0. The framework

  1. Prepare data
    • create a class target label based on numerical target label
    • split data into training and testing datasets
    • scale the data
  2. Simple modeling
  3. Grid search and feature selection
    • 10 fold cross-validation grid search to find the best set of hyperparameters
    • feature selection - select top 20 most important features
    • generate model using best set of hyperparameter and top x (x=20,30, etc.) features
    • evaluate model performance on holdout dataset
  4. Compare performance of difference models on holdout dataset
    • performance metrics: ROC

reference:

Load libraries

library(ggplot2)
library(dplyr)
library(corrplot)
library(psych)
library(tidyr)
library(psych)
library(caret) 

1. Prepare data

1.1. Read data

df=read.csv("winequality-red.csv",sep=";")
head(df)

1.2. Descriptive statistics

str(df)
## 'data.frame':    1599 obs. of  12 variables:
##  $ fixed.acidity       : num  7.4 7.8 7.8 11.2 7.4 7.4 7.9 7.3 7.8 7.5 ...
##  $ volatile.acidity    : num  0.7 0.88 0.76 0.28 0.7 0.66 0.6 0.65 0.58 0.5 ...
##  $ citric.acid         : num  0 0 0.04 0.56 0 0 0.06 0 0.02 0.36 ...
##  $ residual.sugar      : num  1.9 2.6 2.3 1.9 1.9 1.8 1.6 1.2 2 6.1 ...
##  $ chlorides           : num  0.076 0.098 0.092 0.075 0.076 0.075 0.069 0.065 0.073 0.071 ...
##  $ free.sulfur.dioxide : num  11 25 15 17 11 13 15 15 9 17 ...
##  $ total.sulfur.dioxide: num  34 67 54 60 34 40 59 21 18 102 ...
##  $ density             : num  0.998 0.997 0.997 0.998 0.998 ...
##  $ pH                  : num  3.51 3.2 3.26 3.16 3.51 3.51 3.3 3.39 3.36 3.35 ...
##  $ sulphates           : num  0.56 0.68 0.65 0.58 0.56 0.56 0.46 0.47 0.57 0.8 ...
##  $ alcohol             : num  9.4 9.8 9.8 9.8 9.4 9.4 9.4 10 9.5 10.5 ...
##  $ quality             : int  5 5 5 6 5 5 5 7 7 5 ...
df.stats=describe(df)
df.stats=data.frame(df.stats)
round(df.stats,2)
#knitr::kable(df.stats, digits = 2)

1.3. Target Variable

create a target variable based on ‘quality’ variable

1.3.1 create target labels

#df['quality'][df['quality']>6,]
df['target']='not.good'
df[df['quality']>6,]['target']='good'
df['quality']=NULL

df['target']=as.factor(df$target) #it is important to make the target variable a 'factor' variable

check the target label class distribution

y=df['target']

c=data.frame(rbind(table(y),table(y)/nrow(y)*100))
rownames(c)=c('Number of Wines','%')
#colnames(c)=c('class - good wine','class - not good wine')
c

1.3.2 Split data

use stratified approach to ensure the target class labels are similarly represented in both training and testing datasets

train_ind=createDataPartition(y=df$target, p = .75, list = FALSE)
df_train=df[ train_ind,]
df_test=df[-train_ind,]

ensure the target label proportions in training and testing datasets

table(df_train['target'])/nrow(df_train)
## 
##      good  not.good 
## 0.1358333 0.8641667
table(df_test['target'])/nrow(df_test)
## 
##      good  not.good 
## 0.1353383 0.8646617

1.3.3 Scale the data

preProcValues=preProcess(df_train, method = c("center", "scale"))

df_train_scaled=predict(preProcValues, df_train)
df_test_scaled=predict(preProcValues, df_test)

2. Stochastic Gradient Boosting

this is tree-based model and is not sensitive to scale

2.1 Simple modeling

2.1.1 fit the model

gbm_ctrl=trainControl(method = "none", classProbs = TRUE,summaryFunction = twoClassSummary)
gbm_grid=data.frame(interaction.depth = 4,
                                       n.trees = 100,
                                       shrinkage = .1,
                                       n.minobsinnode = 20)

set.seed(825)
gbm_model=train(target ~ ., data = df_train, 
                 method = "gbm", 
                 trControl = gbm_ctrl, 
                 verbose = F, 
                 tuneGrid = gbm_grid,
                 metric = "ROC")
gbm_model
## Stochastic Gradient Boosting 
## 
## 1200 samples
##   11 predictor
##    2 classes: 'good', 'not.good' 
## 
## No pre-processing
## Resampling: None

2.1.2 evaluate on the holdout dataset

gbm_predict=predict(gbm_model, newdata = df_test[,1:11], type = "prob")
head(gbm_predict)
gbm_pred_obs=gbm_predict
gbm_pred_obs['obs']=df_test['target']
gbm_pred_obs['pred']=ifelse(gbm_pred_obs$not.good>0.864,'not.good','good') #use base rate as threshold
gbm_pred_obs$pred=as.factor(gbm_pred_obs$pred)

head(gbm_pred_obs)
twoClassSummary(gbm_pred_obs, lev = levels(gbm_pred_obs$obs))
##       ROC      Sens      Spec 
## 0.8761675 0.7962963 0.8347826

3. Random Forest

this is tree-based model and is not sensitive to scale

3.1 Simple modeling

3.1.1 fit the model

rf_ctrl=trainControl(method = "none", classProbs = TRUE,summaryFunction = twoClassSummary)
rf_grid=expand.grid(mtry = c(11))

set.seed(1234)
rf_model=train(target ~ ., data = df_train, 
                 method = "rf", 
                 trControl = rf_ctrl, 
                 verbose = F, 
                 tuneGrid = rf_grid,
                 metric = "ROC")
rf_model
## Random Forest 
## 
## 1200 samples
##   11 predictor
##    2 classes: 'good', 'not.good' 
## 
## No pre-processing
## Resampling: None

3.1.2 evaluate on the holdout dataset

rf_predict=predict(rf_model, newdata = df_test[,1:11], type = "prob")
head(rf_predict)
rf_pred_obs=rf_predict
rf_pred_obs['obs']=df_test['target']
rf_pred_obs['pred']=ifelse(rf_pred_obs$not.good>0.864,'not.good','good') #use base rate as threshold
rf_pred_obs$pred=as.factor(rf_pred_obs$pred)

head(rf_pred_obs)
twoClassSummary(rf_pred_obs, lev = levels(rf_pred_obs$obs))
##       ROC      Sens      Spec 
## 0.8826892 0.8703704 0.7942029

3.2 Hyperparameter tuning via grid search

3.2.1 grid search and hyperparameter tuning

rf_grid=expand.grid(mtry = c(1:11))

rf_ctrl=trainControl(method = "repeatedcv",
                      number = 10,#10-fold cross validation
                      repeats = 1, #repeats once
                      classProbs = TRUE,# estimate class probabilities
                      summaryFunction = twoClassSummary #evaluate performance on training dataset
                      )


set.seed(1234)
rf_model=train(target ~ ., data = df_train, 
                 method = "rf", 
                 trControl = rf_ctrl, 
                 verbose = F, 
                 tuneGrid = rf_grid,
                 metric = "ROC")
rf_model
## Random Forest 
## 
## 1200 samples
##   11 predictor
##    2 classes: 'good', 'not.good' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold, repeated 1 times) 
## Summary of sample sizes: 1080, 1080, 1081, 1080, 1081, 1079, ... 
## Resampling results across tuning parameters:
## 
##   mtry  ROC        Sens       Spec     
##    1    0.9314391  0.4591912  0.9893671
##    2    0.9253702  0.5198529  0.9778099
##    3    0.9220374  0.5507353  0.9758775
##    4    0.9177378  0.5323529  0.9729836
##    5    0.9170394  0.5444853  0.9749253
##    6    0.9152199  0.5628676  0.9730022
##    7    0.9132380  0.5632353  0.9710792
##    8    0.9155592  0.5632353  0.9710792
##    9    0.9135824  0.5819853  0.9691468
##   10    0.9128259  0.5761029  0.9691561
##   11    0.9105623  0.5882353  0.9710885
## 
## ROC was used to select the optimal model using  the largest value.
## The final value used for the model was mtry = 1.

3.2.2 choose best set of hyperparameters

*display the hyperparameters and model performance

rf_model$results

3.2.3 ROC density graph

trellis.par.set(caretTheme())
densityplot(rf_model, pch = "|")

#### 3.2.4 Feature importance

rf_imp=varImp(rf_model, scale = FALSE)
rf_imp
## rf variable importance
## 
##                      Overall
## alcohol                37.11
## sulphates              30.29
## volatile.acidity       29.76
## density                27.42
## citric.acid            24.49
## chlorides              23.99
## total.sulfur.dioxide   23.72
## fixed.acidity          22.56
## residual.sugar         20.83
## pH                     20.21
## free.sulfur.dioxide    18.09
plot(rf_imp, top = ncol(df_test)-1)

3.2.5 select top x (x=6) features to fit into models

x can be changed to 20, 25, 28, etc. when there are a large number of features

x_cols=c('alcohol','volatile.acidity','sulphates','citric.acid','density','total.sulfur.dioxide','target')

3.3.1 re-tune the model with top x features

rf_grid=expand.grid(mtry = c(1:11))

rf_ctrl=trainControl(method = "repeatedcv",
                      number = 10,#10-fold cross validation
                      repeats = 1, #repeats once
                      classProbs = TRUE,# estimate class probabilities
                      summaryFunction = twoClassSummary #evaluate performance on training dataset
                      )


set.seed(1234)
rf_model=train(target ~ ., data = df_train[,x_cols], 
                 method = "rf", 
                 trControl = rf_ctrl, 
                 verbose = F, 
                 tuneGrid = rf_grid,
                 metric = "ROC")
rf_model
## Random Forest 
## 
## 1200 samples
##    6 predictor
##    2 classes: 'good', 'not.good' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold, repeated 1 times) 
## Summary of sample sizes: 1080, 1080, 1081, 1080, 1081, 1079, ... 
## Resampling results across tuning parameters:
## 
##   mtry  ROC        Sens       Spec     
##    1    0.9176736  0.5202206  0.9816561
##    2    0.9131628  0.5569853  0.9720220
##    3    0.9106488  0.5694853  0.9700896
##    4    0.9027701  0.5632353  0.9700990
##    5    0.9023240  0.5757353  0.9672050
##    6    0.8993888  0.5694853  0.9614264
##    7    0.9014878  0.5757353  0.9614264
##    8    0.9023451  0.5819853  0.9643111
##    9    0.9009160  0.5757353  0.9652726
##   10    0.8998049  0.5819853  0.9672237
##   11    0.9048044  0.5819853  0.9643297
## 
## ROC was used to select the optimal model using  the largest value.
## The final value used for the model was mtry = 1.
rf_model$results

3.3.2 choose the best set of hyperparameters

rf_model$results[order(rf_model$results$ROC, decreasing = T),][1:5,1:6]

3.4.1 generate final model

rf_grid=expand.grid(mtry = c(1:11))

rf_ctrl=trainControl(method = "repeatedcv",
                      number = 10,#10-fold cross validation
                      repeats = 1, #repeats once
                      classProbs = TRUE,# estimate class probabilities
                      summaryFunction = twoClassSummary #evaluate performance on training dataset
                      )


set.seed(1234)
rf_model=train(target ~ ., data = df_train[,x_cols], 
                 method = "rf", 
                 trControl = rf_ctrl, 
                 verbose = F, 
                 tuneGrid = rf_grid,
                 metric = "ROC")
rf_model
## Random Forest 
## 
## 1200 samples
##    6 predictor
##    2 classes: 'good', 'not.good' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold, repeated 1 times) 
## Summary of sample sizes: 1080, 1080, 1081, 1080, 1081, 1079, ... 
## Resampling results across tuning parameters:
## 
##   mtry  ROC        Sens       Spec     
##    1    0.9176736  0.5202206  0.9816561
##    2    0.9131628  0.5569853  0.9720220
##    3    0.9106488  0.5694853  0.9700896
##    4    0.9027701  0.5632353  0.9700990
##    5    0.9023240  0.5757353  0.9672050
##    6    0.8993888  0.5694853  0.9614264
##    7    0.9014878  0.5757353  0.9614264
##    8    0.9023451  0.5819853  0.9643111
##    9    0.9009160  0.5757353  0.9652726
##   10    0.8998049  0.5819853  0.9672237
##   11    0.9048044  0.5819853  0.9643297
## 
## ROC was used to select the optimal model using  the largest value.
## The final value used for the model was mtry = 1.

3.4.2 Evalute model performance on holdout dataset

rf_predict=predict(rf_model, newdata = df_test[,x_cols], type = "prob")
head(rf_predict)
rf_pred_obs=rf_predict
rf_pred_obs['obs']=df_test['target']
rf_pred_obs['pred']=ifelse(rf_pred_obs$not.good>0.864,'not.good','good') #use base rate as threshold
rf_pred_obs$pred=as.factor(rf_pred_obs$pred)

head(rf_pred_obs)
twoClassSummary(rf_pred_obs, lev = levels(rf_pred_obs$obs))
##       ROC      Sens      Spec 
## 0.8931025 0.8703704 0.7797101

3.4.3 Lift graph

trellis.par.set(caretTheme())

lift_obj=lift(obs ~ not.good, data = rf_pred_obs)
plot(lift_obj, values = 60, auto.key = list(columns = 2,
                                            lines = TRUE,
                                            points = FALSE))

ggplot(lift_obj, values = 60)

3.4.4 Calibration chart

trellis.par.set(caretTheme())
cal_obj=calibration(obs ~ not.good, data = rf_pred_obs,
                       cuts = 13)
plot(cal_obj, type = "l", auto.key = list(columns = 3,
                                          lines = TRUE,
                                          points = FALSE))

ggplot(cal_obj)

4. eXtreme Gradient Boosting

use the tree-based xgbTree reference: https://github.com/topepo/caret/blob/master/RegressionTests/Code/xgbTree.R

4.1 Simple modeling

4.1.1 fit the model

xgb_ctrl=trainControl(method = "none", classProbs = TRUE,summaryFunction = twoClassSummary)

xgb_grid=expand.grid(nrounds = 8,
                    max_depth = 7,
                    eta = 0.1,
                    gamma = 0,
                    colsample_bytree = .7,
                    min_child_weight = 1,
                    subsample = 1)

set.seed(1234)
xgb_model=train(target ~ ., data = df_train, 
                 method = "xgbTree", 
                 trControl = xgb_ctrl, 
                 verbose = F, 
                 tuneGrid = xgb_grid,
                 metric = "ROC")
xgb_model
## eXtreme Gradient Boosting 
## 
## 1200 samples
##   11 predictor
##    2 classes: 'good', 'not.good' 
## 
## No pre-processing
## Resampling: None

4.1.2 evaluate on the holdout dataset

xgb_predict=predict(xgb_model, newdata = df_test[,1:11], type = "prob")
head(xgb_predict)
xgb_pred_obs=xgb_predict
xgb_pred_obs['obs']=df_test['target']
xgb_pred_obs['pred']=ifelse(xgb_pred_obs$not.good>0.664,'not.good','good') 
xgb_pred_obs$pred=as.factor(xgb_pred_obs$pred)

head(xgb_pred_obs)
twoClassSummary(xgb_pred_obs, lev = levels(xgb_pred_obs$obs))
##       ROC      Sens      Spec 
## 0.7814815 0.6851852 0.8115942

4.2 Hyperparameter tuning via grid search

4.2.1 grid search and hyperparameter tuning

xgb_grid=expand.grid(nrounds = c(1,2,3,4,5,6,7,8,9,10,11,12,15),
                    max_depth = c(3,5,7,9,11,13,15,17),
                    eta = c(0.01,0.05,.1,0.2,.5,1,5,10),
                    gamma = 0,
                    colsample_bytree = c(.1,.5,.7,1,1.5),
                    min_child_weight = 1,
                    subsample = c(.8, 1))

xgb_ctrl=trainControl(method = "repeatedcv",
                      number = 10,#10-fold cross validation
                      repeats = 1, #repeats once
                      classProbs = TRUE,# estimate class probabilities
                      summaryFunction = twoClassSummary #evaluate performance on training dataset
                      )


set.seed(1234)
xgb_model=train(target ~ ., data = df_train, 
                 method = "xgbTree", 
                 trControl = xgb_ctrl, 
                 verbose = F, 
                 tuneGrid = xgb_grid,
                 metric = "ROC")
xgb_model
## eXtreme Gradient Boosting 
## 
## 1200 samples
##   11 predictor
##    2 classes: 'good', 'not.good' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold, repeated 1 times) 
## Summary of sample sizes: 1080, 1080, 1081, 1080, 1081, 1079, ... 
## Resampling results across tuning parameters:
## 
##   eta    max_depth  colsample_bytree  subsample  nrounds  ROC      
##    0.01   3         0.1               0.8         1       0.5994924
##    0.01   3         0.1               0.8         2       0.6165120
##    0.01   3         0.1               0.8         3       0.6197081
##    0.01   3         0.1               0.8         4       0.6235920
##    0.01   3         0.1               0.8         5       0.6274055
##    0.01   3         0.1               0.8         6       0.6294788
##    0.01   3         0.1               0.8         7       0.6291142
##    0.01   3         0.1               0.8         8       0.6303444
##    0.01   3         0.1               0.8         9       0.6340589
##    0.01   3         0.1               0.8        10       0.6351550
##    0.01   3         0.1               0.8        11       0.6343437
##    0.01   3         0.1               0.8        12       0.6348995
##    0.01   3         0.1               0.8        15       0.6406026
##    0.01   3         0.1               1.0         1       0.5916849
##    0.01   3         0.1               1.0         2       0.5916849
##    0.01   3         0.1               1.0         3       0.5933984
##    0.01   3         0.1               1.0         4       0.5928826
##    0.01   3         0.1               1.0         5       0.5928826
##    0.01   3         0.1               1.0         6       0.5918610
##    0.01   3         0.1               1.0         7       0.5918610
##    0.01   3         0.1               1.0         8       0.5945052
##    0.01   3         0.1               1.0         9       0.5945052
##    0.01   3         0.1               1.0        10       0.5945052
##    0.01   3         0.1               1.0        11       0.5945052
##    0.01   3         0.1               1.0        12       0.5949630
##    0.01   3         0.1               1.0        15       0.5989015
##    0.01   3         0.5               0.8         1       0.7042194
##    0.01   3         0.5               0.8         2       0.7383709
##    0.01   3         0.5               0.8         3       0.7613439
##    0.01   3         0.5               0.8         4       0.7621763
##    0.01   3         0.5               0.8         5       0.7653827
##    0.01   3         0.5               0.8         6       0.7661238
##    0.01   3         0.5               0.8         7       0.7702575
##    0.01   3         0.5               0.8         8       0.7697095
##    0.01   3         0.5               0.8         9       0.7695451
##    0.01   3         0.5               0.8        10       0.7703849
##    0.01   3         0.5               0.8        11       0.7699408
##    0.01   3         0.5               0.8        12       0.7706670
##    0.01   3         0.5               0.8        15       0.7770984
##    0.01   3         0.5               1.0         1       0.7159431
##    0.01   3         0.5               1.0         2       0.7163193
##    0.01   3         0.5               1.0         3       0.7248287
##    0.01   3         0.5               1.0         4       0.7260750
##    0.01   3         0.5               1.0         5       0.7287974
##    0.01   3         0.5               1.0         6       0.7292091
##    0.01   3         0.5               1.0         7       0.7336473
##    0.01   3         0.5               1.0         8       0.7382397
##    0.01   3         0.5               1.0         9       0.7395128
##    0.01   3         0.5               1.0        10       0.7478261
##    0.01   3         0.5               1.0        11       0.7480228
##    0.01   3         0.5               1.0        12       0.7480681
##    0.01   3         0.5               1.0        15       0.7556715
##    0.01   3         0.7               0.8         1       0.7250592
##    0.01   3         0.7               0.8         2       0.7510509
##    0.01   3         0.7               0.8         3       0.7418292
##    0.01   3         0.7               0.8         4       0.7465775
##    0.01   3         0.7               0.8         5       0.7744729
##    0.01   3         0.7               0.8         6       0.7754792
##    0.01   3         0.7               0.8         7       0.7717742
##    0.01   3         0.7               0.8         8       0.7779324
##    0.01   3         0.7               0.8         9       0.7751852
##    0.01   3         0.7               0.8        10       0.7770321
##    0.01   3         0.7               0.8        11       0.7784324
##    0.01   3         0.7               0.8        12       0.7767663
##    0.01   3         0.7               0.8        15       0.7785992
##    0.01   3         0.7               1.0         1       0.7110518
##    0.01   3         0.7               1.0         2       0.7069112
##    0.01   3         0.7               1.0         3       0.7211733
##    0.01   3         0.7               1.0         4       0.7196404
##    0.01   3         0.7               1.0         5       0.7248779
##    0.01   3         0.7               1.0         6       0.7254789
##    0.01   3         0.7               1.0         7       0.7263224
##    0.01   3         0.7               1.0         8       0.7307736
##    0.01   3         0.7               1.0         9       0.7394804
##    0.01   3         0.7               1.0        10       0.7471953
##    0.01   3         0.7               1.0        11       0.7486481
##    0.01   3         0.7               1.0        12       0.7491723
##    0.01   3         0.7               1.0        15       0.7552370
##    0.01   3         1.0               0.8         1       0.7964388
##    0.01   3         1.0               0.8         2       0.8109846
##    0.01   3         1.0               0.8         3       0.8158892
##    0.01   3         1.0               0.8         4       0.8188121
##    0.01   3         1.0               0.8         5       0.8344778
##    0.01   3         1.0               0.8         6       0.8380784
##    0.01   3         1.0               0.8         7       0.8489547
##    0.01   3         1.0               0.8         8       0.8505024
##    0.01   3         1.0               0.8         9       0.8523277
##    0.01   3         1.0               0.8        10       0.8542103
##    0.01   3         1.0               0.8        11       0.8534938
##    0.01   3         1.0               0.8        12       0.8542822
##    0.01   3         1.0               0.8        15       0.8549277
##    0.01   3         1.0               1.0         1       0.7993407
##    0.01   3         1.0               1.0         2       0.7995811
##    0.01   3         1.0               1.0         3       0.7995973
##    0.01   3         1.0               1.0         4       0.8038376
##    0.01   3         1.0               1.0         5       0.8036238
##    0.01   3         1.0               1.0         6       0.8029927
##    0.01   3         1.0               1.0         7       0.8029326
##    0.01   3         1.0               1.0         8       0.8075076
##    0.01   3         1.0               1.0         9       0.8076313
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##    0.01   3         1.0               1.0        11       0.8077485
##    0.01   3         1.0               1.0        12       0.8082941
##    0.01   3         1.0               1.0        15       0.8161160
##    0.01   3         1.5               0.8         1       0.5157167
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##    0.01   3         1.5               0.8        11       0.5157167
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##    0.01   3         1.5               1.0        10       0.5157167
##    0.01   3         1.5               1.0        11       0.5157167
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##    0.01   3         1.5               1.0        15       0.5157167
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##    0.01   5         0.7               0.8         1       0.7710360
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##    0.01   5         1.0               0.8         1       0.8181820
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##    0.01   5         1.0               0.8         3       0.8388402
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##    0.01   5         1.0               1.0         4       0.8111694
##    0.01   5         1.0               1.0         5       0.8136892
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##    0.05   5         0.1               1.0         1       0.5922591
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##    1.00   3         1.0               0.8         5       0.8685836
##    1.00   3         1.0               0.8         6       0.8643428
##    1.00   3         1.0               0.8         7       0.8737416
##    1.00   3         1.0               0.8         8       0.8736863
##    1.00   3         1.0               0.8         9       0.8821197
##    1.00   3         1.0               0.8        10       0.8861808
##    1.00   3         1.0               0.8        11       0.8890645
##    1.00   3         1.0               0.8        12       0.8874772
##    1.00   3         1.0               0.8        15       0.8912020
##    1.00   3         1.0               1.0         1       0.7993407
##    1.00   3         1.0               1.0         2       0.8591332
##    1.00   3         1.0               1.0         3       0.8626295
##    1.00   3         1.0               1.0         4       0.8721844
##    1.00   3         1.0               1.0         5       0.8732353
##    1.00   3         1.0               1.0         6       0.8653441
##    1.00   3         1.0               1.0         7       0.8700368
##    1.00   3         1.0               1.0         8       0.8735126
##    1.00   3         1.0               1.0         9       0.8733579
##    1.00   3         1.0               1.0        10       0.8733591
##    1.00   3         1.0               1.0        11       0.8773598
##    1.00   3         1.0               1.0        12       0.8822695
##    1.00   3         1.0               1.0        15       0.8887717
##    1.00   3         1.5               0.8         1       0.5157167
##    1.00   3         1.5               0.8         2       0.5157167
##    1.00   3         1.5               0.8         3       0.5157167
##    1.00   3         1.5               0.8         4       0.5157167
##    1.00   3         1.5               0.8         5       0.5157167
##    1.00   3         1.5               0.8         6       0.5157167
##    1.00   3         1.5               0.8         7       0.5157167
##    1.00   3         1.5               0.8         8       0.5157167
##    1.00   3         1.5               0.8         9       0.5157167
##    1.00   3         1.5               0.8        10       0.5157167
##    1.00   3         1.5               0.8        11       0.5157167
##    1.00   3         1.5               0.8        12       0.5157167
##    1.00   3         1.5               0.8        15       0.5157167
##    1.00   3         1.5               1.0         1       0.5157167
##    1.00   3         1.5               1.0         2       0.5157167
##    1.00   3         1.5               1.0         3       0.5157167
##    1.00   3         1.5               1.0         4       0.5157167
##    1.00   3         1.5               1.0         5       0.5157167
##    1.00   3         1.5               1.0         6       0.5157167
##    1.00   3         1.5               1.0         7       0.5157167
##    1.00   3         1.5               1.0         8       0.5157167
##    1.00   3         1.5               1.0         9       0.5157167
##    1.00   3         1.5               1.0        10       0.5157167
##    1.00   3         1.5               1.0        11       0.5157167
##    1.00   3         1.5               1.0        12       0.5157167
##    1.00   3         1.5               1.0        15       0.5157167
##    1.00   5         0.1               0.8         1       0.5942480
##    1.00   5         0.1               0.8         2       0.6213118
##    1.00   5         0.1               0.8         3       0.6315244
##    1.00   5         0.1               0.8         4       0.6329613
##    1.00   5         0.1               0.8         5       0.6243375
##    1.00   5         0.1               0.8         6       0.6242028
##    1.00   5         0.1               0.8         7       0.6225674
##    1.00   5         0.1               0.8         8       0.6313066
##    1.00   5         0.1               0.8         9       0.6263878
##    1.00   5         0.1               0.8        10       0.6365900
##    1.00   5         0.1               0.8        11       0.6350542
##    1.00   5         0.1               0.8        12       0.6374551
##    1.00   5         0.1               0.8        15       0.6242800
##    1.00   5         0.1               1.0         1       0.5922591
##    1.00   5         0.1               1.0         2       0.6263241
##    1.00   5         0.1               1.0         3       0.6370641
##    1.00   5         0.1               1.0         4       0.6358620
##    1.00   5         0.1               1.0         5       0.6373633
##    1.00   5         0.1               1.0         6       0.6423480
##    1.00   5         0.1               1.0         7       0.6369729
##    1.00   5         0.1               1.0         8       0.6376065
##    1.00   5         0.1               1.0         9       0.6385882
##    1.00   5         0.1               1.0        10       0.6428247
##    1.00   5         0.1               1.0        11       0.6401380
##    1.00   5         0.1               1.0        12       0.6412162
##    1.00   5         0.1               1.0        15       0.6419463
##    1.00   5         0.5               0.8         1       0.7623050
##    1.00   5         0.5               0.8         2       0.7795298
##    1.00   5         0.5               0.8         3       0.7952981
##    1.00   5         0.5               0.8         4       0.7867517
##    1.00   5         0.5               0.8         5       0.7856432
##    1.00   5         0.5               0.8         6       0.7985226
##    1.00   5         0.5               0.8         7       0.8066937
##    1.00   5         0.5               0.8         8       0.8024286
##    1.00   5         0.5               0.8         9       0.7989869
##    1.00   5         0.5               0.8        10       0.8009581
##    1.00   5         0.5               0.8        11       0.8012293
##    1.00   5         0.5               0.8        12       0.8038335
##    1.00   5         0.5               0.8        15       0.8075754
##    1.00   5         0.5               1.0         1       0.7632536
##    1.00   5         0.5               1.0         2       0.7772120
##    1.00   5         0.5               1.0         3       0.7885255
##    1.00   5         0.5               1.0         4       0.7838776
##    1.00   5         0.5               1.0         5       0.7937365
##    1.00   5         0.5               1.0         6       0.8020888
##    1.00   5         0.5               1.0         7       0.8050869
##    1.00   5         0.5               1.0         8       0.8136544
##    1.00   5         0.5               1.0         9       0.8188029
##    1.00   5         0.5               1.0        10       0.8204877
##    1.00   5         0.5               1.0        11       0.8227045
##    1.00   5         0.5               1.0        12       0.8215308
##    1.00   5         0.5               1.0        15       0.8301482
##    1.00   5         0.7               0.8         1       0.7565193
##    1.00   5         0.7               0.8         2       0.7851434
##    1.00   5         0.7               0.8         3       0.8037105
##    1.00   5         0.7               0.8         4       0.8076783
##    1.00   5         0.7               0.8         5       0.8061693
##    1.00   5         0.7               0.8         6       0.8121359
##    1.00   5         0.7               0.8         7       0.8131587
##    1.00   5         0.7               0.8         8       0.8292384
##    1.00   5         0.7               0.8         9       0.8332397
##    1.00   5         0.7               0.8        10       0.8335519
##    1.00   5         0.7               0.8        11       0.8351907
##    1.00   5         0.7               0.8        12       0.8314628
##    1.00   5         0.7               0.8        15       0.8304930
##    1.00   5         0.7               1.0         1       0.7442491
##    1.00   5         0.7               1.0         2       0.8049276
##    1.00   5         0.7               1.0         3       0.8279412
##    1.00   5         0.7               1.0         4       0.8356760
##    1.00   5         0.7               1.0         5       0.8476743
##    1.00   5         0.7               1.0         6       0.8517250
##    1.00   5         0.7               1.0         7       0.8572115
##    1.00   5         0.7               1.0         8       0.8573719
##    1.00   5         0.7               1.0         9       0.8596737
##    1.00   5         0.7               1.0        10       0.8622007
##    1.00   5         0.7               1.0        11       0.8630184
##    1.00   5         0.7               1.0        12       0.8680816
##    1.00   5         0.7               1.0        15       0.8644124
##    1.00   5         1.0               0.8         1       0.8222119
##    1.00   5         1.0               0.8         2       0.8623292
##    1.00   5         1.0               0.8         3       0.8736127
##    1.00   5         1.0               0.8         4       0.8699119
##    1.00   5         1.0               0.8         5       0.8743915
##    1.00   5         1.0               0.8         6       0.8734926
##    1.00   5         1.0               0.8         7       0.8700918
##    1.00   5         1.0               0.8         8       0.8728571
##    1.00   5         1.0               0.8         9       0.8707992
##    1.00   5         1.0               0.8        10       0.8687034
##    1.00   5         1.0               0.8        11       0.8717671
##    1.00   5         1.0               0.8        12       0.8692643
##    1.00   5         1.0               0.8        15       0.8809844
##    1.00   5         1.0               1.0         1       0.8058990
##    1.00   5         1.0               1.0         2       0.8642882
##    1.00   5         1.0               1.0         3       0.8734432
##    1.00   5         1.0               1.0         4       0.8850978
##    1.00   5         1.0               1.0         5       0.8953869
##    1.00   5         1.0               1.0         6       0.9022656
##    1.00   5         1.0               1.0         7       0.8996019
##    1.00   5         1.0               1.0         8       0.8996458
##    1.00   5         1.0               1.0         9       0.9016486
##    1.00   5         1.0               1.0        10       0.9064577
##    1.00   5         1.0               1.0        11       0.9069073
##    1.00   5         1.0               1.0        12       0.9096636
##    1.00   5         1.0               1.0        15       0.9151302
##    1.00   5         1.5               0.8         1       0.5157167
##    1.00   5         1.5               0.8         2       0.5157167
##    1.00   5         1.5               0.8         3       0.5157167
##    1.00   5         1.5               0.8         4       0.5157167
##    1.00   5         1.5               0.8         5       0.5157167
##    1.00   5         1.5               0.8         6       0.5157167
##    1.00   5         1.5               0.8         7       0.5157167
##    1.00   5         1.5               0.8         8       0.5157167
##    1.00   5         1.5               0.8         9       0.5157167
##    1.00   5         1.5               0.8        10       0.5157167
##    1.00   5         1.5               0.8        11       0.5157167
##    1.00   5         1.5               0.8        12       0.5157167
##    1.00   5         1.5               0.8        15       0.5157167
##    1.00   5         1.5               1.0         1       0.5157167
##    1.00   5         1.5               1.0         2       0.5157167
##    1.00   5         1.5               1.0         3       0.5157167
##    1.00   5         1.5               1.0         4       0.5157167
##    1.00   5         1.5               1.0         5       0.5157167
##    1.00   5         1.5               1.0         6       0.5157167
##    1.00   5         1.5               1.0         7       0.5157167
##    1.00   5         1.5               1.0         8       0.5157167
##    1.00   5         1.5               1.0         9       0.5157167
##    1.00   5         1.5               1.0        10       0.5157167
##    1.00   5         1.5               1.0        11       0.5157167
##    1.00   5         1.5               1.0        12       0.5157167
##    1.00   5         1.5               1.0        15       0.5157167
##    1.00   7         0.1               0.8         1       0.5876542
##    1.00   7         0.1               0.8         2       0.6194474
##    1.00   7         0.1               0.8         3       0.6187671
##    1.00   7         0.1               0.8         4       0.6252684
##    1.00   7         0.1               0.8         5       0.6368455
##    1.00   7         0.1               0.8         6       0.6451391
##    1.00   7         0.1               0.8         7       0.6342419
##    1.00   7         0.1               0.8         8       0.6327267
##    1.00   7         0.1               0.8         9       0.6273812
##    1.00   7         0.1               0.8        10       0.6240070
##    1.00   7         0.1               0.8        11       0.6342808
##    1.00   7         0.1               0.8        12       0.6362277
##    1.00   7         0.1               0.8        15       0.6224800
##    1.00   7         0.1               1.0         1       0.5922591
##    1.00   7         0.1               1.0         2       0.6413554
##    1.00   7         0.1               1.0         3       0.6456360
##    1.00   7         0.1               1.0         4       0.6375997
##    1.00   7         0.1               1.0         5       0.6405560
##    1.00   7         0.1               1.0         6       0.6417879
##    1.00   7         0.1               1.0         7       0.6457980
##    1.00   7         0.1               1.0         8       0.6439621
##    1.00   7         0.1               1.0         9       0.6400160
##    1.00   7         0.1               1.0        10       0.6414026
##    1.00   7         0.1               1.0        11       0.6404976
##    1.00   7         0.1               1.0        12       0.6388133
##    1.00   7         0.1               1.0        15       0.6401502
##    1.00   7         0.5               0.8         1       0.7576959
##    1.00   7         0.5               0.8         2       0.7734837
##    1.00   7         0.5               0.8         3       0.7851230
##    1.00   7         0.5               0.8         4       0.7892053
##    1.00   7         0.5               0.8         5       0.7942967
##    1.00   7         0.5               0.8         6       0.7952409
##    1.00   7         0.5               0.8         7       0.8041393
##    1.00   7         0.5               0.8         8       0.7999144
##    1.00   7         0.5               0.8         9       0.8009825
##    1.00   7         0.5               0.8        10       0.7985541
##    1.00   7         0.5               0.8        11       0.7944388
##    1.00   7         0.5               0.8        12       0.7981214
##    1.00   7         0.5               0.8        15       0.7988862
##    1.00   7         0.5               1.0         1       0.7593595
##    1.00   7         0.5               1.0         2       0.7909842
##    1.00   7         0.5               1.0         3       0.8138014
##    1.00   7         0.5               1.0         4       0.8224809
##    1.00   7         0.5               1.0         5       0.8213912
##    1.00   7         0.5               1.0         6       0.8221839
##    1.00   7         0.5               1.0         7       0.8212770
##    1.00   7         0.5               1.0         8       0.8247088
##    1.00   7         0.5               1.0         9       0.8215196
##    1.00   7         0.5               1.0        10       0.8222332
##    1.00   7         0.5               1.0        11       0.8256926
##    1.00   7         0.5               1.0        12       0.8251072
##    1.00   7         0.5               1.0        15       0.8205970
##    1.00   7         0.7               0.8         1       0.7720048
##    1.00   7         0.7               0.8         2       0.8082485
##    1.00   7         0.7               0.8         3       0.7982710
##    1.00   7         0.7               0.8         4       0.8037409
##    1.00   7         0.7               0.8         5       0.8159207
##    1.00   7         0.7               0.8         6       0.8201412
##    1.00   7         0.7               0.8         7       0.8280101
##    1.00   7         0.7               0.8         8       0.8331277
##    1.00   7         0.7               0.8         9       0.8374086
##    1.00   7         0.7               0.8        10       0.8361029
##    1.00   7         0.7               0.8        11       0.8393421
##    1.00   7         0.7               0.8        12       0.8391007
##    1.00   7         0.7               0.8        15       0.8399248
##    1.00   7         0.7               1.0         1       0.7619225
##    1.00   7         0.7               1.0         2       0.8192287
##    1.00   7         0.7               1.0         3       0.8345122
##    1.00   7         0.7               1.0         4       0.8537752
##    1.00   7         0.7               1.0         5       0.8602275
##    1.00   7         0.7               1.0         6       0.8569227
##    1.00   7         0.7               1.0         7       0.8642341
##    1.00   7         0.7               1.0         8       0.8642077
##    1.00   7         0.7               1.0         9       0.8689126
##    1.00   7         0.7               1.0        10       0.8705739
##    1.00   7         0.7               1.0        11       0.8709353
##    1.00   7         0.7               1.0        12       0.8725996
##    1.00   7         0.7               1.0        15       0.8731940
##    1.00   7         1.0               0.8         1       0.8136227
##    1.00   7         1.0               0.8         2       0.8507292
##    1.00   7         1.0               0.8         3       0.8697639
##    1.00   7         1.0               0.8         4       0.8781302
##    1.00   7         1.0               0.8         5       0.8772473
##    1.00   7         1.0               0.8         6       0.8865632
##    1.00   7         1.0               0.8         7       0.8921096
##    1.00   7         1.0               0.8         8       0.8953173
##    1.00   7         1.0               0.8         9       0.8969398
##    1.00   7         1.0               0.8        10       0.9026488
##    1.00   7         1.0               0.8        11       0.9047724
##    1.00   7         1.0               0.8        12       0.9040825
##    1.00   7         1.0               0.8        15       0.9075024
##    1.00   7         1.0               1.0         1       0.8136092
##    1.00   7         1.0               1.0         2       0.8672069
##    1.00   7         1.0               1.0         3       0.8719703
##    1.00   7         1.0               1.0         4       0.8838539
##    1.00   7         1.0               1.0         5       0.8825523
##    1.00   7         1.0               1.0         6       0.8850672
##    1.00   7         1.0               1.0         7       0.8835893
##    1.00   7         1.0               1.0         8       0.8851082
##    1.00   7         1.0               1.0         9       0.8875359
##    1.00   7         1.0               1.0        10       0.8898367
##    1.00   7         1.0               1.0        11       0.8890097
##    1.00   7         1.0               1.0        12       0.8923311
##    1.00   7         1.0               1.0        15       0.8962101
##    1.00   7         1.5               0.8         1       0.5157167
##    1.00   7         1.5               0.8         2       0.5157167
##    1.00   7         1.5               0.8         3       0.5157167
##    1.00   7         1.5               0.8         4       0.5157167
##    1.00   7         1.5               0.8         5       0.5157167
##    1.00   7         1.5               0.8         6       0.5157167
##    1.00   7         1.5               0.8         7       0.5157167
##    1.00   7         1.5               0.8         8       0.5157167
##    1.00   7         1.5               0.8         9       0.5157167
##    1.00   7         1.5               0.8        10       0.5157167
##    1.00   7         1.5               0.8        11       0.5157167
##    1.00   7         1.5               0.8        12       0.5157167
##    1.00   7         1.5               0.8        15       0.5157167
##    1.00   7         1.5               1.0         1       0.5157167
##    1.00   7         1.5               1.0         2       0.5157167
##    1.00   7         1.5               1.0         3       0.5157167
##    1.00   7         1.5               1.0         4       0.5157167
##    1.00   7         1.5               1.0         5       0.5157167
##    1.00   7         1.5               1.0         6       0.5157167
##    1.00   7         1.5               1.0         7       0.5157167
##    1.00   7         1.5               1.0         8       0.5157167
##    1.00   7         1.5               1.0         9       0.5157167
##    1.00   7         1.5               1.0        10       0.5157167
##    1.00   7         1.5               1.0        11       0.5157167
##    1.00   7         1.5               1.0        12       0.5157167
##    1.00   7         1.5               1.0        15       0.5157167
##    1.00   9         0.1               0.8         1       0.6121743
##    1.00   9         0.1               0.8         2       0.6324658
##    1.00   9         0.1               0.8         3       0.6269865
##    1.00   9         0.1               0.8         4       0.6374631
##    1.00   9         0.1               0.8         5       0.6317809
##    1.00   9         0.1               0.8         6       0.6375054
##    1.00   9         0.1               0.8         7       0.6321361
##    1.00   9         0.1               0.8         8       0.6392772
##    1.00   9         0.1               0.8         9       0.6391596
##    1.00   9         0.1               0.8        10       0.6385364
##    1.00   9         0.1               0.8        11       0.6347148
##    1.00   9         0.1               0.8        12       0.6380056
##    1.00   9         0.1               0.8        15       0.6337540
##    1.00   9         0.1               1.0         1       0.5922591
##    1.00   9         0.1               1.0         2       0.6430518
##    1.00   9         0.1               1.0         3       0.6426503
##    1.00   9         0.1               1.0         4       0.6444712
##    1.00   9         0.1               1.0         5       0.6472764
##    1.00   9         0.1               1.0         6       0.6484879
##    1.00   9         0.1               1.0         7       0.6465094
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##    1.00   9         0.1               1.0         9       0.6430212
##    1.00   9         0.1               1.0        10       0.6421530
##    1.00   9         0.1               1.0        11       0.6414875
##    1.00   9         0.1               1.0        12       0.6391223
##    1.00   9         0.1               1.0        15       0.6366046
##    1.00   9         0.5               0.8         1       0.7591204
##    1.00   9         0.5               0.8         2       0.7981612
##    1.00   9         0.5               0.8         3       0.8035294
##    1.00   9         0.5               0.8         4       0.8140792
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##    1.00   9         0.5               0.8         7       0.8056122
##    1.00   9         0.5               0.8         8       0.8072499
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##    1.00   9         0.5               0.8        10       0.8259803
##    1.00   9         0.5               0.8        11       0.8289025
##    1.00   9         0.5               0.8        12       0.8287201
##    1.00   9         0.5               0.8        15       0.8280420
##    1.00   9         0.5               1.0         1       0.7620466
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##    1.00   9         0.5               1.0         3       0.7987147
##    1.00   9         0.5               1.0         4       0.8113716
##    1.00   9         0.5               1.0         5       0.8198342
##    1.00   9         0.5               1.0         6       0.8226479
##    1.00   9         0.5               1.0         7       0.8264848
##    1.00   9         0.5               1.0         8       0.8319388
##    1.00   9         0.5               1.0         9       0.8322799
##    1.00   9         0.5               1.0        10       0.8298911
##    1.00   9         0.5               1.0        11       0.8276589
##    1.00   9         0.5               1.0        12       0.8325441
##    1.00   9         0.5               1.0        15       0.8282697
##    1.00   9         0.7               0.8         1       0.7730378
##    1.00   9         0.7               0.8         2       0.8133805
##    1.00   9         0.7               0.8         3       0.8164432
##    1.00   9         0.7               0.8         4       0.8350164
##    1.00   9         0.7               0.8         5       0.8489110
##    1.00   9         0.7               0.8         6       0.8593581
##    1.00   9         0.7               0.8         7       0.8620555
##    1.00   9         0.7               0.8         8       0.8592602
##    1.00   9         0.7               0.8         9       0.8630843
##    1.00   9         0.7               0.8        10       0.8627947
##    1.00   9         0.7               0.8        11       0.8658610
##    1.00   9         0.7               0.8        12       0.8638919
##    1.00   9         0.7               0.8        15       0.8706820
##    1.00   9         0.7               1.0         1       0.7662170
##    1.00   9         0.7               1.0         2       0.8189464
##    1.00   9         0.7               1.0         3       0.8384337
##    1.00   9         0.7               1.0         4       0.8373194
##    1.00   9         0.7               1.0         5       0.8438930
##    1.00   9         0.7               1.0         6       0.8477513
##    1.00   9         0.7               1.0         7       0.8511885
##    1.00   9         0.7               1.0         8       0.8581866
##    1.00   9         0.7               1.0         9       0.8604042
##    1.00   9         0.7               1.0        10       0.8569407
##    1.00   9         0.7               1.0        11       0.8549557
##    1.00   9         0.7               1.0        12       0.8522876
##    1.00   9         0.7               1.0        15       0.8584937
##    1.00   9         1.0               0.8         1       0.8136751
##    1.00   9         1.0               0.8         2       0.8496005
##    1.00   9         1.0               0.8         3       0.8750658
##    1.00   9         1.0               0.8         4       0.8739469
##    1.00   9         1.0               0.8         5       0.8826381
##    1.00   9         1.0               0.8         6       0.8827886
##    1.00   9         1.0               0.8         7       0.8946507
##    1.00   9         1.0               0.8         8       0.8942850
##    1.00   9         1.0               0.8         9       0.8936270
##    1.00   9         1.0               0.8        10       0.8932007
##    1.00   9         1.0               0.8        11       0.8957268
##    1.00   9         1.0               0.8        12       0.8956408
##    1.00   9         1.0               0.8        15       0.8958609
##    1.00   9         1.0               1.0         1       0.8133229
##    1.00   9         1.0               1.0         2       0.8548115
##    1.00   9         1.0               1.0         3       0.8728979
##    1.00   9         1.0               1.0         4       0.8781001
##    1.00   9         1.0               1.0         5       0.8838980
##    1.00   9         1.0               1.0         6       0.8901215
##    1.00   9         1.0               1.0         7       0.8946672
##    1.00   9         1.0               1.0         8       0.8954297
##    1.00   9         1.0               1.0         9       0.8937388
##    1.00   9         1.0               1.0        10       0.8951396
##    1.00   9         1.0               1.0        11       0.8963693
##    1.00   9         1.0               1.0        12       0.8991713
##    1.00   9         1.0               1.0        15       0.9006916
##    1.00   9         1.5               0.8         1       0.5157167
##    1.00   9         1.5               0.8         2       0.5157167
##    1.00   9         1.5               0.8         3       0.5157167
##    1.00   9         1.5               0.8         4       0.5157167
##    1.00   9         1.5               0.8         5       0.5157167
##    1.00   9         1.5               0.8         6       0.5157167
##    1.00   9         1.5               0.8         7       0.5157167
##    1.00   9         1.5               0.8         8       0.5157167
##    1.00   9         1.5               0.8         9       0.5157167
##    1.00   9         1.5               0.8        10       0.5157167
##    1.00   9         1.5               0.8        11       0.5157167
##    1.00   9         1.5               0.8        12       0.5157167
##    1.00   9         1.5               0.8        15       0.5157167
##    1.00   9         1.5               1.0         1       0.5157167
##    1.00   9         1.5               1.0         2       0.5157167
##    1.00   9         1.5               1.0         3       0.5157167
##    1.00   9         1.5               1.0         4       0.5157167
##    1.00   9         1.5               1.0         5       0.5157167
##    1.00   9         1.5               1.0         6       0.5157167
##    1.00   9         1.5               1.0         7       0.5157167
##    1.00   9         1.5               1.0         8       0.5157167
##    1.00   9         1.5               1.0         9       0.5157167
##    1.00   9         1.5               1.0        10       0.5157167
##    1.00   9         1.5               1.0        11       0.5157167
##    1.00   9         1.5               1.0        12       0.5157167
##    1.00   9         1.5               1.0        15       0.5157167
##    1.00  11         0.1               0.8         1       0.5954225
##    1.00  11         0.1               0.8         2       0.6261203
##    1.00  11         0.1               0.8         3       0.6363626
##    1.00  11         0.1               0.8         4       0.6340314
##    1.00  11         0.1               0.8         5       0.6410376
##    1.00  11         0.1               0.8         6       0.6338799
##    1.00  11         0.1               0.8         7       0.6258216
##    1.00  11         0.1               0.8         8       0.6385367
##    1.00  11         0.1               0.8         9       0.6442851
##    1.00  11         0.1               0.8        10       0.6242153
##    1.00  11         0.1               0.8        11       0.6313951
##    1.00  11         0.1               0.8        12       0.6193104
##    1.00  11         0.1               0.8        15       0.6328558
##    1.00  11         0.1               1.0         1       0.5922591
##    1.00  11         0.1               1.0         2       0.6393999
##    1.00  11         0.1               1.0         3       0.6431178
##    1.00  11         0.1               1.0         4       0.6450180
##    1.00  11         0.1               1.0         5       0.6474505
##    1.00  11         0.1               1.0         6       0.6462153
##    1.00  11         0.1               1.0         7       0.6425898
##    1.00  11         0.1               1.0         8       0.6446466
##    1.00  11         0.1               1.0         9       0.6394091
##    1.00  11         0.1               1.0        10       0.6386261
##    1.00  11         0.1               1.0        11       0.6397985
##    1.00  11         0.1               1.0        12       0.6387380
##    1.00  11         0.1               1.0        15       0.6373576
##    1.00  11         0.5               0.8         1       0.7586497
##    1.00  11         0.5               0.8         2       0.7742494
##    1.00  11         0.5               0.8         3       0.7780046
##    1.00  11         0.5               0.8         4       0.7977301
##    1.00  11         0.5               0.8         5       0.7976488
##    1.00  11         0.5               0.8         6       0.7931704
##    1.00  11         0.5               0.8         7       0.7961076
##    1.00  11         0.5               0.8         8       0.8003615
##    1.00  11         0.5               0.8         9       0.7984845
##    1.00  11         0.5               0.8        10       0.7984073
##    1.00  11         0.5               0.8        11       0.8048410
##    1.00  11         0.5               0.8        12       0.8056140
##    1.00  11         0.5               0.8        15       0.8003257
##    1.00  11         0.5               1.0         1       0.7639249
##    1.00  11         0.5               1.0         2       0.7871907
##    1.00  11         0.5               1.0         3       0.8055709
##    1.00  11         0.5               1.0         4       0.8246033
##    1.00  11         0.5               1.0         5       0.8341454
##    1.00  11         0.5               1.0         6       0.8392924
##    1.00  11         0.5               1.0         7       0.8348720
##    1.00  11         0.5               1.0         8       0.8304268
##    1.00  11         0.5               1.0         9       0.8283774
##    1.00  11         0.5               1.0        10       0.8299274
##    1.00  11         0.5               1.0        11       0.8350921
##    1.00  11         0.5               1.0        12       0.8331776
##    1.00  11         0.5               1.0        15       0.8332532
##    1.00  11         0.7               0.8         1       0.7681214
##    1.00  11         0.7               0.8         2       0.8077325
##    1.00  11         0.7               0.8         3       0.8350271
##    1.00  11         0.7               0.8         4       0.8469037
##    1.00  11         0.7               0.8         5       0.8501288
##    1.00  11         0.7               0.8         6       0.8578838
##    1.00  11         0.7               0.8         7       0.8590313
##    1.00  11         0.7               0.8         8       0.8652437
##    1.00  11         0.7               0.8         9       0.8667347
##    1.00  11         0.7               0.8        10       0.8648499
##    1.00  11         0.7               0.8        11       0.8665264
##    1.00  11         0.7               0.8        12       0.8707947
##    1.00  11         0.7               0.8        15       0.8702996
##    1.00  11         0.7               1.0         1       0.7661466
##    1.00  11         0.7               1.0         2       0.8117945
##    1.00  11         0.7               1.0         3       0.8495711
##    1.00  11         0.7               1.0         4       0.8454437
##    1.00  11         0.7               1.0         5       0.8535080
##    1.00  11         0.7               1.0         6       0.8558356
##    1.00  11         0.7               1.0         7       0.8615452
##    1.00  11         0.7               1.0         8       0.8628222
##    1.00  11         0.7               1.0         9       0.8651969
##    1.00  11         0.7               1.0        10       0.8667452
##    1.00  11         0.7               1.0        11       0.8699302
##    1.00  11         0.7               1.0        12       0.8674292
##    1.00  11         0.7               1.0        15       0.8710177
##    1.00  11         1.0               0.8         1       0.7968503
##    1.00  11         1.0               0.8         2       0.8315085
##    1.00  11         1.0               0.8         3       0.8598292
##    1.00  11         1.0               0.8         4       0.8651428
##    1.00  11         1.0               0.8         5       0.8778125
##    1.00  11         1.0               0.8         6       0.8847907
##    1.00  11         1.0               0.8         7       0.8875113
##    1.00  11         1.0               0.8         8       0.8854774
##    1.00  11         1.0               0.8         9       0.8876707
##    1.00  11         1.0               0.8        10       0.8830019
##    1.00  11         1.0               0.8        11       0.8864704
##    1.00  11         1.0               0.8        12       0.8864202
##    1.00  11         1.0               0.8        15       0.8874974
##    1.00  11         1.0               1.0         1       0.8133229
##    1.00  11         1.0               1.0         2       0.8526458
##    1.00  11         1.0               1.0         3       0.8705346
##    1.00  11         1.0               1.0         4       0.8793828
##    1.00  11         1.0               1.0         5       0.8860169
##    1.00  11         1.0               1.0         6       0.8917606
##    1.00  11         1.0               1.0         7       0.8968235
##    1.00  11         1.0               1.0         8       0.8992142
##    1.00  11         1.0               1.0         9       0.8988238
##    1.00  11         1.0               1.0        10       0.8971492
##    1.00  11         1.0               1.0        11       0.8990094
##    1.00  11         1.0               1.0        12       0.8982055
##    1.00  11         1.0               1.0        15       0.9004111
##    1.00  11         1.5               0.8         1       0.5157167
##    1.00  11         1.5               0.8         2       0.5157167
##    1.00  11         1.5               0.8         3       0.5157167
##    1.00  11         1.5               0.8         4       0.5157167
##    1.00  11         1.5               0.8         5       0.5157167
##    1.00  11         1.5               0.8         6       0.5157167
##    1.00  11         1.5               0.8         7       0.5157167
##    1.00  11         1.5               0.8         8       0.5157167
##    1.00  11         1.5               0.8         9       0.5157167
##    1.00  11         1.5               0.8        10       0.5157167
##    1.00  11         1.5               0.8        11       0.5157167
##    1.00  11         1.5               0.8        12       0.5157167
##    1.00  11         1.5               0.8        15       0.5157167
##    1.00  11         1.5               1.0         1       0.5157167
##    1.00  11         1.5               1.0         2       0.5157167
##    1.00  11         1.5               1.0         3       0.5157167
##    1.00  11         1.5               1.0         4       0.5157167
##    1.00  11         1.5               1.0         5       0.5157167
##    1.00  11         1.5               1.0         6       0.5157167
##    1.00  11         1.5               1.0         7       0.5157167
##    1.00  11         1.5               1.0         8       0.5157167
##    1.00  11         1.5               1.0         9       0.5157167
##    1.00  11         1.5               1.0        10       0.5157167
##    1.00  11         1.5               1.0        11       0.5157167
##    1.00  11         1.5               1.0        12       0.5157167
##    1.00  11         1.5               1.0        15       0.5157167
##    1.00  13         0.1               0.8         1       0.6111082
##    1.00  13         0.1               0.8         2       0.6411976
##    1.00  13         0.1               0.8         3       0.6434348
##    1.00  13         0.1               0.8         4       0.6414942
##    1.00  13         0.1               0.8         5       0.6393234
##    1.00  13         0.1               0.8         6       0.6395058
##    1.00  13         0.1               0.8         7       0.6386627
##    1.00  13         0.1               0.8         8       0.6421308
##    1.00  13         0.1               0.8         9       0.6305572
##    1.00  13         0.1               0.8        10       0.6388206
##    1.00  13         0.1               0.8        11       0.6424442
##    1.00  13         0.1               0.8        12       0.6396962
##    1.00  13         0.1               0.8        15       0.6236599
##    1.00  13         0.1               1.0         1       0.5922591
##    1.00  13         0.1               1.0         2       0.6429653
##    1.00  13         0.1               1.0         3       0.6435213
##    1.00  13         0.1               1.0         4       0.6454350
##    1.00  13         0.1               1.0         5       0.6460741
##    1.00  13         0.1               1.0         6       0.6435649
##    1.00  13         0.1               1.0         7       0.6447990
##    1.00  13         0.1               1.0         8       0.6391330
##    1.00  13         0.1               1.0         9       0.6425120
##    1.00  13         0.1               1.0        10       0.6390385
##    1.00  13         0.1               1.0        11       0.6392470
##    1.00  13         0.1               1.0        12       0.6385687
##    1.00  13         0.1               1.0        15       0.6399122
##    1.00  13         0.5               0.8         1       0.7768518
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##    1.00  13         0.5               0.8         3       0.8051609
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##    1.00  13         0.5               0.8        11       0.8443291
##    1.00  13         0.5               0.8        12       0.8493762
##    1.00  13         0.5               0.8        15       0.8462908
##    1.00  13         0.5               1.0         1       0.7642890
##    1.00  13         0.5               1.0         2       0.7864318
##    1.00  13         0.5               1.0         3       0.8021298
##    1.00  13         0.5               1.0         4       0.8268296
##    1.00  13         0.5               1.0         5       0.8246922
##    1.00  13         0.5               1.0         6       0.8315070
##    1.00  13         0.5               1.0         7       0.8364157
##    1.00  13         0.5               1.0         8       0.8344000
##    1.00  13         0.5               1.0         9       0.8301309
##    1.00  13         0.5               1.0        10       0.8368054
##    1.00  13         0.5               1.0        11       0.8368150
##    1.00  13         0.5               1.0        12       0.8398671
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##    1.00  13         0.7               0.8         1       0.7319701
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##    1.00  13         0.7               0.8         3       0.8121651
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##    1.00  13         0.7               0.8         5       0.8305755
##    1.00  13         0.7               0.8         6       0.8403876
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##    1.00  13         0.7               0.8         8       0.8506293
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##    1.00  13         0.7               0.8        10       0.8528755
##    1.00  13         0.7               0.8        11       0.8494091
##    1.00  13         0.7               0.8        12       0.8521667
##    1.00  13         0.7               0.8        15       0.8543389
##    1.00  13         0.7               1.0         1       0.7662609
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##    1.00  13         0.7               1.0         3       0.8535996
##    1.00  13         0.7               1.0         4       0.8576895
##    1.00  13         0.7               1.0         5       0.8618058
##    1.00  13         0.7               1.0         6       0.8657663
##    1.00  13         0.7               1.0         7       0.8688215
##    1.00  13         0.7               1.0         8       0.8741179
##    1.00  13         0.7               1.0         9       0.8772892
##    1.00  13         0.7               1.0        10       0.8792814
##    1.00  13         0.7               1.0        11       0.8797082
##    1.00  13         0.7               1.0        12       0.8813014
##    1.00  13         0.7               1.0        15       0.8792940
##    1.00  13         1.0               0.8         1       0.7947706
##    1.00  13         1.0               0.8         2       0.8386508
##    1.00  13         1.0               0.8         3       0.8627972
##    1.00  13         1.0               0.8         4       0.8779793
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##    1.00  13         1.0               0.8         6       0.8908332
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##    1.00  13         1.0               0.8         9       0.8943288
##    1.00  13         1.0               0.8        10       0.8932394
##    1.00  13         1.0               0.8        11       0.8978502
##    1.00  13         1.0               0.8        12       0.8988316
##    1.00  13         1.0               0.8        15       0.9050556
##    1.00  13         1.0               1.0         1       0.8133229
##    1.00  13         1.0               1.0         2       0.8526458
##    1.00  13         1.0               1.0         3       0.8705346
##    1.00  13         1.0               1.0         4       0.8799237
##    1.00  13         1.0               1.0         5       0.8838234
##    1.00  13         1.0               1.0         6       0.8915456
##    1.00  13         1.0               1.0         7       0.8953771
##    1.00  13         1.0               1.0         8       0.8988017
##    1.00  13         1.0               1.0         9       0.9011186
##    1.00  13         1.0               1.0        10       0.8989060
##    1.00  13         1.0               1.0        11       0.9014850
##    1.00  13         1.0               1.0        12       0.9020131
##    1.00  13         1.0               1.0        15       0.9039929
##    1.00  13         1.5               0.8         1       0.5157167
##    1.00  13         1.5               0.8         2       0.5157167
##    1.00  13         1.5               0.8         3       0.5157167
##    1.00  13         1.5               0.8         4       0.5157167
##    1.00  13         1.5               0.8         5       0.5157167
##    1.00  13         1.5               0.8         6       0.5157167
##    1.00  13         1.5               0.8         7       0.5157167
##    1.00  13         1.5               0.8         8       0.5157167
##    1.00  13         1.5               0.8         9       0.5157167
##    1.00  13         1.5               0.8        10       0.5157167
##    1.00  13         1.5               0.8        11       0.5157167
##    1.00  13         1.5               0.8        12       0.5157167
##    1.00  13         1.5               0.8        15       0.5157167
##    1.00  13         1.5               1.0         1       0.5157167
##    1.00  13         1.5               1.0         2       0.5157167
##    1.00  13         1.5               1.0         3       0.5157167
##    1.00  13         1.5               1.0         4       0.5157167
##    1.00  13         1.5               1.0         5       0.5157167
##    1.00  13         1.5               1.0         6       0.5157167
##    1.00  13         1.5               1.0         7       0.5157167
##    1.00  13         1.5               1.0         8       0.5157167
##    1.00  13         1.5               1.0         9       0.5157167
##    1.00  13         1.5               1.0        10       0.5157167
##    1.00  13         1.5               1.0        11       0.5157167
##    1.00  13         1.5               1.0        12       0.5157167
##    1.00  13         1.5               1.0        15       0.5157167
##    1.00  15         0.1               0.8         1       0.5888288
##    1.00  15         0.1               0.8         2       0.6176997
##    1.00  15         0.1               0.8         3       0.6349974
##    1.00  15         0.1               0.8         4       0.6468751
##    1.00  15         0.1               0.8         5       0.6426950
##    1.00  15         0.1               0.8         6       0.6384252
##    1.00  15         0.1               0.8         7       0.6566844
##    1.00  15         0.1               0.8         8       0.6490434
##    1.00  15         0.1               0.8         9       0.6446591
##    1.00  15         0.1               0.8        10       0.6459449
##    1.00  15         0.1               0.8        11       0.6402715
##    1.00  15         0.1               0.8        12       0.6274291
##    1.00  15         0.1               0.8        15       0.6214987
##    1.00  15         0.1               1.0         1       0.5922591
##    1.00  15         0.1               1.0         2       0.6436529
##    1.00  15         0.1               1.0         3       0.6440641
##    1.00  15         0.1               1.0         4       0.6474946
##    1.00  15         0.1               1.0         5       0.6425838
##    1.00  15         0.1               1.0         6       0.6433026
##    1.00  15         0.1               1.0         7       0.6444787
##    1.00  15         0.1               1.0         8       0.6402809
##    1.00  15         0.1               1.0         9       0.6413338
##    1.00  15         0.1               1.0        10       0.6396060
##    1.00  15         0.1               1.0        11       0.6397703
##    1.00  15         0.1               1.0        12       0.6403921
##    1.00  15         0.1               1.0        15       0.6411158
##    1.00  15         0.5               0.8         1       0.7716204
##    1.00  15         0.5               0.8         2       0.7955871
##    1.00  15         0.5               0.8         3       0.8003672
##    1.00  15         0.5               0.8         4       0.8083270
##    1.00  15         0.5               0.8         5       0.8145712
##    1.00  15         0.5               0.8         6       0.8128407
##    1.00  15         0.5               0.8         7       0.8083119
##    1.00  15         0.5               0.8         8       0.8112302
##    1.00  15         0.5               0.8         9       0.8134036
##    1.00  15         0.5               0.8        10       0.8191366
##    1.00  15         0.5               0.8        11       0.8243459
##    1.00  15         0.5               0.8        12       0.8222802
##    1.00  15         0.5               0.8        15       0.8283542
##    1.00  15         0.5               1.0         1       0.7642890
##    1.00  15         0.5               1.0         2       0.7858651
##    1.00  15         0.5               1.0         3       0.8050017
##    1.00  15         0.5               1.0         4       0.8303586
##    1.00  15         0.5               1.0         5       0.8309085
##    1.00  15         0.5               1.0         6       0.8364379
##    1.00  15         0.5               1.0         7       0.8389049
##    1.00  15         0.5               1.0         8       0.8439706
##    1.00  15         0.5               1.0         9       0.8401855
##    1.00  15         0.5               1.0        10       0.8398603
##    1.00  15         0.5               1.0        11       0.8394213
##    1.00  15         0.5               1.0        12       0.8436291
##    1.00  15         0.5               1.0        15       0.8461384
##    1.00  15         0.7               0.8         1       0.7574021
##    1.00  15         0.7               0.8         2       0.8219531
##    1.00  15         0.7               0.8         3       0.8323013
##    1.00  15         0.7               0.8         4       0.8337240
##    1.00  15         0.7               0.8         5       0.8315042
##    1.00  15         0.7               0.8         6       0.8433501
##    1.00  15         0.7               0.8         7       0.8389569
##    1.00  15         0.7               0.8         8       0.8339494
##    1.00  15         0.7               0.8         9       0.8315883
##    1.00  15         0.7               0.8        10       0.8355756
##    1.00  15         0.7               0.8        11       0.8346341
##    1.00  15         0.7               0.8        12       0.8341832
##    1.00  15         0.7               0.8        15       0.8309673
##    1.00  15         0.7               1.0         1       0.7662609
##    1.00  15         0.7               1.0         2       0.8124709
##    1.00  15         0.7               1.0         3       0.8535996
##    1.00  15         0.7               1.0         4       0.8576895
##    1.00  15         0.7               1.0         5       0.8614151
##    1.00  15         0.7               1.0         6       0.8672687
##    1.00  15         0.7               1.0         7       0.8711352
##    1.00  15         0.7               1.0         8       0.8743883
##    1.00  15         0.7               1.0         9       0.8785512
##    1.00  15         0.7               1.0        10       0.8824665
##    1.00  15         0.7               1.0        11       0.8828332
##    1.00  15         0.7               1.0        12       0.8837053
##    1.00  15         0.7               1.0        15       0.8838012
##    1.00  15         1.0               0.8         1       0.8370440
##    1.00  15         1.0               0.8         2       0.8606211
##    1.00  15         1.0               0.8         3       0.8739398
##    1.00  15         1.0               0.8         4       0.8919998
##    1.00  15         1.0               0.8         5       0.8933216
##    1.00  15         1.0               0.8         6       0.8960550
##    1.00  15         1.0               0.8         7       0.8913554
##    1.00  15         1.0               0.8         8       0.8919438
##    1.00  15         1.0               0.8         9       0.8939386
##    1.00  15         1.0               0.8        10       0.8977224
##    1.00  15         1.0               0.8        11       0.9004213
##    1.00  15         1.0               0.8        12       0.9013624
##    1.00  15         1.0               0.8        15       0.8942125
##    1.00  15         1.0               1.0         1       0.8133229
##    1.00  15         1.0               1.0         2       0.8526458
##    1.00  15         1.0               1.0         3       0.8705346
##    1.00  15         1.0               1.0         4       0.8799838
##    1.00  15         1.0               1.0         5       0.8838234
##    1.00  15         1.0               1.0         6       0.8924470
##    1.00  15         1.0               1.0         7       0.8965790
##    1.00  15         1.0               1.0         8       0.8993726
##    1.00  15         1.0               1.0         9       0.9017796
##    1.00  15         1.0               1.0        10       0.9021512
##    1.00  15         1.0               1.0        11       0.9041292
##    1.00  15         1.0               1.0        12       0.9032752
##    1.00  15         1.0               1.0        15       0.9062766
##    1.00  15         1.5               0.8         1       0.5157167
##    1.00  15         1.5               0.8         2       0.5157167
##    1.00  15         1.5               0.8         3       0.5157167
##    1.00  15         1.5               0.8         4       0.5157167
##    1.00  15         1.5               0.8         5       0.5157167
##    1.00  15         1.5               0.8         6       0.5157167
##    1.00  15         1.5               0.8         7       0.5157167
##    1.00  15         1.5               0.8         8       0.5157167
##    1.00  15         1.5               0.8         9       0.5157167
##    1.00  15         1.5               0.8        10       0.5157167
##    1.00  15         1.5               0.8        11       0.5157167
##    1.00  15         1.5               0.8        12       0.5157167
##    1.00  15         1.5               0.8        15       0.5157167
##    1.00  15         1.5               1.0         1       0.5157167
##    1.00  15         1.5               1.0         2       0.5157167
##    1.00  15         1.5               1.0         3       0.5157167
##    1.00  15         1.5               1.0         4       0.5157167
##    1.00  15         1.5               1.0         5       0.5157167
##    1.00  15         1.5               1.0         6       0.5157167
##    1.00  15         1.5               1.0         7       0.5157167
##    1.00  15         1.5               1.0         8       0.5157167
##    1.00  15         1.5               1.0         9       0.5157167
##    1.00  15         1.5               1.0        10       0.5157167
##    1.00  15         1.5               1.0        11       0.5157167
##    1.00  15         1.5               1.0        12       0.5157167
##    1.00  15         1.5               1.0        15       0.5157167
##    1.00  17         0.1               0.8         1       0.5943822
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##    1.00  17         0.1               0.8         3       0.6349467
##    1.00  17         0.1               0.8         4       0.6343080
##    1.00  17         0.1               0.8         5       0.6293588
##    1.00  17         0.1               0.8         6       0.6271120
##    1.00  17         0.1               0.8         7       0.6321196
##    1.00  17         0.1               0.8         8       0.6152538
##    1.00  17         0.1               0.8         9       0.6217780
##    1.00  17         0.1               0.8        10       0.6421299
##    1.00  17         0.1               0.8        11       0.6365772
##    1.00  17         0.1               0.8        12       0.6344918
##    1.00  17         0.1               0.8        15       0.6333574
##    1.00  17         0.1               1.0         1       0.5922591
##    1.00  17         0.1               1.0         2       0.6436529
##    1.00  17         0.1               1.0         3       0.6435668
##    1.00  17         0.1               1.0         4       0.6445087
##    1.00  17         0.1               1.0         5       0.6455702
##    1.00  17         0.1               1.0         6       0.6443677
##    1.00  17         0.1               1.0         7       0.6451145
##    1.00  17         0.1               1.0         8       0.6406473
##    1.00  17         0.1               1.0         9       0.6436638
##    1.00  17         0.1               1.0        10       0.6409444
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##    1.00  17         0.1               1.0        15       0.6426245
##    1.00  17         0.5               0.8         1       0.7654307
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##    1.00  17         0.5               0.8         3       0.7940273
##    1.00  17         0.5               0.8         4       0.8134462
##    1.00  17         0.5               0.8         5       0.8112706
##    1.00  17         0.5               0.8         6       0.8094977
##    1.00  17         0.5               0.8         7       0.8096488
##    1.00  17         0.5               0.8         8       0.8145291
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##    1.00  17         0.5               0.8        11       0.8214342
##    1.00  17         0.5               0.8        12       0.8208183
##    1.00  17         0.5               0.8        15       0.8230276
##    1.00  17         0.5               1.0         1       0.7642890
##    1.00  17         0.5               1.0         2       0.7858651
##    1.00  17         0.5               1.0         3       0.8050017
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##    1.00  17         0.5               1.0         5       0.8324103
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##    1.00  17         0.5               1.0         9       0.8415959
##    1.00  17         0.5               1.0        10       0.8458922
##    1.00  17         0.5               1.0        11       0.8452237
##    1.00  17         0.5               1.0        12       0.8484105
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##    1.00  17         0.7               0.8         1       0.7502340
##    1.00  17         0.7               0.8         2       0.8210733
##    1.00  17         0.7               0.8         3       0.8324589
##    1.00  17         0.7               0.8         4       0.8458402
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##    1.00  17         0.7               0.8        10       0.8493929
##    1.00  17         0.7               0.8        11       0.8491466
##    1.00  17         0.7               0.8        12       0.8487633
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##    1.00  17         0.7               1.0         1       0.7662609
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##    1.00  17         0.7               1.0         3       0.8535996
##    1.00  17         0.7               1.0         4       0.8576895
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##    1.00  17         0.7               1.0         6       0.8672687
##    1.00  17         0.7               1.0         7       0.8711352
##    1.00  17         0.7               1.0         8       0.8743883
##    1.00  17         0.7               1.0         9       0.8785512
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##    1.00  17         0.7               1.0        11       0.8828332
##    1.00  17         0.7               1.0        12       0.8837053
##    1.00  17         0.7               1.0        15       0.8838012
##    1.00  17         1.0               0.8         1       0.8183338
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##    1.00  17         1.0               1.0         1       0.8133229
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##    1.00  17         1.0               1.0         3       0.8705346
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##    1.00  17         1.0               1.0         9       0.9017796
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##    1.00  17         1.0               1.0        11       0.9041292
##    1.00  17         1.0               1.0        12       0.9032752
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##    1.00  17         1.5               0.8         1       0.5157167
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##    1.00  17         1.5               0.8         8       0.5157167
##    1.00  17         1.5               0.8         9       0.5157167
##    1.00  17         1.5               0.8        10       0.5157167
##    1.00  17         1.5               0.8        11       0.5157167
##    1.00  17         1.5               0.8        12       0.5157167
##    1.00  17         1.5               0.8        15       0.5157167
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##    1.00  17         1.5               1.0         5       0.5157167
##    1.00  17         1.5               1.0         6       0.5157167
##    1.00  17         1.5               1.0         7       0.5157167
##    1.00  17         1.5               1.0         8       0.5157167
##    1.00  17         1.5               1.0         9       0.5157167
##    1.00  17         1.5               1.0        10       0.5157167
##    1.00  17         1.5               1.0        11       0.5157167
##    1.00  17         1.5               1.0        12       0.5157167
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##    5.00   3         0.1               0.8         1       0.5937459
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##    5.00   3         0.1               0.8         3       0.4950792
##    5.00   3         0.1               0.8         4       0.4950792
##    5.00   3         0.1               0.8         5       0.4950792
##    5.00   3         0.1               0.8         6       0.4950792
##    5.00   3         0.1               0.8         7       0.4950792
##    5.00   3         0.1               0.8         8       0.4950792
##    5.00   3         0.1               0.8         9       0.4950792
##    5.00   3         0.1               0.8        10       0.4950792
##    5.00   3         0.1               0.8        11       0.4950792
##    5.00   3         0.1               0.8        12       0.4950792
##    5.00   3         0.1               0.8        15       0.4950792
##    5.00   3         0.1               1.0         1       0.5916849
##    5.00   3         0.1               1.0         2       0.4790660
##    5.00   3         0.1               1.0         3       0.5163331
##    5.00   3         0.1               1.0         4       0.5163331
##    5.00   3         0.1               1.0         5       0.5163331
##    5.00   3         0.1               1.0         6       0.5163331
##    5.00   3         0.1               1.0         7       0.5163331
##    5.00   3         0.1               1.0         8       0.5163331
##    5.00   3         0.1               1.0         9       0.5163331
##    5.00   3         0.1               1.0        10       0.5163331
##    5.00   3         0.1               1.0        11       0.5163331
##    5.00   3         0.1               1.0        12       0.5163331
##    5.00   3         0.1               1.0        15       0.5163331
##    5.00   3         0.5               0.8         1       0.7179116
##    5.00   3         0.5               0.8         2       0.3849496
##    5.00   3         0.5               0.8         3       0.5772106
##    5.00   3         0.5               0.8         4       0.5737906
##    5.00   3         0.5               0.8         5       0.5737906
##    5.00   3         0.5               0.8         6       0.5737906
##    5.00   3         0.5               0.8         7       0.5737906
##    5.00   3         0.5               0.8         8       0.5737906
##    5.00   3         0.5               0.8         9       0.5737906
##    5.00   3         0.5               0.8        10       0.5737906
##    5.00   3         0.5               0.8        11       0.5737906
##    5.00   3         0.5               0.8        12       0.5737906
##    5.00   3         0.5               0.8        15       0.5737906
##    5.00   3         0.5               1.0         1       0.7159431
##    5.00   3         0.5               1.0         2       0.3721298
##    5.00   3         0.5               1.0         3       0.6057989
##    5.00   3         0.5               1.0         4       0.6164635
##    5.00   3         0.5               1.0         5       0.6115657
##    5.00   3         0.5               1.0         6       0.6072548
##    5.00   3         0.5               1.0         7       0.6046106
##    5.00   3         0.5               1.0         8       0.6046106
##    5.00   3         0.5               1.0         9       0.6046106
##    5.00   3         0.5               1.0        10       0.6046106
##    5.00   3         0.5               1.0        11       0.6046106
##    5.00   3         0.5               1.0        12       0.6046106
##    5.00   3         0.5               1.0        15       0.6046106
##    5.00   3         0.7               0.8         1       0.6811253
##    5.00   3         0.7               0.8         2       0.4037518
##    5.00   3         0.7               0.8         3       0.5565337
##    5.00   3         0.7               0.8         4       0.5538242
##    5.00   3         0.7               0.8         5       0.5538242
##    5.00   3         0.7               0.8         6       0.5538242
##    5.00   3         0.7               0.8         7       0.5538242
##    5.00   3         0.7               0.8         8       0.5538242
##    5.00   3         0.7               0.8         9       0.5538242
##    5.00   3         0.7               0.8        10       0.5538242
##    5.00   3         0.7               0.8        11       0.5538242
##    5.00   3         0.7               0.8        12       0.5538242
##    5.00   3         0.7               0.8        15       0.5538242
##    5.00   3         0.7               1.0         1       0.7110518
##    5.00   3         0.7               1.0         2       0.3920646
##    5.00   3         0.7               1.0         3       0.4895613
##    5.00   3         0.7               1.0         4       0.4877231
##    5.00   3         0.7               1.0         5       0.4799176
##    5.00   3         0.7               1.0         6       0.4799176
##    5.00   3         0.7               1.0         7       0.4799176
##    5.00   3         0.7               1.0         8       0.4799176
##    5.00   3         0.7               1.0         9       0.4799176
##    5.00   3         0.7               1.0        10       0.4799176
##    5.00   3         0.7               1.0        11       0.4799176
##    5.00   3         0.7               1.0        12       0.4799176
##    5.00   3         0.7               1.0        15       0.4799176
##    5.00   3         1.0               0.8         1       0.8055756
##    5.00   3         1.0               0.8         2       0.2681571
##    5.00   3         1.0               0.8         3       0.6931633
##    5.00   3         1.0               0.8         4       0.6969320
##    5.00   3         1.0               0.8         5       0.6963895
##    5.00   3         1.0               0.8         6       0.6963895
##    5.00   3         1.0               0.8         7       0.6963895
##    5.00   3         1.0               0.8         8       0.6963895
##    5.00   3         1.0               0.8         9       0.6963895
##    5.00   3         1.0               0.8        10       0.6963895
##    5.00   3         1.0               0.8        11       0.6970748
##    5.00   3         1.0               0.8        12       0.6970748
##    5.00   3         1.0               0.8        15       0.6970748
##    5.00   3         1.0               1.0         1       0.7993407
##    5.00   3         1.0               1.0         2       0.3529942
##    5.00   3         1.0               1.0         3       0.5774256
##    5.00   3         1.0               1.0         4       0.5734718
##    5.00   3         1.0               1.0         5       0.5763264
##    5.00   3         1.0               1.0         6       0.5763264
##    5.00   3         1.0               1.0         7       0.5763264
##    5.00   3         1.0               1.0         8       0.5763264
##    5.00   3         1.0               1.0         9       0.5763264
##    5.00   3         1.0               1.0        10       0.5763264
##    5.00   3         1.0               1.0        11       0.5763264
##    5.00   3         1.0               1.0        12       0.5763264
##    5.00   3         1.0               1.0        15       0.5763264
##    5.00   3         1.5               0.8         1       0.5157167
##    5.00   3         1.5               0.8         2       0.5157167
##    5.00   3         1.5               0.8         3       0.5157167
##    5.00   3         1.5               0.8         4       0.5157167
##    5.00   3         1.5               0.8         5       0.5157167
##    5.00   3         1.5               0.8         6       0.5157167
##    5.00   3         1.5               0.8         7       0.5157167
##    5.00   3         1.5               0.8         8       0.5157167
##    5.00   3         1.5               0.8         9       0.5157167
##    5.00   3         1.5               0.8        10       0.5157167
##    5.00   3         1.5               0.8        11       0.5157167
##    5.00   3         1.5               0.8        12       0.5157167
##    5.00   3         1.5               0.8        15       0.5157167
##    5.00   3         1.5               1.0         1       0.5157167
##    5.00   3         1.5               1.0         2       0.5157167
##    5.00   3         1.5               1.0         3       0.5157167
##    5.00   3         1.5               1.0         4       0.5157167
##    5.00   3         1.5               1.0         5       0.5157167
##    5.00   3         1.5               1.0         6       0.5157167
##    5.00   3         1.5               1.0         7       0.5157167
##    5.00   3         1.5               1.0         8       0.5157167
##    5.00   3         1.5               1.0         9       0.5157167
##    5.00   3         1.5               1.0        10       0.5157167
##    5.00   3         1.5               1.0        11       0.5157167
##    5.00   3         1.5               1.0        12       0.5157167
##    5.00   3         1.5               1.0        15       0.5157167
##    5.00   5         0.1               0.8         1       0.5967924
##    5.00   5         0.1               0.8         2       0.4671246
##    5.00   5         0.1               0.8         3       0.5121764
##    5.00   5         0.1               0.8         4       0.5141725
##    5.00   5         0.1               0.8         5       0.5141725
##    5.00   5         0.1               0.8         6       0.5141725
##    5.00   5         0.1               0.8         7       0.5141725
##    5.00   5         0.1               0.8         8       0.5141725
##    5.00   5         0.1               0.8         9       0.5141725
##    5.00   5         0.1               0.8        10       0.5141725
##    5.00   5         0.1               0.8        11       0.5141725
##    5.00   5         0.1               0.8        12       0.5141725
##    5.00   5         0.1               0.8        15       0.5141725
##    5.00   5         0.1               1.0         1       0.5922591
##    5.00   5         0.1               1.0         2       0.4747427
##    5.00   5         0.1               1.0         3       0.5176895
##    5.00   5         0.1               1.0         4       0.5176612
##    5.00   5         0.1               1.0         5       0.5176612
##    5.00   5         0.1               1.0         6       0.5176612
##    5.00   5         0.1               1.0         7       0.5176612
##    5.00   5         0.1               1.0         8       0.5176612
##    5.00   5         0.1               1.0         9       0.5176612
##    5.00   5         0.1               1.0        10       0.5176612
##    5.00   5         0.1               1.0        11       0.5176612
##    5.00   5         0.1               1.0        12       0.5176612
##    5.00   5         0.1               1.0        15       0.5176612
##    5.00   5         0.5               0.8         1       0.7643055
##    5.00   5         0.5               0.8         2       0.3346874
##    5.00   5         0.5               0.8         3       0.6580009
##    5.00   5         0.5               0.8         4       0.6584942
##    5.00   5         0.5               0.8         5       0.6607903
##    5.00   5         0.5               0.8         6       0.6666496
##    5.00   5         0.5               0.8         7       0.6666496
##    5.00   5         0.5               0.8         8       0.6666496
##    5.00   5         0.5               0.8         9       0.6666496
##    5.00   5         0.5               0.8        10       0.6666496
##    5.00   5         0.5               0.8        11       0.6666496
##    5.00   5         0.5               0.8        12       0.6666496
##    5.00   5         0.5               0.8        15       0.6666496
##    5.00   5         0.5               1.0         1       0.7632536
##    5.00   5         0.5               1.0         2       0.3263729
##    5.00   5         0.5               1.0         3       0.6618474
##    5.00   5         0.5               1.0         4       0.6781384
##    5.00   5         0.5               1.0         5       0.6735478
##    5.00   5         0.5               1.0         6       0.6684150
##    5.00   5         0.5               1.0         7       0.6693252
##    5.00   5         0.5               1.0         8       0.6693252
##    5.00   5         0.5               1.0         9       0.6693252
##    5.00   5         0.5               1.0        10       0.6693252
##    5.00   5         0.5               1.0        11       0.6693252
##    5.00   5         0.5               1.0        12       0.6693252
##    5.00   5         0.5               1.0        15       0.6693252
##    5.00   5         0.7               0.8         1       0.7701064
##    5.00   5         0.7               0.8         2       0.3447821
##    5.00   5         0.7               0.8         3       0.6521874
##    5.00   5         0.7               0.8         4       0.6481741
##    5.00   5         0.7               0.8         5       0.6476315
##    5.00   5         0.7               0.8         6       0.6532904
##    5.00   5         0.7               0.8         7       0.6532904
##    5.00   5         0.7               0.8         8       0.6532904
##    5.00   5         0.7               0.8         9       0.6532904
##    5.00   5         0.7               0.8        10       0.6532904
##    5.00   5         0.7               0.8        11       0.6532904
##    5.00   5         0.7               0.8        12       0.6532904
##    5.00   5         0.7               0.8        15       0.6532904
##    5.00   5         0.7               1.0         1       0.7442491
##    5.00   5         0.7               1.0         2       0.3888094
##    5.00   5         0.7               1.0         3       0.6475563
##    5.00   5         0.7               1.0         4       0.6609317
##    5.00   5         0.7               1.0         5       0.6420989
##    5.00   5         0.7               1.0         6       0.6300927
##    5.00   5         0.7               1.0         7       0.6402189
##    5.00   5         0.7               1.0         8       0.6378752
##    5.00   5         0.7               1.0         9       0.6434040
##    5.00   5         0.7               1.0        10       0.6449966
##    5.00   5         0.7               1.0        11       0.6449966
##    5.00   5         0.7               1.0        12       0.6449966
##    5.00   5         0.7               1.0        15       0.6449966
##    5.00   5         1.0               0.8         1       0.8199027
##    5.00   5         1.0               0.8         2       0.4138489
##    5.00   5         1.0               0.8         3       0.6536691
##    5.00   5         1.0               0.8         4       0.6439242
##    5.00   5         1.0               0.8         5       0.6329628
##    5.00   5         1.0               0.8         6       0.6329628
##    5.00   5         1.0               0.8         7       0.6384616
##    5.00   5         1.0               0.8         8       0.6384616
##    5.00   5         1.0               0.8         9       0.6384616
##    5.00   5         1.0               0.8        10       0.6384616
##    5.00   5         1.0               0.8        11       0.6384616
##    5.00   5         1.0               0.8        12       0.6384616
##    5.00   5         1.0               0.8        15       0.6384616
##    5.00   5         1.0               1.0         1       0.8058990
##    5.00   5         1.0               1.0         2       0.3765521
##    5.00   5         1.0               1.0         3       0.6668170
##    5.00   5         1.0               1.0         4       0.6822085
##    5.00   5         1.0               1.0         5       0.6683797
##    5.00   5         1.0               1.0         6       0.6677681
##    5.00   5         1.0               1.0         7       0.6395724
##    5.00   5         1.0               1.0         8       0.6395724
##    5.00   5         1.0               1.0         9       0.6395724
##    5.00   5         1.0               1.0        10       0.6395724
##    5.00   5         1.0               1.0        11       0.6395724
##    5.00   5         1.0               1.0        12       0.6395724
##    5.00   5         1.0               1.0        15       0.6395724
##    5.00   5         1.5               0.8         1       0.5157167
##    5.00   5         1.5               0.8         2       0.5157167
##    5.00   5         1.5               0.8         3       0.5157167
##    5.00   5         1.5               0.8         4       0.5157167
##    5.00   5         1.5               0.8         5       0.5157167
##    5.00   5         1.5               0.8         6       0.5157167
##    5.00   5         1.5               0.8         7       0.5157167
##    5.00   5         1.5               0.8         8       0.5157167
##    5.00   5         1.5               0.8         9       0.5157167
##    5.00   5         1.5               0.8        10       0.5157167
##    5.00   5         1.5               0.8        11       0.5157167
##    5.00   5         1.5               0.8        12       0.5157167
##    5.00   5         1.5               0.8        15       0.5157167
##    5.00   5         1.5               1.0         1       0.5157167
##    5.00   5         1.5               1.0         2       0.5157167
##    5.00   5         1.5               1.0         3       0.5157167
##    5.00   5         1.5               1.0         4       0.5157167
##    5.00   5         1.5               1.0         5       0.5157167
##    5.00   5         1.5               1.0         6       0.5157167
##    5.00   5         1.5               1.0         7       0.5157167
##    5.00   5         1.5               1.0         8       0.5157167
##    5.00   5         1.5               1.0         9       0.5157167
##    5.00   5         1.5               1.0        10       0.5157167
##    5.00   5         1.5               1.0        11       0.5157167
##    5.00   5         1.5               1.0        12       0.5157167
##    5.00   5         1.5               1.0        15       0.5157167
##    5.00   7         0.1               0.8         1       0.6087161
##    5.00   7         0.1               0.8         2       0.4784534
##    5.00   7         0.1               0.8         3       0.4949079
##    5.00   7         0.1               0.8         4       0.4949079
##    5.00   7         0.1               0.8         5       0.5009615
##    5.00   7         0.1               0.8         6       0.5009615
##    5.00   7         0.1               0.8         7       0.5036058
##    5.00   7         0.1               0.8         8       0.5036058
##    5.00   7         0.1               0.8         9       0.5036058
##    5.00   7         0.1               0.8        10       0.5036058
##    5.00   7         0.1               0.8        11       0.5036058
##    5.00   7         0.1               0.8        12       0.5036058
##    5.00   7         0.1               0.8        15       0.5036058
##    5.00   7         0.1               1.0         1       0.5922591
##    5.00   7         0.1               1.0         2       0.4749831
##    5.00   7         0.1               1.0         3       0.5176895
##    5.00   7         0.1               1.0         4       0.5176612
##    5.00   7         0.1               1.0         5       0.5176612
##    5.00   7         0.1               1.0         6       0.5176612
##    5.00   7         0.1               1.0         7       0.5176612
##    5.00   7         0.1               1.0         8       0.5176612
##    5.00   7         0.1               1.0         9       0.5176612
##    5.00   7         0.1               1.0        10       0.5176612
##    5.00   7         0.1               1.0        11       0.5176612
##    5.00   7         0.1               1.0        12       0.5176612
##    5.00   7         0.1               1.0        15       0.5176612
##    5.00   7         0.5               0.8         1       0.7614657
##    5.00   7         0.5               0.8         2       0.3582942
##    5.00   7         0.5               0.8         3       0.6684866
##    5.00   7         0.5               0.8         4       0.6557318
##    5.00   7         0.5               0.8         5       0.6228682
##    5.00   7         0.5               0.8         6       0.6218465
##    5.00   7         0.5               0.8         7       0.6218465
##    5.00   7         0.5               0.8         8       0.6218465
##    5.00   7         0.5               0.8         9       0.6218465
##    5.00   7         0.5               0.8        10       0.6218465
##    5.00   7         0.5               0.8        11       0.6218465
##    5.00   7         0.5               0.8        12       0.6218465
##    5.00   7         0.5               0.8        15       0.6218465
##    5.00   7         0.5               1.0         1       0.7593595
##    5.00   7         0.5               1.0         2       0.3496854
##    5.00   7         0.5               1.0         3       0.6370198
##    5.00   7         0.5               1.0         4       0.6509148
##    5.00   7         0.5               1.0         5       0.6278496
##    5.00   7         0.5               1.0         6       0.6428018
##    5.00   7         0.5               1.0         7       0.6428018
##    5.00   7         0.5               1.0         8       0.6428018
##    5.00   7         0.5               1.0         9       0.6428018
##    5.00   7         0.5               1.0        10       0.6428018
##    5.00   7         0.5               1.0        11       0.6428018
##    5.00   7         0.5               1.0        12       0.6428018
##    5.00   7         0.5               1.0        15       0.6428018
##    5.00   7         0.7               0.8         1       0.7687876
##    5.00   7         0.7               0.8         2       0.3733135
##    5.00   7         0.7               0.8         3       0.6373395
##    5.00   7         0.7               0.8         4       0.6443388
##    5.00   7         0.7               0.8         5       0.6379890
##    5.00   7         0.7               0.8         6       0.6488399
##    5.00   7         0.7               0.8         7       0.6488399
##    5.00   7         0.7               0.8         8       0.6505526
##    5.00   7         0.7               0.8         9       0.6374216
##    5.00   7         0.7               0.8        10       0.6455646
##    5.00   7         0.7               0.8        11       0.6351981
##    5.00   7         0.7               0.8        12       0.6351981
##    5.00   7         0.7               0.8        15       0.6351981
##    5.00   7         0.7               1.0         1       0.7619225
##    5.00   7         0.7               1.0         2       0.3568384
##    5.00   7         0.7               1.0         3       0.7000333
##    5.00   7         0.7               1.0         4       0.6498142
##    5.00   7         0.7               1.0         5       0.6549646
##    5.00   7         0.7               1.0         6       0.6538357
##    5.00   7         0.7               1.0         7       0.6393826
##    5.00   7         0.7               1.0         8       0.6393826
##    5.00   7         0.7               1.0         9       0.6393826
##    5.00   7         0.7               1.0        10       0.6393826
##    5.00   7         0.7               1.0        11       0.6393826
##    5.00   7         0.7               1.0        12       0.6393826
##    5.00   7         0.7               1.0        15       0.6393826
##    5.00   7         1.0               0.8         1       0.8168211
##    5.00   7         1.0               0.8         2       0.4263942
##    5.00   7         1.0               0.8         3       0.6763201
##    5.00   7         1.0               0.8         4       0.6981215
##    5.00   7         1.0               0.8         5       0.6673330
##    5.00   7         1.0               0.8         6       0.6576756
##    5.00   7         1.0               0.8         7       0.6574472
##    5.00   7         1.0               0.8         8       0.6574472
##    5.00   7         1.0               0.8         9       0.6574472
##    5.00   7         1.0               0.8        10       0.6575037
##    5.00   7         1.0               0.8        11       0.6575037
##    5.00   7         1.0               0.8        12       0.6575037
##    5.00   7         1.0               0.8        15       0.6575037
##    5.00   7         1.0               1.0         1       0.8136092
##    5.00   7         1.0               1.0         2       0.3504716
##    5.00   7         1.0               1.0         3       0.7035270
##    5.00   7         1.0               1.0         4       0.7046389
##    5.00   7         1.0               1.0         5       0.6994479
##    5.00   7         1.0               1.0         6       0.7017616
##    5.00   7         1.0               1.0         7       0.6966835
##    5.00   7         1.0               1.0         8       0.7014010
##    5.00   7         1.0               1.0         9       0.7014010
##    5.00   7         1.0               1.0        10       0.7014010
##    5.00   7         1.0               1.0        11       0.7014010
##    5.00   7         1.0               1.0        12       0.7014010
##    5.00   7         1.0               1.0        15       0.7014010
##    5.00   7         1.5               0.8         1       0.5157167
##    5.00   7         1.5               0.8         2       0.5157167
##    5.00   7         1.5               0.8         3       0.5157167
##    5.00   7         1.5               0.8         4       0.5157167
##    5.00   7         1.5               0.8         5       0.5157167
##    5.00   7         1.5               0.8         6       0.5157167
##    5.00   7         1.5               0.8         7       0.5157167
##    5.00   7         1.5               0.8         8       0.5157167
##    5.00   7         1.5               0.8         9       0.5157167
##    5.00   7         1.5               0.8        10       0.5157167
##    5.00   7         1.5               0.8        11       0.5157167
##    5.00   7         1.5               0.8        12       0.5157167
##    5.00   7         1.5               0.8        15       0.5157167
##    5.00   7         1.5               1.0         1       0.5157167
##    5.00   7         1.5               1.0         2       0.5157167
##    5.00   7         1.5               1.0         3       0.5157167
##    5.00   7         1.5               1.0         4       0.5157167
##    5.00   7         1.5               1.0         5       0.5157167
##    5.00   7         1.5               1.0         6       0.5157167
##    5.00   7         1.5               1.0         7       0.5157167
##    5.00   7         1.5               1.0         8       0.5157167
##    5.00   7         1.5               1.0         9       0.5157167
##    5.00   7         1.5               1.0        10       0.5157167
##    5.00   7         1.5               1.0        11       0.5157167
##    5.00   7         1.5               1.0        12       0.5157167
##    5.00   7         1.5               1.0        15       0.5157167
##    5.00   9         0.1               0.8         1       0.5748764
##    5.00   9         0.1               0.8         2       0.4996297
##    5.00   9         0.1               0.8         3       0.4987561
##    5.00   9         0.1               0.8         4       0.4987561
##    5.00   9         0.1               0.8         5       0.4987561
##    5.00   9         0.1               0.8         6       0.4987561
##    5.00   9         0.1               0.8         7       0.4987561
##    5.00   9         0.1               0.8         8       0.4987561
##    5.00   9         0.1               0.8         9       0.4987561
##    5.00   9         0.1               0.8        10       0.4987561
##    5.00   9         0.1               0.8        11       0.4987561
##    5.00   9         0.1               0.8        12       0.4987561
##    5.00   9         0.1               0.8        15       0.4987561
##    5.00   9         0.1               1.0         1       0.5922591
##    5.00   9         0.1               1.0         2       0.4749831
##    5.00   9         0.1               1.0         3       0.5176895
##    5.00   9         0.1               1.0         4       0.5176612
##    5.00   9         0.1               1.0         5       0.5176612
##    5.00   9         0.1               1.0         6       0.5176612
##    5.00   9         0.1               1.0         7       0.5176612
##    5.00   9         0.1               1.0         8       0.5176612
##    5.00   9         0.1               1.0         9       0.5176612
##    5.00   9         0.1               1.0        10       0.5176612
##    5.00   9         0.1               1.0        11       0.5176612
##    5.00   9         0.1               1.0        12       0.5176612
##    5.00   9         0.1               1.0        15       0.5176612
##    5.00   9         0.5               0.8         1       0.7510148
##    5.00   9         0.5               0.8         2       0.3905658
##    5.00   9         0.5               0.8         3       0.6465316
##    5.00   9         0.5               0.8         4       0.6480922
##    5.00   9         0.5               0.8         5       0.6624391
##    5.00   9         0.5               0.8         6       0.6624391
##    5.00   9         0.5               0.8         7       0.6599150
##    5.00   9         0.5               0.8         8       0.6599150
##    5.00   9         0.5               0.8         9       0.6599150
##    5.00   9         0.5               0.8        10       0.6599150
##    5.00   9         0.5               0.8        11       0.6599150
##    5.00   9         0.5               0.8        12       0.6599150
##    5.00   9         0.5               0.8        15       0.6599150
##    5.00   9         0.5               1.0         1       0.7620466
##    5.00   9         0.5               1.0         2       0.3544193
##    5.00   9         0.5               1.0         3       0.6800549
##    5.00   9         0.5               1.0         4       0.6783483
##    5.00   9         0.5               1.0         5       0.6417151
##    5.00   9         0.5               1.0         6       0.6417151
##    5.00   9         0.5               1.0         7       0.6417151
##    5.00   9         0.5               1.0         8       0.6417151
##    5.00   9         0.5               1.0         9       0.6417151
##    5.00   9         0.5               1.0        10       0.6417151
##    5.00   9         0.5               1.0        11       0.6417151
##    5.00   9         0.5               1.0        12       0.6417151
##    5.00   9         0.5               1.0        15       0.6417151
##    5.00   9         0.7               0.8         1       0.7727858
##    5.00   9         0.7               0.8         2       0.4284543
##    5.00   9         0.7               0.8         3       0.6492108
##    5.00   9         0.7               0.8         4       0.6469168
##    5.00   9         0.7               0.8         5       0.6331922
##    5.00   9         0.7               0.8         6       0.6438755
##    5.00   9         0.7               0.8         7       0.6438755
##    5.00   9         0.7               0.8         8       0.6438755
##    5.00   9         0.7               0.8         9       0.6438755
##    5.00   9         0.7               0.8        10       0.6438755
##    5.00   9         0.7               0.8        11       0.6438755
##    5.00   9         0.7               0.8        12       0.6438755
##    5.00   9         0.7               0.8        15       0.6438755
##    5.00   9         0.7               1.0         1       0.7662170
##    5.00   9         0.7               1.0         2       0.3515647
##    5.00   9         0.7               1.0         3       0.6681374
##    5.00   9         0.7               1.0         4       0.6855208
##    5.00   9         0.7               1.0         5       0.6625509
##    5.00   9         0.7               1.0         6       0.6638572
##    5.00   9         0.7               1.0         7       0.6406705
##    5.00   9         0.7               1.0         8       0.6406705
##    5.00   9         0.7               1.0         9       0.6406705
##    5.00   9         0.7               1.0        10       0.6406705
##    5.00   9         0.7               1.0        11       0.6406705
##    5.00   9         0.7               1.0        12       0.6406705
##    5.00   9         0.7               1.0        15       0.6406705
##    5.00   9         1.0               0.8         1       0.8089557
##    5.00   9         1.0               0.8         2       0.3904537
##    5.00   9         1.0               0.8         3       0.6901458
##    5.00   9         1.0               0.8         4       0.6805774
##    5.00   9         1.0               0.8         5       0.6883353
##    5.00   9         1.0               0.8         6       0.7032762
##    5.00   9         1.0               0.8         7       0.6819473
##    5.00   9         1.0               0.8         8       0.6753668
##    5.00   9         1.0               0.8         9       0.6777406
##    5.00   9         1.0               0.8        10       0.6777406
##    5.00   9         1.0               0.8        11       0.6777406
##    5.00   9         1.0               0.8        12       0.6777406
##    5.00   9         1.0               0.8        15       0.6777406
##    5.00   9         1.0               1.0         1       0.8133229
##    5.00   9         1.0               1.0         2       0.3652064
##    5.00   9         1.0               1.0         3       0.7249674
##    5.00   9         1.0               1.0         4       0.7007282
##    5.00   9         1.0               1.0         5       0.6588166
##    5.00   9         1.0               1.0         6       0.6612505
##    5.00   9         1.0               1.0         7       0.6562625
##    5.00   9         1.0               1.0         8       0.6609800
##    5.00   9         1.0               1.0         9       0.6609800
##    5.00   9         1.0               1.0        10       0.6609800
##    5.00   9         1.0               1.0        11       0.6609800
##    5.00   9         1.0               1.0        12       0.6609800
##    5.00   9         1.0               1.0        15       0.6609800
##    5.00   9         1.5               0.8         1       0.5157167
##    5.00   9         1.5               0.8         2       0.5157167
##    5.00   9         1.5               0.8         3       0.5157167
##    5.00   9         1.5               0.8         4       0.5157167
##    5.00   9         1.5               0.8         5       0.5157167
##    5.00   9         1.5               0.8         6       0.5157167
##    5.00   9         1.5               0.8         7       0.5157167
##    5.00   9         1.5               0.8         8       0.5157167
##    5.00   9         1.5               0.8         9       0.5157167
##    5.00   9         1.5               0.8        10       0.5157167
##    5.00   9         1.5               0.8        11       0.5157167
##    5.00   9         1.5               0.8        12       0.5157167
##    5.00   9         1.5               0.8        15       0.5157167
##    5.00   9         1.5               1.0         1       0.5157167
##    5.00   9         1.5               1.0         2       0.5157167
##    5.00   9         1.5               1.0         3       0.5157167
##    5.00   9         1.5               1.0         4       0.5157167
##    5.00   9         1.5               1.0         5       0.5157167
##    5.00   9         1.5               1.0         6       0.5157167
##    5.00   9         1.5               1.0         7       0.5157167
##    5.00   9         1.5               1.0         8       0.5157167
##    5.00   9         1.5               1.0         9       0.5157167
##    5.00   9         1.5               1.0        10       0.5157167
##    5.00   9         1.5               1.0        11       0.5157167
##    5.00   9         1.5               1.0        12       0.5157167
##    5.00   9         1.5               1.0        15       0.5157167
##    5.00  11         0.1               0.8         1       0.5712534
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##    5.00  11         0.1               0.8         3       0.4970853
##    5.00  11         0.1               0.8         4       0.4970853
##    5.00  11         0.1               0.8         5       0.4970853
##    5.00  11         0.1               0.8         6       0.4970853
##    5.00  11         0.1               0.8         7       0.4970853
##    5.00  11         0.1               0.8         8       0.4970853
##    5.00  11         0.1               0.8         9       0.4970853
##    5.00  11         0.1               0.8        10       0.4970853
##    5.00  11         0.1               0.8        11       0.4970853
##    5.00  11         0.1               0.8        12       0.4970853
##    5.00  11         0.1               0.8        15       0.4970853
##    5.00  11         0.1               1.0         1       0.5922591
##    5.00  11         0.1               1.0         2       0.4749831
##    5.00  11         0.1               1.0         3       0.5176895
##    5.00  11         0.1               1.0         4       0.5176612
##    5.00  11         0.1               1.0         5       0.5176612
##    5.00  11         0.1               1.0         6       0.5176612
##    5.00  11         0.1               1.0         7       0.5176612
##    5.00  11         0.1               1.0         8       0.5176612
##    5.00  11         0.1               1.0         9       0.5176612
##    5.00  11         0.1               1.0        10       0.5176612
##    5.00  11         0.1               1.0        11       0.5176612
##    5.00  11         0.1               1.0        12       0.5176612
##    5.00  11         0.1               1.0        15       0.5176612
##    5.00  11         0.5               0.8         1       0.7728681
##    5.00  11         0.5               0.8         2       0.3699927
##    5.00  11         0.5               0.8         3       0.6695349
##    5.00  11         0.5               0.8         4       0.6575460
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##    5.00  11         0.5               0.8         7       0.6346406
##    5.00  11         0.5               0.8         8       0.6346406
##    5.00  11         0.5               0.8         9       0.6346406
##    5.00  11         0.5               0.8        10       0.6346406
##    5.00  11         0.5               0.8        11       0.6346406
##    5.00  11         0.5               0.8        12       0.6346406
##    5.00  11         0.5               0.8        15       0.6346406
##    5.00  11         0.5               1.0         1       0.7639249
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##    5.00  11         0.5               1.0         4       0.6535374
##    5.00  11         0.5               1.0         5       0.6131582
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##    5.00  11         0.5               1.0         8       0.6203158
##    5.00  11         0.5               1.0         9       0.6203158
##    5.00  11         0.5               1.0        10       0.6203158
##    5.00  11         0.5               1.0        11       0.6203158
##    5.00  11         0.5               1.0        12       0.6203158
##    5.00  11         0.5               1.0        15       0.6203158
##    5.00  11         0.7               0.8         1       0.7857968
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##    5.00  11         0.7               0.8         9       0.6062699
##    5.00  11         0.7               0.8        10       0.6062699
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##    5.00  11         0.7               0.8        12       0.6184022
##    5.00  11         0.7               0.8        15       0.6184022
##    5.00  11         0.7               1.0         1       0.7661466
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##    5.00  11         0.7               1.0         7       0.6251011
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##    5.00  11         0.7               1.0         9       0.6308978
##    5.00  11         0.7               1.0        10       0.6308978
##    5.00  11         0.7               1.0        11       0.6308978
##    5.00  11         0.7               1.0        12       0.6308978
##    5.00  11         0.7               1.0        15       0.6308978
##    5.00  11         1.0               0.8         1       0.8208278
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##    5.00  11         1.0               0.8         7       0.6918653
##    5.00  11         1.0               0.8         8       0.6918653
##    5.00  11         1.0               0.8         9       0.6918653
##    5.00  11         1.0               0.8        10       0.6918653
##    5.00  11         1.0               0.8        11       0.6918653
##    5.00  11         1.0               0.8        12       0.6918653
##    5.00  11         1.0               0.8        15       0.6918653
##    5.00  11         1.0               1.0         1       0.8133229
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##    5.00  11         1.0               1.0         8       0.6609800
##    5.00  11         1.0               1.0         9       0.6609800
##    5.00  11         1.0               1.0        10       0.6609800
##    5.00  11         1.0               1.0        11       0.6609800
##    5.00  11         1.0               1.0        12       0.6609800
##    5.00  11         1.0               1.0        15       0.6609800
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##    5.00  11         1.5               0.8         5       0.5157167
##    5.00  11         1.5               0.8         6       0.5157167
##    5.00  11         1.5               0.8         7       0.5157167
##    5.00  11         1.5               0.8         8       0.5157167
##    5.00  11         1.5               0.8         9       0.5157167
##    5.00  11         1.5               0.8        10       0.5157167
##    5.00  11         1.5               0.8        11       0.5157167
##    5.00  11         1.5               0.8        12       0.5157167
##    5.00  11         1.5               0.8        15       0.5157167
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##    5.00  11         1.5               1.0         5       0.5157167
##    5.00  11         1.5               1.0         6       0.5157167
##    5.00  11         1.5               1.0         7       0.5157167
##    5.00  11         1.5               1.0         8       0.5157167
##    5.00  11         1.5               1.0         9       0.5157167
##    5.00  11         1.5               1.0        10       0.5157167
##    5.00  11         1.5               1.0        11       0.5157167
##    5.00  11         1.5               1.0        12       0.5157167
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##    5.00  13         0.1               0.8         1       0.6076432
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##    5.00  13         0.1               0.8         6       0.5035261
##    5.00  13         0.1               0.8         7       0.5035261
##    5.00  13         0.1               0.8         8       0.5035261
##    5.00  13         0.1               0.8         9       0.5035261
##    5.00  13         0.1               0.8        10       0.5035261
##    5.00  13         0.1               0.8        11       0.5035261
##    5.00  13         0.1               0.8        12       0.5035261
##    5.00  13         0.1               0.8        15       0.5035261
##    5.00  13         0.1               1.0         1       0.5922591
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##    5.00  17         1.0               0.8         2       0.4153810
##    5.00  17         1.0               0.8         3       0.7219666
##    5.00  17         1.0               0.8         4       0.6910492
##    5.00  17         1.0               0.8         5       0.6579016
##    5.00  17         1.0               0.8         6       0.6240924
##    5.00  17         1.0               0.8         7       0.6240924
##    5.00  17         1.0               0.8         8       0.6240924
##    5.00  17         1.0               0.8         9       0.6240924
##    5.00  17         1.0               0.8        10       0.6240924
##    5.00  17         1.0               0.8        11       0.6240924
##    5.00  17         1.0               0.8        12       0.6240924
##    5.00  17         1.0               0.8        15       0.6240924
##    5.00  17         1.0               1.0         1       0.8133229
##    5.00  17         1.0               1.0         2       0.3652064
##    5.00  17         1.0               1.0         3       0.7249674
##    5.00  17         1.0               1.0         4       0.7007282
##    5.00  17         1.0               1.0         5       0.6588166
##    5.00  17         1.0               1.0         6       0.6612505
##    5.00  17         1.0               1.0         7       0.6562625
##    5.00  17         1.0               1.0         8       0.6609800
##    5.00  17         1.0               1.0         9       0.6609800
##    5.00  17         1.0               1.0        10       0.6609800
##    5.00  17         1.0               1.0        11       0.6609800
##    5.00  17         1.0               1.0        12       0.6609800
##    5.00  17         1.0               1.0        15       0.6609800
##    5.00  17         1.5               0.8         1       0.5157167
##    5.00  17         1.5               0.8         2       0.5157167
##    5.00  17         1.5               0.8         3       0.5157167
##    5.00  17         1.5               0.8         4       0.5157167
##    5.00  17         1.5               0.8         5       0.5157167
##    5.00  17         1.5               0.8         6       0.5157167
##    5.00  17         1.5               0.8         7       0.5157167
##    5.00  17         1.5               0.8         8       0.5157167
##    5.00  17         1.5               0.8         9       0.5157167
##    5.00  17         1.5               0.8        10       0.5157167
##    5.00  17         1.5               0.8        11       0.5157167
##    5.00  17         1.5               0.8        12       0.5157167
##    5.00  17         1.5               0.8        15       0.5157167
##    5.00  17         1.5               1.0         1       0.5157167
##    5.00  17         1.5               1.0         2       0.5157167
##    5.00  17         1.5               1.0         3       0.5157167
##    5.00  17         1.5               1.0         4       0.5157167
##    5.00  17         1.5               1.0         5       0.5157167
##    5.00  17         1.5               1.0         6       0.5157167
##    5.00  17         1.5               1.0         7       0.5157167
##    5.00  17         1.5               1.0         8       0.5157167
##    5.00  17         1.5               1.0         9       0.5157167
##    5.00  17         1.5               1.0        10       0.5157167
##    5.00  17         1.5               1.0        11       0.5157167
##    5.00  17         1.5               1.0        12       0.5157167
##    5.00  17         1.5               1.0        15       0.5157167
##   10.00   3         0.1               0.8         1       0.5987596
##   10.00   3         0.1               0.8         2       0.5380455
##   10.00   3         0.1               0.8         3       0.5380455
##   10.00   3         0.1               0.8         4       0.5370840
##   10.00   3         0.1               0.8         5       0.5370840
##   10.00   3         0.1               0.8         6       0.5370840
##   10.00   3         0.1               0.8         7       0.5370840
##   10.00   3         0.1               0.8         8       0.5370840
##   10.00   3         0.1               0.8         9       0.5370840
##   10.00   3         0.1               0.8        10       0.5370840
##   10.00   3         0.1               0.8        11       0.5370840
##   10.00   3         0.1               0.8        12       0.5370840
##   10.00   3         0.1               0.8        15       0.5370840
##   10.00   3         0.1               1.0         1       0.5916849
##   10.00   3         0.1               1.0         2       0.5581841
##   10.00   3         0.1               1.0         3       0.5611253
##   10.00   3         0.1               1.0         4       0.5611253
##   10.00   3         0.1               1.0         5       0.5611253
##   10.00   3         0.1               1.0         6       0.5611253
##   10.00   3         0.1               1.0         7       0.5611253
##   10.00   3         0.1               1.0         8       0.5611253
##   10.00   3         0.1               1.0         9       0.5611253
##   10.00   3         0.1               1.0        10       0.5611253
##   10.00   3         0.1               1.0        11       0.5611253
##   10.00   3         0.1               1.0        12       0.5611253
##   10.00   3         0.1               1.0        15       0.5611253
##   10.00   3         0.5               0.8         1       0.6924095
##   10.00   3         0.5               0.8         2       0.4245895
##   10.00   3         0.5               0.8         3       0.4736284
##   10.00   3         0.5               0.8         4       0.4736284
##   10.00   3         0.5               0.8         5       0.4736284
##   10.00   3         0.5               0.8         6       0.4736284
##   10.00   3         0.5               0.8         7       0.4736284
##   10.00   3         0.5               0.8         8       0.4736284
##   10.00   3         0.5               0.8         9       0.4736284
##   10.00   3         0.5               0.8        10       0.4736284
##   10.00   3         0.5               0.8        11       0.4736284
##   10.00   3         0.5               0.8        12       0.4736284
##   10.00   3         0.5               0.8        15       0.4736284
##   10.00   3         0.5               1.0         1       0.7159431
##   10.00   3         0.5               1.0         2       0.4263738
##   10.00   3         0.5               1.0         3       0.4919525
##   10.00   3         0.5               1.0         4       0.4919525
##   10.00   3         0.5               1.0         5       0.4919525
##   10.00   3         0.5               1.0         6       0.4919525
##   10.00   3         0.5               1.0         7       0.4919525
##   10.00   3         0.5               1.0         8       0.4919525
##   10.00   3         0.5               1.0         9       0.4919525
##   10.00   3         0.5               1.0        10       0.4919525
##   10.00   3         0.5               1.0        11       0.4919525
##   10.00   3         0.5               1.0        12       0.4919525
##   10.00   3         0.5               1.0        15       0.4919525
##   10.00   3         0.7               0.8         1       0.7071234
##   10.00   3         0.7               0.8         2       0.4144746
##   10.00   3         0.7               0.8         3       0.4444927
##   10.00   3         0.7               0.8         4       0.4444927
##   10.00   3         0.7               0.8         5       0.4444927
##   10.00   3         0.7               0.8         6       0.4444927
##   10.00   3         0.7               0.8         7       0.4444927
##   10.00   3         0.7               0.8         8       0.4444927
##   10.00   3         0.7               0.8         9       0.4444927
##   10.00   3         0.7               0.8        10       0.4444927
##   10.00   3         0.7               0.8        11       0.4444927
##   10.00   3         0.7               0.8        12       0.4444927
##   10.00   3         0.7               0.8        15       0.4444927
##   10.00   3         0.7               1.0         1       0.7110518
##   10.00   3         0.7               1.0         2       0.4358517
##   10.00   3         0.7               1.0         3       0.4358517
##   10.00   3         0.7               1.0         4       0.4358517
##   10.00   3         0.7               1.0         5       0.4358517
##   10.00   3         0.7               1.0         6       0.4358517
##   10.00   3         0.7               1.0         7       0.4358517
##   10.00   3         0.7               1.0         8       0.4358517
##   10.00   3         0.7               1.0         9       0.4358517
##   10.00   3         0.7               1.0        10       0.4358517
##   10.00   3         0.7               1.0        11       0.4358517
##   10.00   3         0.7               1.0        12       0.4358517
##   10.00   3         0.7               1.0        15       0.4358517
##   10.00   3         1.0               0.8         1       0.7917192
##   10.00   3         1.0               0.8         2       0.4976545
##   10.00   3         1.0               0.8         3       0.5221437
##   10.00   3         1.0               0.8         4       0.5365385
##   10.00   3         1.0               0.8         5       0.5365385
##   10.00   3         1.0               0.8         6       0.5365385
##   10.00   3         1.0               0.8         7       0.5365385
##   10.00   3         1.0               0.8         8       0.5365385
##   10.00   3         1.0               0.8         9       0.5365385
##   10.00   3         1.0               0.8        10       0.5365385
##   10.00   3         1.0               0.8        11       0.5365385
##   10.00   3         1.0               0.8        12       0.5365385
##   10.00   3         1.0               0.8        15       0.5365385
##   10.00   3         1.0               1.0         1       0.7993407
##   10.00   3         1.0               1.0         2       0.4034478
##   10.00   3         1.0               1.0         3       0.4246897
##   10.00   3         1.0               1.0         4       0.4246897
##   10.00   3         1.0               1.0         5       0.4246897
##   10.00   3         1.0               1.0         6       0.4246897
##   10.00   3         1.0               1.0         7       0.4246897
##   10.00   3         1.0               1.0         8       0.4246897
##   10.00   3         1.0               1.0         9       0.4246897
##   10.00   3         1.0               1.0        10       0.4246897
##   10.00   3         1.0               1.0        11       0.4246897
##   10.00   3         1.0               1.0        12       0.4246897
##   10.00   3         1.0               1.0        15       0.4246897
##   10.00   3         1.5               0.8         1       0.5157167
##   10.00   3         1.5               0.8         2       0.5157167
##   10.00   3         1.5               0.8         3       0.5157167
##   10.00   3         1.5               0.8         4       0.5157167
##   10.00   3         1.5               0.8         5       0.5157167
##   10.00   3         1.5               0.8         6       0.5157167
##   10.00   3         1.5               0.8         7       0.5157167
##   10.00   3         1.5               0.8         8       0.5157167
##   10.00   3         1.5               0.8         9       0.5157167
##   10.00   3         1.5               0.8        10       0.5157167
##   10.00   3         1.5               0.8        11       0.5157167
##   10.00   3         1.5               0.8        12       0.5157167
##   10.00   3         1.5               0.8        15       0.5157167
##   10.00   3         1.5               1.0         1       0.5157167
##   10.00   3         1.5               1.0         2       0.5157167
##   10.00   3         1.5               1.0         3       0.5157167
##   10.00   3         1.5               1.0         4       0.5157167
##   10.00   3         1.5               1.0         5       0.5157167
##   10.00   3         1.5               1.0         6       0.5157167
##   10.00   3         1.5               1.0         7       0.5157167
##   10.00   3         1.5               1.0         8       0.5157167
##   10.00   3         1.5               1.0         9       0.5157167
##   10.00   3         1.5               1.0        10       0.5157167
##   10.00   3         1.5               1.0        11       0.5157167
##   10.00   3         1.5               1.0        12       0.5157167
##   10.00   3         1.5               1.0        15       0.5157167
##   10.00   5         0.1               0.8         1       0.6088136
##   10.00   5         0.1               0.8         2       0.5197731
##   10.00   5         0.1               0.8         3       0.5197731
##   10.00   5         0.1               0.8         4       0.5197731
##   10.00   5         0.1               0.8         5       0.5197731
##   10.00   5         0.1               0.8         6       0.5197731
##   10.00   5         0.1               0.8         7       0.5197731
##   10.00   5         0.1               0.8         8       0.5197731
##   10.00   5         0.1               0.8         9       0.5197731
##   10.00   5         0.1               0.8        10       0.5197731
##   10.00   5         0.1               0.8        11       0.5197731
##   10.00   5         0.1               0.8        12       0.5197731
##   10.00   5         0.1               0.8        15       0.5197731
##   10.00   5         0.1               1.0         1       0.5922591
##   10.00   5         0.1               1.0         2       0.5546804
##   10.00   5         0.1               1.0         3       0.5546804
##   10.00   5         0.1               1.0         4       0.5546804
##   10.00   5         0.1               1.0         5       0.5546804
##   10.00   5         0.1               1.0         6       0.5546804
##   10.00   5         0.1               1.0         7       0.5546804
##   10.00   5         0.1               1.0         8       0.5546804
##   10.00   5         0.1               1.0         9       0.5546804
##   10.00   5         0.1               1.0        10       0.5546804
##   10.00   5         0.1               1.0        11       0.5546804
##   10.00   5         0.1               1.0        12       0.5546804
##   10.00   5         0.1               1.0        15       0.5546804
##   10.00   5         0.5               0.8         1       0.7631371
##   10.00   5         0.5               0.8         2       0.4241177
##   10.00   5         0.5               0.8         3       0.4355339
##   10.00   5         0.5               0.8         4       0.4422929
##   10.00   5         0.5               0.8         5       0.4422929
##   10.00   5         0.5               0.8         6       0.4422929
##   10.00   5         0.5               0.8         7       0.4422929
##   10.00   5         0.5               0.8         8       0.4422929
##   10.00   5         0.5               0.8         9       0.4422929
##   10.00   5         0.5               0.8        10       0.4422929
##   10.00   5         0.5               0.8        11       0.4422929
##   10.00   5         0.5               0.8        12       0.4422929
##   10.00   5         0.5               0.8        15       0.4422929
##   10.00   5         0.5               1.0         1       0.7632536
##   10.00   5         0.5               1.0         2       0.4074437
##   10.00   5         0.5               1.0         3       0.5387282
##   10.00   5         0.5               1.0         4       0.5450692
##   10.00   5         0.5               1.0         5       0.5450692
##   10.00   5         0.5               1.0         6       0.5450692
##   10.00   5         0.5               1.0         7       0.5450692
##   10.00   5         0.5               1.0         8       0.5450692
##   10.00   5         0.5               1.0         9       0.5450692
##   10.00   5         0.5               1.0        10       0.5450692
##   10.00   5         0.5               1.0        11       0.5450692
##   10.00   5         0.5               1.0        12       0.5450692
##   10.00   5         0.5               1.0        15       0.5450692
##   10.00   5         0.7               0.8         1       0.7265235
##   10.00   5         0.7               0.8         2       0.4449726
##   10.00   5         0.7               0.8         3       0.4660906
##   10.00   5         0.7               0.8         4       0.4745942
##   10.00   5         0.7               0.8         5       0.4652493
##   10.00   5         0.7               0.8         6       0.4652493
##   10.00   5         0.7               0.8         7       0.4652493
##   10.00   5         0.7               0.8         8       0.4652493
##   10.00   5         0.7               0.8         9       0.4652493
##   10.00   5         0.7               0.8        10       0.4652493
##   10.00   5         0.7               0.8        11       0.4652493
##   10.00   5         0.7               0.8        12       0.4652493
##   10.00   5         0.7               0.8        15       0.4652493
##   10.00   5         0.7               1.0         1       0.7442491
##   10.00   5         0.7               1.0         2       0.4160608
##   10.00   5         0.7               1.0         3       0.5312322
##   10.00   5         0.7               1.0         4       0.5323139
##   10.00   5         0.7               1.0         5       0.5323139
##   10.00   5         0.7               1.0         6       0.5323139
##   10.00   5         0.7               1.0         7       0.5323139
##   10.00   5         0.7               1.0         8       0.5323139
##   10.00   5         0.7               1.0         9       0.5323139
##   10.00   5         0.7               1.0        10       0.5323139
##   10.00   5         0.7               1.0        11       0.5323139
##   10.00   5         0.7               1.0        12       0.5323139
##   10.00   5         0.7               1.0        15       0.5323139
##   10.00   5         1.0               0.8         1       0.8048963
##   10.00   5         1.0               0.8         2       0.4238976
##   10.00   5         1.0               0.8         3       0.5139780
##   10.00   5         1.0               0.8         4       0.5082726
##   10.00   5         1.0               0.8         5       0.5082726
##   10.00   5         1.0               0.8         6       0.5082726
##   10.00   5         1.0               0.8         7       0.5082726
##   10.00   5         1.0               0.8         8       0.5082726
##   10.00   5         1.0               0.8         9       0.5082726
##   10.00   5         1.0               0.8        10       0.5082726
##   10.00   5         1.0               0.8        11       0.5082726
##   10.00   5         1.0               0.8        12       0.5082726
##   10.00   5         1.0               0.8        15       0.5082726
##   10.00   5         1.0               1.0         1       0.8058990
##   10.00   5         1.0               1.0         2       0.4124580
##   10.00   5         1.0               1.0         3       0.5101628
##   10.00   5         1.0               1.0         4       0.5062566
##   10.00   5         1.0               1.0         5       0.5062566
##   10.00   5         1.0               1.0         6       0.5062566
##   10.00   5         1.0               1.0         7       0.5062566
##   10.00   5         1.0               1.0         8       0.5062566
##   10.00   5         1.0               1.0         9       0.5062566
##   10.00   5         1.0               1.0        10       0.5062566
##   10.00   5         1.0               1.0        11       0.5062566
##   10.00   5         1.0               1.0        12       0.5062566
##   10.00   5         1.0               1.0        15       0.5062566
##   10.00   5         1.5               0.8         1       0.5157167
##   10.00   5         1.5               0.8         2       0.5157167
##   10.00   5         1.5               0.8         3       0.5157167
##   10.00   5         1.5               0.8         4       0.5157167
##   10.00   5         1.5               0.8         5       0.5157167
##   10.00   5         1.5               0.8         6       0.5157167
##   10.00   5         1.5               0.8         7       0.5157167
##   10.00   5         1.5               0.8         8       0.5157167
##   10.00   5         1.5               0.8         9       0.5157167
##   10.00   5         1.5               0.8        10       0.5157167
##   10.00   5         1.5               0.8        11       0.5157167
##   10.00   5         1.5               0.8        12       0.5157167
##   10.00   5         1.5               0.8        15       0.5157167
##   10.00   5         1.5               1.0         1       0.5157167
##   10.00   5         1.5               1.0         2       0.5157167
##   10.00   5         1.5               1.0         3       0.5157167
##   10.00   5         1.5               1.0         4       0.5157167
##   10.00   5         1.5               1.0         5       0.5157167
##   10.00   5         1.5               1.0         6       0.5157167
##   10.00   5         1.5               1.0         7       0.5157167
##   10.00   5         1.5               1.0         8       0.5157167
##   10.00   5         1.5               1.0         9       0.5157167
##   10.00   5         1.5               1.0        10       0.5157167
##   10.00   5         1.5               1.0        11       0.5157167
##   10.00   5         1.5               1.0        12       0.5157167
##   10.00   5         1.5               1.0        15       0.5157167
##   10.00   7         0.1               0.8         1       0.6003915
##   10.00   7         0.1               0.8         2       0.5085501
##   10.00   7         0.1               0.8         3       0.5085501
##   10.00   7         0.1               0.8         4       0.5085501
##   10.00   7         0.1               0.8         5       0.5085501
##   10.00   7         0.1               0.8         6       0.5085501
##   10.00   7         0.1               0.8         7       0.5085501
##   10.00   7         0.1               0.8         8       0.5085501
##   10.00   7         0.1               0.8         9       0.5085501
##   10.00   7         0.1               0.8        10       0.5085501
##   10.00   7         0.1               0.8        11       0.5085501
##   10.00   7         0.1               0.8        12       0.5085501
##   10.00   7         0.1               0.8        15       0.5085501
##   10.00   7         0.1               1.0         1       0.5922591
##   10.00   7         0.1               1.0         2       0.5414893
##   10.00   7         0.1               1.0         3       0.5414893
##   10.00   7         0.1               1.0         4       0.5414893
##   10.00   7         0.1               1.0         5       0.5414893
##   10.00   7         0.1               1.0         6       0.5414893
##   10.00   7         0.1               1.0         7       0.5414893
##   10.00   7         0.1               1.0         8       0.5414893
##   10.00   7         0.1               1.0         9       0.5414893
##   10.00   7         0.1               1.0        10       0.5414893
##   10.00   7         0.1               1.0        11       0.5414893
##   10.00   7         0.1               1.0        12       0.5414893
##   10.00   7         0.1               1.0        15       0.5414893
##   10.00   7         0.5               0.8         1       0.7587297
##   10.00   7         0.5               0.8         2       0.3937243
##   10.00   7         0.5               0.8         3       0.5164600
##   10.00   7         0.5               0.8         4       0.5227100
##   10.00   7         0.5               0.8         5       0.5227100
##   10.00   7         0.5               0.8         6       0.5227100
##   10.00   7         0.5               0.8         7       0.5227100
##   10.00   7         0.5               0.8         8       0.5227100
##   10.00   7         0.5               0.8         9       0.5325900
##   10.00   7         0.5               0.8        10       0.5325900
##   10.00   7         0.5               0.8        11       0.5325900
##   10.00   7         0.5               0.8        12       0.5325900
##   10.00   7         0.5               0.8        15       0.5325900
##   10.00   7         0.5               1.0         1       0.7593595
##   10.00   7         0.5               1.0         2       0.3722657
##   10.00   7         0.5               1.0         3       0.5542242
##   10.00   7         0.5               1.0         4       0.5753312
##   10.00   7         0.5               1.0         5       0.5753312
##   10.00   7         0.5               1.0         6       0.5753312
##   10.00   7         0.5               1.0         7       0.5753312
##   10.00   7         0.5               1.0         8       0.5753312
##   10.00   7         0.5               1.0         9       0.5753312
##   10.00   7         0.5               1.0        10       0.5753312
##   10.00   7         0.5               1.0        11       0.5753312
##   10.00   7         0.5               1.0        12       0.5753312
##   10.00   7         0.5               1.0        15       0.5753312
##   10.00   7         0.7               0.8         1       0.7669227
##   10.00   7         0.7               0.8         2       0.4020276
##   10.00   7         0.7               0.8         3       0.5614740
##   10.00   7         0.7               0.8         4       0.5605326
##   10.00   7         0.7               0.8         5       0.5605326
##   10.00   7         0.7               0.8         6       0.5763379
##   10.00   7         0.7               0.8         7       0.5763379
##   10.00   7         0.7               0.8         8       0.5763379
##   10.00   7         0.7               0.8         9       0.5763379
##   10.00   7         0.7               0.8        10       0.5763379
##   10.00   7         0.7               0.8        11       0.5763379
##   10.00   7         0.7               0.8        12       0.5763379
##   10.00   7         0.7               0.8        15       0.5763379
##   10.00   7         0.7               1.0         1       0.7619225
##   10.00   7         0.7               1.0         2       0.3535947
##   10.00   7         0.7               1.0         3       0.5242142
##   10.00   7         0.7               1.0         4       0.5206874
##   10.00   7         0.7               1.0         5       0.5206874
##   10.00   7         0.7               1.0         6       0.5206874
##   10.00   7         0.7               1.0         7       0.5206874
##   10.00   7         0.7               1.0         8       0.5206874
##   10.00   7         0.7               1.0         9       0.5206874
##   10.00   7         0.7               1.0        10       0.5206874
##   10.00   7         0.7               1.0        11       0.5206874
##   10.00   7         0.7               1.0        12       0.5206874
##   10.00   7         0.7               1.0        15       0.5206874
##   10.00   7         1.0               0.8         1       0.7987579
##   10.00   7         1.0               0.8         2       0.4141723
##   10.00   7         1.0               0.8         3       0.5470067
##   10.00   7         1.0               0.8         4       0.5480800
##   10.00   7         1.0               0.8         5       0.5479372
##   10.00   7         1.0               0.8         6       0.5479372
##   10.00   7         1.0               0.8         7       0.5479372
##   10.00   7         1.0               0.8         8       0.5479372
##   10.00   7         1.0               0.8         9       0.5479372
##   10.00   7         1.0               0.8        10       0.5479372
##   10.00   7         1.0               0.8        11       0.5479372
##   10.00   7         1.0               0.8        12       0.5479372
##   10.00   7         1.0               0.8        15       0.5479372
##   10.00   7         1.0               1.0         1       0.8136092
##   10.00   7         1.0               1.0         2       0.4282222
##   10.00   7         1.0               1.0         3       0.5468916
##   10.00   7         1.0               1.0         4       0.5468916
##   10.00   7         1.0               1.0         5       0.5468916
##   10.00   7         1.0               1.0         6       0.5468916
##   10.00   7         1.0               1.0         7       0.5468916
##   10.00   7         1.0               1.0         8       0.5468916
##   10.00   7         1.0               1.0         9       0.5468916
##   10.00   7         1.0               1.0        10       0.5468916
##   10.00   7         1.0               1.0        11       0.5468916
##   10.00   7         1.0               1.0        12       0.5468916
##   10.00   7         1.0               1.0        15       0.5468916
##   10.00   7         1.5               0.8         1       0.5157167
##   10.00   7         1.5               0.8         2       0.5157167
##   10.00   7         1.5               0.8         3       0.5157167
##   10.00   7         1.5               0.8         4       0.5157167
##   10.00   7         1.5               0.8         5       0.5157167
##   10.00   7         1.5               0.8         6       0.5157167
##   10.00   7         1.5               0.8         7       0.5157167
##   10.00   7         1.5               0.8         8       0.5157167
##   10.00   7         1.5               0.8         9       0.5157167
##   10.00   7         1.5               0.8        10       0.5157167
##   10.00   7         1.5               0.8        11       0.5157167
##   10.00   7         1.5               0.8        12       0.5157167
##   10.00   7         1.5               0.8        15       0.5157167
##   10.00   7         1.5               1.0         1       0.5157167
##   10.00   7         1.5               1.0         2       0.5157167
##   10.00   7         1.5               1.0         3       0.5157167
##   10.00   7         1.5               1.0         4       0.5157167
##   10.00   7         1.5               1.0         5       0.5157167
##   10.00   7         1.5               1.0         6       0.5157167
##   10.00   7         1.5               1.0         7       0.5157167
##   10.00   7         1.5               1.0         8       0.5157167
##   10.00   7         1.5               1.0         9       0.5157167
##   10.00   7         1.5               1.0        10       0.5157167
##   10.00   7         1.5               1.0        11       0.5157167
##   10.00   7         1.5               1.0        12       0.5157167
##   10.00   7         1.5               1.0        15       0.5157167
##   10.00   9         0.1               0.8         1       0.5886527
##   10.00   9         0.1               0.8         2       0.5292461
##   10.00   9         0.1               0.8         3       0.5282752
##   10.00   9         0.1               0.8         4       0.5167668
##   10.00   9         0.1               0.8         5       0.5167668
##   10.00   9         0.1               0.8         6       0.5167668
##   10.00   9         0.1               0.8         7       0.5167668
##   10.00   9         0.1               0.8         8       0.5167668
##   10.00   9         0.1               0.8         9       0.5167668
##   10.00   9         0.1               0.8        10       0.5167668
##   10.00   9         0.1               0.8        11       0.5167668
##   10.00   9         0.1               0.8        12       0.5167668
##   10.00   9         0.1               0.8        15       0.5167668
##   10.00   9         0.1               1.0         1       0.5922591
##   10.00   9         0.1               1.0         2       0.5414893
##   10.00   9         0.1               1.0         3       0.5414893
##   10.00   9         0.1               1.0         4       0.5414893
##   10.00   9         0.1               1.0         5       0.5414893
##   10.00   9         0.1               1.0         6       0.5414893
##   10.00   9         0.1               1.0         7       0.5414893
##   10.00   9         0.1               1.0         8       0.5414893
##   10.00   9         0.1               1.0         9       0.5414893
##   10.00   9         0.1               1.0        10       0.5414893
##   10.00   9         0.1               1.0        11       0.5414893
##   10.00   9         0.1               1.0        12       0.5414893
##   10.00   9         0.1               1.0        15       0.5414893
##   10.00   9         0.5               0.8         1       0.7586609
##   10.00   9         0.5               0.8         2       0.4506306
##   10.00   9         0.5               0.8         3       0.4891803
##   10.00   9         0.5               0.8         4       0.4891803
##   10.00   9         0.5               0.8         5       0.4892106
##   10.00   9         0.5               0.8         6       0.4892106
##   10.00   9         0.5               0.8         7       0.4892106
##   10.00   9         0.5               0.8         8       0.4892106
##   10.00   9         0.5               0.8         9       0.4892106
##   10.00   9         0.5               0.8        10       0.4892106
##   10.00   9         0.5               0.8        11       0.4892106
##   10.00   9         0.5               0.8        12       0.4892106
##   10.00   9         0.5               0.8        15       0.4892106
##   10.00   9         0.5               1.0         1       0.7620466
##   10.00   9         0.5               1.0         2       0.3748917
##   10.00   9         0.5               1.0         3       0.5630007
##   10.00   9         0.5               1.0         4       0.5636568
##   10.00   9         0.5               1.0         5       0.5636568
##   10.00   9         0.5               1.0         6       0.5636568
##   10.00   9         0.5               1.0         7       0.5636568
##   10.00   9         0.5               1.0         8       0.5636568
##   10.00   9         0.5               1.0         9       0.5636568
##   10.00   9         0.5               1.0        10       0.5636568
##   10.00   9         0.5               1.0        11       0.5636568
##   10.00   9         0.5               1.0        12       0.5636568
##   10.00   9         0.5               1.0        15       0.5636568
##   10.00   9         0.7               0.8         1       0.7757603
##   10.00   9         0.7               0.8         2       0.4014711
##   10.00   9         0.7               0.8         3       0.5165479
##   10.00   9         0.7               0.8         4       0.5153226
##   10.00   9         0.7               0.8         5       0.5063382
##   10.00   9         0.7               0.8         6       0.5063382
##   10.00   9         0.7               0.8         7       0.5063382
##   10.00   9         0.7               0.8         8       0.5063382
##   10.00   9         0.7               0.8         9       0.5063382
##   10.00   9         0.7               0.8        10       0.5064584
##   10.00   9         0.7               0.8        11       0.5064584
##   10.00   9         0.7               0.8        12       0.5064584
##   10.00   9         0.7               0.8        15       0.5064584
##   10.00   9         0.7               1.0         1       0.7662170
##   10.00   9         0.7               1.0         2       0.3962065
##   10.00   9         0.7               1.0         3       0.5686456
##   10.00   9         0.7               1.0         4       0.5721655
##   10.00   9         0.7               1.0         5       0.5721655
##   10.00   9         0.7               1.0         6       0.5721655
##   10.00   9         0.7               1.0         7       0.5721655
##   10.00   9         0.7               1.0         8       0.5721655
##   10.00   9         0.7               1.0         9       0.5721655
##   10.00   9         0.7               1.0        10       0.5721655
##   10.00   9         0.7               1.0        11       0.5721655
##   10.00   9         0.7               1.0        12       0.5721655
##   10.00   9         0.7               1.0        15       0.5721655
##   10.00   9         1.0               0.8         1       0.8036046
##   10.00   9         1.0               0.8         2       0.4479239
##   10.00   9         1.0               0.8         3       0.5665437
##   10.00   9         1.0               0.8         4       0.5659990
##   10.00   9         1.0               0.8         5       0.5659990
##   10.00   9         1.0               0.8         6       0.5659990
##   10.00   9         1.0               0.8         7       0.5659990
##   10.00   9         1.0               0.8         8       0.5659990
##   10.00   9         1.0               0.8         9       0.5659990
##   10.00   9         1.0               0.8        10       0.5659990
##   10.00   9         1.0               0.8        11       0.5659990
##   10.00   9         1.0               0.8        12       0.5659990
##   10.00   9         1.0               0.8        15       0.5659990
##   10.00   9         1.0               1.0         1       0.8133229
##   10.00   9         1.0               1.0         2       0.4198989
##   10.00   9         1.0               1.0         3       0.5536277
##   10.00   9         1.0               1.0         4       0.5540802
##   10.00   9         1.0               1.0         5       0.5540802
##   10.00   9         1.0               1.0         6       0.5540802
##   10.00   9         1.0               1.0         7       0.5540802
##   10.00   9         1.0               1.0         8       0.5540802
##   10.00   9         1.0               1.0         9       0.5540802
##   10.00   9         1.0               1.0        10       0.5540802
##   10.00   9         1.0               1.0        11       0.5540802
##   10.00   9         1.0               1.0        12       0.5540802
##   10.00   9         1.0               1.0        15       0.5540802
##   10.00   9         1.5               0.8         1       0.5157167
##   10.00   9         1.5               0.8         2       0.5157167
##   10.00   9         1.5               0.8         3       0.5157167
##   10.00   9         1.5               0.8         4       0.5157167
##   10.00   9         1.5               0.8         5       0.5157167
##   10.00   9         1.5               0.8         6       0.5157167
##   10.00   9         1.5               0.8         7       0.5157167
##   10.00   9         1.5               0.8         8       0.5157167
##   10.00   9         1.5               0.8         9       0.5157167
##   10.00   9         1.5               0.8        10       0.5157167
##   10.00   9         1.5               0.8        11       0.5157167
##   10.00   9         1.5               0.8        12       0.5157167
##   10.00   9         1.5               0.8        15       0.5157167
##   10.00   9         1.5               1.0         1       0.5157167
##   10.00   9         1.5               1.0         2       0.5157167
##   10.00   9         1.5               1.0         3       0.5157167
##   10.00   9         1.5               1.0         4       0.5157167
##   10.00   9         1.5               1.0         5       0.5157167
##   10.00   9         1.5               1.0         6       0.5157167
##   10.00   9         1.5               1.0         7       0.5157167
##   10.00   9         1.5               1.0         8       0.5157167
##   10.00   9         1.5               1.0         9       0.5157167
##   10.00   9         1.5               1.0        10       0.5157167
##   10.00   9         1.5               1.0        11       0.5157167
##   10.00   9         1.5               1.0        12       0.5157167
##   10.00   9         1.5               1.0        15       0.5157167
##   10.00  11         0.1               0.8         1       0.5969027
##   10.00  11         0.1               0.8         2       0.4914137
##   10.00  11         0.1               0.8         3       0.4916541
##   10.00  11         0.1               0.8         4       0.4916541
##   10.00  11         0.1               0.8         5       0.4916541
##   10.00  11         0.1               0.8         6       0.4916541
##   10.00  11         0.1               0.8         7       0.4916541
##   10.00  11         0.1               0.8         8       0.4916541
##   10.00  11         0.1               0.8         9       0.4916541
##   10.00  11         0.1               0.8        10       0.4916541
##   10.00  11         0.1               0.8        11       0.4916541
##   10.00  11         0.1               0.8        12       0.4916541
##   10.00  11         0.1               0.8        15       0.4916541
##   10.00  11         0.1               1.0         1       0.5922591
##   10.00  11         0.1               1.0         2       0.5414893
##   10.00  11         0.1               1.0         3       0.5414893
##   10.00  11         0.1               1.0         4       0.5414893
##   10.00  11         0.1               1.0         5       0.5414893
##   10.00  11         0.1               1.0         6       0.5414893
##   10.00  11         0.1               1.0         7       0.5414893
##   10.00  11         0.1               1.0         8       0.5414893
##   10.00  11         0.1               1.0         9       0.5414893
##   10.00  11         0.1               1.0        10       0.5414893
##   10.00  11         0.1               1.0        11       0.5414893
##   10.00  11         0.1               1.0        12       0.5414893
##   10.00  11         0.1               1.0        15       0.5414893
##   10.00  11         0.5               0.8         1       0.7726509
##   10.00  11         0.5               0.8         2       0.4188191
##   10.00  11         0.5               0.8         3       0.5364944
##   10.00  11         0.5               0.8         4       0.5395960
##   10.00  11         0.5               0.8         5       0.5395960
##   10.00  11         0.5               0.8         6       0.5395960
##   10.00  11         0.5               0.8         7       0.5395960
##   10.00  11         0.5               0.8         8       0.5395960
##   10.00  11         0.5               0.8         9       0.5395960
##   10.00  11         0.5               0.8        10       0.5395960
##   10.00  11         0.5               0.8        11       0.5395960
##   10.00  11         0.5               0.8        12       0.5395960
##   10.00  11         0.5               0.8        15       0.5395960
##   10.00  11         0.5               1.0         1       0.7639249
##   10.00  11         0.5               1.0         2       0.3957392
##   10.00  11         0.5               1.0         3       0.5560589
##   10.00  11         0.5               1.0         4       0.5539281
##   10.00  11         0.5               1.0         5       0.5672394
##   10.00  11         0.5               1.0         6       0.5672394
##   10.00  11         0.5               1.0         7       0.5672394
##   10.00  11         0.5               1.0         8       0.5672394
##   10.00  11         0.5               1.0         9       0.5672394
##   10.00  11         0.5               1.0        10       0.5672394
##   10.00  11         0.5               1.0        11       0.5672394
##   10.00  11         0.5               1.0        12       0.5672394
##   10.00  11         0.5               1.0        15       0.5672394
##   10.00  11         0.7               0.8         1       0.7711955
##   10.00  11         0.7               0.8         2       0.4148706
##   10.00  11         0.7               0.8         3       0.5994268
##   10.00  11         0.7               0.8         4       0.5963774
##   10.00  11         0.7               0.8         5       0.5963774
##   10.00  11         0.7               0.8         6       0.5963774
##   10.00  11         0.7               0.8         7       0.5963774
##   10.00  11         0.7               0.8         8       0.5963774
##   10.00  11         0.7               0.8         9       0.5963774
##   10.00  11         0.7               0.8        10       0.5963774
##   10.00  11         0.7               0.8        11       0.5963774
##   10.00  11         0.7               0.8        12       0.5963774
##   10.00  11         0.7               0.8        15       0.5963774
##   10.00  11         0.7               1.0         1       0.7661466
##   10.00  11         0.7               1.0         2       0.3750752
##   10.00  11         0.7               1.0         3       0.5741456
##   10.00  11         0.7               1.0         4       0.5739939
##   10.00  11         0.7               1.0         5       0.5739939
##   10.00  11         0.7               1.0         6       0.5739939
##   10.00  11         0.7               1.0         7       0.5739939
##   10.00  11         0.7               1.0         8       0.5739939
##   10.00  11         0.7               1.0         9       0.5739939
##   10.00  11         0.7               1.0        10       0.5739939
##   10.00  11         0.7               1.0        11       0.5739939
##   10.00  11         0.7               1.0        12       0.5739939
##   10.00  11         0.7               1.0        15       0.5739939
##   10.00  11         1.0               0.8         1       0.8084516
##   10.00  11         1.0               0.8         2       0.4571478
##   10.00  11         1.0               0.8         3       0.5365112
##   10.00  11         1.0               0.8         4       0.5372323
##   10.00  11         1.0               0.8         5       0.5274367
##   10.00  11         1.0               0.8         6       0.5274367
##   10.00  11         1.0               0.8         7       0.5274367
##   10.00  11         1.0               0.8         8       0.5274367
##   10.00  11         1.0               0.8         9       0.5274367
##   10.00  11         1.0               0.8        10       0.5274367
##   10.00  11         1.0               0.8        11       0.5274367
##   10.00  11         1.0               0.8        12       0.5274367
##   10.00  11         1.0               0.8        15       0.5274367
##   10.00  11         1.0               1.0         1       0.8133229
##   10.00  11         1.0               1.0         2       0.4198989
##   10.00  11         1.0               1.0         3       0.5536277
##   10.00  11         1.0               1.0         4       0.5540802
##   10.00  11         1.0               1.0         5       0.5540802
##   10.00  11         1.0               1.0         6       0.5540802
##   10.00  11         1.0               1.0         7       0.5540802
##   10.00  11         1.0               1.0         8       0.5540802
##   10.00  11         1.0               1.0         9       0.5540802
##   10.00  11         1.0               1.0        10       0.5540802
##   10.00  11         1.0               1.0        11       0.5540802
##   10.00  11         1.0               1.0        12       0.5540802
##   10.00  11         1.0               1.0        15       0.5540802
##   10.00  11         1.5               0.8         1       0.5157167
##   10.00  11         1.5               0.8         2       0.5157167
##   10.00  11         1.5               0.8         3       0.5157167
##   10.00  11         1.5               0.8         4       0.5157167
##   10.00  11         1.5               0.8         5       0.5157167
##   10.00  11         1.5               0.8         6       0.5157167
##   10.00  11         1.5               0.8         7       0.5157167
##   10.00  11         1.5               0.8         8       0.5157167
##   10.00  11         1.5               0.8         9       0.5157167
##   10.00  11         1.5               0.8        10       0.5157167
##   10.00  11         1.5               0.8        11       0.5157167
##   10.00  11         1.5               0.8        12       0.5157167
##   10.00  11         1.5               0.8        15       0.5157167
##   10.00  11         1.5               1.0         1       0.5157167
##   10.00  11         1.5               1.0         2       0.5157167
##   10.00  11         1.5               1.0         3       0.5157167
##   10.00  11         1.5               1.0         4       0.5157167
##   10.00  11         1.5               1.0         5       0.5157167
##   10.00  11         1.5               1.0         6       0.5157167
##   10.00  11         1.5               1.0         7       0.5157167
##   10.00  11         1.5               1.0         8       0.5157167
##   10.00  11         1.5               1.0         9       0.5157167
##   10.00  11         1.5               1.0        10       0.5157167
##   10.00  11         1.5               1.0        11       0.5157167
##   10.00  11         1.5               1.0        12       0.5157167
##   10.00  11         1.5               1.0        15       0.5157167
##   10.00  13         0.1               0.8         1       0.5975849
##   10.00  13         0.1               0.8         2       0.5101217
##   10.00  13         0.1               0.8         3       0.5199439
##   10.00  13         0.1               0.8         4       0.5199439
##   10.00  13         0.1               0.8         5       0.5254869
##   10.00  13         0.1               0.8         6       0.5254869
##   10.00  13         0.1               0.8         7       0.5254869
##   10.00  13         0.1               0.8         8       0.5254869
##   10.00  13         0.1               0.8         9       0.5254869
##   10.00  13         0.1               0.8        10       0.5254869
##   10.00  13         0.1               0.8        11       0.5254869
##   10.00  13         0.1               0.8        12       0.5254869
##   10.00  13         0.1               0.8        15       0.5254869
##   10.00  13         0.1               1.0         1       0.5922591
##   10.00  13         0.1               1.0         2       0.5414893
##   10.00  13         0.1               1.0         3       0.5414893
##   10.00  13         0.1               1.0         4       0.5414893
##   10.00  13         0.1               1.0         5       0.5414893
##   10.00  13         0.1               1.0         6       0.5414893
##   10.00  13         0.1               1.0         7       0.5414893
##   10.00  13         0.1               1.0         8       0.5414893
##   10.00  13         0.1               1.0         9       0.5414893
##   10.00  13         0.1               1.0        10       0.5414893
##   10.00  13         0.1               1.0        11       0.5414893
##   10.00  13         0.1               1.0        12       0.5414893
##   10.00  13         0.1               1.0        15       0.5414893
##   10.00  13         0.5               0.8         1       0.7640792
##   10.00  13         0.5               0.8         2       0.4157404
##   10.00  13         0.5               0.8         3       0.5246650
##   10.00  13         0.5               0.8         4       0.5246650
##   10.00  13         0.5               0.8         5       0.5438957
##   10.00  13         0.5               0.8         6       0.5438957
##   10.00  13         0.5               0.8         7       0.5438957
##   10.00  13         0.5               0.8         8       0.5438957
##   10.00  13         0.5               0.8         9       0.5438957
##   10.00  13         0.5               0.8        10       0.5438957
##   10.00  13         0.5               0.8        11       0.5438957
##   10.00  13         0.5               0.8        12       0.5438957
##   10.00  13         0.5               0.8        15       0.5438957
##   10.00  13         0.5               1.0         1       0.7642890
##   10.00  13         0.5               1.0         2       0.3910365
##   10.00  13         0.5               1.0         3       0.5582131
##   10.00  13         0.5               1.0         4       0.5560823
##   10.00  13         0.5               1.0         5       0.5693936
##   10.00  13         0.5               1.0         6       0.5693936
##   10.00  13         0.5               1.0         7       0.5693936
##   10.00  13         0.5               1.0         8       0.5693936
##   10.00  13         0.5               1.0         9       0.5693936
##   10.00  13         0.5               1.0        10       0.5693936
##   10.00  13         0.5               1.0        11       0.5693936
##   10.00  13         0.5               1.0        12       0.5693936
##   10.00  13         0.5               1.0        15       0.5693936
##   10.00  13         0.7               0.8         1       0.7635738
##   10.00  13         0.7               0.8         2       0.4165397
##   10.00  13         0.7               0.8         3       0.4957425
##   10.00  13         0.7               0.8         4       0.5034466
##   10.00  13         0.7               0.8         5       0.5023544
##   10.00  13         0.7               0.8         6       0.5023544
##   10.00  13         0.7               0.8         7       0.5023544
##   10.00  13         0.7               0.8         8       0.5023544
##   10.00  13         0.7               0.8         9       0.5023544
##   10.00  13         0.7               0.8        10       0.5023544
##   10.00  13         0.7               0.8        11       0.5023544
##   10.00  13         0.7               0.8        12       0.5023544
##   10.00  13         0.7               0.8        15       0.5023544
##   10.00  13         0.7               1.0         1       0.7662609
##   10.00  13         0.7               1.0         2       0.3802437
##   10.00  13         0.7               1.0         3       0.5697481
##   10.00  13         0.7               1.0         4       0.5695964
##   10.00  13         0.7               1.0         5       0.5695964
##   10.00  13         0.7               1.0         6       0.5695964
##   10.00  13         0.7               1.0         7       0.5695964
##   10.00  13         0.7               1.0         8       0.5695964
##   10.00  13         0.7               1.0         9       0.5695964
##   10.00  13         0.7               1.0        10       0.5695964
##   10.00  13         0.7               1.0        11       0.5695964
##   10.00  13         0.7               1.0        12       0.5695964
##   10.00  13         0.7               1.0        15       0.5695964
##   10.00  13         1.0               0.8         1       0.8188743
##   10.00  13         1.0               0.8         2       0.5047627
##   10.00  13         1.0               0.8         3       0.5241510
##   10.00  13         1.0               0.8         4       0.5183230
##   10.00  13         1.0               0.8         5       0.5203592
##   10.00  13         1.0               0.8         6       0.5203592
##   10.00  13         1.0               0.8         7       0.5203592
##   10.00  13         1.0               0.8         8       0.5203592
##   10.00  13         1.0               0.8         9       0.5203592
##   10.00  13         1.0               0.8        10       0.5203592
##   10.00  13         1.0               0.8        11       0.5203592
##   10.00  13         1.0               0.8        12       0.5203592
##   10.00  13         1.0               0.8        15       0.5203592
##   10.00  13         1.0               1.0         1       0.8133229
##   10.00  13         1.0               1.0         2       0.4198989
##   10.00  13         1.0               1.0         3       0.5536277
##   10.00  13         1.0               1.0         4       0.5540802
##   10.00  13         1.0               1.0         5       0.5540802
##   10.00  13         1.0               1.0         6       0.5540802
##   10.00  13         1.0               1.0         7       0.5540802
##   10.00  13         1.0               1.0         8       0.5540802
##   10.00  13         1.0               1.0         9       0.5540802
##   10.00  13         1.0               1.0        10       0.5540802
##   10.00  13         1.0               1.0        11       0.5540802
##   10.00  13         1.0               1.0        12       0.5540802
##   10.00  13         1.0               1.0        15       0.5540802
##   10.00  13         1.5               0.8         1       0.5157167
##   10.00  13         1.5               0.8         2       0.5157167
##   10.00  13         1.5               0.8         3       0.5157167
##   10.00  13         1.5               0.8         4       0.5157167
##   10.00  13         1.5               0.8         5       0.5157167
##   10.00  13         1.5               0.8         6       0.5157167
##   10.00  13         1.5               0.8         7       0.5157167
##   10.00  13         1.5               0.8         8       0.5157167
##   10.00  13         1.5               0.8         9       0.5157167
##   10.00  13         1.5               0.8        10       0.5157167
##   10.00  13         1.5               0.8        11       0.5157167
##   10.00  13         1.5               0.8        12       0.5157167
##   10.00  13         1.5               0.8        15       0.5157167
##   10.00  13         1.5               1.0         1       0.5157167
##   10.00  13         1.5               1.0         2       0.5157167
##   10.00  13         1.5               1.0         3       0.5157167
##   10.00  13         1.5               1.0         4       0.5157167
##   10.00  13         1.5               1.0         5       0.5157167
##   10.00  13         1.5               1.0         6       0.5157167
##   10.00  13         1.5               1.0         7       0.5157167
##   10.00  13         1.5               1.0         8       0.5157167
##   10.00  13         1.5               1.0         9       0.5157167
##   10.00  13         1.5               1.0        10       0.5157167
##   10.00  13         1.5               1.0        11       0.5157167
##   10.00  13         1.5               1.0        12       0.5157167
##   10.00  13         1.5               1.0        15       0.5157167
##   10.00  15         0.1               0.8         1       0.6079453
##   10.00  15         0.1               0.8         2       0.4942493
##   10.00  15         0.1               0.8         3       0.4891686
##   10.00  15         0.1               0.8         4       0.4891686
##   10.00  15         0.1               0.8         5       0.4891686
##   10.00  15         0.1               0.8         6       0.4891686
##   10.00  15         0.1               0.8         7       0.4891686
##   10.00  15         0.1               0.8         8       0.4891686
##   10.00  15         0.1               0.8         9       0.4891686
##   10.00  15         0.1               0.8        10       0.4891686
##   10.00  15         0.1               0.8        11       0.4891686
##   10.00  15         0.1               0.8        12       0.4891686
##   10.00  15         0.1               0.8        15       0.4891686
##   10.00  15         0.1               1.0         1       0.5922591
##   10.00  15         0.1               1.0         2       0.5414893
##   10.00  15         0.1               1.0         3       0.5414893
##   10.00  15         0.1               1.0         4       0.5414893
##   10.00  15         0.1               1.0         5       0.5414893
##   10.00  15         0.1               1.0         6       0.5414893
##   10.00  15         0.1               1.0         7       0.5414893
##   10.00  15         0.1               1.0         8       0.5414893
##   10.00  15         0.1               1.0         9       0.5414893
##   10.00  15         0.1               1.0        10       0.5414893
##   10.00  15         0.1               1.0        11       0.5414893
##   10.00  15         0.1               1.0        12       0.5414893
##   10.00  15         0.1               1.0        15       0.5414893
##   10.00  15         0.5               0.8         1       0.7677273
##   10.00  15         0.5               0.8         2       0.4232437
##   10.00  15         0.5               0.8         3       0.5119458
##   10.00  15         0.5               0.8         4       0.5100632
##   10.00  15         0.5               0.8         5       0.5100632
##   10.00  15         0.5               0.8         6       0.5100632
##   10.00  15         0.5               0.8         7       0.5100632
##   10.00  15         0.5               0.8         8       0.5100632
##   10.00  15         0.5               0.8         9       0.5100632
##   10.00  15         0.5               0.8        10       0.5100632
##   10.00  15         0.5               0.8        11       0.5100632
##   10.00  15         0.5               0.8        12       0.5100632
##   10.00  15         0.5               0.8        15       0.5100632
##   10.00  15         0.5               1.0         1       0.7642890
##   10.00  15         0.5               1.0         2       0.3910365
##   10.00  15         0.5               1.0         3       0.5582131
##   10.00  15         0.5               1.0         4       0.5560823
##   10.00  15         0.5               1.0         5       0.5693936
##   10.00  15         0.5               1.0         6       0.5693936
##   10.00  15         0.5               1.0         7       0.5693936
##   10.00  15         0.5               1.0         8       0.5693936
##   10.00  15         0.5               1.0         9       0.5693936
##   10.00  15         0.5               1.0        10       0.5693936
##   10.00  15         0.5               1.0        11       0.5693936
##   10.00  15         0.5               1.0        12       0.5693936
##   10.00  15         0.5               1.0        15       0.5693936
##   10.00  15         0.7               0.8         1       0.7502066
##   10.00  15         0.7               0.8         2       0.4273696
##   10.00  15         0.7               0.8         3       0.5390996
##   10.00  15         0.7               0.8         4       0.5433116
##   10.00  15         0.7               0.8         5       0.5433116
##   10.00  15         0.7               0.8         6       0.5433116
##   10.00  15         0.7               0.8         7       0.5433116
##   10.00  15         0.7               0.8         8       0.5433116
##   10.00  15         0.7               0.8         9       0.5433116
##   10.00  15         0.7               0.8        10       0.5433116
##   10.00  15         0.7               0.8        11       0.5433116
##   10.00  15         0.7               0.8        12       0.5433116
##   10.00  15         0.7               0.8        15       0.5433116
##   10.00  15         0.7               1.0         1       0.7662609
##   10.00  15         0.7               1.0         2       0.3802437
##   10.00  15         0.7               1.0         3       0.5697481
##   10.00  15         0.7               1.0         4       0.5695964
##   10.00  15         0.7               1.0         5       0.5695964
##   10.00  15         0.7               1.0         6       0.5695964
##   10.00  15         0.7               1.0         7       0.5695964
##   10.00  15         0.7               1.0         8       0.5695964
##   10.00  15         0.7               1.0         9       0.5695964
##   10.00  15         0.7               1.0        10       0.5695964
##   10.00  15         0.7               1.0        11       0.5695964
##   10.00  15         0.7               1.0        12       0.5695964
##   10.00  15         0.7               1.0        15       0.5695964
##   10.00  15         1.0               0.8         1       0.8233758
##   10.00  15         1.0               0.8         2       0.4706386
##   10.00  15         1.0               0.8         3       0.4883731
##   10.00  15         1.0               0.8         4       0.4885234
##   10.00  15         1.0               0.8         5       0.4792191
##   10.00  15         1.0               0.8         6       0.4792191
##   10.00  15         1.0               0.8         7       0.4792191
##   10.00  15         1.0               0.8         8       0.4792191
##   10.00  15         1.0               0.8         9       0.4792191
##   10.00  15         1.0               0.8        10       0.4792191
##   10.00  15         1.0               0.8        11       0.4792191
##   10.00  15         1.0               0.8        12       0.4792191
##   10.00  15         1.0               0.8        15       0.4792191
##   10.00  15         1.0               1.0         1       0.8133229
##   10.00  15         1.0               1.0         2       0.4198989
##   10.00  15         1.0               1.0         3       0.5536277
##   10.00  15         1.0               1.0         4       0.5540802
##   10.00  15         1.0               1.0         5       0.5540802
##   10.00  15         1.0               1.0         6       0.5540802
##   10.00  15         1.0               1.0         7       0.5540802
##   10.00  15         1.0               1.0         8       0.5540802
##   10.00  15         1.0               1.0         9       0.5540802
##   10.00  15         1.0               1.0        10       0.5540802
##   10.00  15         1.0               1.0        11       0.5540802
##   10.00  15         1.0               1.0        12       0.5540802
##   10.00  15         1.0               1.0        15       0.5540802
##   10.00  15         1.5               0.8         1       0.5157167
##   10.00  15         1.5               0.8         2       0.5157167
##   10.00  15         1.5               0.8         3       0.5157167
##   10.00  15         1.5               0.8         4       0.5157167
##   10.00  15         1.5               0.8         5       0.5157167
##   10.00  15         1.5               0.8         6       0.5157167
##   10.00  15         1.5               0.8         7       0.5157167
##   10.00  15         1.5               0.8         8       0.5157167
##   10.00  15         1.5               0.8         9       0.5157167
##   10.00  15         1.5               0.8        10       0.5157167
##   10.00  15         1.5               0.8        11       0.5157167
##   10.00  15         1.5               0.8        12       0.5157167
##   10.00  15         1.5               0.8        15       0.5157167
##   10.00  15         1.5               1.0         1       0.5157167
##   10.00  15         1.5               1.0         2       0.5157167
##   10.00  15         1.5               1.0         3       0.5157167
##   10.00  15         1.5               1.0         4       0.5157167
##   10.00  15         1.5               1.0         5       0.5157167
##   10.00  15         1.5               1.0         6       0.5157167
##   10.00  15         1.5               1.0         7       0.5157167
##   10.00  15         1.5               1.0         8       0.5157167
##   10.00  15         1.5               1.0         9       0.5157167
##   10.00  15         1.5               1.0        10       0.5157167
##   10.00  15         1.5               1.0        11       0.5157167
##   10.00  15         1.5               1.0        12       0.5157167
##   10.00  15         1.5               1.0        15       0.5157167
##   10.00  17         0.1               0.8         1       0.5969691
##   10.00  17         0.1               0.8         2       0.5124192
##   10.00  17         0.1               0.8         3       0.5265893
##   10.00  17         0.1               0.8         4       0.5265893
##   10.00  17         0.1               0.8         5       0.5265893
##   10.00  17         0.1               0.8         6       0.5265893
##   10.00  17         0.1               0.8         7       0.5265893
##   10.00  17         0.1               0.8         8       0.5265893
##   10.00  17         0.1               0.8         9       0.5265893
##   10.00  17         0.1               0.8        10       0.5265893
##   10.00  17         0.1               0.8        11       0.5265893
##   10.00  17         0.1               0.8        12       0.5265893
##   10.00  17         0.1               0.8        15       0.5265893
##   10.00  17         0.1               1.0         1       0.5922591
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##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##   0.05514706  0.99423077
##   0.57463235  0.40487304
##   0.39338235  0.60391150
##   0.39338235  0.60391150
##   0.49338235  0.50487304
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##   0.68676471  0.19619119
##   0.27536765  0.69597647
##   0.18750000  0.78844287
##   0.20625000  0.77873413
##   0.20625000  0.77873413
##   0.20625000  0.77873413
##   0.20625000  0.77873413
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##   0.20625000  0.77873413
##   0.20625000  0.77873413
##   0.20625000  0.77873413
##   0.20625000  0.77873413
##   0.43382353  0.93058252
##   0.70441176  0.14477222
##   0.12794118  0.97586819
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
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##   0.51507353  0.93631441
##   0.69117647  0.31610344
##   0.21286765  0.79895444
##   0.28455882  0.72557879
##   0.20808824  0.80634802
##   0.20808824  0.80634802
##   0.20808824  0.80634802
##   0.20808824  0.80634802
##   0.20808824  0.80634802
##   0.20808824  0.80634802
##   0.20808824  0.80634802
##   0.20808824  0.80634802
##   0.20808824  0.80634802
##   0.57573529  0.93055452
##   0.72352941  0.19484690
##   0.04227941  0.98364451
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##   0.05551471  0.99423077
##   0.88125000  0.10870986
##   0.70000000  0.29807692
##   0.70000000  0.28846154
##   0.70000000  0.28846154
##   0.70000000  0.28846154
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##   0.70000000  0.28846154
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##   0.04264706  0.99615385
##   0.71213235  0.29807692
##   0.61213235  0.39807692
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##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
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##   0.36617647  0.92090179
##   0.74154412  0.15410754
##   0.18639706  0.80961538
##   0.23014706  0.78459671
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##   0.31838235  0.93155340
##   0.69852941  0.13512883
##   0.09632353  0.97591486
##   0.13198529  0.95082151
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
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##   0.18198529  0.93062920
##   0.39227941  0.90744025
##   0.76470588  0.19295183
##   0.10000000  0.97593353
##   0.15404412  0.95285661
##   0.15404412  0.95285661
##   0.15404412  0.95285661
##   0.15404412  0.95285661
##   0.15404412  0.95285661
##   0.15404412  0.95285661
##   0.15404412  0.95285661
##   0.15404412  0.95285661
##   0.15404412  0.95285661
##   0.15404412  0.95285661
##   0.43382353  0.93058252
##   0.70441176  0.14477222
##   0.12794118  0.97586819
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.53492647  0.92672704
##   0.77867647  0.18494212
##   0.40330882  0.57219007
##   0.42205882  0.54334391
##   0.33382353  0.60776699
##   0.33382353  0.60776699
##   0.33382353  0.60776699
##   0.33382353  0.60776699
##   0.33382353  0.60776699
##   0.33382353  0.60776699
##   0.33382353  0.60776699
##   0.33382353  0.60776699
##   0.33382353  0.60776699
##   0.57573529  0.93055452
##   0.72352941  0.19484690
##   0.04227941  0.98364451
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##   0.04264706  0.99129948
##   0.78125000  0.20872853
##   0.50588235  0.50000000
##   0.50588235  0.50000000
##   0.50588235  0.50000000
##   0.50588235  0.50000000
##   0.50588235  0.50000000
##   0.50588235  0.50000000
##   0.50588235  0.50000000
##   0.50588235  0.50000000
##   0.50588235  0.50000000
##   0.50588235  0.50000000
##   0.50588235  0.50000000
##   0.04264706  0.99615385
##   0.71213235  0.29807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
##   0.61213235  0.39807692
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##   0.32500000  0.92773525
##   0.73235294  0.12830471
##   0.20477941  0.80379948
##   0.32352941  0.74392270
##   0.32352941  0.74392270
##   0.32352941  0.74392270
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##   0.32352941  0.74392270
##   0.32352941  0.74392270
##   0.32352941  0.74392270
##   0.31838235  0.93155340
##   0.69852941  0.13512883
##   0.09632353  0.97591486
##   0.13198529  0.95082151
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.18198529  0.93062920
##   0.40477941  0.90936333
##   0.63198529  0.18625840
##   0.24485294  0.71921210
##   0.24485294  0.71921210
##   0.24485294  0.71921210
##   0.16360294  0.81338686
##   0.16360294  0.81338686
##   0.16360294  0.81338686
##   0.08125000  0.90088686
##   0.08125000  0.90088686
##   0.08125000  0.90088686
##   0.08125000  0.90088686
##   0.08125000  0.90088686
##   0.43382353  0.93058252
##   0.70441176  0.14477222
##   0.12794118  0.97586819
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.15294118  0.97004294
##   0.45955882  0.93637043
##   0.72500000  0.17528940
##   0.23970588  0.80098021
##   0.25183824  0.77501867
##   0.25183824  0.77501867
##   0.17058824  0.86732636
##   0.17058824  0.86732636
##   0.17058824  0.86732636
##   0.17058824  0.86732636
##   0.17058824  0.86732636
##   0.17058824  0.86732636
##   0.17058824  0.86732636
##   0.17058824  0.86732636
##   0.57573529  0.93055452
##   0.72352941  0.19484690
##   0.04227941  0.98364451
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##   0.04227941  0.98172143
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
## 
## Tuning parameter 'gamma' was held constant at a value of 0
## 
## Tuning parameter 'min_child_weight' was held constant at a value of 1
## ROC was used to select the optimal model using  the largest value.
## The final values used for the model were nrounds = 15, max_depth = 5,
##  eta = 1, gamma = 0, colsample_bytree = 1, min_child_weight = 1
##  and subsample = 1.

4.2.2 choose best set of hyperparameters

*display the hyperparameters and model performance

xgb_model$results

4.2.3 ROC density graph

trellis.par.set(caretTheme())
densityplot(xgb_model, pch = "|")

#### 4.2.4 Feature importance

xgb_imp=varImp(xgb_model, scale = FALSE)
xgb_imp
## xgbTree variable importance
## 
##                      Overall
## alcohol              0.26272
## sulphates            0.12283
## volatile.acidity     0.10457
## pH                   0.08679
## total.sulfur.dioxide 0.07673
## citric.acid          0.07497
## free.sulfur.dioxide  0.07216
## density              0.06402
## residual.sugar       0.06028
## fixed.acidity        0.04312
## chlorides            0.03181
plot(xgb_imp, top = ncol(df_test)-1)

4.2.5 select top x (x=6) features to fit into models

x can be changed to 20, 25, 28, etc. when there are a large number of features

x_cols=c('alcohol','sulphates','volatile.acidity','free.sulfur.dioxide','total.sulfur.dioxide','fixed.acidity','target')

4.3.1 re-tune the model with top x features

xgb_grid=expand.grid(nrounds = c(1,2,3,4,5,6,7,8,9,10,11,12,15),
                    max_depth = c(3,5,7,9,11,13,15,17),
                    eta = c(0.01,0.05,.1,0.2,.5,1,5,10),
                    gamma = 0,
                    colsample_bytree = c(.1,.5,.7,1,1.5),
                    min_child_weight = 1,
                    subsample = c(.8, 1))

xgb_ctrl=trainControl(method = "repeatedcv",
                      number = 10,#10-fold cross validation
                      repeats = 1, #repeats once
                      classProbs = TRUE,# estimate class probabilities
                      summaryFunction = twoClassSummary #evaluate performance on training dataset
                      )


set.seed(1234)
xgb_model=train(target ~ ., data = df_train[,x_cols],
                 method = "xgbTree", 
                 trControl = xgb_ctrl, 
                 verbose = F, 
                 tuneGrid = xgb_grid,
                 metric = "ROC")
xgb_model
## eXtreme Gradient Boosting 
## 
## 1200 samples
##    6 predictor
##    2 classes: 'good', 'not.good' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold, repeated 1 times) 
## Summary of sample sizes: 1080, 1080, 1081, 1080, 1081, 1079, ... 
## Resampling results across tuning parameters:
## 
##   eta    max_depth  colsample_bytree  subsample  nrounds  ROC      
##    0.01   3         0.1               0.8         1       0.5157167
##    0.01   3         0.1               0.8         2       0.5157167
##    0.01   3         0.1               0.8         3       0.5157167
##    0.01   3         0.1               0.8         4       0.5157167
##    0.01   3         0.1               0.8         5       0.5157167
##    0.01   3         0.1               0.8         6       0.5157167
##    0.01   3         0.1               0.8         7       0.5157167
##    0.01   3         0.1               0.8         8       0.5157167
##    0.01   3         0.1               0.8         9       0.5157167
##    0.01   3         0.1               0.8        10       0.5157167
##    0.01   3         0.1               0.8        11       0.5157167
##    0.01   3         0.1               0.8        12       0.5157167
##    0.01   3         0.1               0.8        15       0.5157167
##    0.01   3         0.1               1.0         1       0.5157167
##    0.01   3         0.1               1.0         2       0.5157167
##    0.01   3         0.1               1.0         3       0.5157167
##    0.01   3         0.1               1.0         4       0.5157167
##    0.01   3         0.1               1.0         5       0.5157167
##    0.01   3         0.1               1.0         6       0.5157167
##    0.01   3         0.1               1.0         7       0.5157167
##    0.01   3         0.1               1.0         8       0.5157167
##    0.01   3         0.1               1.0         9       0.5157167
##    0.01   3         0.1               1.0        10       0.5157167
##    0.01   3         0.1               1.0        11       0.5157167
##    0.01   3         0.1               1.0        12       0.5157167
##    0.01   3         0.1               1.0        15       0.5157167
##    0.01   3         0.5               0.8         1       0.8088994
##    0.01   3         0.5               0.8         2       0.8273369
##    0.01   3         0.5               0.8         3       0.8371348
##    0.01   3         0.5               0.8         4       0.8467544
##    0.01   3         0.5               0.8         5       0.8478716
##    0.01   3         0.5               0.8         6       0.8482246
##    0.01   3         0.5               0.8         7       0.8507111
##    0.01   3         0.5               0.8         8       0.8505117
##    0.01   3         0.5               0.8         9       0.8541512
##    0.01   3         0.5               0.8        10       0.8558987
##    0.01   3         0.5               0.8        11       0.8560697
##    0.01   3         0.5               0.8        12       0.8604697
##    0.01   3         0.5               0.8        15       0.8622375
##    0.01   3         0.5               1.0         1       0.8140126
##    0.01   3         0.5               1.0         2       0.8134058
##    0.01   3         0.5               1.0         3       0.8139525
##    0.01   3         0.5               1.0         4       0.8194106
##    0.01   3         0.5               1.0         5       0.8197712
##    0.01   3         0.5               1.0         6       0.8196245
##    0.01   3         0.5               1.0         7       0.8196224
##    0.01   3         0.5               1.0         8       0.8192619
##    0.01   3         0.5               1.0         9       0.8195123
##    0.01   3         0.5               1.0        10       0.8195123
##    0.01   3         0.5               1.0        11       0.8192295
##    0.01   3         0.5               1.0        12       0.8202900
##    0.01   3         0.5               1.0        15       0.8203031
##    0.01   3         0.7               0.8         1       0.7984113
##    0.01   3         0.7               0.8         2       0.8364371
##    0.01   3         0.7               0.8         3       0.8507849
##    0.01   3         0.7               0.8         4       0.8508826
##    0.01   3         0.7               0.8         5       0.8547362
##    0.01   3         0.7               0.8         6       0.8584108
##    0.01   3         0.7               0.8         7       0.8573222
##    0.01   3         0.7               0.8         8       0.8636119
##    0.01   3         0.7               0.8         9       0.8626700
##    0.01   3         0.7               0.8        10       0.8627641
##    0.01   3         0.7               0.8        11       0.8638807
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##    0.01   3         0.7               0.8        15       0.8638942
##    0.01   3         0.7               1.0         1       0.8170590
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##    0.01   3         0.7               1.0         3       0.8172393
##    0.01   3         0.7               1.0         4       0.8235123
##    0.01   3         0.7               1.0         5       0.8233620
##    0.01   3         0.7               1.0         6       0.8232704
##    0.01   3         0.7               1.0         7       0.8227579
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##    0.01   3         0.7               1.0        11       0.8230928
##    0.01   3         0.7               1.0        12       0.8238741
##    0.01   3         0.7               1.0        15       0.8236834
##    0.01   3         1.0               0.8         1       0.8083861
##    0.01   3         1.0               0.8         2       0.8331301
##    0.01   3         1.0               0.8         3       0.8369178
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##    0.01   3         1.0               0.8         6       0.8461454
##    0.01   3         1.0               0.8         7       0.8546422
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##    0.01   3         1.0               0.8        10       0.8582328
##    0.01   3         1.0               0.8        11       0.8568303
##    0.01   3         1.0               0.8        12       0.8600447
##    0.01   3         1.0               0.8        15       0.8620994
##    0.01   3         1.0               1.0         1       0.8080276
##    0.01   3         1.0               1.0         2       0.8099260
##    0.01   3         1.0               1.0         3       0.8093038
##    0.01   3         1.0               1.0         4       0.8136219
##    0.01   3         1.0               1.0         5       0.8189404
##    0.01   3         1.0               1.0         6       0.8195626
##    0.01   3         1.0               1.0         7       0.8191383
##    0.01   3         1.0               1.0         8       0.8190293
##    0.01   3         1.0               1.0         9       0.8189728
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##    0.01   3         1.0               1.0        11       0.8191996
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##    0.01   3         1.5               0.8         1       0.5157167
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##    0.01   3         1.5               0.8         3       0.5157167
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##    0.01   3         1.5               0.8        10       0.5157167
##    0.01   3         1.5               0.8        11       0.5157167
##    0.01   3         1.5               0.8        12       0.5157167
##    0.01   3         1.5               0.8        15       0.5157167
##    0.01   3         1.5               1.0         1       0.5157167
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##    0.01   3         1.5               1.0         3       0.5157167
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##    0.01   3         1.5               1.0         7       0.5157167
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##    0.01   3         1.5               1.0         9       0.5157167
##    0.01   3         1.5               1.0        10       0.5157167
##    0.01   3         1.5               1.0        11       0.5157167
##    0.01   3         1.5               1.0        12       0.5157167
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##    0.01   5         0.1               0.8        10       0.5157167
##    0.01   5         0.1               0.8        11       0.5157167
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##    0.01   5         0.1               0.8        15       0.5157167
##    0.01   5         0.1               1.0         1       0.5157167
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##    0.01   5         0.1               1.0        10       0.5157167
##    0.01   5         0.1               1.0        11       0.5157167
##    0.01   5         0.1               1.0        12       0.5157167
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##    0.01   5         0.5               0.8         1       0.8211694
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##    0.01   5         0.5               0.8        11       0.8634490
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##    0.01   5         0.5               0.8        15       0.8641426
##    0.01   5         0.5               1.0         1       0.8245350
##    0.01   5         0.5               1.0         2       0.8266280
##    0.01   5         0.5               1.0         3       0.8267993
##    0.01   5         0.5               1.0         4       0.8328035
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##    1.00   3         0.5               1.0         7       0.8741261
##    1.00   3         0.5               1.0         8       0.8777491
##    1.00   3         0.5               1.0         9       0.8763264
##    1.00   3         0.5               1.0        10       0.8739494
##    1.00   3         0.5               1.0        11       0.8705324
##    1.00   3         0.5               1.0        12       0.8684844
##    1.00   3         0.5               1.0        15       0.8691240
##    1.00   3         0.7               0.8         1       0.8197381
##    1.00   3         0.7               0.8         2       0.8628194
##    1.00   3         0.7               0.8         3       0.8720343
##    1.00   3         0.7               0.8         4       0.8647110
##    1.00   3         0.7               0.8         5       0.8689602
##    1.00   3         0.7               0.8         6       0.8699825
##    1.00   3         0.7               0.8         7       0.8651364
##    1.00   3         0.7               0.8         8       0.8724711
##    1.00   3         0.7               0.8         9       0.8734191
##    1.00   3         0.7               0.8        10       0.8728966
##    1.00   3         0.7               0.8        11       0.8724588
##    1.00   3         0.7               0.8        12       0.8697233
##    1.00   3         0.7               0.8        15       0.8757124
##    1.00   3         0.7               1.0         1       0.8170590
##    1.00   3         0.7               1.0         2       0.8605164
##    1.00   3         0.7               1.0         3       0.8670655
##    1.00   3         0.7               1.0         4       0.8769865
##    1.00   3         0.7               1.0         5       0.8867706
##    1.00   3         0.7               1.0         6       0.8883035
##    1.00   3         0.7               1.0         7       0.8880151
##    1.00   3         0.7               1.0         8       0.8892049
##    1.00   3         0.7               1.0         9       0.8886012
##    1.00   3         0.7               1.0        10       0.8903458
##    1.00   3         0.7               1.0        11       0.8852330
##    1.00   3         0.7               1.0        12       0.8871489
##    1.00   3         0.7               1.0        15       0.8848622
##    1.00   3         1.0               0.8         1       0.7966367
##    1.00   3         1.0               0.8         2       0.8600403
##    1.00   3         1.0               0.8         3       0.8760150
##    1.00   3         1.0               0.8         4       0.8762636
##    1.00   3         1.0               0.8         5       0.8760081
##    1.00   3         1.0               0.8         6       0.8871658
##    1.00   3         1.0               0.8         7       0.8872500
##    1.00   3         1.0               0.8         8       0.8830908
##    1.00   3         1.0               0.8         9       0.8870325
##    1.00   3         1.0               0.8        10       0.8894628
##    1.00   3         1.0               0.8        11       0.8844997
##    1.00   3         1.0               0.8        12       0.8862113
##    1.00   3         1.0               0.8        15       0.8817779
##    1.00   3         1.0               1.0         1       0.8080276
##    1.00   3         1.0               1.0         2       0.8600276
##    1.00   3         1.0               1.0         3       0.8708712
##    1.00   3         1.0               1.0         4       0.8745121
##    1.00   3         1.0               1.0         5       0.8783650
##    1.00   3         1.0               1.0         6       0.8878132
##    1.00   3         1.0               1.0         7       0.8919805
##    1.00   3         1.0               1.0         8       0.8878063
##    1.00   3         1.0               1.0         9       0.8891148
##    1.00   3         1.0               1.0        10       0.8886904
##    1.00   3         1.0               1.0        11       0.8910335
##    1.00   3         1.0               1.0        12       0.8948609
##    1.00   3         1.0               1.0        15       0.8902951
##    1.00   3         1.5               0.8         1       0.5157167
##    1.00   3         1.5               0.8         2       0.5157167
##    1.00   3         1.5               0.8         3       0.5157167
##    1.00   3         1.5               0.8         4       0.5157167
##    1.00   3         1.5               0.8         5       0.5157167
##    1.00   3         1.5               0.8         6       0.5157167
##    1.00   3         1.5               0.8         7       0.5157167
##    1.00   3         1.5               0.8         8       0.5157167
##    1.00   3         1.5               0.8         9       0.5157167
##    1.00   3         1.5               0.8        10       0.5157167
##    1.00   3         1.5               0.8        11       0.5157167
##    1.00   3         1.5               0.8        12       0.5157167
##    1.00   3         1.5               0.8        15       0.5157167
##    1.00   3         1.5               1.0         1       0.5157167
##    1.00   3         1.5               1.0         2       0.5157167
##    1.00   3         1.5               1.0         3       0.5157167
##    1.00   3         1.5               1.0         4       0.5157167
##    1.00   3         1.5               1.0         5       0.5157167
##    1.00   3         1.5               1.0         6       0.5157167
##    1.00   3         1.5               1.0         7       0.5157167
##    1.00   3         1.5               1.0         8       0.5157167
##    1.00   3         1.5               1.0         9       0.5157167
##    1.00   3         1.5               1.0        10       0.5157167
##    1.00   3         1.5               1.0        11       0.5157167
##    1.00   3         1.5               1.0        12       0.5157167
##    1.00   3         1.5               1.0        15       0.5157167
##    1.00   5         0.1               0.8         1       0.5157167
##    1.00   5         0.1               0.8         2       0.5157167
##    1.00   5         0.1               0.8         3       0.5157167
##    1.00   5         0.1               0.8         4       0.5157167
##    1.00   5         0.1               0.8         5       0.5157167
##    1.00   5         0.1               0.8         6       0.5157167
##    1.00   5         0.1               0.8         7       0.5157167
##    1.00   5         0.1               0.8         8       0.5157167
##    1.00   5         0.1               0.8         9       0.5157167
##    1.00   5         0.1               0.8        10       0.5157167
##    1.00   5         0.1               0.8        11       0.5157167
##    1.00   5         0.1               0.8        12       0.5157167
##    1.00   5         0.1               0.8        15       0.5157167
##    1.00   5         0.1               1.0         1       0.5157167
##    1.00   5         0.1               1.0         2       0.5157167
##    1.00   5         0.1               1.0         3       0.5157167
##    1.00   5         0.1               1.0         4       0.5157167
##    1.00   5         0.1               1.0         5       0.5157167
##    1.00   5         0.1               1.0         6       0.5157167
##    1.00   5         0.1               1.0         7       0.5157167
##    1.00   5         0.1               1.0         8       0.5157167
##    1.00   5         0.1               1.0         9       0.5157167
##    1.00   5         0.1               1.0        10       0.5157167
##    1.00   5         0.1               1.0        11       0.5157167
##    1.00   5         0.1               1.0        12       0.5157167
##    1.00   5         0.1               1.0        15       0.5157167
##    1.00   5         0.5               0.8         1       0.7935041
##    1.00   5         0.5               0.8         2       0.8538390
##    1.00   5         0.5               0.8         3       0.8482971
##    1.00   5         0.5               0.8         4       0.8615947
##    1.00   5         0.5               0.8         5       0.8567591
##    1.00   5         0.5               0.8         6       0.8615939
##    1.00   5         0.5               0.8         7       0.8736151
##    1.00   5         0.5               0.8         8       0.8715366
##    1.00   5         0.5               0.8         9       0.8700174
##    1.00   5         0.5               0.8        10       0.8708732
##    1.00   5         0.5               0.8        11       0.8645228
##    1.00   5         0.5               0.8        12       0.8691332
##    1.00   5         0.5               0.8        15       0.8703505
##    1.00   5         0.5               1.0         1       0.8245350
##    1.00   5         0.5               1.0         2       0.8698045
##    1.00   5         0.5               1.0         3       0.8745800
##    1.00   5         0.5               1.0         4       0.8735182
##    1.00   5         0.5               1.0         5       0.8745920
##    1.00   5         0.5               1.0         6       0.8768613
##    1.00   5         0.5               1.0         7       0.8754112
##    1.00   5         0.5               1.0         8       0.8742841
##    1.00   5         0.5               1.0         9       0.8769243
##    1.00   5         0.5               1.0        10       0.8769789
##    1.00   5         0.5               1.0        11       0.8751960
##    1.00   5         0.5               1.0        12       0.8729028
##    1.00   5         0.5               1.0        15       0.8729132
##    1.00   5         0.7               0.8         1       0.8199002
##    1.00   5         0.7               0.8         2       0.8515524
##    1.00   5         0.7               0.8         3       0.8578335
##    1.00   5         0.7               0.8         4       0.8610063
##    1.00   5         0.7               0.8         5       0.8628514
##    1.00   5         0.7               0.8         6       0.8716230
##    1.00   5         0.7               0.8         7       0.8719684
##    1.00   5         0.7               0.8         8       0.8775006
##    1.00   5         0.7               0.8         9       0.8781879
##    1.00   5         0.7               0.8        10       0.8847340
##    1.00   5         0.7               0.8        11       0.8786701
##    1.00   5         0.7               0.8        12       0.8808961
##    1.00   5         0.7               0.8        15       0.8849813
##    1.00   5         0.7               1.0         1       0.8307453
##    1.00   5         0.7               1.0         2       0.8795019
##    1.00   5         0.7               1.0         3       0.8835036
##    1.00   5         0.7               1.0         4       0.8862669
##    1.00   5         0.7               1.0         5       0.8862704
##    1.00   5         0.7               1.0         6       0.8912722
##    1.00   5         0.7               1.0         7       0.8865269
##    1.00   5         0.7               1.0         8       0.8844727
##    1.00   5         0.7               1.0         9       0.8844811
##    1.00   5         0.7               1.0        10       0.8875978
##    1.00   5         0.7               1.0        11       0.8857670
##    1.00   5         0.7               1.0        12       0.8882451
##    1.00   5         0.7               1.0        15       0.8846086
##    1.00   5         1.0               0.8         1       0.8345294
##    1.00   5         1.0               0.8         2       0.8805629
##    1.00   5         1.0               0.8         3       0.8803367
##    1.00   5         1.0               0.8         4       0.8828541
##    1.00   5         1.0               0.8         5       0.8896839
##    1.00   5         1.0               0.8         6       0.8840377
##    1.00   5         1.0               0.8         7       0.8869484
##    1.00   5         1.0               0.8         8       0.8867171
##    1.00   5         1.0               0.8         9       0.8850645
##    1.00   5         1.0               0.8        10       0.8855965
##    1.00   5         1.0               0.8        11       0.8864599
##    1.00   5         1.0               0.8        12       0.8789492
##    1.00   5         1.0               0.8        15       0.8843773
##    1.00   5         1.0               1.0         1       0.8161628
##    1.00   5         1.0               1.0         2       0.8797432
##    1.00   5         1.0               1.0         3       0.8825604
##    1.00   5         1.0               1.0         4       0.8948754
##    1.00   5         1.0               1.0         5       0.8911408
##    1.00   5         1.0               1.0         6       0.8903179
##    1.00   5         1.0               1.0         7       0.8858441
##    1.00   5         1.0               1.0         8       0.8912544
##    1.00   5         1.0               1.0         9       0.8923335
##    1.00   5         1.0               1.0        10       0.8941450
##    1.00   5         1.0               1.0        11       0.8931793
##    1.00   5         1.0               1.0        12       0.8929224
##    1.00   5         1.0               1.0        15       0.8940753
##    1.00   5         1.5               0.8         1       0.5157167
##    1.00   5         1.5               0.8         2       0.5157167
##    1.00   5         1.5               0.8         3       0.5157167
##    1.00   5         1.5               0.8         4       0.5157167
##    1.00   5         1.5               0.8         5       0.5157167
##    1.00   5         1.5               0.8         6       0.5157167
##    1.00   5         1.5               0.8         7       0.5157167
##    1.00   5         1.5               0.8         8       0.5157167
##    1.00   5         1.5               0.8         9       0.5157167
##    1.00   5         1.5               0.8        10       0.5157167
##    1.00   5         1.5               0.8        11       0.5157167
##    1.00   5         1.5               0.8        12       0.5157167
##    1.00   5         1.5               0.8        15       0.5157167
##    1.00   5         1.5               1.0         1       0.5157167
##    1.00   5         1.5               1.0         2       0.5157167
##    1.00   5         1.5               1.0         3       0.5157167
##    1.00   5         1.5               1.0         4       0.5157167
##    1.00   5         1.5               1.0         5       0.5157167
##    1.00   5         1.5               1.0         6       0.5157167
##    1.00   5         1.5               1.0         7       0.5157167
##    1.00   5         1.5               1.0         8       0.5157167
##    1.00   5         1.5               1.0         9       0.5157167
##    1.00   5         1.5               1.0        10       0.5157167
##    1.00   5         1.5               1.0        11       0.5157167
##    1.00   5         1.5               1.0        12       0.5157167
##    1.00   5         1.5               1.0        15       0.5157167
##    1.00   7         0.1               0.8         1       0.5157167
##    1.00   7         0.1               0.8         2       0.5157167
##    1.00   7         0.1               0.8         3       0.5157167
##    1.00   7         0.1               0.8         4       0.5157167
##    1.00   7         0.1               0.8         5       0.5157167
##    1.00   7         0.1               0.8         6       0.5157167
##    1.00   7         0.1               0.8         7       0.5157167
##    1.00   7         0.1               0.8         8       0.5157167
##    1.00   7         0.1               0.8         9       0.5157167
##    1.00   7         0.1               0.8        10       0.5157167
##    1.00   7         0.1               0.8        11       0.5157167
##    1.00   7         0.1               0.8        12       0.5157167
##    1.00   7         0.1               0.8        15       0.5157167
##    1.00   7         0.1               1.0         1       0.5157167
##    1.00   7         0.1               1.0         2       0.5157167
##    1.00   7         0.1               1.0         3       0.5157167
##    1.00   7         0.1               1.0         4       0.5157167
##    1.00   7         0.1               1.0         5       0.5157167
##    1.00   7         0.1               1.0         6       0.5157167
##    1.00   7         0.1               1.0         7       0.5157167
##    1.00   7         0.1               1.0         8       0.5157167
##    1.00   7         0.1               1.0         9       0.5157167
##    1.00   7         0.1               1.0        10       0.5157167
##    1.00   7         0.1               1.0        11       0.5157167
##    1.00   7         0.1               1.0        12       0.5157167
##    1.00   7         0.1               1.0        15       0.5157167
##    1.00   7         0.5               0.8         1       0.8214864
##    1.00   7         0.5               0.8         2       0.8574544
##    1.00   7         0.5               0.8         3       0.8526533
##    1.00   7         0.5               0.8         4       0.8630615
##    1.00   7         0.5               0.8         5       0.8613912
##    1.00   7         0.5               0.8         6       0.8594847
##    1.00   7         0.5               0.8         7       0.8556407
##    1.00   7         0.5               0.8         8       0.8592036
##    1.00   7         0.5               0.8         9       0.8572366
##    1.00   7         0.5               0.8        10       0.8537612
##    1.00   7         0.5               0.8        11       0.8547673
##    1.00   7         0.5               0.8        12       0.8542172
##    1.00   7         0.5               0.8        15       0.8586905
##    1.00   7         0.5               1.0         1       0.8245807
##    1.00   7         0.5               1.0         2       0.8711860
##    1.00   7         0.5               1.0         3       0.8698898
##    1.00   7         0.5               1.0         4       0.8707429
##    1.00   7         0.5               1.0         5       0.8730649
##    1.00   7         0.5               1.0         6       0.8737430
##    1.00   7         0.5               1.0         7       0.8730590
##    1.00   7         0.5               1.0         8       0.8745196
##    1.00   7         0.5               1.0         9       0.8742407
##    1.00   7         0.5               1.0        10       0.8741491
##    1.00   7         0.5               1.0        11       0.8788272
##    1.00   7         0.5               1.0        12       0.8791338
##    1.00   7         0.5               1.0        15       0.8744994
##    1.00   7         0.7               0.8         1       0.8137465
##    1.00   7         0.7               0.8         2       0.8518235
##    1.00   7         0.7               0.8         3       0.8622861
##    1.00   7         0.7               0.8         4       0.8526291
##    1.00   7         0.7               0.8         5       0.8552621
##    1.00   7         0.7               0.8         6       0.8585104
##    1.00   7         0.7               0.8         7       0.8690622
##    1.00   7         0.7               0.8         8       0.8691432
##    1.00   7         0.7               0.8         9       0.8689207
##    1.00   7         0.7               0.8        10       0.8712787
##    1.00   7         0.7               0.8        11       0.8693662
##    1.00   7         0.7               0.8        12       0.8733094
##    1.00   7         0.7               0.8        15       0.8749422
##    1.00   7         0.7               1.0         1       0.8340760
##    1.00   7         0.7               1.0         2       0.8663719
##    1.00   7         0.7               1.0         3       0.8670385
##    1.00   7         0.7               1.0         4       0.8742137
##    1.00   7         0.7               1.0         5       0.8791531
##    1.00   7         0.7               1.0         6       0.8782825
##    1.00   7         0.7               1.0         7       0.8835087
##    1.00   7         0.7               1.0         8       0.8885076
##    1.00   7         0.7               1.0         9       0.8874579
##    1.00   7         0.7               1.0        10       0.8870556
##    1.00   7         0.7               1.0        11       0.8877997
##    1.00   7         0.7               1.0        12       0.8879185
##    1.00   7         0.7               1.0        15       0.8878431
##    1.00   7         1.0               0.8         1       0.8185823
##    1.00   7         1.0               0.8         2       0.8468303
##    1.00   7         1.0               0.8         3       0.8746717
##    1.00   7         1.0               0.8         4       0.8734372
##    1.00   7         1.0               0.8         5       0.8651290
##    1.00   7         1.0               0.8         6       0.8861890
##    1.00   7         1.0               0.8         7       0.8865388
##    1.00   7         1.0               0.8         8       0.8800358
##    1.00   7         1.0               0.8         9       0.8861713
##    1.00   7         1.0               0.8        10       0.8838359
##    1.00   7         1.0               0.8        11       0.8867445
##    1.00   7         1.0               0.8        12       0.8834569
##    1.00   7         1.0               0.8        15       0.8873386
##    1.00   7         1.0               1.0         1       0.8283646
##    1.00   7         1.0               1.0         2       0.8727023
##    1.00   7         1.0               1.0         3       0.8680574
##    1.00   7         1.0               1.0         4       0.8674896
##    1.00   7         1.0               1.0         5       0.8791312
##    1.00   7         1.0               1.0         6       0.8787367
##    1.00   7         1.0               1.0         7       0.8802016
##    1.00   7         1.0               1.0         8       0.8813775
##    1.00   7         1.0               1.0         9       0.8835629
##    1.00   7         1.0               1.0        10       0.8822237
##    1.00   7         1.0               1.0        11       0.8845117
##    1.00   7         1.0               1.0        12       0.8849192
##    1.00   7         1.0               1.0        15       0.8899920
##    1.00   7         1.5               0.8         1       0.5157167
##    1.00   7         1.5               0.8         2       0.5157167
##    1.00   7         1.5               0.8         3       0.5157167
##    1.00   7         1.5               0.8         4       0.5157167
##    1.00   7         1.5               0.8         5       0.5157167
##    1.00   7         1.5               0.8         6       0.5157167
##    1.00   7         1.5               0.8         7       0.5157167
##    1.00   7         1.5               0.8         8       0.5157167
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##    1.00   7         1.5               0.8        15       0.5157167
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##    1.00   7         1.5               1.0        10       0.5157167
##    1.00   7         1.5               1.0        11       0.5157167
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##    1.00   9         0.1               0.8        11       0.5157167
##    1.00   9         0.1               0.8        12       0.5157167
##    1.00   9         0.1               0.8        15       0.5157167
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##    1.00   9         0.1               1.0        12       0.5157167
##    1.00   9         0.1               1.0        15       0.5157167
##    1.00   9         0.5               0.8         1       0.8261539
##    1.00   9         0.5               0.8         2       0.8619594
##    1.00   9         0.5               0.8         3       0.8668394
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##    1.00   9         0.5               0.8         5       0.8640994
##    1.00   9         0.5               0.8         6       0.8635147
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##    1.00   9         0.5               0.8         8       0.8603594
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##    1.00   9         0.5               0.8        10       0.8605554
##    1.00   9         0.5               0.8        11       0.8580398
##    1.00   9         0.5               0.8        12       0.8604990
##    1.00   9         0.5               0.8        15       0.8541297
##    1.00   9         0.5               1.0         1       0.8265427
##    1.00   9         0.5               1.0         2       0.8679906
##    1.00   9         0.5               1.0         3       0.8759929
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##    1.00   9         0.5               1.0        10       0.8707683
##    1.00   9         0.5               1.0        11       0.8748673
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##    1.00   9         0.5               1.0        15       0.8653235
##    1.00   9         0.7               0.8         1       0.8312142
##    1.00   9         0.7               0.8         2       0.8631732
##    1.00   9         0.7               0.8         3       0.8649587
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##    1.00   9         0.7               0.8         8       0.8706694
##    1.00   9         0.7               0.8         9       0.8664044
##    1.00   9         0.7               0.8        10       0.8682772
##    1.00   9         0.7               0.8        11       0.8701070
##    1.00   9         0.7               0.8        12       0.8727003
##    1.00   9         0.7               0.8        15       0.8643798
##    1.00   9         0.7               1.0         1       0.8350117
##    1.00   9         0.7               1.0         2       0.8624404
##    1.00   9         0.7               1.0         3       0.8574421
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##    1.00   9         0.7               1.0         7       0.8776447
##    1.00   9         0.7               1.0         8       0.8797012
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##    1.00   9         0.7               1.0        10       0.8785518
##    1.00   9         0.7               1.0        11       0.8812691
##    1.00   9         0.7               1.0        12       0.8823198
##    1.00   9         0.7               1.0        15       0.8846827
##    1.00   9         1.0               0.8         1       0.8083362
##    1.00   9         1.0               0.8         2       0.8432348
##    1.00   9         1.0               0.8         3       0.8701383
##    1.00   9         1.0               0.8         4       0.8748416
##    1.00   9         1.0               0.8         5       0.8813953
##    1.00   9         1.0               0.8         6       0.8881301
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##    1.00   9         1.0               0.8        10       0.8898781
##    1.00   9         1.0               0.8        11       0.8900765
##    1.00   9         1.0               0.8        12       0.8938345
##    1.00   9         1.0               0.8        15       0.8980835
##    1.00   9         1.0               1.0         1       0.8293194
##    1.00   9         1.0               1.0         2       0.8705287
##    1.00   9         1.0               1.0         3       0.8664273
##    1.00   9         1.0               1.0         4       0.8862846
##    1.00   9         1.0               1.0         5       0.8868330
##    1.00   9         1.0               1.0         6       0.8923899
##    1.00   9         1.0               1.0         7       0.8888713
##    1.00   9         1.0               1.0         8       0.8870581
##    1.00   9         1.0               1.0         9       0.8919905
##    1.00   9         1.0               1.0        10       0.8925719
##    1.00   9         1.0               1.0        11       0.8912674
##    1.00   9         1.0               1.0        12       0.8905102
##    1.00   9         1.0               1.0        15       0.8918137
##    1.00   9         1.5               0.8         1       0.5157167
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##    1.00   9         1.5               0.8        10       0.5157167
##    1.00   9         1.5               0.8        11       0.5157167
##    1.00   9         1.5               0.8        12       0.5157167
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##    1.00   9         1.5               1.0        10       0.5157167
##    1.00   9         1.5               1.0        11       0.5157167
##    1.00   9         1.5               1.0        12       0.5157167
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##    1.00  11         0.1               0.8        12       0.5157167
##    1.00  11         0.1               0.8        15       0.5157167
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##    1.00  11         0.5               0.8         1       0.8244383
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##    1.00  17         1.5               0.8         7       0.5157167
##    1.00  17         1.5               0.8         8       0.5157167
##    1.00  17         1.5               0.8         9       0.5157167
##    1.00  17         1.5               0.8        10       0.5157167
##    1.00  17         1.5               0.8        11       0.5157167
##    1.00  17         1.5               0.8        12       0.5157167
##    1.00  17         1.5               0.8        15       0.5157167
##    1.00  17         1.5               1.0         1       0.5157167
##    1.00  17         1.5               1.0         2       0.5157167
##    1.00  17         1.5               1.0         3       0.5157167
##    1.00  17         1.5               1.0         4       0.5157167
##    1.00  17         1.5               1.0         5       0.5157167
##    1.00  17         1.5               1.0         6       0.5157167
##    1.00  17         1.5               1.0         7       0.5157167
##    1.00  17         1.5               1.0         8       0.5157167
##    1.00  17         1.5               1.0         9       0.5157167
##    1.00  17         1.5               1.0        10       0.5157167
##    1.00  17         1.5               1.0        11       0.5157167
##    1.00  17         1.5               1.0        12       0.5157167
##    1.00  17         1.5               1.0        15       0.5157167
##    5.00   3         0.1               0.8         1       0.5157167
##    5.00   3         0.1               0.8         2       0.5157167
##    5.00   3         0.1               0.8         3       0.5157167
##    5.00   3         0.1               0.8         4       0.5157167
##    5.00   3         0.1               0.8         5       0.5157167
##    5.00   3         0.1               0.8         6       0.5157167
##    5.00   3         0.1               0.8         7       0.5157167
##    5.00   3         0.1               0.8         8       0.5157167
##    5.00   3         0.1               0.8         9       0.5157167
##    5.00   3         0.1               0.8        10       0.5157167
##    5.00   3         0.1               0.8        11       0.5157167
##    5.00   3         0.1               0.8        12       0.5157167
##    5.00   3         0.1               0.8        15       0.5157167
##    5.00   3         0.1               1.0         1       0.5157167
##    5.00   3         0.1               1.0         2       0.5157167
##    5.00   3         0.1               1.0         3       0.5157167
##    5.00   3         0.1               1.0         4       0.5157167
##    5.00   3         0.1               1.0         5       0.5157167
##    5.00   3         0.1               1.0         6       0.5157167
##    5.00   3         0.1               1.0         7       0.5157167
##    5.00   3         0.1               1.0         8       0.5157167
##    5.00   3         0.1               1.0         9       0.5157167
##    5.00   3         0.1               1.0        10       0.5157167
##    5.00   3         0.1               1.0        11       0.5157167
##    5.00   3         0.1               1.0        12       0.5157167
##    5.00   3         0.1               1.0        15       0.5157167
##    5.00   3         0.5               0.8         1       0.8159472
##    5.00   3         0.5               0.8         2       0.2995471
##    5.00   3         0.5               0.8         3       0.6448305
##    5.00   3         0.5               0.8         4       0.6467578
##    5.00   3         0.5               0.8         5       0.6470653
##    5.00   3         0.5               0.8         6       0.6470653
##    5.00   3         0.5               0.8         7       0.6470653
##    5.00   3         0.5               0.8         8       0.6470653
##    5.00   3         0.5               0.8         9       0.6470653
##    5.00   3         0.5               0.8        10       0.6470653
##    5.00   3         0.5               0.8        11       0.6470653
##    5.00   3         0.5               0.8        12       0.6470653
##    5.00   3         0.5               0.8        15       0.6470653
##    5.00   3         0.5               1.0         1       0.8140126
##    5.00   3         0.5               1.0         2       0.2443184
##    5.00   3         0.5               1.0         3       0.6179025
##    5.00   3         0.5               1.0         4       0.6259612
##    5.00   3         0.5               1.0         5       0.6259612
##    5.00   3         0.5               1.0         6       0.6259612
##    5.00   3         0.5               1.0         7       0.6259612
##    5.00   3         0.5               1.0         8       0.6259612
##    5.00   3         0.5               1.0         9       0.6259612
##    5.00   3         0.5               1.0        10       0.6259612
##    5.00   3         0.5               1.0        11       0.6259612
##    5.00   3         0.5               1.0        12       0.6259612
##    5.00   3         0.5               1.0        15       0.6259612
##    5.00   3         0.7               0.8         1       0.8128568
##    5.00   3         0.7               0.8         2       0.3994987
##    5.00   3         0.7               0.8         3       0.5684589
##    5.00   3         0.7               0.8         4       0.5687810
##    5.00   3         0.7               0.8         5       0.5687569
##    5.00   3         0.7               0.8         6       0.5688711
##    5.00   3         0.7               0.8         7       0.5688711
##    5.00   3         0.7               0.8         8       0.5692138
##    5.00   3         0.7               0.8         9       0.5692138
##    5.00   3         0.7               0.8        10       0.5692138
##    5.00   3         0.7               0.8        11       0.5692138
##    5.00   3         0.7               0.8        12       0.5692138
##    5.00   3         0.7               0.8        15       0.5692138
##    5.00   3         0.7               1.0         1       0.8170590
##    5.00   3         0.7               1.0         2       0.3632863
##    5.00   3         0.7               1.0         3       0.5996509
##    5.00   3         0.7               1.0         4       0.5938499
##    5.00   3         0.7               1.0         5       0.5899471
##    5.00   3         0.7               1.0         6       0.5846870
##    5.00   3         0.7               1.0         7       0.5908521
##    5.00   3         0.7               1.0         8       0.5908521
##    5.00   3         0.7               1.0         9       0.5908521
##    5.00   3         0.7               1.0        10       0.5908521
##    5.00   3         0.7               1.0        11       0.5908521
##    5.00   3         0.7               1.0        12       0.5908521
##    5.00   3         0.7               1.0        15       0.5908521
##    5.00   3         1.0               0.8         1       0.8189586
##    5.00   3         1.0               0.8         2       0.2693528
##    5.00   3         1.0               0.8         3       0.5864188
##    5.00   3         1.0               0.8         4       0.6201639
##    5.00   3         1.0               0.8         5       0.6201639
##    5.00   3         1.0               0.8         6       0.6201639
##    5.00   3         1.0               0.8         7       0.6201639
##    5.00   3         1.0               0.8         8       0.6201639
##    5.00   3         1.0               0.8         9       0.6201639
##    5.00   3         1.0               0.8        10       0.6201639
##    5.00   3         1.0               0.8        11       0.6201639
##    5.00   3         1.0               0.8        12       0.6201639
##    5.00   3         1.0               0.8        15       0.6201639
##    5.00   3         1.0               1.0         1       0.8080276
##    5.00   3         1.0               1.0         2       0.3408019
##    5.00   3         1.0               1.0         3       0.5590184
##    5.00   3         1.0               1.0         4       0.5540605
##    5.00   3         1.0               1.0         5       0.5569150
##    5.00   3         1.0               1.0         6       0.5569150
##    5.00   3         1.0               1.0         7       0.5569150
##    5.00   3         1.0               1.0         8       0.5569150
##    5.00   3         1.0               1.0         9       0.5569150
##    5.00   3         1.0               1.0        10       0.5569150
##    5.00   3         1.0               1.0        11       0.5569150
##    5.00   3         1.0               1.0        12       0.5569150
##    5.00   3         1.0               1.0        15       0.5569150
##    5.00   3         1.5               0.8         1       0.5157167
##    5.00   3         1.5               0.8         2       0.5157167
##    5.00   3         1.5               0.8         3       0.5157167
##    5.00   3         1.5               0.8         4       0.5157167
##    5.00   3         1.5               0.8         5       0.5157167
##    5.00   3         1.5               0.8         6       0.5157167
##    5.00   3         1.5               0.8         7       0.5157167
##    5.00   3         1.5               0.8         8       0.5157167
##    5.00   3         1.5               0.8         9       0.5157167
##    5.00   3         1.5               0.8        10       0.5157167
##    5.00   3         1.5               0.8        11       0.5157167
##    5.00   3         1.5               0.8        12       0.5157167
##    5.00   3         1.5               0.8        15       0.5157167
##    5.00   3         1.5               1.0         1       0.5157167
##    5.00   3         1.5               1.0         2       0.5157167
##    5.00   3         1.5               1.0         3       0.5157167
##    5.00   3         1.5               1.0         4       0.5157167
##    5.00   3         1.5               1.0         5       0.5157167
##    5.00   3         1.5               1.0         6       0.5157167
##    5.00   3         1.5               1.0         7       0.5157167
##    5.00   3         1.5               1.0         8       0.5157167
##    5.00   3         1.5               1.0         9       0.5157167
##    5.00   3         1.5               1.0        10       0.5157167
##    5.00   3         1.5               1.0        11       0.5157167
##    5.00   3         1.5               1.0        12       0.5157167
##    5.00   3         1.5               1.0        15       0.5157167
##    5.00   5         0.1               0.8         1       0.5157167
##    5.00   5         0.1               0.8         2       0.5157167
##    5.00   5         0.1               0.8         3       0.5157167
##    5.00   5         0.1               0.8         4       0.5157167
##    5.00   5         0.1               0.8         5       0.5157167
##    5.00   5         0.1               0.8         6       0.5157167
##    5.00   5         0.1               0.8         7       0.5157167
##    5.00   5         0.1               0.8         8       0.5157167
##    5.00   5         0.1               0.8         9       0.5157167
##    5.00   5         0.1               0.8        10       0.5157167
##    5.00   5         0.1               0.8        11       0.5157167
##    5.00   5         0.1               0.8        12       0.5157167
##    5.00   5         0.1               0.8        15       0.5157167
##    5.00   5         0.1               1.0         1       0.5157167
##    5.00   5         0.1               1.0         2       0.5157167
##    5.00   5         0.1               1.0         3       0.5157167
##    5.00   5         0.1               1.0         4       0.5157167
##    5.00   5         0.1               1.0         5       0.5157167
##    5.00   5         0.1               1.0         6       0.5157167
##    5.00   5         0.1               1.0         7       0.5157167
##    5.00   5         0.1               1.0         8       0.5157167
##    5.00   5         0.1               1.0         9       0.5157167
##    5.00   5         0.1               1.0        10       0.5157167
##    5.00   5         0.1               1.0        11       0.5157167
##    5.00   5         0.1               1.0        12       0.5157167
##    5.00   5         0.1               1.0        15       0.5157167
##    5.00   5         0.5               0.8         1       0.8113941
##    5.00   5         0.5               0.8         2       0.2935597
##    5.00   5         0.5               0.8         3       0.6852984
##    5.00   5         0.5               0.8         4       0.6769556
##    5.00   5         0.5               0.8         5       0.6797574
##    5.00   5         0.5               0.8         6       0.6791830
##    5.00   5         0.5               0.8         7       0.6854931
##    5.00   5         0.5               0.8         8       0.6854931
##    5.00   5         0.5               0.8         9       0.6854931
##    5.00   5         0.5               0.8        10       0.6854931
##    5.00   5         0.5               0.8        11       0.6854931
##    5.00   5         0.5               0.8        12       0.6854931
##    5.00   5         0.5               0.8        15       0.6854931
##    5.00   5         0.5               1.0         1       0.8245350
##    5.00   5         0.5               1.0         2       0.2665204
##    5.00   5         0.5               1.0         3       0.7192249
##    5.00   5         0.5               1.0         4       0.7313027
##    5.00   5         0.5               1.0         5       0.7107640
##    5.00   5         0.5               1.0         6       0.7107640
##    5.00   5         0.5               1.0         7       0.7107640
##    5.00   5         0.5               1.0         8       0.7107640
##    5.00   5         0.5               1.0         9       0.7107640
##    5.00   5         0.5               1.0        10       0.7107640
##    5.00   5         0.5               1.0        11       0.7107640
##    5.00   5         0.5               1.0        12       0.7107640
##    5.00   5         0.5               1.0        15       0.7107640
##    5.00   5         0.7               0.8         1       0.8058392
##    5.00   5         0.7               0.8         2       0.3063986
##    5.00   5         0.7               0.8         3       0.6616107
##    5.00   5         0.7               0.8         4       0.6851238
##    5.00   5         0.7               0.8         5       0.6734965
##    5.00   5         0.7               0.8         6       0.6828055
##    5.00   5         0.7               0.8         7       0.6721544
##    5.00   5         0.7               0.8         8       0.6768946
##    5.00   5         0.7               0.8         9       0.6773515
##    5.00   5         0.7               0.8        10       0.6771230
##    5.00   5         0.7               0.8        11       0.6771230
##    5.00   5         0.7               0.8        12       0.6771230
##    5.00   5         0.7               0.8        15       0.6771230
##    5.00   5         0.7               1.0         1       0.8307453
##    5.00   5         0.7               1.0         2       0.2927357
##    5.00   5         0.7               1.0         3       0.6995994
##    5.00   5         0.7               1.0         4       0.6985289
##    5.00   5         0.7               1.0         5       0.6714856
##    5.00   5         0.7               1.0         6       0.6714856
##    5.00   5         0.7               1.0         7       0.6714856
##    5.00   5         0.7               1.0         8       0.6714856
##    5.00   5         0.7               1.0         9       0.6714856
##    5.00   5         0.7               1.0        10       0.6714856
##    5.00   5         0.7               1.0        11       0.6714856
##    5.00   5         0.7               1.0        12       0.6714856
##    5.00   5         0.7               1.0        15       0.6714856
##    5.00   5         1.0               0.8         1       0.8238156
##    5.00   5         1.0               0.8         2       0.3864116
##    5.00   5         1.0               0.8         3       0.6724872
##    5.00   5         1.0               0.8         4       0.6692685
##    5.00   5         1.0               0.8         5       0.6533436
##    5.00   5         1.0               0.8         6       0.6540717
##    5.00   5         1.0               0.8         7       0.6524940
##    5.00   5         1.0               0.8         8       0.6524940
##    5.00   5         1.0               0.8         9       0.6524940
##    5.00   5         1.0               0.8        10       0.6524940
##    5.00   5         1.0               0.8        11       0.6524940
##    5.00   5         1.0               0.8        12       0.6524940
##    5.00   5         1.0               0.8        15       0.6524940
##    5.00   5         1.0               1.0         1       0.8161628
##    5.00   5         1.0               1.0         2       0.3270738
##    5.00   5         1.0               1.0         3       0.7214427
##    5.00   5         1.0               1.0         4       0.7033840
##    5.00   5         1.0               1.0         5       0.6785342
##    5.00   5         1.0               1.0         6       0.6785342
##    5.00   5         1.0               1.0         7       0.6785342
##    5.00   5         1.0               1.0         8       0.6785342
##    5.00   5         1.0               1.0         9       0.6785342
##    5.00   5         1.0               1.0        10       0.6785342
##    5.00   5         1.0               1.0        11       0.6785342
##    5.00   5         1.0               1.0        12       0.6785342
##    5.00   5         1.0               1.0        15       0.6785342
##    5.00   5         1.5               0.8         1       0.5157167
##    5.00   5         1.5               0.8         2       0.5157167
##    5.00   5         1.5               0.8         3       0.5157167
##    5.00   5         1.5               0.8         4       0.5157167
##    5.00   5         1.5               0.8         5       0.5157167
##    5.00   5         1.5               0.8         6       0.5157167
##    5.00   5         1.5               0.8         7       0.5157167
##    5.00   5         1.5               0.8         8       0.5157167
##    5.00   5         1.5               0.8         9       0.5157167
##    5.00   5         1.5               0.8        10       0.5157167
##    5.00   5         1.5               0.8        11       0.5157167
##    5.00   5         1.5               0.8        12       0.5157167
##    5.00   5         1.5               0.8        15       0.5157167
##    5.00   5         1.5               1.0         1       0.5157167
##    5.00   5         1.5               1.0         2       0.5157167
##    5.00   5         1.5               1.0         3       0.5157167
##    5.00   5         1.5               1.0         4       0.5157167
##    5.00   5         1.5               1.0         5       0.5157167
##    5.00   5         1.5               1.0         6       0.5157167
##    5.00   5         1.5               1.0         7       0.5157167
##    5.00   5         1.5               1.0         8       0.5157167
##    5.00   5         1.5               1.0         9       0.5157167
##    5.00   5         1.5               1.0        10       0.5157167
##    5.00   5         1.5               1.0        11       0.5157167
##    5.00   5         1.5               1.0        12       0.5157167
##    5.00   5         1.5               1.0        15       0.5157167
##    5.00   7         0.1               0.8         1       0.5157167
##    5.00   7         0.1               0.8         2       0.5157167
##    5.00   7         0.1               0.8         3       0.5157167
##    5.00   7         0.1               0.8         4       0.5157167
##    5.00   7         0.1               0.8         5       0.5157167
##    5.00   7         0.1               0.8         6       0.5157167
##    5.00   7         0.1               0.8         7       0.5157167
##    5.00   7         0.1               0.8         8       0.5157167
##    5.00   7         0.1               0.8         9       0.5157167
##    5.00   7         0.1               0.8        10       0.5157167
##    5.00   7         0.1               0.8        11       0.5157167
##    5.00   7         0.1               0.8        12       0.5157167
##    5.00   7         0.1               0.8        15       0.5157167
##    5.00   7         0.1               1.0         1       0.5157167
##    5.00   7         0.1               1.0         2       0.5157167
##    5.00   7         0.1               1.0         3       0.5157167
##    5.00   7         0.1               1.0         4       0.5157167
##    5.00   7         0.1               1.0         5       0.5157167
##    5.00   7         0.1               1.0         6       0.5157167
##    5.00   7         0.1               1.0         7       0.5157167
##    5.00   7         0.1               1.0         8       0.5157167
##    5.00   7         0.1               1.0         9       0.5157167
##    5.00   7         0.1               1.0        10       0.5157167
##    5.00   7         0.1               1.0        11       0.5157167
##    5.00   7         0.1               1.0        12       0.5157167
##    5.00   7         0.1               1.0        15       0.5157167
##    5.00   7         0.5               0.8         1       0.8102873
##    5.00   7         0.5               0.8         2       0.2961243
##    5.00   7         0.5               0.8         3       0.7146874
##    5.00   7         0.5               0.8         4       0.7194883
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##    5.00   7         0.5               0.8         6       0.7192691
##    5.00   7         0.5               0.8         7       0.7192691
##    5.00   7         0.5               0.8         8       0.7192691
##    5.00   7         0.5               0.8         9       0.7192691
##    5.00   7         0.5               0.8        10       0.7192691
##    5.00   7         0.5               0.8        11       0.7192691
##    5.00   7         0.5               0.8        12       0.7192691
##    5.00   7         0.5               0.8        15       0.7192691
##    5.00   7         0.5               1.0         1       0.8245807
##    5.00   7         0.5               1.0         2       0.2552599
##    5.00   7         0.5               1.0         3       0.7474532
##    5.00   7         0.5               1.0         4       0.7376217
##    5.00   7         0.5               1.0         5       0.7238968
##    5.00   7         0.5               1.0         6       0.7339930
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##    5.00   7         0.7               0.8        11       0.7087374
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##    5.00   7         1.0               0.8         1       0.8303833
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##    5.00   7         1.0               0.8         3       0.6657017
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##    5.00   7         1.0               0.8        11       0.6709378
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##    5.00   7         1.0               0.8        15       0.6709378
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##    5.00   7         1.0               1.0        10       0.6537205
##    5.00   7         1.0               1.0        11       0.6537205
##    5.00   7         1.0               1.0        12       0.6537205
##    5.00   7         1.0               1.0        15       0.6537205
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##    5.00   7         1.5               0.8        11       0.5157167
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##    5.00   7         1.5               1.0         9       0.5157167
##    5.00   7         1.5               1.0        10       0.5157167
##    5.00   7         1.5               1.0        11       0.5157167
##    5.00   7         1.5               1.0        12       0.5157167
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##    5.00   9         0.1               0.8        10       0.5157167
##    5.00   9         0.1               0.8        11       0.5157167
##    5.00   9         0.1               0.8        12       0.5157167
##    5.00   9         0.1               0.8        15       0.5157167
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##    5.00   9         0.1               1.0         3       0.5157167
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##    5.00   9         0.1               1.0         5       0.5157167
##    5.00   9         0.1               1.0         6       0.5157167
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##    5.00   9         0.1               1.0        10       0.5157167
##    5.00   9         0.1               1.0        11       0.5157167
##    5.00   9         0.1               1.0        12       0.5157167
##    5.00   9         0.1               1.0        15       0.5157167
##    5.00   9         0.5               0.8         1       0.8033235
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##    5.00   9         0.5               0.8        10       0.6690474
##    5.00   9         0.5               0.8        11       0.6690474
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##    5.00   9         0.5               0.8        15       0.6690474
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##    5.00   9         0.7               0.8         1       0.8308050
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##    5.00   9         1.5               1.0        11       0.5157167
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##    5.00  11         0.1               0.8         1       0.5157167
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##    5.00  17         0.5               1.0         4       0.7303610
##    5.00  17         0.5               1.0         5       0.7157771
##    5.00  17         0.5               1.0         6       0.7179511
##    5.00  17         0.5               1.0         7       0.7115509
##    5.00  17         0.5               1.0         8       0.7053009
##    5.00  17         0.5               1.0         9       0.7053009
##    5.00  17         0.5               1.0        10       0.7053009
##    5.00  17         0.5               1.0        11       0.7053009
##    5.00  17         0.5               1.0        12       0.7053009
##    5.00  17         0.5               1.0        15       0.7053009
##    5.00  17         0.7               0.8         1       0.8045304
##    5.00  17         0.7               0.8         2       0.3179464
##    5.00  17         0.7               0.8         3       0.6686021
##    5.00  17         0.7               0.8         4       0.6963738
##    5.00  17         0.7               0.8         5       0.6946198
##    5.00  17         0.7               0.8         6       0.6946198
##    5.00  17         0.7               0.8         7       0.6946198
##    5.00  17         0.7               0.8         8       0.6946198
##    5.00  17         0.7               0.8         9       0.6946198
##    5.00  17         0.7               0.8        10       0.6946198
##    5.00  17         0.7               0.8        11       0.6946198
##    5.00  17         0.7               0.8        12       0.6946198
##    5.00  17         0.7               0.8        15       0.6946198
##    5.00  17         0.7               1.0         1       0.8350117
##    5.00  17         0.7               1.0         2       0.3226320
##    5.00  17         0.7               1.0         3       0.6973329
##    5.00  17         0.7               1.0         4       0.7161594
##    5.00  17         0.7               1.0         5       0.6947246
##    5.00  17         0.7               1.0         6       0.7172673
##    5.00  17         0.7               1.0         7       0.7130804
##    5.00  17         0.7               1.0         8       0.7125343
##    5.00  17         0.7               1.0         9       0.7125343
##    5.00  17         0.7               1.0        10       0.7125343
##    5.00  17         0.7               1.0        11       0.7125343
##    5.00  17         0.7               1.0        12       0.7125343
##    5.00  17         0.7               1.0        15       0.7125343
##    5.00  17         1.0               0.8         1       0.8123526
##    5.00  17         1.0               0.8         2       0.3380885
##    5.00  17         1.0               0.8         3       0.7307025
##    5.00  17         1.0               0.8         4       0.7360439
##    5.00  17         1.0               0.8         5       0.7158991
##    5.00  17         1.0               0.8         6       0.6928371
##    5.00  17         1.0               0.8         7       0.6928371
##    5.00  17         1.0               0.8         8       0.6928371
##    5.00  17         1.0               0.8         9       0.6928371
##    5.00  17         1.0               0.8        10       0.6928371
##    5.00  17         1.0               0.8        11       0.6928371
##    5.00  17         1.0               0.8        12       0.6928371
##    5.00  17         1.0               0.8        15       0.6928371
##    5.00  17         1.0               1.0         1       0.8293194
##    5.00  17         1.0               1.0         2       0.3497605
##    5.00  17         1.0               1.0         3       0.7544311
##    5.00  17         1.0               1.0         4       0.7235926
##    5.00  17         1.0               1.0         5       0.6369082
##    5.00  17         1.0               1.0         6       0.6716137
##    5.00  17         1.0               1.0         7       0.6476955
##    5.00  17         1.0               1.0         8       0.6476955
##    5.00  17         1.0               1.0         9       0.6476955
##    5.00  17         1.0               1.0        10       0.6476955
##    5.00  17         1.0               1.0        11       0.6476955
##    5.00  17         1.0               1.0        12       0.6476955
##    5.00  17         1.0               1.0        15       0.6476955
##    5.00  17         1.5               0.8         1       0.5157167
##    5.00  17         1.5               0.8         2       0.5157167
##    5.00  17         1.5               0.8         3       0.5157167
##    5.00  17         1.5               0.8         4       0.5157167
##    5.00  17         1.5               0.8         5       0.5157167
##    5.00  17         1.5               0.8         6       0.5157167
##    5.00  17         1.5               0.8         7       0.5157167
##    5.00  17         1.5               0.8         8       0.5157167
##    5.00  17         1.5               0.8         9       0.5157167
##    5.00  17         1.5               0.8        10       0.5157167
##    5.00  17         1.5               0.8        11       0.5157167
##    5.00  17         1.5               0.8        12       0.5157167
##    5.00  17         1.5               0.8        15       0.5157167
##    5.00  17         1.5               1.0         1       0.5157167
##    5.00  17         1.5               1.0         2       0.5157167
##    5.00  17         1.5               1.0         3       0.5157167
##    5.00  17         1.5               1.0         4       0.5157167
##    5.00  17         1.5               1.0         5       0.5157167
##    5.00  17         1.5               1.0         6       0.5157167
##    5.00  17         1.5               1.0         7       0.5157167
##    5.00  17         1.5               1.0         8       0.5157167
##    5.00  17         1.5               1.0         9       0.5157167
##    5.00  17         1.5               1.0        10       0.5157167
##    5.00  17         1.5               1.0        11       0.5157167
##    5.00  17         1.5               1.0        12       0.5157167
##    5.00  17         1.5               1.0        15       0.5157167
##   10.00   3         0.1               0.8         1       0.5157167
##   10.00   3         0.1               0.8         2       0.5157167
##   10.00   3         0.1               0.8         3       0.5157167
##   10.00   3         0.1               0.8         4       0.5157167
##   10.00   3         0.1               0.8         5       0.5157167
##   10.00   3         0.1               0.8         6       0.5157167
##   10.00   3         0.1               0.8         7       0.5157167
##   10.00   3         0.1               0.8         8       0.5157167
##   10.00   3         0.1               0.8         9       0.5157167
##   10.00   3         0.1               0.8        10       0.5157167
##   10.00   3         0.1               0.8        11       0.5157167
##   10.00   3         0.1               0.8        12       0.5157167
##   10.00   3         0.1               0.8        15       0.5157167
##   10.00   3         0.1               1.0         1       0.5157167
##   10.00   3         0.1               1.0         2       0.5157167
##   10.00   3         0.1               1.0         3       0.5157167
##   10.00   3         0.1               1.0         4       0.5157167
##   10.00   3         0.1               1.0         5       0.5157167
##   10.00   3         0.1               1.0         6       0.5157167
##   10.00   3         0.1               1.0         7       0.5157167
##   10.00   3         0.1               1.0         8       0.5157167
##   10.00   3         0.1               1.0         9       0.5157167
##   10.00   3         0.1               1.0        10       0.5157167
##   10.00   3         0.1               1.0        11       0.5157167
##   10.00   3         0.1               1.0        12       0.5157167
##   10.00   3         0.1               1.0        15       0.5157167
##   10.00   3         0.5               0.8         1       0.8104063
##   10.00   3         0.5               0.8         2       0.4277051
##   10.00   3         0.5               0.8         3       0.5122170
##   10.00   3         0.5               0.8         4       0.5133396
##   10.00   3         0.5               0.8         5       0.5133396
##   10.00   3         0.5               0.8         6       0.5133396
##   10.00   3         0.5               0.8         7       0.5133396
##   10.00   3         0.5               0.8         8       0.5133396
##   10.00   3         0.5               0.8         9       0.5133396
##   10.00   3         0.5               0.8        10       0.5133396
##   10.00   3         0.5               0.8        11       0.5133396
##   10.00   3         0.5               0.8        12       0.5133396
##   10.00   3         0.5               0.8        15       0.5133396
##   10.00   3         0.5               1.0         1       0.8140126
##   10.00   3         0.5               1.0         2       0.3493091
##   10.00   3         0.5               1.0         3       0.4259924
##   10.00   3         0.5               1.0         4       0.4259924
##   10.00   3         0.5               1.0         5       0.4259924
##   10.00   3         0.5               1.0         6       0.4259924
##   10.00   3         0.5               1.0         7       0.4259924
##   10.00   3         0.5               1.0         8       0.4259924
##   10.00   3         0.5               1.0         9       0.4259924
##   10.00   3         0.5               1.0        10       0.4259924
##   10.00   3         0.5               1.0        11       0.4259924
##   10.00   3         0.5               1.0        12       0.4259924
##   10.00   3         0.5               1.0        15       0.4259924
##   10.00   3         0.7               0.8         1       0.8134398
##   10.00   3         0.7               0.8         2       0.4315473
##   10.00   3         0.7               0.8         3       0.4774197
##   10.00   3         0.7               0.8         4       0.4774197
##   10.00   3         0.7               0.8         5       0.4774197
##   10.00   3         0.7               0.8         6       0.4774197
##   10.00   3         0.7               0.8         7       0.4774197
##   10.00   3         0.7               0.8         8       0.4774197
##   10.00   3         0.7               0.8         9       0.4774197
##   10.00   3         0.7               0.8        10       0.4774197
##   10.00   3         0.7               0.8        11       0.4774197
##   10.00   3         0.7               0.8        12       0.4774197
##   10.00   3         0.7               0.8        15       0.4774197
##   10.00   3         0.7               1.0         1       0.8170590
##   10.00   3         0.7               1.0         2       0.4498048
##   10.00   3         0.7               1.0         3       0.5325590
##   10.00   3         0.7               1.0         4       0.5325590
##   10.00   3         0.7               1.0         5       0.5325590
##   10.00   3         0.7               1.0         6       0.5325590
##   10.00   3         0.7               1.0         7       0.5325590
##   10.00   3         0.7               1.0         8       0.5325590
##   10.00   3         0.7               1.0         9       0.5325590
##   10.00   3         0.7               1.0        10       0.5325590
##   10.00   3         0.7               1.0        11       0.5325590
##   10.00   3         0.7               1.0        12       0.5325590
##   10.00   3         0.7               1.0        15       0.5325590
##   10.00   3         1.0               0.8         1       0.8037225
##   10.00   3         1.0               0.8         2       0.5086078
##   10.00   3         1.0               0.8         3       0.5288372
##   10.00   3         1.0               0.8         4       0.5276954
##   10.00   3         1.0               0.8         5       0.5276954
##   10.00   3         1.0               0.8         6       0.5276954
##   10.00   3         1.0               0.8         7       0.5276954
##   10.00   3         1.0               0.8         8       0.5276954
##   10.00   3         1.0               0.8         9       0.5276954
##   10.00   3         1.0               0.8        10       0.5276954
##   10.00   3         1.0               0.8        11       0.5276954
##   10.00   3         1.0               0.8        12       0.5276954
##   10.00   3         1.0               0.8        15       0.5276954
##   10.00   3         1.0               1.0         1       0.8080276
##   10.00   3         1.0               1.0         2       0.4041347
##   10.00   3         1.0               1.0         3       0.4419403
##   10.00   3         1.0               1.0         4       0.4419403
##   10.00   3         1.0               1.0         5       0.4419403
##   10.00   3         1.0               1.0         6       0.4419403
##   10.00   3         1.0               1.0         7       0.4419403
##   10.00   3         1.0               1.0         8       0.4419403
##   10.00   3         1.0               1.0         9       0.4419403
##   10.00   3         1.0               1.0        10       0.4419403
##   10.00   3         1.0               1.0        11       0.4419403
##   10.00   3         1.0               1.0        12       0.4419403
##   10.00   3         1.0               1.0        15       0.4419403
##   10.00   3         1.5               0.8         1       0.5157167
##   10.00   3         1.5               0.8         2       0.5157167
##   10.00   3         1.5               0.8         3       0.5157167
##   10.00   3         1.5               0.8         4       0.5157167
##   10.00   3         1.5               0.8         5       0.5157167
##   10.00   3         1.5               0.8         6       0.5157167
##   10.00   3         1.5               0.8         7       0.5157167
##   10.00   3         1.5               0.8         8       0.5157167
##   10.00   3         1.5               0.8         9       0.5157167
##   10.00   3         1.5               0.8        10       0.5157167
##   10.00   3         1.5               0.8        11       0.5157167
##   10.00   3         1.5               0.8        12       0.5157167
##   10.00   3         1.5               0.8        15       0.5157167
##   10.00   3         1.5               1.0         1       0.5157167
##   10.00   3         1.5               1.0         2       0.5157167
##   10.00   3         1.5               1.0         3       0.5157167
##   10.00   3         1.5               1.0         4       0.5157167
##   10.00   3         1.5               1.0         5       0.5157167
##   10.00   3         1.5               1.0         6       0.5157167
##   10.00   3         1.5               1.0         7       0.5157167
##   10.00   3         1.5               1.0         8       0.5157167
##   10.00   3         1.5               1.0         9       0.5157167
##   10.00   3         1.5               1.0        10       0.5157167
##   10.00   3         1.5               1.0        11       0.5157167
##   10.00   3         1.5               1.0        12       0.5157167
##   10.00   3         1.5               1.0        15       0.5157167
##   10.00   5         0.1               0.8         1       0.5157167
##   10.00   5         0.1               0.8         2       0.5157167
##   10.00   5         0.1               0.8         3       0.5157167
##   10.00   5         0.1               0.8         4       0.5157167
##   10.00   5         0.1               0.8         5       0.5157167
##   10.00   5         0.1               0.8         6       0.5157167
##   10.00   5         0.1               0.8         7       0.5157167
##   10.00   5         0.1               0.8         8       0.5157167
##   10.00   5         0.1               0.8         9       0.5157167
##   10.00   5         0.1               0.8        10       0.5157167
##   10.00   5         0.1               0.8        11       0.5157167
##   10.00   5         0.1               0.8        12       0.5157167
##   10.00   5         0.1               0.8        15       0.5157167
##   10.00   5         0.1               1.0         1       0.5157167
##   10.00   5         0.1               1.0         2       0.5157167
##   10.00   5         0.1               1.0         3       0.5157167
##   10.00   5         0.1               1.0         4       0.5157167
##   10.00   5         0.1               1.0         5       0.5157167
##   10.00   5         0.1               1.0         6       0.5157167
##   10.00   5         0.1               1.0         7       0.5157167
##   10.00   5         0.1               1.0         8       0.5157167
##   10.00   5         0.1               1.0         9       0.5157167
##   10.00   5         0.1               1.0        10       0.5157167
##   10.00   5         0.1               1.0        11       0.5157167
##   10.00   5         0.1               1.0        12       0.5157167
##   10.00   5         0.1               1.0        15       0.5157167
##   10.00   5         0.5               0.8         1       0.8098983
##   10.00   5         0.5               0.8         2       0.3646120
##   10.00   5         0.5               0.8         3       0.4769752
##   10.00   5         0.5               0.8         4       0.4768550
##   10.00   5         0.5               0.8         5       0.4768550
##   10.00   5         0.5               0.8         6       0.4768550
##   10.00   5         0.5               0.8         7       0.4768550
##   10.00   5         0.5               0.8         8       0.4768550
##   10.00   5         0.5               0.8         9       0.4768550
##   10.00   5         0.5               0.8        10       0.4768550
##   10.00   5         0.5               0.8        11       0.4768550
##   10.00   5         0.5               0.8        12       0.4768550
##   10.00   5         0.5               0.8        15       0.4768550
##   10.00   5         0.5               1.0         1       0.8245350
##   10.00   5         0.5               1.0         2       0.3199442
##   10.00   5         0.5               1.0         3       0.6188043
##   10.00   5         0.5               1.0         4       0.6310469
##   10.00   5         0.5               1.0         5       0.6310469
##   10.00   5         0.5               1.0         6       0.6310469
##   10.00   5         0.5               1.0         7       0.6310469
##   10.00   5         0.5               1.0         8       0.6310469
##   10.00   5         0.5               1.0         9       0.6310469
##   10.00   5         0.5               1.0        10       0.6310469
##   10.00   5         0.5               1.0        11       0.6310469
##   10.00   5         0.5               1.0        12       0.6310469
##   10.00   5         0.5               1.0        15       0.6310469
##   10.00   5         0.7               0.8         1       0.8194893
##   10.00   5         0.7               0.8         2       0.3612963
##   10.00   5         0.7               0.8         3       0.5294248
##   10.00   5         0.7               0.8         4       0.5530125
##   10.00   5         0.7               0.8         5       0.5530125
##   10.00   5         0.7               0.8         6       0.5706030
##   10.00   5         0.7               0.8         7       0.5706030
##   10.00   5         0.7               0.8         8       0.5704828
##   10.00   5         0.7               0.8         9       0.5704828
##   10.00   5         0.7               0.8        10       0.5704828
##   10.00   5         0.7               0.8        11       0.5704828
##   10.00   5         0.7               0.8        12       0.5704828
##   10.00   5         0.7               0.8        15       0.5704828
##   10.00   5         0.7               1.0         1       0.8307453
##   10.00   5         0.7               1.0         2       0.4226437
##   10.00   5         0.7               1.0         3       0.5617333
##   10.00   5         0.7               1.0         4       0.5580015
##   10.00   5         0.7               1.0         5       0.5577891
##   10.00   5         0.7               1.0         6       0.5577891
##   10.00   5         0.7               1.0         7       0.5577891
##   10.00   5         0.7               1.0         8       0.5577891
##   10.00   5         0.7               1.0         9       0.5577891
##   10.00   5         0.7               1.0        10       0.5577891
##   10.00   5         0.7               1.0        11       0.5577891
##   10.00   5         0.7               1.0        12       0.5577891
##   10.00   5         0.7               1.0        15       0.5577891
##   10.00   5         1.0               0.8         1       0.8050708
##   10.00   5         1.0               0.8         2       0.4286923
##   10.00   5         1.0               0.8         3       0.4990865
##   10.00   5         1.0               0.8         4       0.4990529
##   10.00   5         1.0               0.8         5       0.4990529
##   10.00   5         1.0               0.8         6       0.4990529
##   10.00   5         1.0               0.8         7       0.4990529
##   10.00   5         1.0               0.8         8       0.4990529
##   10.00   5         1.0               0.8         9       0.4990529
##   10.00   5         1.0               0.8        10       0.4990529
##   10.00   5         1.0               0.8        11       0.4990529
##   10.00   5         1.0               0.8        12       0.4990529
##   10.00   5         1.0               0.8        15       0.4990529
##   10.00   5         1.0               1.0         1       0.8161628
##   10.00   5         1.0               1.0         2       0.3663043
##   10.00   5         1.0               1.0         3       0.5340000
##   10.00   5         1.0               1.0         4       0.5256572
##   10.00   5         1.0               1.0         5       0.5256572
##   10.00   5         1.0               1.0         6       0.5256572
##   10.00   5         1.0               1.0         7       0.5256572
##   10.00   5         1.0               1.0         8       0.5256572
##   10.00   5         1.0               1.0         9       0.5256572
##   10.00   5         1.0               1.0        10       0.5256572
##   10.00   5         1.0               1.0        11       0.5256572
##   10.00   5         1.0               1.0        12       0.5256572
##   10.00   5         1.0               1.0        15       0.5256572
##   10.00   5         1.5               0.8         1       0.5157167
##   10.00   5         1.5               0.8         2       0.5157167
##   10.00   5         1.5               0.8         3       0.5157167
##   10.00   5         1.5               0.8         4       0.5157167
##   10.00   5         1.5               0.8         5       0.5157167
##   10.00   5         1.5               0.8         6       0.5157167
##   10.00   5         1.5               0.8         7       0.5157167
##   10.00   5         1.5               0.8         8       0.5157167
##   10.00   5         1.5               0.8         9       0.5157167
##   10.00   5         1.5               0.8        10       0.5157167
##   10.00   5         1.5               0.8        11       0.5157167
##   10.00   5         1.5               0.8        12       0.5157167
##   10.00   5         1.5               0.8        15       0.5157167
##   10.00   5         1.5               1.0         1       0.5157167
##   10.00   5         1.5               1.0         2       0.5157167
##   10.00   5         1.5               1.0         3       0.5157167
##   10.00   5         1.5               1.0         4       0.5157167
##   10.00   5         1.5               1.0         5       0.5157167
##   10.00   5         1.5               1.0         6       0.5157167
##   10.00   5         1.5               1.0         7       0.5157167
##   10.00   5         1.5               1.0         8       0.5157167
##   10.00   5         1.5               1.0         9       0.5157167
##   10.00   5         1.5               1.0        10       0.5157167
##   10.00   5         1.5               1.0        11       0.5157167
##   10.00   5         1.5               1.0        12       0.5157167
##   10.00   5         1.5               1.0        15       0.5157167
##   10.00   7         0.1               0.8         1       0.5157167
##   10.00   7         0.1               0.8         2       0.5157167
##   10.00   7         0.1               0.8         3       0.5157167
##   10.00   7         0.1               0.8         4       0.5157167
##   10.00   7         0.1               0.8         5       0.5157167
##   10.00   7         0.1               0.8         6       0.5157167
##   10.00   7         0.1               0.8         7       0.5157167
##   10.00   7         0.1               0.8         8       0.5157167
##   10.00   7         0.1               0.8         9       0.5157167
##   10.00   7         0.1               0.8        10       0.5157167
##   10.00   7         0.1               0.8        11       0.5157167
##   10.00   7         0.1               0.8        12       0.5157167
##   10.00   7         0.1               0.8        15       0.5157167
##   10.00   7         0.1               1.0         1       0.5157167
##   10.00   7         0.1               1.0         2       0.5157167
##   10.00   7         0.1               1.0         3       0.5157167
##   10.00   7         0.1               1.0         4       0.5157167
##   10.00   7         0.1               1.0         5       0.5157167
##   10.00   7         0.1               1.0         6       0.5157167
##   10.00   7         0.1               1.0         7       0.5157167
##   10.00   7         0.1               1.0         8       0.5157167
##   10.00   7         0.1               1.0         9       0.5157167
##   10.00   7         0.1               1.0        10       0.5157167
##   10.00   7         0.1               1.0        11       0.5157167
##   10.00   7         0.1               1.0        12       0.5157167
##   10.00   7         0.1               1.0        15       0.5157167
##   10.00   7         0.5               0.8         1       0.8263235
##   10.00   7         0.5               0.8         2       0.3925684
##   10.00   7         0.5               0.8         3       0.5928996
##   10.00   7         0.5               0.8         4       0.5924754
##   10.00   7         0.5               0.8         5       0.5896538
##   10.00   7         0.5               0.8         6       0.5896538
##   10.00   7         0.5               0.8         7       0.5896538
##   10.00   7         0.5               0.8         8       0.5896538
##   10.00   7         0.5               0.8         9       0.5896538
##   10.00   7         0.5               0.8        10       0.5896538
##   10.00   7         0.5               0.8        11       0.5896538
##   10.00   7         0.5               0.8        12       0.5896538
##   10.00   7         0.5               0.8        15       0.5896538
##   10.00   7         0.5               1.0         1       0.8245807
##   10.00   7         0.5               1.0         2       0.3207021
##   10.00   7         0.5               1.0         3       0.5853404
##   10.00   7         0.5               1.0         4       0.5800537
##   10.00   7         0.5               1.0         5       0.5797833
##   10.00   7         0.5               1.0         6       0.5797833
##   10.00   7         0.5               1.0         7       0.5797833
##   10.00   7         0.5               1.0         8       0.5797833
##   10.00   7         0.5               1.0         9       0.5797833
##   10.00   7         0.5               1.0        10       0.5797833
##   10.00   7         0.5               1.0        11       0.5797833
##   10.00   7         0.5               1.0        12       0.5797833
##   10.00   7         0.5               1.0        15       0.5797833
##   10.00   7         0.7               0.8         1       0.8134280
##   10.00   7         0.7               0.8         2       0.3735362
##   10.00   7         0.7               0.8         3       0.4964101
##   10.00   7         0.7               0.8         4       0.4964101
##   10.00   7         0.7               0.8         5       0.4964101
##   10.00   7         0.7               0.8         6       0.4964101
##   10.00   7         0.7               0.8         7       0.4964101
##   10.00   7         0.7               0.8         8       0.4964101
##   10.00   7         0.7               0.8         9       0.4964101
##   10.00   7         0.7               0.8        10       0.4964101
##   10.00   7         0.7               0.8        11       0.4964101
##   10.00   7         0.7               0.8        12       0.4964101
##   10.00   7         0.7               0.8        15       0.4964101
##   10.00   7         0.7               1.0         1       0.8340760
##   10.00   7         0.7               1.0         2       0.3737319
##   10.00   7         0.7               1.0         3       0.5741761
##   10.00   7         0.7               1.0         4       0.5741160
##   10.00   7         0.7               1.0         5       0.5741160
##   10.00   7         0.7               1.0         6       0.5741160
##   10.00   7         0.7               1.0         7       0.5741160
##   10.00   7         0.7               1.0         8       0.5741160
##   10.00   7         0.7               1.0         9       0.5741160
##   10.00   7         0.7               1.0        10       0.5741160
##   10.00   7         0.7               1.0        11       0.5741160
##   10.00   7         0.7               1.0        12       0.5741160
##   10.00   7         0.7               1.0        15       0.5741160
##   10.00   7         1.0               0.8         1       0.8071302
##   10.00   7         1.0               0.8         2       0.4461836
##   10.00   7         1.0               0.8         3       0.4992802
##   10.00   7         1.0               0.8         4       0.4992802
##   10.00   7         1.0               0.8         5       0.4992802
##   10.00   7         1.0               0.8         6       0.4992802
##   10.00   7         1.0               0.8         7       0.4992802
##   10.00   7         1.0               0.8         8       0.4992802
##   10.00   7         1.0               0.8         9       0.4992802
##   10.00   7         1.0               0.8        10       0.4992802
##   10.00   7         1.0               0.8        11       0.4992802
##   10.00   7         1.0               0.8        12       0.4992802
##   10.00   7         1.0               0.8        15       0.4992802
##   10.00   7         1.0               1.0         1       0.8283646
##   10.00   7         1.0               1.0         2       0.3657636
##   10.00   7         1.0               1.0         3       0.5441534
##   10.00   7         1.0               1.0         4       0.5483510
##   10.00   7         1.0               1.0         5       0.5483510
##   10.00   7         1.0               1.0         6       0.5483510
##   10.00   7         1.0               1.0         7       0.5483510
##   10.00   7         1.0               1.0         8       0.5483510
##   10.00   7         1.0               1.0         9       0.5483510
##   10.00   7         1.0               1.0        10       0.5483510
##   10.00   7         1.0               1.0        11       0.5483510
##   10.00   7         1.0               1.0        12       0.5483510
##   10.00   7         1.0               1.0        15       0.5483510
##   10.00   7         1.5               0.8         1       0.5157167
##   10.00   7         1.5               0.8         2       0.5157167
##   10.00   7         1.5               0.8         3       0.5157167
##   10.00   7         1.5               0.8         4       0.5157167
##   10.00   7         1.5               0.8         5       0.5157167
##   10.00   7         1.5               0.8         6       0.5157167
##   10.00   7         1.5               0.8         7       0.5157167
##   10.00   7         1.5               0.8         8       0.5157167
##   10.00   7         1.5               0.8         9       0.5157167
##   10.00   7         1.5               0.8        10       0.5157167
##   10.00   7         1.5               0.8        11       0.5157167
##   10.00   7         1.5               0.8        12       0.5157167
##   10.00   7         1.5               0.8        15       0.5157167
##   10.00   7         1.5               1.0         1       0.5157167
##   10.00   7         1.5               1.0         2       0.5157167
##   10.00   7         1.5               1.0         3       0.5157167
##   10.00   7         1.5               1.0         4       0.5157167
##   10.00   7         1.5               1.0         5       0.5157167
##   10.00   7         1.5               1.0         6       0.5157167
##   10.00   7         1.5               1.0         7       0.5157167
##   10.00   7         1.5               1.0         8       0.5157167
##   10.00   7         1.5               1.0         9       0.5157167
##   10.00   7         1.5               1.0        10       0.5157167
##   10.00   7         1.5               1.0        11       0.5157167
##   10.00   7         1.5               1.0        12       0.5157167
##   10.00   7         1.5               1.0        15       0.5157167
##   10.00   9         0.1               0.8         1       0.5157167
##   10.00   9         0.1               0.8         2       0.5157167
##   10.00   9         0.1               0.8         3       0.5157167
##   10.00   9         0.1               0.8         4       0.5157167
##   10.00   9         0.1               0.8         5       0.5157167
##   10.00   9         0.1               0.8         6       0.5157167
##   10.00   9         0.1               0.8         7       0.5157167
##   10.00   9         0.1               0.8         8       0.5157167
##   10.00   9         0.1               0.8         9       0.5157167
##   10.00   9         0.1               0.8        10       0.5157167
##   10.00   9         0.1               0.8        11       0.5157167
##   10.00   9         0.1               0.8        12       0.5157167
##   10.00   9         0.1               0.8        15       0.5157167
##   10.00   9         0.1               1.0         1       0.5157167
##   10.00   9         0.1               1.0         2       0.5157167
##   10.00   9         0.1               1.0         3       0.5157167
##   10.00   9         0.1               1.0         4       0.5157167
##   10.00   9         0.1               1.0         5       0.5157167
##   10.00   9         0.1               1.0         6       0.5157167
##   10.00   9         0.1               1.0         7       0.5157167
##   10.00   9         0.1               1.0         8       0.5157167
##   10.00   9         0.1               1.0         9       0.5157167
##   10.00   9         0.1               1.0        10       0.5157167
##   10.00   9         0.1               1.0        11       0.5157167
##   10.00   9         0.1               1.0        12       0.5157167
##   10.00   9         0.1               1.0        15       0.5157167
##   10.00   9         0.5               0.8         1       0.8187989
##   10.00   9         0.5               0.8         2       0.3482672
##   10.00   9         0.5               0.8         3       0.5201378
##   10.00   9         0.5               0.8         4       0.5201378
##   10.00   9         0.5               0.8         5       0.5218369
##   10.00   9         0.5               0.8         6       0.5218369
##   10.00   9         0.5               0.8         7       0.5218369
##   10.00   9         0.5               0.8         8       0.5218369
##   10.00   9         0.5               0.8         9       0.5218369
##   10.00   9         0.5               0.8        10       0.5218369
##   10.00   9         0.5               0.8        11       0.5218369
##   10.00   9         0.5               0.8        12       0.5218369
##   10.00   9         0.5               0.8        15       0.5218369
##   10.00   9         0.5               1.0         1       0.8265427
##   10.00   9         0.5               1.0         2       0.3350552
##   10.00   9         0.5               1.0         3       0.6382440
##   10.00   9         0.5               1.0         4       0.6235699
##   10.00   9         0.5               1.0         5       0.6242310
##   10.00   9         0.5               1.0         6       0.6242310
##   10.00   9         0.5               1.0         7       0.6242310
##   10.00   9         0.5               1.0         8       0.6242310
##   10.00   9         0.5               1.0         9       0.6242310
##   10.00   9         0.5               1.0        10       0.6242310
##   10.00   9         0.5               1.0        11       0.6242310
##   10.00   9         0.5               1.0        12       0.6242310
##   10.00   9         0.5               1.0        15       0.6242310
##   10.00   9         0.7               0.8         1       0.8422907
##   10.00   9         0.7               0.8         2       0.3924724
##   10.00   9         0.7               0.8         3       0.6189527
##   10.00   9         0.7               0.8         4       0.6151368
##   10.00   9         0.7               0.8         5       0.6158721
##   10.00   9         0.7               0.8         6       0.6158721
##   10.00   9         0.7               0.8         7       0.6158721
##   10.00   9         0.7               0.8         8       0.6158721
##   10.00   9         0.7               0.8         9       0.6158721
##   10.00   9         0.7               0.8        10       0.6065274
##   10.00   9         0.7               0.8        11       0.6065274
##   10.00   9         0.7               0.8        12       0.6065274
##   10.00   9         0.7               0.8        15       0.6065274
##   10.00   9         0.7               1.0         1       0.8350117
##   10.00   9         0.7               1.0         2       0.3780659
##   10.00   9         0.7               1.0         3       0.5652297
##   10.00   9         0.7               1.0         4       0.5662213
##   10.00   9         0.7               1.0         5       0.5662213
##   10.00   9         0.7               1.0         6       0.5662213
##   10.00   9         0.7               1.0         7       0.5662213
##   10.00   9         0.7               1.0         8       0.5662213
##   10.00   9         0.7               1.0         9       0.5662213
##   10.00   9         0.7               1.0        10       0.5662213
##   10.00   9         0.7               1.0        11       0.5662213
##   10.00   9         0.7               1.0        12       0.5662213
##   10.00   9         0.7               1.0        15       0.5662213
##   10.00   9         1.0               0.8         1       0.8098758
##   10.00   9         1.0               0.8         2       0.3457805
##   10.00   9         1.0               0.8         3       0.5338284
##   10.00   9         1.0               0.8         4       0.5338284
##   10.00   9         1.0               0.8         5       0.5338284
##   10.00   9         1.0               0.8         6       0.5338284
##   10.00   9         1.0               0.8         7       0.5338284
##   10.00   9         1.0               0.8         8       0.5338284
##   10.00   9         1.0               0.8         9       0.5338284
##   10.00   9         1.0               0.8        10       0.5338284
##   10.00   9         1.0               0.8        11       0.5338284
##   10.00   9         1.0               0.8        12       0.5338284
##   10.00   9         1.0               0.8        15       0.5338284
##   10.00   9         1.0               1.0         1       0.8293194
##   10.00   9         1.0               1.0         2       0.3584570
##   10.00   9         1.0               1.0         3       0.5827684
##   10.00   9         1.0               1.0         4       0.5733633
##   10.00   9         1.0               1.0         5       0.5733633
##   10.00   9         1.0               1.0         6       0.5733633
##   10.00   9         1.0               1.0         7       0.5733633
##   10.00   9         1.0               1.0         8       0.5733633
##   10.00   9         1.0               1.0         9       0.5733633
##   10.00   9         1.0               1.0        10       0.5733633
##   10.00   9         1.0               1.0        11       0.5733633
##   10.00   9         1.0               1.0        12       0.5733633
##   10.00   9         1.0               1.0        15       0.5733633
##   10.00   9         1.5               0.8         1       0.5157167
##   10.00   9         1.5               0.8         2       0.5157167
##   10.00   9         1.5               0.8         3       0.5157167
##   10.00   9         1.5               0.8         4       0.5157167
##   10.00   9         1.5               0.8         5       0.5157167
##   10.00   9         1.5               0.8         6       0.5157167
##   10.00   9         1.5               0.8         7       0.5157167
##   10.00   9         1.5               0.8         8       0.5157167
##   10.00   9         1.5               0.8         9       0.5157167
##   10.00   9         1.5               0.8        10       0.5157167
##   10.00   9         1.5               0.8        11       0.5157167
##   10.00   9         1.5               0.8        12       0.5157167
##   10.00   9         1.5               0.8        15       0.5157167
##   10.00   9         1.5               1.0         1       0.5157167
##   10.00   9         1.5               1.0         2       0.5157167
##   10.00   9         1.5               1.0         3       0.5157167
##   10.00   9         1.5               1.0         4       0.5157167
##   10.00   9         1.5               1.0         5       0.5157167
##   10.00   9         1.5               1.0         6       0.5157167
##   10.00   9         1.5               1.0         7       0.5157167
##   10.00   9         1.5               1.0         8       0.5157167
##   10.00   9         1.5               1.0         9       0.5157167
##   10.00   9         1.5               1.0        10       0.5157167
##   10.00   9         1.5               1.0        11       0.5157167
##   10.00   9         1.5               1.0        12       0.5157167
##   10.00   9         1.5               1.0        15       0.5157167
##   10.00  11         0.1               0.8         1       0.5157167
##   10.00  11         0.1               0.8         2       0.5157167
##   10.00  11         0.1               0.8         3       0.5157167
##   10.00  11         0.1               0.8         4       0.5157167
##   10.00  11         0.1               0.8         5       0.5157167
##   10.00  11         0.1               0.8         6       0.5157167
##   10.00  11         0.1               0.8         7       0.5157167
##   10.00  11         0.1               0.8         8       0.5157167
##   10.00  11         0.1               0.8         9       0.5157167
##   10.00  11         0.1               0.8        10       0.5157167
##   10.00  11         0.1               0.8        11       0.5157167
##   10.00  11         0.1               0.8        12       0.5157167
##   10.00  11         0.1               0.8        15       0.5157167
##   10.00  11         0.1               1.0         1       0.5157167
##   10.00  11         0.1               1.0         2       0.5157167
##   10.00  11         0.1               1.0         3       0.5157167
##   10.00  11         0.1               1.0         4       0.5157167
##   10.00  11         0.1               1.0         5       0.5157167
##   10.00  11         0.1               1.0         6       0.5157167
##   10.00  11         0.1               1.0         7       0.5157167
##   10.00  11         0.1               1.0         8       0.5157167
##   10.00  11         0.1               1.0         9       0.5157167
##   10.00  11         0.1               1.0        10       0.5157167
##   10.00  11         0.1               1.0        11       0.5157167
##   10.00  11         0.1               1.0        12       0.5157167
##   10.00  11         0.1               1.0        15       0.5157167
##   10.00  11         0.5               0.8         1       0.8083873
##   10.00  11         0.5               0.8         2       0.3920618
##   10.00  11         0.5               0.8         3       0.5162620
##   10.00  11         0.5               0.8         4       0.5162620
##   10.00  11         0.5               0.8         5       0.5162620
##   10.00  11         0.5               0.8         6       0.5162620
##   10.00  11         0.5               0.8         7       0.5162620
##   10.00  11         0.5               0.8         8       0.5162620
##   10.00  11         0.5               0.8         9       0.5162620
##   10.00  11         0.5               0.8        10       0.5162620
##   10.00  11         0.5               0.8        11       0.5162620
##   10.00  11         0.5               0.8        12       0.5162620
##   10.00  11         0.5               0.8        15       0.5162620
##   10.00  11         0.5               1.0         1       0.8262881
##   10.00  11         0.5               1.0         2       0.3398379
##   10.00  11         0.5               1.0         3       0.6391022
##   10.00  11         0.5               1.0         4       0.6312296
##   10.00  11         0.5               1.0         5       0.6312296
##   10.00  11         0.5               1.0         6       0.6312296
##   10.00  11         0.5               1.0         7       0.6312296
##   10.00  11         0.5               1.0         8       0.6312296
##   10.00  11         0.5               1.0         9       0.6312296
##   10.00  11         0.5               1.0        10       0.6312296
##   10.00  11         0.5               1.0        11       0.6312296
##   10.00  11         0.5               1.0        12       0.6312296
##   10.00  11         0.5               1.0        15       0.6312296
##   10.00  11         0.7               0.8         1       0.8162192
##   10.00  11         0.7               0.8         2       0.3913126
##   10.00  11         0.7               0.8         3       0.4907198
##   10.00  11         0.7               0.8         4       0.5101309
##   10.00  11         0.7               0.8         5       0.5086175
##   10.00  11         0.7               0.8         6       0.5086175
##   10.00  11         0.7               0.8         7       0.5086175
##   10.00  11         0.7               0.8         8       0.5086175
##   10.00  11         0.7               0.8         9       0.5086175
##   10.00  11         0.7               0.8        10       0.5086175
##   10.00  11         0.7               0.8        11       0.5086175
##   10.00  11         0.7               0.8        12       0.5086175
##   10.00  11         0.7               0.8        15       0.5086175
##   10.00  11         0.7               1.0         1       0.8350117
##   10.00  11         0.7               1.0         2       0.3991873
##   10.00  11         0.7               1.0         3       0.5571789
##   10.00  11         0.7               1.0         4       0.5635190
##   10.00  11         0.7               1.0         5       0.5635190
##   10.00  11         0.7               1.0         6       0.5635190
##   10.00  11         0.7               1.0         7       0.5635190
##   10.00  11         0.7               1.0         8       0.5635190
##   10.00  11         0.7               1.0         9       0.5635190
##   10.00  11         0.7               1.0        10       0.5635190
##   10.00  11         0.7               1.0        11       0.5635190
##   10.00  11         0.7               1.0        12       0.5635190
##   10.00  11         0.7               1.0        15       0.5635190
##   10.00  11         1.0               0.8         1       0.8209236
##   10.00  11         1.0               0.8         2       0.4618315
##   10.00  11         1.0               0.8         3       0.5785000
##   10.00  11         1.0               0.8         4       0.6035608
##   10.00  11         1.0               0.8         5       0.6035608
##   10.00  11         1.0               0.8         6       0.6035608
##   10.00  11         1.0               0.8         7       0.6035608
##   10.00  11         1.0               0.8         8       0.6035608
##   10.00  11         1.0               0.8         9       0.6035608
##   10.00  11         1.0               0.8        10       0.6035608
##   10.00  11         1.0               0.8        11       0.6035608
##   10.00  11         1.0               0.8        12       0.6035608
##   10.00  11         1.0               0.8        15       0.6035608
##   10.00  11         1.0               1.0         1       0.8293194
##   10.00  11         1.0               1.0         2       0.3584269
##   10.00  11         1.0               1.0         3       0.5529006
##   10.00  11         1.0               1.0         4       0.5527203
##   10.00  11         1.0               1.0         5       0.5527203
##   10.00  11         1.0               1.0         6       0.5527203
##   10.00  11         1.0               1.0         7       0.5527203
##   10.00  11         1.0               1.0         8       0.5527203
##   10.00  11         1.0               1.0         9       0.5527203
##   10.00  11         1.0               1.0        10       0.5527203
##   10.00  11         1.0               1.0        11       0.5527203
##   10.00  11         1.0               1.0        12       0.5527203
##   10.00  11         1.0               1.0        15       0.5527203
##   10.00  11         1.5               0.8         1       0.5157167
##   10.00  11         1.5               0.8         2       0.5157167
##   10.00  11         1.5               0.8         3       0.5157167
##   10.00  11         1.5               0.8         4       0.5157167
##   10.00  11         1.5               0.8         5       0.5157167
##   10.00  11         1.5               0.8         6       0.5157167
##   10.00  11         1.5               0.8         7       0.5157167
##   10.00  11         1.5               0.8         8       0.5157167
##   10.00  11         1.5               0.8         9       0.5157167
##   10.00  11         1.5               0.8        10       0.5157167
##   10.00  11         1.5               0.8        11       0.5157167
##   10.00  11         1.5               0.8        12       0.5157167
##   10.00  11         1.5               0.8        15       0.5157167
##   10.00  11         1.5               1.0         1       0.5157167
##   10.00  11         1.5               1.0         2       0.5157167
##   10.00  11         1.5               1.0         3       0.5157167
##   10.00  11         1.5               1.0         4       0.5157167
##   10.00  11         1.5               1.0         5       0.5157167
##   10.00  11         1.5               1.0         6       0.5157167
##   10.00  11         1.5               1.0         7       0.5157167
##   10.00  11         1.5               1.0         8       0.5157167
##   10.00  11         1.5               1.0         9       0.5157167
##   10.00  11         1.5               1.0        10       0.5157167
##   10.00  11         1.5               1.0        11       0.5157167
##   10.00  11         1.5               1.0        12       0.5157167
##   10.00  11         1.5               1.0        15       0.5157167
##   10.00  13         0.1               0.8         1       0.5157167
##   10.00  13         0.1               0.8         2       0.5157167
##   10.00  13         0.1               0.8         3       0.5157167
##   10.00  13         0.1               0.8         4       0.5157167
##   10.00  13         0.1               0.8         5       0.5157167
##   10.00  13         0.1               0.8         6       0.5157167
##   10.00  13         0.1               0.8         7       0.5157167
##   10.00  13         0.1               0.8         8       0.5157167
##   10.00  13         0.1               0.8         9       0.5157167
##   10.00  13         0.1               0.8        10       0.5157167
##   10.00  13         0.1               0.8        11       0.5157167
##   10.00  13         0.1               0.8        12       0.5157167
##   10.00  13         0.1               0.8        15       0.5157167
##   10.00  13         0.1               1.0         1       0.5157167
##   10.00  13         0.1               1.0         2       0.5157167
##   10.00  13         0.1               1.0         3       0.5157167
##   10.00  13         0.1               1.0         4       0.5157167
##   10.00  13         0.1               1.0         5       0.5157167
##   10.00  13         0.1               1.0         6       0.5157167
##   10.00  13         0.1               1.0         7       0.5157167
##   10.00  13         0.1               1.0         8       0.5157167
##   10.00  13         0.1               1.0         9       0.5157167
##   10.00  13         0.1               1.0        10       0.5157167
##   10.00  13         0.1               1.0        11       0.5157167
##   10.00  13         0.1               1.0        12       0.5157167
##   10.00  13         0.1               1.0        15       0.5157167
##   10.00  13         0.5               0.8         1       0.8165278
##   10.00  13         0.5               0.8         2       0.3928458
##   10.00  13         0.5               0.8         3       0.5135798
##   10.00  13         0.5               0.8         4       0.5065786
##   10.00  13         0.5               0.8         5       0.5065786
##   10.00  13         0.5               0.8         6       0.5065786
##   10.00  13         0.5               0.8         7       0.5065786
##   10.00  13         0.5               0.8         8       0.5065786
##   10.00  13         0.5               0.8         9       0.5065786
##   10.00  13         0.5               0.8        10       0.5065786
##   10.00  13         0.5               0.8        11       0.5065786
##   10.00  13         0.5               0.8        12       0.5065786
##   10.00  13         0.5               0.8        15       0.5065786
##   10.00  13         0.5               1.0         1       0.8262316
##   10.00  13         0.5               1.0         2       0.3417610
##   10.00  13         0.5               1.0         3       0.6123489
##   10.00  13         0.5               1.0         4       0.6044763
##   10.00  13         0.5               1.0         5       0.6044763
##   10.00  13         0.5               1.0         6       0.6044763
##   10.00  13         0.5               1.0         7       0.6044763
##   10.00  13         0.5               1.0         8       0.6044763
##   10.00  13         0.5               1.0         9       0.6044763
##   10.00  13         0.5               1.0        10       0.6044763
##   10.00  13         0.5               1.0        11       0.6044763
##   10.00  13         0.5               1.0        12       0.6044763
##   10.00  13         0.5               1.0        15       0.6044763
##   10.00  13         0.7               0.8         1       0.8287556
##   10.00  13         0.7               0.8         2       0.3578378
##   10.00  13         0.7               0.8         3       0.5631224
##   10.00  13         0.7               0.8         4       0.5580142
##   10.00  13         0.7               0.8         5       0.5580142
##   10.00  13         0.7               0.8         6       0.5580142
##   10.00  13         0.7               0.8         7       0.5580142
##   10.00  13         0.7               0.8         8       0.5580142
##   10.00  13         0.7               0.8         9       0.5580142
##   10.00  13         0.7               0.8        10       0.5580142
##   10.00  13         0.7               0.8        11       0.5580142
##   10.00  13         0.7               0.8        12       0.5580142
##   10.00  13         0.7               0.8        15       0.5580142
##   10.00  13         0.7               1.0         1       0.8350117
##   10.00  13         0.7               1.0         2       0.3991873
##   10.00  13         0.7               1.0         3       0.5571789
##   10.00  13         0.7               1.0         4       0.5635190
##   10.00  13         0.7               1.0         5       0.5635190
##   10.00  13         0.7               1.0         6       0.5635190
##   10.00  13         0.7               1.0         7       0.5635190
##   10.00  13         0.7               1.0         8       0.5635190
##   10.00  13         0.7               1.0         9       0.5635190
##   10.00  13         0.7               1.0        10       0.5635190
##   10.00  13         0.7               1.0        11       0.5635190
##   10.00  13         0.7               1.0        12       0.5635190
##   10.00  13         0.7               1.0        15       0.5635190
##   10.00  13         1.0               0.8         1       0.8247300
##   10.00  13         1.0               0.8         2       0.4673883
##   10.00  13         1.0               0.8         3       0.5289454
##   10.00  13         1.0               0.8         4       0.5289454
##   10.00  13         1.0               0.8         5       0.5289454
##   10.00  13         1.0               0.8         6       0.5289454
##   10.00  13         1.0               0.8         7       0.5289454
##   10.00  13         1.0               0.8         8       0.5289454
##   10.00  13         1.0               0.8         9       0.5289454
##   10.00  13         1.0               0.8        10       0.5289454
##   10.00  13         1.0               0.8        11       0.5289454
##   10.00  13         1.0               0.8        12       0.5289454
##   10.00  13         1.0               0.8        15       0.5289454
##   10.00  13         1.0               1.0         1       0.8293194
##   10.00  13         1.0               1.0         2       0.3584269
##   10.00  13         1.0               1.0         3       0.5529006
##   10.00  13         1.0               1.0         4       0.5527203
##   10.00  13         1.0               1.0         5       0.5527203
##   10.00  13         1.0               1.0         6       0.5527203
##   10.00  13         1.0               1.0         7       0.5527203
##   10.00  13         1.0               1.0         8       0.5527203
##   10.00  13         1.0               1.0         9       0.5527203
##   10.00  13         1.0               1.0        10       0.5527203
##   10.00  13         1.0               1.0        11       0.5527203
##   10.00  13         1.0               1.0        12       0.5527203
##   10.00  13         1.0               1.0        15       0.5527203
##   10.00  13         1.5               0.8         1       0.5157167
##   10.00  13         1.5               0.8         2       0.5157167
##   10.00  13         1.5               0.8         3       0.5157167
##   10.00  13         1.5               0.8         4       0.5157167
##   10.00  13         1.5               0.8         5       0.5157167
##   10.00  13         1.5               0.8         6       0.5157167
##   10.00  13         1.5               0.8         7       0.5157167
##   10.00  13         1.5               0.8         8       0.5157167
##   10.00  13         1.5               0.8         9       0.5157167
##   10.00  13         1.5               0.8        10       0.5157167
##   10.00  13         1.5               0.8        11       0.5157167
##   10.00  13         1.5               0.8        12       0.5157167
##   10.00  13         1.5               0.8        15       0.5157167
##   10.00  13         1.5               1.0         1       0.5157167
##   10.00  13         1.5               1.0         2       0.5157167
##   10.00  13         1.5               1.0         3       0.5157167
##   10.00  13         1.5               1.0         4       0.5157167
##   10.00  13         1.5               1.0         5       0.5157167
##   10.00  13         1.5               1.0         6       0.5157167
##   10.00  13         1.5               1.0         7       0.5157167
##   10.00  13         1.5               1.0         8       0.5157167
##   10.00  13         1.5               1.0         9       0.5157167
##   10.00  13         1.5               1.0        10       0.5157167
##   10.00  13         1.5               1.0        11       0.5157167
##   10.00  13         1.5               1.0        12       0.5157167
##   10.00  13         1.5               1.0        15       0.5157167
##   10.00  15         0.1               0.8         1       0.5157167
##   10.00  15         0.1               0.8         2       0.5157167
##   10.00  15         0.1               0.8         3       0.5157167
##   10.00  15         0.1               0.8         4       0.5157167
##   10.00  15         0.1               0.8         5       0.5157167
##   10.00  15         0.1               0.8         6       0.5157167
##   10.00  15         0.1               0.8         7       0.5157167
##   10.00  15         0.1               0.8         8       0.5157167
##   10.00  15         0.1               0.8         9       0.5157167
##   10.00  15         0.1               0.8        10       0.5157167
##   10.00  15         0.1               0.8        11       0.5157167
##   10.00  15         0.1               0.8        12       0.5157167
##   10.00  15         0.1               0.8        15       0.5157167
##   10.00  15         0.1               1.0         1       0.5157167
##   10.00  15         0.1               1.0         2       0.5157167
##   10.00  15         0.1               1.0         3       0.5157167
##   10.00  15         0.1               1.0         4       0.5157167
##   10.00  15         0.1               1.0         5       0.5157167
##   10.00  15         0.1               1.0         6       0.5157167
##   10.00  15         0.1               1.0         7       0.5157167
##   10.00  15         0.1               1.0         8       0.5157167
##   10.00  15         0.1               1.0         9       0.5157167
##   10.00  15         0.1               1.0        10       0.5157167
##   10.00  15         0.1               1.0        11       0.5157167
##   10.00  15         0.1               1.0        12       0.5157167
##   10.00  15         0.1               1.0        15       0.5157167
##   10.00  15         0.5               0.8         1       0.8131557
##   10.00  15         0.5               0.8         2       0.3454349
##   10.00  15         0.5               0.8         3       0.5114982
##   10.00  15         0.5               0.8         4       0.5114982
##   10.00  15         0.5               0.8         5       0.5114982
##   10.00  15         0.5               0.8         6       0.5114982
##   10.00  15         0.5               0.8         7       0.5114982
##   10.00  15         0.5               0.8         8       0.5114982
##   10.00  15         0.5               0.8         9       0.5114982
##   10.00  15         0.5               0.8        10       0.5114982
##   10.00  15         0.5               0.8        11       0.5114982
##   10.00  15         0.5               0.8        12       0.5114982
##   10.00  15         0.5               0.8        15       0.5114982
##   10.00  15         0.5               1.0         1       0.8262316
##   10.00  15         0.5               1.0         2       0.3417610
##   10.00  15         0.5               1.0         3       0.6123489
##   10.00  15         0.5               1.0         4       0.6044763
##   10.00  15         0.5               1.0         5       0.6044763
##   10.00  15         0.5               1.0         6       0.6044763
##   10.00  15         0.5               1.0         7       0.6044763
##   10.00  15         0.5               1.0         8       0.6044763
##   10.00  15         0.5               1.0         9       0.6044763
##   10.00  15         0.5               1.0        10       0.6044763
##   10.00  15         0.5               1.0        11       0.6044763
##   10.00  15         0.5               1.0        12       0.6044763
##   10.00  15         0.5               1.0        15       0.6044763
##   10.00  15         0.7               0.8         1       0.8276533
##   10.00  15         0.7               0.8         2       0.4196636
##   10.00  15         0.7               0.8         3       0.5639963
##   10.00  15         0.7               0.8         4       0.5805828
##   10.00  15         0.7               0.8         5       0.5805828
##   10.00  15         0.7               0.8         6       0.5805828
##   10.00  15         0.7               0.8         7       0.5805828
##   10.00  15         0.7               0.8         8       0.5805828
##   10.00  15         0.7               0.8         9       0.5805828
##   10.00  15         0.7               0.8        10       0.5805828
##   10.00  15         0.7               0.8        11       0.5805828
##   10.00  15         0.7               0.8        12       0.5805828
##   10.00  15         0.7               0.8        15       0.5805828
##   10.00  15         0.7               1.0         1       0.8350117
##   10.00  15         0.7               1.0         2       0.3991873
##   10.00  15         0.7               1.0         3       0.5571789
##   10.00  15         0.7               1.0         4       0.5635190
##   10.00  15         0.7               1.0         5       0.5635190
##   10.00  15         0.7               1.0         6       0.5635190
##   10.00  15         0.7               1.0         7       0.5635190
##   10.00  15         0.7               1.0         8       0.5635190
##   10.00  15         0.7               1.0         9       0.5635190
##   10.00  15         0.7               1.0        10       0.5635190
##   10.00  15         0.7               1.0        11       0.5635190
##   10.00  15         0.7               1.0        12       0.5635190
##   10.00  15         0.7               1.0        15       0.5635190
##   10.00  15         1.0               0.8         1       0.8184339
##   10.00  15         1.0               0.8         2       0.4145123
##   10.00  15         1.0               0.8         3       0.5539859
##   10.00  15         1.0               0.8         4       0.5492939
##   10.00  15         1.0               0.8         5       0.5492939
##   10.00  15         1.0               0.8         6       0.5492939
##   10.00  15         1.0               0.8         7       0.5492939
##   10.00  15         1.0               0.8         8       0.5492939
##   10.00  15         1.0               0.8         9       0.5492939
##   10.00  15         1.0               0.8        10       0.5492939
##   10.00  15         1.0               0.8        11       0.5492939
##   10.00  15         1.0               0.8        12       0.5492939
##   10.00  15         1.0               0.8        15       0.5492939
##   10.00  15         1.0               1.0         1       0.8293194
##   10.00  15         1.0               1.0         2       0.3584269
##   10.00  15         1.0               1.0         3       0.5529006
##   10.00  15         1.0               1.0         4       0.5527203
##   10.00  15         1.0               1.0         5       0.5527203
##   10.00  15         1.0               1.0         6       0.5527203
##   10.00  15         1.0               1.0         7       0.5527203
##   10.00  15         1.0               1.0         8       0.5527203
##   10.00  15         1.0               1.0         9       0.5527203
##   10.00  15         1.0               1.0        10       0.5527203
##   10.00  15         1.0               1.0        11       0.5527203
##   10.00  15         1.0               1.0        12       0.5527203
##   10.00  15         1.0               1.0        15       0.5527203
##   10.00  15         1.5               0.8         1       0.5157167
##   10.00  15         1.5               0.8         2       0.5157167
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##   0.26507353  0.87604556
##   0.26507353  0.87604556
##   0.26507353  0.87604556
##   0.26507353  0.87604556
##   0.55147059  0.93827483
##   0.72683824  0.20275392
##   0.21323529  0.78926438
##   0.22536765  0.73780807
##   0.22536765  0.73780807
##   0.22536765  0.73780807
##   0.22536765  0.73780807
##   0.22536765  0.73780807
##   0.22536765  0.73780807
##   0.22536765  0.73780807
##   0.22536765  0.73780807
##   0.22536765  0.73780807
##   0.22536765  0.73780807
##   0.54522059  0.93730396
##   0.62647059  0.15806572
##   0.10220588  0.97775392
##   0.10220588  0.97679238
##   0.10220588  0.97679238
##   0.10220588  0.97679238
##   0.10220588  0.97679238
##   0.10220588  0.97679238
##   0.10220588  0.97679238
##   0.10220588  0.97679238
##   0.10220588  0.97679238
##   0.10220588  0.97679238
##   0.10220588  0.97679238
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
##          NaN         NaN
## 
## Tuning parameter 'gamma' was held constant at a value of 0
## 
## Tuning parameter 'min_child_weight' was held constant at a value of 1
## ROC was used to select the optimal model using  the largest value.
## The final values used for the model were nrounds = 15, max_depth = 11,
##  eta = 0.5, gamma = 0, colsample_bytree = 1, min_child_weight = 1
##  and subsample = 0.8.
xgb_model$results

4.3.2 choose the best set of hyperparameters

xgb_model$results[order(xgb_model$results$ROC, decreasing = T),][1:5,]

4.4.1 generate final model

xgb_grid=expand.grid(nrounds = c(15),
                    max_depth = c(7),
                    eta = c(0.2),
                    gamma = 0,
                    colsample_bytree = c(1),
                    min_child_weight = 1,
                    subsample = c(.8))

xgb_ctrl=trainControl(method = "repeatedcv",
                      number = 10,#10-fold cross validation
                      repeats = 1, #repeats once
                      classProbs = TRUE,# estimate class probabilities
                      summaryFunction = twoClassSummary #evaluate performance on training dataset
                      )


set.seed(1234)
xgb_model=train(target ~ ., data = df_train[,x_cols],
                 method = "xgbTree", 
                 trControl = xgb_ctrl, 
                 verbose = F, 
                 tuneGrid = xgb_grid,
                 metric = "ROC")
xgb_model
## eXtreme Gradient Boosting 
## 
## 1200 samples
##    6 predictor
##    2 classes: 'good', 'not.good' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold, repeated 1 times) 
## Summary of sample sizes: 1080, 1080, 1081, 1080, 1081, 1079, ... 
## Resampling results:
## 
##   ROC        Sens       Spec     
##   0.9027888  0.5213235  0.9652726
## 
## Tuning parameter 'nrounds' was held constant at a value of 15
##  1
## Tuning parameter 'min_child_weight' was held constant at a value of
##  1
## Tuning parameter 'subsample' was held constant at a value of 0.8

4.4.2 Evalute model performance on holdout dataset

xgb_predict=predict(xgb_model, newdata = df_test[,x_cols], type = "prob")
head(xgb_predict)
xgb_pred_obs=xgb_predict
xgb_pred_obs['obs']=df_test['target']
xgb_pred_obs['pred']=ifelse(xgb_pred_obs$not.good>0.864,'not.good','good') #use base rate as threshold
xgb_pred_obs$pred=as.factor(xgb_pred_obs$pred)

head(xgb_pred_obs)
twoClassSummary(xgb_pred_obs, lev = levels(xgb_pred_obs$obs))
##       ROC      Sens      Spec 
## 0.8702093 0.7962963 0.8318841

4.4.3 Lift graph

trellis.par.set(caretTheme())

lift_obj=lift(obs ~ not.good, data = xgb_pred_obs)
plot(lift_obj, values = 60, auto.key = list(columns = 2,
                                            lines = TRUE,
                                            points = FALSE))

ggplot(lift_obj, values = 60)

4.4.4 Calibration chart

trellis.par.set(caretTheme())
cal_obj=calibration(obs ~ not.good, data = xgb_pred_obs,
                       cuts = 13)
plot(cal_obj, type = "l", auto.key = list(columns = 3,
                                          lines = TRUE,
                                          points = FALSE))

ggplot(cal_obj)

5. Regularized Logistic Regression

reference: https://github.com/topepo/caret/blob/master/RegressionTests/Code/regLogistic.R ### 5.1 Simple modeling

5.1.1 fit into the simple model

rlr_ctrl=trainControl(method = "cv", 
                      number = 3, 
                      returnResamp = "all",
                      classProbs = TRUE, 
                      summaryFunction = twoClassSummary)

rlr_grid=expand.grid( cost = c(0.01),
                       loss = c("L1"),
                       epsilon = c( 0.01) )
set.seed(1234)

rlr_model=train(target ~. , df_train, 
                             method = "regLogistic", 
                             trControl = rlr_ctrl,
                             metric = "ROC", 
                             preProc = c("center", "scale"),
                             tuneGrid = rlr_grid)

rlr_model
## Regularized Logistic Regression 
## 
## 1200 samples
##   11 predictor
##    2 classes: 'good', 'not.good' 
## 
## Pre-processing: centered (11), scaled (11) 
## Resampling: Cross-Validated (3 fold) 
## Summary of sample sizes: 801, 799, 800 
## Resampling results:
## 
##   ROC        Sens  Spec
##   0.8350088  0     1   
## 
## Tuning parameter 'cost' was held constant at a value of 0.01
## 
## Tuning parameter 'loss' was held constant at a value of L1
## 
## Tuning parameter 'epsilon' was held constant at a value of 0.01

5.1.2 evaluate on the holdout dataset

rlr_predict=predict(rlr_model, newdata = df_test[,1:11], type = "prob")
head(rlr_predict)
rlr_pred_obs=rlr_predict
rlr_pred_obs['obs']=df_test['target']
rlr_pred_obs['pred']=ifelse(rlr_pred_obs$not.good>0.864,'not.good','good') #use base rate as threshold
rlr_pred_obs$pred=as.factor(rlr_pred_obs$pred)

head(rlr_pred_obs)
#twoClassSummary(rlr_pred_obs, lev = levels(rlr_pred_obs$obs))

5.2 Hyperparameter tuning via grid search

5.2.1 grid search and hyperparameter tuning

rlr_ctrl=trainControl(method = "cv", 
                      number = 3, 
                      returnResamp = "all",
                      classProbs = TRUE, 
                      summaryFunction = twoClassSummary)

rlr_grid=expand.grid( cost = c(0.01,1,5,10,100),
                       loss = c("L1", "L2_dual", "L2_primal"),
                       epsilon = c(0.001,0.005, 0.01,0.05,0.1,0.5,1) )
set.seed(1234)

rlr_model=train(target ~. , df_train_scaled, 
                             method = "regLogistic", 
                             trControl = rlr_ctrl,
                             metric = "ROC", 
                             preProc = c("center", "scale"),
                             tuneGrid = rlr_grid)

rlr_model
## Regularized Logistic Regression 
## 
## 1200 samples
##   11 predictor
##    2 classes: 'good', 'not.good' 
## 
## Pre-processing: centered (11), scaled (11) 
## Resampling: Cross-Validated (3 fold) 
## Summary of sample sizes: 801, 799, 800 
## Resampling results across tuning parameters:
## 
##   cost   loss       epsilon  ROC        Sens       Spec     
##   1e-02  L1         0.001    0.8350088  0.0000000  1.0000000
##   1e-02  L1         0.005    0.8350088  0.0000000  1.0000000
##   1e-02  L1         0.010    0.8350088  0.0000000  1.0000000
##   1e-02  L1         0.050    0.8350088  0.0000000  1.0000000
##   1e-02  L1         0.100    0.8350088  0.0000000  1.0000000
##   1e-02  L1         0.500    0.8350088  0.0000000  1.0000000
##   1e-02  L1         1.000    0.8350088  0.0000000  1.0000000
##   1e-02  L2_dual    0.001    0.8768267  0.2696970  0.9730027
##   1e-02  L2_dual    0.005    0.8768267  0.2696970  0.9730027
##   1e-02  L2_dual    0.010    0.8768442  0.2696970  0.9730027
##   1e-02  L2_dual    0.050    0.8768796  0.2696970  0.9730027
##   1e-02  L2_dual    0.100    0.8767748  0.2758698  0.9730027
##   1e-02  L2_dual    0.500    0.8770027  0.2758698  0.9730027
##   1e-02  L2_dual    1.000    0.8768986  0.2696970  0.9730027
##   1e-02  L2_primal  0.001    0.8768267  0.2696970  0.9730027
##   1e-02  L2_primal  0.005    0.8768267  0.2696970  0.9730027
##   1e-02  L2_primal  0.010    0.8768089  0.2758698  0.9730027
##   1e-02  L2_primal  0.050    0.8768089  0.2758698  0.9730027
##   1e-02  L2_primal  0.100    0.8769143  0.2820426  0.9730027
##   1e-02  L2_primal  0.500    0.8769143  0.2820426  0.9730027
##   1e-02  L2_primal  1.000    0.8755660  0.2452301  0.9739633
##   1e+00  L1         0.001    0.8740833  0.3003367  0.9633632
##   1e+00  L1         0.005    0.8746007  0.3003367  0.9643266
##   1e+00  L1         0.010    0.8744937  0.3003367  0.9652928
##   1e+00  L1         0.050    0.8751119  0.3003367  0.9652900
##   1e+00  L1         0.100    0.8759258  0.2941639  0.9643266
##   1e+00  L1         0.500    0.8761565  0.2756453  0.9710703
##   1e+00  L1         1.000    0.8780394  0.2269360  0.9758901
##   1e+00  L2_dual    0.001    0.8731632  0.3065095  0.9623970
##   1e+00  L2_dual    0.005    0.8731632  0.3065095  0.9623970
##   1e+00  L2_dual    0.010    0.8731811  0.3065095  0.9623970
##   1e+00  L2_dual    0.050    0.8732349  0.3065095  0.9623970
##   1e+00  L2_dual    0.100    0.8732162  0.3065095  0.9623970
##   1e+00  L2_dual    0.500    0.8732163  0.3126824  0.9633632
##   1e+00  L2_dual    1.000    0.8728026  0.3126824  0.9633660
##   1e+00  L2_primal  0.001    0.8731454  0.3065095  0.9623970
##   1e+00  L2_primal  0.005    0.8731633  0.3065095  0.9623970
##   1e+00  L2_primal  0.010    0.8731633  0.3065095  0.9623970
##   1e+00  L2_primal  0.050    0.8738631  0.3065095  0.9623970
##   1e+00  L2_primal  0.100    0.8738631  0.3065095  0.9623970
##   1e+00  L2_primal  0.500    0.8754779  0.2879910  0.9633604
##   1e+00  L2_primal  1.000    0.8767596  0.2451178  0.9749295
##   5e+00  L1         0.001    0.8729077  0.3126824  0.9614336
##   5e+00  L1         0.005    0.8732112  0.3126824  0.9623998
##   5e+00  L1         0.010    0.8732287  0.3126824  0.9623998
##   5e+00  L1         0.050    0.8732132  0.3065095  0.9614336
##   5e+00  L1         0.100    0.8728693  0.3003367  0.9623942
##   5e+00  L1         0.500    0.8755065  0.3003367  0.9672084
##   5e+00  L1         1.000    0.8760855  0.2510662  0.9729999
##   5e+00  L2_dual    0.001    0.8726427  0.3126824  0.9614336
##   5e+00  L2_dual    0.005    0.8726252  0.3126824  0.9614336
##   5e+00  L2_dual    0.010    0.8726073  0.3126824  0.9614336
##   5e+00  L2_dual    0.050    0.8727486  0.3126824  0.9614336
##   5e+00  L2_dual    0.100    0.8727303  0.3126824  0.9614336
##   5e+00  L2_dual    0.500    0.8725692  0.3126824  0.9623998
##   5e+00  L2_dual    1.000    0.8725182  0.3126824  0.9614336
##   5e+00  L2_primal  0.001    0.8725373  0.3126824  0.9614336
##   5e+00  L2_primal  0.005    0.8726624  0.3126824  0.9614336
##   5e+00  L2_primal  0.010    0.8726624  0.3126824  0.9614336
##   5e+00  L2_primal  0.050    0.8728097  0.3126824  0.9604675
##   5e+00  L2_primal  0.100    0.8728097  0.3126824  0.9604675
##   5e+00  L2_primal  0.500    0.8742277  0.3003367  0.9623970
##   5e+00  L2_primal  1.000    0.8767417  0.2451178  0.9749295
##   1e+01  L1         0.001    0.8727660  0.3126824  0.9614336
##   1e+01  L1         0.005    0.8727486  0.3126824  0.9614336
##   1e+01  L1         0.010    0.8729434  0.3126824  0.9614336
##   1e+01  L1         0.050    0.8735721  0.3003367  0.9623970
##   1e+01  L1         0.100    0.8742427  0.2941639  0.9633632
##   1e+01  L1         0.500    0.8761039  0.2940516  0.9691436
##   1e+01  L1         1.000    0.8743379  0.2882155  0.9710731
##   1e+01  L2_dual    0.001    0.8726956  0.3126824  0.9614336
##   1e+01  L2_dual    0.005    0.8726777  0.3126824  0.9614336
##   1e+01  L2_dual    0.010    0.8726598  0.3126824  0.9614336
##   1e+01  L2_dual    0.050    0.8726766  0.3126824  0.9614336
##   1e+01  L2_dual    0.100    0.8726584  0.3126824  0.9614336
##   1e+01  L2_dual    0.500    0.8726781  0.3188552  0.9614336
##   1e+01  L2_dual    1.000    0.8724840  0.3127946  0.9614336
##   1e+01  L2_primal  0.001    0.8726598  0.3126824  0.9614336
##   1e+01  L2_primal  0.005    0.8726240  0.3126824  0.9614336
##   1e+01  L2_primal  0.010    0.8726240  0.3126824  0.9614336
##   1e+01  L2_primal  0.050    0.8727577  0.3126824  0.9604675
##   1e+01  L2_primal  0.100    0.8727577  0.3126824  0.9604675
##   1e+01  L2_primal  0.500    0.8740849  0.3003367  0.9623970
##   1e+01  L2_primal  1.000    0.8767417  0.2451178  0.9749295
##   1e+02  L1         0.001    0.8727663  0.3126824  0.9614336
##   1e+02  L1         0.005    0.8727837  0.3126824  0.9614336
##   1e+02  L1         0.010    0.8726979  0.3126824  0.9614336
##   1e+02  L1         0.050    0.8730774  0.3065095  0.9623970
##   1e+02  L1         0.100    0.8745088  0.2941639  0.9623970
##   1e+02  L1         0.500    0.8744368  0.3003367  0.9643210
##   1e+02  L1         1.000    0.8800923  0.2452301  0.9739689
##   1e+02  L2_dual    0.001    0.8721516  0.3250281  0.9614364
##   1e+02  L2_dual    0.005    0.8694362  0.2879910  0.9643294
##   1e+02  L2_dual    0.010    0.8722963  0.3188552  0.9614364
##   1e+02  L2_dual    0.050    0.8721085  0.3312009  0.9575801
##   1e+02  L2_dual    0.100    0.8709713  0.3187430  0.9604730
##   1e+02  L2_dual    0.500    0.8717037  0.3310887  0.9604730
##   1e+02  L2_dual    1.000    0.8720092  0.3250281  0.9585463
##   1e+02  L2_primal  0.001    0.8726951  0.3126824  0.9614336
##   1e+02  L2_primal  0.005    0.8726593  0.3126824  0.9614336
##   1e+02  L2_primal  0.010    0.8726593  0.3126824  0.9614336
##   1e+02  L2_primal  0.050    0.8725784  0.3126824  0.9604675
##   1e+02  L2_primal  0.100    0.8725784  0.3126824  0.9604675
##   1e+02  L2_primal  0.500    0.8740667  0.3065095  0.9623970
##   1e+02  L2_primal  1.000    0.8767238  0.2451178  0.9749295
## 
## ROC was used to select the optimal model using  the largest value.
## The final values used for the model were cost = 100, loss = L1 and
##  epsilon = 1.

5.2.2 choose best set of hyperparameters

*display the hyperparameters and model performance

rlr_model$results

5.2.3 ROC density graph

trellis.par.set(caretTheme())
densityplot(rlr_model, pch = "|")

#### 5.2.4 Feature importance

rlr_imp=varImp(rlr_model, scale = FALSE)
rlr_imp
## ROC curve variable importance
## 
##                      Importance
## alcohol                  0.8340
## volatile.acidity         0.7438
## sulphates                0.7297
## citric.acid              0.6644
## density                  0.6552
## total.sulfur.dioxide     0.6508
## chlorides                0.6487
## free.sulfur.dioxide      0.5853
## fixed.acidity            0.5815
## pH                       0.5442
## residual.sugar           0.5268
plot(rlr_imp, top = ncol(df_test)-1)

5.2.5 select top x (x=6) features to fit into models

x can be changed to 20, 25, 28, etc. when there are a large number of features

x_cols=c('alcohol','volatile.acidity','sulphates','citric.acid','total.sulfur.dioxide','chlorides','target')

5.3.1 re-tune the model with top x features

rlr_ctrl=trainControl(method = "cv", 
                      number = 3, 
                      returnResamp = "all",
                      classProbs = TRUE, 
                      summaryFunction = twoClassSummary)

rlr_grid=expand.grid( cost = c(0.01,1,5,10,100),
                       loss = c("L1", "L2_dual", "L2_primal"),
                       epsilon = c(0.001,0.005, 0.01,0.05,0.1,0.5,1) )
set.seed(1234)


rlr_model=train(target ~. , data = df_train[,x_cols],
                method = "regLogistic",
                trControl = rlr_ctrl,
                metric = "ROC", 
                preProc = c("center", "scale"),#scale the data
                tuneGrid = rlr_grid)

rlr_model
## Regularized Logistic Regression 
## 
## 1200 samples
##    6 predictor
##    2 classes: 'good', 'not.good' 
## 
## Pre-processing: centered (6), scaled (6) 
## Resampling: Cross-Validated (3 fold) 
## Summary of sample sizes: 801, 799, 800 
## Resampling results across tuning parameters:
## 
##   cost   loss       epsilon  ROC        Sens       Spec     
##   1e-02  L1         0.001    0.8350088  0.0000000  1.0000000
##   1e-02  L1         0.005    0.8350088  0.0000000  1.0000000
##   1e-02  L1         0.010    0.8350088  0.0000000  1.0000000
##   1e-02  L1         0.050    0.8350088  0.0000000  1.0000000
##   1e-02  L1         0.100    0.8350088  0.0000000  1.0000000
##   1e-02  L1         0.500    0.8350088  0.0000000  1.0000000
##   1e-02  L1         1.000    0.8350088  0.0000000  1.0000000
##   1e-02  L2_dual    0.001    0.8779424  0.2264871  0.9778252
##   1e-02  L2_dual    0.005    0.8779067  0.2264871  0.9778252
##   1e-02  L2_dual    0.010    0.8778720  0.2264871  0.9778252
##   1e-02  L2_dual    0.050    0.8778545  0.2264871  0.9778252
##   1e-02  L2_dual    0.100    0.8778899  0.2264871  0.9778252
##   1e-02  L2_dual    0.500    0.8778368  0.2264871  0.9778252
##   1e-02  L2_dual    1.000    0.8778185  0.2264871  0.9778252
##   1e-02  L2_primal  0.001    0.8778548  0.2264871  0.9778252
##   1e-02  L2_primal  0.005    0.8778370  0.2264871  0.9778252
##   1e-02  L2_primal  0.010    0.8778370  0.2264871  0.9778252
##   1e-02  L2_primal  0.050    0.8780497  0.2203143  0.9778252
##   1e-02  L2_primal  0.100    0.8780497  0.2203143  0.9778252
##   1e-02  L2_primal  0.500    0.8780497  0.2203143  0.9778252
##   1e-02  L2_primal  1.000    0.8788912  0.1649832  0.9826450
##   1e+00  L1         0.001    0.8748244  0.2694725  0.9662506
##   1e+00  L1         0.005    0.8747712  0.2694725  0.9662506
##   1e+00  L1         0.010    0.8747533  0.2694725  0.9662506
##   1e+00  L1         0.050    0.8750217  0.2694725  0.9662506
##   1e+00  L1         0.100    0.8750056  0.2634119  0.9662506
##   1e+00  L1         0.500    0.8763092  0.2510662  0.9730027
##   1e+00  L1         1.000    0.8779171  0.2203143  0.9797464
##   1e+00  L2_dual    0.001    0.8749113  0.2694725  0.9652872
##   1e+00  L2_dual    0.005    0.8748935  0.2694725  0.9652872
##   1e+00  L2_dual    0.010    0.8748756  0.2694725  0.9652872
##   1e+00  L2_dual    0.050    0.8749464  0.2694725  0.9652872
##   1e+00  L2_dual    0.100    0.8749456  0.2694725  0.9652872
##   1e+00  L2_dual    0.500    0.8745223  0.2756453  0.9643238
##   1e+00  L2_dual    1.000    0.8740847  0.2815937  0.9633604
##   1e+00  L2_primal  0.001    0.8748219  0.2694725  0.9652872
##   1e+00  L2_primal  0.005    0.8748397  0.2694725  0.9652872
##   1e+00  L2_primal  0.010    0.8748397  0.2694725  0.9652872
##   1e+00  L2_primal  0.050    0.8751611  0.2694725  0.9662506
##   1e+00  L2_primal  0.100    0.8751611  0.2694725  0.9662506
##   1e+00  L2_primal  0.500    0.8768240  0.2634119  0.9691436
##   1e+00  L2_primal  1.000    0.8785382  0.2388328  0.9758929
##   5e+00  L1         0.001    0.8741961  0.2879910  0.9633604
##   5e+00  L1         0.005    0.8742140  0.2879910  0.9633604
##   5e+00  L1         0.010    0.8741965  0.2879910  0.9633604
##   5e+00  L1         0.050    0.8749461  0.2879910  0.9643238
##   5e+00  L1         0.100    0.8748584  0.2877666  0.9643238
##   5e+00  L1         0.500    0.8765709  0.2634119  0.9672140
##   5e+00  L1         1.000    0.8771394  0.2326599  0.9768563
##   5e+00  L2_dual    0.001    0.8742132  0.3001122  0.9633604
##   5e+00  L2_dual    0.005    0.8741606  0.3001122  0.9633604
##   5e+00  L2_dual    0.010    0.8741606  0.3001122  0.9633604
##   5e+00  L2_dual    0.050    0.8741967  0.3001122  0.9633604
##   5e+00  L2_dual    0.100    0.8741782  0.3001122  0.9633604
##   5e+00  L2_dual    0.500    0.8744587  0.3061728  0.9633604
##   5e+00  L2_dual    1.000    0.8744899  0.3122334  0.9643238
##   5e+00  L2_primal  0.001    0.8741246  0.3001122  0.9633604
##   5e+00  L2_primal  0.005    0.8741246  0.3001122  0.9633604
##   5e+00  L2_primal  0.010    0.8741246  0.3001122  0.9633604
##   5e+00  L2_primal  0.050    0.8746403  0.2818182  0.9643238
##   5e+00  L2_primal  0.100    0.8746403  0.2818182  0.9643238
##   5e+00  L2_primal  0.500    0.8766803  0.2634119  0.9681774
##   5e+00  L2_primal  1.000    0.8784664  0.2388328  0.9758929
##   1e+01  L1         0.001    0.8741596  0.3001122  0.9633604
##   1e+01  L1         0.005    0.8741238  0.3001122  0.9633604
##   1e+01  L1         0.010    0.8743201  0.3001122  0.9633604
##   1e+01  L1         0.050    0.8745161  0.2939394  0.9643238
##   1e+01  L1         0.100    0.8745303  0.2938272  0.9643238
##   1e+01  L1         0.500    0.8785337  0.3243547  0.9633604
##   1e+01  L1         1.000    0.8799317  0.2325477  0.9739717
##   1e+01  L2_dual    0.001    0.8741954  0.3001122  0.9633604
##   1e+01  L2_dual    0.005    0.8741954  0.3001122  0.9633604
##   1e+01  L2_dual    0.010    0.8741775  0.3001122  0.9633604
##   1e+01  L2_dual    0.050    0.8741418  0.3001122  0.9633604
##   1e+01  L2_dual    0.100    0.8741593  0.3001122  0.9633604
##   1e+01  L2_dual    0.500    0.8744936  0.3061728  0.9633604
##   1e+01  L2_dual    1.000    0.8746307  0.3122334  0.9652872
##   1e+01  L2_primal  0.001    0.8741957  0.3001122  0.9633604
##   1e+01  L2_primal  0.005    0.8741241  0.3001122  0.9633604
##   1e+01  L2_primal  0.010    0.8741241  0.3001122  0.9633604
##   1e+01  L2_primal  0.050    0.8744974  0.2939394  0.9643238
##   1e+01  L2_primal  0.100    0.8744974  0.2939394  0.9643238
##   1e+01  L2_primal  0.500    0.8766624  0.2634119  0.9681774
##   1e+01  L2_primal  1.000    0.8784664  0.2388328  0.9758929
##   1e+02  L1         0.001    0.8741774  0.3001122  0.9633604
##   1e+02  L1         0.005    0.8742669  0.3001122  0.9633604
##   1e+02  L1         0.010    0.8742132  0.3001122  0.9633604
##   1e+02  L1         0.050    0.8745902  0.2939394  0.9633604
##   1e+02  L1         0.100    0.8741612  0.3001122  0.9623970
##   1e+02  L1         0.500    0.8763709  0.2937149  0.9730055
##   1e+02  L1         1.000    0.8772599  0.2511785  0.9749295
##   1e+02  L2_dual    0.001    0.8740740  0.3182941  0.9643238
##   1e+02  L2_dual    0.005    0.8736444  0.3059484  0.9643238
##   1e+02  L2_dual    0.010    0.8744129  0.3122334  0.9643238
##   1e+02  L2_dual    0.050    0.8738152  0.2940516  0.9595069
##   1e+02  L2_dual    0.100    0.8741444  0.3122334  0.9643238
##   1e+02  L2_dual    0.500    0.8743239  0.3182941  0.9623970
##   1e+02  L2_dual    1.000    0.8741282  0.3182941  0.9643238
##   1e+02  L2_primal  0.001    0.8741953  0.3001122  0.9633604
##   1e+02  L2_primal  0.005    0.8741774  0.3001122  0.9633604
##   1e+02  L2_primal  0.010    0.8741774  0.3001122  0.9633604
##   1e+02  L2_primal  0.050    0.8743725  0.3001122  0.9643238
##   1e+02  L2_primal  0.100    0.8743725  0.3001122  0.9643238
##   1e+02  L2_primal  0.500    0.8766262  0.2634119  0.9681774
##   1e+02  L2_primal  1.000    0.8784839  0.2388328  0.9758929
## 
## ROC was used to select the optimal model using  the largest value.
## The final values used for the model were cost = 10, loss = L1 and
##  epsilon = 1.
trellis.par.set(caretTheme())
plot(rlr_model)

plot(rlr_model, metric = "ROC")

plot(rlr_model, metric = "ROC", plotType = "level",
     scales = list(x = list(rot = 90)))

ggplot(rlr_model) 

rlr_model$results

5.3.2 choose the best set of hyperparameters

rlr_model$results[order(rlr_model$results$ROC, decreasing = T),][1:5,]

5.4.1 generate final model

rlr_ctrl=trainControl(method = "cv", 
                      number = 3, 
                      returnResamp = "all",
                      classProbs = TRUE, 
                      summaryFunction = twoClassSummary)

rlr_grid=expand.grid( cost = c(1),
                       loss = c("L1"),
                       epsilon = c(0.001) )
set.seed(1234)


rlr_model=train(target ~. , data = df_train[,x_cols], 
                             method = "regLogistic", 
                             trControl = rlr_ctrl,
                             metric = "ROC", 
                             preProc = c("center", "scale"),#scale the data
                             tuneGrid = rlr_grid)

rlr_model
## Regularized Logistic Regression 
## 
## 1200 samples
##    6 predictor
##    2 classes: 'good', 'not.good' 
## 
## Pre-processing: centered (6), scaled (6) 
## Resampling: Cross-Validated (3 fold) 
## Summary of sample sizes: 801, 799, 800 
## Resampling results:
## 
##   ROC        Sens       Spec     
##   0.8748243  0.2694725  0.9662506
## 
## Tuning parameter 'cost' was held constant at a value of 1
## Tuning
##  parameter 'loss' was held constant at a value of L1
## Tuning
##  parameter 'epsilon' was held constant at a value of 0.001

5.4.2 Evalute model performance on holdout dataset

rlr_predict=predict(rlr_model, newdata = df_test[,x_cols], type = "prob")
head(rlr_predict)
rlr_pred_obs=rlr_predict
rlr_pred_obs['obs']=df_test['target']
rlr_pred_obs['pred']=ifelse(rlr_pred_obs$not.good>0.864,'not.good','good') #use base rate as threshold
rlr_pred_obs$pred=as.factor(rlr_pred_obs$pred)

head(rlr_pred_obs)
twoClassSummary(rlr_pred_obs, lev = levels(rlr_pred_obs$obs))
##       ROC      Sens      Spec 
## 0.8565754 0.8148148 0.7536232

6. Compare models

gbm_final_perf=twoClassSummary(gbm_pred_obs, lev = levels(gbm_pred_obs$obs))
rf_final_perf=twoClassSummary(rf_pred_obs, lev = levels(rf_pred_obs$obs))
xgb_final_perf=twoClassSummary(xgb_pred_obs, lev = levels(xgb_pred_obs$obs))
rlr_final_perf=twoClassSummary(rlr_pred_obs, lev = levels(rlr_pred_obs$obs))

all_perf=data.frame(rbind(gbm_final_perf,rf_final_perf,xgb_final_perf,rlr_final_perf))
all_perf