.8, 10.6, 10.2, 12.4, 9.9, 
##     8.8, 10, 11.7, 7, 7.6, 11.1, 11.6, 16.1, 6.7, 11.3, 11.7, 
##     12.3, 9.3, 11.9, 8.5, 8.3, 5.5, 7.1, 13.8, 10.2, 12.8, 9.5, 
##     12.6, 0, 7.8, 0, 11.9, 14.9, 7.5, 9.9, 7.5, 8.6, 6.3, 8.6, 
##     7, 12.4, 8, 10.7, 4.7, 9.6, 7.1, 7.4, 9.1, 9, 12, 8, 10, 
##     11.4, 7.6, 11.4, 12.4, 11.8, 10.1, 11.8, 13.9, 7.7, 10.9, 
##     10.5, 14, 10.1, 12, 7.7, 7.1, 11.3, 7.2, 10.1, 12.7, 11.3, 
##     7.7, 12.8, 9.6, 13.8, 7.4, 7.5, 14.5, 8, 13.6, 11.1, 13.2, 
##     11.4, 10.6, 9.6, 11.3, 10.1, 10.5, 11.6, 7.5, 6.9, 8.7, 8.9, 
##     10.6, 8.9, 11.5, 13, 10.9, 15.9, 8.1, 10.6, 9.7, 10.7, 6.8, 
##     7.7, 9.9, 8.6, 8.8, 9, 7.4, 11.1, 13, 8.1, 7.8, 10.8, 10.4, 
##     9.9, 13.6, 13, 12.2, 7.6, 11.6, 11.8, 8.9, 13.1, 15.1, 10.3, 
##     11.2, 10.2, 8.6, 9.9, 13.6, 10.3, 6.4, 16.3, 11.5, 11.1, 
##     12.8, 11.3, 11.6, 10.7, 14.8, 14.2, 10.8, 14.1, 10.5, 9.6, 
##     4.5, 11.5, 9.7, 7.3, 5.9, 10.4, 15.3, 6.9, 12, 9.5, 10.2, 
##     8.9, 11.5, 8.7, 7.8, 10.6, 10.9, 13.3, 12.4, 6.5, 9.8, 8.8, 
##     8.9, 9.7, 5.4, 12.3, 13.5, 14.7, 6.1, 11.8, 15.5, 13.1, 12.3, 
##     8.6, 12.9, 12.9, 8.5, 10.1, 11.7, 13.7, 6.6, 6.1, 8.8, 6, 
##     7.2, 9.4, 10.1, 10.3, 7, 12.5, 10.2, 8.6, 10.2, 10.9, 12.9, 
##     10.9, 8.2, 12.8, 11.8, 7.5, 13.2, 12.4, 9.8, 12.7, 11.1, 
##     12, 13.4, 7.7, 11.8, 13.7, 6.6, 11.3, 11.4, 9.9, 10.4, 8.1, 
##     8.4, 12.1, 5.5, 9.6, 12, 12.2, 11.1, 10.5, 10.3, 5.7, 15, 
##     8.5, 10.7, 10, 13.4, 12.4, 9.7, 11.9, 9, 10.5, 18.9, 11.1, 
##     10.5, 10.8, 5.6, 7.7, 7.1, 9.3, 5.9, 14.4, 12.1, 15.8, 13.2, 
##     9.5, 11.3, 9, 9.9, 9.6, 12, 7.6, 8.6, 11, 4.9, 14, 15.1, 
##     6.9, 6.6, 13.1, 13.1, 6.5, 9.5, 10.6, 7.8, 10, 11.3, 6, 7.2, 
##     11.2, 9.2, 12.8, 10.3, 14.6, 12.2, 13.9, 7.4, 7.8, 10, 9.8, 
##     9.6, 10, 11.7, 7.6, 11.6, 7.1, 12.8, 8.8, 10.3, 14, 6.7, 
##     9.5, 8.8, 8.5, 9.7, 3.5, 7.8, 9.7, 12.1, 9.6, 13.5, 9.1, 
##     9.8, 11.3, 12.7, 11.3, 8.2, 10.8, 6.8, 6.3, 11.3, 9.9, 9.6, 
##     6.9, 6.7, 10, 12.4, 4.7, 13.1, 11.1, 12, 8.5, 6.1, 9.2, 6.3, 
##     8.4, 10.9, 14.9, 13.5, 9.4, 7, 7.3, 8.5, 8.1, 11.2, 11.7, 
##     11.4, 13.5, 14.7, 9.7, 14.3, 10.2, 10.6, 11, 10.1, 10.2, 
##     11.1, 10.3, 8.9, 15.4, 11.6, 7.8, 11.1, 15.8, 11.1, 6.8, 
##     10.9, 1.1, 8.8, 7.4, 11.8, 10.2, 7.2, 3.3, 8.7, 16.1, 10.3, 
##     9.8, 10.4, 8.4, 8.3, 10, 10.1, 8.3, 6.9, 15.5, 9, 3.8, 9.8, 
##     11.3, 11.6, 9.9, 13.8, 11.3, 8.9, 9.7, 9.8, 8.5, 10.7, 9.1, 
##     13.9, 7.3, 11.2, 12.7, 10.3, 8, 6.4, 6.4, 12.2, 10, 11.1, 
##     13, 11.6, 9.2, 14.8, 7.6, 12.4, 11.9, 9.6, 10.8, 7.6, 9.7, 
##     10.3, 7.8, 9.1, 10.7, 5.8, 10.2, 10.9, 9.7, 7.7, 10.1, 10.8, 
##     13.4, 5.4, 11.3, 7.4, 5, 9, 9.5, 13.8, 14.7, 13.7, 8.7, 10.6, 
##     9.1, 12.5, 6.6, 13.8, 5.5, 9.5, 6.5, 19.3, 9.9, 9.8, 9.8, 
##     7.8, 10.6, 9.5, 14.4, 8.4, 14.6, 7.1, 7.3, 11.6, 12.6, 10, 
##     15, 11.5, 12.6, 5.1, 11.5, 13.7, 13.2, 14, 9.3, 13.9, 11.4, 
##     13.2, 3.7, 11.5, 11.8, 14.3, 10, 2, 13.2, 7.8, 11.4, 8.8, 
##     7.8, 13.6, 11.5, 7.5, 13, 11.1, 9.7, 9.7, 11.7, 15.9, 11.1, 
##     11, 4.2, 7.3, 11.6, 12.4, 10, 11.2, 12.4, 11.4, 10.8, 12.8, 
##     7.3, 9.4, 11, 9, 14.6, 7.7, 6.9, 13.3, 9.8, 4, 6.9, 8, 7, 
##     8.4, 7.6, 8.4, 8.9, 7.5, 7.2, 13.5, 10.4, 10.5, 5.7, 13.1, 
##     17.5, 12.9, 6.2, 9.6, 10.4, 12.8, 3.7, 8.5, 11.2, 11.3, 15.1, 
##     9.6, 11.2, 9.6, 13.2, 9.4, 7.9, 13.2, 11, 13.7, 12.9, 5.3, 
##     15.4, 14.2, 6.8, 7.8, 10.3, 11.5, 9.2, 7.5, 12.3, 8.3, 13.4, 
##     15.2, 11.5, 7.8, 12.8, 8, 6.4, 0, 8.2, 13, 14.5, 5.4, 10.2, 
##     11.5, 11.2, 5.5, 3.9, 5.4, 7.8, 14.7, 10, 10, 8.4, 19.7, 
##     7.9, 7.5, 14.2, 11.5, 10, 5, 11.5, 10.8, 6.5, 7.1, 7.6, 11.8, 
##     15.1, 10.3, 10.6, 14.7, 7.5, 12.6, 9.1, 10.2, 10.4, 12.7, 
##     13.8, 9.8, 5.2, 9, 8.4, 10.7, 12.2, 7.5, 12.5, 9.2, 15.5, 
##     6.4, 8.8, 6.4, 12, 9.9, 11.3, 13.1, 12.4, 13.5, 9.3, 13.2, 
##     9.1, 12.7, 7.5, 9.9, 11.2, 11.3, 8.4, 8.1, 6.8, 10.3, 10.1, 
##     7, 7.9, 9.4, 11.6, 11.9, 13.7, 10.4, 16.5, 12.1, 13.2, 10.9, 
##     10.3, 11.9, 11.3, 10.4, 9.5, 5.3, 13.2, 6.9, 8.9, 9, 9.7, 
##     12.7, 17.5, 6.8, 13.9, 11, 7.8, 8.3, 10.8, 10.4, 7.8, 6.4, 
##     12.9, 12.5, 9.3, 13.3, 9.9, 5.9, 12.3, 9.8, 10.2, 10.4, 11, 
##     12.3, 10, 10.8, 13.1, 11.6, 12.1, 8.8, 14.6, 12.6, 12.2, 
##     9.9, 11.4, 8.5, 6.5, 6, 10.9, 8.8, 6.1, 7.8, 7.1, 7.6, 11.8, 
##     8.5, 16.6, 12.9, 11, 13.1, 10, 6.9, 12.6, 8, 9.8, 7.2, 14.6, 
##     11.8, 5.9, 12.9, 9, 7.5, 8.9, 8, 13.3, 6.1, 9, 9.3, 0.4, 
##     8.3, 8.3, 10.1, 11, 12.7, 6.3, 13.7, 12.8, 6.8, 11, 11.5, 
##     9.9, 8.6, 11.9, 15.6, 10, 9.4, 12.3, 14.7, 9.8, 9.4, 7.4, 
##     10.9, 12.7, 11.5, 12.6, 6.7, 8.6, 10.3, 13.4, 6, 14.8, 10.9, 
##     13.2, 8.6, 12.3, 5.9, 14.1, 14.8, 10.6, 14.2, 8, 11.3, 16.5, 
##     8.6, 6.4, 9.5, 12, 9.9, 12.1, 11.6, 7.9, 12, 7.4, 11.1, 10.3, 
##     8.5, 9.6, 10.6, 5.6, 11.3, 5.6, 8.7, 10, 14, 9.4, 8.7, 14.7, 
##     3.8, 14.6, 10, 7.4, 5, 9.8, 10.2, 12.4, 7, 12.7, 12.7, 11, 
##     6.3, 9.6, 10, 9.5, 8.2, 10.8, 9.5, 8.8, 10.2, 9.2, 12.1, 
##     14, 11.2, 5, 11.3, 9.9, 12, 10.9, 10.8, 11.5, 5.5, 10, 11.2, 
##     12.8, 12.2, 10.7, 4.4, 8.5, 2.7, 10.3, 14.2, 5.6, 9.7, 12.4, 
##     10.9, 8.2, 7.9, 12.6, 8.3, 9.5, 7.1, 13.3, 8.9, 9.3, 3.3, 
##     2.6, 9.2, 11.2, 11.1, 10.8, 15.3, 13.1, 12.2, 9.9, 9.6, 10.6, 
##     7.1, 9.8, 13.2, 11.5, 11.9, 8, 10.1, 14.2, 8.3, 5.9, 15.1, 
##     8.7, 15.3, 8.7, 9.7, 8.3, 8.9, 13.4, 11.6, 13.8, 11.4, 9.1, 
##     14.2, 9.8, 7.1, 9.8, 11.5, 13.7, 11.2, 9.9, 9.2, 10, 7.9, 
##     9.5, 7.7, 8.9, 8.4, 15.2, 6.3, 9.2, 5.9, 15.9, 10.3, 10.5, 
##     10.3, 10.1, 7.5, 10, 4.8, 8.6, 14.8, 12.8, 7.7, 8.3, 11.3, 
##     11.7, 14.9, 10.1, 11.2, 10.9, 12.9, 11.5, 8, 10.9, 12.6, 
##     11.4, 8, 6.3, 11.7, 11.2, 9.1, 11.7, 10.1, 6.4, 15.6, 11.8, 
##     14.2, 11.3, 13.5, 10.9, 9.1, 7.7, 10.5, 10.3, 12.3, 10.7, 
##     7.5, 7.2, 14, 10.2, 14.3, 6.5, 11.8, 11.2, 7.8, 11.3, 11.4, 
##     14.6, 13.3, 12, 10.9, 9.5, 12.2, 7.3, 8.6, 8.6, 11.6, 13.6, 
##     12, 10.3, 11.1, 18.3, 10.9, 10.9, 6.5, 9.5, 8.9, 6.7, 8.8, 
##     9.7, 14.1, 8.4, 7.3, 8.9, 11.4, 7.2, 9.2, 8.2, 12.2, 12.3, 
##     11.1, 10.2, 6.4, 16.4, 9.9, 14.4, 11, 4.6, 11.6, 12.3, 11.3, 
##     9, 11.4, 12.9, 10.2, 9.6, 11.6, 12.8, 12.9, 8.2, 9.3, 13.3, 
##     9, 10.8, 9.2, 13.2, 10.5, 12.9, 10.9, 11.1, 9.3, 10, 8.5, 
##     13.4, 10.9, 8.9, 15.7, 7, 12.8, 11.5, 10.7, 11, 10.5, 8.8, 
##     9.2, 13.9, 11.1, 15.3, 13, 9.6, 9.7, 11, 9.8, 10.7, 13.9, 
##     11.2, 11.7, 13, 10.3, 7.2, 8.5, 5.5, 7.7, 18, 10.7, 10, 7, 
##     6.9, 10.4, 10.5, 8.1, 14.9, 11.4, 11.3, 7.5, 9.4, 8.4, 13.3, 
##     8.6, 9.5, 12.7, 9.8, 9.1, 10.5, 12.5, 8.5, 10.1, 11.1, 10.3, 
##     8, 5.9, 10.4, 4.7, 6.8, 6.3, 11.9, 13.4, 9.4, 8.1, 12.6, 
##     13.3, 13.3, 13.5, 10.1, 14, 9.6, 10.1, 7.8, 10.8, 9, 10.1, 
##     10.3, 10.2, 10.5, 5.8, 7.3, 6.8, 12.2, 14.2, 8.8, 10.8, 13.9, 
##     10.6, 14, 12.3, 6.9, 8.2, 10, 11.6, 8.5, 12.6, 7.3, 8, 9.8, 
##     4.5, 11.8, 6.6, 5.3, 16.9, 12.3, 7.2, 9.2, 9.9, 8.5, 11.7, 
##     11.3, 10, 8.8, 10.5, 7, 12.6, 5.5, 13, 7.3, 9.7, 10.8, 9.3, 
##     10.1, 9.8, 13.2, 12.6, 8.9, 9, 4.5, 10.1, 6.1, 8.5, 4.1, 
##     6.8, 13, 14.2, 2.5, 12.7, 11.7, 12.6, 10.4, 11.1, 12.4, 12.2, 
##     8.6, 7, 10.2, 4.9, 11.1, 10.5, 10.2, 7.1, 12.9, 12.1, 8.8, 
##     5.8, 14.3, 17.5, 14, 6.9, 9.3, 4.6, 5.4, 15.2, 11.8, 8.1, 
##     9.8, 8.7, 10.3, 6.6, 8.3, 10.2, 9, 11.2, 8.8, 15.6, 8.6, 
##     14.3, 14.2, 11.2, 11.7, 12, 6.2, 11.3, 9.7, 11.5, 9.4, 11.8, 
##     11.6, 12, 11.4, 11.7, 13.4, 7.1, 9.9, 8.8, 7.2, 7.7, 13.2, 
##     10.8, 8.4, 14.7, 12.1, 13.3, 9.7, 6.7, 6.1, 14.8, 12.5, 13.3, 
##     9.7, 11.6, 5.6, 7.2, 10, 12.3, 13.6, 6, 6.3, 15.4, 9, 10.7, 
##     10.1, 10.1, 9.7, 11.4, 7.1, 10.9, 0, 7, 8.8, 11.1, 12, 10.4, 
##     12.8, 9.4, 12.3, 10.5, 7.4, 9.1, 9.8, 11.1, 11.2, 9.7, 9.2, 
##     9.9, 6.5, 13.8, 13.5, 9.7, 5.6, 12.1, 10.7, 9.1, 11.3, 14.5, 
##     8.9, 7.9, 8.6, 12, 7.5, 14.1, 9.9, 9.3, 11.3, 10.5, 7.2, 
##     11.3, 8.7, 11.4, 10, 12.9, 8, 16.3, 12.6, 12.3, 13, 11.5, 
##     12.8, 9.1, 9.4, 11.2, 10.3, 6.7, 8.5, 6.6, 14.9, 10.1, 9.1, 
##     8.6, 9.5, 12.5, 9.4, 12.2, 9.3, 16.4, 9.9, 7.8, 12, 8.5, 
##     11, 11.5, 6.6, 0, 11, 9.8, 9.4, 11.1, 11.3, 14, 7.8, 11.2, 
##     9.5, 3.8, 8, 6.7, 10.1, 5.6, 11.4, 15.4, 12.9, 7.2, 8, 12, 
##     9.6, 4.6, 12.4, 11.4, 10.7, 11.6, 8.7, 8.6, 9.7, 6, 11.5, 
##     10, 7.8, 8.4, 8.5, 6.2, 11.5, 11.1, 13.7, 8.9, 12.4, 12.6, 
##     10.3, 10.2, 14.7, 4.5, 12.1, 11, 9.1, 12.3, 13.1, 12.7, 9.6, 
##     7.2, 6.8, 13, 10.9, 11, 10.6, 7.2, 7.5, 14.2, 5.4, 11, 11.1, 
##     5.7, 9.8, 13.3, 9.7, 9.1, 11.1, 13.2, 9.7, 10.2, 10.4, 13.6, 
##     9.1, 10.1, 8.6, 5.8, 8.5, 11.3, 12.9, 9.8, 6.1, 8.3, 8.7, 
##     5.9, 9.7, 9.5, 14.1, 7.1, 17.6, 11.5, 16.1, 8.7, 9, 13.7, 
##     11.5, 9.2, 8.4, 6.3, 14.5, 12.1, 8.9, 8.6, 10.1, 10.4, 9.2, 
##     6.2, 7.3, 15, 11.6, 11.3, 13.2, 9.7, 9.4, 9.2, 6.9, 9.7, 
##     10.3, 2, 8.9, 10.9, 11.7, 15.5, 11.3, 5.4, 15.2, 10.1, 12, 
##     14.3, 8.7, 13.9, 7.3, 10.1, 5.9, 12.2, 13, 8.9, 12.2, 10.9, 
##     10.2, 10.7, 4.2, 10.8, 9.3, 9.3, 11.2, 9.8, 5.5, 10, 9.1, 
##     7.8, 11.7, 13.8, 9.9, 11.8, 10.1, 14.2, 10, 8.3, 9.9, 9.6, 
##     10.9, 4.3, 11, 9.6, 11, 11.6, 12, 13.5, 17.2, 11.5, 13.1, 
##     9.8, 10.8, 8.8, 10.8, 4, 13, 11.3, 11.4, 11.7, 9.8, 13.8, 
##     5.6, 6.8, 11.9, 15.5, 8, 12.7, 10.2, 11.8, 10.7, 9.2, 7.7, 
##     9.4, 15.4, 5.8, 13.2, 8.3, 12.1, 8.1, 17.1, 14.7, 9.6, 9.2, 
##     4.5, 12.2, 8.4, 10.9, 11.6, 10.5, 10.2, 10.1, 8.8, 7.5, 11.4, 
##     10.5, 11.6, 9.5, 8.8, 10.5, 16.5, 10.8, 13.4, 12.3, 11, 8.9, 
##     8, 9.2, 14.2, 11, 13.6, 6.8, 8.1, 10.6, 14.3, 9.9, 8.5, 10, 
##     13.6, 6.6, 15, 14.6, 7.3, 10.6, 7.7, 14.7, 9.6, 12.4, 7.8, 
##     13.4, 10.2, 9, 11.8, 10.1, 9.8, 8.6, 15.6, 11.9, 5.4, 9.9, 
##     11.4, 13.3, 8.7, 12.5, 8.1, 12.6, 10.1, 12.8, 7.5, 9.5, 11.9, 
##     5.3, 12.6, 8.9, 11.2, 11.3, 7.8, 9.7, 4.4, 5.1, 12.9, 9.5, 
##     17, 9.1, 6.1, 12.2, 10.9, 10.9, 9.1, 8.3, 10.2, 7.8, 6.2, 
##     13.4, 6.3, 5.2, 9.5, 0, 13.3, 12.6, 11.1, 8.4, 10.2, 9.8, 
##     8.3, 6.4, 11.3, 12.4, 11.9, 9.5, 9.7, 10.7, 5.5, 11.5, 7.1, 
##     6.4, 6.2, 12.6, 10, 11.3, 10.2, 10.7, 8.6, 5.8, 7.9, 14, 
##     8.1, 13.4, 11.5, 11.7, 12.9, 7.9, 7.7, 12.4, 11.5, 9, 12.1, 
##     12.7, 8.3, 9, 11.2, 10.2, 8.2, 10.6, 10.5, 11.7, 7.6, 13.1, 
##     15.6, 13.3, 10.5, 10.4, 13, 8.6, 16.8, 12, 9.4, 9.1, 5.1, 
##     10.9, 9.7, 10, 11.4, 9.7, 18, 11.8, 6.5, 12.2, 9.3, 13.5, 
##     12.3, 8.4, 8.3, 7.7, 8.2, 12, 7.8, 8.3, 12.1, 14.1, 9, 0, 
##     11.9, 16.7, 11.1, 10.3, 12.6, 17, 8.9, 12.1, 10.6, 11.7, 
##     9.1, 11.8, 8.7, 14.5, 9.9, 8.8, 10.7, 12.8, 10.5, 5.9, 8.8, 
##     15, 10.4, 13.7, 9.8, 18.5, 9.5, 6.5, 13.3, 14.4, 8.2, 9.7, 
##     9.7, 7.6, 8.5, 7.7, 10.1, 11.3, 9.9, 9.4, 8.6, 10.4, 7.8, 
##     5.7, 12.5, 9.8, 11.7, 10.7, 10.1, 9.7, 14.6, 11.2, 14, 10.5, 
##     12.9, 16.3, 10.7, 13.3, 11.6, 9.8, 6.6, 8.3, 13.2, 5.9, 7, 
##     13.7, 9.6, 13.1, 12.9, 8.3, 11.8, 8, 16.9, 13, 13.1, 11.1, 
##     12.9, 8.3, 10.7, 8.2, 9.5, 14.4, 14.3, 14.4, 12.7, 7.7, 10, 
##     10.4, 4.8, 6.9, 12.4, 12.9, 10.1, 14.8, 12, 7.8, 15.1, 9.3, 
##     11.6, 9.9, 9.3, 11.3, 12.2, 9.6, 8.7, 7.9, 8.4, 10.6, 14.5, 
##     13.1, 10.8, 12.5, 11.9, 6.2, 10.1, 9.9, 14.1, 14.1, 8.7, 
##     13.3, 6.3, 14.1, 9.1, 9.2, 11.7, 9.6, 8.6, 7.5, 12.6, 8.5, 
##     12.9, 8.2, 14, 12.4, 9.2, 9.4, 12.7, 10.6, 12.1, 15.7, 13.8, 
##     9.2, 5.7, 8.4, 12.4, 12.4, 12.8, 10.7, 10.2, 9.2, 9.5, 11.1, 
##     2.2, 5.7, 14.7, 14.7, 12.4, 9.9, 6.8, 9.6, 11, 10, 11.2, 
##     12, 9.8, 12.2, 10.9, 8.3, 7.9, 10.7, 6.4, 10.4, 13.4, 11.6, 
##     13.3, 6.1, 6.9, 16.9, 10.2, 8.4, 6, 4.2, 10.6, 14.2, 8.5, 
##     4.8, 12.4, 7.4, 10.9, 13, 16.5, 13.5, 10.6, 12.4, 9.8, 9.2, 
##     11.6, 9, 13.2, 10.4, 7.9, 9.9, 7.4, 10.6, 5.2, 13, 15.6, 
##     8.7, 11.3, 12.2, 8.1, 12.8, 9.1, 16.2, 12.3, 14, 13.4, 14.6, 
##     12.8, 7.5, 13.3, 13.2, 14, 9.9, 12.1, 10.9, 11.3, 11.7, 9.5, 
##     11.9, 10.9, 11.4, 9.4, 11.6, 9.9, 14.4, 16, 7.8, 13.1, 11, 
##     6.7, 10.2, 13.9, 11.9, 4.3, 10.3, 6.9, 15.2, 10.9, 13.6, 
##     11.1, 9.2, 8.3, 9.6, 8.5, 11.4, 9.9, 14.9, 12.1, 12.9, 9.4, 
##     8.6, 9.5, 10.6, 10.5, 11.1, 10.3, 7.5, 13.3, 11.8, 13.4, 
##     12.4, 7.1, 12.2, 3.5, 8.9, 10.3, 7.6, 9.1, 6.7, 10.5, 13.8, 
##     9.9, 8.9, 8.3, 9.9, 11.5, 14.4, 10.4, 11.8, 14, 6.4, 6.2, 
##     8.4, 7.8, 9.8, 12.1, 12.3, 7.1, 8.7, 12.2, 10.7, 12.1, 9.1, 
##     9.8, 8.1, 12.3, 7.4, 7.8, 12, 11.6, 7.7, 7.2, 3.4, 12, 9.3, 
##     11.7, 7.6, 15.6, 11.9, 11, 5.5, 9.8, 14.4, 14.6, 7, 7.9, 
##     10.8, 16, 14.2, 12.1, 9.3, 11, 7.1, 9.2, 11.9, 10.5, 10.9, 
##     7.3, 12.5, 10.8, 10.4, 11.1, 14.1, 12.1, 10.1, 11.3, 9, 10.6, 
##     6.9, 8.5, 12, 9.5, 12.6, 10.5, 9.9, 9.4, 12, 8.3, 9, 16.2, 
##     6.6, 10.7, 11.9, 6.9, 16.6, 9.6, 5.1, 10.5, 10.2, 10.3, 9, 
##     15.1, 9.9, 13.2, 8.7, 12.3, 11, 15.4, 11.4, 12.7, 11.5, 13, 
##     8.9, 12.1, 7.7, 9.7, 10.7, 7.3, 10.4, 10.2, 10.4, 5.1, 12.5, 
##     7.9, 10.9, 12.6, 7.4, 6.5, 10.9, 7.6, 9.1, 10.7, 13, 12.9, 
##     11.5, 11.6, 12.6, 9.7, 13.2, 15.7, 11.6, 9.9, 7.6, 11.5, 
##     7.5, 12.7, 11.5, 11.1, 10.6, 6, 5.2, 9.3, 11.8, 11.3, 9.7, 
##     7.5, 10.8, 5.6, 7, 9.8, 12.2, 9.5, 4.9, 8.9, 7.5, 11, 16.1, 
##     10.8, 10.9, 7, 6.7, 6.7, 10.3, 13.7, 11.2, 7.2, 11.1, 8.8, 
##     9.8, 9, 6.9, 10.6, 9.4, 13.4, 5.6, 7.6, 11.2, 12.2, 10.6, 
##     9.3, 7.9, 9.8, 11.4, 13.3, 7, 12.6, 9.7, 7.9, 11.9, 6.4, 
##     8.9, 9.4, 4.9, 12.8, 12.1, 11.4, 0, 4.7, 10, 10.5, 8.7, 9.3, 
##     8.3, 5.8, 8.2, 10.4, 11.5, 9.3, 14.3, 10.6, 10.4, 13.8, 18.2, 
##     10.4, 13.3, 10.4, 12, 13.5, 10.5, 8.8, 10.8, 10.9, 9.4, 5.3, 
##     4.9, 13, 5.8, 11.5, 8.6, 14.7, 11.4, 11.7, 9.5, 11.1, 9.8, 
##     5.3, 12.9, 11.4, 12.1, 9.7, 9.9, 13.1, 11.7, 9.6, 9.6, 9.8, 
##     12.2, 18.2, 5.2, 11, 10.7, 11.2, 12.5, 7.2, 14.4, 7.5, 11.1, 
##     5, 4.2, 7.9, 10.8, 11.7, 9.3, 12.2, 11.1, 15.3, 2.4, 12.7, 
##     8.9, 14.1, 9.8, 8.8, 13.3, 12.2, 13.3, 8.2, 10.6, 11.9, 11.5, 
##     8.8, 8.9, 10.9, 9.3, 11.1, 9.7, 12, 10.6, 7.2, 9, 9.7, 12.9, 
##     13.1, 8.8, 6.8, 8.7, 9.7, 6.4, 10.4, 14.5, 10.2, 5.9, 7.8, 
##     6.4, 8, 9, 7.1, 7.5, 9.2, 11.7, 8.1, 8.5, 8.7, 9.2, 7.2, 
##     6.3, 11.9, 11.7, 12.9, 13, 10, 11.2, 7.7, 9, 8.3, 11.4, 10.7, 
##     13.9, 7.7, 9.5, 14.5, 9.3, 5.2, 10.9, 9.3, 12.1, 10.1, 12.3, 
##     13, 7.4, 9.5, 8, 11.5, 10, 8.7, 9.1, 14.7, 15, 12.2, 7.3, 
##     6.3, 7.8, 9.6, 11, 11.1, 7.1, 9.4, 8.5, 8, 9.1, 9, 10.9, 
##     8.4, 10.2, 12.7, 8.2, 9.5, 8.1, 3.1, 13.7, 11.8, 13.6, 10.8, 
##     14.4, 7.3, 9.5, 18, 10.9, 10.7, 14.7, 12.1, 14.1, 14.8, 11.7, 
##     12.6, 10.7, 3.9, 9.2, 7.9, 6.6, 10.6, 10.6, 14.1, 11.6, 4.6, 
##     13.2, 15.7, 8.2, 5.6, 7.1, 8.7, 14.1, 11, 11.8, 10.6, 9.5, 
##     13.3, 8.3, 6.6, 8.4, 11.8, 11.7, 7, 9.7, 13.5, 11.5, 13.8, 
##     11.6, 13.6, 10.4, 11.1, 11, 13.6, 10.4, 11.1, 10.8, 9, 14, 
##     8, 12, 9.1, 7.9, 7.2, 14.5, 11.3, 6.6, 4.4, 12, 12.1, 7.8, 
##     9.8, 9, 13.9, 15.4, 6.6, 13.1, 10.3, 11.2, 8.4, 11.2, 11.7, 
##     10.8, 7.5, 13.6, 11.4, 7.9, 11.2, 7.6, 7.1, 10.9, 12.4, 8.1, 
##     13.3, 9.9, 12.8, 9.2, 10.7, 11.7, 9.5, 9.4, 13.8, 9.2, 12.2, 
##     10.6, 12.7, 7.5, 10.4, 13.7, 13.6, 11.7, 13.2, 11.1, 7.8, 
##     10.3, 10.9, 10.3, 10.3, 15.1, 11.3, 14.4, 12.1, 10.5, 11.4, 
##     11.9, 11.2, 11.1, 12.2, 7.8, 5.2, 13.4, 11.2, 8.9, 15.5, 
##     9.3, 8.6, 0, 12.5, 4.6, 8.7, 14.3, 4.6, 13.5, 9.6, 11.8, 
##     10.6, 13.2, 9.5, 10.3, 12.5, 12.3, 12.4, 12.9, 11.4, 12.7, 
##     10.6, 8.1, 9.3, 11.4, 5.1, 11.3, 8.5, 7.2, 11.4, 8.2, 3.9, 
##     7.4, 8.9, 7.3, 14, 6.9, 17.8, 7.4, 13, 11.1, 4.1, 9.5, 14, 
##     20, 5.9, 11.6, 10.5, 11.6, 8.2, 10.3, 9.5, 10.5, 10.3, 9, 
##     6.8, 9.1, 9.4, 11.5, 8.4, 10.7, 9.2, 16.9, 13, 11.9, 6.4, 
##     10.6, 7.1, 9.8, 16, 14.7, 7.9, 14.1, 7.9, 9.1, 4.6, 8.6, 
##     12.2, 6, 7.2, 13.1, 10.4, 15.8, 5.6, 8.8, 9.7, 12.8, 8.1, 
##     14.1, 14.9, 10.1, 7.5, 8.9, 11.3, 12.1, 8.5, 6.4, 7.8, 7.2, 
##     11.2, 7.4, 10.4, 10, 11.9, 11.5, 12.4, 8, 9.1, 11.9, 11.1, 
##     7.6, 10.2, 10.1, 11.4, 12.6, 15.2, 10.2, 10.7, 10.3, 13.3, 
##     9.5, 8.3, 4.8, 8.2, 9, 8, 9.8, 12.9, 7.9, 9.9, 10.4, 13.8, 
##     7.6, 12.9, 13.3, 11.9, 7.7, 9.7, 11.6, 8.9, 4.7, 11.5, 9, 
##     5.7, 0, 12, 11.4, 2, 4.7, 0, 13.7, 7.7), c(2, 2, 6, 7, 4, 
##     5, 3, 5, 1, 3, 3, 4, 7, 5, 6, 4, 2, 3, 17, 3, 4, 6, 6, 5, 
##     3, 3, 4, 3, 3, 6, 3, 4, 6, 3, 0, 4, 9, 1, 3, 6, 1, 7, 4, 
##     5, 2, 2, 3, 3, 2, 3, 5, 2, 6, 9, 4, 4, 5, 3, 5, 4, 9, 6, 
##     3, 6, 6, 2, 8, 4, 3, 2, 3, 4, 2, 3, 4, 7, 3, 3, 4, 4, 7, 
##     4, 3, 7, 14, 4, 8, 2, 4, 5, 6, 6, 2, 0, 2, 3, 6, 4, 3, 8, 
##     4, 3, 4, 2, 8, 11, 5, 3, 9, 3, 3, 4, 3, 4, 4, 9, 3, 3, 2, 
##     5, 2, 2, 4, 4, 9, 7, 5, 1, 2, 4, 4, 4, 5, 2, 5, 4, 10, 5, 
##     3, 5, 4, 2, 9, 4, 3, 2, 1, 5, 6, 6, 7, 4, 2, 3, 6, 5, 4, 
##     3, 7, 5, 6, 4, 3, 4, 3, 6, 6, 5, 4, 8, 4, 3, 2, 4, 6, 2, 
##     6, 9, 4, 5, 5, 2, 4, 3, 5, 3, 5, 8, 3, 5, 4, 2, 7, 2, 4, 
##     2, 1, 5, 6, 16, 6, 5, 20, 8, 5, 7, 4, 3, 7, 5, 4, 5, 5, 4, 
##     1, 4, 16, 2, 6, 3, 3, 6, 4, 6, 3, 1, 3, 5, 4, 4, 5, 9, 2, 
##     3, 2, 5, 5, 4, 1, 5, 4, 4, 6, 6, 5, 3, 4, 4, 2, 2, 7, 2, 
##     2, 5, 5, 3, 5, 2, 3, 9, 6, 2, 5, 3, 5, 11, 6, 4, 4, 3, 2, 
##     3, 4, 10, 4, 3, 3, 6, 3, 6, 6, 2, 4, 6, 3, 4, 6, 0, 6, 7, 
##     5, 3, 1, 8, 6, 2, 10, 5, 4, 5, 4, 11, 3, 4, 7, 3, 5, 4, 12, 
##     3, 3, 1, 4, 4, 4, 2, 7, 8, 6, 3, 2, 2, 3, 3, 6, 2, 6, 1, 
##     3, 12, 18, 2, 10, 2, 4, 4, 9, 4, 5, 5, 2, 5, 11, 3, 4, 6, 
##     2, 7, 4, 6, 9, 6, 2, 1, 2, 6, 3, 2, 2, 5, 4, 1, 5, 3, 2, 
##     4, 3, 2, 3, 2, 5, 1, 1, 4, 3, 4, 6, 2, 5, 2, 10, 7, 6, 6, 
##     4, 3, 6, 1, 3, 6, 1, 2, 4, 5, 1, 3, 4, 3, 3, 6, 4, 2, 1, 
##     3, 1, 2, 6, 3, 4, 6, 5, 2, 3, 5, 3, 3, 4, 3, 3, 2, 2, 5, 
##     2, 6, 3, 9, 5, 3, 2, 3, 4, 9, 5, 5, 8, 4, 5, 3, 2, 3, 2, 
##     2, 7, 4, 3, 4, 1, 5, 3, 1, 3, 8, 4, 3, 4, 5, 4, 4, 8, 3, 
##     3, 4, 4, 4, 5, 1, 1, 2, 1, 3, 5, 6, 6, 3, 8, 7, 4, 3, 2, 
##     1, 10, 4, 4, 3, 6, 4, 4, 4, 3, 4, 4, 4, 9, 4, 2, 10, 5, 2, 
##     5, 10, 1, 5, 5, 2, 3, 8, 11, 6, 2, 5, 5, 5, 6, 5, 1, 2, 5, 
##     2, 4, 12, 4, 3, 3, 6, 3, 5, 3, 5, 3, 9, 5, 5, 4, 9, 4, 3, 
##     2, 7, 6, 3, 8, 8, 4, 7, 6, 8, 2, 3, 4, 4, 3, 2, 0, 2, 6, 
##     5, 3, 2, 3, 3, 3, 4, 7, 3, 6, 6, 18, 5, 5, 6, 5, 4, 3, 2, 
##     5, 2, 5, 4, 3, 0, 1, 4, 3, 3, 8, 3, 2, 3, 7, 4, 3, 2, 4, 
##     3, 4, 4, 6, 6, 9, 2, 9, 1, 13, 2, 9, 2, 6, 4, 3, 7, 6, 5, 
##     7, 9, 2, 1, 4, 4, 6, 2, 2, 2, 9, 5, 2, 1, 2, 4, 3, 3, 6, 
##     13, 6, 3, 10, 2, 6, 0, 2, 3, 6, 5, 7, 3, 4, 2, 3, 6, 5, 3, 
##     2, 4, 10, 4, 8, 3, 6, 2, 3, 4, 2, 4, 3, 10, 5, 12, 5, 4, 
##     4, 4, 9, 5, 2, 8, 6, 5, 2, 3, 5, 12, 5, 3, 7, 7, 3, 8, 3, 
##     3, 2, 4, 3, 2, 3, 2, 3, 3, 3, 6, 5, 3, 4, 3, 10, 3, 6, 5, 
##     4, 4, 2, 5, 7, 2, 2, 2, 5, 3, 3, 4, 4, 3, 5, 3, 3, 4, 5, 
##     4, 3, 5, 4, 8, 3, 3, 2, 1, 5, 3, 2, 2, 7, 3, 5, 7, 6, 7, 
##     7, 1, 6, 2, 2, 2, 3, 3, 1, 3, 6, 2, 3, 3, 4, 2, 5, 8, 2, 
##     6, 5, 5, 3, 5, 9, 5, 1, 3, 3, 3, 6, 8, 10, 3, 2, 3, 8, 8, 
##     6, 3, 10, 7, 4, 5, 3, 4, 3, 3, 8, 3, 4, 6, 6, 9, 3, 7, 2, 
##     4, 7, 4, 6, 1, 4, 3, 4, 2, 2, 5, 10, 2, 2, 0, 3, 3, 3, 3, 
##     3, 6, 6, 3, 7, 4, 4, 3, 4, 2, 6, 1, 3, 7, 2, 4, 9, 3, 4, 
##     1, 2, 9, 2, 13, 6, 6, 2, 2, 2, 7, 1, 7, 7, 6, 3, 1, 4, 7, 
##     4, 2, 5, 5, 2, 4, 4, 4, 7, 3, 2, 3, 2, 2, 2, 4, 2, 3, 3, 
##     6, 6, 4, 6, 2, 4, 2, 2, 3, 3, 4, 3, 3, 5, 10, 7, 3, 4, 5, 
##     3, 3, 4, 7, 3, 3, 16, 3, 7, 5, 8, 6, 1, 5, 4, 5, 8, 2, 3, 
##     7, 2, 3, 0, 4, 3, 5, 5, 4, 1, 3, 3, 5, 1, 7, 8, 7, 7, 6, 
##     4, 3, 3, 5, 5, 3, 7, 4, 4, 7, 7, 4, 3, 4, 3, 5, 4, 5, 8, 
##     5, 2, 6, 3, 7, 3, 5, 9, 4, 4, 3, 6, 8, 3, 1, 7, 1, 8, 3, 
##     2, 2, 5, 2, 3, 6, 1, 3, 4, 3, 6, 1, 6, 3, 5, 3, 7, 5, 1, 
##     4, 8, 5, 3, 5, 17, 5, 1, 3, 9, 11, 8, 2, 6, 5, 6, 5, 5, 1, 
##     3, 5, 1, 4, 6, 4, 4, 7, 4, 2, 3, 3, 6, 2, 3, 4, 6, 4, 3, 
##     6, 3, 6, 2, 5, 5, 2, 5, 1, 3, 3, 1, 5, 2, 2, 7, 3, 4, 3, 
##     6, 7, 10, 3, 1, 1, 5, 3, 9, 3, 2, 3, 5, 8, 5, 3, 2, 10, 1, 
##     2, 4, 4, 4, 4, 6, 6, 4, 4, 2, 4, 4, 7, 9, 4, 2, 3, 2, 6, 
##     2, 3, 7, 3, 10, 5, 2, 3, 3, 4, 4, 2, 3, 7, 4, 6, 5, 8, 9, 
##     8, 5, 7, 2, 7, 9, 2, 1, 5, 2, 7, 4, 1, 8, 2, 3, 8, 2, 3, 
##     6, 8, 2, 5, 7, 6, 5, 2, 3, 4, 3, 13, 5, 4, 3, 3, 8, 6, 0, 
##     6, 1, 6, 3, 3, 6, 1, 2, 5, 5, 4, 4, 5, 3, 6, 5, 4, 4, 4, 
##     3, 9, 11, 4, 6, 3, 4, 6, 4, 4, 11, 6, 2, 4, 4, 5, 6, 7, 4, 
##     9, 4, 6, 4, 1, 7, 4, 5, 3, 2, 4, 5, 6, 5, 5, 2, 2, 4, 2, 
##     3, 2, 4, 7, 4, 6, 9, 1, 3, 4, 3, 3, 6, 2, 2, 3, 2, 4, 2, 
##     13, 4, 3, 2, 5, 3, 10, 6, 2, 3, 2, 9, 5, 1, 4, 7, 5, 1, 4, 
##     2, 5, 4, 7, 4, 3, 3, 2, 5, 2, 7, 3, 4, 3, 3, 2, 6, 7, 5, 
##     3, 5, 7, 3, 3, 3, 5, 4, 1, 4, 5, 4, 4, 4, 3, 6, 3, 2, 1, 
##     7, 1, 6, 8, 2, 4, 7, 3, 1, 2, 6, 7, 6, 8, 3, 2, 2, 2, 3, 
##     3, 2, 1, 5, 2, 4, 3, 5, 3, 3, 5, 3, 1, 2, 2, 4, 5, 3, 3, 
##     5, 6, 3, 4, 4, 3, 4, 2, 6, 7, 4, 4, 2, 2, 3, 5, 6, 4, 1, 
##     5, 1, 5, 5, 2, 1, 7, 1, 5, 3, 6, 3, 5, 5, 8, 5, 5, 7, 1, 
##     2, 2, 2, 4, 5, 5, 3, 6, 3, 4, 6, 0, 4, 0, 1, 5, 16, 2, 2, 
##     9, 5, 2, 2, 4, 1, 2, 7, 4, 8, 4, 4, 6, 7, 1, 3, 2, 5, 7, 
##     4, 5, 5, 6, 4, 9, 7, 6, 6, 4, 6, 1, 3, 3, 4, 6, 4, 5, 2, 
##     3, 8, 3, 3, 5, 6, 7, 5, 1, 6, 3, 5, 3, 5, 2, 7, 3, 7, 4, 
##     2, 2, 5, 1, 3, 5, 1, 5, 3, 4, 6, 4, 7, 3, 5, 9, 6, 2, 3, 
##     4, 3, 9, 3, 3, 6, 6, 4, 6, 4, 5, 2, 5, 3, 3, 4, 2, 5, 2, 
##     6, 1, 3, 4, 3, 6, 5, 5, 6, 5, 8, 3, 6, 6, 6, 3, 10, 3, 13, 
##     7, 2, 14, 2, 4, 6, 7, 5, 2, 2, 5, 5, 4, 2, 7, 1, 5, 5, 4, 
##     3, 2, 4, 4, 1, 4, 6, 2, 3, 10, 7, 7, 1, 1, 3, 2, 2, 2, 2, 
##     5, 3, 5, 2, 7, 2, 8, 1, 7, 5, 2, 6, 18, 4, 5, 4, 4, 6, 4, 
##     7, 8, 3, 8, 6, 3, 2, 2, 4, 10, 8, 1, 4, 1, 5, 1, 2, 2, 4, 
##     3, 2, 13, 2, 4, 15, 1, 6, 9, 5, 5, 3, 2, 3, 7, 2, 7, 3, 4, 
##     2, 6, 5, 7, 4, 6, 3, 4, 6, 11, 5, 3, 1, 5, 10, 5, 7, 1, 5, 
##     2, 2, 3, 5, 4, 5, 11, 5, 4, 2, 1, 6, 6, 6, 2, 5, 1, 2, 10, 
##     3, 4, 5, 3, 4, 2, 3, 3, 4, 5, 3, 2, 2, 2, 2, 5, 3, 4, 5, 
##     1, 4, 4, 5, 4, 6, 6, 8, 3, 2, 4, 3, 2, 5, 4, 9, 4, 3, 16, 
##     3, 6, 4, 5, 2, 6, 5, 4, 7, 6, 4, 3, 8, 5, 1, 6, 2, 4, 3, 
##     5, 9, 3, 3, 4, 5, 2, 8, 4, 5, 2, 4, 1, 6, 2, 6, 2, 9, 4, 
##     2, 3, 6, 3, 2, 5, 3, 7, 8, 3, 4, 5, 3, 2, 5, 3, 3, 3, 5, 
##     4, 5, 1, 9, 9, 7, 1, 3, 2, 3, 3, 2, 9, 3, 3, 6, 5, 2, 2, 
##     5, 7, 6, 4, 14, 5, 11, 9, 5, 1, 2, 6, 6, 2, 5, 3, 6, 3, 2, 
##     4, 8, 3, 9, 4, 1, 5, 3, 3, 5, 4, 4, 2, 7, 4, 3, 3, 2, 9, 
##     7, 5, 3, 3, 1, 10, 3, 4, 3, 2, 8, 2, 7, 5, 5, 5, 4, 3, 2, 
##     4, 4, 3, 6, 10, 4, 3, 4, 3, 5, 5, 5, 4, 7, 3, 4, 9, 5, 9, 
##     4, 6, 3, 4, 2, 4, 2, 8, 3, 5, 3, 3, 9, 2, 7, 4, 6, 4, 7, 
##     10, 4, 4, 12, 2, 6, 4, 6, 6, 4, 6, 3, 4, 5, 3, 2, 5, 8, 4, 
##     2, 8, 5, 6, 4, 13, 6, 5, 2, 4, 2, 3, 5, 2, 12, 4, 11, 6, 
##     9, 2, 6, 2, 3, 3, 2, 4, 6, 5, 4, 3, 5, 7, 3, 3, 5, 2, 4, 
##     3, 5, 2, 4, 7, 2, 3, 4, 2, 6, 11, 4, 9, 4, 3, 4, 6, 2, 6, 
##     3, 4, 2, 3, 3, 1, 7, 3, 2, 3, 0, 6, 6, 8, 9, 11, 2, 3, 4, 
##     9, 5, 1, 1, 4, 8, 2, 2, 3, 4, 7, 4, 8, 3, 3, 16, 4, 1, 6, 
##     4, 6, 5, 2, 7, 3, 7, 6, 3, 3, 2, 1, 4, 4, 3, 3, 2, 3, 3, 
##     4, 6, 5, 6, 7, 3, 9, 3, 2, 8, 5, 9, 4, 2, 4, 9, 1, 1, 5, 
##     3, 3, 9, 1, 4, 5, 7, 3, 2, 6, 6, 3, 6, 4, 6, 3, 3, 2, 8, 
##     4, 7, 4, 4, 3, 11, 3, 4, 3, 7, 4, 3, 11, 4, 5, 5, 2, 3, 4, 
##     3, 2, 1, 6, 4, 3, 3, 2, 3, 3, 6, 5, 4, 5, 2, 5, 3, 4, 3, 
##     4, 2, 6, 1, 3, 7, 4, 3, 10, 6, 3, 5, 3, 1, 4, 6, 3, 3, 4, 
##     3, 8, 2, 5, 3, 2, 2, 7, 5, 4, 3, 5, 5, 4, 4, 5, 8, 5, 5, 
##     7, 4, 3, 4, 3, 2, 3, 6, 2, 3, 6, 2, 6, 5, 5, 7, 5, 3, 2, 
##     9, 4, 4, 3, 3, 5, 4, 3, 2, 4, 2, 3, 6, 3, 2, 4, 6, 2, 3, 
##     6, 7, 6, 4, 5, 3, 7, 3, 3, 1, 1, 4, 7, 5, 3, 4, 5, 6, 1, 
##     4, 6, 5, 7, 4, 2, 9, 4, 4, 4, 1, 2, 4, 2, 5, 4, 3, 5, 3, 
##     4, 3, 2, 1, 4, 12, 3, 3, 5, 2, 8, 3, 5, 2, 5, 9, 4, 6, 2, 
##     5, 3, 7, 3, 4, 3, 5, 7, 4, 5, 4, 5, 14, 6, 4, 9, 2, 4, 3, 
##     6, 3, 2, 1, 3, 4, 5, 9, 7, 7, 4, 5, 6, 5, 1, 7, 3, 4, 5, 
##     8, 4, 6, 6, 3, 7, 3, 3, 3, 2, 4, 6, 6, 2, 3, 6, 3, 3, 4, 
##     2, 4, 4, 2, 4, 2, 7, 3, 3, 5, 3, 7, 3, 5, 3, 7, 3, 7, 2, 
##     3, 5, 8, 1, 2, 6, 6, 6, 5, 2, 9, 5, 6, 2, 2, 4, 8, 2, 4, 
##     8, 2, 6, 4, 4, 1, 3, 3, 2, 4, 1, 5, 9, 6, 2, 2, 4, 2, 4, 
##     5, 1, 3, 10, 4, 3, 5, 5, 1, 7, 3, 2, 8, 4, 8, 2, 2, 5, 6, 
##     5, 5, 3, 2, 11, 7, 15, 3, 7, 2, 9, 4, 5, 5, 6, 3, 2, 4, 3, 
##     6, 6, 2, 7, 4, 6, 2, 2, 5, 3, 4, 4, 1, 3, 3, 9, 3, 5, 6, 
##     3, 4, 6, 5, 3, 3, 12, 3, 5, 6, 4, 3, 9, 4, 2, 7, 4, 7, 5, 
##     12, 3, 4, 3, 2, 2, 4, 5, 1, 6, 7, 4, 9, 1, 7, 4, 3, 5, 2, 
##     4, 6, 2, 8, 5, 6, 2, 2, 5, 5, 1, 4, 4, 2, 2, 14, 8, 4, 4, 
##     7, 18, 7, 6, 3, 2, 4, 2, 2, 10, 5, 4, 5, 6, 13, 4, 5, 12, 
##     3, 4, 10, 4, 4, 8, 2, 3, 4, 3, 2, 2, 7, 3, 3, 4, 1, 6, 6, 
##     3, 4, 8, 3, 3, 3, 5, 2, 2, 7, 5, 7, 5, 4, 5, 4, 2, 3, 6, 
##     2, 3, 3, 1, 6, 5, 2, 3, 4, 4, 6, 2, 5, 6, 5, 1, 4, 5, 3, 
##     1, 3, 6, 15, 2, 2, 5, 2, 2, 6, 4, 2, 5, 4, 5, 5, 4, 4, 5, 
##     5, 4, 2, 2, 4, 1, 4, 5, 2, 2, 10, 3, 9, 4, 3, 5, 8, 5, 4, 
##     6, 2, 5, 2, 4, 5, 2, 5, 2, 5, 4, 6, 3, 10, 2, 4, 2, 6, 3, 
##     2, 2, 6, 2, 5, 12, 3, 5, 4, 4, 4, 4, 10, 5, 5, 4, 8, 3, 3, 
##     6, 3, 5, 6, 1, 3, 4, 3, 4, 4, 10, 5, 7, 3, 5, 2, 4, 7, 3, 
##     3, 6, 9, 4, 5, 4, 3, 3, 4, 2, 5, 7, 1, 5, 4, 7, 2, 8, 6, 
##     5, 2, 5, 6, 3, 10, 5, 3, 4, 3, 6, 4, 4, 6, 4, 4, 2, 2, 0, 
##     1, 5, 5, 11, 15, 3, 4, 5, 6, 7, 6, 4, 2, 3, 8, 2, 5, 8, 7, 
##     2, 4, 4, 3, 2, 5, 5, 4, 6, 4, 3, 6, 2, 4, 2, 2, 7, 4, 2, 
##     3, 11, 6, 5, 3, 2, 3, 4, 2, 1, 10, 3, 4, 4, 5, 2, 8, 2, 3, 
##     2, 2, 10, 5, 3, 1, 6, 6, 4, 7, 9, 4, 7, 2, 4, 3, 8, 0, 2, 
##     6, 2, 6, 5, 6, 1, 2, 19, 10, 5, 3, 9, 3, 4, 7, 1, 5, 5, 4, 
##     3, 3, 9, 2, 2, 4, 3, 2, 4, 5, 6, 3, 2, 5, 6, 6, 3, 6, 4, 
##     3, 1, 5, 3, 4, 6, 4, 2, 4, 4, 2, 2, 8, 2, 4, 1, 5, 4, 3, 
##     2, 4, 5, 4, 7, 4, 3, 7, 7, 2, 4, 9, 2, 2, 2, 1, 2, 3, 4, 
##     5, 3, 4, 2, 2, 3, 4, 8, 6, 4, 4, 3, 2, 3, 2, 5, 4, 5, 7, 
##     1, 4, 1, 5, 5, 3, 4, 2, 2, 2, 3, 2, 2, 4, 4, 5, 4, 6, 8, 
##     1, 1, 3, 5, 1, 4, 11, 2, 5, 4, 4, 3, 8, 2, 11, 2, 2, 3, 5, 
##     3, 4, 3, 5, 4, 8, 5, 4, 10, 9, 5, 5, 7, 7, 6, 7, 7, 11, 5, 
##     6, 7, 4, 6, 4, 10, 5, 3, 3, 3, 5, 9, 3, 5, 4, 6, 2, 7, 2, 
##     5, 6, 6, 3, 3, 4, 6, 7, 3, 1, 5, 2, 1, 5, 11, 4, 3, 4, 3, 
##     4, 2, 15, 4, 5, 3, 6, 8, 10, 3, 6, 5, 4, 6, 3, 5, 5, 4, 4, 
##     4, 3, 5, 4, 2, 7, 6, 2, 2, 2, 3, 3, 4, 2, 4, 6, 3, 4, 2, 
##     4, 5, 2, 6, 8, 4, 4, 4, 7, 6, 9, 5, 4, 6, 5, 2, 5, 1, 1, 
##     3, 5, 3, 9, 11, 11, 8, 1, 4, 2, 3, 6, 3, 4, 3, 7, 5, 3, 6, 
##     3, 2, 3, 8, 4, 5, 3, 3, 8, 4, 6, 4, 7, 2, 3, 3, 2, 7, 2, 
##     6, 1, 4, 6, 4, 4, 2, 8, 2, 5, 1, 3, 2, 5, 5, 0, 4, 7, 1, 
##     6, 4, 11, 10, 5, 7, 4, 2, 3, 6, 5, 4, 3, 12, 2, 7, 4, 5, 
##     4, 6, 5, 2, 2, 2, 8, 1, 5, 3, 4, 4, 6, 2, 2, 4, 3, 6, 3, 
##     5, 10, 2, 2, 4, 2, 2, 4, 4, 1, 3, 13, 3, 3, 5, 2, 3, 3, 4, 
##     2, 2, 7, 11, 3, 2, 4, 5, 7, 5, 6, 4, 11, 3, 5, 2, 4, 3, 3, 
##     5, 5, 3, 8, 2, 0, 4, 3, 2, 6, 4, 6, 3, 4, 2, 6, 4, 1, 3, 
##     4, 2, 5, 4, 9, 4, 4, 5, 2, 3, 3, 3, 2, 7, 6, 2, 4, 5, 5, 
##     9, 2, 6, 6, 4, 5, 4, 3, 2, 5, 8, 4, 5, 5, 5, 2, 4, 13, 7, 
##     1, 4, 1, 10, 1, 9, 7, 6, 1, 1, 5, 2, 4, 3, 9, 4, 5, 7, 3, 
##     5, 7, 4, 1, 4, 6, 1, 2, 5, 5, 5, 7, 9, 10, 4, 3, 5, 5, 4, 
##     6, 4, 1, 4, 12, 8, 2, 3, 5, 7, 3, 11, 4, 2, 4, 4, 2, 5, 3, 
##     7, 5, 3, 6, 5, 4, 5, 5, 4, 2, 8, 5, 2, 5, 3, 4, 6, 8, 4, 
##     4, 4, 4, 3, 3, 2, 2, 5, 2, 2, 7, 4, 10, 3, 4, 6, 4, 6, 12, 
##     9, 7, 11, 6, 4, 4, 4, 6, 2, 7, 6, 1, 3, 2, 5, 9, 6, 4, 2, 
##     3, 5, 3, 3, 1, 4, 8, 5, 2, 10, 10, 5, 2, 7, 3, 6, 14, 8, 
##     2, 3, 12, 13, 7, 8, 7, 4, 4, 5, 6, 4, 3, 3, 6, 4, 2, 2, 6, 
##     5, 1, 2, 3, 2, 4, 6, 4, 2, 7, 5, 2, 1, 2, 4, 2, 1, 5, 3, 
##     2, 7, 3, 2, 4, 5, 4, 5, 2, 4, 9, 15, 8, 2, 4, 2, 3, 7, 5, 
##     5, 6, 6, 3, 4, 5, 5, 4, 3, 5, 9, 4, 5, 4, 4, 5, 9, 3, 3, 
##     4, 3, 5, 5, 4, 7, 4, 3, 6, 10, 7, 5, 2, 3, 2, 6, 8, 2, 11, 
##     8, 2, 3, 4, 3, 8, 2, 3, 6, 11, 4, 6, 4, 6, 3, 6, 3, 2, 4, 
##     3, 3, 4, 5, 1, 9, 3, 5, 4, 3, 3, 8, 4, 5, 7, 8, 4, 2, 8, 
##     5, 3, 2, 5, 4, 3, 3, 4, 4, 7, 2, 5, 6, 6, 8, 4, 5, 4, 3, 
##     5, 5, 4, 3, 1, 3, 5, 6, 3, 3, 7, 2, 2, 4, 5, 2, 1, 3, 5, 
##     4, 12, 2, 2, 4, 4, 2, 2, 10, 3, 2, 3, 2, 3, 4, 4, 10, 2, 
##     3, 3, 2, 4, 5, 5, 4, 3, 3, 1, 5, 7, 2, 3, 6, 6, 4, 6, 7, 
##     5, 4, 3, 6, 5, 4, 6, 3, 5, 3, 4, 5, 9, 4, 4, 1, 4, 6, 5, 
##     5, 3, 3, 1, 3, 5, 5, 13, 3, 7, 3, 1, 3, 4, 3, 2, 6, 8, 4, 
##     5, 5, 4, 10, 3, 4, 4, 3, 2, 5, 3, 3, 3, 8, 5, 3, 7, 5, 3, 
##     3, 3, 5, 5, 2, 6, 5, 3, 3, 4, 3, 6, 2, 1, 3, 3, 9, 3, 6, 
##     1, 1, 2, 7, 5, 3, 4, 3, 1, 3, 0, 4, 2, 1, 3, 6, 6, 1, 5, 
##     2, 4, 12, 2, 5, 8, 1, 1, 4, 4, 3, 2, 4, 2, 1, 3, 2, 10, 4, 
##     9, 5, 7, 1, 3, 5, 3, 2, 4, 2, 5, 9, 3, 4, 3, 6, 9, 6, 2, 
##     6, 2, 6, 3, 3, 3, 4, 4, 8, 3, 5, 7, 1, 3, 5, 2, 10, 13, 2, 
##     3, 3, 3, 6, 3, 5, 2, 11, 5, 3, 4, 3, 7, 9, 4, 1, 4, 9, 8, 
##     3, 5, 6, 1, 6, 3, 3, 3, 1, 5, 6, 4, 4, 1, 6, 4, 8, 4, 4, 
##     3, 5, 4, 9, 4, 4, 3, 3, 3, 4, 10, 5, 8, 5, 3, 4, 3, 1, 7, 
##     2, 5, 4, 2, 5, 6, 3, 7, 5, 1, 3, 3, 6, 3, 4, 2, 9, 2, 3, 
##     3, 3, 3, 3, 3, 4, 5, 6, 7, 5, 4, 1, 2, 5, 3, 7, 4, 4, 5, 
##     5, 9, 3, 7, 2, 13, 6, 6, 5, 2, 1, 7, 4, 9, 4, 7, 2, 4, 3, 
##     6, 3, 5, 2, 3, 3, 5, 3, 1, 3, 1, 4, 5, 2, 2, 4, 6, 4, 6, 
##     5, 3, 5, 9, 3, 7, 1, 4, 4, 13, 3, 6, 5, 3, 3, 1, 2, 8, 4, 
##     2, 7, 1, 6, 2, 2, 7, 4, 2, 4, 3, 2, 6, 6, 5, 2, 4, 7, 2, 
##     7, 7, 5, 3, 1, 10, 1, 3, 1, 6, 1, 4, 1, 7, 5, 2, 8, 2, 3, 
##     2, 5, 1, 2, 3, 7, 11, 5, 3, 4, 1, 5, 3, 3, 3, 3, 2, 8, 2, 
##     4, 7, 6, 3, 5, 10, 2, 4, 2, 2, 8, 3, 3, 3, 2, 3, 8, 2, 1, 
##     3, 3, 4, 8, 7, 6, 1, 3, 6, 7, 8, 4, 5, 3, 0, 1, 2, 4, 4, 
##     4, 3, 2, 1, 6, 6, 7, 1, 8, 1, 9, 7, 5, 4, 9, 4, 4, 5, 7, 
##     4, 3, 6, 4, 5, 2, 2, 1, 4, 11, 5, 2, 4, 3, 3, 4, 3, 5, 6, 
##     4, 5, 5, 2, 2, 2, 1, 4, 8, 6, 8, 3, 6, 7, 4, 6, 5, 3, 6, 
##     5, 8, 4, 7, 4, 3, 4, 2, 7, 9, 9, 6, 4, 4, 3, 3, 7, 2, 9, 
##     4, 6, 5, 3, 2, 7, 7, 3, 7, 4, 7, 2, 5, 4, 5, 7, 7, 9, 4, 
##     2, 3, 4, 3, 4, 5, 3, 9, 3, 5, 3, 5, 9, 6, 4, 9, 4, 3, 3, 
##     3, 4, 3, 2, 3, 3, 5, 3, 3, 7, 4, 7, 5, 3, 4, 2, 5, 9, 3, 
##     7, 3, 4, 3, 0, 4, 7, 2, 3, 0, 2, 5), c(2.08, 3.08, 3.59, 
##     3.59, 2.92, 1.57, 3.81, 4.48, 2.78, 2.32, 2.65, 3.27, 2.89, 
##     2.3, 3, 3.16, 2, 2.3, 3.67, 3.51, 2.27, 2.32, 2.67, 0.57, 
##     4.51, 1.24, 2.16, 1.84, 1.57, 2.32, 3.16, 2.43, 2.84, 2.35, 
##     0, 3.32, 1.81, 2.51, 2.35, 3.24, 2.65, 2.75, 2.35, 3.78, 
##     2.43, 3.43, 1.43, 4.81, 2.24, 3.24, 2.84, 2.89, 1.76, 1.76, 
##     3.05, 2.48, 2.16, 3.38, 4, 2.62, 2.4, 2.62, 2.24, 2.86, 2.08, 
##     2.84, 2.46, 3.46, 2.86, 2.86, 3.7, 1.92, 3.83, 2.84, 2.57, 
##     1.84, 1.97, 2.86, 2.24, 2.32, 2.54, 3.13, 1.84, 2.81, 3.67, 
##     3.05, 3.56, 3.62, 4.67, 3.54, 1.97, 2.89, 2.32, 0, 3.16, 
##     2.03, 2.54, 2.73, 3.11, 2.89, 4.13, 2.54, 2.48, 2.84, 3, 
##     2.43, 2.51, 2.92, 1.4, 2.38, 3.43, 1.54, 1.62, 3.27, 1.46, 
##     4, 1.57, 3.51, 2.84, 1.92, 1.59, 2.05, 2.89, 3.59, 3.35, 
##     2.21, 2.73, 4.02, 3.78, 2.4, 2.92, 2.65, 2.46, 3.24, 3.92, 
##     3.51, 3.05, 3.11, 2.86, 3, 1.76, 4.48, 3.54, 3.11, 2.92, 
##     3, 4.59, 2.84, 2.24, 2.81, 4.48, 4.08, 2.57, 2.7, 2.89, 2.38, 
##     2.19, 3.89, 2.05, 1.46, 2.48, 2.16, 2.48, 3.97, 2.35, 4.27, 
##     2.11, 3.73, 3.35, 3.08, 1.19, 3.05, 2.38, 3.21, 3.78, 3.02, 
##     1.86, 4.64, 2.65, 2.48, 2, 1.89, 3.51, 4.08, 1.35, 2.05, 
##     3.08, 2.46, 2.73, 2.16, 2.4, 3.16, 2.3, 2.86, 4, 3.35, 3.27, 
##     3.11, 3.43, 3.11, 2.84, 2.73, 3.75, 1.84, 3.02, 2.11, 3, 
##     1.46, 2.94, 2.16, 3.35, 1.92, 3.29, 3.48, 2.89, 2.43, 2.51, 
##     3.19, 2.54, 3.81, 2.7, 2.97, 2.65, 2.03, 0.95, 3.4, 2.38, 
##     2.97, 3.13, 3.21, 2, 4.67, 2.62, 2.3, 2.86, 2.62, 2.38, 2.86, 
##     3.75, 1.81, 3.11, 2.62, 4.56, 2.97, 4.19, 2.51, 3.67, 1.78, 
##     3.73, 3.05, 2.94, 2.4, 3.24, 4, 3.56, 2.51, 2.21, 3.19, 3.65, 
##     2.59, 1.7, 2.92, 3.75, 2.81, 2.57, 2.05, 2.57, 2.21, 1.7, 
##     2.05, 2.73, 2.73, 3.27, 1.57, 2.67, 2.59, 2.57, 3.81, 3.02, 
##     2.35, 3.08, 3.56, 1.67, 1.43, 2.97, 2.73, 1.94, 0, 3.46, 
##     1.89, 2.81, 2.92, 4.16, 2.43, 3, 4.19, 3.54, 3.16, 2.16, 
##     3.21, 2.13, 2.51, 3.08, 3.43, 2.94, 3.02, 3.51, 4.81, 2.92, 
##     3.7, 2.84, 2.48, 3.54, 3.13, 3.16, 3.94, 3.78, 3.4, 2.32, 
##     2.92, 3.02, 2.94, 2.92, 3.08, 2.05, 2.78, 1.92, 2.86, 2.08, 
##     2.75, 1.81, 2.4, 3.38, 2.86, 2.4, 3.51, 2.65, 2, 2.97, 3.24, 
##     2.67, 2.08, 2.92, 4.37, 4.64, 3.19, 2.59, 4.08, 3.16, 3.7, 
##     3.32, 2.62, 3.56, 2.97, 2.3, 3.11, 3.05, 2.13, 2.75, 3.27, 
##     3.29, 2.78, 2.73, 3.16, 2, 2.94, 3.81, 3.08, 2.62, 2.7, 3.56, 
##     2.97, 3.29, 3.46, 2.11, 3.02, 3.21, 3.7, 2.51, 3.08, 2.54, 
##     2.92, 2.97, 3.21, 2.38, 2.19, 2.75, 2.81, 2.43, 2.81, 1.54, 
##     3.05, 3.02, 1.84, 2.4, 2.19, 1.3, 2.54, 2.46, 3.16, 2.7, 
##     3.19, 2.7, 2.97, 3.05, 3.29, 2.75, 2.38, 2.86, 2.35, 2.3, 
##     2.97, 3.35, 1.97, 3.08, 2.67, 2.86, 3.67, 3.19, 2.89, 4.51, 
##     1.86, 3.4, 2.3, 1.54, 3.38, 2.86, 2.84, 2.24, 3.32, 2.38, 
##     1.13, 3.05, 2.97, 3.43, 3.46, 1, 2.43, 3.75, 2.97, 2.89, 
##     2.4, 1.49, 2.13, 2.7, 4.24, 3.75, 2.67, 3.21, 3.62, 3.54, 
##     1.19, 2.21, 3.48, 2.59, 2.21, 3.81, 2.4, 2.65, 2.03, 1.35, 
##     4.05, 3.38, 3.46, 2.94, 2.92, 3.65, 1.59, 1.57, 2.84, 1.94, 
##     3.13, 2.43, 2.35, 4.1, 2.62, 3.29, 2.51, 2.48, 2.7, 2.35, 
##     3.16, 3.13, 2.67, 1.65, 2.65, 2.62, 2.46, 2.43, 2, 2.11, 
##     3, 4, 3.08, 2.84, 2.73, 2.94, 3, 2.73, 2.54, 3.24, 2.03, 
##     2.84, 2.3, 3.43, 3.38, 1.62, 3.21, 3.27, 3.08, 3.89, 3.59, 
##     2.08, 3.02, 2.75, 3.16, 4, 2.97, 2.46, 1.78, 5.32, 2.94, 
##     3.59, 2.38, 3.19, 3.08, 4.21, 3.27, 2.7, 1.35, 4.21, 1.73, 
##     3.65, 2.97, 2.21, 2.97, 2.78, 3.05, 2.75, 3.86, 3.48, 2, 
##     4.19, 2.59, 3, 3.89, 3.56, 3.13, 4.78, 2.84, 3.51, 2.19, 
##     0, 2, 2.75, 2.13, 3.29, 3.24, 3.05, 2.7, 2.89, 3, 2.78, 1.76, 
##     2.16, 3.27, 2.43, 3.56, 4.43, 2.89, 3, 2.92, 3.48, 2.51, 
##     2.16, 1.78, 2.59, 4.16, 3.38, 0, 3.94, 2.84, 3.51, 2.89, 
##     3, 2.03, 2.57, 1.76, 2.81, 1.57, 2.7, 1.54, 2.89, 2.13, 2.54, 
##     2.48, 2.73, 2.81, 1.51, 0.3, 2.27, 3.73, 4.37, 3.35, 2.97, 
##     2.57, 3.19, 3.21, 3.73, 1.54, 1.84, 2.54, 3.54, 3.56, 2.3, 
##     3.48, 2.65, 2.65, 3.16, 1, 1.73, 1.16, 1.78, 3.83, 1.81, 
##     2.75, 2.27, 2.84, 1.43, 3.67, 2.75, 2.43, 1.84, 1.59, 1.54, 
##     2.51, 2.73, 0, 2.51, 2.3, 2, 2.13, 2.65, 3.32, 3.16, 2.19, 
##     2.27, 3.32, 2.86, 3.48, 4.05, 1.76, 1.35, 2.24, 2.62, 1.94, 
##     3.7, 2.51, 3.73, 3.19, 2.38, 3, 1.35, 2.3, 3.56, 3.89, 2.35, 
##     2.48, 2.97, 3.62, 2.59, 3.13, 4.24, 2.38, 3.08, 1.97, 2.94, 
##     1.7, 2.4, 2.27, 3.32, 3.83, 3.62, 2.51, 2.43, 2.75, 1.43, 
##     3.24, 4.08, 2.59, 1.46, 3.48, 2.94, 3.24, 3, 2.43, 3.35, 
##     3.43, 1.54, 2.73, 2.24, 3.29, 3.59, 3.78, 3.46, 2.75, 3.21, 
##     0.92, 3.35, 3.13, 1.78, 3.19, 2.59, 3.32, 2.38, 1.94, 1.43, 
##     3.43, 3.46, 2.7, 3.13, 2.54, 3.13, 2.08, 2.7, 2.32, 1.7, 
##     2.94, 2.13, 1.27, 2.21, 3.05, 2.89, 3.19, 3.02, 3.05, 1.78, 
##     2.51, 2.43, 3.89, 2.75, 4.54, 2.27, 3.05, 3.11, 2.97, 2.35, 
##     2.84, 2.84, 2.75, 3.51, 3.4, 3.89, 1.57, 0.35, 2.86, 2.89, 
##     1.94, 2.97, 3.65, 2.65, 2.38, 1.81, 3.7, 2.65, 2.3, 1.3, 
##     1.32, 3, 2.03, 2.46, 2.57, 2.13, 2.7, 1.89, 2.67, 3.19, 2.57, 
##     3, 3.67, 2.32, 3.78, 2.94, 3.21, 3.56, 3.11, 1.51, 3.75, 
##     3.08, 3.75, 2.7, 3.65, 1.51, 2.48, 2.92, 1.38, 3.65, 2.59, 
##     2.94, 3.05, 2.81, 2.27, 0.59, 3.19, 2.92, 1.13, 2.27, 2.16, 
##     1.92, 1.51, 3.08, 2.32, 2.81, 1.08, 2.78, 0, 2.78, 3.75, 
##     3.05, 1.78, 2.81, 3.27, 3.62, 2.05, 2.03, 2.89, 2.4, 2.84, 
##     3, 3.4, 2.57, 2.59, 1.84, 1.54, 3.19, 1.81, 2.81, 3.46, 2.08, 
##     2.75, 2.81, 2.54, 2.73, 2.16, 1.49, 2.97, 2.75, 2.94, 3.27, 
##     1.92, 4.54, 5.05, 2.65, 2.67, 1.89, 2.4, 2.67, 1.92, 3.19, 
##     1.59, 1.97, 3.24, 3.29, 3.27, 1.65, 3.27, 3.89, 3.19, 3.27, 
##     2.4, 3.21, 2.24, 2.81, 2.75, 1.65, 3.27, 2.27, 2.13, 2.59, 
##     4.35, 2.73, 1.86, 2.62, 4.32, 1.84, 3.59, 3.73, 2.48, 2.11, 
##     3.19, 3.4, 2.51, 4.27, 2.94, 1.78, 3.11, 2.11, 2.4, 3.02, 
##     3.02, 3.86, 2.73, 2.81, 2.48, 2.97, 2.54, 2.89, 2.92, 2.4, 
##     4.13, 1.24, 2.84, 2.51, 1.92, 2.75, 3.51, 2.92, 2.46, 0, 
##     2.7, 3.19, 2.57, 3.38, 3.08, 3, 0.95, 2.57, 3.24, 2.48, 2.59, 
##     2.81, 3.46, 3.38, 1.65, 2.62, 2.46, 2.51, 2.65, 3.51, 3.16, 
##     3.4, 2.38, 3, 4.27, 2.62, 2.73, 3.27, 2.3, 2.7, 2.27, 2.46, 
##     4.46, 3.4, 3.19, 4, 1.78, 2.38, 2.67, 4.16, 1.51, 2.97, 2.05, 
##     3.32, 1.22, 2.48, 1.94, 3.48, 3.62, 2.3, 3.43, 3.21, 2.54, 
##     2.11, 2.32, 2.75, 2.92, 2.05, 3.11, 1.62, 1.92, 3.32, 2.43, 
##     3.54, 2.48, 3.43, 2.89, 3.21, 3.65, 3.32, 3.02, 2.32, 4.1, 
##     1.38, 2.48, 3.02, 3.48, 1.51, 2.65, 2.57, 1.49, 2.81, 3.56, 
##     3.65, 1.73, 3.62, 2.78, 2.86, 4.13, 2.48, 3.08, 3.13, 3.35, 
##     3.21, 3.16, 2.11, 3.65, 2.11, 1.76, 3.24, 3.51, 1.57, 3.32, 
##     2.65, 1.59, 2.86, 4.48, 3.94, 3.19, 1.81, 1.94, 2.57, 1.38, 
##     3.13, 2.97, 3.32, 2.24, 2.73, 4.05, 3.81, 2.89, 2.86, 2.13, 
##     1.46, 2.81, 2.32, 1.97, 2.4, 3.56, 3.08, 2.32, 2, 3.7, 2.43, 
##     4.24, 3.02, 2.21, 2.92, 3.38, 1.62, 3.13, 2.03, 2.7, 3.43, 
##     4.67, 3.29, 1.89, 3.02, 1.97, 2.67, 4.02, 2.67, 2.32, 2.43, 
##     1.76, 3.08, 3, 1.84, 3.32, 2.97, 3.11, 3.02, 4, 2.84, 1.62, 
##     2.03, 3.21, 3.48, 2.78, 2.24, 2.38, 3.27, 3.7, 3.56, 2.86, 
##     2.32, 2.81, 2.89, 3.43, 2.78, 3.62, 3.94, 3.7, 2.19, 3.13, 
##     3.59, 3.94, 3, 1.54, 2.38, 2.59, 3.19, 2.27, 2.35, 3.02, 
##     2.89, 3.11, 2.35, 3.32, 3.4, 2.94, 2.24, 2.46, 2.11, 2.24, 
##     1.59, 2.84, 3.08, 3.38, 3.19, 4.1, 1.92, 3.59, 2.97, 3.67, 
##     3.92, 2.3, 2.3, 4.21, 3.16, 2.21, 3.7, 2.03, 0, 2.73, 2, 
##     3.21, 3.16, 3, 3.11, 3.21, 2.86, 2.94, 3.08, 2.65, 3.46, 
##     2.54, 2.51, 2.7, 3.32, 2.16, 1.94, 2.86, 1.57, 3.94, 3.21, 
##     2.84, 3.35, 3.73, 4.08, 3.43, 3.27, 3.51, 4.08, 1.78, 2.84, 
##     2.43, 2.16, 3.02, 2.75, 3.19, 1.27, 2.94, 2.97, 3.32, 2.62, 
##     2.13, 2.43, 3.08, 2.92, 2.27, 2.16, 2.4, 3.83, 2.54, 2.86, 
##     3.73, 2.81, 3.29, 2.21, 2.43, 2.57, 4.02, 3.05, 3.59, 3.51, 
##     3.56, 3.27, 1.51, 3.21, 3.32, 2.19, 2.51, 3.78, 2.08, 3.05, 
##     3.21, 2.67, 3.46, 3.73, 2.43, 3.32, 3.02, 1.19, 3.38, 2.89, 
##     3.08, 3.13, 3.4, 3.11, 2.16, 3.24, 2.73, 2.27, 1.67, 3.08, 
##     2.97, 3.19, 4.05, 3.75, 2.46, 3.08, 1.57, 4.21, 1.59, 2.11, 
##     2.89, 2.65, 1.76, 2.19, 2.54, 3.48, 2.05, 2.24, 2.92, 3.24, 
##     2.75, 3.05, 2.86, 2.89, 2.43, 2.08, 3.05, 2.65, 2.89, 3.35, 
##     3.62, 3.73, 3.11, 4.05, 2.54, 3.4, 2.43, 4.05, 3.4, 3.46, 
##     2.7, 3.43, 3, 2.08, 2, 3.27, 2.19, 2.48, 3.38, 2.75, 2.59, 
##     3.21, 3.21, 1.51, 1.81, 3.08, 2.73, 3, 3.05, 2.94, 3.43, 
##     2.78, 3.19, 1.73, 2.38, 2.62, 3.86, 2.92, 2.35, 3.02, 2.75, 
##     2.62, 2.92, 2.21, 2.46, 3.51, 2.11, 3.94, 3.13, 2.21, 3.75, 
##     1.65, 3.27, 2.86, 2.46, 3.19, 2.94, 1.81, 2.21, 2.62, 2.78, 
##     2.62, 2.46, 1.62, 2.54, 2.78, 2.97, 1.78, 3.38, 3.24, 2.65, 
##     2.86, 2.75, 3.35, 2.67, 2.38, 2.7, 3.16, 1.89, 2.05, 3, 3.13, 
##     4.35, 1.81, 3.05, 3.16, 3.32, 2.51, 3.21, 2.3, 2.24, 1.49, 
##     1.92, 3.73, 2.75, 3.46, 2.57, 3.4, 0, 2.11, 0, 3.21, 4.02, 
##     2.03, 2.67, 2.03, 2.32, 1.7, 2.32, 1.89, 3.35, 2.16, 2.89, 
##     1.27, 2.59, 1.92, 2, 2.46, 2.43, 3.24, 2.16, 2.7, 3.08, 2.05, 
##     3.08, 3.35, 3.19, 2.73, 3.19, 3.75, 2.08, 2.94, 2.84, 3.78, 
##     2.73, 3.24, 2.08, 1.92, 3.05, 1.94, 2.73, 3.43, 3.05, 2.08, 
##     3.46, 2.59, 3.73, 2, 2.03, 3.92, 2.16, 3.67, 3, 3.56, 3.08, 
##     2.86, 2.59, 3.05, 2.73, 2.84, 3.13, 2.03, 1.86, 2.35, 2.4, 
##     2.86, 2.4, 3.11, 3.51, 2.94, 4.29, 2.19, 2.86, 2.62, 2.89, 
##     1.84, 2.08, 2.67, 2.32, 2.38, 2.43, 2, 3, 3.51, 2.19, 2.11, 
##     2.92, 2.81, 2.67, 3.67, 3.51, 3.29, 2.05, 3.13, 3.19, 2.4, 
##     3.54, 4.08, 2.78, 3.02, 2.75, 2.32, 2.67, 3.67, 2.78, 1.73, 
##     4.4, 3.11, 3, 3.46, 3.05, 3.13, 2.89, 4, 3.83, 2.92, 3.81, 
##     2.84, 2.59, 1.22, 3.11, 2.62, 1.97, 1.59, 2.81, 4.13, 1.86, 
##     3.24, 2.57, 2.75, 2.4, 3.11, 2.35, 2.11, 2.86, 2.94, 3.59, 
##     3.35, 1.76, 2.65, 2.38, 2.4, 2.62, 1.46, 3.32, 3.65, 3.97, 
##     1.65, 3.19, 4.19, 3.54, 3.32, 2.32, 3.48, 3.48, 2.3, 2.73, 
##     3.16, 3.7, 1.78, 1.65, 2.38, 1.62, 1.94, 2.54, 2.73, 2.78, 
##     1.89, 3.38, 2.75, 2.32, 2.75, 2.94, 3.48, 2.94, 2.21, 3.46, 
##     3.19, 2.03, 3.56, 3.35, 2.65, 3.43, 3, 3.24, 3.62, 2.08, 
##     3.19, 3.7, 1.78, 3.05, 3.08, 2.67, 2.81, 2.19, 2.27, 3.27, 
##     1.49, 2.59, 3.24, 3.29, 3, 2.84, 2.78, 1.54, 4.05, 2.3, 2.89, 
##     2.7, 3.62, 3.35, 2.62, 3.21, 2.43, 2.84, 5.1, 3, 2.84, 2.92, 
##     1.51, 2.08, 1.92, 2.51, 1.59, 3.89, 3.27, 4.27, 3.56, 2.57, 
##     3.05, 2.43, 2.67, 2.59, 3.24, 2.05, 2.32, 2.97, 1.32, 3.78, 
##     4.08, 1.86, 1.78, 3.54, 3.54, 1.76, 2.57, 2.86, 2.11, 2.7, 
##     3.05, 1.62, 1.94, 3.02, 2.48, 3.46, 2.78, 3.94, 3.29, 3.75, 
##     2, 2.11, 2.7, 2.65, 2.59, 2.7, 3.16, 2.05, 3.13, 1.92, 3.46, 
##     2.38, 2.78, 3.78, 1.81, 2.57, 2.38, 2.3, 2.62, 0.95, 2.11, 
##     2.62, 3.27, 2.59, 3.65, 2.46, 2.65, 3.05, 3.43, 3.05, 2.21, 
##     2.92, 1.84, 1.7, 3.05, 2.67, 2.59, 1.86, 1.81, 2.7, 3.35, 
##     1.27, 3.54, 3, 3.24, 2.3, 1.65, 2.48, 1.7, 2.27, 2.94, 4.02, 
##     3.65, 2.54, 1.89, 1.97, 2.3, 2.19, 3.02, 3.16, 3.08, 3.65, 
##     3.97, 2.62, 3.86, 2.75, 2.86, 2.97, 2.73, 2.75, 3, 2.78, 
##     2.4, 4.16, 3.13, 2.11, 3, 4.27, 3, 1.84, 2.94, 0.3, 2.38, 
##     2, 3.19, 2.75, 1.94, 0.89, 2.35, 4.35, 2.78, 2.65, 2.81, 
##     2.27, 2.24, 2.7, 2.73, 2.24, 1.86, 4.19, 2.43, 1.03, 2.65, 
##     3.05, 3.13, 2.67, 3.73, 3.05, 2.4, 2.62, 2.65, 2.3, 2.89, 
##     2.46, 3.75, 1.97, 3.02, 3.43, 2.78, 2.16, 1.73, 1.73, 3.29, 
##     2.7, 3, 3.51, 3.13, 2.48, 4, 2.05, 3.35, 3.21, 2.59, 2.92, 
##     2.05, 2.62, 2.78, 2.11, 2.46, 2.89, 1.57, 2.75, 2.94, 2.62, 
##     2.08, 2.73, 2.92, 3.62, 1.46, 3.05, 2, 1.35, 2.43, 2.57, 
##     3.73, 3.97, 3.7, 2.35, 2.86, 2.46, 3.38, 1.78, 3.73, 1.49, 
##     2.57, 1.76, 5.21, 2.67, 2.65, 2.65, 2.11, 2.86, 2.57, 3.89, 
##     2.27, 3.94, 1.92, 1.97, 3.13, 3.4, 2.7, 4.05, 3.11, 3.4, 
##     1.38, 3.11, 3.7, 3.56, 3.78, 2.51, 3.75, 3.08, 3.56, 1, 3.11, 
##     3.19, 3.86, 2.7, 0.54, 3.56, 2.11, 3.08, 2.38, 2.11, 3.67, 
##     3.11, 2.03, 3.51, 3, 2.62, 2.62, 3.16, 4.29, 3, 2.97, 1.13, 
##     1.97, 3.13, 3.35, 2.7, 3.02, 3.35, 3.08, 2.92, 3.46, 1.97, 
##     2.54, 2.97, 2.43, 3.94, 2.08, 1.86, 3.59, 2.65, 1.08, 1.86, 
##     2.16, 1.89, 2.27, 2.05, 2.27, 2.4, 2.03, 1.94, 3.65, 2.81, 
##     2.84, 1.54, 3.54, 4.73, 3.48, 1.67, 2.59, 2.81, 3.46, 1, 
##     2.3, 3.02, 3.05, 4.08, 2.59, 3.02, 2.59, 3.56, 2.54, 2.13, 
##     3.56, 2.97, 3.7, 3.48, 1.43, 4.16, 3.83, 1.84, 2.11, 2.78, 
##     3.11, 2.48, 2.03, 3.32, 2.24, 3.62, 4.1, 3.11, 2.11, 3.46, 
##     2.16, 1.73, 0, 2.21, 3.51, 3.92, 1.46, 2.75, 3.11, 3.02, 
##     1.49, 1.05, 1.46, 2.11, 3.97, 2.7, 2.7, 2.27, 5.32, 2.13, 
##     2.03, 3.83, 3.11, 2.7, 1.35, 3.11, 2.92, 1.76, 1.92, 2.05, 
##     3.19, 4.08, 2.78, 2.86, 3.97, 2.03, 3.4, 2.46, 2.75, 2.81, 
##     3.43, 3.73, 2.65, 1.4, 2.43, 2.27, 2.89, 3.29, 2.03, 3.38, 
##     2.48, 4.19, 1.73, 2.38, 1.73, 3.24, 2.67, 3.05, 3.54, 3.35, 
##     3.65, 2.51, 3.56, 2.46, 3.43, 2.03, 2.67, 3.02, 3.05, 2.27, 
##     2.19, 1.84, 2.78, 2.73, 1.89, 2.13, 2.54, 3.13, 3.21, 3.7, 
##     2.81, 4.46, 3.27, 3.56, 2.94, 2.78, 3.21, 3.05, 2.81, 2.57, 
##     1.43, 3.56, 1.86, 2.4, 2.43, 2.62, 3.43, 4.73, 1.84, 3.75, 
##     2.97, 2.11, 2.24, 2.92, 2.81, 2.11, 1.73, 3.48, 3.38, 2.51, 
##     3.59, 2.67, 1.59, 3.32, 2.65, 2.75, 2.81, 2.97, 3.32, 2.7, 
##     2.92, 3.54, 3.13, 3.27, 2.38, 3.94, 3.4, 3.29, 2.67, 3.08, 
##     2.3, 1.76, 1.62, 2.94, 2.38, 1.65, 2.11, 1.92, 2.05, 3.19, 
##     2.3, 4.48, 3.48, 2.97, 3.54, 2.7, 1.86, 3.4, 2.16, 2.65, 
##     1.94, 3.94, 3.19, 1.59, 3.48, 2.43, 2.03, 2.4, 2.16, 3.59, 
##     1.65, 2.43, 2.51, 0.11, 2.24, 2.24, 2.73, 2.97, 3.43, 1.7, 
##     3.7, 3.46, 1.84, 2.97, 3.11, 2.67, 2.32, 3.21, 4.21, 2.7, 
##     2.54, 3.32, 3.97, 2.65, 2.54, 2, 2.94, 3.43, 3.11, 3.4, 1.81, 
##     2.32, 2.78, 3.62, 1.62, 4, 2.94, 3.56, 2.32, 3.32, 1.59, 
##     3.81, 4, 2.86, 3.83, 2.16, 3.05, 4.46, 2.32, 1.73, 2.57, 
##     3.24, 2.67, 3.27, 3.13, 2.13, 3.24, 2, 3, 2.78, 2.3, 2.59, 
##     2.86, 1.51, 3.05, 1.51, 2.35, 2.7, 3.78, 2.54, 2.35, 3.97, 
##     1.03, 3.94, 2.7, 2, 1.35, 2.65, 2.75, 3.35, 1.89, 3.43, 3.43, 
##     2.97, 1.7, 2.59, 2.7, 2.57, 2.21, 2.92, 2.57, 2.38, 2.75, 
##     2.48, 3.27, 3.78, 3.02, 1.35, 3.05, 2.67, 3.24, 2.94, 2.92, 
##     3.11, 1.49, 2.7, 3.02, 3.46, 3.29, 2.89, 1.19, 2.3, 0.73, 
##     2.78, 3.83, 1.51, 2.62, 3.35, 2.94, 2.21, 2.13, 3.4, 2.24, 
##     2.57, 1.92, 3.59, 2.4, 2.51, 0.89, 0.7, 2.48, 3.02, 3, 2.92, 
##     4.13, 3.54, 3.29, 2.67, 2.59, 2.86, 1.92, 2.65, 3.56, 3.11, 
##     3.21, 2.16, 2.73, 3.83, 2.24, 1.59, 4.08, 2.35, 4.13, 2.35, 
##     2.62, 2.24, 2.4, 3.62, 3.13, 3.73, 3.08, 2.46, 3.83, 2.65, 
##     1.92, 2.65, 3.11, 3.7, 3.02, 2.67, 2.48, 2.7, 2.13, 2.57, 
##     2.08, 2.4, 2.27, 4.1, 1.7, 2.48, 1.59, 4.29, 2.78, 2.84, 
##     2.78, 2.73, 2.03, 2.7, 1.3, 2.32, 4, 3.46, 2.08, 2.24, 3.05, 
##     3.16, 4.02, 2.73, 3.02, 2.94, 3.48, 3.11, 2.16, 2.94, 3.4, 
##     3.08, 2.16, 1.7, 3.16, 3.02, 2.46, 3.16, 2.73, 1.73, 4.21, 
##     3.19, 3.83, 3.05, 3.65, 2.94, 2.46, 2.08, 2.84, 2.78, 3.32, 
##     2.89, 2.03, 1.94, 3.78, 2.75, 3.86, 1.76, 3.19, 3.02, 2.11, 
##     3.05, 3.08, 3.94, 3.59, 3.24, 2.94, 2.57, 3.29, 1.97, 2.32, 
##     2.32, 3.13, 3.67, 3.24, 2.78, 3, 4.94, 2.94, 2.94, 1.76, 
##     2.57, 2.4, 1.81, 2.38, 2.62, 3.81, 2.27, 1.97, 2.4, 3.08, 
##     1.94, 2.48, 2.21, 3.29, 3.32, 3, 2.75, 1.73, 4.43, 2.67, 
##     3.89, 2.97, 1.24, 3.13, 3.32, 3.05, 2.43, 3.08, 3.48, 2.75, 
##     2.59, 3.13, 3.46, 3.48, 2.21, 2.51, 3.59, 2.43, 2.92, 2.48, 
##     3.56, 2.84, 3.48, 2.94, 3, 2.51, 2.7, 2.3, 3.62, 2.94, 2.4, 
##     4.24, 1.89, 3.46, 3.11, 2.89, 2.97, 2.84, 2.38, 2.48, 3.75, 
##     3, 4.13, 3.51, 2.59, 2.62, 2.97, 2.65, 2.89, 3.75, 3.02, 
##     3.16, 3.51, 2.78, 1.94, 2.3, 1.49, 2.08, 4.86, 2.89, 2.7, 
##     1.89, 1.86, 2.81, 2.84, 2.19, 4.02, 3.08, 3.05, 2.03, 2.54, 
##     2.27, 3.59, 2.32, 2.57, 3.43, 2.65, 2.46, 2.84, 3.38, 2.3, 
##     2.73, 3, 2.78, 2.16, 1.59, 2.81, 1.27, 1.84, 1.7, 3.21, 3.62, 
##     2.54, 2.19, 3.4, 3.59, 3.59, 3.65, 2.73, 3.78, 2.59, 2.73, 
##     2.11, 2.92, 2.43, 2.73, 2.78, 2.75, 2.84, 1.57, 1.97, 1.84, 
##     3.29, 3.83, 2.38, 2.92, 3.75, 2.86, 3.78, 3.32, 1.86, 2.21, 
##     2.7, 3.13, 2.3, 3.4, 1.97, 2.16, 2.65, 1.22, 3.19, 1.78, 
##     1.43, 4.56, 3.32, 1.94, 2.48, 2.67, 2.3, 3.16, 3.05, 2.7, 
##     2.38, 2.84, 1.89, 3.4, 1.49, 3.51, 1.97, 2.62, 2.92, 2.51, 
##     2.73, 2.65, 3.56, 3.4, 2.4, 2.43, 1.22, 2.73, 1.65, 2.3, 
##     1.11, 1.84, 3.51, 3.83, 0.68, 3.43, 3.16, 3.4, 2.81, 3, 3.35, 
##     3.29, 2.32, 1.89, 2.75, 1.32, 3, 2.84, 2.75, 1.92, 3.48, 
##     3.27, 2.38, 1.57, 3.86, 4.73, 3.78, 1.86, 2.51, 1.24, 1.46, 
##     4.1, 3.19, 2.19, 2.65, 2.35, 2.78, 1.78, 2.24, 2.75, 2.43, 
##     3.02, 2.38, 4.21, 2.32, 3.86, 3.83, 3.02, 3.16, 3.24, 1.67, 
##     3.05, 2.62, 3.11, 2.54, 3.19, 3.13, 3.24, 3.08, 3.16, 3.62, 
##     1.92, 2.67, 2.38, 1.94, 2.08, 3.56, 2.92, 2.27, 3.97, 3.27, 
##     3.59, 2.62, 1.81, 1.65, 4, 3.38, 3.59, 2.62, 3.13, 1.51, 
##     1.94, 2.7, 3.32, 3.67, 1.62, 1.7, 4.16, 2.43, 2.89, 2.73, 
##     2.73, 2.62, 3.08, 1.92, 2.94, 0, 1.89, 2.38, 3, 3.24, 2.81, 
##     3.46, 2.54, 3.32, 2.84, 2, 2.46, 2.65, 3, 3.02, 2.62, 2.48, 
##     2.67, 1.76, 3.73, 3.65, 2.62, 1.51, 3.27, 2.89, 2.46, 3.05, 
##     3.92, 2.4, 2.13, 2.32, 3.24, 2.03, 3.81, 2.67, 2.51, 3.05, 
##     2.84, 1.94, 3.05, 2.35, 3.08, 2.7, 3.48, 2.16, 4.4, 3.4, 
##     3.32, 3.51, 3.11, 3.46, 2.46, 2.54, 3.02, 2.78, 1.81, 2.3, 
##     1.78, 4.02, 2.73, 2.46, 2.32, 2.57, 3.38, 2.54, 3.29, 2.51, 
##     4.43, 2.67, 2.11, 3.24, 2.3, 2.97, 3.11, 1.78, 0, 2.97, 2.65, 
##     2.54, 3, 3.05, 3.78, 2.11, 3.02, 2.57, 1.03, 2.16, 1.81, 
##     2.73, 1.51, 3.08, 4.16, 3.48, 1.94, 2.16, 3.24, 2.59, 1.24, 
##     3.35, 3.08, 2.89, 3.13, 2.35, 2.32, 2.62, 1.62, 3.11, 2.7, 
##     2.11, 2.27, 2.3, 1.67, 3.11, 3, 3.7, 2.4, 3.35, 3.4, 2.78, 
##     2.75, 3.97, 1.22, 3.27, 2.97, 2.46, 3.32, 3.54, 3.43, 2.59, 
##     1.94, 1.84, 3.51, 2.94, 2.97, 2.86, 1.94, 2.03, 3.83, 1.46, 
##     2.97, 3, 1.54, 2.65, 3.59, 2.62, 2.46, 3, 3.56, 2.62, 2.75, 
##     2.81, 3.67, 2.46, 2.73, 2.32, 1.57, 2.3, 3.05, 3.48, 2.65, 
##     1.65, 2.24, 2.35, 1.59, 2.62, 2.57, 3.81, 1.92, 4.75, 3.11, 
##     4.35, 2.35, 2.43, 3.7, 3.11, 2.48, 2.27, 1.7, 3.92, 3.27, 
##     2.4, 2.32, 2.73, 2.81, 2.48, 1.67, 1.97, 4.05, 3.13, 3.05, 
##     3.56, 2.62, 2.54, 2.48, 1.86, 2.62, 2.78, 0.54, 2.4, 2.94, 
##     3.16, 4.19, 3.05, 1.46, 4.1, 2.73, 3.24, 3.86, 2.35, 3.75, 
##     1.97, 2.73, 1.59, 3.29, 3.51, 2.4, 3.29, 2.94, 2.75, 2.89, 
##     1.13, 2.92, 2.51, 2.51, 3.02, 2.65, 1.49, 2.7, 2.46, 2.11, 
##     3.16, 3.73, 2.67, 3.19, 2.73, 3.83, 2.7, 2.24, 2.67, 2.59, 
##     2.94, 1.16, 2.97, 2.59, 2.97, 3.13, 3.24, 3.65, 4.64, 3.11, 
##     3.54, 2.65, 2.92, 2.38, 2.92, 1.08, 3.51, 3.05, 3.08, 3.16, 
##     2.65, 3.73, 1.51, 1.84, 3.21, 4.19, 2.16, 3.43, 2.75, 3.19, 
##     2.89, 2.48, 2.08, 2.54, 4.16, 1.57, 3.56, 2.24, 3.27, 2.19, 
##     4.62, 3.97, 2.59, 2.48, 1.22, 3.29, 2.27, 2.94, 3.13, 2.84, 
##     2.75, 2.73, 2.38, 2.03, 3.08, 2.84, 3.13, 2.57, 2.38, 2.84, 
##     4.46, 2.92, 3.62, 3.32, 2.97, 2.4, 2.16, 2.48, 3.83, 2.97, 
##     3.67, 1.84, 2.19, 2.86, 3.86, 2.67, 2.3, 2.7, 3.67, 1.78, 
##     4.05, 3.94, 1.97, 2.86, 2.08, 3.97, 2.59, 3.35, 2.11, 3.62, 
##     2.75, 2.43, 3.19, 2.73, 2.65, 2.32, 4.21, 3.21, 1.46, 2.67, 
##     3.08, 3.59, 2.35, 3.38, 2.19, 3.4, 2.73, 3.46, 2.03, 2.57, 
##     3.21, 1.43, 3.4, 2.4, 3.02, 3.05, 2.11, 2.62, 1.19, 1.38, 
##     3.48, 2.57, 4.59, 2.46, 1.65, 3.29, 2.94, 2.94, 2.46, 2.24, 
##     2.75, 2.11, 1.67, 3.62, 1.7, 1.4, 2.57, 0, 3.59, 3.4, 3, 
##     2.27, 2.75, 2.65, 2.24, 1.73, 3.05, 3.35, 3.21, 2.57, 2.62, 
##     2.89, 1.49, 3.11, 1.92, 1.73, 1.67, 3.4, 2.7, 3.05, 2.75, 
##     2.89, 2.32, 1.57, 2.13, 3.78, 2.19, 3.62, 3.11, 3.16, 3.48, 
##     2.13, 2.08, 3.35, 3.11, 2.43, 3.27, 3.43, 2.24, 2.43, 3.02, 
##     2.75, 2.21, 2.86, 2.84, 3.16, 2.05, 3.54, 4.21, 3.59, 2.84, 
##     2.81, 3.51, 2.32, 4.54, 3.24, 2.54, 2.46, 1.38, 2.94, 2.62, 
##     2.7, 3.08, 2.62, 4.86, 3.19, 1.76, 3.29, 2.51, 3.65, 3.32, 
##     2.27, 2.24, 2.08, 2.21, 3.24, 2.11, 2.24, 3.27, 3.81, 2.43, 
##     0, 3.21, 4.51, 3, 2.78, 3.4, 4.59, 2.4, 3.27, 2.86, 3.16, 
##     2.46, 3.19, 2.35, 3.92, 2.67, 2.38, 2.89, 3.46, 2.84, 1.59, 
##     2.38, 4.05, 2.81, 3.7, 2.65, 5, 2.57, 1.76, 3.59, 3.89, 2.21, 
##     2.62, 2.62, 2.05, 2.3, 2.08, 2.73, 3.05, 2.67, 2.54, 2.32, 
##     2.81, 2.11, 1.54, 3.38, 2.65, 3.16, 2.89, 2.73, 2.62, 3.94, 
##     3.02, 3.78, 2.84, 3.48, 4.4, 2.89, 3.59, 3.13, 2.65, 1.78, 
##     2.24, 3.56, 1.59, 1.89, 3.7, 2.59, 3.54, 3.48, 2.24, 3.19, 
##     2.16, 4.56, 3.51, 3.54, 3, 3.48, 2.24, 2.89, 2.21, 2.57, 
##     3.89, 3.86, 3.89, 3.43, 2.08, 2.7, 2.81, 1.3, 1.86, 3.35, 
##     3.48, 2.73, 4, 3.24, 2.11, 4.08, 2.51, 3.13, 2.67, 2.51, 
##     3.05, 3.29, 2.59, 2.35, 2.13, 2.27, 2.86, 3.92, 3.54, 2.92, 
##     3.38, 3.21, 1.67, 2.73, 2.67, 3.81, 3.81, 2.35, 3.59, 1.7, 
##     3.81, 2.46, 2.48, 3.16, 2.59, 2.32, 2.03, 3.4, 2.3, 3.48, 
##     2.21, 3.78, 3.35, 2.48, 2.54, 3.43, 2.86, 3.27, 4.24, 3.73, 
##     2.48, 1.54, 2.27, 3.35, 3.35, 3.46, 2.89, 2.75, 2.48, 2.57, 
##     3, 0.59, 1.54, 3.97, 3.97, 3.35, 2.67, 1.84, 2.59, 2.97, 
##     2.7, 3.02, 3.24, 2.65, 3.29, 2.94, 2.24, 2.13, 2.89, 1.73, 
##     2.81, 3.62, 3.13, 3.59, 1.65, 1.86, 4.56, 2.75, 2.27, 1.62, 
##     1.13, 2.86, 3.83, 2.3, 1.3, 3.35, 2, 2.94, 3.51, 4.46, 3.65, 
##     2.86, 3.35, 2.65, 2.48, 3.13, 2.43, 3.56, 2.81, 2.13, 2.67, 
##     2, 2.86, 1.4, 3.51, 4.21, 2.35, 3.05, 3.29, 2.19, 3.46, 2.46, 
##     4.37, 3.32, 3.78, 3.62, 3.94, 3.46, 2.03, 3.59, 3.56, 3.78, 
##     2.67, 3.27, 2.94, 3.05, 3.16, 2.57, 3.21, 2.94, 3.08, 2.54, 
##     3.13, 2.67, 3.89, 4.32, 2.11, 3.54, 2.97, 1.81, 2.75, 3.75, 
##     3.21, 1.16, 2.78, 1.86, 4.1, 2.94, 3.67, 3, 2.48, 2.24, 2.59, 
##     2.3, 3.08, 2.67, 4.02, 3.27, 3.48, 2.54, 2.32, 2.57, 2.86, 
##     2.84, 3, 2.78, 2.03, 3.59, 3.19, 3.62, 3.35, 1.92, 3.29, 
##     0.95, 2.4, 2.78, 2.05, 2.46, 1.81, 2.84, 3.73, 2.67, 2.4, 
##     2.24, 2.67, 3.11, 3.89, 2.81, 3.19, 3.78, 1.73, 1.67, 2.27, 
##     2.11, 2.65, 3.27, 3.32, 1.92, 2.35, 3.29, 2.89, 3.27, 2.46, 
##     2.65, 2.19, 3.32, 2, 2.11, 3.24, 3.13, 2.08, 1.94, 0.92, 
##     3.24, 2.51, 3.16, 2.05, 4.21, 3.21, 2.97, 1.49, 2.65, 3.89, 
##     3.94, 1.89, 2.13, 2.92, 4.32, 3.83, 3.27, 2.51, 2.97, 1.92, 
##     2.48, 3.21, 2.84, 2.94, 1.97, 3.38, 2.92, 2.81, 3, 3.81, 
##     3.27, 2.73, 3.05, 2.43, 2.86, 1.86, 2.3, 3.24, 2.57, 3.4, 
##     2.84, 2.67, 2.54, 3.24, 2.24, 2.43, 4.37, 1.78, 2.89, 3.21, 
##     1.86, 4.48, 2.59, 1.38, 2.84, 2.75, 2.78, 2.43, 4.08, 2.67, 
##     3.56, 2.35, 3.32, 2.97, 4.16, 3.08, 3.43, 3.11, 3.51, 2.4, 
##     3.27, 2.08, 2.62, 2.89, 1.97, 2.81, 2.75, 2.81, 1.38, 3.38, 
##     2.13, 2.94, 3.4, 2, 1.76, 2.94, 2.05, 2.46, 2.89, 3.51, 3.48, 
##     3.11, 3.13, 3.4, 2.62, 3.56, 4.24, 3.13, 2.67, 2.05, 3.11, 
##     2.03, 3.43, 3.11, 3, 2.86, 1.62, 1.4, 2.51, 3.19, 3.05, 2.62, 
##     2.03, 2.92, 1.51, 1.89, 2.65, 3.29, 2.57, 1.32, 2.4, 2.03, 
##     2.97, 4.35, 2.92, 2.94, 1.89, 1.81, 1.81, 2.78, 3.7, 3.02, 
##     1.94, 3, 2.38, 2.65, 2.43, 1.86, 2.86, 2.54, 3.62, 1.51, 
##     2.05, 3.02, 3.29, 2.86, 2.51, 2.13, 2.65, 3.08, 3.59, 1.89, 
##     3.4, 2.62, 2.13, 3.21, 1.73, 2.4, 2.54, 1.32, 3.46, 3.27, 
##     3.08, 0, 1.27, 2.7, 2.84, 2.35, 2.51, 2.24, 1.57, 2.21, 2.81, 
##     3.11, 2.51, 3.86, 2.86, 2.81, 3.73, 4.91, 2.81, 3.59, 2.81, 
##     3.24, 3.65, 2.84, 2.38, 2.92, 2.94, 2.54, 1.43, 1.32, 3.51, 
##     1.57, 3.11, 2.32, 3.97, 3.08, 3.16, 2.57, 3, 2.65, 1.43, 
##     3.48, 3.08, 3.27, 2.62, 2.67, 3.54, 3.16, 2.59, 2.59, 2.65, 
##     3.29, 4.91, 1.4, 2.97, 2.89, 3.02, 3.38, 1.94, 3.89, 2.03, 
##     3, 1.35, 1.13, 2.13, 2.92, 3.16, 2.51, 3.29, 3, 4.13, 0.65, 
##     3.43, 2.4, 3.81, 2.65, 2.38, 3.59, 3.29, 3.59, 2.21, 2.86, 
##     3.21, 3.11, 2.38, 2.4, 2.94, 2.51, 3, 2.62, 3.24, 2.86, 1.94, 
##     2.43, 2.62, 3.48, 3.54, 2.38, 1.84, 2.35, 2.62, 1.73, 2.81, 
##     3.92, 2.75, 1.59, 2.11, 1.73, 2.16, 2.43, 1.92, 2.03, 2.48, 
##     3.16, 2.19, 2.3, 2.35, 2.48, 1.94, 1.7, 3.21, 3.16, 3.48, 
##     3.51, 2.7, 3.02, 2.08, 2.43, 2.24, 3.08, 2.89, 3.75, 2.08, 
##     2.57, 3.92, 2.51, 1.4, 2.94, 2.51, 3.27, 2.73, 3.32, 3.51, 
##     2, 2.57, 2.16, 3.11, 2.7, 2.35, 2.46, 3.97, 4.05, 3.29, 1.97, 
##     1.7, 2.11, 2.59, 2.97, 3, 1.92, 2.54, 2.3, 2.16, 2.46, 2.43, 
##     2.94, 2.27, 2.75, 3.43, 2.21, 2.57, 2.19, 0.84, 3.7, 3.19, 
##     3.67, 2.92, 3.89, 1.97, 2.57, 4.86, 2.94, 2.89, 3.97, 3.27, 
##     3.81, 4, 3.16, 3.4, 2.89, 1.05, 2.48, 2.13, 1.78, 2.86, 2.86, 
##     3.81, 3.13, 1.24, 3.56, 4.24, 2.21, 1.51, 1.92, 2.35, 3.81, 
##     2.97, 3.19, 2.86, 2.57, 3.59, 2.24, 1.78, 2.27, 3.19, 3.16, 
##     1.89, 2.62, 3.65, 3.11, 3.73, 3.13, 3.67, 2.81, 3, 2.97, 
##     3.67, 2.81, 3, 2.92, 2.43, 3.78, 2.16, 3.24, 2.46, 2.13, 
##     1.94, 3.92, 3.05, 1.78, 1.19, 3.24, 3.27, 2.11, 2.65, 2.43, 
##     3.75, 4.16, 1.78, 3.54, 2.78, 3.02, 2.27, 3.02, 3.16, 2.92, 
##     2.03, 3.67, 3.08, 2.13, 3.02, 2.05, 1.92, 2.94, 3.35, 2.19, 
##     3.59, 2.67, 3.46, 2.48, 2.89, 3.16, 2.57, 2.54, 3.73, 2.48, 
##     3.29, 2.86, 3.43, 2.03, 2.81, 3.7, 3.67, 3.16, 3.56, 3, 2.11, 
##     2.78, 2.94, 2.78, 2.78, 4.08, 3.05, 3.89, 3.27, 2.84, 3.08, 
##     3.21, 3.02, 3, 3.29, 2.11, 1.4, 3.62, 3.02, 2.4, 4.19, 2.51, 
##     2.32, 0, 3.38, 1.24, 2.35, 3.86, 1.24, 3.65, 2.59, 3.19, 
##     2.86, 3.56, 2.57, 2.78, 3.38, 3.32, 3.35, 3.48, 3.08, 3.43, 
##     2.86, 2.19, 2.51, 3.08, 1.38, 3.05, 2.3, 1.94, 3.08, 2.21, 
##     1.05, 2, 2.4, 1.97, 3.78, 1.86, 4.81, 2, 3.51, 3, 1.11, 2.57, 
##     3.78, 5.4, 1.59, 3.13, 2.84, 3.13, 2.21, 2.78, 2.57, 2.84, 
##     2.78, 2.43, 1.84, 2.46, 2.54, 3.11, 2.27, 2.89, 2.48, 4.56, 
##     3.51, 3.21, 1.73, 2.86, 1.92, 2.65, 4.32, 3.97, 2.13, 3.81, 
##     2.13, 2.46, 1.24, 2.32, 3.29, 1.62, 1.94, 3.54, 2.81, 4.27, 
##     1.51, 2.38, 2.62, 3.46, 2.19, 3.81, 4.02, 2.73, 2.03, 2.4, 
##     3.05, 3.27, 2.3, 1.73, 2.11, 1.94, 3.02, 2, 2.81, 2.7, 3.21, 
##     3.11, 3.35, 2.16, 2.46, 3.21, 3, 2.05, 2.75, 2.73, 3.08, 
##     3.4, 4.1, 2.75, 2.89, 2.78, 3.59, 2.57, 2.24, 1.3, 2.21, 
##     2.43, 2.16, 2.65, 3.48, 2.13, 2.67, 2.81, 3.73, 2.05, 3.48, 
##     3.59, 3.21, 2.08, 2.62, 3.13, 2.4, 1.27, 3.11, 2.43, 1.54, 
##     0, 3.24, 3.08, 0.54, 1.27, 0, 3.7, 2.08), c(240.7, 258.7, 
##     185.8, 126.7, 172.5, 122, 153.7, 176.6, 189.8, 143.6, 216.1, 
##     187.5, 83.2, 176, 251.5, 133.9, 209.4, 165.3, 190.4, 119.6, 
##     181.2, 174.8, 234.8, 224, 99.4, 124.8, 221.7, 221, 273.8, 
##     215.5, 71.2, 184.7, 186.5, 183.6, 207.2, 78.1, 164.9, 166.8, 
##     197, 180.7, 150, 153.5, 140.4, 147.8, 150.5, 272.4, 195.7, 
##     175.5, 170, 211.7, 198.4, 174.5, 177.1, 211.7, 184.2, 162.3, 
##     227.8, 146.7, 158.5, 140.6, 151, 203.1, 107.2, 198.6, 110.4, 
##     137.3, 246.4, 209.1, 70.9, 217.9, 124.1, 131.9, 94.9, 188, 
##     214.2, 166.7, 94.2, 247.5, 197.2, 137.1, 228.4, 268.4, 131.9, 
##     317.8, 302.7, 160.5, 193.9, 137.5, 267.1, 115.8, 198.6, 232.9, 
##     154, 288.1, 226.6, 180.1, 193.3, 55.5, 122.4, 237.1, 143, 
##     141.3, 145.6, 152.8, 112.5, 230.2, 184.4, 191.8, 212.5, 200.2, 
##     184, 197.8, 183.6, 194, 159.5, 195, 186.9, 171.2, 285.3, 
##     136.3, 168.6, 134.3, 183.4, 60.2, 151.5, 61.6, 237.1, 267.9, 
##     102.1, 276.1, 139.6, 137.3, 208.7, 123.1, 129.6, 144, 214.3, 
##     173.1, 230.5, 159.3, 191, 119.9, 234.1, 235.5, 294.7, 112.6, 
##     268, 198.7, 172.9, 229.4, 183.9, 197.8, 288.8, 180.5, 259.4, 
##     270.9, 219.9, 198.8, 165.3, 251.6, 141.9, 155.4, 147, 261.8, 
##     198.2, 224.7, 270, 160.5, 133.8, 126.8, 253.2, 283.1, 156.3, 
##     167.8, 130.2, 197.9, 148.4, 194.4, 148.7, 253.7, 78.6, 144.3, 
##     121.9, 179.2, 160.9, 152.1, 157.4, 172.8, 116.2, 217.1, 203.4, 
##     160.3, 169.9, 312.4, 18.9, 137.4, 138.1, 198.8, 174.8, 195.1, 
##     113.6, 180, 172.1, 172.5, 225.7, 245, 257.7, 173.2, 215.2, 
##     152.9, 169.2, 221.9, 145.6, 143.8, 264.2, 102.2, 129.4, 202.2, 
##     156.6, 111.9, 244.8, 50.1, 178.7, 99.8, 150.5, 156.6, 80.7, 
##     102.7, 200.2, 145.8, 193, 225.3, 190.5, 160.8, 247.1, 163.2, 
##     211.9, 190.3, 287.1, 200.5, 162.6, 107.2, 185.7, 137.8, 143.6, 
##     182.3, 139.8, 217.9, 161.6, 131.8, 149.8, 167, 126.4, 131.5, 
##     226.9, 159.7, 160.7, 72.8, 213, 104.9, 190, 84.2, 242.2, 
##     130.5, 193.4, 155.5, 75, 217, 120.1, 249.6, 159.5, 187.8, 
##     78.3, 234.3, 183.4, 215.5, 159.3, 153.7, 252.8, 187.6, 192.8, 
##     236.2, 143.2, 152.9, 114.4, 100, 210.7, 128.5, 169.7, 194.1, 
##     189.1, 192.6, 134.5, 219, 195, 154.6, 184.5, 227.7, 321.3, 
##     151.8, 177.8, 206.9, 193.4, 131.3, 258.8, 273.8, 138.7, 203.9, 
##     221.4, 61.2, 169.7, 259.3, 118.9, 249.8, 289.8, 145, 225.7, 
##     187.4, 29.9, 96.9, 128.2, 168.8, 274.7, 115.1, 156.8, 214, 
##     157, 179.1, 235, 111.3, 205.7, 104.7, 153.6, 174.5, 222.3, 
##     160.1, 175.4, 97.9, 130.5, 270, 156.5, 240.8, 183.9, 174.1, 
##     240.1, 242.4, 197.6, 139.7, 225.2, 294.7, 164.1, 171.5, 237.1, 
##     155.7, 134.2, 142.9, 274, 187, 206.1, 226.6, 140.8, 163.5, 
##     106.4, 155.9, 177.1, 177.4, 213.5, 128.6, 107.9, 200.4, 187.2, 
##     219.4, 98.9, 153.4, 197.7, 222.4, 183.2, 271, 264.3, 67.4, 
##     129.6, 211.8, 175.9, 109.8, 209.9, 236.5, 228.2, 113.8, 160.6, 
##     137.5, 92.2, 212.3, 169.6, 192.6, 137.3, 245.1, 82.5, 217.1, 
##     193.3, 115.9, 204.4, 134.2, 234.8, 150.1, 156.6, 136.6, 131.2, 
##     135.7, 168.8, 209.8, 159.1, 222.3, 148.5, 175.9, 106.4, 222.4, 
##     176.2, 118.4, 156.4, 93.8, 159.5, 286.7, 111.2, 203.3, 314.6, 
##     147.1, 214, 165.4, 150.5, 205.9, 179, 181.1, 212.1, 131.7, 
##     335.5, 277.3, 255.3, 202.9, 110.5, 326.1, 137.6, 269.2, 227.9, 
##     179.4, 107.3, 163.8, 112.2, 166.5, 196.6, 167.7, 241.7, 161.2, 
##     298.1, 154.1, 231.1, 191.9, 153.6, 165.4, 202.6, 101.2, 180.6, 
##     220.7, 171.9, 184.2, 109.1, 195.6, 211.5, 97.8, 155.4, 116.4, 
##     300.4, 169.3, 135.2, 221.3, 177.9, 188.4, 175.4, 198.1, 181.8, 
##     153.1, 132, 154.4, 170.4, 107.8, 167.2, 136.7, 140, 140.8, 
##     194.3, 290.1, 243.1, 198.3, 204.5, 156.1, 170.5, 158, 272.4, 
##     236.6, 136.1, 274.7, 182.6, 124.3, 183.4, 146.4, 246.5, 224.6, 
##     142.3, 86.4, 125.1, 41.9, 301.4, 193.1, 141.4, 173.2, 220.3, 
##     187.5, 180.4, 251.4, 236.1, 105.7, 135, 205.6, 154.6, 257.1, 
##     238.9, 143.3, 128.1, 227.9, 168.1, 205.3, 188.3, 140.8, 201.8, 
##     135.1, 85.2, 194.8, 181.5, 174.5, 206.2, 129.9, 113.9, 207.1, 
##     200.1, 229.8, 172.2, 168.6, 179.2, 128.1, 115.4, 220.8, 127.5, 
##     222.1, 114.4, 208.1, 175.6, 214.6, 147.1, 185, 143.5, 287.4, 
##     252.4, 260.9, 109.8, 176.8, 261.4, 247.6, 254.6, 211.3, 192.8, 
##     157.5, 147.7, 102.2, 161.4, 98.2, 104.9, 254.1, 288.2, 221.1, 
##     198.3, 70.7, 64.9, 254.4, 190.9, 103.3, 179.8, 181.9, 272.6, 
##     179.1, 148.7, 137, 151.1, 222.3, 83.2, 103, 135.9, 230.7, 
##     78.2, 122.5, 131.1, 129.4, 225.8, 65.4, 195.3, 179.2, 162.1, 
##     194.5, 173.2, 207.2, 178.9, 325.5, 198.1, 210.9, 159.8, 180, 
##     158.2, 154, 224.2, 129.6, 206.3, 123.8, 226.2, 164.8, 215.5, 
##     190.2, 224.4, 187.4, 178.1, 247, 152.2, 178.2, 237.8, 245.8, 
##     168.7, 100.1, 122.2, 90.5, 189.9, 212.8, 240, 323.7, 229.2, 
##     108.6, 204.6, 124, 138.1, 165.1, 201.2, 184.7, 210.9, 218.9, 
##     134.9, 178.4, 213.8, 200.4, 268.4, 107, 99.6, 143.6, 225.7, 
##     238.1, 274.9, 131.6, 181.2, 217.7, 294.9, 198.9, 176.5, 97.9, 
##     203.4, 124.8, 159.7, 116.1, 216.8, 190.7, 186.1, 156.2, 162.6, 
##     173.7, 153.3, 167.8, 314.1, 145, 179.4, 89.8, 185.1, 54, 
##     175.2, 169.3, 66.7, 157.5, 254.9, 7.8, 129.5, 67.7, 156.5, 
##     217.5, 41.2, 192.8, 252, 127.6, 267.5, 117.3, 230.7, 89.5, 
##     128.7, 134.9, 136.9, 141.5, 217.2, 109.4, 299.4, 195.8, 126.3, 
##     52, 143.5, 124.3, 262.1, 216, 116.4, 191.3, 163, 76.4, 217.8, 
##     237.7, 102.8, 195.9, 105.2, 145.6, 161.5, 223.6, 191.4, 209.4, 
##     192.1, 201.2, 309.4, 241.7, 284, 247.2, 108.1, 103.4, 55.3, 
##     129.1, 195.4, 119.4, 224.1, 238.9, 183, 204.2, 176.9, 247.5, 
##     83, 107.5, 103.7, 198.4, 189.6, 123.7, 185.6, 213.8, 287.1, 
##     108.3, 212.4, 223.8, 225.6, 173.4, 221.4, 158.2, 173, 218.5, 
##     152.4, 192, 132.1, 232.4, 109, 242.5, 181.8, 116.9, 206.4, 
##     119, 151.2, 275.4, 147.8, 211, 182.3, 129.5, 118.9, 220.7, 
##     215.8, 196, 252.9, 154.3, 131.5, 155, 222.9, 138.9, 219.6, 
##     227.9, 138.3, 161.2, 144.6, 199.9, 172.6, 178.7, 189.1, 183.6, 
##     177.9, 199.1, 221.8, 254.7, 212.1, 216.8, 162.4, 221, 166.3, 
##     246, 150.5, 191.5, 276.9, 189.1, 209.8, 251.5, 200.3, 119.3, 
##     203.5, 233.8, 218.2, 166.4, 195.4, 197.7, 146.7, 191.9, 180.4, 
##     252, 138.1, 204.6, 82.3, 185.6, 183.4, 107, 121, 193.1, 277.7, 
##     169.3, 223.2, 214.4, 111.4, 167.3, 134.4, 162.3, 106.7, 144.4, 
##     208.4, 192.9, 99.9, 239.5, 115.5, 227, 218.5, 109.4, 262.9, 
##     266.6, 203.8, 141.9, 220.9, 193.1, 176.9, 221, 270.3, 154.4, 
##     157, 143.1, 232.5, 216.8, 234.8, 158.7, 157.1, 148.8, 213.9, 
##     135.8, 137.6, 176.1, 312.4, 247.8, 96, 195.6, 148.5, 44.9, 
##     251, 203.1, 216.2, 175.5, 284.6, 325.4, 104.7, 197.8, 271.7, 
##     188.9, 209.1, 177.2, 208.4, 194.4, 225.9, 237.5, 114.5, 193.8, 
##     125.4, 210.6, 153.2, 152.9, 242.2, 173.9, 169.2, 177.7, 179.7, 
##     225, 175.5, 175.9, 141.1, 70.7, 204.1, 115.9, 228.7, 145.5, 
##     198.7, 268.1, 193.1, 154, 259.4, 203.6, 206.9, 129.3, 217.6, 
##     208.9, 232.8, 127, 221, 127.4, 145.4, 187.6, 246.6, 187.4, 
##     123.1, 139.6, 153.8, 217.2, 159.8, 197.3, 182.9, 252.9, 265.1, 
##     153.8, 69.1, 201.8, 165, 168, 264.8, 95.5, 255.1, 178.5, 
##     133.9, 95.4, 273.5, 143.2, 190.8, 216.3, 153.8, 260.2, 106.1, 
##     174.7, 178.2, 194.5, 219, 214.8, 193.2, 265.6, 174.4, 196.5, 
##     240.8, 177.9, 132.4, 247.6, 110.2, 260, 120.7, 148.2, 268.5, 
##     168.2, 276.1, 197.7, 135.8, 128.3, 201.5, 244.9, 185, 150, 
##     184.5, 123.2, 151.2, 152.1, 160.6, 136, 230.4, 108.2, 239, 
##     150.6, 162.5, 136.8, 197, 225.4, 198.3, 239.7, 94.8, 198.5, 
##     177.8, 149.8, 171.7, 132, 111.7, 25.9, 114.8, 279.9, 303.9, 
##     150.4, 234.2, 154.7, 159.8, 198.3, 176.6, 172.2, 163, 213.8, 
##     209.2, 82.2, 163.4, 197.2, 223.8, 71.5, 153.2, 218.7, 185, 
##     114.5, 175.4, 209.3, 242.4, 173, 177.2, 192.1, 86, 210.7, 
##     206.2, 30.9, 231.5, 161.6, 228.6, 189, 140.1, 209.9, 160.1, 
##     96.5, 76.1, 174.3, 84.9, 116.9, 261.2, 167.6, 298.4, 199.3, 
##     202.3, 236.9, 136.6, 77.6, 92.7, 136.7, 118.5, 204.2, 167.5, 
##     199.7, 161.6, 197.4, 286.2, 149.9, 281.1, 209.1, 203.9, 274.4, 
##     213.6, 202.6, 129.3, 181.3, 156.3, 239.2, 201.9, 201.9, 197.4, 
##     209.6, 239.6, 207, 121.5, 35.1, 127.3, 200.7, 175.7, 201.9, 
##     163.8, 193.7, 346.8, 104, 112.1, 185.8, 182.7, 165.4, 113.9, 
##     190.9, 265.7, 179.4, 245.3, 194.8, 129.2, 231.2, 204.5, 167.7, 
##     189.7, 207, 62.4, 276.7, 172.5, 47.4, 192.6, 235.5, 158.1, 
##     115.4, 126.8, 101, 222.8, 140.9, 74.3, 189.3, 210.5, 114.8, 
##     210.4, 226.3, 245, 187.9, 165.8, 121.1, 164.5, 118.1, 273.8, 
##     150, 159.1, 196.1, 178.7, 274.3, 216.9, 94.1, 313.2, 218.7, 
##     139.3, 248.2, 163.6, 178.7, 243.2, 206.3, 214.8, 203, 203.5, 
##     287.3, 181.7, 189.3, 158.2, 236.7, 222.3, 259.6, 195.4, 158.3, 
##     261.3, 212.4, 186.1, 130.5, 240.2, 138.8, 227.1, 114.3, 186.2, 
##     186.8, 298.1, 256.4, 169.5, 179.9, 128.7, 250.5, 140.1, 231.6, 
##     166.9, 241.4, 187.8, 186.1, 112.7, 156.5, 154, 103.3, 107.9, 
##     227.2, 217.2, 47.8, 222.8, 195.6, 176.1, 160.3, 227.4, 87.7, 
##     106.1, 176.4, 130.2, 235.6, 261.3, 226.6, 291.8, 170.1, 151.1, 
##     227.5, 226.4, 170.4, 136.1, 215.4, 174.1, 217.2, 181.4, 185, 
##     221.6, 155.9, 208.5, 111.9, 145.9, 238.6, 168.6, 172.4, 164.3, 
##     125.5, 234.2, 191.7, 178.3, 179.2, 157.1, 207.3, 153.2, 89.7, 
##     138.7, 189.8, 147.6, 198.5, 181.6, 117.8, 202.6, 198.5, 178, 
##     232.7, 235.6, 97.1, 245.2, 117.2, 239.4, 321.6, 184.1, 151.5, 
##     209.6, 204.5, 271.9, 286.6, 139.6, 62.8, 197, 155.4, 101.9, 
##     208.3, 190.7, 224.3, 105.9, 256.4, 161, 169.6, 231.7, 128.2, 
##     189.5, 203.8, 152.4, 193, 130.7, 228.6, 181.1, 83.8, 139.1, 
##     228.6, 143.9, 182.8, 202, 143.6, 96.3, 221.4, 281.2, 139.6, 
##     205.5, 168.9, 151.8, 239.7, 123.3, 226.6, 236.8, 220.2, 155.7, 
##     167.9, 263.4, 143.7, 206.6, 92.3, 257.3, 159.7, 248.6, 118.5, 
##     214.3, 232.4, 117.8, 181.3, 197.3, 188.8, 157.3, 125.9, 174, 
##     155.5, 190.6, 246.2, 217.8, 204.7, 244.7, 213.2, 202, 68.8, 
##     262.2, 135.2, 304.6, 174.2, 198.2, 242.1, 185.3, 205.2, 126, 
##     70.9, 132, 197, 224.9, 208.3, 79.5, 75.3, 151.2, 103.2, 185.9, 
##     204.2, 211.4, 102.4, 252.1, 147.8, 174.8, 51.5, 156.7, 64.6, 
##     143.8, 151.4, 157.6, 208.9, 207.5, 163.2, 127, 221.6, 211.3, 
##     120.5, 196.1, 252.7, 207.2, 153.7, 227.4, 199.2, 189.4, 121.3, 
##     233.3, 99.3, 157.3, 264.5, 169.5, 52.2, 130.2, 180.1, 140.7, 
##     175.3, 190.5, 241.3, 194.8, 12.5, 168.6, 167.8, 146.5, 221.4, 
##     70.9, 162.1, 127.1, 264.4, 82.3, 149.4, 249.8, 156.9, 196.8, 
##     157.9, 106.6, 157.7, 308, 101.8, 146.3, 141.1, 203.5, 223.7, 
##     175.2, 296.4, 200.1, 161.3, 204.9, 182.4, 187.8, 194.7, 155.2, 
##     111.8, 157.8, 186.9, 167.3, 146.7, 201.5, 189.8, 145.4, 153.7, 
##     141.4, 161.1, 116.7, 237.2, 146, 134.7, 183.2, 191.3, 168.5, 
##     149.7, 197.3, 191.7, 232.1, 208, 154.4, 113.7, 97.2, 197.2, 
##     140.6, 130.5, 189.8, 83.4, 223.3, 172.3, 131.7, 163.6, 163, 
##     263.4, 200.6, 259.7, 90, 241, 162.8, 180.6, 230.7, 200.5, 
##     146.3, 208.8, 180.3, 176.3, 220.1, 155.2, 265.5, 84.8, 194.8, 
##     191.2, 87.7, 214.9, 189.4, 173.2, 175.4, 262.2, 119.6, 167, 
##     249.9, 170.7, 141.7, 219.7, 191.3, 197.8, 220, 184.5, 143.3, 
##     171.8, 93.4, 222.8, 97.2, 221.7, 117.9, 145.4, 161.2, 263.1, 
##     259.8, 168.6, 179.3, 184.2, 192.1, 238, 215.9, 202.1, 252.9, 
##     143.7, 193.6, 251.3, 187.1, 205.3, 113.3, 127.3, 217.4, 219.2, 
##     160.6, 143.3, 236.3, 212.3, 148.6, 180.5, 256.5, 191.7, 166, 
##     81.6, 164, 117.8, 201.4, 165.1, 118.1, 191.3, 168.4, 245, 
##     127.2, 216.6, 184.8, 121.7, 180.1, 142.6, 96.8, 158.7, 270.8, 
##     278.4, 177.4, 261.2, 220.4, 207.2, 128.6, 214.6, 125.3, 127.1, 
##     166.4, 170.6, 297.8, 119.1, 135, 135, 183.6, 207.8, 186.8, 
##     185.1, 232.9, 95, 208.8, 165.8, 173.5, 222.2, 147.1, 72.8, 
##     125.2, 157.5, 120.5, 245.5, 227.8, 131.8, 209.7, 98.2, 141.1, 
##     267.8, 225.6, 174.7, 195.9, 207.2, 117.6, 183.4, 151, 176.3, 
##     165.9, 161.1, 169.9, 147.3, 215.9, 103.2, 170.4, 226, 181.5, 
##     90.4, 189.5, 159.1, 213.4, 17.6, 227.4, 148.6, 139.7, 207.1, 
##     191.4, 156.8, 175.7, 166.9, 101.1, 168.9, 157.5, 214.6, 159, 
##     190.9, 165.7, 271.1, 264.3, 166.4, 195.7, 149.7, 261.4, 143.1, 
##     202.9, 190.2, 167.4, 140.2, 183.4, 239.2, 174.6, 181.5, 236.3, 
##     124.3, 124.7, 228.3, 246.4, 94.3, 215.6, 225.2, 102.1, 218.9, 
##     180.1, 136.1, 73.3, 92.3, 140.6, 125.5, 55.6, 129.5, 273, 
##     293.4, 167.3, 142.5, 119.4, 269.8, 198.4, 211.7, 222.4, 174.9, 
##     170.6, 167.9, 230.9, 161, 239.1, 105, 220.9, 210.2, 183.1, 
##     168.6, 193.5, 234.6, 248.9, 101.5, 231.4, 133.3, 134.3, 162.5, 
##     219.1, 202.4, 239.3, 189.5, 193.8, 188.3, 241.7, 158.8, 249.9, 
##     234.9, 272.2, 322.3, 213, 179, 162.3, 171.7, 133.1, 162, 
##     229.3, 180.5, 155, 223.2, 162.8, 229.6, 104, 170.3, 226.1, 
##     196, 165.4, 147, 158.1, 190.4, 166.7, 149.2, 147.8, 131.6, 
##     228.1, 155.2, 130.4, 267.9, 207.7, 274.1, 211.9, 243.7, 69.4, 
##     173.6, 224.7, 245.3, 286.4, 160.4, 149, 223.9, 127.2, 170.8, 
##     214.2, 192.2, 187.5, 141.3, 128.3, 221.4, 189, 192.8, 159.9, 
##     176.2, 192.3, 196.1, 220.7, 235.8, 229.7, 193.7, 157.1, 244.5, 
##     121.8, 205.3, 245.5, 201.4, 92.8, 307.2, 141.8, 194.2, 200.6, 
##     172, 226.4, 257.4, 132.3, 230, 172, 152.6, 206.2, 167.4, 
##     266.7, 134.9, 243.8, 86.5, 179.1, 187.7, 127.9, 262.3, 144.2, 
##     142.3, 175.7, 158.9, 191.8, 146.8, 165.7, 87.6, 138.6, 247.8, 
##     135.7, 193, 173.9, 180.2, 176, 218.5, 183.8, 83.5, 283.9, 
##     177.4, 118.6, 115.6, 252.1, 124.2, 203.4, 286.6, 253.5, 216, 
##     158.1, 143.7, 206, 196, 231.9, 139.2, 128.3, 135.2, 169.4, 
##     135.1, 186.2, 153.5, 143.2, 201.9, 222.7, 195.2, 88.5, 232.8, 
##     101, 211.3, 245, 208, 208.3, 140.3, 133.2, 50.6, 156.4, 184.8, 
##     223.2, 219.2, 236.3, 130.9, 141.2, 111.3, 165.4, 175.1, 234.4, 
##     195, 111.2, 178.3, 182.8, 205.5, 193.8, 165.3, 151.6, 113.1, 
##     146.3, 155, 206, 134.7, 119.2, 121.6, 184.1, 182.1, 174.9, 
##     175.9, 239.7, 213.4, 266, 93.6, 92.4, 146.1, 170.8, 160, 
##     194.8, 228.3, 229.2, 166.2, 162.6, 176.9, 270.5, 194.2, 114.8, 
##     305.2, 126.3, 230.7, 221.8, 145, 157.8, 132.2, 106.4, 235.6, 
##     229.9, 220.6, 192.3, 286.6, 222.6, 179.2, 281.1, 129.4, 121.7, 
##     154.5, 159, 136.4, 109.4, 197.1, 230.6, 220.8, 217.7, 131.2, 
##     73.7, 84.7, 90.6, 141.6, 224.5, 141.3, 172.7, 138.4, 125.6, 
##     184.6, 150.9, 124.8, 187, 263.8, 197.5, 237.1, 240.2, 245.6, 
##     256, 157.1, 136.8, 194.4, 203.7, 93.3, 200.3, 230.4, 228.7, 
##     203.2, 154.4, 154.8, 176, 129.7, 159.6, 209.5, 120.5, 129.4, 
##     289.1, 234, 182, 145.4, 222.1, 259.9, 133.7, 81.4, 54.8, 
##     208.8, 195.1, 124.3, 197.6, 123.8, 117.6, 167.3, 198.8, 248.7, 
##     151.7, 229, 195.5, 174.1, 154.1, 176.7, 240.6, 326.3, 142.3, 
##     103.1, 332.1, 203.6, 181.9, 182.1, 123.6, 212.6, 209.8, 152.7, 
##     211.9, 216.7, 180.2, 122.3, 234.4, 209.2, 58.9, 147.3, 270.7, 
##     214.2, 91.1, 185.9, 264.7, 179.4, 175.8, 218.4, 196.2, 213.1, 
##     254.8, 237.5, 169.8, 135.4, 159.5, 157.4, 187.8, 191.9, 199.7, 
##     151.5, 153.4, 163.5, 110, 125.7, 150.8, 108.6, 164.1, 163.7, 
##     174.3, 121.6, 196.9, 216.2, 198.4, 196.7, 166.9, 130.8, 188.7, 
##     176.8, 167.1, 171.6, 213.6, 136.4, 109, 119.2, 280.4, 102, 
##     168.4, 69.1, 242.8, 239.8, 192.6, 139, 146.4, 156, 244.5, 
##     166.8, 153.5, 80.3, 160.2, 148.2, 210.3, 214.4, 222.8, 114.9, 
##     124.7, 225.5, 211.7, 265.9, 134.7, 133.4, 125.2, 195.2, 251.4, 
##     93.5, 82, 260.9, 272.8, 173.1, 134.5, 253.9, 130, 69.7, 143.3, 
##     237.2, 189.8, 242.5, 199.7, 131.2, 196.5, 199, 169.9, 181.2, 
##     204.5, 156, 213.8, 158, 58.9, 135.1, 181.5, 126.1, 118.3, 
##     189.3, 281.1, 177.1, 48.4, 193.8, 168.3, 223.2, 239.2, 182, 
##     200.2, 142.6, 232.1, 230.1, 208, 144, 241.9, 180.8, 132.3, 
##     180.6, 98.4, 207.7, 242.3, 198.8, 288.7, 191.3, 82.6, 248.6, 
##     165.2, 206.1, 186.6, 181.4, 282.3, 275.8, 139.8, 177.9, 208.7, 
##     157.3, 189.2, 220.5, 278.1, 154, 222.4, 264.4, 195.4, 240.8, 
##     120, 242.1, 190.3, 225.1, 243.4, 197.1, 127.1, 294.9, 166.5, 
##     174.5, 201.4, 166.1, 130.5, 102.9, 192.3, 217.7, 252.4, 110.3, 
##     277.5, 154, 212.1, 206.4, 183.6, 190.1, 68.5, 142.6, 222.8, 
##     171.5, 176.6, 158.7, 144.5, 143.7, 210.3, 303.2, 185.3, 111.9, 
##     216, 172.8, 195.2, 128.9, 111, 118.4, 213.4, 174.5, 309.9, 
##     133.3, 96.7, 215.6, 192.9, 189.1, 203.7, 180.7, 150.9, 113.2, 
##     88.8, 288.2, 212, 207.2, 261.7, 207, 113, 182.3, 131.5, 97, 
##     194.1, 105.8, 103.1, 143.7, 250.9, 244.3, 240.8, 179.9, 229.5, 
##     157.9, 120.8, 234.6, 49.9, 190.1, 180, 114.4, 185.3, 162.7, 
##     193, 105.6, 155.2, 267.9, 142.8, 108.6, 226.9, 171.6, 164.1, 
##     173.9, 162.6, 152.2, 194.3, 153.6, 115.5, 184.5, 143.5, 211.9, 
##     204.3, 159.4, 34.5, 304.2, 212.3, 136.1, 284.4, 196.2, 153.5, 
##     205.1, 125.5, 115.4, 128.7, 134.1, 136.8, 187.3, 120, 260.4, 
##     275.5, 207.3, 198.3, 200.2, 100.2, 165, 170.5, 80.8, 179.4, 
##     183.8, 205.2, 271.6, 81.7, 295.4, 157.6, 178.3, 163.5, 139.1, 
##     240.1, 233.6, 162.3, 225.9, 152.8, 191.9, 112.8, 115, 147.5, 
##     180, 169.7, 181.4, 130.1, 175.9, 142.3, 158.2, 175.4, 205.4, 
##     143, 171.5, 114.3, 244.1, 158.3, 200.3, 231.9, 153.5, 161.4, 
##     127.2, 202.5, 224.7, 145.6, 173.1, 129.4, 152.1, 172.5, 264.7, 
##     184.2, 101.1, 121.6, 290.5, 201.1, 222.1, 7.2, 268.4, 271.4, 
##     263.7, 214.8, 113, 148.5, 247.8, 236.6, 149.4, 215.5, 207.6, 
##     99.7, 157.3, 207.7, 81.3, 174, 190.3, 191.6, 146.5, 170.5, 
##     144.9, 189.1, 126, 124.1, 268.8, 133, 205.2, 239.6, 208.1, 
##     57.5, 150.4, 163, 202.6, 170.7, 101.9, 171.2, 109.1, 182.3, 
##     233.9, 160.9, 169.3, 185.9, 280.2, 125.8, 178.4, 91.7, 102.8, 
##     244.7, 212.7, 140.8, 54.7, 178.4, 189.3, 141.7, 238.9, 199.5, 
##     102.8, 219.3, 244.2, 109.1, 165.5, 164.2, 87, 204.4, 61.9, 
##     198.4, 110.4, 185.6, 259.9, 172.3, 142.1, 159.4, 297.4, 213.9, 
##     169.1, 237.9, 189.4, 278.9, 159.1, 161.6, 283.2, 166.5, 194.2, 
##     197.4, 115.3, 122.8, 184.2, 97.5, 160.4, 200.2, 184.8, 127.2, 
##     185, 215.7, 148.4, 183.4, 143.4, 279.8, 123.7, 202.2, 229.6, 
##     90.4, 153.2, 133.3, 110.5, 228.9, 159.4, 154, 175.3, 218.8, 
##     168.4, 190.8, 118.7, 127.7, 207.7, 227.4, 201.8, 189.5, 134.4, 
##     112.6, 134.3, 112.3, 146, 257.3, 272.5, 128.8, 194.4, 225.9, 
##     105.4, 222.9, 202.3, 240.7, 201.8, 199.2, 192.3, 188.8, 235.8, 
##     128.5, 162.1, 189.5, 157.4, 197, 183.1, 238, 157.9, 152.2, 
##     132.1, 134.2, 152, 175.4, 62.9, 100.8, 239.8, 208.7, 276.6, 
##     269.7, 165.2, 177.1, 118, 216.2, 211.2, 147.2, 161.7, 249.4, 
##     157.1, 133.5, 142, 250.8, 224, 200.3, 281.9, 160.4, 199.8, 
##     224.4, 195.5, 134, 216.7, 144.4, 290.4, 261.2, 201.1, 212, 
##     114.4, 243.5, 237.7, 168, 166.3, 189.7, 170.9, 230.6, 231.3, 
##     266, 200.6, 177.2, 140.3, 246.8, 230.2, 149.2, 231.2, 243.4, 
##     178.8, 212.7, 183, 216, 131.4, 98, 185.9, 101.4, 234.5, 255.9, 
##     163.8, 143.7, 199.3, 216.9, 265.9, 230.1, 160.2, 168.4, 211.9, 
##     164.6, 151.5, 198.5, 278.4, 160, 171.8, 142.3, 184.8, 253.6, 
##     221, 163.1, 223, 237.8, 126, 112.8, 237.3, 129.9, 246.5, 
##     179.5, 163.2, 290.5, 253.2, 34, 214.8, 254.3, 234.6, 98.5, 
##     143.3, 110, 166.2, 240, 89.1, 231.2, 0, 139.4, 47.7, 158.9, 
##     183.1, 131.9, 202.7, 210.1, 200.8, 275.9, 170.9, 164.8, 143.9, 
##     211.3, 278.3, 214.7, 219, 209.8, 138.1, 174.5, 130.1, 149.4, 
##     178, 244.2, 174.3, 135.5, 202.5, 236.2, 96.1, 192.1, 121.6, 
##     77.6, 131.6, 160.1, 117.6, 177.2, 142.7, 183.3, 147.7, 217.1, 
##     156.6, 203.9, 185, 166.6, 157.6, 179.6, 167.4, 258.4, 110.1, 
##     235.7, 104.6, 254.2, 203.1, 222.5, 211.1, 221.8, 263.4, 200.7, 
##     283.9, 293.3, 158.1, 149.3, 155.8, 197.9, 182.5, 196.5, 222.9, 
##     211.4, 112.9, 119.3, 211.1, 189, 160.3, 190.9, 216.2, 225.4, 
##     126.9, 254.1, 198.1, 249.4, 206.1, 166.5, 259.1, 160.6, 241.7, 
##     196.7, 128.8, 134.8, 161.9, 72.5, 158.4, 85.9, 256.8, 182.5, 
##     198.7, 86.3, 218.5, 167.6, 175.6, 149.6, 209.8, 164.9, 182.1, 
##     171.5, 103.6, 175.4, 161.3, 261.1, 205.9, 241.6, 134.6, 138.2, 
##     239.8, 171.2, 211.6, 95, 183, 140.1, 179.3, 96, 350.8, 141.4, 
##     234.1, 270.4, 141.5, 166.9, 157.9, 236.7, 186.2, 139.4, 128.6, 
##     200, 169.4, 193.3, 146.2, 180.9, 186.8, 254.4, 179.3, 234.1, 
##     146.4, 212.1, 188.8, 158.8, 202.1, 59.5, 299.5, 291.2, 210.6, 
##     215.4, 195.9, 180.5, 182.5, 223.3, 181.2, 110.5, 162.3, 177.2, 
##     194.6, 91.5, 82.1, 159.5, 0, 208.9, 181.4, 170.8, 126.3, 
##     209.4, 313.6, 63.3, 166.2, 142.1, 256.6, 77.8, 126.3, 250.3, 
##     176.1, 237.6, 193.1, 166.2, 193.2, 226.7, 212.3, 144.1, 149.3, 
##     142.2, 149, 150.1, 178.1, 155.1, 200.7, 249.5, 283.1, 109.1, 
##     285.7, 193.8, 203.2, 100.8, 172.1, 140.2, 191.3, 201.1, 219.5, 
##     209.9, 159.9, 161.8, 176.4, 210.7, 178.8, 264.3, 166.4, 186.4, 
##     235.4, 167, 214.1, 273.8, 272.2, 230.6, 269, 94.5, 124.9, 
##     221.3, 238.8, 172.3, 176.6, 160.1, 175.5, 115.6, 159.1, 204.8, 
##     174.7, 147.4, 271.5, 168.8, 124.8, 189.6, 198.8, 196.7, 154.5, 
##     214.7, 328.1, 169.4, 134, 220.1, 239.9, 157.9, 227.4, 266.1, 
##     161.6, 179.8, 179.1, 211.8, 245.7, 189.5, 194.2, 177.3, 237.3, 
##     74.5, 187.1, 185.4, 234, 228.4, 219.9, 261.9, 179.2, 216, 
##     245.5, 37.8, 138.7, 208.7, 164.5, 261.8, 154.1, 170.2, 206.7, 
##     46.5, 218.9, 174.1, 273.3, 225.9, 271.7, 180, 126.5, 208.5, 
##     170.1, 209.5, 94.9, 196.5, 186.8, 214, 130.1, 306.2, 190.6, 
##     190.5, 175.3, 221, 69.5, 210.4, 122.5, 139.9, 105, 144.3, 
##     169.4, 189.3, 166, 101.7, 109.7, 137.6, 86.8, 148.3, 182.6, 
##     182.7, 189, 179.4, 136.2, 2.6, 94.4, 195.9, 126.8, 73.8, 
##     154.8, 228.2, 212.8, 194.6, 141.7, 142.5, 194.4, 107.9, 268.6, 
##     165.1, 215.9, 211.4, 198.2, 247.6, 113.1, 129.3, 165.6, 110.8, 
##     163.7, 151, 125.7, 110.3, 258.3, 94.8, 262.9, 127.7, 129.8, 
##     190.8, 174.5, 109.1, 139.4, 196.6, 178.3, 196.8, 216.5, 232.2, 
##     274, 135.1, 162.1, 221.8, 226.3, 243.9, 158.6, 294.2, 193.3, 
##     94.1, 257.7, 105.3, 113.9, 298.8, 135.4, 245.8, 190.5, 199.2, 
##     137.8, 227.4, 149.8, 169.2, 208.4, 312, 190.6, 237.7, 133.1, 
##     121, 257.2, 149.3, 190.4, 267, 141.3, 184.5, 190.7, 177.3, 
##     132.7, 236.8, 260.8, 224.5, 234.5, 187.4, 148.3, 206.9, 167.1, 
##     125.2, 194.3, 114.5, 274, 205.2, 125.3, 177.1, 150.6, 174.4, 
##     95.9, 193.9, 119.3, 168.3, 171.2, 209.4, 198, 220.9, 183.1, 
##     155.3, 230.2, 182.6, 143.4, 224, 178.8, 58, 223, 221.6, 256.3, 
##     198.9, 179.4, 112, 184.5, 204.6, 54.2, 260.8, 131.5, 78.7, 
##     164.2, 196.5, 143.3, 135.1, 295, 195.7, 272.7, 207.1, 173.4, 
##     167.4, 157.1, 145, 192.4, 163.1, 176.4, 188.9, 273.6, 112.2, 
##     93.2, 178, 230.9, 193.6, 130.6, 149.9, 272.7, 95.9, 169.2, 
##     132.4, 257.9, 177.4, 322.5, 108.3, 161.4, 273.9, 92.1, 182.1, 
##     97.4, 210.4, 182.3, 199.2, 112.7, 183.6, 169.6, 89.7, 231.9, 
##     180.4, 206.9, 232.4, 142.5, 103.5, 250.6, 183.5, 315.6, 243.4, 
##     40.4, 242.9, 171.7, 145, 105.3, 188.3, 129.4, 144.5, 134.6, 
##     239.9, 169.2, 128.2, 154.6, 125.1, 217.5, 223.2, 145.8, 252.6, 
##     225, 260.6, 158.7, 177.1, 119, 170.2, 204.9, 154.5, 145.8, 
##     136.1, 169.8, 57.1, 207.6, 87.1, 118.9, 171.8, 211.1, 209.6, 
##     176.1, 156.4, 159, 121.5, 210.2, 146.4, 80.2, 58.2, 142.5, 
##     176.2, 62.5, 189.7, 190.3, 205.1, 199.8, 212.7, 186.1, 192.4, 
##     171.2, 171.9, 96.2, 261, 185.8, 60.6, 172.1, 143.7, 209.9, 
##     114.6, 194.9, 267.4, 136.4, 293.8, 209.9, 145.7, 119.7, 195.7, 
##     139.1, 198.5, 181.1, 170.2, 123.7, 183, 191.1, 138.1, 228.2, 
##     106.5, 145.7, 283.4, 198.9, 145.9, 255.5, 120.3, 137, 217.8, 
##     187.9, 286.4, 238.4, 265.3, 180.7, 214.6, 229.3, 262.8, 192, 
##     123.1, 231.8, 232.1, 197.1, 244.6, 101.4, 196, 278, 192.1, 
##     135.2, 205.2, 148.5, 324.7, 171.2, 77, 194, 96.6, 85.7, 228.1, 
##     125.8, 116.8, 93.1, 141.3, 128.6, 205.2, 225, 149.7, 199.9, 
##     184.8, 235.6, 264.5, 226, 241.2, 168.2, 160.5, 266.3, 231.3, 
##     183.2, 223.5, 123.3, 124.8, 161, 102.3, 115.1, 128.7, 216.5, 
##     103.5, 208.8, 206.3, 142.3, 230.2, 187.9, 172.1, 239.8, 208.8, 
##     276.2, 62.4, 257.4, 211.1, 206.8, 214.4, 133.1, 224, 109.6, 
##     164.9, 170.5, 219.4, 88, 236.5, 222.2, 136.2, 172.8, 160.6, 
##     148.2, 150.6, 243, 153.8, 168.6, 160, 154.6, 118.1, 125, 
##     159.7, 202, 186.9, 209.2, 162.8, 153.9, 242.9, 207.6, 211.7, 
##     154.3, 135.7, 186.7, 158.4, 175.9, 161.7, 190.7, 146.1, 85.7, 
##     197.3, 271.2, 187.1, 275.2, 156.2, 220.1, 157.3, 215.9, 167.8, 
##     189.9, 155.2, 124.4, 193.3, 168.5, 179.9, 189.9, 157, 89.5, 
##     239.1, 288, 185, 126, 262.9, 147.2, 188.4, 221.8, 189.3, 
##     164.3, 192.9, 133.3, 203.8, 140.5, 274, 154.2, 125.4, 150, 
##     188.9, 132.9, 99.7, 167.4, 242.5, 273.2, 186.5, 197.9, 137.4, 
##     245.2, 300.4, 131.1, 174.5, 89.1, 142.9, 151.4, 170.5, 156.1, 
##     85.8, 227.4, 138.3, 281.2, 94.8, 153.1, 245, 222.2, 201.5, 
##     149.2, 161.5, 149, 241.2, 168.8, 218.9, 224.9, 115.5, 235.7, 
##     241.8, 207, 215.1, 171.5, 190, 234.5, 147.7, 81.1, 214.8, 
##     245.2, 181.3, 155.5, 236.4, 93.5, 145.5, 174.3, 144.4, 186, 
##     132.9, 217.6, 140.3, 217.2, 201.3, 176.3, 177.2, 132.9, 95.6, 
##     215.9, 186.9, 58.8, 169.5, 213.9, 216, 215.3, 158.6, 260.5, 
##     209.4, 51.1, 221.1, 197.2, 186.7, 122.4, 228.4, 245.2, 202, 
##     116.8, 79.8, 150.9, 199.2, 166.5, 162, 168.4, 194.8, 234, 
##     92.6, 171.9, 235.1, 279.3, 143.6, 142.3, 229.9, 205.9, 182.2, 
##     137.9, 115.9, 94.5, 159.3, 187.5, 166, 101.7, 140, 62.3, 
##     236.8, 265.6, 161.3, 220, 179.7, 241.7, 201.9, 212.8, 167.7, 
##     131.3, 121, 187.3, 154.6, 306.9, 115.6, 96.5, 214.3, 278, 
##     209.8, 235.6, 204.6, 175.7, 195.2, 172.5, 158.5, 233.5, 63.2, 
##     145.6, 288.1, 92, 230.3, 168.1, 243.1, 248.7, 170.1, 159, 
##     72.2, 154.2, 174, 217.6, 54.8, 98.2, 227.7, 150.2, 196.3, 
##     250.6, 326.5, 123.8, 334.3, 228.2, 121.5, 187.2, 190.1, 210.7, 
##     87.2, 149.7, 244.7, 248.6, 178.6, 177.6, 178.7, 134.2, 114.1, 
##     186, 182.9, 143.2, 131, 165.5, 246.8, 139, 151.6, 160, 98.2, 
##     204.4, 224.7, 147.7, 155.9, 128.9, 169.5, 115.4, 240.2, 181.8, 
##     154, 217.3, 222.5, 152.1, 215.1, 126, 162.9, 168.6, 151.8, 
##     236.6, 152.5, 227.2, 245.2, 187.1, 116.5, 194.4, 165.8, 219.5, 
##     322.4, 322.3, 172.7, 146.7, 170.5, 199.6, 109.8, 126.9, 207.5, 
##     209.9, 147.7, 135.4, 238.3, 54.8, 6.6, 179.7, 204.9, 251.6, 
##     329.8, 164, 89.5, 191.1, 168.4, 144.8, 125.3, 286.9, 169.5, 
##     174, 214.9, 103.3, 245.9, 222.1, 191.7, 233.8, 180.3, 185, 
##     132.6, 211, 260.1, 249.7, 205.7, 115.7, 236.5, 268.7, 141.3, 
##     167.1, 172.3, 123, 184.6, 182.1, 277.7, 269.9, 48.4, 280, 
##     123, 108, 233.7, 222.7, 312, 187.6, 179, 145.5, 157.6, 235, 
##     109.5, 288.5, 294.3, 225.2, 148.2, 179.2, 159.5, 103.5, 253.2, 
##     175.8, 109.2, 146.3, 158.2, 181.6, 55.6, 218.8, 157.2, 111.7, 
##     124, 295.3, 178.4, 190.2, 169, 191.9, 217.2, 229.1, 279.5, 
##     236.8, 158.3, 221.9, 207.9, 228.1, 259, 232.4, 197.2, 139.8, 
##     214.3, 167.6, 271.9, 174.6, 60, 243, 180.5, 251.1, 200, 211.6, 
##     231.1, 184.5, 170.7, 169.3, 136.2, 170.7, 214.3, 58.2, 177.9, 
##     180.9, 162, 166.4, 239.9, 255.4, 88.1, 232, 221.1, 276.5, 
##     85.2, 139.8, 174.3, 92.2, 177.1, 156.3, 170.7, 122.2, 205.5, 
##     245.9, 205.9, 125, 184.6, 175.8, 135.8, 184.8, 156.3, 234.2, 
##     178.8, 230.2, 141, 264.6, 272.1, 184.7, 151.1, 78.4, 69.1, 
##     176.1, 220.2, 71.2, 91.9, 157.8, 189.3, 244.1, 203.8, 121.1, 
##     103.3, 206.9, 189.6, 223.4, 221.1, 144.1, 217.2, 196.1, 258, 
##     251.5, 224.9, 197.9, 116.9, 256.5, 281.6, 154, 307.1, 146.3, 
##     113.7, 254.1, 79.4, 220, 254.8, 114.8, 203.4, 283.2, 175.3, 
##     207.7, 147.7, 142.4, 168, 152.7, 305.1, 111.7, 172.4, 112.8, 
##     162, 180.4, 133.4, 148.7, 166.6, 149.7, 214.9, 216.2, 147.1, 
##     217, 265.8, 180, 126.7, 160.6, 89.7, 78.2, 109.9, 244.8, 
##     161.2, 198.2, 137.8, 214.4, 140.7, 172.5, 205.1, 229.1, 230.7, 
##     213.4, 241.9, 255.1, 240.3, 128.8, 195.4, 202.8, 185.1, 152, 
##     242.2, 90.7, 193.3, 203.5, 174, 191.3, 235.2, 155.1, 185.2, 
##     184.1, 262.4, 134.7, 221.1, 249.6, 256.3, 141.2, 149.7, 289.1, 
##     321.1, 292.9, 240.8, 254.2, 62.6, 230.6, 206.2, 115.5, 163.7, 
##     137.1, 76.1, 221.6, 209.1, 190, 259.3, 175.7, 135.4, 146.8, 
##     139, 145.7, 109.5, 207.1, 168.3, 139, 144.3, 170.5, 152.3, 
##     98.2, 155.2, 247.2, 207.8, 233.4, 215.6, 157.2, 183.7, 205, 
##     122, 248.7, 221.4, 189.6, 19.5, 164.5, 220.8, 159.5, 141.9, 
##     206.5, 141.3, 211.5, 251.3, 153.9, 226.8, 102, 139.8, 233.9, 
##     225.5, 219.6, 104.2, 149.2, 177.9, 221.6, 189.8, 240.5, 167.1, 
##     317.1, 300.3, 141.1, 157.5, 180, 160.8, 206.7, 167.4, 138.1, 
##     98.4, 182.5, 210.1, 7.9, 245.4, 196.6, 351.5, 183.2, 138.5, 
##     165.5, 138.7, 205.5, 167.6, 245.8, 62.9, 200.3, 156, 191.6, 
##     107.9, 168.3, 119.7, 119.3, 137.2, 142.4, 207.9, 122.9, 215.6, 
##     230.5, 220.7, 252.9, 282.8, 197.6, 143.8, 166.8, 232.8, 195.1, 
##     182.1, 228.1, 199.5, 193.4, 146.9, 183.3, 136.1, 263.8, 112.6, 
##     68.7, 222, 197.2, 256.2, 81.9, 115, 137.4, 226.5, 109.8, 
##     180.9, 207.8, 220.1, 112, 201.8, 191.4, 196.8, 155, 197, 
##     226.2, 144.8, 138.1, 248.8, 70.8, 139.4, 193, 281.4, 184.6, 
##     86.1, 268.7, 137.1, 264.9, 221.9, 87.6, 184.1, 132.4, 200.1, 
##     218, 82.7, 113.2, 151.1, 111.6, 151.6, 192.6, 167.1, 124.3, 
##     86.1, 171, 156.4, 173, 170.6, 178.4, 210.2, 89.4, 110.9, 
##     159.9, 217.7, 219.6, 80.3, 149.2, 175.7, 106.6, 222.9, 199, 
##     239.9, 217.8, 213.3, 255.1, 164, 173.5, 231.3, 210.3, 144.6, 
##     138.7, 146.6, 221.2, 245.1, 227.8, 248.6, 186.4, 149.3, 157.1, 
##     171.9, 131.6, 140.1, 263.4, 125.2, 280.4, 159.5, 83.6, 266.1, 
##     204, 213, 165.9, 86.4, 86, 117.1, 236.8, 168.4, 220.2, 123.7, 
##     116.7, 148.7, 196.4, 158.8, 207.3, 109, 253.1, 147.2, 148, 
##     271.6, 107.7, 180, 119, 216.7, 106.5, 222.8, 229.4, 149.1, 
##     234.4, 232.6, 232.1, 157.6, 176.5), c(119, 94, 102, 108, 
##     103, 92, 100, 107, 122, 117, 114, 110, 74, 97, 85, 82, 151, 
##     118, 91, 133, 122, 88, 89, 99, 62, 99, 100, 126, 97, 102, 
##     58, 130, 106, 107, 90, 70, 110, 109, 97, 127, 122, 84, 117, 
##     85, 92, 88, 119, 86, 115, 51, 121, 98, 131, 100, 92, 107, 
##     81, 83, 90, 114, 59, 104, 100, 111, 103, 100, 107, 57, 123, 
##     71, 92, 93, 121, 105, 115, 61, 108, 99, 97, 94, 103, 81, 
##     91, 60, 93, 114, 118, 118, 104, 108, 92, 90, 127, 101, 119, 
##     106, 126, 79, 88, 126, 101, 96, 59, 145, 95, 100, 111, 67, 
##     124, 92, 99, 84, 138, 118, 95, 58, 94, 103, 75, 97, 71, 99, 
##     63, 100, 106, 117, 63, 80, 74, 82, 92, 94, 57, 88, 107, 90, 
##     112, 107, 126, 66, 88, 83, 101, 81, 90, 114, 115, 114, 109, 
##     107, 88, 122, 86, 88, 99, 98, 118, 115, 97, 88, 112, 110, 
##     101, 69, 87, 81, 58, 92, 88, 101, 95, 112, 75, 88, 105, 89, 
##     95, 63, 90, 84, 106, 70, 88, 76, 95, 116, 83, 101, 86, 92, 
##     100, 115, 77, 110, 92, 126, 79, 122, 112, 105, 87, 116, 119, 
##     115, 133, 119, 97, 93, 73, 106, 124, 112, 102, 71, 118, 103, 
##     102, 86, 84, 92, 76, 134, 116, 101, 106, 82, 99, 89, 105, 
##     106, 106, 134, 108, 91, 114, 106, 120, 93, 115, 117, 138, 
##     98, 133, 95, 80, 124, 109, 89, 104, 82, 123, 60, 97, 64, 
##     144, 79, 69, 120, 95, 65, 109, 134, 102, 109, 91, 101, 116, 
##     115, 103, 87, 103, 109, 119, 111, 111, 95, 104, 109, 102, 
##     97, 98, 77, 60, 81, 91, 98, 116, 115, 84, 121, 105, 123, 
##     88, 126, 81, 56, 131, 88, 99, 98, 112, 126, 112, 105, 85, 
##     120, 99, 109, 114, 111, 115, 94, 106, 109, 101, 133, 117, 
##     101, 123, 110, 87, 97, 99, 89, 93, 57, 79, 93, 85, 110, 123, 
##     115, 92, 65, 99, 110, 125, 119, 114, 102, 67, 72, 115, 94, 
##     121, 126, 105, 112, 116, 95, 111, 75, 105, 110, 85, 67, 156, 
##     95, 134, 126, 97, 107, 109, 95, 88, 125, 93, 83, 111, 87, 
##     110, 92, 103, 90, 84, 85, 103, 114, 91, 116, 79, 115, 105, 
##     120, 74, 111, 68, 97, 111, 102, 95, 89, 96, 107, 68, 118, 
##     97, 76, 96, 120, 88, 105, 125, 120, 97, 112, 98, 107, 102, 
##     85, 80, 132, 115, 70, 84, 90, 120, 126, 105, 127, 145, 100, 
##     101, 45, 102, 105, 113, 88, 121, 109, 88, 121, 114, 108, 
##     77, 138, 114, 97, 101, 119, 113, 104, 130, 94, 140, 73, 95, 
##     129, 84, 94, 137, 114, 113, 114, 57, 95, 108, 108, 139, 122, 
##     65, 100, 99, 95, 134, 111, 121, 98, 71, 98, 94, 90, 76, 117, 
##     83, 104, 130, 160, 85, 115, 95, 165, 103, 113, 100, 106, 
##     101, 107, 83, 143, 105, 144, 79, 98, 103, 94, 112, 109, 82, 
##     79, 76, 91, 126, 81, 108, 94, 79, 102, 56, 124, 87, 82, 130, 
##     91, 106, 105, 121, 118, 107, 95, 122, 69, 92, 53, 107, 97, 
##     99, 78, 83, 122, 108, 126, 121, 120, 102, 97, 108, 127, 100, 
##     102, 90, 79, 108, 90, 81, 92, 95, 104, 96, 111, 126, 115, 
##     104, 93, 80, 108, 91, 113, 76, 118, 74, 94, 66, 92, 141, 
##     97, 107, 120, 103, 96, 101, 76, 91, 88, 111, 75, 108, 137, 
##     130, 125, 76, 133, 143, 110, 104, 90, 83, 110, 95, 100, 90, 
##     102, 93, 129, 60, 117, 103, 70, 129, 97, 94, 97, 97, 85, 
##     86, 110, 80, 138, 101, 128, 86, 85, 143, 58, 94, 95, 106, 
##     81, 66, 113, 88, 106, 129, 107, 121, 74, 111, 109, 112, 113, 
##     92, 116, 125, 54, 88, 142, 104, 117, 83, 106, 103, 108, 98, 
##     102, 115, 120, 128, 60, 90, 124, 79, 110, 105, 104, 85, 146, 
##     108, 98, 70, 65, 102, 120, 76, 114, 71, 93, 85, 138, 110, 
##     66, 102, 101, 123, 72, 112, 104, 113, 117, 106, 91, 86, 72, 
##     108, 88, 101, 68, 74, 111, 124, 70, 108, 86, 56, 68, 122, 
##     123, 106, 68, 101, 88, 134, 114, 66, 128, 78, 59, 120, 102, 
##     121, 91, 71, 105, 99, 60, 121, 104, 78, 111, 115, 134, 107, 
##     116, 120, 122, 128, 91, 61, 106, 92, 83, 124, 104, 87, 76, 
##     86, 84, 92, 116, 81, 94, 102, 92, 83, 99, 127, 96, 103, 100, 
##     128, 85, 64, 121, 93, 129, 78, 93, 109, 102, 83, 87, 118, 
##     109, 102, 107, 103, 95, 91, 89, 101, 91, 42, 101, 126, 83, 
##     92, 74, 111, 101, 147, 150, 95, 117, 106, 106, 128, 105, 
##     79, 75, 103, 71, 98, 93, 100, 65, 97, 80, 89, 121, 97, 108, 
##     77, 61, 141, 96, 129, 100, 97, 103, 90, 77, 131, 109, 114, 
##     136, 75, 88, 105, 122, 82, 57, 72, 94, 82, 104, 88, 92, 110, 
##     68, 128, 107, 99, 120, 91, 111, 105, 115, 103, 63, 105, 85, 
##     109, 82, 76, 78, 133, 119, 106, 88, 76, 87, 112, 60, 84, 
##     82, 90, 122, 61, 107, 57, 106, 118, 98, 107, 104, 75, 118, 
##     111, 130, 113, 114, 96, 134, 95, 74, 90, 70, 112, 104, 106, 
##     79, 98, 117, 117, 99, 105, 63, 119, 97, 100, 103, 113, 73, 
##     112, 66, 112, 124, 141, 91, 120, 83, 86, 130, 64, 102, 158, 
##     117, 65, 87, 96, 103, 96, 114, 144, 81, 67, 111, 92, 108, 
##     132, 81, 90, 124, 127, 104, 114, 67, 116, 108, 143, 123, 
##     110, 119, 106, 102, 115, 110, 92, 113, 94, 86, 106, 94, 105, 
##     112, 99, 134, 87, 112, 110, 64, 122, 82, 132, 127, 124, 92, 
##     93, 124, 87, 105, 104, 77, 58, 96, 106, 131, 77, 86, 109, 
##     97, 100, 87, 139, 82, 120, 82, 105, 89, 81, 114, 92, 123, 
##     70, 96, 91, 81, 120, 101, 60, 89, 127, 150, 122, 63, 56, 
##     104, 118, 95, 85, 90, 95, 92, 156, 85, 86, 112, 110, 104, 
##     100, 87, 102, 112, 100, 112, 99, 103, 68, 119, 125, 121, 
##     106, 106, 128, 84, 91, 80, 88, 88, 112, 103, 82, 95, 134, 
##     113, 67, 126, 131, 79, 120, 103, 120, 90, 89, 131, 72, 95, 
##     83, 46, 79, 113, 82, 123, 88, 91, 120, 112, 116, 86, 115, 
##     113, 77, 75, 122, 100, 78, 112, 104, 107, 111, 113, 107, 
##     115, 92, 98, 76, 121, 96, 125, 61, 84, 83, 104, 126, 120, 
##     125, 92, 103, 134, 82, 72, 114, 93, 73, 68, 120, 94, 88, 
##     62, 108, 72, 120, 74, 80, 108, 55, 92, 122, 36, 142, 107, 
##     102, 44, 130, 70, 108, 133, 142, 135, 88, 74, 76, 90, 119, 
##     121, 85, 125, 129, 108, 117, 98, 83, 93, 99, 68, 107, 74, 
##     102, 156, 78, 95, 97, 116, 122, 116, 95, 117, 113, 98, 100, 
##     87, 56, 110, 78, 136, 103, 117, 89, 128, 109, 134, 109, 98, 
##     86, 92, 100, 123, 102, 107, 132, 110, 101, 138, 116, 71, 
##     89, 105, 96, 66, 67, 80, 116, 100, 97, 89, 112, 44, 93, 100, 
##     126, 89, 132, 105, 76, 102, 94, 114, 123, 102, 80, 103, 88, 
##     89, 94, 120, 98, 93, 109, 45, 105, 91, 95, 115, 119, 124, 
##     96, 98, 143, 124, 121, 81, 101, 108, 112, 94, 127, 92, 108, 
##     117, 79, 90, 129, 105, 90, 107, 93, 132, 92, 106, 76, 122, 
##     98, 59, 77, 95, 78, 87, 92, 96, 126, 99, 112, 66, 89, 104, 
##     140, 97, 65, 98, 112, 99, 94, 107, 106, 100, 94, 108, 104, 
##     73, 96, 124, 130, 127, 98, 86, 100, 112, 151, 125, 96, 85, 
##     110, 109, 112, 122, 94, 101, 86, 130, 124, 121, 93, 117, 
##     61, 142, 102, 135, 83, 124, 93, 72, 95, 98, 90, 47, 115, 
##     99, 102, 117, 104, 114, 101, 116, 105, 88, 117, 86, 102, 
##     92, 129, 109, 100, 100, 91, 60, 83, 101, 57, 81, 86, 102, 
##     91, 108, 81, 85, 60, 124, 123, 98, 56, 93, 107, 69, 87, 115, 
##     96, 163, 100, 88, 105, 106, 121, 96, 89, 117, 111, 57, 94, 
##     102, 110, 132, 127, 90, 51, 98, 102, 95, 117, 87, 138, 69, 
##     107, 88, 100, 99, 107, 97, 121, 105, 90, 80, 83, 112, 65, 
##     112, 83, 75, 77, 106, 94, 112, 88, 106, 115, 113, 107, 67, 
##     99, 72, 101, 110, 134, 98, 94, 102, 77, 74, 96, 109, 92, 
##     88, 76, 101, 123, 105, 128, 91, 125, 73, 68, 99, 44, 122, 
##     84, 92, 107, 105, 99, 85, 83, 114, 91, 64, 103, 113, 93, 
##     115, 80, 99, 92, 85, 78, 121, 131, 120, 102, 114, 82, 109, 
##     130, 115, 141, 67, 80, 127, 89, 77, 110, 110, 97, 116, 85, 
##     132, 93, 118, 117, 106, 87, 120, 118, 92, 101, 117, 117, 
##     120, 67, 140, 100, 131, 75, 95, 112, 110, 103, 103, 114, 
##     98, 80, 101, 104, 93, 95, 101, 121, 137, 120, 60, 95, 97, 
##     120, 116, 106, 82, 88, 95, 131, 98, 109, 70, 85, 121, 147, 
##     90, 83, 82, 106, 95, 129, 96, 66, 91, 110, 69, 96, 80, 74, 
##     92, 101, 91, 105, 106, 91, 82, 112, 125, 114, 94, 112, 64, 
##     100, 85, 90, 89, 117, 95, 56, 126, 76, 87, 77, 77, 123, 84, 
##     96, 121, 102, 81, 76, 113, 108, 110, 84, 89, 112, 116, 88, 
##     117, 116, 108, 111, 109, 124, 92, 119, 94, 117, 94, 83, 96, 
##     119, 107, 99, 97, 107, 54, 124, 97, 73, 99, 84, 145, 118, 
##     151, 111, 111, 82, 85, 102, 85, 114, 110, 96, 81, 93, 100, 
##     91, 112, 98, 105, 90, 94, 100, 121, 67, 106, 78, 86, 102, 
##     100, 109, 98, 119, 88, 90, 78, 67, 62, 94, 108, 90, 117, 
##     108, 112, 108, 139, 100, 68, 119, 102, 94, 109, 76, 129, 
##     102, 70, 105, 129, 110, 97, 96, 93, 75, 105, 90, 120, 86, 
##     128, 109, 106, 65, 94, 78, 122, 100, 82, 69, 94, 147, 121, 
##     102, 105, 97, 147, 87, 113, 88, 150, 100, 95, 99, 87, 85, 
##     126, 93, 83, 93, 63, 73, 81, 88, 115, 102, 108, 90, 80, 115, 
##     119, 127, 111, 112, 100, 121, 81, 99, 78, 117, 87, 93, 94, 
##     106, 77, 113, 82, 104, 48, 105, 135, 70, 72, 107, 74, 113, 
##     146, 71, 95, 93, 100, 121, 114, 75, 119, 126, 124, 79, 110, 
##     121, 91, 109, 68, 92, 75, 89, 145, 80, 101, 124, 123, 121, 
##     95, 122, 104, 94, 90, 137, 95, 106, 91, 129, 108, 95, 94, 
##     97, 95, 130, 112, 98, 65, 85, 122, 106, 145, 117, 67, 105, 
##     87, 142, 97, 84, 113, 105, 98, 98, 119, 71, 127, 107, 114, 
##     91, 50, 69, 137, 105, 133, 78, 112, 102, 96, 111, 82, 90, 
##     97, 141, 76, 102, 96, 98, 107, 89, 129, 98, 146, 96, 114, 
##     104, 125, 101, 114, 128, 82, 73, 140, 78, 93, 102, 99, 95, 
##     83, 80, 86, 133, 100, 112, 97, 110, 61, 112, 95, 89, 52, 
##     135, 62, 116, 105, 142, 73, 91, 115, 96, 92, 100, 73, 120, 
##     92, 90, 137, 96, 86, 130, 120, 117, 74, 84, 110, 89, 96, 
##     142, 84, 98, 92, 103, 87, 102, 86, 120, 137, 109, 98, 114, 
##     104, 116, 84, 59, 54, 97, 118, 69, 107, 94, 80, 102, 112, 
##     84, 103, 96, 122, 71, 74, 130, 57, 125, 79, 81, 77, 88, 104, 
##     48, 129, 123, 104, 103, 110, 121, 100, 118, 98, 66, 118, 
##     130, 95, 111, 133, 90, 104, 108, 102, 86, 82, 65, 66, 89, 
##     76, 86, 128, 111, 109, 84, 104, 109, 83, 96, 117, 102, 99, 
##     109, 111, 118, 84, 102, 108, 104, 69, 100, 116, 80, 132, 
##     123, 68, 45, 110, 92, 119, 65, 76, 83, 130, 97, 99, 56, 118, 
##     93, 80, 113, 97, 122, 132, 92, 112, 112, 70, 91, 61, 70, 
##     89, 113, 110, 130, 98, 110, 70, 115, 83, 61, 110, 125, 75, 
##     53, 61, 90, 95, 81, 88, 97, 93, 105, 105, 97, 117, 123, 102, 
##     99, 99, 95, 108, 107, 104, 86, 77, 94, 96, 85, 128, 84, 78, 
##     85, 100, 58, 107, 93, 109, 85, 64, 99, 89, 80, 116, 110, 
##     93, 69, 88, 95, 118, 129, 114, 90, 70, 96, 99, 123, 70, 72, 
##     127, 94, 94, 103, 108, 90, 93, 101, 119, 99, 107, 94, 112, 
##     98, 113, 79, 123, 104, 110, 95, 85, 60, 140, 119, 69, 110, 
##     84, 134, 124, 122, 71, 76, 63, 88, 110, 107, 65, 92, 141, 
##     79, 110, 125, 95, 95, 112, 113, 77, 113, 120, 105, 113, 124, 
##     137, 114, 101, 92, 90, 74, 107, 125, 90, 101, 109, 142, 134, 
##     78, 109, 102, 107, 101, 80, 113, 91, 109, 105, 69, 106, 70, 
##     103, 58, 85, 150, 123, 81, 110, 86, 122, 78, 93, 104, 80, 
##     94, 118, 115, 67, 76, 126, 102, 106, 101, 83, 101, 105, 98, 
##     114, 114, 91, 106, 107, 104, 122, 133, 122, 117, 114, 110, 
##     88, 122, 99, 65, 91, 35, 117, 116, 133, 91, 55, 106, 81, 
##     77, 136, 51, 100, 111, 101, 90, 110, 97, 113, 86, 104, 95, 
##     92, 92, 86, 104, 120, 113, 114, 105, 109, 108, 101, 119, 
##     96, 62, 110, 90, 108, 108, 140, 102, 113, 91, 84, 96, 84, 
##     123, 87, 65, 115, 127, 102, 97, 129, 139, 103, 96, 90, 106, 
##     119, 106, 111, 83, 114, 107, 148, 75, 81, 106, 65, 82, 79, 
##     85, 111, 107, 95, 89, 129, 99, 102, 100, 99, 111, 112, 91, 
##     84, 82, 107, 76, 115, 94, 115, 85, 100, 94, 81, 108, 113, 
##     74, 71, 105, 126, 107, 102, 136, 72, 115, 72, 91, 110, 110, 
##     139, 133, 65, 90, 110, 96, 111, 68, 121, 89, 85, 88, 101, 
##     100, 108, 132, 99, 90, 76, 101, 81, 84, 94, 91, 116, 102, 
##     85, 84, 141, 78, 69, 111, 121, 81, 119, 101, 89, 97, 112, 
##     119, 113, 60, 63, 106, 95, 91, 111, 129, 65, 107, 116, 91, 
##     116, 96, 98, 115, 121, 86, 136, 112, 99, 117, 78, 94, 97, 
##     84, 72, 95, 119, 75, 103, 101, 79, 82, 114, 64, 76, 109, 
##     88, 106, 136, 102, 81, 90, 74, 84, 92, 140, 131, 97, 119, 
##     87, 102, 119, 93, 132, 83, 117, 84, 109, 102, 135, 78, 91, 
##     122, 106, 114, 97, 124, 79, 63, 88, 48, 125, 109, 110, 106, 
##     94, 130, 93, 147, 78, 99, 89, 132, 129, 120, 113, 74, 93, 
##     84, 75, 86, 80, 72, 90, 138, 132, 123, 108, 70, 107, 79, 
##     102, 86, 107, 107, 123, 74, 76, 90, 81, 85, 84, 79, 113, 
##     104, 80, 98, 101, 121, 84, 113, 80, 105, 123, 70, 136, 105, 
##     82, 81, 111, 86, 119, 130, 86, 91, 99, 107, 84, 109, 97, 
##     103, 119, 72, 101, 95, 130, 81, 74, 110, 97, 99, 85, 103, 
##     94, 133, 106, 80, 115, 114, 70, 134, 51, 140, 146, 126, 68, 
##     121, 73, 138, 90, 77, 112, 30, 76, 108, 119, 99, 121, 108, 
##     137, 98, 116, 125, 110, 71, 131, 105, 97, 96, 93, 144, 129, 
##     106, 98, 125, 114, 102, 72, 113, 85, 78, 99, 115, 145, 113, 
##     128, 77, 55, 86, 61, 113, 108, 117, 85, 40, 121, 89, 123, 
##     106, 95, 64, 107, 126, 110, 108, 94, 120, 92, 124, 66, 103, 
##     112, 47, 121, 80, 123, 122, 133, 112, 113, 102, 85, 98, 107, 
##     125, 88, 117, 141, 0, 95, 89, 96, 95, 96, 105, 97, 104, 84, 
##     73, 98, 73, 87, 89, 112, 95, 112, 131, 104, 90, 93, 77, 147, 
##     123, 110, 91, 135, 103, 97, 99, 141, 102, 87, 66, 151, 80, 
##     115, 103, 99, 88, 106, 117, 102, 101, 142, 83, 132, 113, 
##     127, 121, 78, 96, 134, 103, 105, 123, 88, 98, 79, 104, 83, 
##     91, 84, 65, 104, 129, 105, 81, 87, 112, 98, 87, 92, 95, 79, 
##     98, 112, 93, 117, 49, 101, 140, 110, 87, 85, 104, 94, 85, 
##     88, 107, 92, 90, 58, 108, 84, 130, 139, 147, 74, 114, 68, 
##     136, 86, 78, 99, 97, 96, 97, 102, 73, 94, 107, 88, 70, 89, 
##     112, 59, 97, 95, 75, 107, 105, 99, 94, 99, 105, 95, 78, 109, 
##     92, 66, 127, 106, 55, 121, 92, 120, 93, 91, 107, 98, 67, 
##     120, 103, 103, 125, 104, 96, 104, 103, 114, 85, 99, 71, 87, 
##     96, 118, 84, 125, 75, 125, 0, 71, 98, 101, 84, 133, 110, 
##     116, 112, 77, 96, 123, 115, 100, 90, 79, 93, 102, 89, 94, 
##     107, 115, 104, 107, 73, 109, 109, 110, 107, 101, 93, 97, 
##     44, 62, 81, 112, 73, 97, 95, 141, 78, 113, 70, 73, 122, 112, 
##     90, 79, 97, 75, 92, 120, 77, 94, 75, 92, 120, 107, 131, 140, 
##     100, 92, 83, 63, 137, 93, 104, 100, 92, 117, 87, 137, 93, 
##     89, 141, 117, 122, 86, 106, 105, 104, 78, 91, 72, 121, 91, 
##     117, 125, 123, 84, 139, 122, 98, 95, 83, 117, 75, 114, 109, 
##     113, 80, 113, 111, 140, 39, 80, 107, 84, 95, 128, 104, 89, 
##     87, 104, 124, 108, 66, 78, 67, 88, 108, 124, 87, 89, 114, 
##     89, 102, 100, 117, 123, 104, 128, 96, 100, 94, 80, 145, 117, 
##     78, 109, 107, 77, 62, 105, 148, 108, 95, 83, 83, 98, 100, 
##     80, 114, 113, 104, 86, 94, 105, 113, 90, 79, 106, 95, 92, 
##     101, 90, 83, 91, 106, 111, 92, 95, 77, 80, 123, 123, 123, 
##     98, 92, 71, 76, 113, 135, 67, 87, 100, 79, 141, 81, 89, 94, 
##     79, 113, 98, 75, 92, 83, 143, 88, 112, 104, 100, 106, 93, 
##     98, 82, 112, 92, 104, 116, 106, 106, 97, 88, 134, 123, 102, 
##     112, 108, 94, 52, 139, 108, 113, 102, 97, 94, 77, 111, 129, 
##     94, 141, 81, 96, 134, 97, 86, 134, 103, 93, 99, 100, 92, 
##     106, 92, 100, 106, 112, 87, 71, 117, 96, 104, 49, 101, 129, 
##     88, 93, 110, 75, 130, 75, 64, 125, 121, 109, 135, 87, 113, 
##     90, 103, 117, 100, 87, 99, 98, 116, 98, 103, 109, 141, 123, 
##     97, 70, 100, 117, 79, 106, 79, 119, 62, 105, 93, 70, 109, 
##     110, 92, 58, 83, 95, 74, 117, 91, 120, 80, 136, 106, 95, 
##     110, 119, 109, 106, 57, 100, 115, 122, 119, 116, 99, 118, 
##     56, 123, 115, 92, 109, 115, 85, 93, 105, 126, 105, 126, 80, 
##     89, 101, 70, 120, 107, 91, 110, 70, 119, 128, 103, 116, 109, 
##     108, 89, 110, 81, 90, 112, 94, 98, 107, 84, 59, 146, 136, 
##     98, 96, 110, 112, 106, 89, 107, 103, 108, 109, 97, 109, 105, 
##     81, 96, 87, 87, 68, 122, 88, 86, 94, 73, 98, 98, 90, 96, 
##     112, 83, 118, 113, 105, 82, 77, 94, 63, 78, 147, 94, 105, 
##     146, 113, 116, 95, 124, 59, 113, 96, 110, 69, 103, 70, 116, 
##     89, 104, 77, 69, 93, 108, 128, 93, 110, 125, 96, 94, 82, 
##     101, 103, 114, 97, 100, 120, 102, 117, 89, 48, 104, 88, 98, 
##     101, 128, 126, 48, 138, 106, 103, 59, 83, 121, 103, 87, 68, 
##     120, 115, 145, 78, 122, 64, 83, 131, 117, 127, 105, 92, 113, 
##     90, 100, 112, 81, 78, 114, 117, 100, 114, 100, 60, 134, 101, 
##     97, 75, 113, 110, 138, 103, 130, 95, 89, 91, 99, 104, 94, 
##     114, 102, 88, 115, 113, 112, 81, 94, 113, 103, 58, 103, 82, 
##     125, 115, 89, 85, 72, 81, 83, 99, 83, 106, 79, 127, 117, 
##     117, 67, 71, 107, 107, 108, 108, 92, 98, 99, 103, 57, 112, 
##     67, 110, 80, 67, 77, 103, 61, 67, 121, 87, 79, 83, 51, 80, 
##     97, 125, 101, 66, 96, 120, 104, 90, 95, 121, 63, 105, 100, 
##     106, 131, 94, 85, 92, 83, 91, 116, 69, 94, 122, 74, 105, 
##     110, 85, 108, 108, 100, 91, 113, 108, 73, 124, 70, 89, 107, 
##     114, 77, 94, 116, 78, 89, 102, 88, 80, 123, 125, 123, 104, 
##     134, 141, 88, 117, 70, 79, 93, 91, 91, 98, 137, 109, 95, 
##     86, 82, 109, 135, 92, 73, 112, 116, 105, 88, 127, 132, 87, 
##     108, 122, 130, 79, 142, 86, 88, 76, 98, 104, 151, 95, 94, 
##     58, 112, 108, 125, 106, 106, 90, 74, 98, 100, 105, 100, 119, 
##     99, 79, 124, 111, 82, 127, 106, 117, 85, 77, 97, 104, 88, 
##     73, 116, 96, 101, 96, 87, 97, 110, 99, 102, 71, 106, 92, 
##     135, 86, 83, 114, 112, 112, 101, 102, 93, 39, 105, 108, 112, 
##     71, 111, 109, 118, 76, 77, 132, 96, 91, 84, 56, 93, 81, 108, 
##     103, 112, 117, 82, 97, 137, 109, 113, 80, 80, 123, 123, 82, 
##     123, 87, 134, 70, 108, 100, 67, 107, 118, 85, 80, 127, 133, 
##     119, 92, 71, 104, 59, 83, 121, 81, 80, 95, 107, 54, 99, 148, 
##     72, 110, 96, 119, 123, 100, 91, 69, 105, 110, 85, 96, 137, 
##     78, 108, 114, 91, 104, 114, 105, 89, 103, 102, 115, 69, 131, 
##     128, 87, 104, 77, 94, 96, 85, 92, 113, 93, 91, 87, 93, 100, 
##     97, 92, 109, 94, 101, 83, 74, 107, 128, 74, 87, 73, 111, 
##     94, 109, 114, 126, 128, 113, 117, 85, 72, 122, 73, 107, 97, 
##     103, 84, 88, 100, 76, 101, 91, 98, 105, 84, 120, 72, 105, 
##     135, 111, 88, 91, 118, 99, 101, 113, 158, 79, 114, 94, 109, 
##     83, 114, 92, 85, 77, 105, 114, 83, 89, 138, 105, 123, 105, 
##     95, 96, 96, 108, 130, 91, 97, 125, 81, 121, 102, 127, 143, 
##     102, 87, 95, 73, 120, 118, 61, 99, 114, 91, 77, 105, 96, 
##     111, 152, 145, 116, 106, 88, 102, 91, 85, 81, 98, 87, 92, 
##     98, 54, 108, 92, 55, 126, 94, 117, 79, 81, 114, 121, 122, 
##     125, 80, 124, 122, 98, 108, 95, 108, 102, 117, 88, 67, 102, 
##     113, 88, 96, 132, 139, 108, 114, 102, 110, 94, 147, 99, 117, 
##     111, 63, 117, 117, 117, 113, 108, 82, 109, 71, 157, 71, 77, 
##     105, 93, 79, 96, 89, 101, 144, 138, 89, 112, 105, 97, 99, 
##     127, 87, 103, 133, 94, 85, 117, 127, 99, 80, 85, 98, 146, 
##     110, 96, 116, 105, 107, 103, 105, 106, 116, 133, 108, 104, 
##     89, 107, 80, 61, 99, 91, 67, 80, 104, 122, 109, 113, 110, 
##     80, 127, 102, 91, 142, 108, 86, 112, 77, 118, 123, 143, 122, 
##     107, 104, 96, 146, 86, 107, 109, 103, 63, 87, 90, 121, 89, 
##     80, 104, 121, 117, 87, 67, 55, 116, 133, 118, 119, 132, 119, 
##     79, 105, 101, 104, 97, 111, 94, 113, 101, 109, 102, 121, 
##     74, 127, 98, 96, 78, 134, 107, 98, 88, 95, 87, 76, 110, 116, 
##     101, 91, 103, 116, 61, 92, 71, 127, 118, 103, 94, 110, 113, 
##     120, 42, 149, 75, 77, 115, 103, 92, 127, 100, 69, 102, 87, 
##     95, 98, 96, 119, 99, 75, 128, 68, 101, 126, 103, 138, 97, 
##     109, 109, 109, 100, 97, 79, 68, 115, 100, 104, 126, 100, 
##     82, 87, 95, 117, 110, 78, 101, 87, 96, 102, 112, 103, 88, 
##     83, 128, 110, 148, 93, 111, 126, 95, 93, 115, 116, 82, 93, 
##     108, 126, 76, 138, 95, 91, 94, 86, 107, 99, 94, 106, 116, 
##     65, 86, 95, 99, 118, 105, 75, 130, 109, 85, 112, 114, 113, 
##     128, 105, 66, 116, 89, 98, 79, 103, 105, 113, 124, 94, 102, 
##     99, 102, 133, 97, 81, 88, 80, 66, 76, 78, 110, 72, 86, 94, 
##     96, 92, 140, 107, 97, 86, 100, 100, 129, 108, 101, 79, 103, 
##     92, 77, 74, 100, 108, 126, 140, 96, 82, 128, 97, 96, 120, 
##     93, 124, 124, 99, 121, 87, 66, 115, 124, 68, 80, 68, 107, 
##     83, 85, 100, 77, 98, 89, 125, 148, 123, 127, 96, 148, 120, 
##     84, 115, 122, 69, 105, 94, 89, 53, 89, 114, 71, 105, 139, 
##     75, 77, 88, 112, 103, 96, 130, 124, 80, 82, 91, 65, 114, 
##     78, 103, 103, 121, 122, 129, 105), c(40.92, 43.98, 31.59, 
##     21.54, 29.33, 20.74, 26.13, 30.02, 32.27, 24.41, 36.74, 31.88, 
##     14.14, 29.92, 42.76, 22.76, 35.6, 28.1, 32.37, 20.33, 30.8, 
##     29.72, 39.92, 38.08, 16.9, 21.22, 37.69, 37.57, 46.55, 36.64, 
##     12.1, 31.4, 31.71, 31.21, 35.22, 13.28, 28.03, 28.36, 33.49, 
##     30.72, 25.5, 26.1, 23.87, 25.13, 25.59, 46.31, 33.27, 29.84, 
##     28.9, 35.99, 33.73, 29.67, 30.11, 35.99, 31.31, 27.59, 38.73, 
##     24.94, 26.95, 23.9, 25.67, 34.53, 18.22, 33.76, 18.77, 23.34, 
##     41.89, 35.55, 12.05, 37.04, 21.1, 22.42, 16.13, 31.96, 36.41, 
##     28.34, 16.01, 42.08, 33.52, 23.31, 38.83, 45.63, 22.42, 54.03, 
##     51.46, 27.29, 32.96, 23.38, 45.41, 19.69, 33.76, 39.59, 26.18, 
##     48.98, 38.52, 30.62, 32.86, 9.44, 20.81, 40.31, 24.31, 24.02, 
##     24.75, 25.98, 19.13, 39.13, 31.35, 32.61, 36.13, 34.03, 31.28, 
##     33.63, 31.21, 32.98, 27.12, 33.15, 31.77, 29.1, 48.5, 23.17, 
##     28.66, 22.83, 31.18, 10.23, 25.76, 10.47, 40.31, 45.54, 17.36, 
##     46.94, 23.73, 23.34, 35.48, 20.93, 22.03, 24.48, 36.43, 29.43, 
##     39.19, 27.08, 32.47, 20.38, 39.8, 40.04, 50.1, 19.14, 45.56, 
##     33.78, 29.39, 39, 31.26, 33.63, 49.1, 30.69, 44.1, 46.05, 
##     37.38, 33.8, 28.1, 42.77, 24.12, 26.42, 24.99, 44.51, 33.69, 
##     38.2, 45.9, 27.29, 22.75, 21.56, 43.04, 48.13, 26.57, 28.53, 
##     22.13, 33.64, 25.23, 33.05, 25.28, 43.13, 13.36, 24.53, 20.72, 
##     30.46, 27.35, 25.86, 26.76, 29.38, 19.75, 36.91, 34.58, 27.25, 
##     28.88, 53.11, 3.21, 23.36, 23.48, 33.8, 29.72, 33.17, 19.31, 
##     30.6, 29.26, 29.33, 38.37, 41.65, 43.81, 29.44, 36.58, 25.99, 
##     28.76, 37.72, 24.75, 24.45, 44.91, 17.37, 22, 34.37, 26.62, 
##     19.02, 41.62, 8.52, 30.38, 16.97, 25.59, 26.62, 13.72, 17.46, 
##     34.03, 24.79, 32.81, 38.3, 32.39, 27.34, 42.01, 27.74, 36.02, 
##     32.35, 48.81, 34.09, 27.64, 18.22, 31.57, 23.43, 24.41, 30.99, 
##     23.77, 37.04, 27.47, 22.41, 25.47, 28.39, 21.49, 22.36, 38.57, 
##     27.15, 27.32, 12.38, 36.21, 17.83, 32.3, 14.31, 41.17, 22.19, 
##     32.88, 26.44, 12.75, 36.89, 20.42, 42.43, 27.12, 31.93, 13.31, 
##     39.83, 31.18, 36.64, 27.08, 26.13, 42.98, 31.89, 32.78, 40.15, 
##     24.34, 25.99, 19.45, 17, 35.82, 21.85, 28.85, 33, 32.15, 
##     32.74, 22.87, 37.23, 33.15, 26.28, 31.37, 38.71, 54.62, 25.81, 
##     30.23, 35.17, 32.88, 22.32, 44, 46.55, 23.58, 34.66, 37.64, 
##     10.4, 28.85, 44.08, 20.21, 42.47, 49.27, 24.65, 38.37, 31.86, 
##     5.08, 16.47, 21.79, 28.7, 46.7, 19.57, 26.66, 36.38, 26.69, 
##     30.45, 39.95, 18.92, 34.97, 17.8, 26.11, 29.67, 37.79, 27.22, 
##     29.82, 16.64, 22.19, 45.9, 26.61, 40.94, 31.26, 29.6, 40.82, 
##     41.21, 33.59, 23.75, 38.28, 50.1, 27.9, 29.16, 40.31, 26.47, 
##     22.81, 24.29, 46.58, 31.79, 35.04, 38.52, 23.94, 27.8, 18.09, 
##     26.5, 30.11, 30.16, 36.3, 21.86, 18.34, 34.07, 31.82, 37.3, 
##     16.81, 26.08, 33.61, 37.81, 31.14, 46.07, 44.93, 11.46, 22.03, 
##     36.01, 29.9, 18.67, 35.68, 40.21, 38.79, 19.35, 27.3, 23.38, 
##     15.67, 36.09, 28.83, 32.74, 23.34, 41.67, 14.03, 36.91, 32.86, 
##     19.7, 34.75, 22.81, 39.92, 25.52, 26.62, 23.22, 22.3, 23.07, 
##     28.7, 35.67, 27.05, 37.79, 25.25, 29.9, 18.09, 37.81, 29.95, 
##     20.13, 26.59, 15.95, 27.12, 48.74, 18.9, 34.56, 53.48, 25.01, 
##     36.38, 28.12, 25.59, 35, 30.43, 30.79, 36.06, 22.39, 57.04, 
##     47.14, 43.4, 34.49, 18.79, 55.44, 23.39, 45.76, 38.74, 30.5, 
##     18.24, 27.85, 19.07, 28.31, 33.42, 28.51, 41.09, 27.4, 50.68, 
##     26.2, 39.29, 32.62, 26.11, 28.12, 34.44, 17.2, 30.7, 37.52, 
##     29.22, 31.31, 18.55, 33.25, 35.96, 16.63, 26.42, 19.79, 51.07, 
##     28.78, 22.98, 37.62, 30.24, 32.03, 29.82, 33.68, 30.91, 26.03, 
##     22.44, 26.25, 28.97, 18.33, 28.42, 23.24, 23.8, 23.94, 33.03, 
##     49.32, 41.33, 33.71, 34.77, 26.54, 28.99, 26.86, 46.31, 40.22, 
##     23.14, 46.7, 31.04, 21.13, 31.18, 24.89, 41.91, 38.18, 24.19, 
##     14.69, 21.27, 7.12, 51.24, 32.83, 24.04, 29.44, 37.45, 31.88, 
##     30.67, 42.74, 40.14, 17.97, 22.95, 34.95, 26.28, 43.71, 40.61, 
##     24.36, 21.78, 38.74, 28.58, 34.9, 32.01, 23.94, 34.31, 22.97, 
##     14.48, 33.12, 30.86, 29.67, 35.05, 22.08, 19.36, 35.21, 34.02, 
##     39.07, 29.27, 28.66, 30.46, 21.78, 19.62, 37.54, 21.68, 37.76, 
##     19.45, 35.38, 29.85, 36.48, 25.01, 31.45, 24.4, 48.86, 42.91, 
##     44.35, 18.67, 30.06, 44.44, 42.09, 43.28, 35.92, 32.78, 26.78, 
##     25.11, 17.37, 27.44, 16.69, 17.83, 43.2, 48.99, 37.59, 33.71, 
##     12.02, 11.03, 43.25, 32.45, 17.56, 30.57, 30.92, 46.34, 30.45, 
##     25.28, 23.29, 25.69, 37.79, 14.14, 17.51, 23.1, 39.22, 13.29, 
##     20.83, 22.29, 22, 38.39, 11.12, 33.2, 30.46, 27.56, 33.07, 
##     29.44, 35.22, 30.41, 55.34, 33.68, 35.85, 27.17, 30.6, 26.89, 
##     26.18, 38.11, 22.03, 35.07, 21.05, 38.45, 28.02, 36.64, 32.33, 
##     38.15, 31.86, 30.28, 41.99, 25.87, 30.29, 40.43, 41.79, 28.68, 
##     17.02, 20.77, 15.39, 32.28, 36.18, 40.8, 55.03, 38.96, 18.46, 
##     34.78, 21.08, 23.48, 28.07, 34.2, 31.4, 35.85, 37.21, 22.93, 
##     30.33, 36.35, 34.07, 45.63, 18.19, 16.93, 24.41, 38.37, 40.48, 
##     46.73, 22.37, 30.8, 37.01, 50.13, 33.81, 30.01, 16.64, 34.58, 
##     21.22, 27.15, 19.74, 36.86, 32.42, 31.64, 26.55, 27.64, 29.53, 
##     26.06, 28.53, 53.4, 24.65, 30.5, 15.27, 31.47, 9.18, 29.78, 
##     28.78, 11.34, 26.78, 43.33, 1.33, 22.02, 11.51, 26.61, 36.98, 
##     7, 32.78, 42.84, 21.69, 45.48, 19.94, 39.22, 15.22, 21.88, 
##     22.93, 23.27, 24.06, 36.92, 18.6, 50.9, 33.29, 21.47, 8.84, 
##     24.4, 21.13, 44.56, 36.72, 19.79, 32.52, 27.71, 12.99, 37.03, 
##     40.41, 17.48, 33.3, 17.88, 24.75, 27.46, 38.01, 32.54, 35.6, 
##     32.66, 34.2, 52.6, 41.09, 48.28, 42.02, 18.38, 17.58, 9.4, 
##     21.95, 33.22, 20.3, 38.1, 40.61, 31.11, 34.71, 30.07, 42.08, 
##     14.11, 18.28, 17.63, 33.73, 32.23, 21.03, 31.55, 36.35, 48.81, 
##     18.41, 36.11, 38.05, 38.35, 29.48, 37.64, 26.89, 29.41, 37.15, 
##     25.91, 32.64, 22.46, 39.51, 18.53, 41.23, 30.91, 19.87, 35.09, 
##     20.23, 25.7, 46.82, 25.13, 35.87, 30.99, 22.02, 20.21, 37.52, 
##     36.69, 33.32, 42.99, 26.23, 22.36, 26.35, 37.89, 23.61, 37.33, 
##     38.74, 23.51, 27.4, 24.58, 33.98, 29.34, 30.38, 32.15, 31.21, 
##     30.24, 33.85, 37.71, 43.3, 36.06, 36.86, 27.61, 37.57, 28.27, 
##     41.82, 25.59, 32.56, 47.07, 32.15, 35.67, 42.76, 34.05, 20.28, 
##     34.6, 39.75, 37.09, 28.29, 33.22, 33.61, 24.94, 32.62, 30.67, 
##     42.84, 23.48, 34.78, 13.99, 31.55, 31.18, 18.19, 20.57, 32.83, 
##     47.21, 28.78, 37.94, 36.45, 18.94, 28.44, 22.85, 27.59, 18.14, 
##     24.55, 35.43, 32.79, 16.98, 40.72, 19.64, 38.59, 37.15, 18.6, 
##     44.69, 45.32, 34.65, 24.12, 37.55, 32.83, 30.07, 37.57, 45.95, 
##     26.25, 26.69, 24.33, 39.53, 36.86, 39.92, 26.98, 26.71, 25.3, 
##     36.36, 23.09, 23.39, 29.94, 53.11, 42.13, 16.32, 33.25, 25.25, 
##     7.63, 42.67, 34.53, 36.75, 29.84, 48.38, 55.32, 17.8, 33.63, 
##     46.19, 32.11, 35.55, 30.12, 35.43, 33.05, 38.4, 40.38, 19.47, 
##     32.95, 21.32, 35.8, 26.04, 25.99, 41.17, 29.56, 28.76, 30.21, 
##     30.55, 38.25, 29.84, 29.9, 23.99, 12.02, 34.7, 19.7, 38.88, 
##     24.74, 33.78, 45.58, 32.83, 26.18, 44.1, 34.61, 35.17, 21.98, 
##     36.99, 35.51, 39.58, 21.59, 37.57, 21.66, 24.72, 31.89, 41.92, 
##     31.86, 20.93, 23.73, 26.15, 36.92, 27.17, 33.54, 31.09, 42.99, 
##     45.07, 26.15, 11.75, 34.31, 28.05, 28.56, 45.02, 16.24, 43.37, 
##     30.35, 22.76, 16.22, 46.5, 24.34, 32.44, 36.77, 26.15, 44.23, 
##     18.04, 29.7, 30.29, 33.07, 37.23, 36.52, 32.84, 45.15, 29.65, 
##     33.41, 40.94, 30.24, 22.51, 42.09, 18.73, 44.2, 20.52, 25.19, 
##     45.65, 28.59, 46.94, 33.61, 23.09, 21.81, 34.26, 41.63, 31.45, 
##     25.5, 31.37, 20.94, 25.7, 25.86, 27.3, 23.12, 39.17, 18.39, 
##     40.63, 25.6, 27.63, 23.26, 33.49, 38.32, 33.71, 40.75, 16.12, 
##     33.75, 30.23, 25.47, 29.19, 22.44, 18.99, 4.4, 19.52, 47.58, 
##     51.66, 25.57, 39.81, 26.3, 27.17, 33.71, 30.02, 29.27, 27.71, 
##     36.35, 35.56, 13.97, 27.78, 33.52, 38.05, 12.16, 26.04, 37.18, 
##     31.45, 19.47, 29.82, 35.58, 41.21, 29.41, 30.12, 32.66, 14.62, 
##     35.82, 35.05, 5.25, 39.36, 27.47, 38.86, 32.13, 23.82, 35.68, 
##     27.22, 16.41, 12.94, 29.63, 14.43, 19.87, 44.4, 28.49, 50.73, 
##     33.88, 34.39, 40.27, 23.22, 13.19, 15.76, 23.24, 20.15, 34.71, 
##     28.48, 33.95, 27.47, 33.56, 48.65, 25.48, 47.79, 35.55, 34.66, 
##     46.65, 36.31, 34.44, 21.98, 30.82, 26.57, 40.66, 34.32, 34.32, 
##     33.56, 35.63, 40.73, 35.19, 20.66, 5.97, 21.64, 34.12, 29.87, 
##     34.32, 27.85, 32.93, 58.96, 17.68, 19.06, 31.59, 31.06, 28.12, 
##     19.36, 32.45, 45.17, 30.5, 41.7, 33.12, 21.96, 39.3, 34.77, 
##     28.51, 32.25, 35.19, 10.61, 47.04, 29.33, 8.06, 32.74, 40.04, 
##     26.88, 19.62, 21.56, 17.17, 37.88, 23.95, 12.63, 32.18, 35.79, 
##     19.52, 35.77, 38.47, 41.65, 31.94, 28.19, 20.59, 27.97, 20.08, 
##     46.55, 25.5, 27.05, 33.34, 30.38, 46.63, 36.87, 16, 53.24, 
##     37.18, 23.68, 42.19, 27.81, 30.38, 41.34, 35.07, 36.52, 34.51, 
##     34.6, 48.84, 30.89, 32.18, 26.89, 40.24, 37.79, 44.13, 33.22, 
##     26.91, 44.42, 36.11, 31.64, 22.19, 40.83, 23.6, 38.61, 19.43, 
##     31.65, 31.76, 50.68, 43.59, 28.82, 30.58, 21.88, 42.59, 23.82, 
##     39.37, 28.37, 41.04, 31.93, 31.64, 19.16, 26.61, 26.18, 17.56, 
##     18.34, 38.62, 36.92, 8.13, 37.88, 33.25, 29.94, 27.25, 38.66, 
##     14.91, 18.04, 29.99, 22.13, 40.05, 44.42, 38.52, 49.61, 28.92, 
##     25.69, 38.68, 38.49, 28.97, 23.14, 36.62, 29.6, 36.92, 30.84, 
##     31.45, 37.67, 26.5, 35.45, 19.02, 24.8, 40.56, 28.66, 29.31, 
##     27.93, 21.34, 39.81, 32.59, 30.31, 30.46, 26.71, 35.24, 26.04, 
##     15.25, 23.58, 32.27, 25.09, 33.75, 30.87, 20.03, 34.44, 33.75, 
##     30.26, 39.56, 40.05, 16.51, 41.68, 19.92, 40.7, 54.67, 31.3, 
##     25.76, 35.63, 34.77, 46.22, 48.72, 23.73, 10.68, 33.49, 26.42, 
##     17.32, 35.41, 32.42, 38.13, 18, 43.59, 27.37, 28.83, 39.39, 
##     21.79, 32.22, 34.65, 25.91, 32.81, 22.22, 38.86, 30.79, 14.25, 
##     23.65, 38.86, 24.46, 31.08, 34.34, 24.41, 16.37, 37.64, 47.8, 
##     23.73, 34.94, 28.71, 25.81, 40.75, 20.96, 38.52, 40.26, 37.43, 
##     26.47, 28.54, 44.78, 24.43, 35.12, 15.69, 43.74, 27.15, 42.26, 
##     20.15, 36.43, 39.51, 20.03, 30.82, 33.54, 32.1, 26.74, 21.4, 
##     29.58, 26.44, 32.4, 41.85, 37.03, 34.8, 41.6, 36.24, 34.34, 
##     11.7, 44.57, 22.98, 51.78, 29.61, 33.69, 41.16, 31.5, 34.88, 
##     21.42, 12.05, 22.44, 33.49, 38.23, 35.41, 13.52, 12.8, 25.7, 
##     17.54, 31.6, 34.71, 35.94, 17.41, 42.86, 25.13, 29.72, 8.76, 
##     26.64, 10.98, 24.45, 25.74, 26.79, 35.51, 35.28, 27.74, 21.59, 
##     37.67, 35.92, 20.49, 33.34, 42.96, 35.22, 26.13, 38.66, 33.86, 
##     32.2, 20.62, 39.66, 16.88, 26.74, 44.97, 28.82, 8.87, 22.13, 
##     30.62, 23.92, 29.8, 32.39, 41.02, 33.12, 2.13, 28.66, 28.53, 
##     24.91, 37.64, 12.05, 27.56, 21.61, 44.95, 13.99, 25.4, 42.47, 
##     26.67, 33.46, 26.84, 18.12, 26.81, 52.36, 17.31, 24.87, 23.99, 
##     34.6, 38.03, 29.78, 50.39, 34.02, 27.42, 34.83, 31.01, 31.93, 
##     33.1, 26.38, 19.01, 26.83, 31.77, 28.44, 24.94, 34.26, 32.27, 
##     24.72, 26.13, 24.04, 27.39, 19.84, 40.32, 24.82, 22.9, 31.14, 
##     32.52, 28.65, 25.45, 33.54, 32.59, 39.46, 35.36, 26.25, 19.33, 
##     16.52, 33.52, 23.9, 22.19, 32.27, 14.18, 37.96, 29.29, 22.39, 
##     27.81, 27.71, 44.78, 34.1, 44.15, 15.3, 40.97, 27.68, 30.7, 
##     39.22, 34.09, 24.87, 35.5, 30.65, 29.97, 37.42, 26.38, 45.14, 
##     14.42, 33.12, 32.5, 14.91, 36.53, 32.2, 29.44, 29.82, 44.57, 
##     20.33, 28.39, 42.48, 29.02, 24.09, 37.35, 32.52, 33.63, 37.4, 
##     31.37, 24.36, 29.21, 15.88, 37.88, 16.52, 37.69, 20.04, 24.72, 
##     27.4, 44.73, 44.17, 28.66, 30.48, 31.31, 32.66, 40.46, 36.7, 
##     34.36, 42.99, 24.43, 32.91, 42.72, 31.81, 34.9, 19.26, 21.64, 
##     36.96, 37.26, 27.3, 24.36, 40.17, 36.09, 25.26, 30.69, 43.61, 
##     32.59, 28.22, 13.87, 27.88, 20.03, 34.24, 28.07, 20.08, 32.52, 
##     28.63, 41.65, 21.62, 36.82, 31.42, 20.69, 30.62, 24.24, 16.46, 
##     26.98, 46.04, 47.33, 30.16, 44.4, 37.47, 35.22, 21.86, 36.48, 
##     21.3, 21.61, 28.29, 29, 50.63, 20.25, 22.95, 22.95, 31.21, 
##     35.33, 31.76, 31.47, 39.59, 16.15, 35.5, 28.19, 29.5, 37.77, 
##     25.01, 12.38, 21.28, 26.78, 20.49, 41.74, 38.73, 22.41, 35.65, 
##     16.69, 23.99, 45.53, 38.35, 29.7, 33.3, 35.22, 19.99, 31.18, 
##     25.67, 29.97, 28.2, 27.39, 28.88, 25.04, 36.7, 17.54, 28.97, 
##     38.42, 30.86, 15.37, 32.22, 27.05, 36.28, 2.99, 38.66, 25.26, 
##     23.75, 35.21, 32.54, 26.66, 29.87, 28.37, 17.19, 28.71, 26.78, 
##     36.48, 27.03, 32.45, 28.17, 46.09, 44.93, 28.29, 33.27, 25.45, 
##     44.44, 24.33, 34.49, 32.33, 28.46, 23.83, 31.18, 40.66, 29.68, 
##     30.86, 40.17, 21.13, 21.2, 38.81, 41.89, 16.03, 36.65, 38.28, 
##     17.36, 37.21, 30.62, 23.14, 12.46, 15.69, 23.9, 21.34, 9.45, 
##     22.02, 46.41, 49.88, 28.44, 24.23, 20.3, 45.87, 33.73, 35.99, 
##     37.81, 29.73, 29, 28.54, 39.25, 27.37, 40.65, 17.85, 37.55, 
##     35.73, 31.13, 28.66, 32.9, 39.88, 42.31, 17.26, 39.34, 22.66, 
##     22.83, 27.63, 37.25, 34.41, 40.68, 32.22, 32.95, 32.01, 41.09, 
##     27, 42.48, 39.93, 46.27, 54.79, 36.21, 30.43, 27.59, 29.19, 
##     22.63, 27.54, 38.98, 30.69, 26.35, 37.94, 27.68, 39.03, 17.68, 
##     28.95, 38.44, 33.32, 28.12, 24.99, 26.88, 32.37, 28.34, 25.36, 
##     25.13, 22.37, 38.78, 26.38, 22.17, 45.54, 35.31, 46.6, 36.02, 
##     41.43, 11.8, 29.51, 38.2, 41.7, 48.69, 27.27, 25.33, 38.06, 
##     21.62, 29.04, 36.41, 32.67, 31.88, 24.02, 21.81, 37.64, 32.13, 
##     32.78, 27.18, 29.95, 32.69, 33.34, 37.52, 40.09, 39.05, 32.93, 
##     26.71, 41.57, 20.71, 34.9, 41.74, 34.24, 15.78, 52.22, 24.11, 
##     33.01, 34.1, 29.24, 38.49, 43.76, 22.49, 39.1, 29.24, 25.94, 
##     35.05, 28.46, 45.34, 22.93, 41.45, 14.71, 30.45, 31.91, 21.74, 
##     44.59, 24.51, 24.19, 29.87, 27.01, 32.61, 24.96, 28.17, 14.89, 
##     23.56, 42.13, 23.07, 32.81, 29.56, 30.63, 29.92, 37.15, 31.25, 
##     14.2, 48.26, 30.16, 20.16, 19.65, 42.86, 21.11, 34.58, 48.72, 
##     43.1, 36.72, 26.88, 24.43, 35.02, 33.32, 39.42, 23.66, 21.81, 
##     22.98, 28.8, 22.97, 31.65, 26.1, 24.34, 34.32, 37.86, 33.18, 
##     15.05, 39.58, 17.17, 35.92, 41.65, 35.36, 35.41, 23.85, 22.64, 
##     8.6, 26.59, 31.42, 37.94, 37.26, 40.17, 22.25, 24, 18.92, 
##     28.12, 29.77, 39.85, 33.15, 18.9, 30.31, 31.08, 34.94, 32.95, 
##     28.1, 25.77, 19.23, 24.87, 26.35, 35.02, 22.9, 20.26, 20.67, 
##     31.3, 30.96, 29.73, 29.9, 40.75, 36.28, 45.22, 15.91, 15.71, 
##     24.84, 29.04, 27.2, 33.12, 38.81, 38.96, 28.25, 27.64, 30.07, 
##     45.99, 33.01, 19.52, 51.88, 21.47, 39.22, 37.71, 24.65, 26.83, 
##     22.47, 18.09, 40.05, 39.08, 37.5, 32.69, 48.72, 37.84, 30.46, 
##     47.79, 22, 20.69, 26.27, 27.03, 23.19, 18.6, 33.51, 39.2, 
##     37.54, 37.01, 22.3, 12.53, 14.4, 15.4, 24.07, 38.17, 24.02, 
##     29.36, 23.53, 21.35, 31.38, 25.65, 21.22, 31.79, 44.85, 33.58, 
##     40.31, 40.83, 41.75, 43.52, 26.71, 23.26, 33.05, 34.63, 15.86, 
##     34.05, 39.17, 38.88, 34.54, 26.25, 26.32, 29.92, 22.05, 27.13, 
##     35.62, 20.49, 22, 49.15, 39.78, 30.94, 24.72, 37.76, 44.18, 
##     22.73, 13.84, 9.32, 35.5, 33.17, 21.13, 33.59, 21.05, 19.99, 
##     28.44, 33.8, 42.28, 25.79, 38.93, 33.24, 29.6, 26.2, 30.04, 
##     40.9, 55.47, 24.19, 17.53, 56.46, 34.61, 30.92, 30.96, 21.01, 
##     36.14, 35.67, 25.96, 36.02, 36.84, 30.63, 20.79, 39.85, 35.56, 
##     10.01, 25.04, 46.02, 36.41, 15.49, 31.6, 45, 30.5, 29.89, 
##     37.13, 33.35, 36.23, 43.32, 40.38, 28.87, 23.02, 27.12, 26.76, 
##     31.93, 32.62, 33.95, 25.76, 26.08, 27.8, 18.7, 21.37, 25.64, 
##     18.46, 27.9, 27.83, 29.63, 20.67, 33.47, 36.75, 33.73, 33.44, 
##     28.37, 22.24, 32.08, 30.06, 28.41, 29.17, 36.31, 23.19, 18.53, 
##     20.26, 47.67, 17.34, 28.63, 11.75, 41.28, 40.77, 32.74, 23.63, 
##     24.89, 26.52, 41.57, 28.36, 26.1, 13.65, 27.23, 25.19, 35.75, 
##     36.45, 37.88, 19.53, 21.2, 38.34, 35.99, 45.2, 22.9, 22.68, 
##     21.28, 33.18, 42.74, 15.9, 13.94, 44.35, 46.38, 29.43, 22.87, 
##     43.16, 22.1, 11.85, 24.36, 40.32, 32.27, 41.23, 33.95, 22.3, 
##     33.41, 33.83, 28.88, 30.8, 34.77, 26.52, 36.35, 26.86, 10.01, 
##     22.97, 30.86, 21.44, 20.11, 32.18, 47.79, 30.11, 8.23, 32.95, 
##     28.61, 37.94, 40.66, 30.94, 34.03, 24.24, 39.46, 39.12, 35.36, 
##     24.48, 41.12, 30.74, 22.49, 30.7, 16.73, 35.31, 41.19, 33.8, 
##     49.08, 32.52, 14.04, 42.26, 28.08, 35.04, 31.72, 30.84, 47.99, 
##     46.89, 23.77, 30.24, 35.48, 26.74, 32.16, 37.49, 47.28, 26.18, 
##     37.81, 44.95, 33.22, 40.94, 20.4, 41.16, 32.35, 38.27, 41.38, 
##     33.51, 21.61, 50.13, 28.31, 29.67, 34.24, 28.24, 22.19, 17.49, 
##     32.69, 37.01, 42.91, 18.75, 47.18, 26.18, 36.06, 35.09, 31.21, 
##     32.32, 11.65, 24.24, 37.88, 29.16, 30.02, 26.98, 24.57, 24.43, 
##     35.75, 51.54, 31.5, 19.02, 36.72, 29.38, 33.18, 21.91, 18.87, 
##     20.13, 36.28, 29.67, 52.68, 22.66, 16.44, 36.65, 32.79, 32.15, 
##     34.63, 30.72, 25.65, 19.24, 15.1, 48.99, 36.04, 35.22, 44.49, 
##     35.19, 19.21, 30.99, 22.36, 16.49, 33, 17.99, 17.53, 24.43, 
##     42.65, 41.53, 40.94, 30.58, 39.02, 26.84, 20.54, 39.88, 8.48, 
##     32.32, 30.6, 19.45, 31.5, 27.66, 32.81, 17.95, 26.38, 45.54, 
##     24.28, 18.46, 38.57, 29.17, 27.9, 29.56, 27.64, 25.87, 33.03, 
##     26.11, 19.64, 31.37, 24.4, 36.02, 34.73, 27.1, 5.87, 51.71, 
##     36.09, 23.14, 48.35, 33.35, 26.1, 34.87, 21.34, 19.62, 21.88, 
##     22.8, 23.26, 31.84, 20.4, 44.27, 46.84, 35.24, 33.71, 34.03, 
##     17.03, 28.05, 28.99, 13.74, 30.5, 31.25, 34.88, 46.17, 13.89, 
##     50.22, 26.79, 30.31, 27.8, 23.65, 40.82, 39.71, 27.59, 38.4, 
##     25.98, 32.62, 19.18, 19.55, 25.08, 30.6, 28.85, 30.84, 22.12, 
##     29.9, 24.19, 26.89, 29.82, 34.92, 24.31, 29.16, 19.43, 41.5, 
##     26.91, 34.05, 39.42, 26.1, 27.44, 21.62, 34.43, 38.2, 24.75, 
##     29.43, 22, 25.86, 29.33, 45, 31.31, 17.19, 20.67, 49.39, 
##     34.19, 37.76, 1.22, 45.63, 46.14, 44.83, 36.52, 19.21, 25.25, 
##     42.13, 40.22, 25.4, 36.64, 35.29, 16.95, 26.74, 35.31, 13.82, 
##     29.58, 32.35, 32.57, 24.91, 28.99, 24.63, 32.15, 21.42, 21.1, 
##     45.7, 22.61, 34.88, 40.73, 35.38, 9.78, 25.57, 27.71, 34.44, 
##     29.02, 17.32, 29.1, 18.55, 30.99, 39.76, 27.35, 28.78, 31.6, 
##     47.63, 21.39, 30.33, 15.59, 17.48, 41.6, 36.16, 23.94, 9.3, 
##     30.33, 32.18, 24.09, 40.61, 33.92, 17.48, 37.28, 41.51, 18.55, 
##     28.14, 27.91, 14.79, 34.75, 10.52, 33.73, 18.77, 31.55, 44.18, 
##     29.29, 24.16, 27.1, 50.56, 36.36, 28.75, 40.44, 32.2, 47.41, 
##     27.05, 27.47, 48.14, 28.31, 33.01, 33.56, 19.6, 20.88, 31.31, 
##     16.58, 27.27, 34.03, 31.42, 21.62, 31.45, 36.67, 25.23, 31.18, 
##     24.38, 47.57, 21.03, 34.37, 39.03, 15.37, 26.04, 22.66, 18.79, 
##     38.91, 27.1, 26.18, 29.8, 37.2, 28.63, 32.44, 20.18, 21.71, 
##     35.31, 38.66, 34.31, 32.22, 22.85, 19.14, 22.83, 19.09, 24.82, 
##     43.74, 46.33, 21.9, 33.05, 38.4, 17.92, 37.89, 34.39, 40.92, 
##     34.31, 33.86, 32.69, 32.1, 40.09, 21.85, 27.56, 32.22, 26.76, 
##     33.49, 31.13, 40.46, 26.84, 25.87, 22.46, 22.81, 25.84, 29.82, 
##     10.69, 17.14, 40.77, 35.48, 47.02, 45.85, 28.08, 30.11, 20.06, 
##     36.75, 35.9, 25.02, 27.49, 42.4, 26.71, 22.7, 24.14, 42.64, 
##     38.08, 34.05, 47.92, 27.27, 33.97, 38.15, 33.24, 22.78, 36.84, 
##     24.55, 49.37, 44.4, 34.19, 36.04, 19.45, 41.4, 40.41, 28.56, 
##     28.27, 32.25, 29.05, 39.2, 39.32, 45.22, 34.1, 30.12, 23.85, 
##     41.96, 39.13, 25.36, 39.3, 41.38, 30.4, 36.16, 31.11, 36.72, 
##     22.34, 16.66, 31.6, 17.24, 39.87, 43.5, 27.85, 24.43, 33.88, 
##     36.87, 45.2, 39.12, 27.23, 28.63, 36.02, 27.98, 25.76, 33.75, 
##     47.33, 27.2, 29.21, 24.19, 31.42, 43.11, 37.57, 27.73, 37.91, 
##     40.43, 21.42, 19.18, 40.34, 22.08, 41.91, 30.52, 27.74, 49.39, 
##     43.04, 5.78, 36.52, 43.23, 39.88, 16.75, 24.36, 18.7, 28.25, 
##     40.8, 15.15, 39.3, 0, 23.7, 8.11, 27.01, 31.13, 22.42, 34.46, 
##     35.72, 34.14, 46.9, 29.05, 28.02, 24.46, 35.92, 47.31, 36.5, 
##     37.23, 35.67, 23.48, 29.67, 22.12, 25.4, 30.26, 41.51, 29.63, 
##     23.04, 34.43, 40.15, 16.34, 32.66, 20.67, 13.19, 22.37, 27.22, 
##     19.99, 30.12, 24.26, 31.16, 25.11, 36.91, 26.62, 34.66, 31.45, 
##     28.32, 26.79, 30.53, 28.46, 43.93, 18.72, 40.07, 17.78, 43.21, 
##     34.53, 37.83, 35.89, 37.71, 44.78, 34.12, 48.26, 49.86, 26.88, 
##     25.38, 26.49, 33.64, 31.03, 33.41, 37.89, 35.94, 19.19, 20.28, 
##     35.89, 32.13, 27.25, 32.45, 36.75, 38.32, 21.57, 43.2, 33.68, 
##     42.4, 35.04, 28.31, 44.05, 27.3, 41.09, 33.44, 21.9, 22.92, 
##     27.52, 12.33, 26.93, 14.6, 43.66, 31.03, 33.78, 14.67, 37.15, 
##     28.49, 29.85, 25.43, 35.67, 28.03, 30.96, 29.16, 17.61, 29.82, 
##     27.42, 44.39, 35, 41.07, 22.88, 23.49, 40.77, 29.1, 35.97, 
##     16.15, 31.11, 23.82, 30.48, 16.32, 59.64, 24.04, 39.8, 45.97, 
##     24.06, 28.37, 26.84, 40.24, 31.65, 23.7, 21.86, 34, 28.8, 
##     32.86, 24.85, 30.75, 31.76, 43.25, 30.48, 39.8, 24.89, 36.06, 
##     32.1, 27, 34.36, 10.12, 50.92, 49.5, 35.8, 36.62, 33.3, 30.69, 
##     31.03, 37.96, 30.8, 18.79, 27.59, 30.12, 33.08, 15.56, 13.96, 
##     27.12, 0, 35.51, 30.84, 29.04, 21.47, 35.6, 53.31, 10.76, 
##     28.25, 24.16, 43.62, 13.23, 21.47, 42.55, 29.94, 40.39, 32.83, 
##     28.25, 32.84, 38.54, 36.09, 24.5, 25.38, 24.17, 25.33, 25.52, 
##     30.28, 26.37, 34.12, 42.42, 48.13, 18.55, 48.57, 32.95, 34.54, 
##     17.14, 29.26, 23.83, 32.52, 34.19, 37.32, 35.68, 27.18, 27.51, 
##     29.99, 35.82, 30.4, 44.93, 28.29, 31.69, 40.02, 28.39, 36.4, 
##     46.55, 46.27, 39.2, 45.73, 16.07, 21.23, 37.62, 40.6, 29.29, 
##     30.02, 27.22, 29.84, 19.65, 27.05, 34.82, 29.7, 25.06, 46.16, 
##     28.7, 21.22, 32.23, 33.8, 33.44, 26.27, 36.5, 55.78, 28.8, 
##     22.78, 37.42, 40.78, 26.84, 38.66, 45.24, 27.47, 30.57, 30.45, 
##     36.01, 41.77, 32.22, 33.01, 30.14, 40.34, 12.67, 31.81, 31.52, 
##     39.78, 38.83, 37.38, 44.52, 30.46, 36.72, 41.74, 6.43, 23.58, 
##     35.48, 27.97, 44.51, 26.2, 28.93, 35.14, 7.91, 37.21, 29.6, 
##     46.46, 38.4, 46.19, 30.6, 21.51, 35.45, 28.92, 35.62, 16.13, 
##     33.41, 31.76, 36.38, 22.12, 52.05, 32.4, 32.39, 29.8, 37.57, 
##     11.82, 35.77, 20.83, 23.78, 17.85, 24.53, 28.8, 32.18, 28.22, 
##     17.29, 18.65, 23.39, 14.76, 25.21, 31.04, 31.06, 32.13, 30.5, 
##     23.15, 0.44, 16.05, 33.3, 21.56, 12.55, 26.32, 38.79, 36.18, 
##     33.08, 24.09, 24.23, 33.05, 18.34, 45.66, 28.07, 36.7, 35.94, 
##     33.69, 42.09, 19.23, 21.98, 28.15, 18.84, 27.83, 25.67, 21.37, 
##     18.75, 43.91, 16.12, 44.69, 21.71, 22.07, 32.44, 29.67, 18.55, 
##     23.7, 33.42, 30.31, 33.46, 36.81, 39.47, 46.58, 22.97, 27.56, 
##     37.71, 38.47, 41.46, 26.96, 50.01, 32.86, 16, 43.81, 17.9, 
##     19.36, 50.8, 23.02, 41.79, 32.39, 33.86, 23.43, 38.66, 25.47, 
##     28.76, 35.43, 53.04, 32.4, 40.41, 22.63, 20.57, 43.72, 25.38, 
##     32.37, 45.39, 24.02, 31.37, 32.42, 30.14, 22.56, 40.26, 44.34, 
##     38.17, 39.87, 31.86, 25.21, 35.17, 28.41, 21.28, 33.03, 19.47, 
##     46.58, 34.88, 21.3, 30.11, 25.6, 29.65, 16.3, 32.96, 20.28, 
##     28.61, 29.1, 35.6, 33.66, 37.55, 31.13, 26.4, 39.13, 31.04, 
##     24.38, 38.08, 30.4, 9.86, 37.91, 37.67, 43.57, 33.81, 30.5, 
##     19.04, 31.37, 34.78, 9.21, 44.34, 22.36, 13.38, 27.91, 33.41, 
##     24.36, 22.97, 50.15, 33.27, 46.36, 35.21, 29.48, 28.46, 26.71, 
##     24.65, 32.71, 27.73, 29.99, 32.11, 46.51, 19.07, 15.84, 30.26, 
##     39.25, 32.91, 22.2, 25.48, 46.36, 16.3, 28.76, 22.51, 43.84, 
##     30.16, 54.83, 18.41, 27.44, 46.56, 15.66, 30.96, 16.56, 35.77, 
##     30.99, 33.86, 19.16, 31.21, 28.83, 15.25, 39.42, 30.67, 35.17, 
##     39.51, 24.23, 17.6, 42.6, 31.2, 53.65, 41.38, 6.87, 41.29, 
##     29.19, 24.65, 17.9, 32.01, 22, 24.57, 22.88, 40.78, 28.76, 
##     21.79, 26.28, 21.27, 36.98, 37.94, 24.79, 42.94, 38.25, 44.3, 
##     26.98, 30.11, 20.23, 28.93, 34.83, 26.27, 24.79, 23.14, 28.87, 
##     9.71, 35.29, 14.81, 20.21, 29.21, 35.89, 35.63, 29.94, 26.59, 
##     27.03, 20.66, 35.73, 24.89, 13.63, 9.89, 24.23, 29.95, 10.63, 
##     32.25, 32.35, 34.87, 33.97, 36.16, 31.64, 32.71, 29.1, 29.22, 
##     16.35, 44.37, 31.59, 10.3, 29.26, 24.43, 35.68, 19.48, 33.13, 
##     45.46, 23.19, 49.95, 35.68, 24.77, 20.35, 33.27, 23.65, 33.75, 
##     30.79, 28.93, 21.03, 31.11, 32.49, 23.48, 38.79, 18.11, 24.77, 
##     48.18, 33.81, 24.8, 43.44, 20.45, 23.29, 37.03, 31.94, 48.69, 
##     40.53, 45.1, 30.72, 36.48, 38.98, 44.68, 32.64, 20.93, 39.41, 
##     39.46, 33.51, 41.58, 17.24, 33.32, 47.26, 32.66, 22.98, 34.88, 
##     25.25, 55.2, 29.1, 13.09, 32.98, 16.42, 14.57, 38.78, 21.39, 
##     19.86, 15.83, 24.02, 21.86, 34.88, 38.25, 25.45, 33.98, 31.42, 
##     40.05, 44.97, 38.42, 41, 28.59, 27.29, 45.27, 39.32, 31.14, 
##     38, 20.96, 21.22, 27.37, 17.39, 19.57, 21.88, 36.81, 17.6, 
##     35.5, 35.07, 24.19, 39.13, 31.94, 29.26, 40.77, 35.5, 46.95, 
##     10.61, 43.76, 35.89, 35.16, 36.45, 22.63, 38.08, 18.63, 28.03, 
##     28.99, 37.3, 14.96, 40.21, 37.77, 23.15, 29.38, 27.3, 25.19, 
##     25.6, 41.31, 26.15, 28.66, 27.2, 26.28, 20.08, 21.25, 27.15, 
##     34.34, 31.77, 35.56, 27.68, 26.16, 41.29, 35.29, 35.99, 26.23, 
##     23.07, 31.74, 26.93, 29.9, 27.49, 32.42, 24.84, 14.57, 33.54, 
##     46.1, 31.81, 46.78, 26.55, 37.42, 26.74, 36.7, 28.53, 32.28, 
##     26.38, 21.15, 32.86, 28.65, 30.58, 32.28, 26.69, 15.22, 40.65, 
##     48.96, 31.45, 21.42, 44.69, 25.02, 32.03, 37.71, 32.18, 27.93, 
##     32.79, 22.66, 34.65, 23.89, 46.58, 26.21, 21.32, 25.5, 32.11, 
##     22.59, 16.95, 28.46, 41.23, 46.44, 31.71, 33.64, 23.36, 41.68, 
##     51.07, 22.29, 29.67, 15.15, 24.29, 25.74, 28.99, 26.54, 14.59, 
##     38.66, 23.51, 47.8, 16.12, 26.03, 41.65, 37.77, 34.26, 25.36, 
##     27.46, 25.33, 41, 28.7, 37.21, 38.23, 19.64, 40.07, 41.11, 
##     35.19, 36.57, 29.16, 32.3, 39.87, 25.11, 13.79, 36.52, 41.68, 
##     30.82, 26.44, 40.19, 15.9, 24.74, 29.63, 24.55, 31.62, 22.59, 
##     36.99, 23.85, 36.92, 34.22, 29.97, 30.12, 22.59, 16.25, 36.7, 
##     31.77, 10, 28.82, 36.36, 36.72, 36.6, 26.96, 44.29, 35.6, 
##     8.69, 37.59, 33.52, 31.74, 20.81, 38.83, 41.68, 34.34, 19.86, 
##     13.57, 25.65, 33.86, 28.31, 27.54, 28.63, 33.12, 39.78, 15.74, 
##     29.22, 39.97, 47.48, 24.41, 24.19, 39.08, 35, 30.97, 23.44, 
##     19.7, 16.07, 27.08, 31.88, 28.22, 17.29, 23.8, 10.59, 40.26, 
##     45.15, 27.42, 37.4, 30.55, 41.09, 34.32, 36.18, 28.51, 22.32, 
##     20.57, 31.84, 26.28, 52.17, 19.65, 16.41, 36.43, 47.26, 35.67, 
##     40.05, 34.78, 29.87, 33.18, 29.33, 26.95, 39.7, 10.74, 24.75, 
##     48.98, 15.64, 39.15, 28.58, 41.33, 42.28, 28.92, 27.03, 12.27, 
##     26.21, 29.58, 36.99, 9.32, 16.69, 38.71, 25.53, 33.37, 42.6, 
##     55.51, 21.05, 56.83, 38.79, 20.66, 31.82, 32.32, 35.82, 14.82, 
##     25.45, 41.6, 42.26, 30.36, 30.19, 30.38, 22.81, 19.4, 31.62, 
##     31.09, 24.34, 22.27, 28.14, 41.96, 23.63, 25.77, 27.2, 16.69, 
##     34.75, 38.2, 25.11, 26.5, 21.91, 28.82, 19.62, 40.83, 30.91, 
##     26.18, 36.94, 37.83, 25.86, 36.57, 21.42, 27.69, 28.66, 25.81, 
##     40.22, 25.93, 38.62, 41.68, 31.81, 19.81, 33.05, 28.19, 37.32, 
##     54.81, 54.79, 29.36, 24.94, 28.99, 33.93, 18.67, 21.57, 35.28, 
##     35.68, 25.11, 23.02, 40.51, 9.32, 1.12, 30.55, 34.83, 42.77, 
##     56.07, 27.88, 15.22, 32.49, 28.63, 24.62, 21.3, 48.77, 28.82, 
##     29.58, 36.53, 17.56, 41.8, 37.76, 32.59, 39.75, 30.65, 31.45, 
##     22.54, 35.87, 44.22, 42.45, 34.97, 19.67, 40.21, 45.68, 24.02, 
##     28.41, 29.29, 20.91, 31.38, 30.96, 47.21, 45.88, 8.23, 47.6, 
##     20.91, 18.36, 39.73, 37.86, 53.04, 31.89, 30.43, 24.74, 26.79, 
##     39.95, 18.62, 49.05, 50.03, 38.28, 25.19, 30.46, 27.12, 17.6, 
##     43.04, 29.89, 18.56, 24.87, 26.89, 30.87, 9.45, 37.2, 26.72, 
##     18.99, 21.08, 50.2, 30.33, 32.33, 28.73, 32.62, 36.92, 38.95, 
##     47.52, 40.26, 26.91, 37.72, 35.34, 38.78, 44.03, 39.51, 33.52, 
##     23.77, 36.43, 28.49, 46.22, 29.68, 10.2, 41.31, 30.69, 42.69, 
##     34, 35.97, 39.29, 31.37, 29.02, 28.78, 23.15, 29.02, 36.43, 
##     9.89, 30.24, 30.75, 27.54, 28.29, 40.78, 43.42, 14.98, 39.44, 
##     37.59, 47.01, 14.48, 23.77, 29.63, 15.67, 30.11, 26.57, 29.02, 
##     20.77, 34.94, 41.8, 35, 21.25, 31.38, 29.89, 23.09, 31.42, 
##     26.57, 39.81, 30.4, 39.13, 23.97, 44.98, 46.26, 31.4, 25.69, 
##     13.33, 11.75, 29.94, 37.43, 12.1, 15.62, 26.83, 32.18, 41.5, 
##     34.65, 20.59, 17.56, 35.17, 32.23, 37.98, 37.59, 24.5, 36.92, 
##     33.34, 43.86, 42.76, 38.23, 33.64, 19.87, 43.61, 47.87, 26.18, 
##     52.21, 24.87, 19.33, 43.2, 13.5, 37.4, 43.32, 19.52, 34.58, 
##     48.14, 29.8, 35.31, 25.11, 24.21, 28.56, 25.96, 51.87, 18.99, 
##     29.31, 19.18, 27.54, 30.67, 22.68, 25.28, 28.32, 25.45, 36.53, 
##     36.75, 25.01, 36.89, 45.19, 30.6, 21.54, 27.3, 15.25, 13.29, 
##     18.68, 41.62, 27.4, 33.69, 23.43, 36.45, 23.92, 29.33, 34.87, 
##     38.95, 39.22, 36.28, 41.12, 43.37, 40.85, 21.9, 33.22, 34.48, 
##     31.47, 25.84, 41.17, 15.42, 32.86, 34.6, 29.58, 32.52, 39.98, 
##     26.37, 31.48, 31.3, 44.61, 22.9, 37.59, 42.43, 43.57, 24, 
##     25.45, 49.15, 54.59, 49.79, 40.94, 43.21, 10.64, 39.2, 35.05, 
##     19.64, 27.83, 23.31, 12.94, 37.67, 35.55, 32.3, 44.08, 29.87, 
##     23.02, 24.96, 23.63, 24.77, 18.62, 35.21, 28.61, 23.63, 24.53, 
##     28.99, 25.89, 16.69, 26.38, 42.02, 35.33, 39.68, 36.65, 26.72, 
##     31.23, 34.85, 20.74, 42.28, 37.64, 32.23, 3.32, 27.97, 37.54, 
##     27.12, 24.12, 35.11, 24.02, 35.96, 42.72, 26.16, 38.56, 17.34, 
##     23.77, 39.76, 38.34, 37.33, 17.71, 25.36, 30.24, 37.67, 32.27, 
##     40.89, 28.41, 53.91, 51.05, 23.99, 26.78, 30.6, 27.34, 35.14, 
##     28.46, 23.48, 16.73, 31.03, 35.72, 1.34, 41.72, 33.42, 59.76, 
##     31.14, 23.55, 28.14, 23.58, 34.94, 28.49, 41.79, 10.69, 34.05, 
##     26.52, 32.57, 18.34, 28.61, 20.35, 20.28, 23.32, 24.21, 35.34, 
##     20.89, 36.65, 39.19, 37.52, 42.99, 48.08, 33.59, 24.45, 28.36, 
##     39.58, 33.17, 30.96, 38.78, 33.92, 32.88, 24.97, 31.16, 23.14, 
##     44.85, 19.14, 11.68, 37.74, 33.52, 43.55, 13.92, 19.55, 23.36, 
##     38.51, 18.67, 30.75, 35.33, 37.42, 19.04, 34.31, 32.54, 33.46, 
##     26.35, 33.49, 38.45, 24.62, 23.48, 42.3, 12.04, 23.7, 32.81, 
##     47.84, 31.38, 14.64, 45.68, 23.31, 45.03, 37.72, 14.89, 31.3, 
##     22.51, 34.02, 37.06, 14.06, 19.24, 25.69, 18.97, 25.77, 32.74, 
##     28.41, 21.13, 14.64, 29.07, 26.59, 29.41, 29, 30.33, 35.73, 
##     15.2, 18.85, 27.18, 37.01, 37.33, 13.65, 25.36, 29.87, 18.12, 
##     37.89, 33.83, 40.78, 37.03, 36.26, 43.37, 27.88, 29.5, 39.32, 
##     35.75, 24.58, 23.58, 24.92, 37.6, 41.67, 38.73, 42.26, 31.69, 
##     25.38, 26.71, 29.22, 22.37, 23.82, 44.78, 21.28, 47.67, 27.12, 
##     14.21, 45.24, 34.68, 36.21, 28.2, 14.69, 14.62, 19.91, 40.26, 
##     28.63, 37.43, 21.03, 19.84, 25.28, 33.39, 27, 35.24, 18.53, 
##     43.03, 25.02, 25.16, 46.17, 18.31, 30.6, 20.23, 36.84, 18.11, 
##     37.88, 39, 25.35, 39.85, 39.54, 39.46, 26.79, 30.01), c(141.1, 
##     190.3, 251.6, 206, 113.6, 138.3, 174.2, 179.4, 173.7, 152.4, 
##     197.5, 169.8, 190.6, 234.2, 214.2, 169.6, 347.3, 210, 92, 
##     247, 262.5, 197, 106.8, 210.7, 275, 207.6, 236.1, 204.5, 
##     289.7, 190.7, 124.7, 194, 190.3, 58.6, 178.6, 239.3, 209.3, 
##     236, 203.7, 174.6, 218.5, 194, 204.5, 147.4, 120.3, 107.9, 
##     106.2, 205.1, 162.7, 225.2, 249.5, 180.2, 114.7, 198.7, 215, 
##     233.9, 161.8, 148.3, 254.4, 264.6, 269.5, 211.8, 221.1, 213.9, 
##     137.3, 212.2, 228.1, 110.7, 211.9, 230.1, 214.9, 272.7, 253.2, 
##     151.3, 161.7, 179.3, 264.1, 108.5, 211.7, 209.8, 97.3, 174.4, 
##     203.8, 152.9, 240.5, 240.5, 85, 203.2, 180.4, 243.3, 349.4, 
##     152.1, 280.4, 137.9, 199.8, 127.5, 154.7, 163.5, 143.8, 238.4, 
##     212.2, 230.4, 287.9, 183.6, 211.2, 174.1, 203.8, 261.1, 215.5, 
##     244.9, 76.4, 223.2, 203.8, 242, 140.7, 198.5, 240, 243.5, 
##     130.8, 172.2, 205.1, 203.9, 183.6, 118.1, 175.7, 77.1, 205.6, 
##     145.4, 93.7, 201.1, 250.2, 232.4, 233.4, 213.9, 233, 135.8, 
##     188.2, 247.2, 184.7, 125.9, 318.8, 237.7, 200.2, 257.2, 294.6, 
##     261.7, 153.6, 141.5, 137.6, 214.1, 109.2, 208.2, 175.9, 134.7, 
##     172.7, 226.2, 208.5, 166.6, 223.5, 175.1, 166.2, 188.5, 202.5, 
##     245, 207.3, 129.4, 235.5, 235.8, 177.1, 144.1, 188, 286.2, 
##     215.3, 247.9, 278, 251, 193.8, 254.9, 204.3, 229.2, 187.3, 
##     231.5, 225.4, 253.3, 251.2, 164.3, 47.3, 204.8, 229.7, 220.8, 
##     190.9, 273.2, 138.3, 231.1, 258.4, 120, 186.9, 238.6, 218, 
##     272.4, 158.6, 196.4, 223.6, 221.9, 223.9, 195.5, 162.1, 131.2, 
##     133.1, 205.5, 173.3, 278.2, 284.7, 184, 180, 229.7, 267.1, 
##     216.8, 161.5, 114, 77.2, 295.8, 292.1, 253.6, 152.9, 193.1, 
##     262.3, 149.3, 244.4, 172.5, 153.6, 108.2, 259.7, 155.8, 146.5, 
##     267.9, 202.9, 249, 159.3, 225.3, 154, 86.8, 235.1, 235.5, 
##     134.3, 169.9, 157, 238.8, 196.3, 284.3, 276.3, 125.1, 189.7, 
##     161.8, 201.6, 216.7, 146.8, 267.1, 188.8, 216.3, 258.2, 80.8, 
##     226.1, 173.3, 198.3, 213.4, 248.7, 207, 179.2, 227.2, 275.5, 
##     154.6, 198.2, 206.4, 168.8, 241.8, 202.3, 194, 217.6, 208.2, 
##     273.2, 218.6, 179.5, 256.6, 216.6, 173.5, 219.2, 163.7, 165.9, 
##     176.6, 246.1, 206.4, 143.1, 311.9, 266.2, 263, 201.3, 170, 
##     167.9, 209.9, 226.5, 264.4, 240.6, 109.4, 129.5, 149.3, 134.5, 
##     234, 165.8, 92.3, 141.4, 245.6, 163.5, 242.4, 255.6, 209.1, 
##     119.6, 199.9, 129.1, 241.4, 133.2, 220.3, 193.5, 196.8, 215.8, 
##     245.3, 103.1, 238.3, 240.5, 226.8, 214.5, 249.8, 205.5, 197.4, 
##     146.2, 213.3, 250.7, 171.3, 208.4, 256.6, 204.3, 202.7, 255.9, 
##     147.1, 271.2, 152.9, 206.4, 226.8, 173.4, 237.3, 219.1, 224.5, 
##     223.5, 260.3, 227.3, 109.7, 263, 163.6, 179.6, 143.6, 211.5, 
##     187.1, 108.1, 256.1, 163.7, 226.2, 166.6, 134, 166.9, 309.2, 
##     114.7, 180.5, 135.4, 151.4, 221.3, 165.4, 209.4, 209.9, 160.9, 
##     244, 246.2, 260.5, 188.3, 230.5, 195.1, 117, 170.2, 192.3, 
##     163.2, 176, 200, 215.4, 234.7, 195.5, 143.8, 185.2, 289.9, 
##     205.2, 264.1, 236.6, 137.5, 162.5, 199.2, 200.1, 224.2, 209.4, 
##     106.5, 208.4, 248.1, 165.7, 239.8, 231.5, 276.4, 211.7, 140.2, 
##     286.3, 236, 249.3, 185.5, 150, 202.3, 134.4, 122.1, 141.9, 
##     169.8, 200, 180, 209.7, 345.1, 298.4, 148.2, 314.4, 235.9, 
##     216.5, 212.5, 228.4, 194.6, 153.8, 208.3, 161, 179.7, 193.8, 
##     302.6, 270.4, 238.2, 255.6, 209.6, 210.2, 313.2, 93.7, 135.8, 
##     252.2, 228, 118.7, 153.4, 116.7, 232.9, 183.7, 210.7, 141.6, 
##     280.4, 170.2, 249.2, 181.6, 142.3, 221.5, 183.9, 207.2, 84, 
##     95.6, 133.2, 156, 161, 156, 167.3, 320.6, 248.1, 156.7, 202.4, 
##     185.9, 231.2, 168.3, 200.2, 216.6, 141.2, 228.6, 196.4, 252.6, 
##     189.9, 245.7, 231.4, 157.2, 132.8, 209.9, 254.3, 207.9, 252.2, 
##     169.9, 156.3, 119.4, 145.2, 173.4, 195.5, 225.1, 216.3, 225.9, 
##     158, 202.1, 246.6, 211, 269.2, 260.3, 186.4, 196.8, 126.1, 
##     272.3, 228.5, 196.6, 289.2, 141.8, 206.3, 169.5, 83.4, 312.2, 
##     187.2, 170.7, 247.7, 207.5, 202, 240.5, 167.6, 212.5, 238.6, 
##     238.4, 153.2, 235.3, 196.9, 259.3, 211.2, 208.7, 257, 182, 
##     188.9, 147.9, 214.9, 187.7, 228.9, 143.4, 185.4, 156.2, 296.1, 
##     245, 78.3, 189.2, 238, 96.6, 190.4, 106.5, 242.6, 259.6, 
##     167.9, 152.8, 207.3, 187.5, 215.7, 199.7, 249.4, 162.6, 177, 
##     271.7, 144.1, 230, 183.1, 180.5, 198.5, 200.4, 129.6, 264.9, 
##     217.1, 211, 184.1, 161.7, 149.7, 129.1, 144.8, 151.5, 248.7, 
##     157.2, 198.6, 203.5, 194.8, 173.8, 199.5, 242.3, 233.2, 186.2, 
##     195.9, 221.4, 160.5, 185.4, 193, 168.2, 96.8, 222.9, 155, 
##     213.7, 236.2, 214.1, 169.1, 300.3, 177, 329.3, 210.1, 229.4, 
##     213.2, 205.9, 189.6, 189.7, 241.1, 236.2, 140.3, 210.2, 218.7, 
##     209.2, 147.9, 144.6, 236.7, 125.6, 177.2, 167.8, 223.5, 286.7, 
##     208.5, 246.3, 139, 211.7, 247.4, 159.9, 134.1, 139.2, 163.9, 
##     209.9, 212.5, 202.9, 196.5, 290.2, 227.2, 262, 272.2, 214.3, 
##     221.5, 179.1, 159.6, 272.8, 150.6, 220, 308.7, 187.7, 206.9, 
##     187.2, 186.6, 211.3, 177.6, 182, 192.8, 210.6, 119.2, 173, 
##     128.7, 257.2, 168.8, 201.8, 126.4, 208.6, 190.2, 90, 260.2, 
##     204, 224.5, 167.7, 222.4, 194.5, 263.2, 233.2, 266.7, 179.3, 
##     151.7, 139.5, 204, 130.7, 243.2, 171.4, 354.2, 195.7, 209.2, 
##     233.7, 210.6, 158, 170.2, 235.2, 242.5, 201.1, 165.4, 180.8, 
##     240.8, 156, 180.6, 263, 303.4, 207.5, 61.9, 184.5, 141.6, 
##     132, 189.3, 196.1, 171.6, 153.7, 283.7, 261.5, 312.8, 115.6, 
##     139.6, 181.5, 143.7, 213.9, 341.3, 98.3, 173.5, 235.6, 200.7, 
##     132.5, 193, 280.1, 271.3, 165.8, 199.7, 303.7, 146.9, 189.3, 
##     164.7, 148.9, 268.2, 226.3, 238.8, 196.1, 214.8, 292.6, 102.8, 
##     225.4, 177, 256.4, 127, 75.3, 267.4, 139.1, 167.3, 141.8, 
##     218.4, 183.6, 148.6, 233.4, 225.8, 222, 231.8, 178.5, 245.8, 
##     160.7, 191, 127.6, 138.9, 182, 212.7, 245.4, 159.6, 228.2, 
##     229.7, 230, 203.2, 187.5, 201.4, 238.7, 259.9, 248.9, 278.3, 
##     119.3, 112.7, 237.8, 220.1, 262.3, 230.2, 330.6, 145.2, 208.9, 
##     141.1, 101.9, 170.5, 136.7, 140, 288.4, 203.4, 252.3, 198.2, 
##     149.7, 224.6, 221.8, 203.8, 252.2, 233.9, 207.3, 167, 219, 
##     138.8, 147.5, 193.1, 175.2, 246.9, 223.2, 194.5, 179.1, 197.8, 
##     224, 200.3, 266.5, 348.5, 238.3, 181.2, 250.5, 106.2, 206.9, 
##     135.1, 150.2, 167.3, 134.4, 256.1, 174.8, 141.9, 105.7, 270.4, 
##     172.1, 270, 217.9, 214.4, 235.2, 175, 198.5, 211.3, 213.7, 
##     209.8, 266.5, 189.5, 179.2, 263.5, 203.8, 122.5, 258.7, 196.7, 
##     244.7, 190.2, 264.8, 267.1, 188.1, 192.2, 111.6, 204.2, 138.8, 
##     215.2, 203.8, 256.9, 138.1, 205.5, 187.8, 109.7, 64.3, 223.3, 
##     246.5, 260.5, 222.5, 143.5, 208.3, 271.4, 130, 177, 267.8, 
##     243, 134.2, 91.2, 132, 182.8, 132.3, 141.8, 127.8, 82.2, 
##     133.9, 155.1, 160.9, 205, 228.7, 174.4, 247.8, 275.6, 213.2, 
##     229.3, 118.9, 269.1, 164.2, 229.7, 213.2, 159.7, 276.4, 149.9, 
##     215.6, 218.1, 176.9, 249.3, 285.2, 249.1, 157.5, 164.4, 199.7, 
##     163, 143.4, 249, 216.6, 75.5, 225.8, 269.7, 156.9, 127.8, 
##     176.5, 195.7, 252.4, 175.2, 206.9, 165.4, 103.3, 172.8, 217.4, 
##     141.4, 169.3, 182, 240.9, 246.2, 246.7, 264, 141.1, 172.1, 
##     177.9, 197.4, 304.4, 101.3, 231.5, 249.7, 155.5, 245.4, 163.7, 
##     266.9, 146.9, 166.4, 207.2, 183.8, 169.8, 221.9, 266.3, 123.3, 
##     179.2, 123.5, 160.6, 254.6, 186.3, 148.9, 131, 260.3, 180.7, 
##     156.3, 190, 192.8, 131.2, 200.3, 172.3, 219.4, 210.5, 307.2, 
##     220.4, 128.8, 283.3, 123.5, 127.6, 200.6, 237.7, 155.2, 118, 
##     182.5, 225, 197.7, 190, 228, 121, 223.1, 184, 155.5, 214.3, 
##     273, 119, 165.4, 197.5, 222.8, 110.7, 304.2, 281.7, 238.9, 
##     42.5, 147.3, 180, 174.8, 279.6, 252.8, 206.5, 81.9, 223.1, 
##     232.2, 199, 293.1, 177.8, 120.4, 187, 162.7, 161.6, 219.1, 
##     257.7, 159.7, 163.3, 240.1, 242.3, 244.8, 166.8, 116.6, 163.4, 
##     203.7, 228.8, 98.3, 281.7, 161.4, 190.4, 248.9, 249.8, 260.7, 
##     215.6, 260, 187, 266.9, 195.5, 248.5, 303.1, 231.4, 221.3, 
##     210, 210.2, 171.2, 200.7, 257.5, 183.3, 214.2, 154.5, 270.5, 
##     193.4, 292.4, 157.6, 80.6, 126.9, 127.8, 243.1, 257.9, 188.9, 
##     242.1, 189.4, 223.9, 123.4, 187.2, 170.9, 143.7, 189.4, 267.3, 
##     198.6, 133.9, 169.6, 202.8, 136, 259.4, 188.5, 181.7, 156.3, 
##     295.7, 146.9, 230.3, 256.3, 253, 180.8, 251.3, 271.2, 168.6, 
##     226.8, 177.8, 186.6, 249.5, 197, 157.9, 276.5, 246.5, 196, 
##     145.3, 161.4, 47.3, 143, 259.9, 213.4, 239.4, 188.7, 178.4, 
##     179.9, 156.1, 232.9, 237.6, 203.7, 253.1, 167.8, 191.6, 142.3, 
##     115.2, 166.2, 243.2, 155.6, 175.8, 217.5, 177.3, 205.3, 204.5, 
##     135.3, 172.4, 274.3, 250.7, 157.6, 186.9, 186.4, 228.7, 221.5, 
##     119.6, 89.8, 202.5, 236.8, 215.7, 52.9, 211, 280.3, 216.3, 
##     115, 192.3, 211.2, 237.3, 178.6, 147, 292.8, 230.9, 150.9, 
##     247.6, 288, 216.3, 221.3, 250.6, 231.9, 286, 233.9, 212.1, 
##     168.3, 152.4, 224.6, 211.6, 80.9, 153, 142, 120.5, 221.1, 
##     257.7, 253.4, 201.3, 214.5, 230.9, 245.1, 117.6, 146.1, 209.6, 
##     223.3, 223.6, 206.4, 248.6, 198.6, 280, 140.2, 185.5, 138.5, 
##     235.8, 194.4, 138.7, 178.9, 180.5, 245, 159.4, 221.5, 211.5, 
##     218.3, 157.6, 158.8, 290.9, 236.8, 220.9, 88.5, 214.3, 193.3, 
##     244.7, 234.9, 276.8, 350.5, 272.9, 138.2, 176.8, 204.5, 253.8, 
##     223.3, 157.1, 198, 190.3, 197.7, 148.1, 178, 246, 230.5, 
##     233.7, 161.2, 216.7, 241.4, 282.6, 283.3, 302, 137.3, 210.8, 
##     138.6, 205.8, 123.4, 284.1, 267.8, 220.7, 256.8, 163, 163.1, 
##     294.6, 208.2, 177.7, 228, 101.5, 227.7, 259.4, 251.6, 204.9, 
##     248.7, 193.1, 162.4, 171.4, 223.2, 124.2, 170.4, 219.2, 164.1, 
##     193.3, 253.6, 177.7, 185.7, 189.6, 273.9, 244.9, 58.9, 225.1, 
##     274.5, 207, 283.1, 166.2, 250, 186.1, 208.4, 229.5, 240.2, 
##     237.9, 132.8, 194.9, 229.3, 243.2, 278, 179.6, 313.4, 178.2, 
##     332.8, 224.3, 226.3, 229.6, 282.9, 130.4, 164.9, 167.1, 261.1, 
##     185.4, 243.7, 235.5, 170.7, 224.9, 193.1, 134.5, 197.5, 174.9, 
##     177.8, 289.8, 187.4, 199.2, 200.5, 305.8, 217.4, 162.8, 196.4, 
##     281.1, 133.1, 220.1, 202.4, 220.6, 143.1, 168, 224, 213.9, 
##     168.1, 165.2, 242, 157.6, 235, 139.1, 235.2, 225.3, 184.8, 
##     144.3, 166.7, 173.3, 190.4, 250, 236.7, 164.1, 179.9, 228.4, 
##     236.3, 216.8, 205.9, 184.5, 225.3, 226.1, 276.8, 219.6, 164, 
##     236.5, 176.1, 199.6, 152.4, 184.3, 145.2, 201, 271.7, 323.2, 
##     231.8, 228.4, 210, 296.5, 221.1, 292.5, 188.6, 73.2, 123.2, 
##     219, 282.8, 209.8, 270.5, 220.9, 179.2, 124, 220.1, 195.2, 
##     257.2, 210.9, 144.3, 179.6, 146.6, 170.9, 256.6, 175.6, 211, 
##     284.5, 276.1, 134.5, 217.6, 228.3, 219.6, 167.2, 123.9, 261.9, 
##     122.2, 254.2, 180.8, 147.4, 298.6, 247.8, 348.9, 162.5, 147.2, 
##     116.4, 205.2, 199.2, 214.8, 126, 220.6, 201, 214.7, 246, 
##     210.9, 214.1, 239.6, 161.5, 256.3, 230, 274, 124.2, 271.5, 
##     209.1, 137.8, 123.9, 198.8, 213.8, 213.1, 109.7, 180, 179.2, 
##     216.4, 297.2, 104.5, 167.6, 193, 150.7, 185, 210.6, 165.1, 
##     186.2, 156, 172.8, 131.2, 115.5, 232.2, 212.5, 266.2, 239.6, 
##     146.7, 203.9, 179.1, 289.5, 152.7, 276.3, 231.8, 229.6, 190.9, 
##     256.8, 159.9, 218.7, 225.3, 208, 201, 182.2, 244.5, 119.7, 
##     136.7, 167.2, 163.9, 278.2, 218.4, 145.7, 149.5, 197.4, 157, 
##     278.7, 174.1, 242.5, 193.1, 232.3, 186.8, 167.3, 221, 179.9, 
##     351.6, 230.7, 240.7, 252, 148.2, 155.6, 193, 164.5, 334.1, 
##     204.2, 279.3, 242.3, 168.6, 208.9, 256.8, 163.6, 278.5, 200.6, 
##     231.6, 284.3, 221, 238.2, 207.2, 158, 171, 197.9, 222.3, 
##     213.8, 149.4, 202, 195.5, 190.8, 191.1, 131.1, 242.4, 199.5, 
##     284.2, 174.5, 268.1, 243.6, 216.2, 246.5, 267, 144.3, 193.9, 
##     217.1, 216.9, 241.6, 190.8, 160.6, 184, 235.5, 208.2, 170.6, 
##     181.7, 220.4, 252.2, 215.2, 209.1, 276.4, 256, 248.3, 205.2, 
##     167.6, 172.1, 234.3, 259.1, 196, 287.7, 159, 176.3, 303.5, 
##     123.5, 261, 213, 191, 291.2, 175.4, 192.8, 244.3, 162.5, 
##     161, 186.4, 205.4, 224.5, 176.3, 292.7, 169.5, 136.7, 183.6, 
##     186.7, 211.4, 316.4, 135.4, 148, 227, 254.1, 159.2, 237.6, 
##     131.4, 93.4, 235.9, 170.6, 190.3, 158.4, 240.1, 124.8, 254.5, 
##     248.5, 199.9, 201.3, 189.8, 241.6, 204.9, 161.7, 248, 210.8, 
##     202.6, 162, 361.8, 171.5, 211.8, 221.8, 214.4, 235.8, 223.8, 
##     251.7, 126.3, 226.6, 257.4, 237, 216.4, 317, 208.8, 162.5, 
##     154.5, 239.6, 178.6, 262.2, 233.2, 170.1, 269.1, 235.5, 176.6, 
##     130.7, 195.9, 270.7, 250.4, 141.9, 182, 181.5, 193.4, 215.1, 
##     219.5, 299.9, 152.5, 204.2, 161.4, 250.1, 178.6, 128.9, 242.7, 
##     92.6, 215.5, 174.1, 163.9, 231.4, 273.3, 227, 216.9, 139.2, 
##     185.8, 262, 162.1, 190.7, 187.4, 208, 243.5, 251.6, 279.6, 
##     191.2, 160.1, 259.2, 220.2, 200.7, 170.8, 193.8, 168, 184.1, 
##     155.5, 159.2, 151.5, 230.7, 223.4, 218.4, 206.6, 214.7, 168.5, 
##     211.8, 254.5, 255.4, 239.9, 230.4, 226.2, 200, 212.5, 144.5, 
##     171.4, 199.5, 184.5, 241.9, 175.3, 183.2, 290.3, 138.1, 170.9, 
##     187.7, 201.5, 186, 280.1, 165.7, 181.5, 215.6, 148.3, 161.9, 
##     182.6, 179.3, 136.4, 135.9, 219.9, 223, 191.3, 144.1, 224.3, 
##     60, 190.8, 91.7, 294, 122.9, 178.2, 102.6, 49.2, 155.7, 130.7, 
##     236.7, 253, 165.4, 146.6, 253.6, 197.1, 198.7, 179.2, 234.4, 
##     179.9, 196, 199.9, 228.3, 177.8, 202.8, 336, 183.2, 213.1, 
##     161.2, 89.3, 166.7, 192.7, 109.6, 271.2, 138.6, 191.3, 242.1, 
##     152.5, 276.4, 234.7, 261.1, 144.5, 103.2, 224, 208.9, 256.4, 
##     172.7, 158.2, 248.4, 83.9, 285.2, 190.6, 163.4, 271.2, 198.9, 
##     226.7, 231.5, 154.8, 242.8, 148.7, 171.7, 215.6, 266.9, 199, 
##     159.1, 223, 200.8, 234.8, 167.7, 201.3, 112.7, 183.4, 221.1, 
##     192, 204.7, 199.6, 167.8, 215.7, 266.2, 168.6, 101, 117.9, 
##     232.3, 315.1, 297.8, 198.1, 322.7, 165.9, 191.4, 215.3, 285.9, 
##     184.9, 227.3, 258.3, 219.1, 88.1, 212.3, 277, 179.8, 279.5, 
##     183.5, 240, 105.6, 180.4, 234.8, 169.4, 245.6, 217.2, 201.4, 
##     130.4, 195, 216.5, 167, 152.8, 203.4, 167.7, 109.4, 115.7, 
##     171.9, 155.3, 210.5, 263.5, 189, 193.7, 298.5, 202.6, 198.5, 
##     219.4, 168.8, 255.9, 133.4, 186, 235.9, 228.4, 165.3, 327, 
##     180.4, 248.2, 225.3, 212.8, 204.7, 130.1, 193.8, 219, 277.4, 
##     199.5, 189.4, 209.9, 152.6, 142.8, 238.8, 227.8, 227, 230, 
##     174, 150, 156.5, 166.8, 319.4, 166, 294.3, 160, 169.9, 240.1, 
##     227.9, 144.4, 211.1, 147.3, 315.3, 190.3, 210.7, 198, 199, 
##     125.8, 193.6, 233.3, 202.5, 101.3, 165.9, 219.4, 265.7, 231.7, 
##     162.9, 160.5, 249.9, 170.6, 207.9, 200.7, 134.9, 344, 158.9, 
##     213, 196, 268.6, 282.2, 141.4, 251.3, 228.7, 264.2, 107.6, 
##     173, 187.4, 268.8, 179.4, 176, 192.9, 199.6, 201.2, 225, 
##     168.7, 235.8, 221.4, 171.5, 277.9, 177.5, 212.6, 109.6, 227.8, 
##     251.3, 233.8, 223.9, 216.1, 129.3, 276.8, 245, 187.8, 263.7, 
##     173, 142.1, 214, 277.1, 164.5, 226.5, 196.3, 194.7, 230.1, 
##     172.3, 178.5, 221, 171.6, 174.6, 195.3, 244.1, 204.2, 165.1, 
##     306.3, 275, 151, 161.7, 233.5, 211.5, 229.4, 172.7, 196.6, 
##     212.4, 215.1, 152.7, 83.4, 118.8, 179.3, 116.6, 305.5, 244.8, 
##     200.7, 181.2, 179.3, 212, 216.5, 181.1, 217.5, 236.7, 306.8, 
##     206.2, 153.5, 211.1, 183.1, 237.1, 119.7, 117.9, 149.2, 269.8, 
##     205.8, 242.2, 198.5, 203.1, 141.5, 207.6, 295.9, 325.2, 317.7, 
##     113.2, 254.1, 108.3, 137.1, 215.6, 210.9, 124.3, 221.2, 223.7, 
##     210.4, 196, 222.9, 219.4, 234.9, 170, 265.8, 168.3, 174.4, 
##     113.3, 225.9, 230.3, 234.1, 251.8, 184, 250.7, 176.6, 160.5, 
##     206.2, 143.5, 251.7, 199.9, 159.8, 161.8, 241.8, 211.7, 203, 
##     239.7, 188.3, 246.3, 236.1, 132.9, 189.7, 121, 177.8, 126.4, 
##     225.1, 213.3, 125.2, 168.5, 216.5, 240.3, 119.7, 184.2, 185.3, 
##     250.4, 180.5, 222.6, 235.6, 213.3, 98.5, 227.4, 158.6, 291.3, 
##     209.4, 193.2, 139.6, 256.8, 265.1, 197, 169.6, 134.1, 205.1, 
##     274.7, 253.8, 155.9, 236.1, 218.1, 139.7, 151.7, 270.9, 144.7, 
##     150, 200.3, 118.7, 286.8, 327.1, 212, 198.9, 181.6, 129.4, 
##     288.8, 273.4, 216.6, 249.6, 217.5, 350.9, 195.5, 203.8, 138.5, 
##     224.4, 119.3, 170.6, 246.6, 222, 145.8, 152, 189.5, 253.8, 
##     119.3, 212.8, 257.7, 184.4, 180.8, 268.1, 329.8, 327, 222.8, 
##     204.9, 212.6, 79.5, 191, 256.6, 199.2, 161.4, 130.1, 247.7, 
##     165.7, 268.4, 232.7, 97.6, 79.3, 249.5, 107.9, 129.3, 273.5, 
##     187.8, 166.5, 131.8, 207.3, 276.6, 128, 256.7, 274.5, 337.1, 
##     85.4, 163.2, 160, 172.7, 160.5, 262.3, 273, 192.2, 170.5, 
##     219.1, 223, 207.6, 193.4, 193.4, 244.4, 219.8, 144.1, 234.5, 
##     245.6, 200.3, 185.7, 193.8, 200.6, 219.7, 313.9, 212.6, 187.8, 
##     191, 185.5, 109.6, 227.1, 226.6, 163.7, 181.8, 167.4, 169.2, 
##     328.2, 222.3, 213.1, 227.2, 43.9, 243, 75.6, 171.4, 322.3, 
##     75.9, 149.8, 157.7, 163.9, 169.8, 214.9, 150.7, 223.2, 207, 
##     183.9, 208, 292, 89.8, 258.2, 268.3, 263.3, 272.3, 206.4, 
##     182.2, 205, 206, 287.4, 152.3, 137.2, 243.2, 262.1, 218.1, 
##     172, 223.5, 224.6, 188.8, 91, 192.3, 306.6, 228.4, 163.8, 
##     157, 176.5, 197.6, 232.7, 266.2, 209.9, 169.5, 195.1, 200.8, 
##     270.8, 213.6, 208.2, 225.8, 198.4, 279.3, 268.8, 213.8, 317.2, 
##     173.7, 195.7, 93.6, 164.7, 200.8, 229.4, 203, 232.1, 280.6, 
##     235, 143.7, 246, 180.4, 168, 279.3, 299.1, 242.8, 304.2, 
##     199.4, 122.3, 175.7, 212.9, 131.8, 167.7, 247.2, 222.1, 204.5, 
##     197.9, 190, 134.9, 193.4, 204.4, 199.8, 246.9, 213.2, 253.6, 
##     160.1, 287.3, 163.6, 221.1, 241.4, 192, 230.9, 203.9, 157.3, 
##     215.5, 142.6, 305, 312.6, 263.2, 191.3, 158.4, 170.7, 160.6, 
##     221.8, 222.2, 190.4, 186.5, 173.8, 187, 114.5, 255.1, 220.9, 
##     131.8, 161.9, 152.7, 145.1, 197.5, 199.7, 220.6, 217.2, 252.7, 
##     205.6, 169.9, 277.5, 151.3, 178.2, 238.5, 192.8, 246.6, 196.6, 
##     240.6, 182.1, 188, 265.5, 230.5, 238.4, 118.8, 240.2, 223.1, 
##     185.6, 231.4, 139.8, 153.2, 144.2, 225.9, 209.7, 220.5, 244.4, 
##     182.7, 193.7, 281.7, 106.4, 306.4, 228.6, 256.1, 168.3, 233.5, 
##     268.3, 161.4, 135, 137.8, 218.2, 262, 217.4, 286.2, 155.4, 
##     193.6, 219.1, 262.6, 264.7, 242.9, 219.7, 176.2, 174, 183.4, 
##     179.5, 118.4, 239.8, 219.8, 247.6, 148.7, 190.2, 149.8, 187.5, 
##     162.6, 183, 173.4, 124, 224.7, 211.3, 167.5, 260.4, 285.9, 
##     128.9, 175.1, 162.9, 232.5, 244.4, 170.6, 242, 170, 248.7, 
##     248.5, 158.9, 132.3, 276.2, 231.7, 185, 223.2, 160.7, 210, 
##     94.4, 153.3, 242.8, 161, 177.5, 205.1, 188.4, 196.7, 176, 
##     304.9, 204.9, 152.4, 124.4, 202.3, 204.8, 203, 184.8, 288.9, 
##     208.7, 238.3, 162.8, 214.8, 262, 195.4, 269.4, 225, 175.1, 
##     88.7, 216.9, 176, 188.4, 212.1, 176.3, 167.8, 269.3, 199.4, 
##     164.5, 259.6, 227.1, 247.5, 211.9, 274.9, 159.5, 231, 233.8, 
##     221.9, 275.5, 220.1, 207.6, 193.9, 206, 248.1, 363.7, 237.7, 
##     161.9, 207.6, 209.5, 184.9, 219.6, 241.6, 152.5, 233.5, 220.4, 
##     240.6, 293.9, 167.1, 159.5, 156.3, 206, 144.3, 160.7, 253.9, 
##     250.8, 303.5, 31.2, 232.8, 236.8, 207.1, 192.4, 158.2, 142.4, 
##     201.4, 261.3, 171.7, 214.6, 164.1, 142.6, 294.8, 187.8, 196.1, 
##     193.6, 174.8, 121.2, 167.9, 225.2, 187, 186.9, 219.7, 240.7, 
##     232.5, 249.1, 237.3, 140.9, 134.9, 173.1, 194.8, 207.4, 215.8, 
##     287.6, 267.5, 123.3, 274.4, 262.8, 131.7, 270.6, 81, 209.5, 
##     177.1, 118.7, 198.6, 253.3, 151, 291.7, 227, 208.9, 202.4, 
##     232.6, 176.7, 173.3, 195.5, 191.9, 167.6, 253, 201, 278.6, 
##     209.7, 78.9, 268.3, 200.3, 309.1, 181.9, 279.4, 141, 126.8, 
##     267.8, 192.1, 159.1, 264.4, 280.4, 232.6, 167.6, 224.9, 177.3, 
##     181.4, 203, 184.7, 229.9, 210.3, 165.7, 93.4, 262.9, 241.9, 
##     155, 175.7, 224.2, 167, 189.8, 233.6, 199.7, 140.2, 146, 
##     142.5, 273.9, 246.8, 169.9, 267.6, 207, 290.4, 256.7, 214, 
##     209.3, 205.4, 201.4, 222.7, 236, 247.6, 187.6, 249.5, 226.3, 
##     256.4, 262.8, 258.6, 126.8, 169, 223, 149.5, 228.1, 217, 
##     177.8, 206.9, 108.2, 151.9, 264.2, 137.1, 188.5, 322.2, 187.1, 
##     103.7, 168.1, 232.1, 175.1, 205, 249.9, 224.8, 211.5, 227.8, 
##     191.7, 229.9, 208.7, 185.7, 187.1, 180, 215.9, 236.1, 195.8, 
##     224.6, 78.3, 124, 185.2, 142, 205.9, 157.3, 204.1, 151.2, 
##     204, 142.2, 193.9, 230.1, 201.9, 146.7, 238.7, 134.2, 113, 
##     161.8, 167.9, 171.3, 210.4, 204.2, 188.8, 238.5, 155.3, 250.3, 
##     170.9, 277.4, 138.9, 206.8, 176.4, 128.9, 145.7, 216.9, 167.9, 
##     72.9, 223.4, 252.7, 117, 216.5, 163, 237.4, 245.1, 196.4, 
##     154.9, 155, 263.5, 189.6, 223.8, 191.7, 107.9, 157.2, 128.3, 
##     261.5, 134.3, 173.7, 159.3, 178.6, 163.1, 196.5, 189.4, 171.7, 
##     352.1, 229.4, 257.2, 226.7, 234.2, 249.2, 204.8, 89.1, 117.9, 
##     181.5, 167.1, 344.9, 227.8, 244, 270.5, 119.9, 219.9, 201.2, 
##     247.1, 159.6, 214.8, 164.5, 233.4, 209.6, 211.5, 263.2, 177.3, 
##     255.3, 193, 225.2, 144.4, 168.8, 260.6, 174.9, 192.4, 206.4, 
##     217.6, 194.4, 168.4, 238, 249.8, 273.6, 262.4, 131, 264.7, 
##     146.5, 160.8, 212.5, 259.7, 185.4, 115.7, 167.5, 197.6, 152.5, 
##     230, 228, 213.9, 250.7, 216.5, 222.1, 249.8, 236.8, 273, 
##     224.9, 238.7, 141.2, 202.8, 186.7, 206.9, 160.9, 209.1, 240.5, 
##     237.1, 122.9, 185.6, 233.7, 191.8, 300.5, 157.8, 230, 224.2, 
##     221.6, 208.4, 210.6, 163.2, 269.8, 193.9, 232.1, 262.8, 216.3, 
##     241.4, 241.7, 251.6, 203.7, 272, 214.2, 314.3, 151.7, 240.5, 
##     174.5, 234.3, 177.1, 234, 268.5, 225.2, 123, 173.2, 196.6, 
##     230.9, 241.9, 103.8, 193.8, 211.8, 154, 200.8, 148.5, 191.4, 
##     249.5, 163.3, 143.3, 148.1, 175.2, 224.1, 231.8, 155.3, 256.9, 
##     173.3, 230.9, 220.6, 123.4, 187.5, 281.1, 186, 237.5, 209.6, 
##     263.6, 243.1, 189.1, 145, 123.8, 173, 216.6, 172.8, 315.8, 
##     241.3, 176.3, 209.9, 196, 189.7, 237.3, 205.5, 262.3, 160.7, 
##     220.9, 176.6, 273.3, 223.6, 180.6, 331.3, 197.2, 220.9, 233.9, 
##     202.8, 223.8, 162, 108.1, 181.6, 154.5, 197.2, 118.5, 232.5, 
##     165.1, 254, 136.2, 228.6, 293.6, 143.4, 261.8, 214.2, 204.1, 
##     199.8, 205.6, 208.3, 190.3, 140.4, 178.2, 240.8, 211.1, 150.8, 
##     147.1, 256.3, 294.4, 142.7, 136.1, 199.2, 175, 120.6, 275.9, 
##     182.4, 306, 283.2, 149.5, 182.9, 183.4, 196, 236.8, 187.1, 
##     223.7, 180.6, 264.4, 173.5, 251.8, 244.7, 162.8, 185, 171.8, 
##     210.6, 306.2, 133, 211.2, 232.5, 169, 147.6, 156.5, 197.4, 
##     271.8, 207.3, 138.8, 135.4, 164.2, 187.3, 187.7, 182.5, 164.4, 
##     216.8, 326.1, 180, 152.3, 154.7, 256.3, 270.4, 224.3, 242.2, 
##     158.1, 204.3, 168, 272.5, 241.6, 152.8, 204.6, 265.3, 163.7, 
##     191.2, 164.2, 177.8, 184.2, 167.7, 188.4, 206.4, 123.6, 175.1, 
##     231.8, 99.5, 141.2, 194, 147.4, 265.8, 261.6, 189.8, 215.1, 
##     87.6, 193.6, 237.4, 190.2, 242.2, 147.4, 265.7, 177.5, 188.6, 
##     289.4, 97.5, 226, 67.5, 110.1, 126.2, 180.2, 207, 275.4, 
##     208, 209, 205.2, 303.2, 258.1, 174.8, 225.6, 196.2, 175.8, 
##     211.3, 205.2, 223.6, 141.9, 236.4, 200.1, 213.7, 223.5, 162.6, 
##     230.3, 212.7, 249.4, 201, 153.6, 114.6, 154.8, 197.6, 153.8, 
##     167.6, 148.7, 208.1, 256.1, 224.9, 159.5, 224.6, 121.6, 220.7, 
##     240.3, 204.6, 168.3, 220.6, 278.6, 163, 134.9, 203.6, 225.5, 
##     199.2, 214.7, 217.7, 152.6, 264.1, 260.1, 211.8, 194, 224.4, 
##     191, 176.1, 117.9, 187.9, 170.5, 208.9, 273.8, 172.4, 209.8, 
##     110.4, 175.8, 187.2, 243.8, 159.8, 180.5, 175.1, 218.9, 271.5, 
##     171.7, 245.6, 209.6, 258.5, 127.5, 192.2, 340.3, 244.2, 246.1, 
##     198.4, 194, 144.3, 155.2, 135.2, 216.2, 223.1, 302.6, 173.7, 
##     199.7, 229, 202.1, 228.3, 301.7, 223.5, 228.8, 199.7, 233.4, 
##     255.1, 271.4, 199.4, 196.4, 219, 202.1, 195.7, 145, 222.2, 
##     178.9, 194.5, 160.5, 308, 257.5, 254.3, 187, 173.9, 198.4, 
##     178.9, 144.2, 86.8, 165.9, 211.7, 170.9, 158, 209, 191.6, 
##     204.2, 219.9, 169.6, 121.9, 220.5, 189.7, 209.1, 146.2, 266.6, 
##     215.9, 192.4, 103, 206.7, 129.2, 164.5, 263.7, 104.8, 202.9, 
##     224.1, 274, 208.2, 224.4, 240.4, 217, 189.7, 197, 205.7, 
##     246.5, 147.6, 173.7, 235.1, 177.4, 215.8, 239.1, 158.4, 150.6, 
##     168.2, 227.8, 188.8, 159.1, 194.7, 253.2, 312.9, 152.5, 231.7, 
##     219.4, 236.4, 185.8, 161.7, 241, 315.4, 247.7, 276.5, 207.7, 
##     178.9, 246.1, 134.6, 216.2, 154.8, 191.3, 211.1, 134.6, 248.6, 
##     194.8, 194, 304.6, 174.3, 224.7, 287.3, 207.8, 210.4, 187.5, 
##     188.8, 170, 133, 190.9, 135.2, 211.3, 227.1, 250.3, 319.3, 
##     213.7, 154.9, 122.8, 220.4, 200.5, 165.9, 285.9, 132.9, 165.8, 
##     169.9, 232, 176.7, 286, 138, 221.2, 192, 137.6, 126.5, 193.2, 
##     225.7, 145.9, 163.1, 218.5, 177.8, 183.1, 237, 308.7, 169.1, 
##     191.8, 234, 176.3, 184.5, 147.3, 109.6, 235.3, 155.4, 174.7, 
##     182.6, 165.3, 163.2, 220.1, 170.9, 152.7, 271.7, 183, 216.5, 
##     335, 188, 192.8, 216.1, 183.5, 196.2, 221.6, 264.5, 213.5, 
##     286.1, 180.2, 215.5, 200.4, 242, 217, 212.9, 193.9, 235.3, 
##     179.7, 240.1, 203.9, 189.2, 110.4, 208.8, 179.3, 180.1, 255.8, 
##     325.8, 205.8, 175.9, 175.2, 165.9, 161.7, 239.3, 182.3, 185.5, 
##     247.8, 87.8, 186.8, 192.2, 268.6, 261.5, 285.9, 203.9, 67, 
##     183.1, 121.5, 162.3, 211.1, 190.2, 181.5, 176.7, 217.2, 210.8, 
##     176.2, 213.7, 226.6, 221.6, 186.4, 217.2, 180.3, 165.3, 146.4, 
##     236, 302.3, 219.1, 234.1, 265, 223.1, 129.2, 210.6, 214.2, 
##     235.8, 116.5, 211.5, 208, 191.9, 252.2, 136.9, 170.5, 154.9, 
##     138.9, 153.1, 116.6, 216.5, 259.3, 245.2, 226.7, 165.5, 182.4, 
##     192.3, 287.3, 183.4, 228.4, 171.3, 264.6, 262.3, 208.2, 279, 
##     235.3, 303.2, 203.7, 259.2, 123.5, 168.1, 167.6, 145.4, 196.5, 
##     219.5, 112.9, 151.9, 225.1, 242.4, 220, 102.4, 286.3, 208.6, 
##     178.6, 188.5, 220, 223.8, 145.1, 159, 168.9, 123.1, 313.6, 
##     161.8, 126, 236.2, 324.7, 185.1, 292.7, 209.4, 177.6, 235.3, 
##     196.8, 201.6, 141.8, 194.8, 202.4, 257.1, 212.3, 192.6, 111.3, 
##     178.2, 170.6, 241.4, 236.1, 223.2, 153.7, 275, 186.4, 208.8, 
##     124.4, 207.7, 276.6, 251.6, 154.7, 189.8, 234.1, 242.9, 218.9, 
##     177.1, 184.2, 243.3, 237.7, 145.8, 208.5, 176.7, 164.1, 115.9, 
##     136, 152.3, 229.5, 276.5, 294.7, 187.7, 220.2, 197.1, 258, 
##     253.6, 165.6, 204, 236.7, 220, 271.8, 167.9, 173.4, 112.3, 
##     161.3, 169.4, 147.5, 198.3, 162.7, 185.7, 136.8, 41.7, 176.3, 
##     319, 192.1, 249.2, 220.1, 195.6, 181.1, 137.4, 169.3, 212.5, 
##     203.1, 199.1, 213.1, 296.8, 233.7, 165, 161.5, 66, 292.4, 
##     169.9, 237.7, 228.9, 206.3, 224.9, 198.1, 175.4, 307.2, 239.6, 
##     134.5, 184.1, 161.2, 201.4, 157.6, 178.7, 230.3, 198.6, 278, 
##     216.1, 171.5, 89.3, 249.4, 147, 243.6, 298, 103.6, 197.5, 
##     252.4, 258.4, 254.1, 250.2, 186.1, 186.7, 190, 144, 283.2, 
##     222, 120.1, 203.5, 118.2, 214.3, 189.6, 166.9, 182.8, 226.1, 
##     283.3, 238.1, 193.7, 239.8, 359.3, 299.8, 210.2, 197.6, 208.3, 
##     229.4, 339.9, 149.6, 276, 200.6, 240.6, 260.8, 212, 241.1, 
##     197.7, 245.9, 240.1, 199.4, 176.2, 221.6, 199.9, 224.9, 198.8, 
##     189, 256.5, 185.1, 136.1, 127.8, 236, 301, 154.3, 131.6, 
##     318.7, 237.2, 148.8, 169.7, 115.3, 37.8, 281.1, 202.2, 133.9, 
##     241.9, 207.9, 105.8, 129.4, 201.4, 272.6, 217.7, 194.1, 267.3, 
##     286.1, 203.4, 172.1, 256.8, 159.6, 283.2, 240.8, 174.1, 210.8, 
##     206.6, 153.1, 171.8, 234.6, 213.2, 288.7, 148.3, 247.7, 237.3, 
##     262.1, 127.4, 247, 197.7, 111.1, 200.9, 190.8, 172.4, 203.2, 
##     263.4, 164.2, 254.7, 172, 176.3, 166.9, 211.9, 168.1, 215.9, 
##     268.5, 219.2, 231.9, 243.8, 102.2, 183.9, 224.1, 178.3, 205.4, 
##     106.9, 182.4, 200.5, 191.1, 178.6, 220.9, 179.1, 250.1, 138.7, 
##     175.1, 194.9, 247.5, 76.8, 142.3, 22.3, 175.9, 126.1, 110.8, 
##     195.6, 230.4, 58.3, 186.6, 211.2, 249.1, 115.7, 109.9, 167.2, 
##     209.5, 210.8, 209.3, 294.5, 193.7, 155, 251.4, 130.6, 273.1, 
##     199, 178.4, 186.7, 250.9, 264.1, 268.5, 168, 137.4, 214.7, 
##     136.3, 162, 188.4, 181.6, 198.4, 203.2, 174.9, 203.4, 205.1, 
##     260.2, 210.6, 262.4, 171.7, 193.2, 236.7, 167.6, 145.5, 185.5, 
##     246.5, 212.8, 188.2, 165.6, 276.5, 222.1, 152.7, 198.9, 289.4, 
##     216.6, 157.5, 180.2, 144.7, 217.3, 143.4, 192.6, 226.7, 239.7, 
##     241.3, 210.6, 215, 318.7, 190.8, 257.5, 188, 133.9, 205.6, 
##     218.8, 241.2, 129.4, 223.9, 259, 218.8, 160, 288.7, 222.2, 
##     199.7, 152.3, 285.1, 292.7, 155.5, 171.9, 179.8, 253.4, 220.8, 
##     60.8, 159.1, 181, 286.3, 261.5, 195.2, 198.5, 203.3, 148.2, 
##     207.1, 176.2, 145.2, 276.9, 164.6, 203.9, 154.6, 165.8, 193.8, 
##     258.8, 226.1, 207.5, 208.1, 289.6, 209.4, 257.1, 220.6, 239.7, 
##     170.4, 159.4, 194.6, 295.3, 160.2, 252.4, 258.1, 149.1, 182.2, 
##     150.1, 265.5, 199.7, 144.5, 262, 180.6, 224.1, 176.4, 226.2, 
##     207.3, 210.8, 290.3, 288.4, 106.1, 196.1, 175.2, 184.6, 205.9, 
##     310, 120.2, 191, 332.1, 208.5, 212.4, 132.9, 156.4, 206.5, 
##     165, 140.3, 195.5, 168.7, 195.7, 296.4, 105.5, 196.3, 270.6, 
##     165.4, 220.2, 251.8, 249.5, 179, 140.9, 147.9, 148.5, 195.4, 
##     201, 176.2, 152, 184.6, 252.5, 140.7, 127.9, 270.2, 247.2, 
##     218.9, 182, 210.4, 272.9, 112.8, 153.9, 285.2, 163.3, 280.5, 
##     154.4, 224.8, 181, 224.7, 189.6, 229, 119.3, 174.6, 143.8, 
##     158.2, 187.5, 204.7, 248.9, 136.4, 260.3, 117.7, 206.8, 126.8, 
##     153.2, 205.5, 257.5, 208.9, 176, 264.7, 202.9, 216.9, 276.1, 
##     181.1, 187, 221.2, 231.8, 223.9, 165.9, 126.2, 233.5, 233.5, 
##     216.2, 265.8, 217.7, 178.4, 246.3, 246.5, 274.8, 212.4, 303.4, 
##     261.5, 164.6, 156, 207.5, 116.9, 114.3, 205.1, 181.4, 103.4, 
##     114.9, 209.2, 215.9, 249.9, 160.7, 253.8, 137.8, 237.6, 141.6, 
##     223.5, 209.5, 182.2, 268.2, 193.7, 200.1, 167.4, 254.9, 142.4, 
##     201, 181.6, 206.2, 260.1, 140.3, 215.6, 261.8, 224.8, 202.2, 
##     166.8, 227.9, 145.5, 155.7, 281.2, 112.7, 262, 194.5, 254.1, 
##     300.9, 184, 157.5, 269.9, 211.7, 213.3, 155.4, 135.2, 177.5, 
##     173, 259.8, 183.9, 171, 209.4, 144.8, 184.4, 227.3, 288.9, 
##     115.6, 172.2, 245.7, 303.3, 153.3, 260.7, 258.9, 284.8, 172.6, 
##     75.5, 261.6, 214.7, 189.6, 230.6, 153.1, 168.3, 224.7, 195.8, 
##     258.8, 280.3, 172.8, 213.6, 195.8, 156.4, 148.9, 173.4, 200.2, 
##     172.4, 159, 137, 157.9, 230.3, 230.9, 179.4, 167.2, 120.9, 
##     182, 168.5, 191.1, 212.2, 189.1, 215.5, 235.4, 158.4, 187.5, 
##     88.3, 133.2, 145.9, 167.3, 280.9, 264.8, 207.9, 259.3, 210.1, 
##     160.1, 149.6, 156, 188.9, 224.2, 187.5, 233.9, 225.7, 215.9, 
##     219.5, 207.2, 279.3, 153.2, 292.3, 247, 198.6), c(102, 132, 
##     88, 90, 102, 114, 139, 98, 85, 108, 107, 94, 104, 136, 98, 
##     105, 113, 101, 107, 136, 77, 94, 131, 80, 86, 142, 70, 110, 
##     106, 95, 105, 105, 103, 118, 76, 115, 105, 117, 107, 94, 
##     116, 73, 121, 93, 95, 125, 95, 78, 138, 74, 104, 103, 122, 
##     101, 96, 115, 97, 91, 67, 44, 122, 91, 100, 115, 102, 129, 
##     124, 111, 73, 116, 131, 106, 83, 107, 117, 88, 100, 118, 
##     115, 83, 129, 115, 92, 100, 119, 103, 110, 88, 131, 111, 
##     99, 94, 68, 93, 111, 92, 85, 104, 111, 127, 102, 88, 131, 
##     102, 67, 100, 110, 52, 110, 107, 134, 117, 90, 114, 100, 
##     88, 138, 121, 111, 108, 48, 103, 80, 76, 125, 85, 117, 143, 
##     88, 106, 115, 87, 132, 84, 104, 91, 107, 101, 128, 75, 119, 
##     98, 121, 130, 72, 132, 106, 90, 94, 99, 86, 147, 87, 102, 
##     125, 110, 116, 67, 118, 103, 94, 104, 89, 135, 76, 112, 108, 
##     121, 103, 105, 116, 86, 93, 81, 60, 113, 98, 110, 106, 109, 
##     110, 125, 75, 64, 65, 83, 102, 97, 127, 134, 104, 88, 155, 
##     73, 81, 94, 75, 114, 125, 100, 98, 112, 133, 126, 115, 91, 
##     95, 80, 85, 147, 108, 122, 111, 131, 89, 110, 104, 93, 96, 
##     143, 100, 89, 138, 83, 112, 112, 93, 100, 88, 143, 106, 87, 
##     108, 82, 110, 108, 136, 127, 99, 123, 109, 122, 149, 128, 
##     65, 110, 91, 101, 119, 119, 75, 65, 118, 124, 122, 131, 106, 
##     120, 104, 93, 84, 103, 80, 99, 94, 89, 87, 142, 132, 138, 
##     90, 97, 94, 87, 98, 92, 98, 105, 105, 118, 125, 85, 159, 
##     82, 123, 95, 86, 91, 86, 110, 147, 105, 112, 126, 123, 84, 
##     87, 96, 93, 92, 80, 126, 131, 114, 114, 104, 105, 123, 116, 
##     88, 123, 71, 75, 106, 115, 92, 122, 126, 117, 75, 105, 87, 
##     118, 111, 68, 105, 94, 102, 101, 107, 108, 144, 88, 116, 
##     82, 72, 87, 88, 94, 111, 103, 62, 101, 93, 123, 115, 88, 
##     62, 88, 105, 96, 111, 105, 103, 132, 72, 69, 136, 84, 107, 
##     109, 91, 113, 97, 108, 104, 114, 114, 129, 105, 116, 73, 
##     122, 97, 89, 76, 111, 71, 115, 78, 99, 102, 88, 86, 77, 110, 
##     102, 97, 126, 98, 101, 127, 112, 74, 94, 94, 94, 100, 123, 
##     95, 111, 128, 99, 85, 97, 81, 97, 103, 125, 100, 81, 101, 
##     84, 105, 104, 104, 138, 97, 98, 104, 101, 121, 94, 87, 86, 
##     135, 114, 111, 132, 105, 124, 109, 91, 103, 109, 117, 83, 
##     104, 81, 105, 75, 144, 71, 92, 133, 85, 108, 107, 92, 121, 
##     100, 83, 119, 106, 55, 105, 85, 103, 123, 87, 99, 89, 95, 
##     101, 76, 122, 115, 67, 122, 74, 103, 138, 98, 102, 84, 128, 
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##     80, 89, 120, 113, 113, 140, 95, 111, 107, 114, 106, 124, 
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##     100, 122, 121, 123, 107, 95, 127, 94, 67, 129, 130, 101, 
##     107, 94, 82, 107, 125, 58, 84, 81, 123, 76, 97, 102, 106, 
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##     114, 138, 117, 75, 97, 142, 109, 91, 132, 94, 155, 91, 79, 
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##     100, 73, 101, 125, 114, 116, 84, 89, 131, 116, 102, 96, 90, 
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##     103, 66, 101, 90, 114, 117, 69, 99, 157, 74, 75, 75, 96, 
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##     106, 79, 111, 80, 113, 115, 123, 113, 118, 74, 109, 91, 95, 
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##     115, 125, 124, 132, 93, 97, 85, 92, 77, 139, 56, 93, 106, 
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##     134, 135, 62, 72, 77, 102, 90, 65, 127, 85, 112, 79, 105, 
##     111, 106, 110, 109, 144, 141, 78, 109, 102, 80, 102, 84, 
##     113, 55, 87, 103, 134, 80, 110, 117, 102, 107, 130, 99, 93, 
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##     127, 114, 106, 72, 109, 91, 83, 113, 67, 100, 105, 114, 147, 
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##     103, 109, 96, 128, 82, 121, 133, 119, 107, 109, 109, 101, 
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##     92, 111, 91, 101, 119, 139, 118, 100, 102, 98, 108, 103, 
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##     86, 140, 90, 134, 91, 79, 109, 106, 52, 123, 105, 100, 81, 
##     70, 120, 118, 113, 128, 121, 113, 101, 107, 134, 116, 88, 
##     71, 60, 68, 96, 97, 73, 83, 54, 94, 74, 101, 86, 121, 105, 
##     85, 61, 100, 107, 95, 108, 88, 110, 101, 69, 120, 99, 73, 
##     73, 67, 84, 60, 100, 114, 96, 107, 125, 85, 81, 131, 101, 
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##     113, 89, 114, 103, 142, 100, 82, 86, 88, 112, 95, 76, 91, 
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##     101, 170, 80, 117, 68, 110, 91, 136, 87, 102, 118, 93, 117, 
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##     102, 118, 94, 122, 134, 97, 105, 117, 128, 105, 106, 82, 
##     107, 101, 101, 123, 150, 87, 137, 80, 121, 121, 68, 101, 
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##     104, 87, 135, 84, 89, 107, 93, 136, 85, 91, 87, 113, 126, 
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##     123, 80, 72, 92, 87, 108, 132, 89, 100, 128, 107, 80, 100, 
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##     114, 88, 111, 93, 100, 68, 104, 112, 106, 77, 63, 85, 102, 
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##     64, 121, 80, 111, 125, 92, 105, 85, 82, 115, 109, 79, 118, 
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##     116, 116, 115, 89, 136, 108, 111, 88, 112, 69, 85, 103, 73, 
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##     112, 114, 112, 112, 99, 78, 83, 98, 91, 127, 120, 97, 87, 
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##     104, 102, 101, 113, 122, 109, 103, 109, 106, 84, 103, 74, 
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##     107, 104, 109, 85, 116, 125, 93, 120, 101, 83, 37, 93, 115, 
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##     76, 106, 115, 119, 102, 122, 93, 91, 119, 114, 74, 69, 93, 
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##     100, 125, 66, 109, 111, 71, 81, 120, 94, 130, 107, 86, 111, 
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##     102, 100, 88, 76, 66, 64, 67, 104, 100, 70, 85, 100, 110, 
##     97, 127, 109, 100, 69, 101, 79, 123, 91, 92, 61, 112, 107, 
##     108, 102, 117, 91, 68, 125, 137, 88, 105, 90, 91, 105, 120, 
##     94, 96, 128, 131, 104, 82, 108, 104, 108, 113, 106, 91, 109, 
##     115, 112, 96, 136), c(11.99, 16.18, 21.39, 17.51, 9.66, 11.76, 
##     14.81, 15.25, 14.76, 12.95, 16.79, 14.43, 16.2, 19.91, 18.21, 
##     14.42, 29.52, 17.85, 7.82, 21, 22.31, 16.75, 9.08, 17.91, 
##     23.38, 17.65, 20.07, 17.38, 24.62, 16.21, 10.6, 16.49, 16.18, 
##     4.98, 15.18, 20.34, 17.79, 20.06, 17.31, 14.84, 18.57, 16.49, 
##     17.38, 12.53, 10.23, 9.17, 9.03, 17.43, 13.83, 19.14, 21.21, 
##     15.32, 9.75, 16.89, 18.28, 19.88, 13.75, 12.61, 21.62, 22.49, 
##     22.91, 18, 18.79, 18.18, 11.67, 18.04, 19.39, 9.41, 18.01, 
##     19.56, 18.27, 23.18, 21.52, 12.86, 13.74, 15.24, 22.45, 9.22, 
##     17.99, 17.83, 8.27, 14.82, 17.32, 13, 20.44, 20.44, 7.23, 
##     17.27, 15.33, 20.68, 29.7, 12.93, 23.83, 11.72, 16.98, 10.84, 
##     13.15, 13.9, 12.22, 20.26, 18.04, 19.58, 24.47, 15.61, 17.95, 
##     14.8, 17.32, 22.19, 18.32, 20.82, 6.49, 18.97, 17.32, 20.57, 
##     11.96, 16.87, 20.4, 20.7, 11.12, 14.64, 17.43, 17.33, 15.61, 
##     10.04, 14.93, 6.55, 17.48, 12.36, 7.96, 17.09, 21.27, 19.75, 
##     19.84, 18.18, 19.81, 11.54, 16, 21.01, 15.7, 10.7, 27.1, 
##     20.2, 17.02, 21.86, 25.04, 22.24, 13.06, 12.03, 11.7, 18.2, 
##     9.28, 17.7, 14.95, 11.45, 14.68, 19.23, 17.72, 14.16, 19, 
##     14.88, 14.13, 16.02, 17.21, 20.83, 17.62, 11, 20.02, 20.04, 
##     15.05, 12.25, 15.98, 24.33, 18.3, 21.07, 23.63, 21.34, 16.47, 
##     21.67, 17.37, 19.48, 15.92, 19.68, 19.16, 21.53, 21.35, 13.97, 
##     4.02, 17.41, 19.52, 18.77, 16.23, 23.22, 11.76, 19.64, 21.96, 
##     10.2, 15.89, 20.28, 18.53, 23.15, 13.48, 16.69, 19.01, 18.86, 
##     19.03, 16.62, 13.78, 11.15, 11.31, 17.47, 14.73, 23.65, 24.2, 
##     15.64, 15.3, 19.52, 22.7, 18.43, 13.73, 9.69, 6.56, 25.14, 
##     24.83, 21.56, 13, 16.41, 22.3, 12.69, 20.77, 14.66, 13.06, 
##     9.2, 22.07, 13.24, 12.45, 22.77, 17.25, 21.17, 13.54, 19.15, 
##     13.09, 7.38, 19.98, 20.02, 11.42, 14.44, 13.35, 20.3, 16.69, 
##     24.17, 23.49, 10.63, 16.12, 13.75, 17.14, 18.42, 12.48, 22.7, 
##     16.05, 18.39, 21.95, 6.87, 19.22, 14.73, 16.86, 18.14, 21.14, 
##     17.6, 15.23, 19.31, 23.42, 13.14, 16.85, 17.54, 14.35, 20.55, 
##     17.2, 16.49, 18.5, 17.7, 23.22, 18.58, 15.26, 21.81, 18.41, 
##     14.75, 18.63, 13.91, 14.1, 15.01, 20.92, 17.54, 12.16, 26.51, 
##     22.63, 22.36, 17.11, 14.45, 14.27, 17.84, 19.25, 22.47, 20.45, 
##     9.3, 11.01, 12.69, 11.43, 19.89, 14.09, 7.85, 12.02, 20.88, 
##     13.9, 20.6, 21.73, 17.77, 10.17, 16.99, 10.97, 20.52, 11.32, 
##     18.73, 16.45, 16.73, 18.34, 20.85, 8.76, 20.26, 20.44, 19.28, 
##     18.23, 21.23, 17.47, 16.78, 12.43, 18.13, 21.31, 14.56, 17.71, 
##     21.81, 17.37, 17.23, 21.75, 12.5, 23.05, 13, 17.54, 19.28, 
##     14.74, 20.17, 18.62, 19.08, 19, 22.13, 19.32, 9.32, 22.36, 
##     13.91, 15.27, 12.21, 17.98, 15.9, 9.19, 21.77, 13.91, 19.23, 
##     14.16, 11.39, 14.19, 26.28, 9.75, 15.34, 11.51, 12.87, 18.81, 
##     14.06, 17.8, 17.84, 13.68, 20.74, 20.93, 22.14, 16.01, 19.59, 
##     16.58, 9.95, 14.47, 16.35, 13.87, 14.96, 17, 18.31, 19.95, 
##     16.62, 12.22, 15.74, 24.64, 17.44, 22.45, 20.11, 11.69, 13.81, 
##     16.93, 17.01, 19.06, 17.8, 9.05, 17.71, 21.09, 14.08, 20.38, 
##     19.68, 23.49, 17.99, 11.92, 24.34, 20.06, 21.19, 15.77, 12.75, 
##     17.2, 11.42, 10.38, 12.06, 14.43, 17, 15.3, 17.82, 29.33, 
##     25.36, 12.6, 26.72, 20.05, 18.4, 18.06, 19.41, 16.54, 13.07, 
##     17.71, 13.69, 15.27, 16.47, 25.72, 22.98, 20.25, 21.73, 17.82, 
##     17.87, 26.62, 7.96, 11.54, 21.44, 19.38, 10.09, 13.04, 9.92, 
##     19.8, 15.61, 17.91, 12.04, 23.83, 14.47, 21.18, 15.44, 12.1, 
##     18.83, 15.63, 17.61, 7.14, 8.13, 11.32, 13.26, 13.69, 13.26, 
##     14.22, 27.25, 21.09, 13.32, 17.2, 15.8, 19.65, 14.31, 17.02, 
##     18.41, 12, 19.43, 16.69, 21.47, 16.14, 20.88, 19.67, 13.36, 
##     11.29, 17.84, 21.62, 17.67, 21.44, 14.44, 13.29, 10.15, 12.34, 
##     14.74, 16.62, 19.13, 18.39, 19.2, 13.43, 17.18, 20.96, 17.94, 
##     22.88, 22.13, 15.84, 16.73, 10.72, 23.15, 19.42, 16.71, 24.58, 
##     12.05, 17.54, 14.41, 7.09, 26.54, 15.91, 14.51, 21.05, 17.64, 
##     17.17, 20.44, 14.25, 18.06, 20.28, 20.26, 13.02, 20, 16.74, 
##     22.04, 17.95, 17.74, 21.85, 15.47, 16.06, 12.57, 18.27, 15.95, 
##     19.46, 12.19, 15.76, 13.28, 25.17, 20.83, 6.66, 16.08, 20.23, 
##     8.21, 16.18, 9.05, 20.62, 22.07, 14.27, 12.99, 17.62, 15.94, 
##     18.33, 16.97, 21.2, 13.82, 15.05, 23.09, 12.25, 19.55, 15.56, 
##     15.34, 16.87, 17.03, 11.02, 22.52, 18.45, 17.94, 15.65, 13.74, 
##     12.72, 10.97, 12.31, 12.88, 21.14, 13.36, 16.88, 17.3, 16.56, 
##     14.77, 16.96, 20.6, 19.82, 15.83, 16.65, 18.82, 13.64, 15.76, 
##     16.41, 14.3, 8.23, 18.95, 13.18, 18.16, 20.08, 18.2, 14.37, 
##     25.53, 15.05, 27.99, 17.86, 19.5, 18.12, 17.5, 16.12, 16.12, 
##     20.49, 20.08, 11.93, 17.87, 18.59, 17.78, 12.57, 12.29, 20.12, 
##     10.68, 15.06, 14.26, 19, 24.37, 17.72, 20.94, 11.82, 17.99, 
##     21.03, 13.59, 11.4, 11.83, 13.93, 17.84, 18.06, 17.25, 16.7, 
##     24.67, 19.31, 22.27, 23.14, 18.22, 18.83, 15.22, 13.57, 23.19, 
##     12.8, 18.7, 26.24, 15.95, 17.59, 15.91, 15.86, 17.96, 15.1, 
##     15.47, 16.39, 17.9, 10.13, 14.71, 10.94, 21.86, 14.35, 17.15, 
##     10.74, 17.73, 16.17, 7.65, 22.12, 17.34, 19.08, 14.25, 18.9, 
##     16.53, 22.37, 19.82, 22.67, 15.24, 12.89, 11.86, 17.34, 11.11, 
##     20.67, 14.57, 30.11, 16.63, 17.78, 19.86, 17.9, 13.43, 14.47, 
##     19.99, 20.61, 17.09, 14.06, 15.37, 20.47, 13.26, 15.35, 22.36, 
##     25.79, 17.64, 5.26, 15.68, 12.04, 11.22, 16.09, 16.67, 14.59, 
##     13.06, 24.11, 22.23, 26.59, 9.83, 11.87, 15.43, 12.21, 18.18, 
##     29.01, 8.36, 14.75, 20.03, 17.06, 11.26, 16.41, 23.81, 23.06, 
##     14.09, 16.97, 25.81, 12.49, 16.09, 14, 12.66, 22.8, 19.24, 
##     20.3, 16.67, 18.26, 24.87, 8.74, 19.16, 15.05, 21.79, 10.8, 
##     6.4, 22.73, 11.82, 14.22, 12.05, 18.56, 15.61, 12.63, 19.84, 
##     19.19, 18.87, 19.7, 15.17, 20.89, 13.66, 16.24, 10.85, 11.81, 
##     15.47, 18.08, 20.86, 13.57, 19.4, 19.52, 19.55, 17.27, 15.94, 
##     17.12, 20.29, 22.09, 21.16, 23.66, 10.14, 9.58, 20.21, 18.71, 
##     22.3, 19.57, 28.1, 12.34, 17.76, 11.99, 8.66, 14.49, 11.62, 
##     11.9, 24.51, 17.29, 21.45, 16.85, 12.72, 19.09, 18.85, 17.32, 
##     21.44, 19.88, 17.62, 14.2, 18.62, 11.8, 12.54, 16.41, 14.89, 
##     20.99, 18.97, 16.53, 15.22, 16.81, 19.04, 17.03, 22.65, 29.62, 
##     20.26, 15.4, 21.29, 9.03, 17.59, 11.48, 12.77, 14.22, 11.42, 
##     21.77, 14.86, 12.06, 8.98, 22.98, 14.63, 22.95, 18.52, 18.22, 
##     19.99, 14.88, 16.87, 17.96, 18.16, 17.83, 22.65, 16.11, 15.23, 
##     22.4, 17.32, 10.41, 21.99, 16.72, 20.8, 16.17, 22.51, 22.7, 
##     15.99, 16.34, 9.49, 17.36, 11.8, 18.29, 17.32, 21.84, 11.74, 
##     17.47, 15.96, 9.32, 5.47, 18.98, 20.95, 22.14, 18.91, 12.2, 
##     17.71, 23.07, 11.05, 15.05, 22.76, 20.66, 11.41, 7.75, 11.22, 
##     15.54, 11.25, 12.05, 10.86, 6.99, 11.38, 13.18, 13.68, 17.43, 
##     19.44, 14.82, 21.06, 23.43, 18.12, 19.49, 10.11, 22.87, 13.96, 
##     19.52, 18.12, 13.57, 23.49, 12.74, 18.33, 18.54, 15.04, 21.19, 
##     24.24, 21.17, 13.39, 13.97, 16.97, 13.86, 12.19, 21.17, 18.41, 
##     6.42, 19.19, 22.92, 13.34, 10.86, 15, 16.63, 21.45, 14.89, 
##     17.59, 14.06, 8.78, 14.69, 18.48, 12.02, 14.39, 15.47, 20.48, 
##     20.93, 20.97, 22.44, 11.99, 14.63, 15.12, 16.78, 25.87, 8.61, 
##     19.68, 21.22, 13.22, 20.86, 13.91, 22.69, 12.49, 14.14, 17.61, 
##     15.62, 14.43, 18.86, 22.64, 10.48, 15.23, 10.5, 13.65, 21.64, 
##     15.84, 12.66, 11.14, 22.13, 15.36, 13.29, 16.15, 16.39, 11.15, 
##     17.03, 14.65, 18.65, 17.89, 26.11, 18.73, 10.95, 24.08, 10.5, 
##     10.85, 17.05, 20.2, 13.19, 10.03, 15.51, 19.13, 16.8, 16.15, 
##     19.38, 10.29, 18.96, 15.64, 13.22, 18.22, 23.21, 10.12, 14.06, 
##     16.79, 18.94, 9.41, 25.86, 23.94, 20.31, 3.61, 12.52, 15.3, 
##     14.86, 23.77, 21.49, 17.55, 6.96, 18.96, 19.74, 16.92, 24.91, 
##     15.11, 10.23, 15.9, 13.83, 13.74, 18.62, 21.9, 13.57, 13.88, 
##     20.41, 20.6, 20.81, 14.18, 9.91, 13.89, 17.31, 19.45, 8.36, 
##     23.94, 13.72, 16.18, 21.16, 21.23, 22.16, 18.33, 22.1, 15.9, 
##     22.69, 16.62, 21.12, 25.76, 19.67, 18.81, 17.85, 17.87, 14.55, 
##     17.06, 21.89, 15.58, 18.21, 13.13, 22.99, 16.44, 24.85, 13.4, 
##     6.85, 10.79, 10.86, 20.66, 21.92, 16.06, 20.58, 16.1, 19.03, 
##     10.49, 15.91, 14.53, 12.21, 16.1, 22.72, 16.88, 11.38, 14.42, 
##     17.24, 11.56, 22.05, 16.02, 15.44, 13.29, 25.13, 12.49, 19.58, 
##     21.79, 21.51, 15.37, 21.36, 23.05, 14.33, 19.28, 15.11, 15.86, 
##     21.21, 16.75, 13.42, 23.5, 20.95, 16.66, 12.35, 13.72, 4.02, 
##     12.16, 22.09, 18.14, 20.35, 16.04, 15.16, 15.29, 13.27, 19.8, 
##     20.2, 17.31, 21.51, 14.26, 16.29, 12.1, 9.79, 14.13, 20.67, 
##     13.23, 14.94, 18.49, 15.07, 17.45, 17.38, 11.5, 14.65, 23.32, 
##     21.31, 13.4, 15.89, 15.84, 19.44, 18.83, 10.17, 7.63, 17.21, 
##     20.13, 18.33, 4.5, 17.94, 23.83, 18.39, 9.78, 16.35, 17.95, 
##     20.17, 15.18, 12.5, 24.89, 19.63, 12.83, 21.05, 24.48, 18.39, 
##     18.81, 21.3, 19.71, 24.31, 19.88, 18.03, 14.31, 12.95, 19.09, 
##     17.99, 6.88, 13.01, 12.07, 10.24, 18.79, 21.9, 21.54, 17.11, 
##     18.23, 19.63, 20.83, 10, 12.42, 17.82, 18.98, 19.01, 17.54, 
##     21.13, 16.88, 23.8, 11.92, 15.77, 11.77, 20.04, 16.52, 11.79, 
##     15.21, 15.34, 20.83, 13.55, 18.83, 17.98, 18.56, 13.4, 13.5, 
##     24.73, 20.13, 18.78, 7.52, 18.22, 16.43, 20.8, 19.97, 23.53, 
##     29.79, 23.2, 11.75, 15.03, 17.38, 21.57, 18.98, 13.35, 16.83, 
##     16.18, 16.8, 12.59, 15.13, 20.91, 19.59, 19.86, 13.7, 18.42, 
##     20.52, 24.02, 24.08, 25.67, 11.67, 17.92, 11.78, 17.49, 10.49, 
##     24.15, 22.76, 18.76, 21.83, 13.86, 13.86, 25.04, 17.7, 15.1, 
##     19.38, 8.63, 19.35, 22.05, 21.39, 17.42, 21.14, 16.41, 13.8, 
##     14.57, 18.97, 10.56, 14.48, 18.63, 13.95, 16.43, 21.56, 15.1, 
##     15.78, 16.12, 23.28, 20.82, 5.01, 19.13, 23.33, 17.6, 24.06, 
##     14.13, 21.25, 15.82, 17.71, 19.51, 20.42, 20.22, 11.29, 16.57, 
##     19.49, 20.67, 23.63, 15.27, 26.64, 15.15, 28.29, 19.07, 19.24, 
##     19.52, 24.05, 11.08, 14.02, 14.2, 22.19, 15.76, 20.71, 20.02, 
##     14.51, 19.12, 16.41, 11.43, 16.79, 14.87, 15.11, 24.63, 15.93, 
##     16.93, 17.04, 25.99, 18.48, 13.84, 16.69, 23.89, 11.31, 18.71, 
##     17.2, 18.75, 12.16, 14.28, 19.04, 18.18, 14.29, 14.04, 20.57, 
##     13.4, 19.98, 11.82, 19.99, 19.15, 15.71, 12.27, 14.17, 14.73, 
##     16.18, 21.25, 20.12, 13.95, 15.29, 19.41, 20.09, 18.43, 17.5, 
##     15.68, 19.15, 19.22, 23.53, 18.67, 13.94, 20.1, 14.97, 16.97, 
##     12.95, 15.67, 12.34, 17.09, 23.09, 27.47, 19.7, 19.41, 17.85, 
##     25.2, 18.79, 24.86, 16.03, 6.22, 10.47, 18.62, 24.04, 17.83, 
##     22.99, 18.78, 15.23, 10.54, 18.71, 16.59, 21.86, 17.93, 12.27, 
##     15.27, 12.46, 14.53, 21.81, 14.93, 17.94, 24.18, 23.47, 11.43, 
##     18.5, 19.41, 18.67, 14.21, 10.53, 22.26, 10.39, 21.61, 15.37, 
##     12.53, 25.38, 21.06, 29.66, 13.81, 12.51, 9.89, 17.44, 16.93, 
##     18.26, 10.71, 18.75, 17.09, 18.25, 20.91, 17.93, 18.2, 20.37, 
##     13.73, 21.79, 19.55, 23.29, 10.56, 23.08, 17.77, 11.71, 10.53, 
##     16.9, 18.17, 18.11, 9.32, 15.3, 15.23, 18.39, 25.26, 8.88, 
##     14.25, 16.41, 12.81, 15.73, 17.9, 14.03, 15.83, 13.26, 14.69, 
##     11.15, 9.82, 19.74, 18.06, 22.63, 20.37, 12.47, 17.33, 15.22, 
##     24.61, 12.98, 23.49, 19.7, 19.52, 16.23, 21.83, 13.59, 18.59, 
##     19.15, 17.68, 17.09, 15.49, 20.78, 10.17, 11.62, 14.21, 13.93, 
##     23.65, 18.56, 12.38, 12.71, 16.78, 13.35, 23.69, 14.8, 20.61, 
##     16.41, 19.75, 15.88, 14.22, 18.79, 15.29, 29.89, 19.61, 20.46, 
##     21.42, 12.6, 13.23, 16.41, 13.98, 28.4, 17.36, 23.74, 20.6, 
##     14.33, 17.76, 21.83, 13.91, 23.67, 17.05, 19.69, 24.17, 18.79, 
##     20.25, 17.61, 13.43, 14.54, 16.82, 18.9, 18.17, 12.7, 17.17, 
##     16.62, 16.22, 16.24, 11.14, 20.6, 16.96, 24.16, 14.83, 22.79, 
##     20.71, 18.38, 20.95, 22.7, 12.27, 16.48, 18.45, 18.44, 20.54, 
##     16.22, 13.65, 15.64, 20.02, 17.7, 14.5, 15.44, 18.73, 21.44, 
##     18.29, 17.77, 23.49, 21.76, 21.11, 17.44, 14.25, 14.63, 19.92, 
##     22.02, 16.66, 24.45, 13.52, 14.99, 25.8, 10.5, 22.19, 18.11, 
##     16.24, 24.75, 14.91, 16.39, 20.77, 13.81, 13.69, 15.84, 17.46, 
##     19.08, 14.99, 24.88, 14.41, 11.62, 15.61, 15.87, 17.97, 26.89, 
##     11.51, 12.58, 19.3, 21.6, 13.53, 20.2, 11.17, 7.94, 20.05, 
##     14.5, 16.18, 13.46, 20.41, 10.61, 21.63, 21.12, 16.99, 17.11, 
##     16.13, 20.54, 17.42, 13.74, 21.08, 17.92, 17.22, 13.77, 30.75, 
##     14.58, 18, 18.85, 18.22, 20.04, 19.02, 21.39, 10.74, 19.26, 
##     21.88, 20.15, 18.39, 26.95, 17.75, 13.81, 13.13, 20.37, 15.18, 
##     22.29, 19.82, 14.46, 22.87, 20.02, 15.01, 11.11, 16.65, 23.01, 
##     21.28, 12.06, 15.47, 15.43, 16.44, 18.28, 18.66, 25.49, 12.96, 
##     17.36, 13.72, 21.26, 15.18, 10.96, 20.63, 7.87, 18.32, 14.8, 
##     13.93, 19.67, 23.23, 19.3, 18.44, 11.83, 15.79, 22.27, 13.78, 
##     16.21, 15.93, 17.68, 20.7, 21.39, 23.77, 16.25, 13.61, 22.03, 
##     18.72, 17.06, 14.52, 16.47, 14.28, 15.65, 13.22, 13.53, 12.88, 
##     19.61, 18.99, 18.56, 17.56, 18.25, 14.32, 18, 21.63, 21.71, 
##     20.39, 19.58, 19.23, 17, 18.06, 12.28, 14.57, 16.96, 15.68, 
##     20.56, 14.9, 15.57, 24.68, 11.74, 14.53, 15.95, 17.13, 15.81, 
##     23.81, 14.08, 15.43, 18.33, 12.61, 13.76, 15.52, 15.24, 11.59, 
##     11.55, 18.69, 18.96, 16.26, 12.25, 19.07, 5.1, 16.22, 7.79, 
##     24.99, 10.45, 15.15, 8.72, 4.18, 13.23, 11.11, 20.12, 21.51, 
##     14.06, 12.46, 21.56, 16.75, 16.89, 15.23, 19.92, 15.29, 16.66, 
##     16.99, 19.41, 15.11, 17.24, 28.56, 15.57, 18.11, 13.7, 7.59, 
##     14.17, 16.38, 9.32, 23.05, 11.78, 16.26, 20.58, 12.96, 23.49, 
##     19.95, 22.19, 12.28, 8.77, 19.04, 17.76, 21.79, 14.68, 13.45, 
##     21.11, 7.13, 24.24, 16.2, 13.89, 23.05, 16.91, 19.27, 19.68, 
##     13.16, 20.64, 12.64, 14.59, 18.33, 22.69, 16.92, 13.52, 18.96, 
##     17.07, 19.96, 14.25, 17.11, 9.58, 15.59, 18.79, 16.32, 17.4, 
##     16.97, 14.26, 18.33, 22.63, 14.33, 8.59, 10.02, 19.75, 26.78, 
##     25.31, 16.84, 27.43, 14.1, 16.27, 18.3, 24.3, 15.72, 19.32, 
##     21.96, 18.62, 7.49, 18.05, 23.55, 15.28, 23.76, 15.6, 20.4, 
##     8.98, 15.33, 19.96, 14.4, 20.88, 18.46, 17.12, 11.08, 16.58, 
##     18.4, 14.2, 12.99, 17.29, 14.25, 9.3, 9.83, 14.61, 13.2, 
##     17.89, 22.4, 16.07, 16.46, 25.37, 17.22, 16.87, 18.65, 14.35, 
##     21.75, 11.34, 15.81, 20.05, 19.41, 14.05, 27.8, 15.33, 21.1, 
##     19.15, 18.09, 17.4, 11.06, 16.47, 18.62, 23.58, 16.96, 16.1, 
##     17.84, 12.97, 12.14, 20.3, 19.36, 19.3, 19.55, 14.79, 12.75, 
##     13.3, 14.18, 27.15, 14.11, 25.02, 13.6, 14.44, 20.41, 19.37, 
##     12.27, 17.94, 12.52, 26.8, 16.18, 17.91, 16.83, 16.92, 10.69, 
##     16.46, 19.83, 17.21, 8.61, 14.1, 18.65, 22.58, 19.69, 13.85, 
##     13.64, 21.24, 14.5, 17.67, 17.06, 11.47, 29.24, 13.51, 18.11, 
##     16.66, 22.83, 23.99, 12.02, 21.36, 19.44, 22.46, 9.15, 14.71, 
##     15.93, 22.85, 15.25, 14.96, 16.4, 16.97, 17.1, 19.13, 14.34, 
##     20.04, 18.82, 14.58, 23.62, 15.09, 18.07, 9.32, 19.36, 21.36, 
##     19.87, 19.03, 18.37, 10.99, 23.53, 20.83, 15.96, 22.41, 14.71, 
##     12.08, 18.19, 23.55, 13.98, 19.25, 16.69, 16.55, 19.56, 14.65, 
##     15.17, 18.79, 14.59, 14.84, 16.6, 20.75, 17.36, 14.03, 26.04, 
##     23.38, 12.84, 13.74, 19.85, 17.98, 19.5, 14.68, 16.71, 18.05, 
##     18.28, 12.98, 7.09, 10.1, 15.24, 9.91, 25.97, 20.81, 17.06, 
##     15.4, 15.24, 18.02, 18.4, 15.39, 18.49, 20.12, 26.08, 17.53, 
##     13.05, 17.94, 15.56, 20.15, 10.17, 10.02, 12.68, 22.93, 17.49, 
##     20.59, 16.87, 17.26, 12.03, 17.65, 25.15, 27.64, 27, 9.62, 
##     21.6, 9.21, 11.65, 18.33, 17.93, 10.57, 18.8, 19.01, 17.88, 
##     16.66, 18.95, 18.65, 19.97, 14.45, 22.59, 14.31, 14.82, 9.63, 
##     19.2, 19.58, 19.9, 21.4, 15.64, 21.31, 15.01, 13.64, 17.53, 
##     12.2, 21.39, 16.99, 13.58, 13.75, 20.55, 17.99, 17.26, 20.37, 
##     16.01, 20.94, 20.07, 11.3, 16.12, 10.29, 15.11, 10.74, 19.13, 
##     18.13, 10.64, 14.32, 18.4, 20.43, 10.17, 15.66, 15.75, 21.28, 
##     15.34, 18.92, 20.03, 18.13, 8.37, 19.33, 13.48, 24.76, 17.8, 
##     16.42, 11.87, 21.83, 22.53, 16.75, 14.42, 11.4, 17.43, 23.35, 
##     21.57, 13.25, 20.07, 18.54, 11.87, 12.89, 23.03, 12.3, 12.75, 
##     17.03, 10.09, 24.38, 27.8, 18.02, 16.91, 15.44, 11, 24.55, 
##     23.24, 18.41, 21.22, 18.49, 29.83, 16.62, 17.32, 11.77, 19.07, 
##     10.14, 14.5, 20.96, 18.87, 12.39, 12.92, 16.11, 21.57, 10.14, 
##     18.09, 21.9, 15.67, 15.37, 22.79, 28.03, 27.8, 18.94, 17.42, 
##     18.07, 6.76, 16.24, 21.81, 16.93, 13.72, 11.06, 21.05, 14.08, 
##     22.81, 19.78, 8.3, 6.74, 21.21, 9.17, 10.99, 23.25, 15.96, 
##     14.15, 11.2, 17.62, 23.51, 10.88, 21.82, 23.33, 28.65, 7.26, 
##     13.87, 13.6, 14.68, 13.64, 22.3, 23.21, 16.34, 14.49, 18.62, 
##     18.96, 17.65, 16.44, 16.44, 20.77, 18.68, 12.25, 19.93, 20.88, 
##     17.03, 15.78, 16.47, 17.05, 18.67, 26.68, 18.07, 15.96, 16.24, 
##     15.77, 9.32, 19.3, 19.26, 13.91, 15.45, 14.23, 14.38, 27.9, 
##     18.9, 18.11, 19.31, 3.73, 20.66, 6.43, 14.57, 27.4, 6.45, 
##     12.73, 13.4, 13.93, 14.43, 18.27, 12.81, 18.97, 17.6, 15.63, 
##     17.68, 24.82, 7.63, 21.95, 22.81, 22.38, 23.15, 17.54, 15.49, 
##     17.43, 17.51, 24.43, 12.95, 11.66, 20.67, 22.28, 18.54, 14.62, 
##     19, 19.09, 16.05, 7.74, 16.35, 26.06, 19.41, 13.92, 13.35, 
##     15, 16.8, 19.78, 22.63, 17.84, 14.41, 16.58, 17.07, 23.02, 
##     18.16, 17.7, 19.19, 16.86, 23.74, 22.85, 18.17, 26.96, 14.76, 
##     16.63, 7.96, 14, 17.07, 19.5, 17.26, 19.73, 23.85, 19.98, 
##     12.21, 20.91, 15.33, 14.28, 23.74, 25.42, 20.64, 25.86, 16.95, 
##     10.4, 14.93, 18.1, 11.2, 14.25, 21.01, 18.88, 17.38, 16.82, 
##     16.15, 11.47, 16.44, 17.37, 16.98, 20.99, 18.12, 21.56, 13.61, 
##     24.42, 13.91, 18.79, 20.52, 16.32, 19.63, 17.33, 13.37, 18.32, 
##     12.12, 25.93, 26.57, 22.37, 16.26, 13.46, 14.51, 13.65, 18.85, 
##     18.89, 16.18, 15.85, 14.77, 15.9, 9.73, 21.68, 18.78, 11.2, 
##     13.76, 12.98, 12.33, 16.79, 16.97, 18.75, 18.46, 21.48, 17.48, 
##     14.44, 23.59, 12.86, 15.15, 20.27, 16.39, 20.96, 16.71, 20.45, 
##     15.48, 15.98, 22.57, 19.59, 20.26, 10.1, 20.42, 18.96, 15.78, 
##     19.67, 11.88, 13.02, 12.26, 19.2, 17.82, 18.74, 20.77, 15.53, 
##     16.46, 23.94, 9.04, 26.04, 19.43, 21.77, 14.31, 19.85, 22.81, 
##     13.72, 11.48, 11.71, 18.55, 22.27, 18.48, 24.33, 13.21, 16.46, 
##     18.62, 22.32, 22.5, 20.65, 18.67, 14.98, 14.79, 15.59, 15.26, 
##     10.06, 20.38, 18.68, 21.05, 12.64, 16.17, 12.73, 15.94, 13.82, 
##     15.56, 14.74, 10.54, 19.1, 17.96, 14.24, 22.13, 24.3, 10.96, 
##     14.88, 13.85, 19.76, 20.77, 14.5, 20.57, 14.45, 21.14, 21.12, 
##     13.51, 11.25, 23.48, 19.69, 15.73, 18.97, 13.66, 17.85, 8.02, 
##     13.03, 20.64, 13.69, 15.09, 17.43, 16.01, 16.72, 14.96, 25.92, 
##     17.42, 12.95, 10.57, 17.2, 17.41, 17.26, 15.71, 24.56, 17.74, 
##     20.26, 13.84, 18.26, 22.27, 16.61, 22.9, 19.13, 14.88, 7.54, 
##     18.44, 14.96, 16.01, 18.03, 14.99, 14.26, 22.89, 16.95, 13.98, 
##     22.07, 19.3, 21.04, 18.01, 23.37, 13.56, 19.64, 19.87, 18.86, 
##     23.42, 18.71, 17.65, 16.48, 17.51, 21.09, 30.91, 20.2, 13.76, 
##     17.65, 17.81, 15.72, 18.67, 20.54, 12.96, 19.85, 18.73, 20.45, 
##     24.98, 14.2, 13.56, 13.29, 17.51, 12.27, 13.66, 21.58, 21.32, 
##     25.8, 2.65, 19.79, 20.13, 17.6, 16.35, 13.45, 12.1, 17.12, 
##     22.21, 14.59, 18.24, 13.95, 12.12, 25.06, 15.96, 16.67, 16.46, 
##     14.86, 10.3, 14.27, 19.14, 15.9, 15.89, 18.67, 20.46, 19.76, 
##     21.17, 20.17, 11.98, 11.47, 14.71, 16.56, 17.63, 18.34, 24.45, 
##     22.74, 10.48, 23.32, 22.34, 11.19, 23, 6.89, 17.81, 15.05, 
##     10.09, 16.88, 21.53, 12.84, 24.79, 19.3, 17.76, 17.2, 19.77, 
##     15.02, 14.73, 16.62, 16.31, 14.25, 21.51, 17.09, 23.68, 17.82, 
##     6.71, 22.81, 17.03, 26.27, 15.46, 23.75, 11.99, 10.78, 22.76, 
##     16.33, 13.52, 22.47, 23.83, 19.77, 14.25, 19.12, 15.07, 15.42, 
##     17.26, 15.7, 19.54, 17.88, 14.08, 7.94, 22.35, 20.56, 13.18, 
##     14.93, 19.06, 14.2, 16.13, 19.86, 16.97, 11.92, 12.41, 12.11, 
##     23.28, 20.98, 14.44, 22.75, 17.6, 24.68, 21.82, 18.19, 17.79, 
##     17.46, 17.12, 18.93, 20.06, 21.05, 15.95, 21.21, 19.24, 21.79, 
##     22.34, 21.98, 10.78, 14.37, 18.96, 12.71, 19.39, 18.45, 15.11, 
##     17.59, 9.2, 12.91, 22.46, 11.65, 16.02, 27.39, 15.9, 8.81, 
##     14.29, 19.73, 14.88, 17.43, 21.24, 19.11, 17.98, 19.36, 16.29, 
##     19.54, 17.74, 15.78, 15.9, 15.3, 18.35, 20.07, 16.64, 19.09, 
##     6.66, 10.54, 15.74, 12.07, 17.5, 13.37, 17.35, 12.85, 17.34, 
##     12.09, 16.48, 19.56, 17.16, 12.47, 20.29, 11.41, 9.61, 13.75, 
##     14.27, 14.56, 17.88, 17.36, 16.05, 20.27, 13.2, 21.28, 14.53, 
##     23.58, 11.81, 17.58, 14.99, 10.96, 12.38, 18.44, 14.27, 6.2, 
##     18.99, 21.48, 9.95, 18.4, 13.86, 20.18, 20.83, 16.69, 13.17, 
##     13.18, 22.4, 16.12, 19.02, 16.29, 9.17, 13.36, 10.91, 22.23, 
##     11.42, 14.76, 13.54, 15.18, 13.86, 16.7, 16.1, 14.59, 29.93, 
##     19.5, 21.86, 19.27, 19.91, 21.18, 17.41, 7.57, 10.02, 15.43, 
##     14.2, 29.32, 19.36, 20.74, 22.99, 10.19, 18.69, 17.1, 21, 
##     13.57, 18.26, 13.98, 19.84, 17.82, 17.98, 22.37, 15.07, 21.7, 
##     16.41, 19.14, 12.27, 14.35, 22.15, 14.87, 16.35, 17.54, 18.5, 
##     16.52, 14.31, 20.23, 21.23, 23.26, 22.3, 11.14, 22.5, 12.45, 
##     13.67, 18.06, 22.07, 15.76, 9.83, 14.24, 16.8, 12.96, 19.55, 
##     19.38, 18.18, 21.31, 18.4, 18.88, 21.23, 20.13, 23.21, 19.12, 
##     20.29, 12, 17.24, 15.87, 17.59, 13.68, 17.77, 20.44, 20.15, 
##     10.45, 15.78, 19.86, 16.3, 25.54, 13.41, 19.55, 19.06, 18.84, 
##     17.71, 17.9, 13.87, 22.93, 16.48, 19.73, 22.34, 18.39, 20.52, 
##     20.54, 21.39, 17.31, 23.12, 18.21, 26.72, 12.89, 20.44, 14.83, 
##     19.92, 15.05, 19.89, 22.82, 19.14, 10.46, 14.72, 16.71, 19.63, 
##     20.56, 8.82, 16.47, 18, 13.09, 17.07, 12.62, 16.27, 21.21, 
##     13.88, 12.18, 12.59, 14.89, 19.05, 19.7, 13.2, 21.84, 14.73, 
##     19.63, 18.75, 10.49, 15.94, 23.89, 15.81, 20.19, 17.82, 22.41, 
##     20.66, 16.07, 12.33, 10.52, 14.71, 18.41, 14.69, 26.84, 20.51, 
##     14.99, 17.84, 16.66, 16.12, 20.17, 17.47, 22.3, 13.66, 18.78, 
##     15.01, 23.23, 19.01, 15.35, 28.16, 16.76, 18.78, 19.88, 17.24, 
##     19.02, 13.77, 9.19, 15.44, 13.13, 16.76, 10.07, 19.76, 14.03, 
##     21.59, 11.58, 19.43, 24.96, 12.19, 22.25, 18.21, 17.35, 16.98, 
##     17.48, 17.71, 16.18, 11.93, 15.15, 20.47, 17.94, 12.82, 12.5, 
##     21.79, 25.02, 12.13, 11.57, 16.93, 14.88, 10.25, 23.45, 15.5, 
##     26.01, 24.07, 12.71, 15.55, 15.59, 16.66, 20.13, 15.9, 19.01, 
##     15.35, 22.47, 14.75, 21.4, 20.8, 13.84, 15.73, 14.6, 17.9, 
##     26.03, 11.31, 17.95, 19.76, 14.37, 12.55, 13.3, 16.78, 23.1, 
##     17.62, 11.8, 11.51, 13.96, 15.92, 15.95, 15.51, 13.97, 18.43, 
##     27.72, 15.3, 12.95, 13.15, 21.79, 22.98, 19.07, 20.59, 13.44, 
##     17.37, 14.28, 23.16, 20.54, 12.99, 17.39, 22.55, 13.91, 16.25, 
##     13.96, 15.11, 15.66, 14.25, 16.01, 17.54, 10.51, 14.88, 19.7, 
##     8.46, 12, 16.49, 12.53, 22.59, 22.24, 16.13, 18.28, 7.45, 
##     16.46, 20.18, 16.17, 20.59, 12.53, 22.58, 15.09, 16.03, 24.6, 
##     8.29, 19.21, 5.74, 9.36, 10.73, 15.32, 17.6, 23.41, 17.68, 
##     17.77, 17.44, 25.77, 21.94, 14.86, 19.18, 16.68, 14.94, 17.96, 
##     17.44, 19.01, 12.06, 20.09, 17.01, 18.16, 19, 13.82, 19.58, 
##     18.08, 21.2, 17.09, 13.06, 9.74, 13.16, 16.8, 13.07, 14.25, 
##     12.64, 17.69, 21.77, 19.12, 13.56, 19.09, 10.34, 18.76, 20.43, 
##     17.39, 14.31, 18.75, 23.68, 13.86, 11.47, 17.31, 19.17, 16.93, 
##     18.25, 18.5, 12.97, 22.45, 22.11, 18, 16.49, 19.07, 16.24, 
##     14.97, 10.02, 15.97, 14.49, 17.76, 23.27, 14.65, 17.83, 9.38, 
##     14.94, 15.91, 20.72, 13.58, 15.34, 14.88, 18.61, 23.08, 14.59, 
##     20.88, 17.82, 21.97, 10.84, 16.34, 28.93, 20.76, 20.92, 16.86, 
##     16.49, 12.27, 13.19, 11.49, 18.38, 18.96, 25.72, 14.76, 16.97, 
##     19.47, 17.18, 19.41, 25.64, 19, 19.45, 16.97, 19.84, 21.68, 
##     23.07, 16.95, 16.69, 18.62, 17.18, 16.63, 12.33, 18.89, 15.21, 
##     16.53, 13.64, 26.18, 21.89, 21.62, 15.9, 14.78, 16.86, 15.21, 
##     12.26, 7.38, 14.1, 17.99, 14.53, 13.43, 17.77, 16.29, 17.36, 
##     18.69, 14.42, 10.36, 18.74, 16.12, 17.77, 12.43, 22.66, 18.35, 
##     16.35, 8.76, 17.57, 10.98, 13.98, 22.41, 8.91, 17.25, 19.05, 
##     23.29, 17.7, 19.07, 20.43, 18.45, 16.12, 16.75, 17.48, 20.95, 
##     12.55, 14.76, 19.98, 15.08, 18.34, 20.32, 13.46, 12.8, 14.3, 
##     19.36, 16.05, 13.52, 16.55, 21.52, 26.6, 12.96, 19.69, 18.65, 
##     20.09, 15.79, 13.74, 20.49, 26.81, 21.05, 23.5, 17.65, 15.21, 
##     20.92, 11.44, 18.38, 13.16, 16.26, 17.94, 11.44, 21.13, 16.56, 
##     16.49, 25.89, 14.82, 19.1, 24.42, 17.66, 17.88, 15.94, 16.05, 
##     14.45, 11.31, 16.23, 11.49, 17.96, 19.3, 21.28, 27.14, 18.16, 
##     13.17, 10.44, 18.73, 17.04, 14.1, 24.3, 11.3, 14.09, 14.44, 
##     19.72, 15.02, 24.31, 11.73, 18.8, 16.32, 11.7, 10.75, 16.42, 
##     19.18, 12.4, 13.86, 18.57, 15.11, 15.56, 20.15, 26.24, 14.37, 
##     16.3, 19.89, 14.99, 15.68, 12.52, 9.32, 20, 13.21, 14.85, 
##     15.52, 14.05, 13.87, 18.71, 14.53, 12.98, 23.09, 15.56, 18.4, 
##     28.48, 15.98, 16.39, 18.37, 15.6, 16.68, 18.84, 22.48, 18.15, 
##     24.32, 15.32, 18.32, 17.03, 20.57, 18.45, 18.1, 16.48, 20, 
##     15.27, 20.41, 17.33, 16.08, 9.38, 17.75, 15.24, 15.31, 21.74, 
##     27.69, 17.49, 14.95, 14.89, 14.1, 13.74, 20.34, 15.5, 15.77, 
##     21.06, 7.46, 15.88, 16.34, 22.83, 22.23, 24.3, 17.33, 5.7, 
##     15.56, 10.33, 13.8, 17.94, 16.17, 15.43, 15.02, 18.46, 17.92, 
##     14.98, 18.16, 19.26, 18.84, 15.84, 18.46, 15.33, 14.05, 12.44, 
##     20.06, 25.7, 18.62, 19.9, 22.53, 18.96, 10.98, 17.9, 18.21, 
##     20.04, 9.9, 17.98, 17.68, 16.31, 21.44, 11.64, 14.49, 13.17, 
##     11.81, 13.01, 9.91, 18.4, 22.04, 20.84, 19.27, 14.07, 15.5, 
##     16.35, 24.42, 15.59, 19.41, 14.56, 22.49, 22.3, 17.7, 23.72, 
##     20, 25.77, 17.31, 22.03, 10.5, 14.29, 14.25, 12.36, 16.7, 
##     18.66, 9.6, 12.91, 19.13, 20.6, 18.7, 8.7, 24.34, 17.73, 
##     15.18, 16.02, 18.7, 19.02, 12.33, 13.52, 14.36, 10.46, 26.66, 
##     13.75, 10.71, 20.08, 27.6, 15.73, 24.88, 17.8, 15.1, 20, 
##     16.73, 17.14, 12.05, 16.56, 17.2, 21.85, 18.05, 16.37, 9.46, 
##     15.15, 14.5, 20.52, 20.07, 18.97, 13.06, 23.38, 15.84, 17.75, 
##     10.57, 17.65, 23.51, 21.39, 13.15, 16.13, 19.9, 20.65, 18.61, 
##     15.05, 15.66, 20.68, 20.2, 12.39, 17.72, 15.02, 13.95, 9.85, 
##     11.56, 12.95, 19.51, 23.5, 25.05, 15.95, 18.72, 16.75, 21.93, 
##     21.56, 14.08, 17.34, 20.12, 18.7, 23.1, 14.27, 14.74, 9.55, 
##     13.71, 14.4, 12.54, 16.86, 13.83, 15.78, 11.63, 3.54, 14.99, 
##     27.12, 16.33, 21.18, 18.71, 16.63, 15.39, 11.68, 14.39, 18.06, 
##     17.26, 16.92, 18.11, 25.23, 19.86, 14.03, 13.73, 5.61, 24.85, 
##     14.44, 20.2, 19.46, 17.54, 19.12, 16.84, 14.91, 26.11, 20.37, 
##     11.43, 15.65, 13.7, 17.12, 13.4, 15.19, 19.58, 16.88, 23.63, 
##     18.37, 14.58, 7.59, 21.2, 12.5, 20.71, 25.33, 8.81, 16.79, 
##     21.45, 21.96, 21.6, 21.27, 15.82, 15.87, 16.15, 12.24, 24.07, 
##     18.87, 10.21, 17.3, 10.05, 18.22, 16.12, 14.19, 15.54, 19.22, 
##     24.08, 20.24, 16.46, 20.38, 30.54, 25.48, 17.87, 16.8, 17.71, 
##     19.5, 28.89, 12.72, 23.46, 17.05, 20.45, 22.17, 18.02, 20.49, 
##     16.8, 20.9, 20.41, 16.95, 14.98, 18.84, 16.99, 19.12, 16.9, 
##     16.07, 21.8, 15.73, 11.57, 10.86, 20.06, 25.59, 13.12, 11.19, 
##     27.09, 20.16, 12.65, 14.42, 9.8, 3.21, 23.89, 17.19, 11.38, 
##     20.56, 17.67, 8.99, 11, 17.12, 23.17, 18.5, 16.5, 22.72, 
##     24.32, 17.29, 14.63, 21.83, 13.57, 24.07, 20.47, 14.8, 17.92, 
##     17.56, 13.01, 14.6, 19.94, 18.12, 24.54, 12.61, 21.05, 20.17, 
##     22.28, 10.83, 21, 16.8, 9.44, 17.08, 16.22, 14.65, 17.27, 
##     22.39, 13.96, 21.65, 14.62, 14.99, 14.19, 18.01, 14.29, 18.35, 
##     22.82, 18.63, 19.71, 20.72, 8.69, 15.63, 19.05, 15.16, 17.46, 
##     9.09, 15.5, 17.04, 16.24, 15.18, 18.78, 15.22, 21.26, 11.79, 
##     14.88, 16.57, 21.04, 6.53, 12.1, 1.9, 14.95, 10.72, 9.42, 
##     16.63, 19.58, 4.96, 15.86, 17.95, 21.17, 9.83, 9.34, 14.21, 
##     17.81, 17.92, 17.79, 25.03, 16.46, 13.18, 21.37, 11.1, 23.21, 
##     16.92, 15.16, 15.87, 21.33, 22.45, 22.82, 14.28, 11.68, 18.25, 
##     11.59, 13.77, 16.01, 15.44, 16.86, 17.27, 14.87, 17.29, 17.43, 
##     22.12, 17.9, 22.3, 14.59, 16.42, 20.12, 14.25, 12.37, 15.77, 
##     20.95, 18.09, 16, 14.08, 23.5, 18.88, 12.98, 16.91, 24.6, 
##     18.41, 13.39, 15.32, 12.3, 18.47, 12.19, 16.37, 19.27, 20.37, 
##     20.51, 17.9, 18.28, 27.09, 16.22, 21.89, 15.98, 11.38, 17.48, 
##     18.6, 20.5, 11, 19.03, 22.02, 18.6, 13.6, 24.54, 18.89, 16.97, 
##     12.95, 24.23, 24.88, 13.22, 14.61, 15.28, 21.54, 18.77, 5.17, 
##     13.52, 15.39, 24.34, 22.23, 16.59, 16.87, 17.28, 12.6, 17.6, 
##     14.98, 12.34, 23.54, 13.99, 17.33, 13.14, 14.09, 16.47, 22, 
##     19.22, 17.64, 17.69, 24.62, 17.8, 21.85, 18.75, 20.37, 14.48, 
##     13.55, 16.54, 25.1, 13.62, 21.45, 21.94, 12.67, 15.49, 12.76, 
##     22.57, 16.97, 12.28, 22.27, 15.35, 19.05, 14.99, 19.23, 17.62, 
##     17.92, 24.68, 24.51, 9.02, 16.67, 14.89, 15.69, 17.5, 26.35, 
##     10.22, 16.24, 28.23, 17.72, 18.05, 11.3, 13.29, 17.55, 14.03, 
##     11.93, 16.62, 14.34, 16.63, 25.19, 8.97, 16.69, 23, 14.06, 
##     18.72, 21.4, 21.21, 15.22, 11.98, 12.57, 12.62, 16.61, 17.09, 
##     14.98, 12.92, 15.69, 21.46, 11.96, 10.87, 22.97, 21.01, 18.61, 
##     15.47, 17.88, 23.2, 9.59, 13.08, 24.24, 13.88, 23.84, 13.12, 
##     19.11, 15.39, 19.1, 16.12, 19.47, 10.14, 14.84, 12.22, 13.45, 
##     15.94, 17.4, 21.16, 11.59, 22.13, 10, 17.58, 10.78, 13.02, 
##     17.47, 21.89, 17.76, 14.96, 22.5, 17.25, 18.44, 23.47, 15.39, 
##     15.9, 18.8, 19.7, 19.03, 14.1, 10.73, 19.85, 19.85, 18.38, 
##     22.59, 18.5, 15.16, 20.94, 20.95, 23.36, 18.05, 25.79, 22.23, 
##     13.99, 13.26, 17.64, 9.94, 9.72, 17.43, 15.42, 8.79, 9.77, 
##     17.78, 18.35, 21.24, 13.66, 21.57, 11.71, 20.2, 12.04, 19, 
##     17.81, 15.49, 22.8, 16.46, 17.01, 14.23, 21.67, 12.1, 17.09, 
##     15.44, 17.53, 22.11, 11.93, 18.33, 22.25, 19.11, 17.19, 14.18, 
##     19.37, 12.37, 13.23, 23.9, 9.58, 22.27, 16.53, 21.6, 25.58, 
##     15.64, 13.39, 22.94, 17.99, 18.13, 13.21, 11.49, 15.09, 14.71, 
##     22.08, 15.63, 14.54, 17.8, 12.31, 15.67, 19.32, 24.56, 9.83, 
##     14.64, 20.88, 25.78, 13.03, 22.16, 22.01, 24.21, 14.67, 6.42, 
##     22.24, 18.25, 16.12, 19.6, 13.01, 14.31, 19.1, 16.64, 22, 
##     23.83, 14.69, 18.16, 16.64, 13.29, 12.66, 14.74, 17.02, 14.65, 
##     13.52, 11.65, 13.42, 19.58, 19.63, 15.25, 14.21, 10.28, 15.47, 
##     14.32, 16.24, 18.04, 16.07, 18.32, 20.01, 13.46, 15.94, 7.51, 
##     11.32, 12.4, 14.22, 23.88, 22.51, 17.67, 22.04, 17.86, 13.61, 
##     12.72, 13.26, 16.06, 19.06, 15.94, 19.88, 19.18, 18.35, 18.66, 
##     17.61, 23.74, 13.02, 24.85, 21, 16.88), c(120.6, 247.2, 202.8, 
##     247.8, 261.6, 224.2, 242.3, 178.2, 257.1, 194.4, 217.8, 175.3, 
##     150.5, 193.5, 186.1, 222.8, 246, 187.2, 224.8, 227.3, 214, 
##     87, 178.5, 231.9, 212.1, 175, 192.7, 118, 269.1, 214.5, 155.5, 
##     249.1, 168.5, 202.6, 182, 144.4, 231.2, 307.6, 202, 165.3, 
##     212.4, 256.5, 251.3, 203.5, 271.2, 185.5, 157.4, 245.2, 267.2, 
##     197.4, 162.8, 179, 153.6, 301.7, 100.1, 277.4, 217, 238.6, 
##     178.4, 238.7, 179.4, 246.1, 212.6, 171.2, 189.6, 152.7, 166.4, 
##     113.3, 236, 232.1, 241.3, 192.8, 175.1, 201.9, 264.7, 242.7, 
##     203.7, 232, 210.1, 238.4, 199.9, 193.5, 205.6, 123.4, 193.9, 
##     233.5, 210.1, 150, 230.6, 184.6, 221.7, 344.3, 213, 206.5, 
##     219.4, 237.4, 174.8, 128.1, 157, 181.3, 104.9, 223.7, 181.7, 
##     151.8, 227.5, 194.1, 237.4, 252.7, 128, 190.9, 185.1, 201.7, 
##     166.9, 146.3, 176.3, 304.3, 200.9, 178.2, 181.8, 137.5, 175.8, 
##     297.7, 153.5, 230.1, 214.1, 173, 196.7, 273.3, 236.2, 231.3, 
##     158.1, 206, 108.8, 184.9, 297, 212.4, 333.5, 158.7, 159.1, 
##     261.9, 247.3, 187.6, 237.4, 103.1, 260.1, 123.5, 232.3, 293, 
##     203.8, 289.6, 190.2, 106.3, 215.4, 170.7, 293.7, 178.8, 352.5, 
##     198.5, 260.8, 184.4, 223.5, 254.9, 250.8, 202.1, 190.9, 167.6, 
##     194.3, 111.8, 185.2, 249.6, 142, 261.7, 118.2, 155.1, 305.4, 
##     138.3, 206, 160.2, 144.1, 190.5, 184.2, 304.3, 90.8, 196.5, 
##     273.4, 142.8, 160.4, 240.8, 204.2, 249.5, 196, 203.2, 142.6, 
##     120.1, 109.6, 130.3, 194.2, 289.5, 180.1, 142.7, 187.7, 280.3, 
##     150, 170.9, 192.7, 165.7, 286.9, 170.9, 205.1, 247.3, 216.5, 
##     288.1, 228.2, 275.5, 223.9, 176.3, 154.8, 239.4, 294.6, 146.8, 
##     222.8, 111.8, 265.9, 112.5, 215.9, 179.8, 214.6, 188.1, 207.2, 
##     143.9, 260.4, 139.6, 141.5, 254.3, 208.9, 172.6, 213.5, 215.7, 
##     216.8, 134, 209.7, 156.2, 256.4, 268.1, 215.6, 184, 218.6, 
##     194.4, 294.8, 305.5, 241.4, 262.5, 233.6, 158.6, 130.2, 206.7, 
##     287.8, 222.5, 136.2, 217.4, 181.5, 196.1, 252, 192.2, 257.2, 
##     237.9, 176, 268, 127.3, 239.9, 176.7, 213.9, 248.5, 157.3, 
##     199.7, 147, 229, 256.1, 107.3, 158.9, 266.3, 194.1, 171.8, 
##     173.6, 250.6, 218, 179.7, 242.9, 191.9, 302.8, 242, 283.2, 
##     223.9, 197, 213.9, 367.7, 188.9, 128.7, 193.6, 266.9, 221.8, 
##     171.8, 248.1, 246.2, 193.6, 193.9, 261.7, 160.7, 247, 197.4, 
##     253, 269.3, 195, 231.8, 242.8, 328.5, 193.2, 216.1, 325.9, 
##     141, 177.6, 154.3, 299.6, 212.4, 223.3, 205.6, 211.8, 165.7, 
##     147.1, 187.6, 226.1, 192.3, 114.5, 238.5, 275.6, 174.1, 289.3, 
##     169.9, 141.6, 168.5, 141.9, 212.9, 275, 216.9, 132.7, 318.3, 
##     169.6, 168.5, 145.8, 300.3, 220.3, 187.4, 97.4, 192.2, 122.4, 
##     293.6, 195.9, 212.3, 332.2, 94.9, 216.9, 179.1, 208.4, 262.9, 
##     242.7, 254.1, 122, 210.6, 208.5, 152.1, 104.7, 104.1, 236.6, 
##     153.8, 189.4, 208.4, 172.4, 193.5, 198.6, 281.1, 172.1, 144.2, 
##     188.3, 255.8, 208.2, 221.1, 168.9, 214.9, 187.1, 210.6, 119.1, 
##     186.8, 285.4, 109.7, 238.7, 193.6, 180, 185.7, 128.6, 255, 
##     226, 186.6, 163.2, 266.7, 260.9, 161.1, 221.7, 209, 250.7, 
##     230.1, 249, 223.5, 193.6, 174.5, 90.9, 300.8, 152.5, 227, 
##     226.7, 241.1, 256, 192.9, 180.8, 200.7, 285.1, 234.9, 134.5, 
##     270.7, 183.9, 142.1, 146.8, 246.7, 207.7, 196.1, 265, 117.3, 
##     276.6, 113.5, 87.4, 220.1, 172.8, 257.6, 191.5, 191, 271.8, 
##     192.9, 260.9, 257.2, 163.3, 241.3, 277.6, 160.2, 228.1, 258.4, 
##     191.3, 202.6, 214.2, 80.2, 81.1, 198.5, 292.4, 278.4, 174.9, 
##     143.4, 91.2, 182, 186.2, 214.5, 229.1, 181.5, 197.4, 210.8, 
##     129.3, 159.3, 223.7, 161.7, 122.4, 182.1, 245.9, 224.3, 313.4, 
##     239.9, 258.3, 217.5, 251.3, 265.3, 120.1, 215.4, 232.2, 147, 
##     180.9, 180.9, 190.1, 190, 197.3, 190.4, 255.4, 212.3, 158.8, 
##     296.9, 162.6, 256.3, 180.1, 230.1, 179.6, 269, 177.5, 113, 
##     235.4, 237.9, 148.6, 241.3, 210, 209.3, 242, 216.4, 199.5, 
##     192, 175.4, 180.5, 210.4, 220.1, 165.9, 183, 181.1, 195.3, 
##     199.7, 211.7, 173.2, 179.1, 189.9, 141.7, 174.1, 286.4, 142.6, 
##     174.4, 187.2, 170.5, 196.2, 231.4, 214.5, 233.7, 205.1, 241.4, 
##     184.3, 216.5, 187.7, 191, 209.3, 187.9, 200.9, 129.3, 232.7, 
##     279.6, 198.4, 170.7, 195.2, 167.3, 147.7, 153.2, 248.3, 212.6, 
##     236.9, 196.8, 271.8, 217.7, 229.6, 134.7, 216.5, 138.2, 237, 
##     183.4, 240.3, 223.6, 258.2, 185.9, 229.6, 168.9, 188.4, 174.6, 
##     151.6, 251.4, 191.4, 167.1, 209.1, 143, 197.4, 240, 187, 
##     218.7, 239.2, 297.2, 242.6, 170.2, 210.6, 182.2, 108, 187.5, 
##     206.9, 204.7, 232.4, 236, 243.1, 188.2, 189.7, 236.6, 240.2, 
##     193, 148.6, 199.8, 180.5, 127.1, 175.1, 162.2, 190.4, 233.7, 
##     222.8, 219, 227.8, 73.2, 208.9, 173.6, 207.1, 102.1, 183.8, 
##     235.7, 264, 226.5, 96.4, 182.1, 217.4, 240.7, 184.1, 255, 
##     141.9, 194.9, 159.8, 222.7, 189.1, 204.4, 190.1, 222.6, 182.1, 
##     205.1, 213.9, 250.3, 145.8, 239.5, 304.3, 260.3, 113.8, 228.1, 
##     139.2, 214.5, 297.9, 149.8, 161.2, 200.2, 167.9, 190, 245, 
##     168.3, 228, 113.5, 148.1, 252.1, 227.7, 262.2, 190.5, 193.2, 
##     244.1, 181.9, 220.6, 203.8, 282.8, 205.1, 214.7, 174.6, 273.4, 
##     110.3, 259, 242.3, 133.3, 165.7, 207.9, 247.2, 230.5, 197, 
##     254.7, 193.4, 190.8, 186.5, 145.5, 236.5, 158.7, 163.9, 220.1, 
##     235.5, 209.2, 195, 223, 107.9, 309.1, 193.1, 237.7, 197.5, 
##     172.9, 207.1, 197.1, 135, 196.9, 172, 255.9, 185.8, 174.9, 
##     290, 208.7, 227, 285.2, 182.3, 200, 226.3, 227.7, 185.7, 
##     191.4, 88.2, 165.7, 230.8, 206.2, 153, 230.1, 149.4, 133.4, 
##     154.2, 197.1, 160.6, 203.4, 105.4, 197.6, 227.2, 200.7, 264, 
##     168, 202.7, 174.2, 102.4, 206.4, 244.3, 213.7, 244.3, 245.7, 
##     247.2, 329.3, 181.2, 184.5, 174.5, 171.6, 142.2, 151.5, 176.6, 
##     214.8, 201.6, 186.7, 64.2, 122.5, 154.3, 300, 181.6, 143, 
##     155.6, 192.6, 271.8, 208.3, 219.6, 232.4, 251.4, 156.7, 236.9, 
##     296.1, 147.1, 154.9, 184.5, 150.5, 268, 194.8, 165.1, 221.8, 
##     220.1, 144.9, 235.3, 283.7, 189.4, 170.6, 232.4, 205.7, 188.1, 
##     263.9, 103.3, 165.4, 180.6, 264.2, 255.7, 280.2, 135.2, 306.3, 
##     65.7, 215.8, 178.1, 234, 228.6, 128.9, 229.4, 215.3, 118.8, 
##     311.6, 220.3, 254.4, 269, 200.4, 163.2, 151.1, 156.7, 214, 
##     212.7, 212.6, 150.7, 178.5, 181.2, 197.7, 272, 206, 151.8, 
##     238.9, 260.8, 229.6, 188.2, 200.4, 243.1, 160.5, 129.6, 165.3, 
##     184.2, 154.4, 206.2, 217.2, 133.1, 193.6, 192.1, 190.4, 217.6, 
##     264.4, 185.5, 254.7, 167.8, 197.7, 169.7, 151.1, 276.9, 293.5, 
##     207.2, 225.1, 115.2, 161, 227.4, 254.1, 198.6, 254, 158.7, 
##     185.5, 199.4, 213.7, 138.1, 180.3, 198.5, 181.4, 129.8, 233.8, 
##     235.6, 273.7, 237.5, 162.6, 134.3, 162.2, 164.9, 255.2, 168.4, 
##     142.2, 250.9, 237.9, 242.9, 127.4, 209.9, 169.4, 177.3, 199.5, 
##     197.7, 119.4, 194.3, 310.7, 245.4, 201.4, 194.1, 288.8, 135.9, 
##     238.6, 201.4, 148.2, 205.3, 210, 190.8, 196.9, 236.7, 212.3, 
##     194.3, 270.2, 150.8, 136, 154.8, 165.1, 249.3, 154.1, 291.1, 
##     173.2, 359.9, 186.2, 265.3, 175.3, 236.2, 199.2, 154.5, 178.8, 
##     280.2, 212.2, 231.7, 235.4, 164.2, 183.9, 139.7, 189.8, 153.4, 
##     244.6, 127.1, 150.9, 226.1, 115.7, 212.1, 233.1, 158.4, 244.7, 
##     185, 104.8, 226.1, 170.3, 152.7, 160.5, 264.2, 197.7, 217.1, 
##     193.5, 136, 153.8, 215.8, 211.2, 214, 117.8, 135, 96.4, 155.3, 
##     241.3, 178.3, 151.8, 216.9, 226.4, 211.1, 136.5, 163.2, 253.4, 
##     186.2, 202.5, 264.4, 188.1, 234.7, 203, 134.2, 146.4, 243.8, 
##     261.9, 142.1, 192.4, 166.6, 249.6, 236, 274.9, 202.3, 242.3, 
##     170.3, 169.8, 198, 124, 137.5, 179, 185.5, 278.2, 232.9, 
##     163.7, 93.2, 225.3, 134.1, 131.5, 183.5, 279.4, 179.2, 194.2, 
##     140, 189.6, 180, 255.5, 228.1, 304.3, 251.7, 147.1, 109.7, 
##     183.9, 172.9, 163, 133.5, 215.5, 259.7, 233.4, 218.4, 181.6, 
##     264.9, 164, 192, 223.8, 211.6, 218.5, 173.8, 170.5, 135.8, 
##     201.9, 190.1, 142.4, 290, 200.8, 132.6, 98.6, 170.4, 291.6, 
##     230.8, 211, 254.4, 167.1, 163.6, 188.1, 210, 139.1, 146.4, 
##     246.3, 281.2, 210.5, 307.4, 154.9, 281.4, 107.3, 254.4, 239.3, 
##     241, 201.7, 191, 225.6, 188.9, 186.2, 231.2, 101.2, 264, 
##     240.6, 115.6, 146.2, 171.5, 239.4, 214.4, 221.9, 160.8, 332.2, 
##     185.8, 233, 271.2, 143.7, 105.6, 184.5, 131.3, 211.7, 121, 
##     153, 137.6, 195.7, 251.6, 135, 188.2, 198.9, 217.5, 190.4, 
##     223, 275.4, 110.1, 271.6, 192.1, 218, 349.2, 195.2, 231.9, 
##     140.3, 116.3, 204.3, 190.8, 223.4, 206.9, 229.6, 166.5, 244, 
##     172.4, 193.4, 246.2, 221.6, 163.1, 203.1, 316.7, 182.4, 184.7, 
##     223.4, 304.4, 202, 123.6, 296.3, 228.2, 127.8, 218.4, 240, 
##     242.7, 270.2, 227.3, 249.7, 241.7, 194.7, 103.9, 267.6, 326, 
##     233.1, 182.3, 152.7, 246.1, 179.8, 205, 218.4, 192.7, 151, 
##     147.1, 186.2, 126.8, 94.9, 43.7, 223.8, 245.5, 194.3, 266, 
##     317.9, 325.6, 219.3, 164.7, 249.4, 140.6, 138.4, 139.9, 120.2, 
##     221.3, 230.6, 221.6, 249, 183.8, 117, 126.3, 164.3, 273.1, 
##     214.7, 233.7, 269.8, 225.7, 198.4, 164.2, 264.1, 212, 188.9, 
##     196.6, 208.8, 206.5, 251.9, 227.4, 148.2, 164.8, 228.6, 243.4, 
##     139.3, 152.6, 151.3, 104.7, 269.1, 261.6, 258.2, 173.1, 192.5, 
##     306.6, 194.8, 241.2, 179.4, 166.2, 151.2, 105.9, 154.4, 166.4, 
##     213.4, 297, 220.2, 237.1, 240, 157.9, 112.3, 222.8, 222.4, 
##     189.1, 144.7, 302.8, 241.3, 196, 269.9, 228.2, 187.3, 209.1, 
##     130.6, 203.5, 181, 285.4, 317.9, 115.7, 153.5, 165.8, 247.9, 
##     214.2, 170.2, 354.9, 236.3, 147.6, 268.1, 212.2, 242.2, 194.3, 
##     138.7, 240, 152.3, 221.7, 238, 141.1, 224.3, 199.8, 239.9, 
##     155, 239.2, 203.7, 95.6, 280.2, 102.8, 157.7, 167.5, 291, 
##     167.3, 159.4, 170.9, 222.7, 180.8, 179.3, 201.7, 211, 214.1, 
##     197.3, 199.2, 133.3, 204.8, 195.3, 122.2, 158.6, 227.1, 227.2, 
##     109.6, 313.8, 261.3, 46.7, 166.3, 175.9, 244.2, 213.8, 196.1, 
##     165.5, 171.8, 238.4, 243.7, 189.3, 280.2, 165.9, 192.7, 211.9, 
##     102, 287.7, 249.9, 99.3, 306.2, 121.6, 207.2, 255.7, 312.5, 
##     231.2, 244.1, 226.9, 171, 220.1, 112, 252.7, 197.2, 253.1, 
##     180.3, 180.1, 277.3, 165.8, 281.5, 137.8, 266.4, 281.7, 194.3, 
##     246.9, 188.2, 264.2, 199.1, 237.7, 194.3, 176.1, 302.8, 244.9, 
##     203.5, 211.9, 216.1, 179.1, 121.8, 193.8, 169.3, 203.5, 231, 
##     286.5, 243.2, 182.3, 155.6, 149.9, 255.8, 169.4, 123.2, 244.8, 
##     177.8, 250.1, 240.4, 198.2, 164.5, 175.6, 143.9, 211.7, 217.1, 
##     224.7, 211.5, 109.9, 226.3, 200.8, 114.3, 82.3, 168, 123.1, 
##     210.6, 225.3, 218.9, 141.9, 219.4, 112.3, 195.5, 131.6, 229.9, 
##     160.2, 258.5, 129, 225.1, 169.4, 243.3, 153.5, 176, 222.9, 
##     168.8, 264.1, 166.7, 200.4, 194.7, 174.3, 166.8, 189.1, 261.8, 
##     132.5, 235.8, 216.9, 152.9, 233.2, 129.3, 254.7, 184.4, 282.9, 
##     219.8, 133.9, 146.3, 224.7, 219.7, 174.4, 175.9, 236.9, 241, 
##     268.3, 271.5, 334.7, 191.7, 321.3, 239.9, 218.9, 214, 213.5, 
##     323.5, 228.4, 214.3, 192.7, 247.4, 200.9, 292.8, 100.3, 244.7, 
##     227.9, 222, 149.4, 253.9, 177.7, 167.9, 141.5, 189, 204.1, 
##     212.4, 264.7, 191.3, 146.7, 154.6, 228.2, 235.1, 345.8, 159, 
##     214.7, 98.3, 224.7, 185.2, 220.2, 332.7, 295.6, 263.9, 196.2, 
##     236, 221.6, 181.2, 161.9, 250.3, 122.4, 169.9, 250.5, 100.3, 
##     243.6, 170.6, 272.6, 192.8, 245.7, 188.2, 129.1, 263.4, 155, 
##     151.7, 129.1, 222.1, 184.5, 162.9, 168.6, 188.2, 215.8, 214.3, 
##     245.5, 189, 231.1, 261.6, 194.1, 217, 209.8, 231.5, 127.1, 
##     168.8, 95.3, 248.2, 213.6, 169.7, 193.1, 195.4, 214.6, 262.8, 
##     108.9, 176.4, 249, 211.4, 242.4, 284.5, 173.9, 227.2, 244.7, 
##     221.7, 223.3, 129, 224.9, 219.4, 244.4, 188.3, 211.7, 244.9, 
##     140.8, 155.5, 148.4, 154.8, 250.7, 225.1, 268.4, 81.6, 112.4, 
##     176.6, 224.7, 162, 266.6, 169.4, 171, 166, 177.3, 169.9, 
##     202.3, 132.4, 281.1, 239.5, 211, 130.1, 134.6, 260.6, 194.6, 
##     161.1, 214.2, 213.7, 223, 170.3, 144.6, 189.8, 291.6, 317.8, 
##     196.1, 222.5, 159.6, 171.5, 247.8, 221.6, 184.9, 275.9, 175.3, 
##     254.4, 310.8, 258, 184, 201.1, 308.2, 205.5, 146.7, 103.7, 
##     208.6, 190.1, 168.2, 313.2, 169.3, 236.4, 228, 186.6, 207.2, 
##     210.1, 274.4, 188, 193.8, 156.7, 336.1, 219.6, 140.5, 287.7, 
##     227.1, 205.8, 202.4, 179.7, 203.1, 61.4, 203.7, 203.6, 243, 
##     147.5, 149.1, 137.9, 243.9, 179.5, 273.2, 241.1, 240.8, 206.8, 
##     230.1, 170.8, 239.9, 208.8, 160.4, 177, 220.3, 130.9, 221.7, 
##     203.8, 130, 109.6, 143.7, 203.5, 156.3, 214.4, 186.5, 183.5, 
##     239.5, 216.4, 268.6, 157.6, 176.5, 105.4, 241.8, 73.7, 158.6, 
##     258.2, 228.2, 239.6, 211.9, 217, 251.9, 176.3, 154.3, 104.7, 
##     212, 185.9, 131.2, 214.4, 212.2, 112.8, 146.7, 237.7, 210, 
##     210.7, 193, 154, 208.1, 230.9, 258, 239.8, 150.8, 311.8, 
##     279.8, 272.4, 171.1, 104.5, 214.3, 257.2, 272.9, 102.1, 157.2, 
##     50.1, 202, 251.4, 291.1, 153.3, 218, 169.8, 198.1, 273.2, 
##     194.6, 257.3, 241.5, 189.8, 168.6, 214.7, 157.9, 218.1, 243, 
##     168.2, 225.4, 155.6, 150.8, 114.9, 250.8, 158.8, 204, 246.2, 
##     153, 121.8, 243.2, 200.3, 161.2, 186.9, 197.9, 260.8, 251.2, 
##     197.3, 184.6, 84.1, 262.7, 226.7, 268.2, 226.2, 189, 219.9, 
##     211.7, 290, 228.4, 214.2, 235.3, 163.3, 150.2, 229.7, 294.5, 
##     156.4, 230.2, 225.7, 215.8, 138.4, 106.2, 186.8, 203.2, 154.4, 
##     263.9, 244.2, 243.6, 206.1, 246.3, 192.8, 293.7, 280.4, 184.3, 
##     150.7, 240.6, 141.7, 200.2, 167.1, 381.6, 133.6, 215.8, 199.4, 
##     193.7, 133.6, 204.4, 195.5, 309.6, 177.3, 119.1, 117.1, 192.6, 
##     287.7, 236.2, 179.8, 180.4, 127.7, 196, 202.2, 165.9, 144.6, 
##     205.6, 208.2, 247.8, 234.8, 234.5, 243.3, 214.6, 204.1, 201.8, 
##     167.5, 135.9, 121.8, 203.1, 167.9, 205.1, 235, 349.7, 196.3, 
##     141.9, 53.3, 141.8, 135.7, 156.7, 173, 199.6, 248.5, 215.5, 
##     176.1, 212.6, 135.9, 225.6, 225.7, 286.5, 143.7, 228.1, 234.3, 
##     176, 183.9, 237.4, 233.2, 176.9, 101.8, 298.3, 278, 206.8, 
##     333.5, 175.9, 262.9, 266, 102, 111.7, 70.6, 146.8, 207.3, 
##     130.1, 214.7, 161.4, 160.3, 171.7, 274.4, 116.9, 193.8, 131.1, 
##     130.5, 180.6, 224.7, 129.1, 219.5, 214.2, 191.2, 208.5, 224.7, 
##     262.9, 45, 176.1, 307.1, 260.2, 197.9, 243.9, 212.5, 206.4, 
##     164.6, 156.2, 187.7, 256.6, 165.8, 144.9, 212.6, 137.7, 169.7, 
##     229.9, 194.1, 309.7, 291.6, 108.8, 218.8, 204.4, 136, 89.3, 
##     268.6, 280, 187.8, 299.4, 210.2, 239.8, 198.8, 150.1, 147.7, 
##     170.3, 262.4, 249, 215, 193.9, 201.2, 276.9, 94.3, 142.4, 
##     261.6, 180.9, 178.9, 230.7, 167.3, 227.3, 299.3, 212.8, 185.3, 
##     159, 214.2, 193.4, 137.4, 203.6, 116.6, 227.5, 301.6, 47.4, 
##     181.7, 226.5, 179.9, 311.5, 238.2, 200.1, 313.4, 271.3, 156.6, 
##     111.8, 119.1, 181.5, 235.2, 230.1, 318, 206.2, 206.1, 198.5, 
##     223.5, 224.9, 208.5, 227.3, 174.7, 228.9, 151.4, 189.7, 158.5, 
##     157.1, 223.5, 246.5, 156.9, 186.4, 213.5, 134.4, 181.9, 219.7, 
##     195.1, 214.6, 124.4, 250.7, 94, 213.9, 157.4, 236.7, 119.8, 
##     191.9, 229.1, 291.4, 204, 182.7, 276.7, 176.3, 297, 162.9, 
##     196.5, 141.1, 277.8, 175.9, 194.6, 207.4, 242.9, 186.3, 233, 
##     264.5, 238.5, 181.2, 245.3, 147.9, 285.5, 109.6, 158.9, 216.9, 
##     201.7, 174, 300.7, 282.3, 210.7, 320.7, 237.5, 192.2, 201.5, 
##     163.4, 217.6, 163.9, 395, 118.3, 173.9, 279.2, 201.4, 236.8, 
##     198.8, 304.2, 164.4, 232, 237.3, 183.1, 247.2, 173.6, 241.5, 
##     134.1, 176.4, 206.3, 216.6, 138.4, 193.3, 198.3, 197.3, 227.8, 
##     191.4, 232.6, 179.9, 242.1, 229.6, 191.5, 228.3, 204.7, 190, 
##     188.6, 191.8, 256.7, 211.5, 168.6, 173.6, 286.2, 212.6, 206.6, 
##     299.8, 210.7, 182.2, 170.8, 255.7, 259.3, 215.7, 165, 210.6, 
##     165.3, 208.6, 245.7, 252.7, 185.2, 221.4, 254.7, 232.4, 221, 
##     251.9, 171.7, 171.3, 178.3, 245.1, 233.2, 250.7, 174.3, 178.7, 
##     230.2, 184.2, 173.3, 270.8, 231, 220.1, 178.9, 269.3, 197.6, 
##     206.1, 153.2, 205, 175.3, 239.8, 154.9, 211.4, 223.1, 204, 
##     184.4, 172.8, 186, 230.1, 183.8, 154.1, 208.9, 222.5, 96, 
##     160.8, 208.9, 236.6, 222.2, 226.5, 174.9, 76.4, 128.1, 264.8, 
##     191.9, 195.7, 101, 248.2, 125.6, 163.1, 213.3, 203.2, 246, 
##     163.6, 194.3, 205, 254.6, 234.9, 200.3, 225.5, 223.9, 252.8, 
##     140.5, 178.1, 190.4, 255.8, 156.5, 241.5, 288, 208, 213.7, 
##     230.2, 271.7, 214, 218.6, 214.9, 175.5, 120.5, 78.1, 207.7, 
##     189.2, 126.2, 101.5, 202.5, 213.7, 219.9, 277.6, 136.3, 226.9, 
##     259.6, 202.3, 126.9, 186.2, 195.5, 194.5, 178.6, 132.5, 205.2, 
##     246.4, 160.6, 212.4, 104.5, 218.3, 226.5, 178.3, 246.1, 227.6, 
##     243.6, 243.2, 180, 89.6, 231.8, 148.7, 202, 158.1, 250.1, 
##     172.8, 183.5, 161.5, 171.7, 153.8, 169.3, 227.9, 177.1, 265.5, 
##     223.6, 237.3, 172.7, 198.2, 193.6, 192.8, 100.9, 238.2, 156.6, 
##     245, 155.3, 322.2, 190.4, 189.6, 76.4, 217.9, 148.6, 166.8, 
##     224.6, 168.2, 162.4, 215.4, 194.1, 196.7, 188.2, 256.2, 182.8, 
##     205.2, 206.1, 183.3, 172.8, 213.1, 186.4, 178.1, 193.4, 126.3, 
##     203.9, 170.6, 194.7, 204.8, 57.5, 185.9, 322.2, 225.5, 254.9, 
##     183.4, 175.4, 233, 139.4, 199.5, 256.3, 207.9, 163.3, 157.2, 
##     242.8, 232.4, 198.5, 259.9, 270.4, 280.9, 193.6, 159.6, 133.7, 
##     206.4, 312.9, 207.9, 327.3, 114.1, 146.2, 185.4, 299.8, 119.2, 
##     248.6, 190.1, 234.6, 111, 251.1, 77.3, 181.2, 204.4, 75.1, 
##     239.7, 253.4, 207.2, 133.4, 276.3, 192.7, 251.3, 147.4, 179.5, 
##     142.7, 245, 252.1, 182.3, 245.1, 168.5, 289.4, 191.8, 203.1, 
##     159.9, 138.7, 310.5, 59.5, 238.8, 194.7, 200, 123, 149.3, 
##     110.4, 230.2, 153.2, 110.7, 169.6, 212.2, 181.5, 122.2, 215.5, 
##     262.4, 102, 197.4, 264, 137.7, 231.4, 255.6, 237.4, 218.8, 
##     174.5, 117.6, 284.7, 195.3, 166.7, 146.8, 178.3, 224.1, 146.8, 
##     132.7, 128.3, 232.8, 149.4, 128.2, 216.5, 235.7, 220.3, 220.6, 
##     210.2, 238.8, 162.5, 252.4, 199.3, 285.1, 162.9, 271.9, 181, 
##     79.7, 118.3, 162, 244.3, 186.3, 171.8, 234.9, 119, 241.6, 
##     203.3, 274, 171.6, 228, 120.4, 172, 224.7, 136.9, 167.7, 
##     251.4, 175, 228.1, 194.9, 140.3, 152.9, 176.6, 120.5, 270.9, 
##     241.3, 248.5, 184.6, 158.9, 267.6, 144.5, 188.4, 198.9, 168.9, 
##     205.8, 222.7, 212.5, 111.4, 170.4, 152.1, 77.2, 188.2, 164.8, 
##     167.8, 242.3, 148.7, 193.5, 208.9, 208.9, 255.2, 213.4, 220.8, 
##     177.7, 121, 268.7, 204.5, 152.5, 261.4, 212.8, 88.7, 182.5, 
##     278.9, 158.2, 247.4, 191.1, 211.2, 201.5, 201.4, 127.9, 171, 
##     269.6, 111.4, 211.9, 146.5, 115.1, 289, 169.5, 203.1, 172.4, 
##     287.6, 233.6, 85.8, 147.4, 227.3, 172.2, 260, 261.7, 206.1, 
##     225.6, 221.7, 236.5, 234.9, 195.9, 141.2, 151.8, 108.9, 172.4, 
##     202.1, 239.1, 272.1, 223.6, 191.4, 190.1, 187.1, 204.4, 210.6, 
##     229.4, 208.5, 63.6, 254.4, 260.4, 225.9, 188.8, 158.9, 214.1, 
##     282.5, 230, 195.7, 246.2, 167.6, 162.4, 260.6, 168.9, 208.7, 
##     189.1, 182.5, 177.9, 214.2, 170.9, 254.8, 214.4, 126.7, 259.2, 
##     142.1, 205.7, 180.6, 197.2, 210, 302, 148.1, 293.9, 253.8, 
##     212.2, 306.6, 271.8, 192.8, 217.8, 180.6, 135.3, 200.8, 263.3, 
##     176, 224, 293.3, 198.1, 173.3, 182.2, 166.5, 256.7, 175.2, 
##     159, 157.1, 67.7, 306.2, 169.6, 314.1, 153.5, 154.5, 215.4, 
##     248.9, 171.2, 162.6, 178.9, 195.1, 181.1, 210.7, 155.7, 254.8, 
##     205.2, 157.6, 122.7, 308.9, 79.3, 239.1, 298.2, 221.7, 108.1, 
##     177.1, 228.5, 162.5, 210.5, 123.8, 235.3, 209.9, 163.2, 82.3, 
##     223, 240.1, 103, 161.3, 179, 96.4, 188.3, 167.8, 186.4, 194.8, 
##     263.4, 247.2, 200.5, 165.5, 87.5, 159.3, 195.3, 129.6, 164.4, 
##     153.2, 195.6, 252.3, 207.3, 208, 181, 128.9, 190.5, 240.3, 
##     168.8, 128.2, 235.2, 216.5, 248.3, 205.9, 253.9, 130.2, 89.7, 
##     211.4, 130.8, 167.3, 129.2, 265.9, 107.6, 228.9, 203.4, 251.5, 
##     192.7, 116.3, 244.7, 127.4, 175.6, 144.4, 215.4, 208, 219.6, 
##     227, 229.7, 166.6, 99.7, 255.7, 190.5, 270, 239.5, 236.3, 
##     228.1, 177.4, 163.5, 118.3, 192.3, 101.7, 157.8, 147.2, 260.8, 
##     239.9, 116.4, 182.4, 166.7, 297.5, 255.1, 98, 180.9, 194.6, 
##     193.9, 207.1, 218.5, 172.7, 159, 266.9, 210, 149.8, 117.2, 
##     239.8, 149.2, 209.6, 141.3, 199.6, 188.4, 268.9, 179.6, 217, 
##     185.3, 120.8, 300, 281.1, 140.8, 267.1, 127.3, 162.2, 256.7, 
##     221.9, 188.3, 120.2, 288.9, 216.6, 147.4, 238.4, 191, 117.9, 
##     174.7, 231.5, 143.6, 189.1, 216.8, 238.4, 118.9, 246.9, 289.5, 
##     174.1, 154.6, 229.4, 355.1, 155.1, 186.9, 179.4, 142.4, 71.1, 
##     202, 148.8, 138.4, 182.9, 249.9, 196.8, 153.5, 200.6, 181.8, 
##     257.9, 227.5, 172.9, 253.9, 220, 240.6, 108.9, 172.4, 189.4, 
##     189.6, 259.6, 76.5, 244.9, 121.7, 233.7, 172.4, 162.1, 163.2, 
##     179.3, 250.9, 264.4, 225.2, 282.5, 230.1, 352.2, 224.4, 177.6, 
##     195.2, 208.3, 210.7, 191.7, 191.4, 278.5, 302.2, 192.9, 199.1, 
##     203, 213.6, 243.6, 180.1, 241.8, 175.5, 229, 206.7, 187.9, 
##     167.1, 247.9, 171, 174.2, 192.5, 291.2, 139, 171.6, 228.1, 
##     253.4, 190.2, 75.3, 154.6, 195, 234.7, 207.4, 215.9, 220.2, 
##     186.5, 188.7, 332.8, 211.4, 206.6, 139.2, 238.6, 178.4, 137.6, 
##     237.4, 204, 222.7, 312.8, 295.8, 260, 218.8, 197.8, 193.6, 
##     269.4, 120, 249.4, 217.4, 188.3, 224.2, 227.9, 153.9, 219.6, 
##     253.6, 203, 173.4, 251.6, 150.6, 211.9, 131, 188.9, 295.9, 
##     252.6, 183.2, 179.3, 196.2, 192.5, 192.5, 206.3, 223.4, 185.3, 
##     177.6, 294.8, 251.3, 220.4, 190.9, 305.4, 202, 121.1, 204.8, 
##     219, 230.9, 177.1, 199.9, 178, 280.2, 303.5, 159.4, 311.1, 
##     237.3, 217.2, 210, 143.3, 224.7, 261.3, 272.8, 186.7, 217.1, 
##     285.3, 180.6, 192, 240.2, 237, 192.2, 214.4, 144, 173.1, 
##     248, 130.6, 145.2, 228.6, 267.9, 156.9, 175, 234.9, 264.7, 
##     149.9, 136.6, 202.1, 119.5, 158.5, 167.5, 189.7, 267.5, 165.2, 
##     84.1, 101.1, 233.7, 308.5, 221.1, 225, 94.1, 181, 143.2, 
##     222.2, 105.1, 139.3, 240.3, 211.6, 130.7, 143.9, 233.1, 218.5, 
##     149.7, 197.8, 240.8, 174.1, 155.3, 202.2, 238.7, 170.1, 136.2, 
##     240.3, 187.7, 204.3, 155.6, 196, 220.6, 248.1, 175.8, 137.9, 
##     242.7, 147.4, 303.5, 174.1, 170.2, 213, 183.1, 156.2, 189.6, 
##     218.5, 228.9, 183.4, 253.6, 166.3, 277, 252.9, 216.5, 199.6, 
##     158.6, 101.4, 258.3, 175.7, 212.9, 194, 152.8, 214.5, 183.8, 
##     241.8, 219.3, 140.5, 172.9, 169.4, 151.7, 270.4, 216.6, 173.1, 
##     245, 284.6, 274.7, 164.5, 151.3, 110, 147.1, 259.8, 221.8, 
##     200.9, 213.7, 179.3, 195, 225.2, 213.5, 104.4, 187.5, 216.7, 
##     257.9, 208.5, 190.9, 110.8, 214, 146.4, 191.7, 294.7, 179.4, 
##     201.9, 168.6, 144.7, 223.1, 247.2, 141, 204, 174.3, 271.5, 
##     246.9, 113.5, 190.3, 278.1, 162.9, 154.7, 152.4, 271.7, 214.5, 
##     191.4, 233.4, 179.1, 155.7, 111.4, 129.3, 229.5, 112.7, 283.6, 
##     189.5, 168.2, 253.4, 173.2, 182.4, 228.6, 196.3, 178.7, 247.2, 
##     196.5, 239.2, 241.2, 233.3, 350.2, 145.7, 206.3, 137.7, 194, 
##     211.6, 240.5, 185.9, 188.7, 212.2, 187.3, 159.8, 246.1, 150.3, 
##     169.7, 164.6, 171.8, 131.3, 184.2, 150.4, 236.1, 221.8, 185.2, 
##     166.3, 229.4, 136.4, 235.5, 194.2, 141.5, 215.8, 150, 164.9, 
##     244.8, 168.2, 150.4, 213.3, 250.6, 166.7, 219.8, 236.6, 270, 
##     282.5, 204.6, 212.7, 178.2, 152.8, 108, 197.7, 225.4, 237.3, 
##     186.2, 153.1, 249.2, 255.3, 133.3, 152.3, 173.9, 168.7, 120.2, 
##     150.9, 152.1, 212.2, 206.3, 170.1, 268.5, 227.3, 197.4, 213, 
##     189.6, 201, 120.3, 193.8, 260.1, 282.9, 145.1, 228.4, 195.4, 
##     223.7, 206.4, 213.7, 214.4, 226, 201.1, 166, 170.2, 250.9, 
##     148.6, 186.2, 210.4, 289.3, 165.1, 256.5, 221.2, 243.3, 181.1, 
##     146.7, 199.7, 228.6, 208.2, 229.8, 219.2, 163.1, 214.6, 274.7, 
##     162.6, 137.9, 180.1, 139.4, 148.4, 172.4, 263.9, 195.7, 82.4, 
##     248.7, 173.3, 235.6, 122.6, 210.5, 122.1, 249.5, 142.4, 244.7, 
##     256.5, 149.5, 162.6, 227.8, 214, 132.9, 210.5, 321.7, 182.1, 
##     284.4, 208.4, 132.8, 182.2, 310.9, 141.9, 209.7, 153, 111.7, 
##     99.7, 160.4, 253.7, 249.9, 256.2, 201.1, 186.8, 243.3, 216.3, 
##     112, 189.4, 203.8, 207.5, 134.9, 142.6, 183.2, 212.4, 241.3, 
##     190.7, 180.9, 317.3, 216.4, 182.1, 182.6, 167, 191.4, 198.4, 
##     259.3, 231.5, 162.8, 189.3, 154.8, 116.1, 256.1, 269.2, 197.3, 
##     214, 206, 259.2, 150.8, 223.2, 130.2, 224.8, 180.3, 198.5, 
##     187.6, 227.6, 188.6, 227.5, 163.3, 142.4, 279.8, 207.4, 182.4, 
##     94.9, 195.9, 255.3, 191.4, 226.7, 114.3, 210.4, 133.1, 170.6, 
##     262.7, 181.2, 245.3, 169.5, 212.6, 205, 217.4, 232.3, 154.9, 
##     165.9, 160.3, 227.7, 199.7, 136.1, 178.1, 247, 239.9, 175.1, 
##     263.6, 229.5, 204.7, 202.6, 279, 256.7, 136.7, 151.6, 209.6, 
##     143.2, 221.5, 153.9, 148.7, 131.6, 163.1, 159.7, 238.5, 188, 
##     255.3, 237.7, 236.7, 266, 263.4, 158.8, 245.1, 235.4, 221.2, 
##     117.8, 196.3, 282.3, 208.3, 132.9, 245.5, 215.3, 255.7, 152.9, 
##     143.1, 196.8, 242.4, 280.5, 177.3, 217.8, 203.3, 54, 160.5, 
##     187.2, 219.7, 278.2, 176.7, 220.8, 310.1, 190.6, 210.5, 201.8, 
##     188, 159, 279.1, 272.6, 196, 342.8, 208.2, 177.4, 169.4, 
##     253, 145.7, 199.1, 164.3, 210.7, 113.3, 225.1, 259.2, 233.4, 
##     85.4, 217, 202.1, 136.3, 205.7, 227.7, 89.7, 183.9, 205.2, 
##     219, 166.2, 227, 125.9, 188.8, 241.6, 190.6, 151.8, 160.4, 
##     220.3, 209.3, 184.1, 203.7, 187.8, 281.4, 188.2, 243.1, 173.4, 
##     89.7, 164.7, 249.2, 121.4, 172.5, 225.7, 179.6, 178.5, 211.4, 
##     179.1, 188.4, 197.4, 329.2, 239.7, 164, 220.6, 290.5, 315, 
##     201.8, 152.2, 86.9, 203.3, 229.9, 208.9, 220.9, 295.3, 245.1, 
##     146.2, 165.6, 141.5, 191.6, 237.1, 237, 206.7, 159.2, 180.6, 
##     123.3, 192, 240.7, 273.4, 220.8, 185.4, 98.9, 260.5, 250.7, 
##     200.8, 147.3, 129.9, 287.4, 213.2, 196.3, 177.3, 186.9, 215.3, 
##     152.3, 56.6, 260.1, 234.7, 279.8, 252.9, 129.7, 208.6, 198, 
##     202.7, 211.1, 224.6, 267.5, 245.3, 229.9, 231.8, 217.5, 135.5, 
##     167.7, 289.2, 205.6, 160.1, 220, 224.6, 258.8, 159.8, 140.3, 
##     259.7, 280.8, 194, 239.3, 171.4, 209, 233, 255.7, 170.2, 
##     230.2, 141.2, 229.5, 134.3, 182.1, 50.1, 138.7, 126.9, 182.5, 
##     262, 168.4, 169.7, 105, 164.4, 170.1, 169.7, 278.8, 226.7, 
##     269.2, 217.4, 125.9, 169.9, 174.4, 182.4, 219.5, 159.7, 185.4, 
##     210.5, 140, 185.3, 180.9, 146.2, 122.3, 184, 294.5, 192.4, 
##     214.1, 227.7, 260.9, 191.2, 265.7, 110.7, 167.6, 130.1, 246.4, 
##     260.7, 248.9, 173.6, 246, 279.4, 212.5, 154.7, 186.2, 181.7, 
##     237.6, 191, 93.5, 179.5, 181.8, 104, 248.2, 166.7, 245.9, 
##     222, 112.5, 198, 192.9, 131.9, 173.1, 176.3, 213.1, 142.3, 
##     221.6, 281.3, 169.7, 208.4, 170.8, 173.4, 184.8, 182.5, 235, 
##     120.3, 153.5, 229.2, 275.3, 98.2, 185.7, 217, 206.6, 228.4, 
##     148.1, 377.5, 194.6, 249.9, 280.2, 172.4, 194.7, 156.3, 209.5, 
##     185.4, 183.5, 239.4, 144.9, 180.6, 223.3, 144, 258.2, 209.5, 
##     162.8, 216.1, 203.4, 187.9, 196.8, 206.7, 145.2, 189, 154.2, 
##     188.3, 195.6, 167.7, 214.4, 252.5, 185.3, 168.8, 209.2, 267.1, 
##     220.7, 172.9, 227.8, 196.2, 208.8, 243.4, 137.1, 204, 207.8, 
##     153.1, 161.1, 158.7, 162.4, 103.9, 146.9, 280.1, 212.4, 168.9, 
##     123, 229.1, 234.2, 159.4, 107.5, 228.6, 167, 210.6, 242.6, 
##     131.5, 258.8, 309.7, 164.7, 170.3, 166.6, 218.5, 156.8, 138.2, 
##     252.1, 212.7, 214.8, 217.6, 264.2, 67.1, 146.9, 231.5, 222.1, 
##     247.6, 228.4, 177.3, 249.7, 197.4, 228.1, 210.3, 248.2, 253.9, 
##     178, 240, 167.5, 291, 207.8, 111.2, 277.8, 215.7, 253.5, 
##     268.2, 166.8, 259.9, 247.5, 118.7, 271.9, 133.5, 243.6, 174.2, 
##     181.1, 192.7, 250.5, 191.8, 224.5, 255.1, 273, 209.8, 96.9, 
##     241.2, 215.9, 247, 259.7, 261.8, 184.3, 205.7, 184.6, 323.7, 
##     239.2, 227.2, 279.2, 214.6, 242.3, 196.9, 281.9, 189.7, 136.8, 
##     161.3, 197.8, 155.5, 260.1, 364.3, 152.6, 269.9, 109.6, 240.1, 
##     210.3, 243.6, 203.4, 258.2, 129.1, 153.3, 316.4, 165.7, 194.8, 
##     182.3, 187.9, 289.9, 205.7, 283.5, 180.7, 181.5, 175, 215.8, 
##     246.4, 169.2, 128.4, 284.6, 77.1, 213.8, 176.1, 172.6, 119.5, 
##     181.7, 160.9, 172.7, 186.9, 171.7, 168.7, 221.9, 234, 154.9, 
##     222.4, 187.2, 149.3, 222, 226.2, 252.3, 240, 280.7, 250, 
##     173.2, 157.8, 254.6, 208, 289.9, 156.7, 196.8, 151.9, 174.9, 
##     233, 177.6, 196.2, 204.7, 152.8, 153.9, 259, 152.4, 149.5, 
##     211.4, 238.2, 267.2, 224.1, 196.9, 198.1, 235.4, 176.5, 245.8, 
##     240.2, 210.4, 166.9, 180.4, 149.5, 208.3, 256.5, 262.7, 192, 
##     160.7, 134.3, 183.6, 194.9, 206.2, 105.2, 145.7, 255, 104, 
##     176.7, 167.9, 238.9, 167, 280.8, 252.9, 230.2, 126.7, 248.4, 
##     208.9, 180.1, 214.5, 226.5, 240.7, 282.6, 142.8, 143.9, 305.2, 
##     263.2, 268.6, 169.4, 228.1, 212.9, 224.1, 177.7, 236.3, 208.8, 
##     165.1, 193.3, 146.5, 195.5, 161.8, 280.2, 215.5, 171.4, 261.5, 
##     163.4, 180.5, 255.3, 125.7, 256.3, 221.7, 244, 297.1, 179.1, 
##     266.2, 191.4, 236.9, 240.3, 179.6, 216.4, 222.4, 156.9, 204, 
##     178.7, 160.4, 215.5, 258.6, 146, 200.2, 272, 214.7, 194.3, 
##     294.3, 140.2, 170.1, 169.8, 184.8, 276.9, 291.7, 226.7, 132.9, 
##     185, 179.7, 262.7, 192, 179.6, 179.7, 252.7, 183.9, 102.4, 
##     211.2, 232.8, 218.8, 164.3, 118.3, 217.7, 160.1, 148.2, 241, 
##     182.9, 270.9, 242.7, 187.2, 156.3, 251.2, 167.4, 264.8, 212.8, 
##     244.5, 215.1, 270.1, 174.3, 227, 139.4, 147.9, 241.5, 140.1, 
##     215.7, 177, 229.9, 158.6, 156.6, 195.1, 124.9, 275.8, 263.3, 
##     215.6, 213.6, 165.6, 182.3, 250.9, 111.7, 259, 249.8, 175.9, 
##     195.3, 218.5, 241, 222.3, 211.9, 182.3, 274.2, 221.3, 199.5, 
##     171.3, 269.7, 190.5, 263.9, 256.4, 285.3, 194.7, 194.7, 255.6, 
##     203.8, 128.8, 227.9, 83.9, 243.3, 114.5, 263.7, 131.4, 208.1, 
##     177.8, 197.4, 204.1, 298.9, 249.4, 213.1, 224, 206.7, 223, 
##     247.5, 249.9, 163.4, 146.5, 208.9, 173.7, 216.5, 138.3, 143.7, 
##     151.2, 258.8, 255.4, 135.4, 263.6, 230.8, 167.4, 197.6, 187.2, 
##     225.2, 225.8, 185.6, 247.6, 166.1, 176.5, 184.6, 225.6, 176.5, 
##     236, 240.5, 205.9, 229.1, 205.8, 267.6, 240, 216.2, 249.4, 
##     253.2, 148, 130.2, 196.1, 231.1, 193.6, 203.3, 200.1, 162.9, 
##     190.5, 263.2, 242.9, 154.5, 309.2, 201, 268.4, 178.9, 187.6, 
##     180.2, 207.1, 228.7, 193.7, 218, 123.8, 138.3, 214.6, 221.6, 
##     253.2, 206.7, 173.8, 291.8, 244.2, 259.7, 172.5, 294.7, 231.7, 
##     184.5, 139.5, 256.3, 249.4, 170.6, 192, 150.6, 138.6, 226.6, 
##     206.5, 164, 182.7, 202.1, 225.4, 185.7, 221.3, 212.3, 204.5, 
##     195.3, 191.8, 175.1, 270.6, 89.3, 270, 108.2, 182.1, 95, 
##     184, 220.3, 136.3, 196.2, 265.4, 189.3, 231.1, 188.6, 223.5, 
##     172.3, 265.4, 234.2, 286.7, 201.2, 259.2, 210.2), c(56, 73, 
##     86, 114, 104, 128, 53, 80, 84, 110, 104, 127, 79, 134, 71, 
##     114, 116, 93, 108, 54, 88, 103, 122, 75, 94, 95, 91, 98, 
##     126, 106, 108, 91, 128, 99, 74, 112, 55, 77, 105, 114, 89, 
##     94, 79, 110, 96, 81, 94, 100, 77, 95, 115, 89, 88, 136, 64, 
##     94, 106, 69, 104, 121, 116, 105, 96, 105, 105, 92, 95, 113, 
##     73, 110, 132, 105, 86, 132, 102, 131, 79, 72, 133, 114, 67, 
##     96, 121, 63, 103, 121, 134, 131, 106, 78, 83, 82, 56, 88, 
##     141, 118, 98, 59, 106, 100, 120, 85, 121, 75, 96, 112, 100, 
##     112, 94, 96, 96, 132, 89, 108, 99, 110, 64, 92, 99, 101, 
##     88, 91, 83, 131, 87, 99, 85, 119, 125, 73, 79, 105, 117, 
##     88, 93, 129, 117, 104, 152, 76, 79, 159, 89, 111, 121, 116, 
##     65, 79, 109, 95, 78, 115, 106, 97, 78, 60, 111, 118, 72, 
##     112, 77, 118, 97, 94, 113, 109, 57, 95, 106, 117, 133, 129, 
##     115, 108, 74, 85, 106, 115, 105, 123, 111, 137, 118, 108, 
##     97, 98, 92, 90, 109, 93, 119, 89, 105, 78, 74, 64, 105, 69, 
##     102, 102, 87, 95, 94, 98, 131, 87, 86, 104, 79, 107, 64, 
##     85, 91, 132, 104, 100, 100, 99, 107, 79, 102, 115, 101, 75, 
##     86, 108, 130, 114, 97, 123, 87, 132, 111, 103, 94, 100, 95, 
##     82, 86, 89, 118, 117, 78, 70, 84, 116, 122, 105, 111, 101, 
##     75, 100, 97, 106, 121, 116, 144, 91, 89, 128, 102, 79, 96, 
##     106, 94, 61, 83, 106, 82, 92, 126, 102, 94, 101, 97, 108, 
##     73, 114, 93, 101, 102, 97, 122, 112, 102, 122, 83, 121, 83, 
##     136, 106, 93, 61, 112, 132, 89, 114, 57, 106, 86, 71, 124, 
##     98, 125, 106, 127, 95, 65, 105, 114, 115, 125, 131, 78, 76, 
##     112, 125, 107, 105, 69, 123, 113, 109, 98, 77, 68, 96, 96, 
##     88, 66, 106, 99, 89, 86, 82, 72, 74, 83, 114, 104, 72, 76, 
##     145, 108, 98, 115, 143, 65, 99, 127, 108, 84, 79, 98, 96, 
##     112, 93, 105, 90, 123, 53, 100, 111, 103, 72, 72, 78, 113, 
##     78, 118, 83, 91, 82, 97, 109, 97, 109, 109, 73, 93, 124, 
##     96, 98, 103, 119, 115, 72, 89, 112, 88, 99, 73, 83, 139, 
##     101, 112, 114, 91, 115, 90, 100, 90, 88, 105, 135, 78, 96, 
##     95, 96, 92, 96, 75, 112, 81, 81, 95, 104, 56, 96, 116, 96, 
##     122, 85, 71, 100, 65, 82, 129, 97, 91, 116, 81, 135, 126, 
##     132, 103, 78, 92, 77, 129, 71, 61, 82, 88, 116, 95, 78, 93, 
##     108, 115, 123, 92, 98, 105, 123, 113, 92, 108, 86, 124, 105, 
##     73, 81, 113, 86, 89, 103, 126, 97, 94, 94, 106, 105, 80, 
##     142, 120, 85, 76, 97, 102, 108, 81, 100, 92, 76, 114, 133, 
##     136, 102, 80, 120, 114, 117, 69, 138, 120, 112, 118, 83, 
##     74, 127, 109, 93, 117, 99, 105, 75, 84, 109, 55, 95, 93, 
##     111, 128, 67, 91, 99, 53, 107, 105, 90, 64, 99, 82, 84, 89, 
##     121, 100, 91, 107, 92, 79, 151, 93, 107, 126, 119, 120, 122, 
##     93, 98, 73, 90, 108, 90, 95, 100, 98, 69, 89, 91, 119, 78, 
##     90, 103, 145, 115, 78, 95, 86, 110, 94, 101, 88, 96, 91, 
##     77, 118, 118, 84, 115, 136, 65, 69, 91, 109, 73, 108, 96, 
##     107, 75, 91, 87, 113, 89, 100, 111, 109, 113, 64, 114, 97, 
##     112, 89, 121, 109, 100, 88, 88, 106, 100, 113, 84, 113, 87, 
##     92, 84, 105, 100, 93, 92, 78, 86, 110, 91, 75, 75, 118, 102, 
##     81, 110, 78, 91, 136, 74, 102, 118, 90, 87, 111, 90, 115, 
##     86, 131, 141, 76, 113, 88, 84, 89, 67, 117, 95, 129, 100, 
##     140, 91, 120, 86, 120, 118, 99, 137, 100, 84, 108, 62, 104, 
##     88, 115, 123, 97, 136, 87, 87, 99, 90, 92, 113, 115, 127, 
##     103, 82, 111, 57, 116, 93, 94, 152, 71, 121, 138, 78, 116, 
##     95, 101, 109, 87, 110, 98, 95, 80, 93, 137, 81, 99, 115, 
##     105, 64, 87, 108, 82, 139, 94, 121, 112, 94, 113, 71, 107, 
##     89, 128, 96, 85, 82, 110, 100, 74, 103, 111, 85, 94, 111, 
##     151, 97, 111, 97, 83, 95, 119, 76, 123, 79, 110, 116, 80, 
##     141, 94, 84, 125, 108, 103, 95, 111, 86, 95, 73, 105, 84, 
##     132, 89, 131, 66, 77, 137, 118, 100, 123, 42, 109, 98, 111, 
##     128, 94, 100, 76, 99, 76, 96, 125, 119, 133, 92, 80, 78, 
##     89, 81, 58, 98, 126, 118, 99, 98, 115, 61, 113, 109, 127, 
##     65, 99, 87, 123, 129, 82, 101, 110, 98, 63, 148, 103, 108, 
##     76, 103, 71, 102, 91, 154, 103, 84, 117, 118, 113, 108, 99, 
##     93, 118, 107, 116, 85, 72, 92, 78, 112, 104, 118, 84, 105, 
##     67, 104, 88, 98, 96, 115, 69, 98, 122, 122, 74, 76, 119, 
##     82, 77, 80, 107, 106, 88, 125, 81, 117, 59, 101, 137, 90, 
##     70, 110, 87, 103, 123, 103, 119, 105, 49, 74, 94, 90, 96, 
##     133, 59, 126, 100, 91, 108, 99, 103, 111, 103, 97, 92, 110, 
##     86, 91, 125, 127, 76, 114, 118, 87, 94, 66, 96, 78, 98, 110, 
##     94, 97, 100, 111, 113, 105, 93, 108, 107, 68, 124, 103, 68, 
##     94, 114, 108, 113, 119, 67, 105, 110, 98, 122, 73, 82, 123, 
##     111, 90, 123, 124, 118, 73, 86, 130, 114, 120, 102, 106, 
##     120, 77, 99, 117, 73, 43, 92, 109, 88, 75, 88, 125, 89, 70, 
##     90, 89, 146, 91, 125, 94, 130, 128, 127, 115, 118, 118, 102, 
##     139, 117, 67, 77, 104, 110, 103, 119, 92, 108, 139, 106, 
##     129, 104, 133, 113, 121, 99, 69, 89, 103, 107, 67, 70, 99, 
##     97, 98, 136, 116, 103, 98, 128, 103, 91, 92, 99, 74, 95, 
##     113, 126, 92, 48, 90, 155, 93, 123, 67, 90, 91, 109, 85, 
##     113, 94, 124, 92, 119, 130, 74, 109, 64, 101, 94, 76, 103, 
##     79, 90, 93, 96, 98, 115, 66, 114, 100, 104, 147, 76, 156, 
##     86, 74, 116, 89, 74, 93, 66, 95, 66, 87, 100, 109, 79, 83, 
##     101, 118, 103, 124, 116, 127, 93, 65, 106, 126, 145, 66, 
##     119, 101, 107, 84, 117, 63, 120, 77, 79, 86, 110, 96, 136, 
##     103, 120, 137, 101, 114, 112, 128, 83, 72, 62, 104, 108, 
##     126, 122, 93, 116, 122, 92, 73, 131, 82, 60, 120, 58, 88, 
##     97, 110, 80, 106, 100, 102, 123, 104, 104, 103, 110, 137, 
##     100, 103, 113, 115, 92, 66, 124, 78, 73, 91, 108, 116, 88, 
##     113, 107, 105, 131, 92, 79, 106, 93, 111, 96, 90, 78, 53, 
##     98, 105, 119, 124, 86, 78, 75, 97, 89, 117, 91, 96, 75, 84, 
##     119, 116, 77, 106, 85, 75, 117, 141, 82, 99, 121, 100, 131, 
##     94, 112, 83, 137, 86, 85, 117, 119, 134, 119, 124, 105, 100, 
##     116, 72, 77, 102, 88, 106, 105, 88, 75, 115, 114, 132, 60, 
##     77, 99, 87, 104, 124, 80, 110, 111, 107, 98, 119, 126, 85, 
##     96, 101, 97, 94, 109, 113, 87, 69, 107, 140, 127, 97, 105, 
##     119, 73, 91, 128, 82, 87, 104, 117, 111, 101, 94, 91, 124, 
##     95, 93, 108, 93, 124, 102, 109, 104, 112, 122, 86, 98, 83, 
##     159, 74, 100, 114, 119, 106, 87, 75, 121, 76, 151, 125, 91, 
##     113, 105, 111, 116, 141, 132, 158, 133, 120, 90, 102, 111, 
##     107, 75, 78, 113, 128, 126, 86, 100, 83, 67, 101, 103, 124, 
##     89, 90, 91, 83, 84, 79, 103, 118, 91, 108, 59, 124, 94, 85, 
##     90, 84, 121, 94, 129, 105, 76, 96, 122, 88, 119, 120, 115, 
##     132, 116, 114, 146, 95, 100, 119, 102, 105, 86, 98, 130, 
##     107, 119, 99, 105, 100, 101, 75, 94, 77, 80, 95, 89, 84, 
##     87, 74, 90, 96, 57, 96, 116, 83, 139, 106, 93, 115, 102, 
##     105, 108, 104, 73, 120, 108, 134, 107, 101, 58, 80, 108, 
##     97, 83, 110, 90, 80, 111, 84, 65, 109, 99, 77, 107, 109, 
##     127, 116, 77, 141, 91, 100, 103, 95, 99, 77, 116, 83, 109, 
##     94, 129, 93, 92, 95, 68, 111, 125, 88, 89, 131, 93, 88, 92, 
##     109, 98, 102, 164, 107, 108, 89, 70, 84, 108, 103, 85, 102, 
##     113, 99, 103, 150, 109, 75, 118, 51, 99, 107, 123, 104, 97, 
##     110, 88, 143, 64, 81, 100, 104, 118, 98, 56, 96, 96, 104, 
##     88, 116, 112, 87, 108, 104, 100, 132, 117, 87, 89, 93, 77, 
##     144, 109, 142, 92, 99, 97, 63, 103, 114, 149, 90, 77, 115, 
##     109, 112, 95, 92, 107, 67, 94, 125, 92, 84, 97, 130, 101, 
##     123, 98, 68, 128, 148, 61, 114, 93, 110, 121, 91, 102, 100, 
##     175, 124, 121, 104, 131, 113, 110, 134, 109, 90, 91, 80, 
##     104, 75, 105, 113, 86, 72, 87, 143, 72, 59, 98, 113, 138, 
##     134, 107, 165, 99, 94, 107, 70, 123, 96, 93, 95, 104, 104, 
##     100, 95, 105, 79, 142, 89, 122, 87, 68, 75, 122, 59, 131, 
##     114, 86, 121, 100, 125, 84, 123, 131, 98, 104, 102, 85, 67, 
##     104, 96, 120, 121, 112, 87, 115, 140, 94, 111, 95, 111, 107, 
##     100, 130, 96, 115, 115, 103, 85, 59, 114, 105, 64, 66, 120, 
##     106, 110, 111, 106, 121, 90, 91, 119, 111, 96, 127, 91, 96, 
##     109, 113, 92, 113, 94, 86, 107, 120, 80, 82, 103, 123, 111, 
##     122, 142, 114, 115, 83, 120, 93, 82, 109, 86, 102, 102, 132, 
##     97, 109, 114, 112, 108, 98, 88, 88, 96, 114, 122, 72, 121, 
##     84, 115, 90, 123, 116, 92, 115, 102, 38, 95, 91, 118, 82, 
##     83, 128, 116, 106, 149, 115, 95, 92, 110, 85, 90, 76, 110, 
##     83, 129, 134, 110, 114, 50, 100, 67, 153, 135, 125, 89, 81, 
##     93, 131, 103, 53, 81, 92, 93, 107, 111, 121, 123, 111, 81, 
##     91, 113, 124, 107, 68, 97, 60, 127, 104, 81, 120, 89, 122, 
##     101, 98, 80, 124, 104, 99, 74, 114, 106, 92, 66, 91, 113, 
##     125, 90, 140, 109, 99, 84, 98, 92, 106, 107, 126, 111, 121, 
##     109, 95, 129, 107, 82, 85, 90, 98, 100, 125, 129, 102, 103, 
##     61, 102, 152, 106, 93, 143, 115, 100, 109, 129, 129, 96, 
##     152, 70, 170, 101, 102, 95, 112, 95, 102, 81, 128, 72, 77, 
##     105, 92, 84, 83, 135, 83, 99, 126, 80, 128, 100, 82, 107, 
##     127, 136, 86, 99, 91, 113, 111, 113, 84, 133, 91, 94, 76, 
##     90, 72, 79, 68, 97, 123, 69, 91, 104, 137, 73, 101, 79, 79, 
##     84, 93, 121, 52, 75, 85, 123, 61, 124, 117, 108, 105, 146, 
##     104, 100, 108, 86, 116, 120, 86, 125, 140, 112, 89, 110, 
##     93, 76, 135, 98, 94, 115, 69, 111, 105, 63, 105, 80, 90, 
##     86, 79, 121, 109, 121, 111, 119, 98, 68, 101, 80, 118, 94, 
##     103, 92, 128, 102, 113, 104, 102, 102, 68, 126, 117, 84, 
##     86, 113, 61, 95, 106, 128, 116, 113, 77, 101, 63, 84, 80, 
##     100, 98, 118, 100, 101, 109, 92, 92, 115, 111, 83, 119, 81, 
##     135, 77, 72, 120, 112, 123, 114, 103, 110, 129, 97, 101, 
##     87, 58, 76, 81, 122, 145, 155, 86, 106, 106, 94, 94, 128, 
##     106, 67, 95, 74, 95, 118, 97, 113, 73, 108, 122, 73, 78, 
##     108, 112, 121, 120, 121, 118, 81, 91, 151, 110, 81, 104, 
##     60, 111, 100, 112, 103, 86, 71, 87, 83, 145, 100, 92, 148, 
##     105, 82, 109, 99, 121, 89, 107, 125, 87, 96, 115, 98, 96, 
##     113, 112, 81, 87, 111, 91, 85, 158, 86, 120, 82, 97, 82, 
##     92, 99, 97, 80, 124, 97, 78, 79, 90, 107, 99, 111, 95, 117, 
##     105, 73, 101, 102, 68, 89, 81, 102, 120, 134, 137, 110, 93, 
##     117, 114, 72, 91, 126, 79, 113, 87, 125, 109, 83, 87, 87, 
##     103, 104, 67, 87, 118, 96, 98, 101, 127, 71, 94, 97, 108, 
##     103, 151, 103, 85, 157, 73, 80, 119, 65, 105, 95, 96, 104, 
##     112, 113, 87, 102, 112, 110, 130, 99, 117, 87, 103, 102, 
##     79, 106, 112, 95, 81, 90, 106, 128, 129, 89, 90, 121, 83, 
##     107, 91, 67, 117, 112, 83, 105, 122, 87, 81, 120, 84, 108, 
##     105, 118, 92, 79, 92, 103, 123, 128, 132, 88, 81, 82, 95, 
##     78, 83, 60, 93, 80, 94, 98, 109, 81, 131, 65, 113, 119, 119, 
##     97, 93, 104, 91, 77, 122, 114, 111, 93, 120, 49, 107, 88, 
##     83, 74, 83, 138, 85, 93, 93, 113, 83, 98, 107, 83, 102, 77, 
##     117, 104, 88, 95, 138, 94, 50, 145, 102, 105, 100, 75, 63, 
##     112, 68, 119, 98, 117, 99, 102, 99, 137, 96, 101, 105, 124, 
##     84, 79, 122, 99, 80, 112, 102, 128, 88, 82, 81, 92, 80, 107, 
##     81, 102, 107, 59, 133, 89, 91, 123, 76, 105, 113, 88, 107, 
##     92, 128, 103, 53, 107, 145, 107, 113, 114, 79, 131, 117, 
##     61, 131, 83, 79, 115, 87, 92, 99, 85, 83, 115, 79, 76, 87, 
##     63, 69, 67, 130, 111, 78, 124, 80, 104, 77, 71, 106, 105, 
##     118, 107, 114, 124, 91, 122, 97, 114, 99, 98, 96, 69, 81, 
##     97, 137, 71, 98, 116, 118, 91, 108, 86, 95, 119, 112, 97, 
##     139, 67, 68, 136, 115, 87, 83, 87, 102, 67, 86, 75, 66, 99, 
##     87, 94, 121, 109, 123, 77, 119, 82, 121, 122, 71, 131, 81, 
##     74, 91, 105, 75, 102, 95, 86, 122, 87, 123, 114, 133, 94, 
##     83, 81, 90, 74, 133, 132, 93, 98, 85, 121, 106, 77, 98, 86, 
##     78, 77, 111, 63, 86, 55, 74, 81, 101, 113, 102, 94, 102, 
##     118, 99, 90, 61, 98, 105, 114, 87, 91, 95, 99, 111, 110, 
##     113, 97, 97, 123, 112, 117, 73, 104, 100, 84, 102, 128, 108, 
##     100, 96, 128, 76, 100, 98, 112, 77, 64, 112, 96, 82, 97, 
##     86, 87, 102, 90, 109, 86, 113, 61, 90, 88, 135, 93, 104, 
##     68, 103, 49, 110, 95, 113, 141, 89, 117, 120, 114, 110, 101, 
##     75, 120, 112, 119, 114, 71, 72, 71, 105, 68, 119, 84, 108, 
##     71, 104, 102, 114, 107, 98, 91, 114, 100, 85, 109, 95, 109, 
##     82, 91, 124, 100, 68, 118, 78, 98, 76, 111, 80, 99, 64, 109, 
##     99, 95, 85, 80, 117, 95, 100, 125, 83, 120, 133, 93, 80, 
##     88, 100, 118, 120, 109, 96, 103, 129, 85, 126, 101, 88, 74, 
##     82, 84, 120, 116, 122, 85, 78, 112, 102, 105, 71, 132, 117, 
##     103, 123, 138, 121, 96, 121, 79, 100, 122, 95, 107, 90, 95, 
##     122, 123, 58, 103, 114, 75, 59, 74, 72, 104, 104, 116, 120, 
##     90, 94, 74, 133, 118, 106, 101, 126, 112, 119, 78, 78, 149, 
##     95, 98, 80, 79, 124, 96, 136, 100, 153, 144, 126, 109, 108, 
##     119, 87, 104, 65, 99, 112, 109, 103, 123, 124, 107, 110, 
##     130, 95, 95, 82, 110, 82, 85, 68, 83, 139, 131, 131, 130, 
##     137, 107, 96, 91, 90, 103, 80, 111, 125, 86, 99, 119, 81, 
##     130, 96, 125, 90, 96, 108, 120, 97, 69, 102, 68, 122, 94, 
##     85, 137, 71, 100, 95, 129, 97, 97, 110, 106, 108, 136, 49, 
##     108, 94, 108, 117, 72, 42, 68, 102, 111, 119, 91, 80, 71, 
##     88, 109, 89, 88, 102, 77, 92, 54, 88, 115, 95, 107, 94, 114, 
##     87, 84, 102, 120, 115, 107, 103, 121, 107, 81, 110, 87, 94, 
##     116, 67, 125, 122, 90, 70, 87, 101, 102, 110, 91, 96, 100, 
##     125, 145, 82, 110, 99, 129, 122, 86, 110, 68, 96, 98, 143, 
##     112, 128, 124, 121, 94, 74, 112, 79, 104, 68, 112, 76, 109, 
##     131, 118, 108, 93, 82, 97, 95, 79, 105, 121, 55, 100, 119, 
##     104, 135, 82, 70, 86, 92, 89, 139, 129, 104, 110, 110, 93, 
##     60, 79, 78, 73, 114, 114, 100, 99, 85, 113, 100, 89, 84, 
##     107, 139, 105, 117, 82, 103, 119, 116, 74, 131, 94, 131, 
##     100, 106, 95, 89, 140, 113, 86, 134, 87, 88, 109, 82, 97, 
##     110, 84, 145, 84, 89, 112, 75, 99, 146, 82, 88, 108, 110, 
##     121, 129, 123, 93, 82, 97, 88, 91, 65, 95, 104, 134, 111, 
##     102, 68, 104, 117, 114, 82, 72, 99, 69, 97, 78, 115, 136, 
##     68, 78, 84, 97, 95, 76, 95, 96, 126, 86, 132, 92, 92, 95, 
##     76, 50, 90, 99, 92, 89, 80, 99, 107, 75, 89, 100, 79, 61, 
##     131, 106, 89, 66, 100, 89, 98, 121, 104, 116, 62, 98, 97, 
##     105, 106, 110, 105, 109, 62, 105, 110, 114, 114, 79, 85, 
##     118, 86, 82, 58, 101, 97, 116, 99, 117, 106, 123, 108, 105, 
##     101, 124, 78, 70, 114, 69, 74, 92, 112, 68, 111, 74, 107, 
##     91, 91, 57, 100, 77, 95, 52, 99, 84, 94, 55, 120, 98, 95, 
##     88, 102, 71, 105, 84, 112, 123, 107, 116, 63, 76, 96, 113, 
##     56, 71, 93, 115, 69, 79, 117, 84, 119, 96, 126, 87, 104, 
##     57, 105, 87, 105, 71, 156, 89, 94, 91, 98, 81, 79, 113, 88, 
##     60, 120, 107, 79, 106, 100, 106, 87, 76, 72, 94, 89, 90, 
##     77, 115, 81, 108, 88, 106, 106, 109, 92, 40, 110, 110, 100, 
##     77, 83, 109, 108, 125, 69, 121, 74, 76, 109, 120, 123, 104, 
##     64, 122, 85, 123, 91, 95, 65, 92, 73, 88, 85, 85, 134, 124, 
##     107, 73, 94, 97, 98, 118, 90, 118, 104, 92, 67, 84, 129, 
##     95, 92, 78, 77, 117, 100, 72, 97, 83, 86, 74, 139, 99, 85, 
##     83, 75, 68, 124, 109, 87, 109, 97, 90, 87, 85, 98, 105, 75, 
##     108, 67, 38, 81, 100, 80, 89, 136, 107, 98, 135, 76, 105, 
##     83, 70, 84, 84, 123, 83, 106, 119, 124, 96, 119, 109, 72, 
##     105, 100, 69, 108, 138, 103, 83, 77, 138, 106, 120, 105, 
##     94, 105, 87, 105, 72, 92, 104, 132, 115, 84, 70, 133, 128, 
##     109, 78, 90, 102, 75, 124, 120, 113, 105, 76, 99, 78, 93, 
##     74, 88, 60, 138, 88, 94, 131, 88, 123, 91, 89, 126, 111, 
##     151, 101, 79, 83, 94, 114, 46, 104, 114, 90, 78, 99, 83, 
##     96, 67, 93, 117, 76, 108, 65, 76, 106, 82, 104, 116, 105, 
##     103, 131, 89, 111, 108, 106, 85, 96, 141, 73, 97, 94, 123, 
##     102, 97, 117, 92, 96, 93, 109, 142, 99, 119, 127, 82, 139, 
##     76, 84, 119, 115, 99, 105, 112, 113, 97, 129, 146, 73, 103, 
##     104, 96, 108, 73, 120, 80, 106, 108, 82, 119, 117, 63, 60, 
##     124, 92, 63, 76, 106, 85, 74, 86, 91, 108, 141, 117, 117, 
##     89, 132, 95, 88, 125, 82, 129, 120, 101, 114, 53, 92, 114, 
##     94, 83, 100, 121, 78, 97, 82, 153, 117, 85, 77, 143, 150, 
##     109, 94, 96, 77, 79, 90, 78, 113, 93, 111, 132, 59, 99, 93, 
##     98, 106, 77, 101, 78, 85, 113, 93, 85, 135, 99, 124, 86, 
##     82, 94, 111, 125, 81, 106, 107, 79, 64, 73, 96, 112, 102, 
##     103, 100, 121, 125, 91, 95, 90, 117, 88, 135, 104, 88, 79, 
##     104, 93, 77, 69, 101, 99, 73, 95, 114, 92, 90, 98, 140, 147, 
##     130, 125, 108, 134, 125, 119, 125, 110, 115, 103, 110, 75, 
##     116, 102, 107, 110, 83, 147, 107, 130, 73, 114, 80, 99, 92, 
##     126, 76, 115, 109, 116, 112, 99, 105, 121, 101, 80, 71, 62, 
##     89, 93, 130, 78, 122, 89, 141, 99, 104, 121, 124, 121, 73, 
##     83, 86, 129, 103, 56, 93, 128, 121, 81, 116, 88, 111, 120, 
##     71, 115, 92, 92, 110, 92, 65, 74, 108, 65, 98, 102, 106, 
##     76, 91, 92, 99, 97, 91, 97, 104, 112, 109, 125, 110, 94, 
##     106, 115, 97, 96, 103, 106, 94, 133, 91, 131, 94, 63, 42, 
##     65, 57, 114, 113, 78, 51, 102, 95, 129, 104, 118, 99, 124, 
##     109, 105, 106, 148, 73, 92, 90, 94, 137, 148, 140, 74, 119, 
##     101, 104, 115, 135, 92, 112, 78, 82, 105, 72, 125, 110, 99, 
##     83, 81, 105, 63, 123, 125, 77, 99, 82, 105, 93, 112, 87, 
##     108, 112, 105, 98, 137, 101, 82, 79, 105, 121, 100, 110, 
##     135, 102, 114, 103, 82, 98, 126, 100, 136, 82, 88, 147, 90, 
##     116, 97, 99, 83, 90, 90, 125, 97, 118, 78, 78, 101, 121, 
##     75, 98, 124, 119, 99, 90, 128, 87, 100, 102, 78, 83, 89, 
##     94, 129, 110, 92, 80, 67, 84, 117, 119, 106, 120, 102, 90, 
##     105, 116, 77, 111, 103, 123, 118, 91, 99, 120, 64, 104, 102, 
##     81, 103, 70, 113, 83, 96, 112, 76, 114, 111, 83, 97, 111, 
##     110, 86, 102, 104, 74, 91, 81, 72, 90, 116, 84, 111, 123, 
##     86, 110, 111, 110, 85, 77, 68, 121, 124, 102, 79, 91, 131, 
##     120, 89, 97, 102, 105, 76, 60, 48, 81, 109, 94, 120, 94, 
##     79, 95, 89, 107, 96, 106, 62, 105, 105, 102, 89, 88, 147, 
##     91, 124, 140, 91, 83, 104, 91, 58, 86, 90, 139, 87, 103, 
##     103, 92, 101, 78, 74, 79, 80, 123, 86, 119, 113, 117, 105, 
##     87, 62, 77, 76, 95, 81, 105, 102, 66, 117, 104, 110, 97, 
##     141, 110, 98, 105, 105, 102, 102, 74, 97, 102, 101, 91, 108, 
##     117, 143, 119, 107, 102, 84, 111, 92, 94, 110, 103, 106, 
##     109, 103, 90, 96, 99, 89, 91, 107, 82, 116, 89, 116, 91, 
##     117, 109, 99, 77, 106, 72, 85, 117, 112, 78, 104, 160, 105, 
##     73, 66, 121, 99, 98, 99, 108, 84, 75, 83, 64, 91, 69, 113, 
##     135, 77, 100, 89, 89, 105, 125, 99, 75, 53, 83, 113, 111, 
##     125, 82, 117, 115, 109, 100, 118, 69, 102, 85, 137, 107, 
##     76, 132, 100, 67, 61, 120, 125, 122, 86, 100, 109, 82, 118, 
##     129, 114, 71, 102, 108, 105, 80, 109, 88, 95, 108, 65, 93, 
##     116, 76, 126, 106, 83, 124, 85, 107, 131, 161, 64, 95, 106, 
##     109, 124, 114, 112, 56, 120, 100, 133, 110, 98, 86, 77, 112, 
##     107, 105, 106, 110, 73, 125, 105, 74, 106, 131, 97, 71, 79, 
##     109, 121, 96, 99, 71, 87, 89, 91, 133, 104, 121, 85, 121, 
##     84, 90, 130, 72, 126, 98, 72, 127, 98, 82, 80, 76, 119, 123, 
##     101, 120, 89, 105, 90, 58, 36, 92, 103, 130, 113, 82, 108, 
##     95, 132, 120, 90, 106, 73, 106, 108, 100, 124, 103, 80, 109, 
##     104, 81, 124, 46, 68, 126, 111, 97, 100, 86, 117, 115, 114, 
##     131, 112, 101, 89, 105, 113, 109, 106, 88, 107, 111, 121, 
##     83, 126, 69, 148, 90, 73, 122, 76, 105, 101, 80, 111, 118, 
##     68, 100, 88, 89, 82, 100, 146, 71, 103, 124, 92, 69, 113, 
##     103, 58, 100, 94, 73, 95, 136, 113, 122, 72, 71, 92, 144, 
##     65, 69, 100, 105, 96, 104, 105, 70, 104, 90, 102, 124, 123, 
##     109, 97, 90, 108, 109, 119, 42, 131, 104, 80, 125, 61, 136, 
##     90, 96, 105, 98, 80, 93, 112, 112, 126, 117, 111, 102, 117, 
##     118, 102, 125, 101, 91, 113, 105, 102, 86, 94, 80, 141, 125, 
##     101, 100, 68, 110, 81, 87, 72, 115, 112, 101, 132, 62, 79, 
##     90, 96, 91, 102, 94, 116, 93, 114, 109, 100, 65, 123, 120, 
##     154, 92, 99, 78, 88, 70, 107, 69, 104, 105, 69, 82, 113, 
##     98, 113, 89, 80, 72, 109, 73, 101, 94, 101, 107, 96, 101, 
##     106, 77, 106, 110, 103, 102, 115, 94, 119, 83, 108, 97, 125, 
##     79, 102, 103, 105, 75, 77, 89, 119, 98, 120, 99, 108, 98, 
##     91, 97, 110, 61, 122, 115, 92, 121, 77, 112, 112, 150), c(5.43, 
##     11.12, 9.13, 11.15, 11.77, 10.09, 10.9, 8.02, 11.57, 8.75, 
##     9.8, 7.89, 6.77, 8.71, 8.37, 10.03, 11.07, 8.42, 10.12, 10.23, 
##     9.63, 3.92, 8.03, 10.44, 9.54, 7.88, 8.67, 5.31, 12.11, 9.65, 
##     7, 11.21, 7.58, 9.12, 8.19, 6.5, 10.4, 13.84, 9.09, 7.44, 
##     9.56, 11.54, 11.31, 9.16, 12.2, 8.35, 7.08, 11.03, 12.02, 
##     8.88, 7.33, 8.06, 6.91, 13.58, 4.5, 12.48, 9.76, 10.74, 8.03, 
##     10.74, 8.07, 11.07, 9.57, 7.7, 8.53, 6.87, 7.49, 5.1, 10.62, 
##     10.44, 10.86, 8.68, 7.88, 9.09, 11.91, 10.92, 9.17, 10.44, 
##     9.45, 10.73, 9, 8.71, 9.25, 5.55, 8.73, 10.51, 9.45, 6.75, 
##     10.38, 8.31, 9.98, 15.49, 9.58, 9.29, 9.87, 10.68, 7.87, 
##     5.76, 7.07, 8.16, 4.72, 10.07, 8.18, 6.83, 10.24, 8.73, 10.68, 
##     11.37, 5.76, 8.59, 8.33, 9.08, 7.51, 6.58, 7.93, 13.69, 9.04, 
##     8.02, 8.18, 6.19, 7.91, 13.4, 6.91, 10.35, 9.63, 7.79, 8.85, 
##     12.3, 10.63, 10.41, 7.11, 9.27, 4.9, 8.32, 13.37, 9.56, 15.01, 
##     7.14, 7.16, 11.79, 11.13, 8.44, 10.68, 4.64, 11.7, 5.56, 
##     10.45, 13.18, 9.17, 13.03, 8.56, 4.78, 9.69, 7.68, 13.22, 
##     8.05, 15.86, 8.93, 11.74, 8.3, 10.06, 11.47, 11.29, 9.09, 
##     8.59, 7.54, 8.74, 5.03, 8.33, 11.23, 6.39, 11.78, 5.32, 6.98, 
##     13.74, 6.22, 9.27, 7.21, 6.48, 8.57, 8.29, 13.69, 4.09, 8.84, 
##     12.3, 6.43, 7.22, 10.84, 9.19, 11.23, 8.82, 9.14, 6.42, 5.4, 
##     4.93, 5.86, 8.74, 13.03, 8.1, 6.42, 8.45, 12.61, 6.75, 7.69, 
##     8.67, 7.46, 12.91, 7.69, 9.23, 11.13, 9.74, 12.96, 10.27, 
##     12.4, 10.08, 7.93, 6.97, 10.77, 13.26, 6.61, 10.03, 5.03, 
##     11.97, 5.06, 9.72, 8.09, 9.66, 8.46, 9.32, 6.48, 11.72, 6.28, 
##     6.37, 11.44, 9.4, 7.77, 9.61, 9.71, 9.76, 6.03, 9.44, 7.03, 
##     11.54, 12.06, 9.7, 8.28, 9.84, 8.75, 13.27, 13.75, 10.86, 
##     11.81, 10.51, 7.14, 5.86, 9.3, 12.95, 10.01, 6.13, 9.78, 
##     8.17, 8.82, 11.34, 8.65, 11.57, 10.71, 7.92, 12.06, 5.73, 
##     10.8, 7.95, 9.63, 11.18, 7.08, 8.99, 6.61, 10.31, 11.52, 
##     4.83, 7.15, 11.98, 8.73, 7.73, 7.81, 11.28, 9.81, 8.09, 10.93, 
##     8.64, 13.63, 10.89, 12.74, 10.08, 8.87, 9.63, 16.55, 8.5, 
##     5.79, 8.71, 12.01, 9.98, 7.73, 11.16, 11.08, 8.71, 8.73, 
##     11.78, 7.23, 11.12, 8.88, 11.39, 12.12, 8.78, 10.43, 10.93, 
##     14.78, 8.69, 9.72, 14.67, 6.35, 7.99, 6.94, 13.48, 9.56, 
##     10.05, 9.25, 9.53, 7.46, 6.62, 8.44, 10.17, 8.65, 5.15, 10.73, 
##     12.4, 7.83, 13.02, 7.65, 6.37, 7.58, 6.39, 9.58, 12.38, 9.76, 
##     5.97, 14.32, 7.63, 7.58, 6.56, 13.51, 9.91, 8.43, 4.38, 8.65, 
##     5.51, 13.21, 8.82, 9.55, 14.95, 4.27, 9.76, 8.06, 9.38, 11.83, 
##     10.92, 11.43, 5.49, 9.48, 9.38, 6.84, 4.71, 4.68, 10.65, 
##     6.92, 8.52, 9.38, 7.76, 8.71, 8.94, 12.65, 7.74, 6.49, 8.47, 
##     11.51, 9.37, 9.95, 7.6, 9.67, 8.42, 9.48, 5.36, 8.41, 12.84, 
##     4.94, 10.74, 8.71, 8.1, 8.36, 5.79, 11.48, 10.17, 8.4, 7.34, 
##     12, 11.74, 7.25, 9.98, 9.4, 11.28, 10.35, 11.21, 10.06, 8.71, 
##     7.85, 4.09, 13.54, 6.86, 10.22, 10.2, 10.85, 11.52, 8.68, 
##     8.14, 9.03, 12.83, 10.57, 6.05, 12.18, 8.28, 6.39, 6.61, 
##     11.1, 9.35, 8.82, 11.93, 5.28, 12.45, 5.11, 3.93, 9.9, 7.78, 
##     11.59, 8.62, 8.59, 12.23, 8.68, 11.74, 11.57, 7.35, 10.86, 
##     12.49, 7.21, 10.26, 11.63, 8.61, 9.12, 9.64, 3.61, 3.65, 
##     8.93, 13.16, 12.53, 7.87, 6.45, 4.1, 8.19, 8.38, 9.65, 10.31, 
##     8.17, 8.88, 9.49, 5.82, 7.17, 10.07, 7.28, 5.51, 8.19, 11.07, 
##     10.09, 14.1, 10.8, 11.62, 9.79, 11.31, 11.94, 5.4, 9.69, 
##     10.45, 6.61, 8.14, 8.14, 8.55, 8.55, 8.88, 8.57, 11.49, 9.55, 
##     7.15, 13.36, 7.32, 11.53, 8.1, 10.35, 8.08, 12.11, 7.99, 
##     5.09, 10.59, 10.71, 6.69, 10.86, 9.45, 9.42, 10.89, 9.74, 
##     8.98, 8.64, 7.89, 8.12, 9.47, 9.9, 7.47, 8.24, 8.15, 8.79, 
##     8.99, 9.53, 7.79, 8.06, 8.55, 6.38, 7.83, 12.89, 6.42, 7.85, 
##     8.42, 7.67, 8.83, 10.41, 9.65, 10.52, 9.23, 10.86, 8.29, 
##     9.74, 8.45, 8.59, 9.42, 8.46, 9.04, 5.82, 10.47, 12.58, 8.93, 
##     7.68, 8.78, 7.53, 6.65, 6.89, 11.17, 9.57, 10.66, 8.86, 12.23, 
##     9.8, 10.33, 6.06, 9.74, 6.22, 10.67, 8.25, 10.81, 10.06, 
##     11.62, 8.37, 10.33, 7.6, 8.48, 7.86, 6.82, 11.31, 8.61, 7.52, 
##     9.41, 6.44, 8.88, 10.8, 8.41, 9.84, 10.76, 13.37, 10.92, 
##     7.66, 9.48, 8.2, 4.86, 8.44, 9.31, 9.21, 10.46, 10.62, 10.94, 
##     8.47, 8.54, 10.65, 10.81, 8.69, 6.69, 8.99, 8.12, 5.72, 7.88, 
##     7.3, 8.57, 10.52, 10.03, 9.86, 10.25, 3.29, 9.4, 7.81, 9.32, 
##     4.59, 8.27, 10.61, 11.88, 10.19, 4.34, 8.19, 9.78, 10.83, 
##     8.28, 11.48, 6.39, 8.77, 7.19, 10.02, 8.51, 9.2, 8.55, 10.02, 
##     8.19, 9.23, 9.63, 11.26, 6.56, 10.78, 13.69, 11.71, 5.12, 
##     10.26, 6.26, 9.65, 13.41, 6.74, 7.25, 9.01, 7.56, 8.55, 11.03, 
##     7.57, 10.26, 5.11, 6.66, 11.34, 10.25, 11.8, 8.57, 8.69, 
##     10.98, 8.19, 9.93, 9.17, 12.73, 9.23, 9.66, 7.86, 12.3, 4.96, 
##     11.66, 10.9, 6, 7.46, 9.36, 11.12, 10.37, 8.87, 11.46, 8.7, 
##     8.59, 8.39, 6.55, 10.64, 7.14, 7.38, 9.9, 10.6, 9.41, 8.78, 
##     10.04, 4.86, 13.91, 8.69, 10.7, 8.89, 7.78, 9.32, 8.87, 6.08, 
##     8.86, 7.74, 11.52, 8.36, 7.87, 13.05, 9.39, 10.22, 12.83, 
##     8.2, 9, 10.18, 10.25, 8.36, 8.61, 3.97, 7.46, 10.39, 9.28, 
##     6.89, 10.35, 6.72, 6, 6.94, 8.87, 7.23, 9.15, 4.74, 8.89, 
##     10.22, 9.03, 11.88, 7.56, 9.12, 7.84, 4.61, 9.29, 10.99, 
##     9.62, 10.99, 11.06, 11.12, 14.82, 8.15, 8.3, 7.85, 7.72, 
##     6.4, 6.82, 7.95, 9.67, 9.07, 8.4, 2.89, 5.51, 6.94, 13.5, 
##     8.17, 6.44, 7, 8.67, 12.23, 9.37, 9.88, 10.46, 11.31, 7.05, 
##     10.66, 13.32, 6.62, 6.97, 8.3, 6.77, 12.06, 8.77, 7.43, 9.98, 
##     9.9, 6.52, 10.59, 12.77, 8.52, 7.68, 10.46, 9.26, 8.46, 11.88, 
##     4.65, 7.44, 8.13, 11.89, 11.51, 12.61, 6.08, 13.78, 2.96, 
##     9.71, 8.01, 10.53, 10.29, 5.8, 10.32, 9.69, 5.35, 14.02, 
##     9.91, 11.45, 12.11, 9.02, 7.34, 6.8, 7.05, 9.63, 9.57, 9.57, 
##     6.78, 8.03, 8.15, 8.9, 12.24, 9.27, 6.83, 10.75, 11.74, 10.33, 
##     8.47, 9.02, 10.94, 7.22, 5.83, 7.44, 8.29, 6.95, 9.28, 9.77, 
##     5.99, 8.71, 8.64, 8.57, 9.79, 11.9, 8.35, 11.46, 7.55, 8.9, 
##     7.64, 6.8, 12.46, 13.21, 9.32, 10.13, 5.18, 7.25, 10.23, 
##     11.43, 8.94, 11.43, 7.14, 8.35, 8.97, 9.62, 6.21, 8.11, 8.93, 
##     8.16, 5.84, 10.52, 10.6, 12.32, 10.69, 7.32, 6.04, 7.3, 7.42, 
##     11.48, 7.58, 6.4, 11.29, 10.71, 10.93, 5.73, 9.45, 7.62, 
##     7.98, 8.98, 8.9, 5.37, 8.74, 13.98, 11.04, 9.06, 8.73, 13, 
##     6.12, 10.74, 9.06, 6.67, 9.24, 9.45, 8.59, 8.86, 10.65, 9.55, 
##     8.74, 12.16, 6.79, 6.12, 6.97, 7.43, 11.22, 6.93, 13.1, 7.79, 
##     16.2, 8.38, 11.94, 7.89, 10.63, 8.96, 6.95, 8.05, 12.61, 
##     9.55, 10.43, 10.59, 7.39, 8.28, 6.29, 8.54, 6.9, 11.01, 5.72, 
##     6.79, 10.17, 5.21, 9.54, 10.49, 7.13, 11.01, 8.32, 4.72, 
##     10.17, 7.66, 6.87, 7.22, 11.89, 8.9, 9.77, 8.71, 6.12, 6.92, 
##     9.71, 9.5, 9.63, 5.3, 6.08, 4.34, 6.99, 10.86, 8.02, 6.83, 
##     9.76, 10.19, 9.5, 6.14, 7.34, 11.4, 8.38, 9.11, 11.9, 8.46, 
##     10.56, 9.14, 6.04, 6.59, 10.97, 11.79, 6.39, 8.66, 7.5, 11.23, 
##     10.62, 12.37, 9.1, 10.9, 7.66, 7.64, 8.91, 5.58, 6.19, 8.06, 
##     8.35, 12.52, 10.48, 7.37, 4.19, 10.14, 6.03, 5.92, 8.26, 
##     12.57, 8.06, 8.74, 6.3, 8.53, 8.1, 11.5, 10.26, 13.69, 11.33, 
##     6.62, 4.94, 8.28, 7.78, 7.34, 6.01, 9.7, 11.69, 10.5, 9.83, 
##     8.17, 11.92, 7.38, 8.64, 10.07, 9.52, 9.83, 7.82, 7.67, 6.11, 
##     9.09, 8.55, 6.41, 13.05, 9.04, 5.97, 4.44, 7.67, 13.12, 10.39, 
##     9.49, 11.45, 7.52, 7.36, 8.46, 9.45, 6.26, 6.59, 11.08, 12.65, 
##     9.47, 13.83, 6.97, 12.66, 4.83, 11.45, 10.77, 10.85, 9.08, 
##     8.59, 10.15, 8.5, 8.38, 10.4, 4.55, 11.88, 10.83, 5.2, 6.58, 
##     7.72, 10.77, 9.65, 9.99, 7.24, 14.95, 8.36, 10.49, 12.2, 
##     6.47, 4.75, 8.3, 5.91, 9.53, 5.44, 6.89, 6.19, 8.81, 11.32, 
##     6.08, 8.47, 8.95, 9.79, 8.57, 10.04, 12.39, 4.95, 12.22, 
##     8.64, 9.81, 15.71, 8.78, 10.44, 6.31, 5.23, 9.19, 8.59, 10.05, 
##     9.31, 10.33, 7.49, 10.98, 7.76, 8.7, 11.08, 9.97, 7.34, 9.14, 
##     14.25, 8.21, 8.31, 10.05, 13.7, 9.09, 5.56, 13.33, 10.27, 
##     5.75, 9.83, 10.8, 10.92, 12.16, 10.23, 11.24, 10.88, 8.76, 
##     4.68, 12.04, 14.67, 10.49, 8.2, 6.87, 11.07, 8.09, 9.23, 
##     9.83, 8.67, 6.8, 6.62, 8.38, 5.71, 4.27, 1.97, 10.07, 11.05, 
##     8.74, 11.97, 14.31, 14.65, 9.87, 7.41, 11.22, 6.33, 6.23, 
##     6.3, 5.41, 9.96, 10.38, 9.97, 11.21, 8.27, 5.27, 5.68, 7.39, 
##     12.29, 9.66, 10.52, 12.14, 10.16, 8.93, 7.39, 11.88, 9.54, 
##     8.5, 8.85, 9.4, 9.29, 11.34, 10.23, 6.67, 7.42, 10.29, 10.95, 
##     6.27, 6.87, 6.81, 4.71, 12.11, 11.77, 11.62, 7.79, 8.66, 
##     13.8, 8.77, 10.85, 8.07, 7.48, 6.8, 4.77, 6.95, 7.49, 9.6, 
##     13.37, 9.91, 10.67, 10.8, 7.11, 5.05, 10.03, 10.01, 8.51, 
##     6.51, 13.63, 10.86, 8.82, 12.15, 10.27, 8.43, 9.41, 5.88, 
##     9.16, 8.15, 12.84, 14.31, 5.21, 6.91, 7.46, 11.16, 9.64, 
##     7.66, 15.97, 10.63, 6.64, 12.06, 9.55, 10.9, 8.74, 6.24, 
##     10.8, 6.85, 9.98, 10.71, 6.35, 10.09, 8.99, 10.8, 6.98, 10.76, 
##     9.17, 4.3, 12.61, 4.63, 7.1, 7.54, 13.1, 7.53, 7.17, 7.69, 
##     10.02, 8.14, 8.07, 9.08, 9.49, 9.63, 8.88, 8.96, 6, 9.22, 
##     8.79, 5.5, 7.14, 10.22, 10.22, 4.93, 14.12, 11.76, 2.1, 7.48, 
##     7.92, 10.99, 9.62, 8.82, 7.45, 7.73, 10.73, 10.97, 8.52, 
##     12.61, 7.47, 8.67, 9.54, 4.59, 12.95, 11.25, 4.47, 13.78, 
##     5.47, 9.32, 11.51, 14.06, 10.4, 10.98, 10.21, 7.69, 9.9, 
##     5.04, 11.37, 8.87, 11.39, 8.11, 8.1, 12.48, 7.46, 12.67, 
##     6.2, 11.99, 12.68, 8.74, 11.11, 8.47, 11.89, 8.96, 10.7, 
##     8.74, 7.92, 13.63, 11.02, 9.16, 9.54, 9.72, 8.06, 5.48, 8.72, 
##     7.62, 9.16, 10.4, 12.89, 10.94, 8.2, 7, 6.75, 11.51, 7.62, 
##     5.54, 11.02, 8, 11.25, 10.82, 8.92, 7.4, 7.9, 6.48, 9.53, 
##     9.77, 10.11, 9.52, 4.95, 10.18, 9.04, 5.14, 3.7, 7.56, 5.54, 
##     9.48, 10.14, 9.85, 6.39, 9.87, 5.05, 8.8, 5.92, 10.35, 7.21, 
##     11.63, 5.81, 10.13, 7.62, 10.95, 6.91, 7.92, 10.03, 7.6, 
##     11.88, 7.5, 9.02, 8.76, 7.84, 7.51, 8.51, 11.78, 5.96, 10.61, 
##     9.76, 6.88, 10.49, 5.82, 11.46, 8.3, 12.73, 9.89, 6.03, 6.58, 
##     10.11, 9.89, 7.85, 7.92, 10.66, 10.85, 12.07, 12.22, 15.06, 
##     8.63, 14.46, 10.8, 9.85, 9.63, 9.61, 14.56, 10.28, 9.64, 
##     8.67, 11.13, 9.04, 13.18, 4.51, 11.01, 10.26, 9.99, 6.72, 
##     11.43, 8, 7.56, 6.37, 8.5, 9.18, 9.56, 11.91, 8.61, 6.6, 
##     6.96, 10.27, 10.58, 15.56, 7.15, 9.66, 4.42, 10.11, 8.33, 
##     9.91, 14.97, 13.3, 11.88, 8.83, 10.62, 9.97, 8.15, 7.29, 
##     11.26, 5.51, 7.65, 11.27, 4.51, 10.96, 7.68, 12.27, 8.68, 
##     11.06, 8.47, 5.81, 11.85, 6.98, 6.83, 5.81, 9.99, 8.3, 7.33, 
##     7.59, 8.47, 9.71, 9.64, 11.05, 8.5, 10.4, 11.77, 8.73, 9.76, 
##     9.44, 10.42, 5.72, 7.6, 4.29, 11.17, 9.61, 7.64, 8.69, 8.79, 
##     9.66, 11.83, 4.9, 7.94, 11.21, 9.51, 10.91, 12.8, 7.83, 10.22, 
##     11.01, 9.98, 10.05, 5.81, 10.12, 9.87, 11, 8.47, 9.53, 11.02, 
##     6.34, 7, 6.68, 6.97, 11.28, 10.13, 12.08, 3.67, 5.06, 7.95, 
##     10.11, 7.29, 12, 7.62, 7.69, 7.47, 7.98, 7.65, 9.1, 5.96, 
##     12.65, 10.78, 9.49, 5.85, 6.06, 11.73, 8.76, 7.25, 9.64, 
##     9.62, 10.04, 7.66, 6.51, 8.54, 13.12, 14.3, 8.82, 10.01, 
##     7.18, 7.72, 11.15, 9.97, 8.32, 12.42, 7.89, 11.45, 13.99, 
##     11.61, 8.28, 9.05, 13.87, 9.25, 6.6, 4.67, 9.39, 8.55, 7.57, 
##     14.09, 7.62, 10.64, 10.26, 8.4, 9.32, 9.45, 12.35, 8.46, 
##     8.72, 7.05, 15.12, 9.88, 6.32, 12.95, 10.22, 9.26, 9.11, 
##     8.09, 9.14, 2.76, 9.17, 9.16, 10.93, 6.64, 6.71, 6.21, 10.98, 
##     8.08, 12.29, 10.85, 10.84, 9.31, 10.35, 7.69, 10.8, 9.4, 
##     7.22, 7.97, 9.91, 5.89, 9.98, 9.17, 5.85, 4.93, 6.47, 9.16, 
##     7.03, 9.65, 8.39, 8.26, 10.78, 9.74, 12.09, 7.09, 7.94, 4.74, 
##     10.88, 3.32, 7.14, 11.62, 10.27, 10.78, 9.54, 9.76, 11.34, 
##     7.93, 6.94, 4.71, 9.54, 8.37, 5.9, 9.65, 9.55, 5.08, 6.6, 
##     10.7, 9.45, 9.48, 8.69, 6.93, 9.36, 10.39, 11.61, 10.79, 
##     6.79, 14.03, 12.59, 12.26, 7.7, 4.7, 9.64, 11.57, 12.28, 
##     4.59, 7.07, 2.25, 9.09, 11.31, 13.1, 6.9, 9.81, 7.64, 8.91, 
##     12.29, 8.76, 11.58, 10.87, 8.54, 7.59, 9.66, 7.11, 9.81, 
##     10.93, 7.57, 10.14, 7, 6.79, 5.17, 11.29, 7.15, 9.18, 11.08, 
##     6.89, 5.48, 10.94, 9.01, 7.25, 8.41, 8.91, 11.74, 11.3, 8.88, 
##     8.31, 3.78, 11.82, 10.2, 12.07, 10.18, 8.5, 9.9, 9.53, 13.05, 
##     10.28, 9.64, 10.59, 7.35, 6.76, 10.34, 13.25, 7.04, 10.36, 
##     10.16, 9.71, 6.23, 4.78, 8.41, 9.14, 6.95, 11.88, 10.99, 
##     10.96, 9.27, 11.08, 8.68, 13.22, 12.62, 8.29, 6.78, 10.83, 
##     6.38, 9.01, 7.52, 17.17, 6.01, 9.71, 8.97, 8.72, 6.01, 9.2, 
##     8.8, 13.93, 7.98, 5.36, 5.27, 8.67, 12.95, 10.63, 8.09, 8.12, 
##     5.75, 8.82, 9.1, 7.47, 6.51, 9.25, 9.37, 11.15, 10.57, 10.55, 
##     10.95, 9.66, 9.18, 9.08, 7.54, 6.12, 5.48, 9.14, 7.56, 9.23, 
##     10.58, 15.74, 8.83, 6.39, 2.4, 6.38, 6.11, 7.05, 7.79, 8.98, 
##     11.18, 9.7, 7.92, 9.57, 6.12, 10.15, 10.16, 12.89, 6.47, 
##     10.26, 10.54, 7.92, 8.28, 10.68, 10.49, 7.96, 4.58, 13.42, 
##     12.51, 9.31, 15.01, 7.92, 11.83, 11.97, 4.59, 5.03, 3.18, 
##     6.61, 9.33, 5.85, 9.66, 7.26, 7.21, 7.73, 12.35, 5.26, 8.72, 
##     5.9, 5.87, 8.13, 10.11, 5.81, 9.88, 9.64, 8.6, 9.38, 10.11, 
##     11.83, 2.03, 7.92, 13.82, 11.71, 8.91, 10.98, 9.56, 9.29, 
##     7.41, 7.03, 8.45, 11.55, 7.46, 6.52, 9.57, 6.2, 7.64, 10.35, 
##     8.73, 13.94, 13.12, 4.9, 9.85, 9.2, 6.12, 4.02, 12.09, 12.6, 
##     8.45, 13.47, 9.46, 10.79, 8.95, 6.75, 6.65, 7.66, 11.81, 
##     11.21, 9.67, 8.73, 9.05, 12.46, 4.24, 6.41, 11.77, 8.14, 
##     8.05, 10.38, 7.53, 10.23, 13.47, 9.58, 8.34, 7.15, 9.64, 
##     8.7, 6.18, 9.16, 5.25, 10.24, 13.57, 2.13, 8.18, 10.19, 8.1, 
##     14.02, 10.72, 9, 14.1, 12.21, 7.05, 5.03, 5.36, 8.17, 10.58, 
##     10.35, 14.31, 9.28, 9.27, 8.93, 10.06, 10.12, 9.38, 10.23, 
##     7.86, 10.3, 6.81, 8.54, 7.13, 7.07, 10.06, 11.09, 7.06, 8.39, 
##     9.61, 6.05, 8.19, 9.89, 8.78, 9.66, 5.6, 11.28, 4.23, 9.63, 
##     7.08, 10.65, 5.39, 8.64, 10.31, 13.11, 9.18, 8.22, 12.45, 
##     7.93, 13.37, 7.33, 8.84, 6.35, 12.5, 7.92, 8.76, 9.33, 10.93, 
##     8.38, 10.49, 11.9, 10.73, 8.15, 11.04, 6.66, 12.85, 4.93, 
##     7.15, 9.76, 9.08, 7.83, 13.53, 12.7, 9.48, 14.43, 10.69, 
##     8.65, 9.07, 7.35, 9.79, 7.38, 17.77, 5.32, 7.83, 12.56, 9.06, 
##     10.66, 8.95, 13.69, 7.4, 10.44, 10.68, 8.24, 11.12, 7.81, 
##     10.87, 6.03, 7.94, 9.28, 9.75, 6.23, 8.7, 8.92, 8.88, 10.25, 
##     8.61, 10.47, 8.1, 10.89, 10.33, 8.62, 10.27, 9.21, 8.55, 
##     8.49, 8.63, 11.55, 9.52, 7.59, 7.81, 12.88, 9.57, 9.3, 13.49, 
##     9.48, 8.2, 7.69, 11.51, 11.67, 9.71, 7.43, 9.48, 7.44, 9.39, 
##     11.06, 11.37, 8.33, 9.96, 11.46, 10.46, 9.95, 11.34, 7.73, 
##     7.71, 8.02, 11.03, 10.49, 11.28, 7.84, 8.04, 10.36, 8.29, 
##     7.8, 12.19, 10.4, 9.9, 8.05, 12.12, 8.89, 9.27, 6.89, 9.23, 
##     7.89, 10.79, 6.97, 9.51, 10.04, 9.18, 8.3, 7.78, 8.37, 10.35, 
##     8.27, 6.93, 9.4, 10.01, 4.32, 7.24, 9.4, 10.65, 10, 10.19, 
##     7.87, 3.44, 5.76, 11.92, 8.64, 8.81, 4.55, 11.17, 5.65, 7.34, 
##     9.6, 9.14, 11.07, 7.36, 8.74, 9.23, 11.46, 10.57, 9.01, 10.15, 
##     10.08, 11.38, 6.32, 8.01, 8.57, 11.51, 7.04, 10.87, 12.96, 
##     9.36, 9.62, 10.36, 12.23, 9.63, 9.84, 9.67, 7.9, 5.42, 3.51, 
##     9.35, 8.51, 5.68, 4.57, 9.11, 9.62, 9.9, 12.49, 6.13, 10.21, 
##     11.68, 9.1, 5.71, 8.38, 8.8, 8.75, 8.04, 5.96, 9.23, 11.09, 
##     7.23, 9.56, 4.7, 9.82, 10.19, 8.02, 11.07, 10.24, 10.96, 
##     10.94, 8.1, 4.03, 10.43, 6.69, 9.09, 7.11, 11.25, 7.78, 8.26, 
##     7.27, 7.73, 6.92, 7.62, 10.26, 7.97, 11.95, 10.06, 10.68, 
##     7.77, 8.92, 8.71, 8.68, 4.54, 10.72, 7.05, 11.03, 6.99, 14.5, 
##     8.57, 8.53, 3.44, 9.81, 6.69, 7.51, 10.11, 7.57, 7.31, 9.69, 
##     8.73, 8.85, 8.47, 11.53, 8.23, 9.23, 9.27, 8.25, 7.78, 9.59, 
##     8.39, 8.01, 8.7, 5.68, 9.18, 7.68, 8.76, 9.22, 2.59, 8.37, 
##     14.5, 10.15, 11.47, 8.25, 7.89, 10.49, 6.27, 8.98, 11.53, 
##     9.36, 7.35, 7.07, 10.93, 10.46, 8.93, 11.7, 12.17, 12.64, 
##     8.71, 7.18, 6.02, 9.29, 14.08, 9.36, 14.73, 5.13, 6.58, 8.34, 
##     13.49, 5.36, 11.19, 8.55, 10.56, 5, 11.3, 3.48, 8.15, 9.2, 
##     3.38, 10.79, 11.4, 9.32, 6, 12.43, 8.67, 11.31, 6.63, 8.08, 
##     6.42, 11.03, 11.34, 8.2, 11.03, 7.58, 13.02, 8.63, 9.14, 
##     7.2, 6.24, 13.97, 2.68, 10.75, 8.76, 9, 5.54, 6.72, 4.97, 
##     10.36, 6.89, 4.98, 7.63, 9.55, 8.17, 5.5, 9.7, 11.81, 4.59, 
##     8.88, 11.88, 6.2, 10.41, 11.5, 10.68, 9.85, 7.85, 5.29, 12.81, 
##     8.79, 7.5, 6.61, 8.02, 10.08, 6.61, 5.97, 5.77, 10.48, 6.72, 
##     5.77, 9.74, 10.61, 9.91, 9.93, 9.46, 10.75, 7.31, 11.36, 
##     8.97, 12.83, 7.33, 12.24, 8.15, 3.59, 5.32, 7.29, 10.99, 
##     8.38, 7.73, 10.57, 5.36, 10.87, 9.15, 12.33, 7.72, 10.26, 
##     5.42, 7.74, 10.11, 6.16, 7.55, 11.31, 7.88, 10.26, 8.77, 
##     6.31, 6.88, 7.95, 5.42, 12.19, 10.86, 11.18, 8.31, 7.15, 
##     12.04, 6.5, 8.48, 8.95, 7.6, 9.26, 10.02, 9.56, 5.01, 7.67, 
##     6.84, 3.47, 8.47, 7.42, 7.55, 10.9, 6.69, 8.71, 9.4, 9.4, 
##     11.48, 9.6, 9.94, 8, 5.44, 12.09, 9.2, 6.86, 11.76, 9.58, 
##     3.99, 8.21, 12.55, 7.12, 11.13, 8.6, 9.5, 9.07, 9.06, 5.76, 
##     7.69, 12.13, 5.01, 9.54, 6.59, 5.18, 13.01, 7.63, 9.14, 7.76, 
##     12.94, 10.51, 3.86, 6.63, 10.23, 7.75, 11.7, 11.78, 9.27, 
##     10.15, 9.98, 10.64, 10.57, 8.82, 6.35, 6.83, 4.9, 7.76, 9.09, 
##     10.76, 12.24, 10.06, 8.61, 8.55, 8.42, 9.2, 9.48, 10.32, 
##     9.38, 2.86, 11.45, 11.72, 10.17, 8.5, 7.15, 9.63, 12.71, 
##     10.35, 8.81, 11.08, 7.54, 7.31, 11.73, 7.6, 9.39, 8.51, 8.21, 
##     8.01, 9.64, 7.69, 11.47, 9.65, 5.7, 11.66, 6.39, 9.26, 8.13, 
##     8.87, 9.45, 13.59, 6.66, 13.23, 11.42, 9.55, 13.8, 12.23, 
##     8.68, 9.8, 8.13, 6.09, 9.04, 11.85, 7.92, 10.08, 13.2, 8.91, 
##     7.8, 8.2, 7.49, 11.55, 7.88, 7.15, 7.07, 3.05, 13.78, 7.63, 
##     14.13, 6.91, 6.95, 9.69, 11.2, 7.7, 7.32, 8.05, 8.78, 8.15, 
##     9.48, 7.01, 11.47, 9.23, 7.09, 5.52, 13.9, 3.57, 10.76, 13.42, 
##     9.98, 4.86, 7.97, 10.28, 7.31, 9.47, 5.57, 10.59, 9.45, 7.34, 
##     3.7, 10.04, 10.8, 4.64, 7.26, 8.06, 4.34, 8.47, 7.55, 8.39, 
##     8.77, 11.85, 11.12, 9.02, 7.45, 3.94, 7.17, 8.79, 5.83, 7.4, 
##     6.89, 8.8, 11.35, 9.33, 9.36, 8.15, 5.8, 8.57, 10.81, 7.6, 
##     5.77, 10.58, 9.74, 11.17, 9.27, 11.43, 5.86, 4.04, 9.51, 
##     5.89, 7.53, 5.81, 11.97, 4.84, 10.3, 9.15, 11.32, 8.67, 5.23, 
##     11.01, 5.73, 7.9, 6.5, 9.69, 9.36, 9.88, 10.22, 10.34, 7.5, 
##     4.49, 11.51, 8.57, 12.15, 10.78, 10.63, 10.26, 7.98, 7.36, 
##     5.32, 8.65, 4.58, 7.1, 6.62, 11.74, 10.8, 5.24, 8.21, 7.5, 
##     13.39, 11.48, 4.41, 8.14, 8.76, 8.73, 9.32, 9.83, 7.77, 7.15, 
##     12.01, 9.45, 6.74, 5.27, 10.79, 6.71, 9.43, 6.36, 8.98, 8.48, 
##     12.1, 8.08, 9.76, 8.34, 5.44, 13.5, 12.65, 6.34, 12.02, 5.73, 
##     7.3, 11.55, 9.99, 8.47, 5.41, 13, 9.75, 6.63, 10.73, 8.59, 
##     5.31, 7.86, 10.42, 6.46, 8.51, 9.76, 10.73, 5.35, 11.11, 
##     13.03, 7.83, 6.96, 10.32, 15.98, 6.98, 8.41, 8.07, 6.41, 
##     3.2, 9.09, 6.7, 6.23, 8.23, 11.25, 8.86, 6.91, 9.03, 8.18, 
##     11.61, 10.24, 7.78, 11.43, 9.9, 10.83, 4.9, 7.76, 8.52, 8.53, 
##     11.68, 3.44, 11.02, 5.48, 10.52, 7.76, 7.29, 7.34, 8.07, 
##     11.29, 11.9, 10.13, 12.71, 10.35, 15.85, 10.1, 7.99, 8.78, 
##     9.37, 9.48, 8.63, 8.61, 12.53, 13.6, 8.68, 8.96, 9.14, 9.61, 
##     10.96, 8.1, 10.88, 7.9, 10.31, 9.3, 8.46, 7.52, 11.16, 7.69, 
##     7.84, 8.66, 13.1, 6.26, 7.72, 10.26, 11.4, 8.56, 3.39, 6.96, 
##     8.78, 10.56, 9.33, 9.72, 9.91, 8.39, 8.49, 14.98, 9.51, 9.3, 
##     6.26, 10.74, 8.03, 6.19, 10.68, 9.18, 10.02, 14.08, 13.31, 
##     11.7, 9.85, 8.9, 8.71, 12.12, 5.4, 11.22, 9.78, 8.47, 10.09, 
##     10.26, 6.93, 9.88, 11.41, 9.14, 7.8, 11.32, 6.78, 9.54, 5.9, 
##     8.5, 13.32, 11.37, 8.24, 8.07, 8.83, 8.66, 8.66, 9.28, 10.05, 
##     8.34, 7.99, 13.27, 11.31, 9.92, 8.59, 13.74, 9.09, 5.45, 
##     9.22, 9.86, 10.39, 7.97, 9, 8.01, 12.61, 13.66, 7.17, 14, 
##     10.68, 9.77, 9.45, 6.45, 10.11, 11.76, 12.28, 8.4, 9.77, 
##     12.84, 8.13, 8.64, 10.81, 10.67, 8.65, 9.65, 6.48, 7.79, 
##     11.16, 5.88, 6.53, 10.29, 12.06, 7.06, 7.88, 10.57, 11.91, 
##     6.75, 6.15, 9.09, 5.38, 7.13, 7.54, 8.54, 12.04, 7.43, 3.78, 
##     4.55, 10.52, 13.88, 9.95, 10.13, 4.23, 8.15, 6.44, 10, 4.73, 
##     6.27, 10.81, 9.52, 5.88, 6.48, 10.49, 9.83, 6.74, 8.9, 10.84, 
##     7.83, 6.99, 9.1, 10.74, 7.65, 6.13, 10.81, 8.45, 9.19, 7, 
##     8.82, 9.93, 11.16, 7.91, 6.21, 10.92, 6.63, 13.66, 7.83, 
##     7.66, 9.58, 8.24, 7.03, 8.53, 9.83, 10.3, 8.25, 11.41, 7.48, 
##     12.47, 11.38, 9.74, 8.98, 7.14, 4.56, 11.62, 7.91, 9.58, 
##     8.73, 6.88, 9.65, 8.27, 10.88, 9.87, 6.32, 7.78, 7.62, 6.83, 
##     12.17, 9.75, 7.79, 11.03, 12.81, 12.36, 7.4, 6.81, 4.95, 
##     6.62, 11.69, 9.98, 9.04, 9.62, 8.07, 8.78, 10.13, 9.61, 4.7, 
##     8.44, 9.75, 11.61, 9.38, 8.59, 4.99, 9.63, 6.59, 8.63, 13.26, 
##     8.07, 9.09, 7.59, 6.51, 10.04, 11.12, 6.35, 9.18, 7.84, 12.22, 
##     11.11, 5.11, 8.56, 12.51, 7.33, 6.96, 6.86, 12.23, 9.65, 
##     8.61, 10.5, 8.06, 7.01, 5.01, 5.82, 10.33, 5.07, 12.76, 8.53, 
##     7.57, 11.4, 7.79, 8.21, 10.29, 8.83, 8.04, 11.12, 8.84, 10.76, 
##     10.85, 10.5, 15.76, 6.56, 9.28, 6.2, 8.73, 9.52, 10.82, 8.37, 
##     8.49, 9.55, 8.43, 7.19, 11.07, 6.76, 7.64, 7.41, 7.73, 5.91, 
##     8.29, 6.77, 10.62, 9.98, 8.33, 7.48, 10.32, 6.14, 10.6, 8.74, 
##     6.37, 9.71, 6.75, 7.42, 11.02, 7.57, 6.77, 9.6, 11.28, 7.5, 
##     9.89, 10.65, 12.15, 12.71, 9.21, 9.57, 8.02, 6.88, 4.86, 
##     8.9, 10.14, 10.68, 8.38, 6.89, 11.21, 11.49, 6, 6.85, 7.83, 
##     7.59, 5.41, 6.79, 6.84, 9.55, 9.28, 7.65, 12.08, 10.23, 8.88, 
##     9.58, 8.53, 9.05, 5.41, 8.72, 11.7, 12.73, 6.53, 10.28, 8.79, 
##     10.07, 9.29, 9.62, 9.65, 10.17, 9.05, 7.47, 7.66, 11.29, 
##     6.69, 8.38, 9.47, 13.02, 7.43, 11.54, 9.95, 10.95, 8.15, 
##     6.6, 8.99, 10.29, 9.37, 10.34, 9.86, 7.34, 9.66, 12.36, 7.32, 
##     6.21, 8.1, 6.27, 6.68, 7.76, 11.88, 8.81, 3.71, 11.19, 7.8, 
##     10.6, 5.52, 9.47, 5.49, 11.23, 6.41, 11.01, 11.54, 6.73, 
##     7.32, 10.25, 9.63, 5.98, 9.47, 14.48, 8.19, 12.8, 9.38, 5.98, 
##     8.2, 13.99, 6.39, 9.44, 6.89, 5.03, 4.49, 7.22, 11.42, 11.25, 
##     11.53, 9.05, 8.41, 10.95, 9.73, 5.04, 8.52, 9.17, 9.34, 6.07, 
##     6.42, 8.24, 9.56, 10.86, 8.58, 8.14, 14.28, 9.74, 8.19, 8.22, 
##     7.52, 8.61, 8.93, 11.67, 10.42, 7.33, 8.52, 6.97, 5.22, 11.52, 
##     12.11, 8.88, 9.63, 9.27, 11.66, 6.79, 10.04, 5.86, 10.12, 
##     8.11, 8.93, 8.44, 10.24, 8.49, 10.24, 7.35, 6.41, 12.59, 
##     9.33, 8.21, 4.27, 8.82, 11.49, 8.61, 10.2, 5.14, 9.47, 5.99, 
##     7.68, 11.82, 8.15, 11.04, 7.63, 9.57, 9.23, 9.78, 10.45, 
##     6.97, 7.47, 7.21, 10.25, 8.99, 6.12, 8.01, 11.12, 10.8, 7.88, 
##     11.86, 10.33, 9.21, 9.12, 12.56, 11.55, 6.15, 6.82, 9.43, 
##     6.44, 9.97, 6.93, 6.69, 5.92, 7.34, 7.19, 10.73, 8.46, 11.49, 
##     10.7, 10.65, 11.97, 11.85, 7.15, 11.03, 10.59, 9.95, 5.3, 
##     8.83, 12.7, 9.37, 5.98, 11.05, 9.69, 11.51, 6.88, 6.44, 8.86, 
##     10.91, 12.62, 7.98, 9.8, 9.15, 2.43, 7.22, 8.42, 9.89, 12.52, 
##     7.95, 9.94, 13.95, 8.58, 9.47, 9.08, 8.46, 7.15, 12.56, 12.27, 
##     8.82, 15.43, 9.37, 7.98, 7.62, 11.39, 6.56, 8.96, 7.39, 9.48, 
##     5.1, 10.13, 11.66, 10.5, 3.84, 9.76, 9.09, 6.13, 9.26, 10.25, 
##     4.04, 8.28, 9.23, 9.86, 7.48, 10.22, 5.67, 8.5, 10.87, 8.58, 
##     6.83, 7.22, 9.91, 9.42, 8.28, 9.17, 8.45, 12.66, 8.47, 10.94, 
##     7.8, 4.04, 7.41, 11.21, 5.46, 7.76, 10.16, 8.08, 8.03, 9.51, 
##     8.06, 8.48, 8.88, 14.81, 10.79, 7.38, 9.93, 13.07, 14.18, 
##     9.08, 6.85, 3.91, 9.15, 10.35, 9.4, 9.94, 13.29, 11.03, 6.58, 
##     7.45, 6.37, 8.62, 10.67, 10.67, 9.3, 7.16, 8.13, 5.55, 8.64, 
##     10.83, 12.3, 9.94, 8.34, 4.45, 11.72, 11.28, 9.04, 6.63, 
##     5.85, 12.93, 9.59, 8.83, 7.98, 8.41, 9.69, 6.85, 2.55, 11.7, 
##     10.56, 12.59, 11.38, 5.84, 9.39, 8.91, 9.12, 9.5, 10.11, 
##     12.04, 11.04, 10.35, 10.43, 9.79, 6.1, 7.55, 13.01, 9.25, 
##     7.2, 9.9, 10.11, 11.65, 7.19, 6.31, 11.69, 12.64, 8.73, 10.77, 
##     7.71, 9.4, 10.49, 11.51, 7.66, 10.36, 6.35, 10.33, 6.04, 
##     8.19, 2.25, 6.24, 5.71, 8.21, 11.79, 7.58, 7.64, 4.72, 7.4, 
##     7.65, 7.64, 12.55, 10.2, 12.11, 9.78, 5.67, 7.65, 7.85, 8.21, 
##     9.88, 7.19, 8.34, 9.47, 6.3, 8.34, 8.14, 6.58, 5.5, 8.28, 
##     13.25, 8.66, 9.63, 10.25, 11.74, 8.6, 11.96, 4.98, 7.54, 
##     5.85, 11.09, 11.73, 11.2, 7.81, 11.07, 12.57, 9.56, 6.96, 
##     8.38, 8.18, 10.69, 8.59, 4.21, 8.08, 8.18, 4.68, 11.17, 7.5, 
##     11.07, 9.99, 5.06, 8.91, 8.68, 5.94, 7.79, 7.93, 9.59, 6.4, 
##     9.97, 12.66, 7.64, 9.38, 7.69, 7.8, 8.32, 8.21, 10.58, 5.41, 
##     6.91, 10.31, 12.39, 4.42, 8.36, 9.76, 9.3, 10.28, 6.66, 16.99, 
##     8.76, 11.25, 12.61, 7.76, 8.76, 7.03, 9.43, 8.34, 8.26, 10.77, 
##     6.52, 8.13, 10.05, 6.48, 11.62, 9.43, 7.33, 9.72, 9.15, 8.46, 
##     8.86, 9.3, 6.53, 8.5, 6.94, 8.47, 8.8, 7.55, 9.65, 11.36, 
##     8.34, 7.6, 9.41, 12.02, 9.93, 7.78, 10.25, 8.83, 9.4, 10.95, 
##     6.17, 9.18, 9.35, 6.89, 7.25, 7.14, 7.31, 4.68, 6.61, 12.6, 
##     9.56, 7.6, 5.54, 10.31, 10.54, 7.17, 4.84, 10.29, 7.52, 9.48, 
##     10.92, 5.92, 11.65, 13.94, 7.41, 7.66, 7.5, 9.83, 7.06, 6.22, 
##     11.34, 9.57, 9.67, 9.79, 11.89, 3.02, 6.61, 10.42, 9.99, 
##     11.14, 10.28, 7.98, 11.24, 8.88, 10.26, 9.46, 11.17, 11.43, 
##     8.01, 10.8, 7.54, 13.1, 9.35, 5, 12.5, 9.71, 11.41, 12.07, 
##     7.51, 11.7, 11.14, 5.34, 12.24, 6.01, 10.96, 7.84, 8.15, 
##     8.67, 11.27, 8.63, 10.1, 11.48, 12.29, 9.44, 4.36, 10.85, 
##     9.72, 11.12, 11.69, 11.78, 8.29, 9.26, 8.31, 14.57, 10.76, 
##     10.22, 12.56, 9.66, 10.9, 8.86, 12.69, 8.54, 6.16, 7.26, 
##     8.9, 7, 11.7, 16.39, 6.87, 12.15, 4.93, 10.8, 9.46, 10.96, 
##     9.15, 11.62, 5.81, 6.9, 14.24, 7.46, 8.77, 8.2, 8.46, 13.05, 
##     9.26, 12.76, 8.13, 8.17, 7.88, 9.71, 11.09, 7.61, 5.78, 12.81, 
##     3.47, 9.62, 7.92, 7.77, 5.38, 8.18, 7.24, 7.77, 8.41, 7.73, 
##     7.59, 9.99, 10.53, 6.97, 10.01, 8.42, 6.72, 9.99, 10.18, 
##     11.35, 10.8, 12.63, 11.25, 7.79, 7.1, 11.46, 9.36, 13.05, 
##     7.05, 8.86, 6.84, 7.87, 10.49, 7.99, 8.83, 9.21, 6.88, 6.93, 
##     11.66, 6.86, 6.73, 9.51, 10.72, 12.02, 10.08, 8.86, 8.91, 
##     10.59, 7.94, 11.06, 10.81, 9.47, 7.51, 8.12, 6.73, 9.37, 
##     11.54, 11.82, 8.64, 7.23, 6.04, 8.26, 8.77, 9.28, 4.73, 6.56, 
##     11.48, 4.68, 7.95, 7.56, 10.75, 7.52, 12.64, 11.38, 10.36, 
##     5.7, 11.18, 9.4, 8.1, 9.65, 10.19, 10.83, 12.72, 6.43, 6.48, 
##     13.73, 11.84, 12.09, 7.62, 10.26, 9.58, 10.08, 8, 10.63, 
##     9.4, 7.43, 8.7, 6.59, 8.8, 7.28, 12.61, 9.7, 7.71, 11.77, 
##     7.35, 8.12, 11.49, 5.66, 11.53, 9.98, 10.98, 13.37, 8.06, 
##     11.98, 8.61, 10.66, 10.81, 8.08, 9.74, 10.01, 7.06, 9.18, 
##     8.04, 7.22, 9.7, 11.64, 6.57, 9.01, 12.24, 9.66, 8.74, 13.24, 
##     6.31, 7.65, 7.64, 8.32, 12.46, 13.13, 10.2, 5.98, 8.32, 8.09, 
##     11.82, 8.64, 8.08, 8.09, 11.37, 8.28, 4.61, 9.5, 10.48, 9.85, 
##     7.39, 5.32, 9.8, 7.2, 6.67, 10.85, 8.23, 12.19, 10.92, 8.42, 
##     7.03, 11.3, 7.53, 11.92, 9.58, 11, 9.68, 12.15, 7.84, 10.22, 
##     6.27, 6.66, 10.87, 6.3, 9.71, 7.97, 10.35, 7.14, 7.05, 8.78, 
##     5.62, 12.41, 11.85, 9.7, 9.61, 7.45, 8.2, 11.29, 5.03, 11.66, 
##     11.24, 7.92, 8.79, 9.83, 10.85, 10, 9.54, 8.2, 12.34, 9.96, 
##     8.98, 7.71, 12.14, 8.57, 11.88, 11.54, 12.84, 8.76, 8.76, 
##     11.5, 9.17, 5.8, 10.26, 3.78, 10.95, 5.15, 11.87, 5.91, 9.36, 
##     8, 8.88, 9.18, 13.45, 11.22, 9.59, 10.08, 9.3, 10.04, 11.14, 
##     11.25, 7.35, 6.59, 9.4, 7.82, 9.74, 6.22, 6.47, 6.8, 11.65, 
##     11.49, 6.09, 11.86, 10.39, 7.53, 8.89, 8.42, 10.13, 10.16, 
##     8.35, 11.14, 7.47, 7.94, 8.31, 10.15, 7.94, 10.62, 10.82, 
##     9.27, 10.31, 9.26, 12.04, 10.8, 9.73, 11.22, 11.39, 6.66, 
##     5.86, 8.82, 10.4, 8.71, 9.15, 9, 7.33, 8.57, 11.84, 10.93, 
##     6.95, 13.91, 9.05, 12.08, 8.05, 8.44, 8.11, 9.32, 10.29, 
##     8.72, 9.81, 5.57, 6.22, 9.66, 9.97, 11.39, 9.3, 7.82, 13.13, 
##     10.99, 11.69, 7.76, 13.26, 10.43, 8.3, 6.28, 11.53, 11.22, 
##     7.68, 8.64, 6.78, 6.24, 10.2, 9.29, 7.38, 8.22, 9.09, 10.14, 
##     8.36, 9.96, 9.55, 9.2, 8.79, 8.63, 7.88, 12.18, 4.02, 12.15, 
##     4.87, 8.19, 4.27, 8.28, 9.91, 6.13, 8.83, 11.94, 8.52, 10.4, 
##     8.49, 10.06, 7.75, 11.94, 10.54, 12.9, 9.05, 11.66, 9.46), 
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##     3, 2, 1, 1, 0, 1, 3, 1, 2, 4, 1, 0, 0, 1, 1, 1, 1, 3, 2, 
##     0, 2, 0, 2, 1, 0, 1, 1, 3, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 
##     1, 2, 0, 1, 2, 1, 2, 3, 1, 1, 1, 2, 2, 1, 0, 1, 4, 1, 1, 
##     1, 0, 3, 1, 1, 1, 5, 0, 1, 1, 3, 0, 0, 0, 1, 1, 2, 0, 1, 
##     2, 3, 4, 5, 0, 0, 1, 1, 3, 3, 1, 2, 3, 0, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 0, 3, 0, 2, 1, 0, 3, 2, 2, 4, 1, 4, 2, 1, 1, 
##     4, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 3, 3, 
##     4, 5, 3, 0, 0, 0, 1, 3, 2, 2, 2, 3, 5, 1, 6, 2, 2, 2, 3, 
##     0, 2, 2, 2, 2, 2, 3, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 
##     1, 1, 1, 5, 3, 2, 3, 1, 0, 2, 2, 1, 2, 0, 1, 2, 3, 1, 2, 
##     5, 0, 0, 1, 5, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 
##     1, 4, 3, 2, 4, 0, 3, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 4, 
##     0, 3, 3, 0, 1, 2, 1, 1, 0, 0, 1, 3, 2, 1, 3, 2, 1, 3, 0, 
##     3, 3, 2, 2, 1, 2, 1, 1, 2, 4, 1, 4, 3, 3, 1, 2, 1, 2, 3, 
##     1, 1, 4, 3, 1, 3, 1, 1, 1, 2, 3, 3, 1, 1, 1, 3, 2, 3, 2, 
##     2, 1, 0, 0, 3, 0, 4, 1, 2, 0, 1, 2, 1, 2, 1, 4, 1, 7, 1, 
##     0, 3, 2, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 
##     2, 3, 1, 1, 2, 0, 2, 0, 1, 1, 3, 3, 3, 2, 2, 3, 0, 0, 3, 
##     3, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 3, 1, 0, 0, 1, 
##     3, 1, 1, 2, 3, 2, 1, 0, 2, 3, 4, 0, 1, 3, 3, 2, 3, 1, 1, 
##     0, 0, 4, 1, 4, 1, 1, 0, 0, 4, 1, 3, 3, 1, 1, 2, 1, 1, 1, 
##     1, 3, 1, 1, 1, 2, 1, 1, 0, 6, 0, 2, 1, 1, 1, 1, 1, 1, 4, 
##     0, 3, 2, 1, 2, 2, 1, 2, 1, 1, 3, 1, 2, 1, 5, 1, 0, 3, 0, 
##     3, 1, 3, 1, 2, 2, 1, 3, 2, 1, 4, 3, 3, 6, 0, 2, 1, 1, 1, 
##     1, 2, 0, 1, 6, 2, 2, 3, 1, 1, 0, 0, 3, 2, 3, 1, 1, 0, 2, 
##     2, 0, 4, 1, 1, 1, 2, 2, 5, 1, 1, 1, 2, 3, 0, 2, 0, 3, 0, 
##     4, 3, 1, 2, 0, 3, 1, 5, 5, 6, 1, 1, 2, 1, 1, 1, 0, 3, 1, 
##     1, 1, 4, 2, 3, 1, 2, 1, 2, 2, 1, 2, 1, 1, 3, 4, 2, 5, 1, 
##     1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 3, 3, 2, 0, 2, 3, 
##     0, 2, 3, 0, 2, 5, 0, 0, 0, 1, 1, 2, 0, 2, 4, 2, 3, 0, 1, 
##     0, 2, 2, 1, 1, 0, 1, 3, 6, 5, 1, 0, 2, 5, 1, 1, 1, 1, 5, 
##     0, 2, 2, 1, 4, 3, 2, 0, 0, 5, 1, 2, 4, 1, 4, 5, 0, 1, 0, 
##     1, 0, 4, 1, 2, 2, 0, 0, 4, 1, 2, 1, 1, 5, 1, 4, 1, 3, 5, 
##     1, 0, 1, 0, 2, 1, 1, 1, 3, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 
##     1, 2, 2, 1, 1, 0, 1, 3, 2, 3, 4, 2, 5, 4, 2, 0, 3, 1, 0, 
##     0, 1, 2, 0, 4, 1, 1, 0, 5, 0, 2, 3, 1, 0, 2, 1, 0, 1, 2, 
##     1, 2, 0, 0, 3, 1, 0, 3, 1, 1, 0, 1, 1, 3, 1, 0, 4, 3, 3, 
##     3, 3, 1, 0, 1, 3, 6, 1, 3, 2, 0, 1, 1, 2, 2, 1, 3, 0, 1, 
##     1, 1, 2, 1, 2, 0, 6, 0, 0, 3, 0, 2, 2, 0, 1, 1, 1, 1, 1, 
##     2, 2, 1, 2, 1, 3, 3, 5, 1, 3, 1, 3, 7, 0, 1, 2, 2, 1, 5, 
##     1, 0, 3, 0, 2, 0, 2, 2, 2, 3, 4, 1, 2, 0, 1, 3, 1, 0, 1, 
##     0, 3, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 7, 3, 0, 2, 1, 2, 
##     0, 7, 0, 1, 0, 0, 2, 2, 3, 3, 1, 2, 5, 1, 1, 6, 3, 1, 3, 
##     3, 3, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 1, 5, 3, 2, 3, 1, 
##     1, 0, 0, 0, 2, 0, 0, 3, 2, 1, 0, 1, 2, 3, 4, 3, 1, 0, 2, 
##     0, 3, 2, 1, 2, 1, 3, 1, 0, 0, 1, 0, 1, 1, 0, 3, 2, 3, 0, 
##     1, 0, 4, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 
##     0, 1, 2, 1, 3, 3, 0, 4, 0, 2, 2, 3, 1, 3, 2, 2, 0, 1, 0, 
##     2, 3, 1, 0, 2, 4, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 4, 
##     1, 2, 1, 0, 1, 1, 0, 3, 3, 2, 1, 2, 1, 2, 1, 6, 2, 2, 3, 
##     1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 3, 0, 1, 0, 3, 2, 
##     1, 4, 3, 2, 0, 2, 2, 1, 4, 3, 3, 0, 1, 1, 1, 4, 1, 2, 3, 
##     1, 1, 2, 1, 1, 1, 6, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 3, 0, 
##     1, 3, 2, 3, 2, 1, 1, 1, 3, 1, 0, 2, 0, 1, 3, 1, 2, 0, 1, 
##     2, 2, 2, 2, 3, 1, 2, 1, 5, 0, 3, 0, 4, 4, 1, 1, 2, 1, 0, 
##     3, 4, 1, 1, 1, 0, 2, 0, 3, 0, 1, 3, 0, 1, 0, 2, 1, 2, 2, 
##     0, 1, 2, 1, 4, 2, 1, 1, 1, 4, 0, 3, 1, 1, 2, 1, 0, 2, 1, 
##     4, 1, 2, 1, 4, 1, 0, 2, 2, 3, 1, 1, 0, 1, 1, 5, 1, 1, 1, 
##     3, 2, 0, 1, 2, 1, 1, 0, 3, 1, 0, 1, 2, 2, 0, 3, 2, 1, 2, 
##     2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 3, 0, 0, 0, 2, 2, 2, 2, 
##     1, 0, 1, 4, 0, 3, 2, 3, 1, 2, 2, 4, 2, 3, 2, 1, 1, 1, 1, 
##     3, 2, 1, 2, 2, 3, 2, 1, 3, 3, 0, 3, 1, 1, 4, 4, 1, 2, 2, 
##     5, 3, 2, 0, 2, 2, 1, 2, 0, 1, 7, 2, 1, 2, 6, 1, 2, 4, 3, 
##     0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 3, 0, 1, 1, 3, 2, 1, 1, 
##     1, 0, 0, 3, 1, 2, 2, 0, 1, 0, 0, 4, 2, 2, 2, 2, 1, 1, 3, 
##     0, 1, 2, 3, 1, 1, 1, 0, 0, 1, 0, 3, 1, 2, 1, 1, 3, 0, 4, 
##     1, 2, 1, 2, 3, 1, 5, 3, 2, 2, 1, 3, 1, 1, 3, 0, 2, 2, 0, 
##     0, 1, 2, 3, 1, 2, 1, 0, 3, 1, 2, 3, 2, 2, 1, 2, 4, 1, 2, 
##     2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 4, 4, 0, 1, 1, 
##     0, 1, 2, 1, 1, 3, 4, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 
##     1, 1, 0, 1, 3, 2, 4, 0, 1, 3, 1, 1, 3, 0, 2, 2, 1, 2, 1, 
##     1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 3, 4, 3, 3, 0, 1, 
##     4, 3, 4, 2, 2, 1, 3, 1, 0, 1, 3, 4, 2, 3, 3, 1, 3, 2, 2, 
##     2, 1, 1, 0, 2, 0, 5, 3, 0, 3, 4, 1, 2, 0, 3, 4, 2, 0, 1, 
##     2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 
##     2, 2, 2, 3, 1, 4, 2, 3, 3, 3, 1, 3, 0, 1, 0, 0, 0, 3, 0, 
##     3, 0, 2, 0, 4, 1, 4, 0, 2, 0, 0, 2, 2, 0, 2, 4, 2, 1, 3, 
##     3, 2, 1, 2, 3, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 0, 1, 3, 
##     7, 4, 3, 4, 1, 1, 2, 3, 0, 0, 0, 1, 2, 2, 5, 1, 1, 2, 3, 
##     1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 2, 1, 1, 4, 1, 0, 3, 
##     1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 4, 0, 0, 
##     1, 1, 1, 1, 4, 0, 1, 0, 0, 5, 2, 2, 2, 0, 0, 0, 2, 3, 0, 
##     2, 2, 0, 1, 1, 5, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 
##     1, 1, 0, 2, 1, 0, 1, 1, 3, 2, 3, 2, 2, 1, 1, 1, 2, 0, 2, 
##     1, 0, 1, 2, 5, 2, 0, 1, 1, 1, 3, 0, 5, 2, 0, 3, 1, 2, 4, 
##     1, 3, 3, 2, 2, 1, 2, 2, 4, 0, 4, 2, 0, 1, 0, 3, 1, 1, 1, 
##     3, 1, 1, 0, 0, 1, 1, 2, 1, 5, 1, 0, 2, 2, 3, 1, 2, 2, 1, 
##     2, 3, 2, 4, 0, 2, 3, 3, 1, 0, 2, 0, 1, 0, 2, 3, 0, 2, 2, 
##     0, 2, 1, 2, 4, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 3, 2, 1, 
##     2, 2, 0, 2, 1, 1, 0, 1, 3, 1, 1, 2, 1, 0, 1, 4, 2, 4, 2, 
##     1, 3, 1, 2, 0, 1, 0, 1, 0, 3, 1, 0, 1, 1, 0, 0, 3, 2, 2, 
##     1, 0, 1, 1, 0, 4, 2, 2, 1, 1, 1, 1, 6, 3, 1, 1, 3, 1, 1, 
##     2, 2, 2, 1, 3, 2, 3, 1, 2, 1, 3, 4, 3, 2, 2, 2, 2, 3, 0, 
##     2, 4, 2, 2, 0, 2, 3, 5, 1, 4, 0, 2, 1, 0, 2, 2, 0, 4, 2, 
##     2, 1, 1, 4, 1, 2, 8, 2, 4, 1, 1, 0, 1, 2, 1, 4, 1, 3, 1, 
##     2, 1, 1, 0, 0, 1, 1, 4, 0, 1, 3, 0, 4, 1, 0, 1, 1, 2, 2, 
##     1, 1, 5, 0, 1, 0, 1, 1, 3, 3, 2, 3, 0, 0, 1, 0, 1, 2, 1, 
##     0, 3, 1, 1, 5, 1, 2, 0, 6, 2, 0, 3, 3, 0, 1, 4, 2, 1, 3, 
##     2, 0, 2, 1, 4, 0, 1, 0, 6, 2, 3, 1, 3, 0, 1, 3, 2, 1, 1, 
##     4, 1, 4, 0, 3, 0, 0, 0, 1, 3, 3, 2, 0, 1, 3, 3, 0, 1, 1, 
##     0, 4, 1, 0, 1, 0, 1, 4, 2, 2, 1, 2, 1, 0, 1, 0, 3, 1, 4, 
##     0, 0, 3, 2, 0, 0, 1, 2, 1, 1, 1, 1, 3, 0, 0, 1, 1, 2, 3, 
##     1, 1, 0, 2, 0, 1, 3, 2, 3, 2, 3, 1, 1, 0, 2, 1, 1, 2, 1, 
##     3, 1, 3, 2, 1, 2, 2, 0, 2, 3, 2, 1, 0, 3, 2, 1, 3, 2, 2, 
##     2, 1, 1, 0, 1, 0, 3, 1, 0, 3, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
##     1, 1, 1, 2, 4, 2, 0, 1, 2, 4, 1, 2, 2, 2, 2, 0, 0, 1, 1, 
##     2, 2, 6, 3, 0, 2, 1, 3, 1, 0, 2, 1, 0, 1, 3, 2, 0, 2, 3, 
##     2, 2, 2, 1, 0, 0, 1, 0, 3, 2, 2, 2, 2, 1, 0, 2, 0, 4, 1, 
##     1, 2, 2, 3, 0, 1, 3, 3, 5, 1, 1, 0, 5, 1, 2, 3, 1, 5, 2, 
##     1, 2, 1, 5, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 3, 0, 0, 1, 
##     2, 0, 3, 2, 2, 0, 3, 2, 1, 3, 1, 1, 2, 1, 2, 2, 1, 3, 3, 
##     1, 3, 2, 0, 1, 1, 0, 1, 3, 2, 1, 0, 1, 3, 3, 5, 3, 1, 1, 
##     2, 4, 2, 1, 1, 5, 5, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 
##     2, 3, 1, 4, 3, 2, 1, 2, 2, 4, 0, 3, 3, 1, 2, 1, 4, 1, 3, 
##     0, 0, 0, 0, 0, 0, 4, 2, 1, 1, 3, 3, 4, 5, 1, 3, 0, 3, 1, 
##     0, 2, 1, 0, 1, 2, 3, 3, 1, 2, 1, 3, 1, 0, 1, 2, 1, 1, 2, 
##     0, 0, 3, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 3, 3, 
##     3, 1, 3, 1, 0, 1, 3, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 4, 
##     0, 0, 2, 3, 0, 3, 2, 0, 1, 5, 0, 0, 1, 1, 0, 1, 0, 1, 1, 
##     2, 1, 1, 1, 2, 7, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 
##     1, 1, 2, 0, 0, 1, 2, 0, 3, 0, 1, 0, 1, 2, 1, 1, 5, 2, 5, 
##     2, 1, 3, 2, 1, 1, 0, 1, 0, 2, 2, 4, 1, 1, 2, 0, 1, 4, 4, 
##     0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 3, 2, 1, 0, 3, 0, 1, 
##     2, 2, 0, 3, 3, 2, 1, 1, 0, 0, 0, 3, 3, 0, 1, 2, 5, 0, 2, 
##     0, 0, 2, 1, 1, 5, 3, 2, 3, 1, 0, 1, 3, 0, 3, 2, 1, 1, 1, 
##     4, 1, 2, 3, 1, 0, 1, 3, 3, 3, 1, 0, 5, 1, 4, 4, 0, 3, 2, 
##     1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 3, 0, 1, 2, 2, 1, 1, 1, 
##     2, 3, 5, 1, 3, 3, 2, 0, 2, 0, 0, 3, 1, 2, 2, 3, 1, 0, 3, 
##     3, 1, 3, 0, 4, 2, 3, 3, 1, 1, 2, 1, 0, 4, 0, 3, 0, 1, 1, 
##     3, 4, 2, 3, 6, 1, 2, 2, 1, 3, 0, 2, 1, 1, 1, 0, 2, 0, 3, 
##     0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 3, 1, 3, 1, 1, 1, 
##     1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 3, 0, 1, 1, 1, 2, 1, 1, 4, 
##     2, 0, 3, 1, 2, 1, 2, 3, 1, 1, 3, 5, 0, 0, 1, 3, 0, 1, 2, 
##     3, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 4, 3, 0, 3, 2, 0, 3, 1, 
##     1, 2, 1, 3, 2, 1, 3, 3, 0, 0), c(1, 2, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 
##     2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 
##     1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 
##     1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 
##     1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 
##     2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 
##     1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 
##     1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 
##     1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 
##     2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 
##     1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 
##     1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 
##     1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 
##     1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 
##     2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 
##     1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 
##     2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 
##     2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 
##     1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 
##     2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 
##     2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 
##     2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 
##     2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 
##     1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 
##     1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 
##     2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 
##     2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 
##     1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 
##     1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 
##     1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 
##     2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 
##     1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 
##     2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 
##     2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 
##     2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 
##     2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 
##     1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 
##     1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 
##     1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 
##     1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 
##     1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 
##     1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 
##     1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 
##     1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
##     1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 
##     1, 1)), control = list(20, 7, 0, 4, 5, 2, 0, 30, 0))
##   n= 4000 
## 
##           CP nsplit rel error
## 1 0.07373473      0 1.0000000
## 2 0.06282723      4 0.7050611
## 3 0.05148342      5 0.6422339
## 
## Variable importance
##     day.charge       day.mins customer.calls     eve.charge       eve.mins 
##             27             27             17              7              7 
## voice.messages  voice.planyes 
##              6              6 
## 
## Node number 1: 4000 observations,    complexity param=0.07373473
##   predicted class=no   expected loss=0.14325  P(node) =1
##     class counts:  3427   573
##    probabilities: 0.857 0.143 
##   left son=2 (3657 obs) right son=3 (343 obs)
##   Primary splits:
##       day.mins       < 254.5  to the left,  improve=107.56150, (0 missing)
##       day.charge     < 43.265 to the left,  improve=107.56150, (0 missing)
##       customer.calls < 3.5    to the left,  improve= 87.59266, (0 missing)
##       intl.planyes   < 0.5    to the left,  improve= 59.74174, (0 missing)
##       voice.planyes  < 0.5    to the right, improve= 11.43979, (0 missing)
##   Surrogate splits:
##       day.charge < 43.265 to the left,  agree=1.000, adj=1.000, (0 split)
##       eve.mins   < 39.75  to the right, agree=0.914, adj=0.003, (0 split)
##       eve.charge < 3.375  to the right, agree=0.914, adj=0.003, (0 split)
## 
## Node number 2: 3657 observations,    complexity param=0.07373473
##   predicted class=no   expected loss=0.1077386  P(node) =0.91425
##     class counts:  3263   394
##    probabilities: 0.892 0.108 
##   left son=4 (3359 obs) right son=5 (298 obs)
##   Primary splits:
##       customer.calls < 3.5    to the left,  improve=99.841800, (0 missing)
##       intl.planyes   < 0.5    to the left,  improve=53.942960, (0 missing)
##       intl.mins      < 13.15  to the left,  improve=10.215690, (0 missing)
##       intl.charge    < 3.55   to the left,  improve=10.215690, (0 missing)
##       day.mins       < 236.15 to the left,  improve= 8.112303, (0 missing)
## 
## Node number 3: 343 observations,    complexity param=0.07373473
##   predicted class=yes  expected loss=0.4781341  P(node) =0.08575
##     class counts:   164   179
##    probabilities: 0.478 0.522 
##   left son=6 (79 obs) right son=7 (264 obs)
##   Primary splits:
##       voice.planyes  < 0.5    to the right, improve=38.53373, (0 missing)
##       voice.messages < 6.5    to the right, improve=38.53373, (0 missing)
##       eve.mins       < 204.25 to the left,  improve=22.76123, (0 missing)
##       eve.charge     < 17.365 to the left,  improve=22.76123, (0 missing)
##       day.mins       < 288.75 to the left,  improve=16.35894, (0 missing)
##   Surrogate splits:
##       voice.messages < 6.5    to the right, agree=1.000, adj=1.000, (0 split)
##       account.length < 13.5   to the left,  agree=0.776, adj=0.025, (0 split)
##       night.calls    < 57.5   to the left,  agree=0.776, adj=0.025, (0 split)
##       stateTN        < 0.5    to the right, agree=0.773, adj=0.013, (0 split)
##       stateWY        < 0.5    to the right, agree=0.773, adj=0.013, (0 split)
## 
## Node number 4: 3359 observations
##   predicted class=no   expected loss=0.07293837  P(node) =0.83975
##     class counts:  3114   245
##    probabilities: 0.927 0.073 
## 
## Node number 5: 298 observations,    complexity param=0.07373473
##   predicted class=no   expected loss=0.5  P(node) =0.0745
##     class counts:   149   149
##    probabilities: 0.500 0.500 
##   left son=10 (179 obs) right son=11 (119 obs)
##   Primary splits:
##       day.mins       < 160.2  to the right, improve=55.407210, (0 missing)
##       day.charge     < 27.235 to the right, improve=55.407210, (0 missing)
##       eve.mins       < 189.55 to the right, improve=13.009440, (0 missing)
##       eve.charge     < 16.11  to the right, improve=13.009440, (0 missing)
##       customer.calls < 4.5    to the left,  improve= 8.537074, (0 missing)
##   Surrogate splits:
##       day.charge     < 27.235 to the right, agree=1.000, adj=1.000, (0 split)
##       eve.mins       < 118.6  to the right, agree=0.628, adj=0.067, (0 split)
##       eve.charge     < 10.08  to the right, agree=0.628, adj=0.067, (0 split)
##       stateMT        < 0.5    to the left,  agree=0.621, adj=0.050, (0 split)
##       customer.calls < 5.5    to the left,  agree=0.614, adj=0.034, (0 split)
## 
## Node number 6: 79 observations
##   predicted class=no   expected loss=0.08860759  P(node) =0.01975
##     class counts:    72     7
##    probabilities: 0.911 0.089 
## 
## Node number 7: 264 observations,    complexity param=0.06282723
##   predicted class=yes  expected loss=0.3484848  P(node) =0.066
##     class counts:    92   172
##    probabilities: 0.348 0.652 
##   left son=14 (110 obs) right son=15 (154 obs)
##   Primary splits:
##       eve.mins   < 187.75 to the left,  improve=37.45801, (0 missing)
##       eve.charge < 15.96  to the left,  improve=37.45801, (0 missing)
##       day.mins   < 286.8  to the left,  improve=15.91546, (0 missing)
##       day.charge < 48.755 to the left,  improve=15.91546, (0 missing)
##       night.mins < 166.9  to the left,  improve=14.94565, (0 missing)
##   Surrogate splits:
##       eve.charge   < 15.96  to the left,  agree=1.000, adj=1.000, (0 split)
##       intl.mins    < 13.75  to the right, agree=0.606, adj=0.055, (0 split)
##       intl.charge  < 3.715  to the right, agree=0.606, adj=0.055, (0 split)
##       night.mins   < 284    to the right, agree=0.602, adj=0.045, (0 split)
##       night.charge < 12.78  to the right, agree=0.602, adj=0.045, (0 split)
## 
## Node number 10: 179 observations
##   predicted class=no   expected loss=0.2513966  P(node) =0.04475
##     class counts:   134    45
##    probabilities: 0.749 0.251 
## 
## Node number 11: 119 observations
##   predicted class=yes  expected loss=0.1260504  P(node) =0.02975
##     class counts:    15   104
##    probabilities: 0.126 0.874 
## 
## Node number 14: 110 observations
##   predicted class=no   expected loss=0.3363636  P(node) =0.0275
##     class counts:    73    37
##    probabilities: 0.664 0.336 
## 
## Node number 15: 154 observations
##   predicted class=yes  expected loss=0.1233766  P(node) =0.0385
##     class counts:    19   135
##    probabilities: 0.123 0.877

## Check Decision Tree Classifier (2)

library(rattle)

## Loading required package: tibble

## Loading required package: bitops

## Rattle: A free graphical interface for data science with R.
## Version 5.5.1 Copyright (c) 2006-2021 Togaware Pty Ltd.
## Type 'rattle()' to shake, rattle, and roll your data.

fancyRpartPlot(dt_model$finalModel)

# To do:  Try to explain the decision tree in the output
# The root node is split by day.mins with threshold value day.mins>= 255 with yes 9% yes and 91% no. The yes output values from root node are split by  voice.plano at threshold 0.05, with yes 7% and no 2%. Similarly, for all the nodes splitting. It has depth of 3. The different colors for each yes and no category are provided and the color darkness by proportional to the accuracy.

## Check Decision Tree Classifier (3) 

library(rpart.plot)

prp(dt_model$finalModel)

rpart.plot(dt_model$finalModel)