R Markdown

This is an R Markdown document. Markdown is a simple formatting syntax for authoring HTML, PDF, and MS Word documents. For more details on using R Markdown see http://rmarkdown.rstudio.com.

When you click the Knit button a document will be generated that includes both content as well as the output of any embedded R code chunks within the document. You can embed an R code chunk like this:

summary(cars)
##      speed           dist       
##  Min.   : 4.0   Min.   :  2.00  
##  1st Qu.:12.0   1st Qu.: 26.00  
##  Median :15.0   Median : 36.00  
##  Mean   :15.4   Mean   : 42.98  
##  3rd Qu.:19.0   3rd Qu.: 56.00  
##  Max.   :25.0   Max.   :120.00

Including Plots

You can also embed plots, for example:

hotel.df<-read.csv(paste("Cities42.csv",sep=""))
View(hotel.df)
attach(hotel.df)
#Removing the repeated date by gsub command

hotel.df$Date<-gsub("18-Dec-16", "Dec 18 2016", hotel.df$Date)
hotel.df$Date<-gsub("21-Dec-16", "Dec 21 2016", hotel.df$Date)
hotel.df$Date<-gsub("24-Dec-16", "Dec 24 2016", hotel.df$Date)
hotel.df$Date<-gsub("25-Dec-16", "Dec 25 2016", hotel.df$Date)
hotel.df$Date<-gsub("28-Dec-16", "Dec 28 2016", hotel.df$Date)
hotel.df$Date<-gsub("31-Dec-16", "Dec 31 2016", hotel.df$Date)
hotel.df$Date<-gsub("4-Jan-17", "Jan 04 2017", hotel.df$Date)
hotel.df$Date<-gsub("4-Jan-16", "Jan 04 2017", hotel.df$Date)
hotel.df$Date<-gsub("8-Jan-16", "Jan 08 2017", hotel.df$Date)
hotel.df$Date<-gsub("8-Jan-17", "Jan 08 2017", hotel.df$Date)
hotel.df$Date<-gsub("Jan 4 2017", "Jan 04 2017", hotel.df$Date)
hotel.df$Date<-gsub("Jan 8 2017", "Jan 08 2017", hotel.df$Date)
#Checking the dates

table(hotel.df$Date)
## 
## Dec 18 2016 Dec 21 2016 Dec 24 2016 Dec 25 2016 Dec 28 2016 Dec 31 2016 
##        1652        1655        1655        1655        1655        1655 
## Jan 04 2017 Jan 08 2017 
##        1652        1653
#Changing dates to factors for labelling 

hotel.df$Date<-factor(hotel.df$Date)
is.factor(hotel.df$Date)
## [1] TRUE
#Checking the labelling
levels(hotel.df$Date)
## [1] "Dec 18 2016" "Dec 21 2016" "Dec 24 2016" "Dec 25 2016" "Dec 28 2016"
## [6] "Dec 31 2016" "Jan 04 2017" "Jan 08 2017"
#Analyzing the summary of the data and describing the variables

library(psych)
describe(hotel.df)
##                      vars     n       mean         sd    median    trimmed
## X                       1 13232    6616.50    3819.89    6616.5    6616.50
## CityName*               2 13232      18.07      11.72      16.0      17.29
## Population              3 13232 4416836.87 4258386.00 3046163.0 4040816.22
## CityRank                4 13232      14.83      13.51       9.0      13.30
## IsMetroCity             5 13232       0.28       0.45       0.0       0.23
## IsTouristDestination    6 13232       0.70       0.46       1.0       0.75
## IsWeekend               7 13232       0.62       0.48       1.0       0.65
## IsNewYearEve            8 13232       0.12       0.33       0.0       0.03
## Date*                   9 13232       4.50       2.29       4.0       4.50
## HotelName*             10 13232     841.19     488.16     827.0     841.18
## RoomRent               11 13232    5473.99    7333.12    4000.0    4383.33
## StarRating             12 13232       3.46       0.76       3.0       3.40
## Airport                13 13232      21.16      22.76      15.0      16.39
## HotelAddress*          14 13232    1202.53     582.17    1261.0    1233.25
## HotelPincode           15 13232  397430.26  259837.50  395003.0  388540.47
## HotelDescription*      16 13224     581.34     363.26     567.0     575.37
## FreeWifi               17 13232       0.93       0.26       1.0       1.00
## FreeBreakfast          18 13232       0.65       0.48       1.0       0.69
## HotelCapacity          19 13232      62.51      76.66      34.0      46.03
## HasSwimmingPool        20 13232       0.36       0.48       0.0       0.32
##                             mad      min      max      range  skew
## X                       4904.44      1.0    13232    13231.0  0.00
## CityName*                 11.86      1.0       42       41.0  0.48
## Population           3846498.95   8096.0 12442373 12434277.0  0.68
## CityRank                  11.86      0.0       44       44.0  0.69
## IsMetroCity                0.00      0.0        1        1.0  0.96
## IsTouristDestination       0.00      0.0        1        1.0 -0.86
## IsWeekend                  0.00      0.0        1        1.0 -0.51
## IsNewYearEve               0.00      0.0        1        1.0  2.28
## Date*                      2.97      1.0        8        7.0  0.00
## HotelName*               641.97      1.0     1670     1669.0  0.01
## RoomRent                2653.85    299.0   322500   322201.0 16.75
## StarRating                 0.74      0.0        5        5.0  0.48
## Airport                   11.12      0.2      124      123.8  2.73
## HotelAddress*            668.65      1.0     2108     2107.0 -0.37
## HotelPincode          257975.37 100025.0  7000157  6900132.0  9.99
## HotelDescription*        472.95      1.0     1226     1225.0  0.11
## FreeWifi                   0.00      0.0        1        1.0 -3.25
## FreeBreakfast              0.00      0.0        1        1.0 -0.62
## HotelCapacity             28.17      0.0      600      600.0  2.95
## HasSwimmingPool            0.00      0.0        1        1.0  0.60
##                      kurtosis       se
## X                       -1.20    33.21
## CityName*               -0.88     0.10
## Population              -1.08 37019.65
## CityRank                -0.76     0.12
## IsMetroCity             -1.08     0.00
## IsTouristDestination    -1.26     0.00
## IsWeekend               -1.74     0.00
## IsNewYearEve             3.18     0.00
## Date*                   -1.24     0.02
## HotelName*              -1.25     4.24
## RoomRent               582.06    63.75
## StarRating               0.25     0.01
## Airport                  7.89     0.20
## HotelAddress*           -0.88     5.06
## HotelPincode           249.76  2258.86
## HotelDescription*       -1.25     3.16
## FreeWifi                 8.57     0.00
## FreeBreakfast           -1.61     0.00
## HotelCapacity           11.39     0.67
## HasSwimmingPool         -1.64     0.00
summary(hotel.df)
##        X              CityName      Population          CityRank    
##  Min.   :    1   Delhi    :2048   Min.   :    8096   Min.   : 0.00  
##  1st Qu.: 3309   Jaipur   : 768   1st Qu.:  744983   1st Qu.: 2.00  
##  Median : 6616   Mumbai   : 712   Median : 3046163   Median : 9.00  
##  Mean   : 6616   Bangalore: 656   Mean   : 4416837   Mean   :14.83  
##  3rd Qu.: 9924   Goa      : 624   3rd Qu.: 8443675   3rd Qu.:24.00  
##  Max.   :13232   Kochi    : 608   Max.   :12442373   Max.   :44.00  
##                  (Other)  :7816                                     
##   IsMetroCity     IsTouristDestination   IsWeekend       IsNewYearEve   
##  Min.   :0.0000   Min.   :0.0000       Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.0000       1st Qu.:0.0000   1st Qu.:0.0000  
##  Median :0.0000   Median :1.0000       Median :1.0000   Median :0.0000  
##  Mean   :0.2842   Mean   :0.6972       Mean   :0.6228   Mean   :0.1244  
##  3rd Qu.:1.0000   3rd Qu.:1.0000       3rd Qu.:1.0000   3rd Qu.:0.0000  
##  Max.   :1.0000   Max.   :1.0000       Max.   :1.0000   Max.   :1.0000  
##                                                                         
##           Date                       HotelName        RoomRent     
##  Dec 21 2016:1655   Vivanta by Taj        :   32   Min.   :   299  
##  Dec 24 2016:1655   Goldfinch Hotel       :   24   1st Qu.:  2436  
##  Dec 25 2016:1655   OYO Rooms             :   24   Median :  4000  
##  Dec 28 2016:1655   The Gordon House Hotel:   24   Mean   :  5474  
##  Dec 31 2016:1655   Apnayt Villa          :   16   3rd Qu.:  6299  
##  Jan 08 2017:1653   Bentleys Hotel Colaba :   16   Max.   :322500  
##  (Other)    :3304   (Other)               :13096                   
##    StarRating       Airport      
##  Min.   :0.000   Min.   :  0.20  
##  1st Qu.:3.000   1st Qu.:  8.40  
##  Median :3.000   Median : 15.00  
##  Mean   :3.459   Mean   : 21.16  
##  3rd Qu.:4.000   3rd Qu.: 24.00  
##  Max.   :5.000   Max.   :124.00  
##                                  
##                                                                    HotelAddress  
##  The Mall, Shimla                                                        :   32  
##  #2-91/14/8, White Fields, Kondapur, Hitech City, Hyderabad, 500084 India:   16  
##  121, City Terrace, Walchand Hirachand Marg, Mumbai, Maharashtra         :   16  
##  14-4507/9, Balmatta Road, Near Jyothi Circle, Hampankatta               :   16  
##  144/7, Rajiv Gandi Salai (OMR), Kottivakkam, Chennai, Tamil Nadu        :   16  
##  17, Oliver Road, Colaba, Mumbai, Maharashtra                            :   16  
##  (Other)                                                                 :13120  
##   HotelPincode         HotelDescription    FreeWifi      FreeBreakfast   
##  Min.   : 100025   3           :  120   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.: 221001   Abc         :  112   1st Qu.:1.0000   1st Qu.:0.0000  
##  Median : 395003   3-star hotel:  104   Median :1.0000   Median :1.0000  
##  Mean   : 397430   3.5         :   88   Mean   :0.9259   Mean   :0.6491  
##  3rd Qu.: 570001   4           :   72   3rd Qu.:1.0000   3rd Qu.:1.0000  
##  Max.   :7000157   (Other)     :12728   Max.   :1.0000   Max.   :1.0000  
##                    NA's        :    8                                    
##  HotelCapacity    HasSwimmingPool 
##  Min.   :  0.00   Min.   :0.0000  
##  1st Qu.: 16.00   1st Qu.:0.0000  
##  Median : 34.00   Median :0.0000  
##  Mean   : 62.51   Mean   :0.3558  
##  3rd Qu.: 75.00   3rd Qu.:1.0000  
##  Max.   :600.00   Max.   :1.0000  
## 
#Taking Y = RoomRent, identifying the most relevent predictor variables by  correlation corrgram


#Corrgram

library(corrgram)

corrgram(hotel.df, order=TRUE, lower.panel=panel.shade,
         upper.panel=panel.pie, text.panel=panel.txt,
         main="Corrgram of Hotel  data")

##through corrgram HasSwimming, StarRating, HotelCapital are very well correlated to RoomRent
##so we can take them as predictors
##Visualizing data for Y as Room rent and X1,X2,X3 as HasSwimmingPool, StarRating and HotelCapacity respectively

#Table for HasSwimmingPool
table(hotel.df$HasSwimmingPool)
## 
##    0    1 
## 8524 4708
Swim<-table(hotel.df$HasSwimmingPool)
barplot(Swim,main="Barrplot of Hotel Swimming Pool")

#Table for StarRating
table(hotel.df$StarRating)
## 
##    0    1    2  2.5    3  3.2  3.3  3.4  3.5  3.6  3.7  3.8  3.9    4  4.1 
##   16    8  440  632 5953    8   16    8 1752    8   24   16   32 2463   24 
##  4.3  4.4  4.5  4.7  4.8    5 
##   16    8  376    8   16 1408
starRating<-table(hotel.df$StarRating)
barplot(starRating,main = "Barrplot for Star Rating")

#BoxPlot for HotelCapacity
boxplot(hotel.df$HotelCapacity, main="Boxplot for Hotel Capacity",horizontal = TRUE)

#Scatterplot pair wise for predictor variable

library(car)
## 
## Attaching package: 'car'
## The following object is masked from 'package:psych':
## 
##     logit
#StarRating Vs RoomRent

scatterplot(hotel.df$StarRating,hotel.df$RoomRent,main="RoomRent of Hotels  with StarRating",ylab = "RoomRent in INR", xlab="Star rating out of 5",cex=1.1)

#RoomRent Vs HotelCapacity

scatterplot(hotel.df$RoomRent,hotel.df$HotelCapacity,main="RoomRent of Hotels  with Hotel capacity",ylab = "Hotel Capacity in rooms", xlab="RoomRent in INR",cex=1.1)

#RoomRent Vs HasSwimmingPool

plot(jitter(hotel.df$RoomRent),jitter(hotel.df$HasSwimmingPool),main="RoomRent of Hotels  with HasSwimmingPool",ylab = "Has Swimmng Pool ", xlab="RoomRent",cex=1.1)

library(lattice)
bwplot(HasSwimmingPool~RoomRent, data = hotel.df,main="RoomRent of Hotels  with HasSwimmingPool",ylab = "Has Swimmng Pool ", xlab="RoomRent" )

#Scatterplot matrix

scatterplotMatrix(
  hotel.df[
    ,c("RoomRent","HasSwimmingPool","StarRating", "HotelCapacity")], 
  spread=FALSE, smoother.args=list(lty=2),
  main="Scatter Plot Matrix", diagonal = "histogram")
## Warning in smoother(x, y, col = col[2], log.x = FALSE, log.y = FALSE,
## spread = spread, : could not fit smooth

#Corrgram of Y, x1, x2, x3

library(corrgram)

xyz<-data.frame(hotel.df$RoomRent, hotel.df$HasSwimmingPool, hotel.df$HotelCapacity, hotel.df$StarRating)
corrgram(xyz, order=TRUE, lower.panel=panel.shade,
         upper.panel=panel.pie, text.panel=panel.txt,
         main="Corrgram of Hotel Prices In India")

#Variance-Covariance Matrix for Y, x1, x2, x3

x<-hotel.df[,c("HasSwimmingPool","StarRating", "HotelCapacity")]
y<-hotel.df[,c("RoomRent")]
cor(x,y)
##                      [,1]
## HasSwimmingPool 0.3116577
## StarRating      0.3693734
## HotelCapacity   0.1578733
cov(x,y)
##                      [,1]
## HasSwimmingPool  1094.202
## StarRating       2048.375
## HotelCapacity   88753.413
var(x,y)
##                      [,1]
## HasSwimmingPool  1094.202
## StarRating       2048.375
## HotelCapacity   88753.413
#Forming a variable which is having RoomRent less than 1 lakh because the outliers effect the average
RoomRent1.df <-hotel.df[which(hotel.df$RoomRent<100000),]
#Comparing other factors and their pattern using other trends with roomrent

#Analyzing IsWeekeng effect on RoomRent
table(hotel.df$IsWeekend)
## 
##    0    1 
## 4991 8241
table1<-table(hotel.df$IsWeekend)
barplot(table1, main="Distribution of Weekend", xlab="Not weekend(0)"  )

#Effect of Isweekend on RoomRent
iw= aggregate(RoomRent ~ IsWeekend, data=hotel.df,mean)
iw
##   IsWeekend RoomRent
## 1         0 5430.835
## 2         1 5500.129
boxplot(RoomRent~hotel.df$IsWeekend,data=hotel.df, main="Room rent vs. IsWeekend", ylab="Not weekend(0)  weekend(1)", xlab="Room Rent in rupees ", col=c("red","blue"),horizontal=TRUE)

#Comapring RoomRent on different dates
table(hotel.df$Date)
## 
## Dec 18 2016 Dec 21 2016 Dec 24 2016 Dec 25 2016 Dec 28 2016 Dec 31 2016 
##        1652        1655        1655        1655        1655        1655 
## Jan 04 2017 Jan 08 2017 
##        1652        1653
library(lattice)
histogram(~Date, data = hotel.df, main="Distribution of Dates", xlab = "Differnt of Dates", col="Blue")

#Effect of different dates on RoomRent

d = aggregate(RoomRent ~ Date, data = hotel.df,mean)
d
##          Date RoomRent
## 1 Dec 18 2016 4896.402
## 2 Dec 21 2016 5085.315
## 3 Dec 24 2016 5543.236
## 4 Dec 25 2016 5464.143
## 5 Dec 28 2016 5593.924
## 6 Dec 31 2016 6191.776
## 7 Jan 04 2017 5674.062
## 8 Jan 08 2017 5342.234
boxplot(RoomRent~Date,data=hotel.df, main="Room rent vs. Date", ylab="Different Dates", xlab="Room Rent in rupees ", col=c("red","blue","green","yellow"),horizontal=TRUE)

#Analyzing IsMetroCity effect on RoomRent
table(hotel.df$IsMetroCity)
## 
##    0    1 
## 9472 3760
table1<-table(hotel.df$IsMetroCity)
barplot(table1, main="Distribution of IsMetroCity", xlab="Not a Metro city(0)         Is a Metro City(1)", col="blue")

#Effect of IsMetroCity on RoomRent
imc = aggregate(RoomRent ~ IsMetroCity, data = hotel.df, mean)
imc
##   IsMetroCity RoomRent
## 1           0 5782.794
## 2           1 4696.073
boxplot(RoomRent~IsMetroCity,data=hotel.df, main="Room rent vs. IsMetroCity", ylab="Metro city(1) or not(0)", xlab="Room Rent in rupees ", col=c("red","blue","green","yellow"),horizontal=TRUE)

#Analyzing IsTouristDestination effect on RoomRent
table(hotel.df$IsTouristDestination)
## 
##    0    1 
## 4007 9225
table1<-table(hotel.df$IsTouristDestination)
barplot(table1, main="Distribution of IsToursitDestination", xlab="Not a Tourist Destination(0)         Is a Tourist Destination(1)", col="yellow")

#Effect of IsTouristDestination on RoomRent
itd = aggregate(RoomRent ~ IsTouristDestination, data = hotel.df, mean)
itd
##   IsTouristDestination RoomRent
## 1                    0 4111.003
## 2                    1 6066.024
boxplot(RoomRent~IsMetroCity,data=hotel.df, main="Room rent vs. IsMetroCity", ylab="Metro city(1) or not(0)", xlab="Room Rent in rupees ", col=c("red","blue","green","yellow"),horizontal=TRUE)

#Analyzing Airport distance from hotel effects in what way on RoomRent
summary(hotel.df$Airport)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    0.20    8.40   15.00   21.16   24.00  124.00
boxplot(hotel.df$Airport, main="Boxplot of Airport",xlab= "Distance of airport from hotel(Km)" ,col="green",horizontal = TRUE)

#Effect of Airport distance on RoomRent

scatterplot(hotel.df$Airport,hotel.df$RoomRent, main="Room rent vs. Airport distance", xlab="Airport distance(km)", ylab="Room Rent in rupees ",cex=1.1)

#Analyzing FreeWifi Vs RoomRent
table(hotel.df$FreeWifi)
## 
##     0     1 
##   981 12251
fw<-table(hotel.df$FreeWifi)
barplot(fw, main="Borplot of FreeWifi",xlab= "FreeWifi" ,col="red")

#Effect of FreeWifi on RoomRent
fw = aggregate(RoomRent ~ FreeWifi, data = hotel.df, mean)
fw
##   FreeWifi RoomRent
## 1        0 5380.004
## 2        1 5481.518
##With extreme outliers of roomrent
boxplot(RoomRent~FreeWifi,data=hotel.df, main="Room rent vs. FreeWifi", ylab="Free Wifi available(1)", xlab="Room Rent in rupees ", col=c("red","blue","green","yellow"),horizontal=TRUE)

##Without extreme outliers of roomrent
boxplot(RoomRent~FreeWifi,data=RoomRent1.df, main="Room rent vs. FreeWifi", ylab="Free Wifi available(1)", xlab="Room Rent in rupees ", col=c("red","blue","green","yellow"),horizontal=TRUE)

#Analyzing FreeBreakfast Vs RoomRent
table(hotel.df$FreeWifi)
## 
##     0     1 
##   981 12251
fw<-table(hotel.df$FreeBreakfast)
barplot(fw, main="Borplot of FreeBreakfast",xlab= "FreeWifi" ,col="red")

#Effect of FreeBreakfast on RoomRent
fb = aggregate(RoomRent ~ FreeBreakfast, data =hotel.df, mean)
fb1  = aggregate(RoomRent ~ FreeBreakfast, data =RoomRent1.df, mean)
fb
##   FreeBreakfast RoomRent
## 1             0 5573.790
## 2             1 5420.044
fb1
##   FreeBreakfast RoomRent
## 1             0 5341.260
## 2             1 5420.044
##With extreme outliers of roomrent
boxplot(RoomRent~FreeBreakfast,data=hotel.df, main="Room rent vs. FreeBreakfast", ylab="Free Breakfast available(1)", xlab="Room Rent in rupees ", col=c("green","yellow"),horizontal=TRUE)

##Without extreme outliers of roomrent
boxplot(RoomRent~FreeBreakfast,data=RoomRent1.df, main="Room rent vs. FreeBreakfast", ylab="Free Breakfast available(1)", xlab="Room Rent in rupees ", col=c("green","yellow"),horizontal=TRUE)

hotel.df<-read.csv(paste("Cities42.csv",sep=""))
View(hotel.df)
attach(hotel.df)
## The following objects are masked from hotel.df (pos = 7):
## 
##     Airport, CityName, CityRank, Date, FreeBreakfast, FreeWifi,
##     HasSwimmingPool, HotelAddress, HotelCapacity,
##     HotelDescription, HotelName, HotelPincode, IsMetroCity,
##     IsNewYearEve, IsTouristDestination, IsWeekend, Population,
##     RoomRent, StarRating, X
#sumary statistics
library(psych)
describe(hotel.df)
##                      vars     n       mean         sd    median    trimmed
## X                       1 13232    6616.50    3819.89    6616.5    6616.50
## CityName*               2 13232      18.07      11.72      16.0      17.29
## Population              3 13232 4416836.87 4258386.00 3046163.0 4040816.22
## CityRank                4 13232      14.83      13.51       9.0      13.30
## IsMetroCity             5 13232       0.28       0.45       0.0       0.23
## IsTouristDestination    6 13232       0.70       0.46       1.0       0.75
## IsWeekend               7 13232       0.62       0.48       1.0       0.65
## IsNewYearEve            8 13232       0.12       0.33       0.0       0.03
## Date*                   9 13232      14.26       2.82      14.0      14.39
## HotelName*             10 13232     841.19     488.16     827.0     841.18
## RoomRent               11 13232    5473.99    7333.12    4000.0    4383.33
## StarRating             12 13232       3.46       0.76       3.0       3.40
## Airport                13 13232      21.16      22.76      15.0      16.39
## HotelAddress*          14 13232    1202.53     582.17    1261.0    1233.25
## HotelPincode           15 13232  397430.26  259837.50  395003.0  388540.47
## HotelDescription*      16 13224     581.34     363.26     567.0     575.37
## FreeWifi               17 13232       0.93       0.26       1.0       1.00
## FreeBreakfast          18 13232       0.65       0.48       1.0       0.69
## HotelCapacity          19 13232      62.51      76.66      34.0      46.03
## HasSwimmingPool        20 13232       0.36       0.48       0.0       0.32
##                             mad      min      max      range  skew
## X                       4904.44      1.0    13232    13231.0  0.00
## CityName*                 11.86      1.0       42       41.0  0.48
## Population           3846498.95   8096.0 12442373 12434277.0  0.68
## CityRank                  11.86      0.0       44       44.0  0.69
## IsMetroCity                0.00      0.0        1        1.0  0.96
## IsTouristDestination       0.00      0.0        1        1.0 -0.86
## IsWeekend                  0.00      0.0        1        1.0 -0.51
## IsNewYearEve               0.00      0.0        1        1.0  2.28
## Date*                      2.97      1.0       20       19.0 -1.05
## HotelName*               641.97      1.0     1670     1669.0  0.01
## RoomRent                2653.85    299.0   322500   322201.0 16.75
## StarRating                 0.74      0.0        5        5.0  0.48
## Airport                   11.12      0.2      124      123.8  2.73
## HotelAddress*            668.65      1.0     2108     2107.0 -0.37
## HotelPincode          257975.37 100025.0  7000157  6900132.0  9.99
## HotelDescription*        472.95      1.0     1226     1225.0  0.11
## FreeWifi                   0.00      0.0        1        1.0 -3.25
## FreeBreakfast              0.00      0.0        1        1.0 -0.62
## HotelCapacity             28.17      0.0      600      600.0  2.95
## HasSwimmingPool            0.00      0.0        1        1.0  0.60
##                      kurtosis       se
## X                       -1.20    33.21
## CityName*               -0.88     0.10
## Population              -1.08 37019.65
## CityRank                -0.76     0.12
## IsMetroCity             -1.08     0.00
## IsTouristDestination    -1.26     0.00
## IsWeekend               -1.74     0.00
## IsNewYearEve             3.18     0.00
## Date*                    2.93     0.02
## HotelName*              -1.25     4.24
## RoomRent               582.06    63.75
## StarRating               0.25     0.01
## Airport                  7.89     0.20
## HotelAddress*           -0.88     5.06
## HotelPincode           249.76  2258.86
## HotelDescription*       -1.25     3.16
## FreeWifi                 8.57     0.00
## FreeBreakfast           -1.61     0.00
## HotelCapacity           11.39     0.67
## HasSwimmingPool         -1.64     0.00
#visualizing plots of y=f(x1,x2,x3,,,)
plot(~StarRating+RoomRent,main="Room rent vs Star Rating")

tablerent<-table(StarRating)
tablerent
## StarRating
##    0    1    2  2.5    3  3.2  3.3  3.4  3.5  3.6  3.7  3.8  3.9    4  4.1 
##   16    8  440  632 5953    8   16    8 1752    8   24   16   32 2463   24 
##  4.3  4.4  4.5  4.7  4.8    5 
##   16    8  376    8   16 1408
library(lattice)
histogram(~StarRating,type="percent",data=hotel.df)

mytable3<-xtabs(~RoomRent+StarRating,data=hotel.df)
View(mytable3)

boxplot(RoomRent+HotelCapacity,data=hotel.df,xlab="rent",ylab="hotel capacity",main="Boxplot showing distribution of hotel capacity vs rent",horizontal=TRUE)

plot(~HotelCapacity+RoomRent,main="Room rent vs Hotel Capacity")
abline(0,1)

mytable<-table(IsTouristDestination)
View(mytable)
library(lattice)
histogram(~IsTouristDestination,type="percent",data=hotel.df)

plot(~IsTouristDestination+RoomRent,main="Room rent vs Is Tourist Destination")

library(Hmisc)
## Loading required package: survival
## Loading required package: Formula
## Loading required package: ggplot2
## 
## Attaching package: 'ggplot2'
## The following objects are masked from 'package:psych':
## 
##     %+%, alpha
## 
## Attaching package: 'Hmisc'
## The following object is masked from 'package:psych':
## 
##     describe
## The following objects are masked from 'package:base':
## 
##     format.pval, units
#correlational Matrix of variables
corMatrix<-rcorr(as.matrix(hotel.df[,c('RoomRent','IsTouristDestination','HotelCapacity','StarRating')]))
corMatrix
##                      RoomRent IsTouristDestination HotelCapacity
## RoomRent                 1.00                 0.12          0.16
## IsTouristDestination     0.12                 1.00         -0.09
## HotelCapacity            0.16                -0.09          1.00
## StarRating               0.37                -0.04          0.64
##                      StarRating
## RoomRent                   0.37
## IsTouristDestination      -0.04
## HotelCapacity              0.64
## StarRating                 1.00
## 
## n= 13232 
## 
## 
## P
##                      RoomRent IsTouristDestination HotelCapacity
## RoomRent                       0                    0           
## IsTouristDestination  0                             0           
## HotelCapacity         0        0                                
## StarRating            0        0                    0           
##                      StarRating
## RoomRent              0        
## IsTouristDestination  0        
## HotelCapacity         0        
## StarRating
library(car)
library(corrgram)
corrgram(hotel.df[,c('RoomRent','IsTouristDestination','HotelCapacity','StarRating')],lower.panel=panel.pts, upper.panel=panel.pie,
         diag.panel=panel.minmax, text.panel=panel.txt)

scatterplotMatrix(~RoomRent++IsMetroCity+StarRating+HotelCapacity,data=hotel.df)

#splitting it into training set and test set
library(caTools)
set.seed(123)
split = sample.split(RoomRent, SplitRatio = 0.8)
training_set = subset(hotel.df, split == TRUE)
test_set = subset(hotel.df, split == FALSE)
View(training_set)
View(test_set)


#creating a regressor of statistically significant parameters
fit1<-lm(formula=RoomRent~IsTouristDestination+HotelCapacity+StarRating, data =training_set)
summary(fit1)
## 
## Call:
## lm(formula = RoomRent ~ IsTouristDestination + HotelCapacity + 
##     StarRating, data = training_set)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -11023  -2483   -867   1003 309647 
## 
## Coefficients:
##                        Estimate Std. Error t value Pr(>|t|)    
## (Intercept)          -10728.762    380.686  -28.18   <2e-16 ***
## IsTouristDestination   2110.171    148.595   14.20   <2e-16 ***
## HotelCapacity           -11.503      1.139  -10.10   <2e-16 ***
## StarRating             4476.120    116.171   38.53   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 7045 on 10767 degrees of freedom
## Multiple R-squared:  0.1578, Adjusted R-squared:  0.1576 
## F-statistic: 672.5 on 3 and 10767 DF,  p-value: < 2.2e-16
library(car)
plot(HasSwimmingPool,RoomRent)

aggregate(cbind(IsTouristDestination,HasSwimmingPool,IsWeekend,IsNewYearEve,FreeWifi,FreeBreakfast) ~RoomRent,
          data =hotel.df, mean)
##      RoomRent IsTouristDestination HasSwimmingPool IsWeekend IsNewYearEve
## 1         299           1.00000000      0.00000000 0.5000000   0.00000000
## 2         324           1.00000000      0.00000000 1.0000000   0.00000000
## 3         349           1.00000000      0.00000000 0.6666667   0.16666667
## 4         491           1.00000000      0.00000000 1.0000000   0.00000000
## 5         499           1.00000000      0.00000000 1.0000000   0.00000000
## 6         500           1.00000000      0.00000000 0.5000000   0.00000000
## 7         504           1.00000000      0.00000000 0.3333333   0.00000000
## 8         540           1.00000000      0.00000000 0.4000000   0.20000000
## 9         560           1.00000000      0.00000000 0.7500000   0.25000000
## 10        605           1.00000000      0.00000000 0.5000000   0.00000000
## 11        613           1.00000000      0.00000000 0.5000000   0.00000000
## 12        623           1.00000000      0.00000000 1.0000000   0.00000000
## 13        642           1.00000000      0.00000000 0.6666667   0.00000000
## 14        650           1.00000000      0.00000000 1.0000000   1.00000000
## 15        655           1.00000000      0.00000000 0.3333333   0.00000000
## 16        679           0.00000000      1.00000000 0.6666667   0.16666667
## 17        698           1.00000000      0.00000000 0.5000000   0.50000000
## 18        727           1.00000000      0.00000000 0.5000000   0.00000000
## 19        766           0.00000000      0.00000000 0.6666667   0.16666667
## 20        780           1.00000000      0.00000000 0.7500000   0.25000000
## 21        796           1.00000000      0.00000000 1.0000000   0.00000000
## 22        798           1.00000000      0.00000000 0.5714286   0.14285714
## 23        799           1.00000000      0.00000000 0.6666667   0.00000000
## 24        801           1.00000000      0.00000000 0.5000000   0.00000000
## 25        824           1.00000000      0.00000000 0.6666667   0.00000000
## 26        834           1.00000000      0.00000000 0.5000000   0.00000000
## 27        844           1.00000000      0.00000000 0.6250000   0.12500000
## 28        850           1.00000000      0.00000000 0.8181818   0.18181818
## 29        851           1.00000000      0.00000000 0.6666667   0.00000000
## 30        852           0.00000000      0.00000000 0.5000000   0.50000000
## 31        874           1.00000000      0.00000000 0.5000000   0.00000000
## 32        877           1.00000000      0.00000000 0.5000000   0.50000000
## 33        880           1.00000000      0.00000000 1.0000000   0.00000000
## 34        896           1.00000000      0.00000000 1.0000000   0.00000000
## 35        897           0.00000000      0.00000000 0.5000000   0.00000000
## 36        909           1.00000000      0.00000000 0.7500000   0.25000000
## 37        915           0.00000000      0.00000000 0.6000000   0.20000000
## 38        921           1.00000000      0.00000000 0.6666667   0.00000000
## 39        922           0.00000000      0.00000000 0.5000000   0.00000000
## 40        931           1.00000000      0.00000000 1.0000000   0.00000000
## 41        937           1.00000000      0.00000000 0.5714286   0.14285714
## 42        950           1.00000000      0.00000000 0.5000000   0.00000000
## 43        953           1.00000000      0.00000000 0.2500000   0.00000000
## 44        968           0.00000000      0.00000000 0.6000000   0.00000000
## 45        971           1.00000000      0.00000000 0.7500000   0.25000000
## 46        984           1.00000000      0.00000000 1.0000000   0.00000000
## 47        990           1.00000000      0.00000000 1.0000000   0.00000000
## 48        995           1.00000000      0.00000000 0.5714286   0.14285714
## 49        999           1.00000000      0.00000000 0.6363636   0.09090909
## 50       1000           1.00000000      0.44444444 0.5555556   0.00000000
## 51       1001           1.00000000      0.00000000 1.0000000   0.00000000
## 52       1013           1.00000000      0.00000000 0.6000000   0.10000000
## 53       1021           0.25000000      0.00000000 0.5000000   0.00000000
## 54       1022           1.00000000      0.00000000 0.5000000   0.00000000
## 55       1042           1.00000000      0.00000000 0.6666667   0.00000000
## 56       1045           0.00000000      1.00000000 0.5000000   0.00000000
## 57       1050           1.00000000      0.00000000 1.0000000   0.00000000
## 58       1059           1.00000000      0.00000000 0.2500000   0.00000000
## 59       1061           0.00000000      0.00000000 0.5714286   0.14285714
## 60       1064           0.00000000      0.00000000 0.5000000   0.00000000
## 61       1065           0.00000000      0.00000000 1.0000000   1.00000000
## 62       1067           1.00000000      0.00000000 0.6666667   0.00000000
## 63       1073           1.00000000      0.00000000 1.0000000   0.00000000
## 64       1080           1.00000000      0.77777778 0.5555556   0.11111111
## 65       1083           1.00000000      0.00000000 0.5000000   0.00000000
## 66       1087           0.00000000      0.00000000 0.5714286   0.00000000
## 67       1100           1.00000000      0.00000000 0.6666667   0.16666667
## 68       1102           1.00000000      0.00000000 0.0000000   0.00000000
## 69       1106           1.00000000      0.00000000 0.6666667   0.16666667
## 70       1118           1.00000000      0.00000000 0.6666667   0.00000000
## 71       1120           1.00000000      0.00000000 0.5000000   0.00000000
## 72       1121           0.00000000      0.00000000 0.0000000   0.00000000
## 73       1130           1.00000000      0.00000000 1.0000000   0.00000000
## 74       1145           1.00000000      0.00000000 1.0000000   0.00000000
## 75       1150           0.83333333      0.00000000 0.6666667   0.16666667
## 76       1158           1.00000000      0.00000000 0.6000000   0.20000000
## 77       1172           0.33333333      0.00000000 0.6666667   0.33333333
## 78       1176           1.00000000      0.00000000 0.5000000   0.00000000
## 79       1177           1.00000000      0.00000000 0.3333333   0.00000000
## 80       1184           1.00000000      0.00000000 0.5000000   0.00000000
## 81       1188           0.00000000      0.00000000 0.5000000   0.00000000
## 82       1189           0.00000000      0.00000000 0.6000000   0.20000000
## 83       1191           0.00000000      0.00000000 0.6000000   0.00000000
## 84       1199           1.00000000      0.00000000 0.3333333   0.00000000
## 85       1200           0.73913043      0.08695652 0.5217391   0.13043478
## 86       1206           1.00000000      0.00000000 0.0000000   0.00000000
## 87       1211           1.00000000      0.00000000 0.5000000   0.00000000
## 88       1215           0.00000000      0.00000000 0.2500000   0.00000000
## 89       1217           1.00000000      0.00000000 0.5000000   0.00000000
## 90       1221           1.00000000      0.00000000 0.5000000   0.00000000
## 91       1234           0.66666667      0.00000000 0.6666667   0.00000000
## 92       1239           1.00000000      0.00000000 1.0000000   0.00000000
## 93       1244           0.50000000      0.00000000 0.7500000   0.00000000
## 94       1245           0.00000000      0.00000000 0.5000000   0.00000000
## 95       1248           1.00000000      1.00000000 0.3333333   0.00000000
## 96       1250           1.00000000      0.00000000 1.0000000   0.00000000
## 97       1251           1.00000000      0.00000000 0.3333333   0.00000000
## 98       1252           1.00000000      0.00000000 0.5000000   0.00000000
## 99       1256           1.00000000      0.00000000 1.0000000   0.00000000
## 100      1261           1.00000000      0.00000000 0.5000000   0.00000000
## 101      1265           1.00000000      0.00000000 0.6666667   0.00000000
## 102      1274           0.85714286      0.00000000 0.5714286   0.00000000
## 103      1276           0.75000000      0.00000000 0.5000000   0.25000000
## 104      1277           1.00000000      0.00000000 0.7142857   0.14285714
## 105      1280           1.00000000      0.00000000 0.0000000   0.00000000
## 106      1281           1.00000000      0.00000000 1.0000000   0.00000000
## 107      1286           1.00000000      0.00000000 0.7500000   0.00000000
## 108      1289           0.54545455      0.00000000 0.5454545   0.00000000
## 109      1291           1.00000000      0.00000000 0.0000000   0.00000000
## 110      1294           1.00000000      0.00000000 0.5000000   0.00000000
## 111      1299           0.00000000      0.00000000 0.6666667   0.16666667
## 112      1300           1.00000000      0.00000000 0.5555556   0.11111111
## 113      1302           1.00000000      0.00000000 0.5714286   0.00000000
## 114      1303           1.00000000      0.00000000 0.6666667   0.16666667
## 115      1307           0.00000000      0.00000000 0.6666667   0.00000000
## 116      1313           1.00000000      0.00000000 1.0000000   0.00000000
## 117      1318           1.00000000      0.00000000 0.8000000   0.20000000
## 118      1319           0.23076923      0.00000000 0.6923077   0.07692308
## 119      1323           1.00000000      0.00000000 1.0000000   0.00000000
## 120      1324           1.00000000      0.00000000 0.6000000   0.00000000
## 121      1334           1.00000000      0.00000000 0.6363636   0.09090909
## 122      1336           1.00000000      0.00000000 0.5000000   0.00000000
## 123      1340           1.00000000      1.00000000 0.8000000   0.20000000
## 124      1341           1.00000000      0.00000000 0.5000000   0.00000000
## 125      1348           1.00000000      0.00000000 0.5000000   0.00000000
## 126      1349           0.00000000      0.00000000 0.5000000   0.00000000
## 127      1350           0.00000000      0.00000000 0.6666667   0.16666667
## 128      1351           1.00000000      0.00000000 0.6666667   0.00000000
## 129      1359           0.66666667      0.00000000 0.6666667   0.11111111
## 130      1360           0.00000000      0.00000000 1.0000000   0.00000000
## 131      1361           1.00000000      0.00000000 0.5714286   0.14285714
## 132      1362           0.34375000      0.00000000 0.6250000   0.06250000
## 133      1376           1.00000000      0.00000000 0.5000000   0.00000000
## 134      1377           1.00000000      0.00000000 0.7500000   0.25000000
## 135      1380           1.00000000      0.00000000 0.6666667   0.16666667
## 136      1381           1.00000000      0.00000000 1.0000000   0.00000000
## 137      1391           1.00000000      0.00000000 1.0000000   0.00000000
## 138      1396           0.00000000      0.00000000 1.0000000   0.00000000
## 139      1399           0.81818182      0.00000000 0.6363636   0.18181818
## 140      1400           0.00000000      0.00000000 0.6666667   0.16666667
## 141      1402           1.00000000      0.00000000 0.0000000   0.00000000
## 142      1404           0.07692308      0.00000000 0.6153846   0.07692308
## 143      1410           0.66666667      0.00000000 0.6666667   0.11111111
## 144      1413           0.00000000      0.00000000 0.6666667   0.00000000
## 145      1416           1.00000000      0.00000000 1.0000000   0.00000000
## 146      1418           1.00000000      0.00000000 0.2500000   0.00000000
## 147      1419           0.00000000      0.00000000 0.5000000   0.00000000
## 148      1422           1.00000000      0.00000000 0.7500000   0.00000000
## 149      1429           1.00000000      1.00000000 0.6000000   0.00000000
## 150      1430           0.00000000      1.00000000 1.0000000   0.00000000
## 151      1432           0.00000000      0.00000000 0.6666667   0.00000000
## 152      1434           1.00000000      0.00000000 1.0000000   0.00000000
## 153      1438           0.00000000      0.00000000 0.5000000   0.25000000
## 154      1440           1.00000000      0.00000000 0.2500000   0.00000000
## 155      1447           0.07692308      0.00000000 0.6153846   0.07692308
## 156      1448           0.50000000      0.00000000 0.5000000   0.00000000
## 157      1450           1.00000000      0.00000000 1.0000000   0.00000000
## 158      1459           1.00000000      0.00000000 1.0000000   1.00000000
## 159      1460           0.00000000      1.00000000 1.0000000   0.00000000
## 160      1461           0.00000000      0.00000000 1.0000000   0.00000000
## 161      1463           1.00000000      0.00000000 0.3333333   0.00000000
## 162      1468           0.44444444      0.00000000 0.4444444   0.22222222
## 163      1474           1.00000000      0.00000000 1.0000000   1.00000000
## 164      1476           0.00000000      0.00000000 0.6250000   0.25000000
## 165      1477           1.00000000      0.00000000 0.6666667   0.00000000
## 166      1482           1.00000000      0.00000000 1.0000000   0.00000000
## 167      1485           1.00000000      0.00000000 0.5714286   0.14285714
## 168      1489           0.83333333      0.00000000 0.6666667   0.33333333
## 169      1490           0.89285714      0.17857143 0.6071429   0.10714286
## 170      1491           1.00000000      0.00000000 0.8000000   0.00000000
## 171      1492           1.00000000      0.00000000 1.0000000   0.00000000
## 172      1493           0.00000000      0.00000000 0.6666667   0.16666667
## 173      1495           0.00000000      0.00000000 0.5000000   0.16666667
## 174      1498           1.00000000      0.00000000 0.7500000   0.25000000
## 175      1499           0.60000000      0.00000000 0.6000000   0.00000000
## 176      1500           0.93750000      0.03125000 0.6250000   0.09375000
## 177      1501           1.00000000      0.00000000 0.8571429   0.14285714
## 178      1507           1.00000000      0.00000000 1.0000000   0.00000000
## 179      1511           1.00000000      0.00000000 0.3333333   0.00000000
## 180      1513           1.00000000      1.00000000 0.5000000   0.00000000
## 181      1519           0.00000000      0.00000000 0.6666667   0.33333333
## 182      1520           1.00000000      0.00000000 0.3333333   0.00000000
## 183      1525           0.50000000      0.00000000 0.5000000   0.00000000
## 184      1529           1.00000000      0.00000000 0.7142857   0.14285714
## 185      1530           1.00000000      0.00000000 0.3333333   0.00000000
## 186      1532           0.29032258      0.00000000 0.6451613   0.09677419
## 187      1534           0.00000000      0.00000000 1.0000000   0.00000000
## 188      1535           1.00000000      0.00000000 1.0000000   0.00000000
## 189      1539           1.00000000      0.00000000 0.6666667   0.16666667
## 190      1543           0.00000000      0.00000000 1.0000000   0.00000000
## 191      1547           0.00000000      1.00000000 0.0000000   0.00000000
## 192      1549           1.00000000      0.00000000 1.0000000   0.00000000
## 193      1550           1.00000000      0.00000000 0.6666667   0.00000000
## 194      1551           1.00000000      0.00000000 0.0000000   0.00000000
## 195      1552           0.00000000      0.00000000 1.0000000   0.50000000
## 196      1558           1.00000000      0.00000000 1.0000000   0.00000000
## 197      1559           0.00000000      0.00000000 1.0000000   0.00000000
## 198      1560           1.00000000      0.00000000 1.0000000   0.00000000
## 199      1568           0.25000000      0.00000000 0.5000000   0.00000000
## 200      1571           1.00000000      0.00000000 0.2500000   0.00000000
## 201      1575           0.63333333      0.00000000 0.6333333   0.13333333
## 202      1579           0.50000000      0.00000000 0.7000000   0.10000000
## 203      1581           1.00000000      0.00000000 0.5000000   0.16666667
## 204      1582           0.00000000      0.00000000 0.5000000   0.00000000
## 205      1588           1.00000000      0.00000000 0.6153846   0.15384615
## 206      1589           1.00000000      0.00000000 1.0000000   0.00000000
## 207      1596           0.00000000      1.00000000 0.5000000   0.00000000
## 208      1599           0.16666667      0.00000000 0.6666667   0.08333333
## 209      1600           0.53125000      0.00000000 0.5937500   0.06250000
## 210      1601           1.00000000      0.00000000 0.5555556   0.11111111
## 211      1605           1.00000000      0.00000000 0.0000000   0.00000000
## 212      1610           0.00000000      0.00000000 0.5714286   0.00000000
## 213      1611           0.66666667      0.00000000 0.6666667   0.66666667
## 214      1614           1.00000000      0.00000000 0.5000000   0.50000000
## 215      1615           0.00000000      0.00000000 0.0000000   0.00000000
## 216      1617           0.48484848      0.00000000 0.6969697   0.15151515
## 217      1619           0.50000000      0.00000000 0.6666667   0.16666667
## 218      1620           1.00000000      0.00000000 0.5000000   0.00000000
## 219      1625           1.00000000      0.00000000 0.8000000   0.20000000
## 220      1627           0.00000000      0.00000000 1.0000000   0.00000000
## 221      1628           1.00000000      0.00000000 0.5000000   0.00000000
## 222      1630           0.00000000      0.00000000 0.5000000   0.00000000
## 223      1634           1.00000000      0.00000000 1.0000000   0.33333333
## 224      1640           0.00000000      0.00000000 0.6666667   0.00000000
## 225      1641           1.00000000      0.00000000 0.6666667   0.16666667
## 226      1642           1.00000000      0.00000000 0.6000000   0.00000000
## 227      1645           0.00000000      0.00000000 0.6666667   0.16666667
## 228      1647           1.00000000      0.00000000 1.0000000   0.50000000
## 229      1649           0.66666667      0.00000000 0.6666667   0.33333333
## 230      1650           1.00000000      0.00000000 0.6363636   0.09090909
## 231      1651           1.00000000      1.00000000 1.0000000   0.00000000
## 232      1653           1.00000000      0.00000000 1.0000000   0.00000000
## 233      1654           0.00000000      1.00000000 1.0000000   0.00000000
## 234      1656           1.00000000      0.00000000 0.5000000   0.00000000
## 235      1657           1.00000000      0.00000000 0.6000000   0.20000000
## 236      1660           0.32500000      0.00000000 0.6250000   0.05000000
## 237      1665           1.00000000      0.00000000 0.5000000   0.00000000
## 238      1666           0.00000000      0.00000000 0.6000000   0.20000000
## 239      1667           1.00000000      0.00000000 1.0000000   0.00000000
## 240      1672           1.00000000      0.00000000 0.5000000   0.00000000
## 241      1675           1.00000000      0.00000000 0.5000000   0.00000000
## 242      1678           1.00000000      0.00000000 0.6000000   0.00000000
## 243      1680           1.00000000      0.00000000 0.4000000   0.00000000
## 244      1681           1.00000000      0.00000000 0.6666667   0.33333333
## 245      1686           1.00000000      0.00000000 0.3333333   0.00000000
## 246      1688           1.00000000      1.00000000 1.0000000   0.00000000
## 247      1689           1.00000000      0.00000000 0.6666667   0.00000000
## 248      1699           0.55555556      0.00000000 0.4444444   0.00000000
## 249      1700           0.81818182      0.00000000 0.6666667   0.18181818
## 250      1702           0.62500000      0.06250000 0.6041667   0.10416667
## 251      1703           1.00000000      0.00000000 0.8000000   0.20000000
## 252      1708           1.00000000      1.00000000 1.0000000   0.00000000
## 253      1713           1.00000000      0.00000000 0.6666667   0.00000000
## 254      1715           0.00000000      0.00000000 0.0000000   0.00000000
## 255      1717           0.00000000      0.00000000 0.3333333   0.00000000
## 256      1719           0.00000000      0.36363636 0.6363636   0.18181818
## 257      1720           0.00000000      0.00000000 0.5000000   0.00000000
## 258      1724           1.00000000      0.00000000 0.4000000   0.00000000
## 259      1725           0.00000000      0.00000000 1.0000000   0.00000000
## 260      1728           0.00000000      0.00000000 0.6000000   0.00000000
## 261      1731           1.00000000      0.00000000 1.0000000   0.00000000
## 262      1733           1.00000000      0.00000000 0.6000000   0.00000000
## 263      1737           1.00000000      0.00000000 1.0000000   0.00000000
## 264      1739           1.00000000      0.00000000 0.5000000   0.16666667
## 265      1741           1.00000000      0.00000000 0.5714286   0.00000000
## 266      1745           0.02564103      0.00000000 0.7948718   0.07692308
## 267      1746           0.00000000      0.00000000 0.5714286   0.00000000
## 268      1748           0.00000000      0.00000000 0.3333333   0.33333333
## 269      1749           0.00000000      0.00000000 0.5000000   0.00000000
## 270      1750           0.22222222      0.00000000 0.5555556   0.00000000
## 271      1751           1.00000000      0.00000000 0.5000000   0.00000000
## 272      1752           0.00000000      0.00000000 0.0000000   0.00000000
## 273      1755           0.00000000      0.00000000 1.0000000   1.00000000
## 274      1756           1.00000000      0.00000000 0.5714286   0.14285714
## 275      1759           1.00000000      1.00000000 0.5000000   0.00000000
## 276      1760           1.00000000      0.75000000 0.5000000   0.12500000
## 277      1761           1.00000000      1.00000000 1.0000000   0.00000000
## 278      1764           1.00000000      0.00000000 0.4545455   0.18181818
## 279      1768           0.00000000      0.00000000 1.0000000   0.00000000
## 280      1771           1.00000000      0.00000000 0.6666667   0.00000000
## 281      1775           0.00000000      0.00000000 0.6666667   0.16666667
## 282      1778           1.00000000      0.00000000 0.6000000   0.20000000
## 283      1782           1.00000000      0.00000000 0.5714286   0.14285714
## 284      1785           0.66666667      0.00000000 0.6666667   0.16666667
## 285      1788           0.59259259      0.00000000 0.5925926   0.11111111
## 286      1798           0.83333333      0.00000000 0.5000000   0.00000000
## 287      1799           0.57142857      0.00000000 0.5000000   0.00000000
## 288      1800           0.67500000      0.20000000 0.7500000   0.12500000
## 289      1806           1.00000000      0.00000000 1.0000000   0.00000000
## 290      1809           0.00000000      0.00000000 1.0000000   1.00000000
## 291      1811           1.00000000      0.00000000 0.0000000   0.00000000
## 292      1814           0.00000000      0.00000000 1.0000000   0.00000000
## 293      1815           1.00000000      0.00000000 1.0000000   0.00000000
## 294      1818           1.00000000      0.00000000 0.4285714   0.14285714
## 295      1819           1.00000000      0.00000000 0.0000000   0.00000000
## 296      1824           0.00000000      0.00000000 0.5714286   0.00000000
## 297      1825           0.00000000      1.00000000 1.0000000   1.00000000
## 298      1826           0.40000000      0.00000000 0.6000000   0.00000000
## 299      1828           1.00000000      0.00000000 0.0000000   0.00000000
## 300      1829           1.00000000      0.00000000 1.0000000   0.00000000
## 301      1830           0.26829268      0.00000000 0.6097561   0.04878049
## 302      1833           0.25000000      0.00000000 0.7500000   0.25000000
## 303      1834           0.00000000      1.00000000 0.5000000   0.00000000
## 304      1837           1.00000000      0.00000000 0.0000000   0.00000000
## 305      1839           1.00000000      1.00000000 0.6666667   0.16666667
## 306      1840           0.00000000      0.00000000 0.7500000   0.25000000
## 307      1842           1.00000000      0.00000000 1.0000000   0.00000000
## 308      1847           0.00000000      0.00000000 0.0000000   0.00000000
## 309      1849           0.00000000      0.00000000 0.7500000   0.00000000
## 310      1850           1.00000000      0.00000000 0.8333333   0.33333333
## 311      1851           0.00000000      0.00000000 0.7500000   0.00000000
## 312      1852           1.00000000      0.00000000 0.8000000   0.40000000
## 313      1859           0.00000000      0.00000000 1.0000000   0.00000000
## 314      1862           1.00000000      0.30000000 0.7000000   0.30000000
## 315      1863           0.00000000      0.00000000 0.5714286   0.14285714
## 316      1866           1.00000000      0.00000000 1.0000000   1.00000000
## 317      1868           0.00000000      0.00000000 0.2500000   0.00000000
## 318      1870           1.00000000      1.00000000 1.0000000   0.00000000
## 319      1872           1.00000000      0.00000000 0.0000000   0.00000000
## 320      1873           0.66666667      0.55555556 1.0000000   0.11111111
## 321      1875           1.00000000      0.00000000 0.5000000   0.00000000
## 322      1881           1.00000000      0.00000000 0.7777778   0.22222222
## 323      1884           1.00000000      0.00000000 0.5000000   0.50000000
## 324      1885           0.00000000      0.00000000 0.6666667   0.16666667
## 325      1887           0.00000000      0.00000000 0.6666667   0.16666667
## 326      1889           1.00000000      0.00000000 0.5000000   0.00000000
## 327      1890           1.00000000      0.00000000 0.5000000   0.00000000
## 328      1891           1.00000000      0.00000000 0.8000000   0.20000000
## 329      1893           1.00000000      0.00000000 0.5000000   0.16666667
## 330      1894           1.00000000      0.00000000 0.6666667   0.16666667
## 331      1899           0.70967742      0.45161290 0.4838710   0.09677419
## 332      1900           0.35000000      0.30000000 0.6000000   0.15000000
## 333      1904           1.00000000      0.00000000 0.8000000   0.20000000
## 334      1905           0.00000000      0.00000000 1.0000000   0.14285714
## 335      1912           1.00000000      0.00000000 1.0000000   1.00000000
## 336      1913           1.00000000      0.00000000 0.6666667   0.00000000
## 337      1914           0.00000000      1.00000000 0.0000000   0.00000000
## 338      1915           0.67741935      0.00000000 0.6129032   0.06451613
## 339      1916           0.00000000      0.00000000 0.7500000   0.25000000
## 340      1919           1.00000000      0.00000000 1.0000000   0.00000000
## 341      1920           1.00000000      0.00000000 1.0000000   0.00000000
## 342      1925           1.00000000      0.00000000 1.0000000   0.00000000
## 343      1926           1.00000000      0.00000000 0.3333333   0.00000000
## 344      1928           1.00000000      0.00000000 0.6250000   0.12500000
## 345      1936           1.00000000      0.00000000 1.0000000   0.00000000
## 346      1938           0.00000000      0.00000000 0.5000000   0.50000000
## 347      1940           1.00000000      0.00000000 0.6666667   0.16666667
## 348      1941           1.00000000      0.00000000 0.0000000   0.00000000
## 349      1944           1.00000000      0.00000000 0.0000000   0.00000000
## 350      1947           1.00000000      0.00000000 1.0000000   1.00000000
## 351      1948           0.00000000      0.00000000 1.0000000   0.00000000
## 352      1949           0.66666667      0.00000000 0.6666667   0.33333333
## 353      1950           0.45454545      0.00000000 0.6818182   0.09090909
## 354      1955           0.71428571      0.00000000 0.5714286   0.14285714
## 355      1956           1.00000000      0.00000000 0.3333333   0.00000000
## 356      1958           0.39285714      0.00000000 0.5357143   0.03571429
## 357      1959           0.00000000      0.00000000 0.5000000   0.25000000
## 358      1960           0.57142857      0.00000000 0.5714286   0.14285714
## 359      1961           0.00000000      0.00000000 0.5000000   0.00000000
## 360      1962           1.00000000      0.00000000 1.0000000   0.00000000
## 361      1968           1.00000000      0.00000000 1.0000000   1.00000000
## 362      1971           1.00000000      0.00000000 1.0000000   0.00000000
## 363      1973           0.00000000      0.00000000 1.0000000   0.50000000
## 364      1979           0.57142857      0.00000000 0.5714286   0.21428571
## 365      1980           1.00000000      0.00000000 0.4166667   0.00000000
## 366      1982           1.00000000      0.00000000 0.5000000   0.00000000
## 367      1984           1.00000000      0.00000000 1.0000000   0.00000000
## 368      1985           1.00000000      0.00000000 0.5000000   0.00000000
## 369      1987           0.20000000      0.80000000 0.8000000   0.20000000
## 370      1990           1.00000000      0.00000000 0.6000000   0.00000000
## 371      1996           0.00000000      0.00000000 0.5555556   0.11111111
## 372      1998           1.00000000      0.00000000 0.6666667   0.16666667
## 373      1999           0.60869565      0.17391304 0.8260870   0.17391304
## 374      2000           0.82500000      0.26250000 0.6625000   0.12500000
## 375      2001           0.38888889      0.05555556 0.6111111   0.11111111
## 376      2002           1.00000000      0.00000000 1.0000000   0.00000000
## 377      2004           1.00000000      0.00000000 0.6000000   0.20000000
## 378      2008           1.00000000      0.00000000 1.0000000   0.00000000
## 379      2011           1.00000000      0.00000000 0.6666667   0.33333333
## 380      2015           0.00000000      0.00000000 0.6666667   0.00000000
## 381      2016           1.00000000      0.00000000 0.6666667   0.16666667
## 382      2018           1.00000000      0.00000000 1.0000000   0.00000000
## 383      2019           0.00000000      0.00000000 0.5000000   0.00000000
## 384      2022           1.00000000      0.00000000 0.7142857   0.28571429
## 385      2025           1.00000000      0.00000000 0.6666667   0.16666667
## 386      2027           1.00000000      0.00000000 1.0000000   0.00000000
## 387      2029           1.00000000      0.00000000 0.0000000   0.00000000
## 388      2032           0.00000000      0.00000000 0.5000000   0.50000000
## 389      2033           0.00000000      0.00000000 1.0000000   1.00000000
## 390      2036           0.00000000      0.00000000 0.7500000   0.00000000
## 391      2039           0.66666667      0.33333333 0.6666667   0.33333333
## 392      2043           0.09090909      0.00000000 0.6363636   0.04545455
## 393      2049           0.00000000      0.00000000 0.5000000   0.00000000
## 394      2050           1.00000000      0.00000000 0.6000000   0.20000000
## 395      2051           0.00000000      0.00000000 1.0000000   1.00000000
## 396      2059           1.00000000      0.00000000 1.0000000   0.00000000
## 397      2060           1.00000000      0.00000000 0.0000000   0.00000000
## 398      2062           1.00000000      0.00000000 0.0000000   0.00000000
## 399      2065           0.00000000      0.00000000 1.0000000   0.00000000
## 400      2068           0.00000000      0.00000000 0.0000000   0.00000000
## 401      2069           0.50000000      0.00000000 0.7500000   0.25000000
## 402      2070           1.00000000      0.63636364 0.4545455   0.09090909
## 403      2073           1.00000000      0.00000000 1.0000000   0.00000000
## 404      2075           0.16666667      0.00000000 0.6666667   0.50000000
## 405      2076           0.75000000      0.00000000 1.0000000   0.00000000
## 406      2077           1.00000000      0.00000000 0.5000000   0.00000000
## 407      2079           0.00000000      0.00000000 0.6666667   0.16666667
## 408      2080           1.00000000      0.00000000 1.0000000   0.33333333
## 409      2081           1.00000000      0.00000000 1.0000000   0.00000000
## 410      2082           0.75000000      0.00000000 0.7500000   0.25000000
## 411      2083           0.28571429      0.14285714 0.7142857   0.00000000
## 412      2084           1.00000000      0.00000000 1.0000000   0.33333333
## 413      2086           0.54838710      0.00000000 0.6774194   0.06451613
## 414      2087           0.00000000      1.00000000 0.5000000   0.00000000
## 415      2092           1.00000000      0.00000000 0.5000000   0.00000000
## 416      2093           1.00000000      0.00000000 0.3333333   0.00000000
## 417      2097           1.00000000      0.00000000 0.5000000   0.00000000
## 418      2099           1.00000000      0.00000000 0.7500000   0.25000000
## 419      2100           0.57894737      0.00000000 0.6842105   0.15789474
## 420      2101           1.00000000      0.00000000 0.5000000   0.00000000
## 421      2104           1.00000000      0.00000000 1.0000000   0.00000000
## 422      2106           0.40000000      0.00000000 0.8000000   0.00000000
## 423      2110           1.00000000      0.00000000 0.5714286   0.14285714
## 424      2111           1.00000000      0.00000000 0.7500000   0.25000000
## 425      2124           0.37500000      0.00000000 0.3750000   0.00000000
## 426      2125           1.00000000      0.00000000 0.5000000   0.00000000
## 427      2126           1.00000000      0.00000000 1.0000000   0.33333333
## 428      2127           0.00000000      0.00000000 0.5000000   0.00000000
## 429      2128           0.30434783      0.04347826 0.6956522   0.13043478
## 430      2130           0.00000000      0.00000000 0.6666667   0.33333333
## 431      2131           1.00000000      0.00000000 1.0000000   0.00000000
## 432      2137           0.00000000      0.00000000 0.6000000   0.00000000
## 433      2139           1.00000000      0.00000000 1.0000000   0.50000000
## 434      2142           1.00000000      1.00000000 0.5000000   0.16666667
## 435      2148           0.00000000      0.00000000 0.5000000   0.00000000
## 436      2149           0.00000000      0.00000000 0.7500000   0.25000000
## 437      2150           1.00000000      0.66666667 0.6666667   0.06666667
## 438      2153           0.00000000      0.00000000 0.6666667   0.33333333
## 439      2159           0.00000000      0.00000000 0.3333333   0.00000000
## 440      2160           0.46153846      0.00000000 0.6923077   0.23076923
## 441      2161           1.00000000      0.00000000 1.0000000   0.33333333
## 442      2163           0.00000000      0.00000000 0.0000000   0.00000000
## 443      2166           1.00000000      0.00000000 0.5714286   0.00000000
## 444      2167           1.00000000      1.00000000 1.0000000   0.00000000
## 445      2168           0.57142857      0.00000000 0.2857143   0.28571429
## 446      2170           1.00000000      0.00000000 0.3333333   0.00000000
## 447      2171           0.00000000      0.00000000 0.6250000   0.18750000
## 448      2174           0.00000000      0.00000000 1.0000000   0.00000000
## 449      2175           0.00000000      1.00000000 0.3333333   0.33333333
## 450      2179           0.00000000      0.00000000 0.6666667   0.00000000
## 451      2180           1.00000000      0.00000000 0.5000000   0.00000000
## 452      2181           0.00000000      0.00000000 0.6666667   0.33333333
## 453      2183           0.55555556      0.00000000 0.4444444   0.11111111
## 454      2191           0.00000000      0.00000000 0.6666667   0.00000000
## 455      2193           0.80000000      0.00000000 0.4000000   0.20000000
## 456      2198           1.00000000      0.00000000 0.0000000   0.00000000
## 457      2199           0.27586207      0.10344828 0.5862069   0.13793103
## 458      2200           0.71698113      0.03773585 0.6603774   0.13207547
## 459      2201           1.00000000      0.00000000 0.7142857   0.14285714
## 460      2202           1.00000000      1.00000000 0.5000000   0.16666667
## 461      2210           0.00000000      0.00000000 0.6666667   0.33333333
## 462      2213           0.19148936      0.02127660 0.6382979   0.06382979
## 463      2215           0.00000000      0.00000000 1.0000000   1.00000000
## 464      2222           1.00000000      0.00000000 0.6666667   0.00000000
## 465      2223           1.00000000      1.00000000 1.0000000   0.00000000
## 466      2224           1.00000000      0.00000000 0.5000000   0.10000000
## 467      2227           1.00000000      0.00000000 0.5000000   0.00000000
## 468      2235           1.00000000      0.00000000 0.6666667   0.33333333
## 469      2236           1.00000000      0.00000000 0.5000000   0.00000000
## 470      2238           1.00000000      0.00000000 0.5000000   0.00000000
## 471      2240           1.00000000      0.00000000 1.0000000   1.00000000
## 472      2249           0.40000000      0.00000000 0.6000000   0.10000000
## 473      2250           1.00000000      0.15151515 0.5757576   0.12121212
## 474      2252           1.00000000      0.00000000 0.5000000   0.10000000
## 475      2254           0.00000000      0.00000000 0.5000000   0.00000000
## 476      2256           0.22222222      0.00000000 0.6222222   0.06666667
## 477      2261           1.00000000      0.00000000 1.0000000   1.00000000
## 478      2268           1.00000000      0.00000000 1.0000000   0.00000000
## 479      2269           1.00000000      0.00000000 0.6666667   0.00000000
## 480      2275           0.33333333      0.33333333 0.6666667   0.00000000
## 481      2280           1.00000000      0.00000000 0.5714286   0.14285714
## 482      2288           0.50000000      0.00000000 1.0000000   1.00000000
## 483      2289           1.00000000      0.00000000 1.0000000   0.00000000
## 484      2290           1.00000000      0.00000000 0.6666667   0.33333333
## 485      2291           1.00000000      0.00000000 0.0000000   0.00000000
## 486      2293           1.00000000      0.00000000 0.6000000   0.10000000
## 487      2294           1.00000000      0.00000000 0.5000000   0.00000000
## 488      2295           0.00000000      0.00000000 0.5714286   0.14285714
## 489      2299           0.40000000      0.00000000 0.5142857   0.00000000
## 490      2300           1.00000000      0.04545455 0.6818182   0.13636364
## 491      2310           1.00000000      0.00000000 1.0000000   0.00000000
## 492      2313           0.00000000      0.00000000 1.0000000   0.20000000
## 493      2314           0.25000000      0.00000000 0.5000000   0.25000000
## 494      2315           1.00000000      0.00000000 0.7500000   0.25000000
## 495      2316           1.00000000      0.00000000 0.6666667   0.00000000
## 496      2317           1.00000000      0.00000000 0.6666667   0.00000000
## 497      2318           1.00000000      0.00000000 0.4000000   0.00000000
## 498      2319           0.00000000      0.00000000 0.5000000   0.00000000
## 499      2331           1.00000000      0.00000000 0.6666667   0.16666667
## 500      2333           1.00000000      0.66666667 0.3333333   0.33333333
## 501      2337           1.00000000      0.00000000 1.0000000   0.00000000
## 502      2339           1.00000000      0.00000000 1.0000000   0.25000000
## 503      2341           0.20689655      0.00000000 0.6206897   0.13793103
## 504      2345           1.00000000      0.00000000 1.0000000   0.00000000
## 505      2349           1.00000000      0.00000000 0.0000000   0.00000000
## 506      2350           1.00000000      0.00000000 0.5000000   0.16666667
## 507      2352           1.00000000      0.00000000 1.0000000   0.00000000
## 508      2353           1.00000000      0.00000000 1.0000000   0.00000000
## 509      2356           0.00000000      0.00000000 0.3333333   0.00000000
## 510      2358           0.00000000      0.00000000 0.5000000   0.00000000
## 511      2360           1.00000000      1.00000000 0.0000000   0.00000000
## 512      2361           0.00000000      0.00000000 0.6000000   0.00000000
## 513      2364           1.00000000      0.00000000 0.6000000   0.00000000
## 514      2367           1.00000000      0.00000000 0.0000000   0.00000000
## 515      2370           1.00000000      0.00000000 0.3333333   0.00000000
## 516      2375           0.75000000      0.00000000 0.5000000   0.00000000
## 517      2378           1.00000000      0.00000000 0.6666667   0.16666667
## 518      2380           0.20000000      0.20000000 0.6000000   0.20000000
## 519      2383           0.00000000      0.00000000 0.7500000   0.00000000
## 520      2384           0.86206897      0.00000000 0.6206897   0.03448276
## 521      2385           1.00000000      0.00000000 0.0000000   0.00000000
## 522      2390           1.00000000      0.00000000 0.5000000   0.50000000
## 523      2391           1.00000000      0.00000000 1.0000000   1.00000000
## 524      2394           0.80000000      0.00000000 0.8000000   0.60000000
## 525      2395           0.00000000      0.00000000 0.6666667   0.16666667
## 526      2399           0.27777778      0.00000000 0.6666667   0.11111111
## 527      2400           0.86206897      0.13793103 0.6551724   0.17241379
## 528      2401           0.00000000      0.00000000 0.5000000   0.00000000
## 529      2409           1.00000000      0.00000000 0.0000000   0.00000000
## 530      2410           1.00000000      0.00000000 1.0000000   0.20000000
## 531      2412           0.00000000      0.00000000 0.0000000   0.00000000
## 532      2417           0.00000000      0.00000000 0.5000000   0.25000000
## 533      2419           0.00000000      0.00000000 0.5714286   0.14285714
## 534      2425           1.00000000      0.00000000 0.6666667   0.16666667
## 535      2426           0.42500000      0.00000000 0.6000000   0.05000000
## 536      2429           0.00000000      0.00000000 0.5714286   0.14285714
## 537      2430           1.00000000      0.60000000 0.6000000   0.10000000
## 538      2438           1.00000000      0.00000000 1.0000000   0.33333333
## 539      2439           1.00000000      0.00000000 0.6000000   0.20000000
## 540      2447           0.66666667      0.00000000 0.6666667   0.50000000
## 541      2449           1.00000000      0.00000000 0.5000000   0.00000000
## 542      2450           1.00000000      0.75000000 0.5000000   0.12500000
## 543      2452           1.00000000      0.00000000 0.7500000   0.25000000
## 544      2453           1.00000000      0.00000000 1.0000000   0.00000000
## 545      2454           1.00000000      0.00000000 0.0000000   0.00000000
## 546      2456           1.00000000      0.00000000 0.0000000   0.00000000
## 547      2459           0.00000000      0.00000000 0.6666667   0.00000000
## 548      2460           0.20000000      0.00000000 0.6000000   0.00000000
## 549      2463           0.33333333      0.00000000 0.8333333   0.00000000
## 550      2464           0.00000000      0.00000000 0.3333333   0.00000000
## 551      2465           1.00000000      0.00000000 0.5555556   0.11111111
## 552      2467           1.00000000      0.00000000 0.6666667   0.16666667
## 553      2469           0.63333333      0.00000000 0.6333333   0.03333333
## 554      2476           1.00000000      0.00000000 1.0000000   0.00000000
## 555      2477           1.00000000      0.00000000 0.3333333   0.00000000
## 556      2478           1.00000000      0.00000000 0.5000000   0.00000000
## 557      2479           1.00000000      0.00000000 0.5714286   0.00000000
## 558      2480           0.40000000      0.00000000 1.0000000   0.20000000
## 559      2481           1.00000000      0.00000000 0.6666667   0.00000000
## 560      2482           0.12500000      0.00000000 0.6250000   0.12500000
## 561      2484           1.00000000      0.00000000 0.5000000   0.00000000
## 562      2490           1.00000000      0.00000000 0.6250000   0.12500000
## 563      2491           0.00000000      0.00000000 1.0000000   0.00000000
## 564      2493           1.00000000      0.00000000 0.0000000   0.00000000
## 565      2495           0.00000000      0.00000000 0.5000000   0.00000000
## 566      2498           1.00000000      0.00000000 1.0000000   0.00000000
## 567      2499           0.53488372      0.16279070 0.6279070   0.11627907
## 568      2500           0.79775281      0.22471910 0.6067416   0.11235955
## 569      2501           0.33333333      0.00000000 1.0000000   0.33333333
## 570      2502           1.00000000      0.07692308 0.4615385   0.15384615
## 571      2506           1.00000000      0.00000000 0.5000000   0.00000000
## 572      2512           0.65000000      0.00000000 0.5500000   0.15000000
## 573      2517           0.85714286      0.00000000 0.7142857   0.14285714
## 574      2519           0.66666667      1.00000000 0.6666667   0.00000000
## 575      2520           1.00000000      0.25000000 0.8750000   0.00000000
## 576      2521           1.00000000      0.33333333 1.0000000   0.33333333
## 577      2522           1.00000000      0.00000000 0.5000000   0.00000000
## 578      2524           1.00000000      0.00000000 0.5454545   0.00000000
## 579      2527           1.00000000      1.00000000 0.6000000   0.00000000
## 580      2537           1.00000000      0.00000000 0.5000000   0.50000000
## 581      2542           1.00000000      0.00000000 0.6666667   0.33333333
## 582      2545           1.00000000      0.00000000 1.0000000   0.50000000
## 583      2547           1.00000000      0.00000000 0.5000000   0.00000000
## 584      2549           1.00000000      0.00000000 0.5000000   0.00000000
## 585      2550           0.91666667      0.00000000 0.6666667   0.16666667
## 586      2551           0.00000000      0.00000000 0.6666667   0.16666667
## 587      2554           0.73913043      0.04347826 0.5652174   0.17391304
## 588      2560           1.00000000      0.16666667 0.7500000   0.16666667
## 589      2561           1.00000000      0.00000000 0.6666667   0.16666667
## 590      2565           1.00000000      1.00000000 0.6666667   0.00000000
## 591      2569           1.00000000      0.00000000 0.5000000   0.00000000
## 592      2570           1.00000000      0.00000000 0.5000000   0.00000000
## 593      2587           1.00000000      1.00000000 0.6000000   0.00000000
## 594      2589           1.00000000      0.00000000 0.5000000   0.50000000
## 595      2591           1.00000000      0.00000000 0.4000000   0.20000000
## 596      2592           1.00000000      1.00000000 1.0000000   0.00000000
## 597      2594           1.00000000      0.00000000 0.5714286   0.14285714
## 598      2597           0.16666667      0.00000000 0.5000000   0.00000000
## 599      2598           0.00000000      1.00000000 0.5000000   0.00000000
## 600      2599           0.60000000      0.00000000 0.8000000   0.00000000
## 601      2600           0.94871795      0.35897436 0.5897436   0.15384615
## 602      2604           1.00000000      0.00000000 0.5555556   0.11111111
## 603      2607           0.25000000      0.00000000 0.7500000   0.75000000
## 604      2608           1.00000000      0.00000000 1.0000000   0.00000000
## 605      2609           0.80000000      0.00000000 0.4000000   0.00000000
## 606      2614           1.00000000      1.00000000 0.5000000   0.00000000
## 607      2622           1.00000000      0.00000000 0.6666667   0.16666667
## 608      2624           1.00000000      0.00000000 0.6666667   0.33333333
## 609      2625           1.00000000      0.00000000 0.3333333   0.00000000
## 610      2626           1.00000000      0.00000000 0.4000000   0.00000000
## 611      2627           1.00000000      0.00000000 1.0000000   0.00000000
## 612      2632           1.00000000      0.00000000 0.7000000   0.20000000
## 613      2635           0.00000000      0.00000000 1.0000000   0.00000000
## 614      2639           0.81481481      0.03703704 0.6296296   0.07407407
## 615      2640           0.38461538      0.00000000 0.6923077   0.15384615
## 616      2642           1.00000000      0.00000000 0.5000000   0.00000000
## 617      2644           0.00000000      0.00000000 1.0000000   0.25000000
## 618      2647           1.00000000      0.00000000 1.0000000   0.00000000
## 619      2648           1.00000000      0.00000000 0.0000000   0.00000000
## 620      2650           1.00000000      0.00000000 1.0000000   0.33333333
## 621      2652           1.00000000      0.00000000 0.5714286   0.14285714
## 622      2655           1.00000000      0.00000000 0.5000000   0.00000000
## 623      2657           1.00000000      0.00000000 0.5000000   0.00000000
## 624      2660           0.46666667      0.06666667 0.6666667   0.26666667
## 625      2664           0.00000000      0.00000000 0.6666667   0.33333333
## 626      2666           1.00000000      0.00000000 1.0000000   1.00000000
## 627      2668           1.00000000      0.00000000 0.5714286   0.14285714
## 628      2673           1.00000000      1.00000000 0.5000000   0.00000000
## 629      2680           1.00000000      1.00000000 0.5000000   0.00000000
## 630      2682           0.33333333      0.00000000 0.6666667   0.00000000
## 631      2683           0.00000000      0.00000000 0.6666667   0.33333333
## 632      2689           0.50000000      0.50000000 0.5000000   0.00000000
## 633      2692           1.00000000      0.00000000 1.0000000   0.00000000
## 634      2699           0.76470588      0.00000000 0.5294118   0.11764706
## 635      2700           0.59090909      0.09090909 0.7045455   0.15909091
## 636      2702           0.66666667      0.33333333 0.6666667   0.00000000
## 637      2709           1.00000000      0.00000000 1.0000000   0.00000000
## 638      2713           1.00000000      0.00000000 1.0000000   0.00000000
## 639      2714           1.00000000      0.77777778 0.5555556   0.22222222
## 640      2718           0.16666667      0.66666667 0.8333333   0.00000000
## 641      2719           0.75000000      0.33333333 0.5833333   0.08333333
## 642      2720           0.55555556      0.44444444 0.6666667   0.00000000
## 643      2724           0.00000000      0.00000000 0.5555556   0.00000000
## 644      2727           1.00000000      0.00000000 0.5000000   0.00000000
## 645      2736           1.00000000      0.00000000 0.5000000   0.00000000
## 646      2738           1.00000000      0.00000000 1.0000000   0.00000000
## 647      2742           1.00000000      0.00000000 0.5000000   0.00000000
## 648      2744           1.00000000      0.00000000 0.5000000   0.00000000
## 649      2746           1.00000000      0.00000000 0.5000000   0.00000000
## 650      2747           1.00000000      0.00000000 1.0000000   0.50000000
## 651      2750           0.00000000      0.00000000 0.6666667   0.16666667
## 652      2752           1.00000000      0.00000000 0.8000000   0.20000000
## 653      2754           1.00000000      0.00000000 0.0000000   0.00000000
## 654      2758           1.00000000      0.00000000 1.0000000   0.00000000
## 655      2760           1.00000000      0.00000000 1.0000000   0.50000000
## 656      2764           0.00000000      0.00000000 1.0000000   0.00000000
## 657      2767           0.83333333      0.00000000 0.7222222   0.33333333
## 658      2771           0.00000000      0.00000000 0.6000000   0.00000000
## 659      2772           1.00000000      0.00000000 0.6000000   0.20000000
## 660      2779           0.00000000      1.00000000 1.0000000   0.00000000
## 661      2780           0.44444444      0.44444444 0.5555556   0.00000000
## 662      2785           0.00000000      1.00000000 0.5000000   0.00000000
## 663      2792           1.00000000      0.00000000 1.0000000   0.00000000
## 664      2795           0.00000000      0.00000000 0.6666667   0.00000000
## 665      2799           0.21052632      0.36842105 0.7894737   0.21052632
## 666      2800           0.66666667      0.16666667 0.5000000   0.16666667
## 667      2805           0.00000000      0.00000000 0.8571429   0.28571429
## 668      2809           0.00000000      0.00000000 0.5000000   0.00000000
## 669      2810           1.00000000      0.00000000 0.5789474   0.05263158
## 670      2815           1.00000000      0.00000000 0.5714286   0.14285714
## 671      2820           0.50000000      0.00000000 1.0000000   1.00000000
## 672      2824           1.00000000      0.00000000 1.0000000   0.00000000
## 673      2827           1.00000000      0.00000000 1.0000000   0.00000000
## 674      2829           1.00000000      0.00000000 1.0000000   1.00000000
## 675      2830           0.33333333      0.00000000 0.6666667   0.16666667
## 676      2831           0.00000000      1.00000000 1.0000000   0.00000000
## 677      2832           1.00000000      0.00000000 0.5000000   0.00000000
## 678      2837           1.00000000      0.00000000 1.0000000   1.00000000
## 679      2841           0.00000000      0.00000000 1.0000000   0.00000000
## 680      2846           1.00000000      0.46666667 0.6000000   0.13333333
## 681      2848           0.00000000      0.00000000 1.0000000   0.00000000
## 682      2850           0.23076923      0.00000000 0.5384615   0.07692308
## 683      2852           0.63636364      0.36363636 0.6363636   0.00000000
## 684      2855           1.00000000      0.00000000 0.5000000   0.00000000
## 685      2857           0.00000000      1.00000000 0.7500000   0.25000000
## 686      2861           1.00000000      0.00000000 1.0000000   0.50000000
## 687      2863           1.00000000      0.00000000 0.5000000   0.00000000
## 688      2864           0.50000000      0.50000000 1.0000000   0.00000000
## 689      2870           1.00000000      0.00000000 0.5000000   0.00000000
## 690      2873           0.00000000      0.00000000 0.5000000   0.50000000
## 691      2879           0.90909091      0.18181818 0.6363636   0.09090909
## 692      2880           1.00000000      0.00000000 0.6000000   0.20000000
## 693      2888           1.00000000      1.00000000 0.6666667   0.00000000
## 694      2889           1.00000000      0.00000000 1.0000000   1.00000000
## 695      2890           0.18181818      0.00000000 0.6363636   0.09090909
## 696      2895           1.00000000      0.00000000 0.5384615   0.07692308
## 697      2899           0.23529412      0.23529412 0.8823529   0.11764706
## 698      2900           0.65217391      0.00000000 0.6521739   0.10869565
## 699      2901           0.00000000      0.00000000 0.6000000   0.20000000
## 700      2906           1.00000000      0.00000000 1.0000000   0.00000000
## 701      2909           1.00000000      0.00000000 1.0000000   0.00000000
## 702      2911           1.00000000      1.00000000 0.0000000   0.00000000
## 703      2916           1.00000000      0.00000000 0.0000000   0.00000000
## 704      2918           1.00000000      0.00000000 0.6666667   0.33333333
## 705      2919           1.00000000      0.46666667 0.6666667   0.20000000
## 706      2920           1.00000000      0.00000000 0.5000000   0.00000000
## 707      2921           0.00000000      0.00000000 0.6000000   0.20000000
## 708      2925           0.00000000      0.00000000 0.7777778   0.11111111
## 709      2926           0.00000000      0.00000000 1.0000000   1.00000000
## 710      2928           1.00000000      0.00000000 0.7500000   0.25000000
## 711      2937           0.50000000      0.00000000 0.3333333   0.00000000
## 712      2938           1.00000000      1.00000000 0.2500000   0.00000000
## 713      2941           1.00000000      0.00000000 0.7500000   0.00000000
## 714      2943           1.00000000      0.00000000 0.5000000   0.00000000
## 715      2949           1.00000000      1.00000000 0.5000000   0.00000000
## 716      2950           1.00000000      0.00000000 0.3846154   0.07692308
## 717      2951           0.00000000      0.00000000 0.6666667   0.33333333
## 718      2955           1.00000000      0.00000000 1.0000000   0.00000000
## 719      2956           1.00000000      1.00000000 0.7500000   0.00000000
## 720      2960           1.00000000      0.00000000 0.6666667   0.16666667
## 721      2969           1.00000000      0.00000000 0.5000000   0.00000000
## 722      2970           0.22222222      0.00000000 0.5555556   0.00000000
## 723      2971           1.00000000      0.00000000 0.0000000   0.00000000
## 724      2975           0.94117647      0.17647059 0.6470588   0.11764706
## 725      2979           0.00000000      0.00000000 0.5000000   0.00000000
## 726      2980           0.66666667      0.00000000 0.5000000   0.16666667
## 727      2984           1.00000000      0.00000000 0.6666667   0.00000000
## 728      2985           1.00000000      0.00000000 0.5000000   0.50000000
## 729      2991           0.00000000      0.00000000 0.7500000   0.25000000
## 730      2999           0.75000000      0.29166667 0.6250000   0.12500000
## 731      3000           0.66442953      0.17449664 0.6107383   0.14765101
## 732      3002           1.00000000      1.00000000 0.5000000   0.00000000
## 733      3016           1.00000000      1.00000000 0.5000000   0.00000000
## 734      3017           1.00000000      0.70588235 0.6470588   0.17647059
## 735      3018           1.00000000      0.00000000 0.6666667   0.16666667
## 736      3022           0.47619048      0.00000000 0.5714286   0.04761905
## 737      3024           1.00000000      0.00000000 0.5000000   0.00000000
## 738      3032           1.00000000      0.00000000 0.6153846   0.15384615
## 739      3033           0.66666667      0.00000000 0.9166667   0.58333333
## 740      3035           1.00000000      0.00000000 0.0000000   0.00000000
## 741      3037           1.00000000      0.00000000 0.5000000   0.00000000
## 742      3040           0.25000000      0.75000000 0.6250000   0.12500000
## 743      3044           1.00000000      0.00000000 0.0000000   0.00000000
## 744      3049           1.00000000      0.00000000 0.7692308   0.07692308
## 745      3050           1.00000000      0.00000000 0.5714286   0.14285714
## 746      3055           1.00000000      1.00000000 1.0000000   0.00000000
## 747      3059           0.75000000      0.25000000 0.5000000   0.12500000
## 748      3060           0.40000000      0.00000000 0.6000000   0.20000000
## 749      3065           0.54545455      0.00000000 0.6363636   0.09090909
## 750      3068           0.14285714      0.00000000 0.7142857   0.14285714
## 751      3071           1.00000000      0.00000000 0.0000000   0.00000000
## 752      3074           1.00000000      1.00000000 0.5000000   0.00000000
## 753      3083           1.00000000      1.00000000 0.5000000   0.00000000
## 754      3085           1.00000000      0.00000000 0.4666667   0.00000000
## 755      3086           0.66666667      0.00000000 1.0000000   1.00000000
## 756      3099           0.50000000      0.50000000 0.5833333   0.08333333
## 757      3100           0.69230769      0.00000000 0.5384615   0.07692308
## 758      3103           0.12500000      0.00000000 0.6250000   0.12500000
## 759      3106           1.00000000      0.00000000 0.5000000   0.00000000
## 760      3108           0.09375000      0.00000000 0.5937500   0.09375000
## 761      3111           1.00000000      0.00000000 0.6666667   0.66666667
## 762      3112           0.80000000      0.60000000 0.8000000   0.00000000
## 763      3114           1.00000000      0.00000000 1.0000000   0.50000000
## 764      3123           1.00000000      0.00000000 0.0000000   0.00000000
## 765      3125           1.00000000      0.00000000 0.6000000   0.20000000
## 766      3128           0.25000000      0.00000000 0.8750000   0.12500000
## 767      3134           0.00000000      1.00000000 0.5000000   0.00000000
## 768      3139           0.00000000      0.00000000 0.7142857   0.14285714
## 769      3140           1.00000000      0.00000000 0.5000000   0.00000000
## 770      3141           0.00000000      0.00000000 0.0000000   0.00000000
## 771      3142           1.00000000      0.00000000 1.0000000   0.00000000
## 772      3144           1.00000000      0.00000000 0.6666667   0.33333333
## 773      3145           0.00000000      0.00000000 1.0000000   0.00000000
## 774      3149           0.09090909      0.00000000 0.7272727   0.18181818
## 775      3150           0.35000000      0.00000000 0.8000000   0.10000000
## 776      3151           1.00000000      1.00000000 0.7500000   0.25000000
## 777      3158           0.37500000      0.62500000 0.8750000   0.12500000
## 778      3160           0.50000000      0.00000000 1.0000000   0.50000000
## 779      3168           0.00000000      0.00000000 0.5000000   0.00000000
## 780      3177           0.00000000      0.00000000 0.2500000   0.25000000
## 781      3178           0.00000000      0.00000000 0.5000000   0.00000000
## 782      3183           1.00000000      1.00000000 1.0000000   0.00000000
## 783      3184           1.00000000      1.00000000 0.0000000   0.00000000
## 784      3187           0.00000000      0.00000000 1.0000000   0.00000000
## 785      3189           0.00000000      0.00000000 1.0000000   1.00000000
## 786      3192           1.00000000      0.33333333 0.3333333   0.00000000
## 787      3193           0.35714286      0.00000000 0.6428571   0.28571429
## 788      3199           0.42857143      0.33333333 0.7142857   0.04761905
## 789      3200           0.51428571      0.51428571 0.6000000   0.11428571
## 790      3210           0.36363636      0.27272727 0.5454545   0.09090909
## 791      3214           1.00000000      0.00000000 1.0000000   0.33333333
## 792      3216           0.00000000      0.00000000 0.5000000   0.50000000
## 793      3218           1.00000000      0.00000000 0.6666667   0.33333333
## 794      3220           0.00000000      1.00000000 0.7500000   0.00000000
## 795      3225           1.00000000      0.00000000 0.6666667   0.16666667
## 796      3226           0.00000000      0.00000000 0.0000000   0.00000000
## 797      3230           1.00000000      0.00000000 0.6000000   0.00000000
## 798      3235           0.43478261      0.00000000 0.6086957   0.13043478
## 799      3239           1.00000000      0.00000000 0.0000000   0.00000000
## 800      3249           0.87500000      0.00000000 0.3750000   0.12500000
## 801      3250           0.33333333      0.12500000 0.7916667   0.12500000
## 802      3258           1.00000000      0.00000000 0.6666667   0.00000000
## 803      3275           0.60000000      0.40000000 0.4000000   0.20000000
## 804      3278           1.00000000      0.00000000 0.4444444   0.00000000
## 805      3280           0.15384615      0.00000000 0.4615385   0.15384615
## 806      3281           1.00000000      0.00000000 0.6000000   0.20000000
## 807      3289           0.00000000      0.00000000 0.5000000   0.00000000
## 808      3290           0.00000000      1.00000000 0.0000000   0.00000000
## 809      3294           0.00000000      0.00000000 0.5000000   0.00000000
## 810      3298           0.66666667      0.00000000 0.5000000   0.00000000
## 811      3299           0.57692308      0.19230769 0.6153846   0.11538462
## 812      3300           0.51351351      0.43243243 0.5945946   0.08108108
## 813      3314           1.00000000      0.00000000 0.6153846   0.15384615
## 814      3315           0.00000000      1.00000000 0.5000000   0.00000000
## 815      3319           1.00000000      0.00000000 1.0000000   0.00000000
## 816      3321           0.71428571      0.00000000 0.5714286   0.07142857
## 817      3324           0.00000000      0.00000000 0.5000000   0.00000000
## 818      3325           1.00000000      0.00000000 0.4000000   0.00000000
## 819      3326           0.00000000      0.00000000 1.0000000   0.00000000
## 820      3329           1.00000000      1.00000000 0.0000000   0.00000000
## 821      3330           0.00000000      0.00000000 0.5000000   0.00000000
## 822      3335           1.00000000      0.00000000 0.5714286   0.14285714
## 823      3336           1.00000000      1.00000000 0.7142857   0.14285714
## 824      3344           0.00000000      0.00000000 0.6666667   0.16666667
## 825      3349           0.00000000      0.00000000 0.5000000   0.50000000
## 826      3350           1.00000000      0.00000000 1.0000000   0.00000000
## 827      3352           0.00000000      0.00000000 1.0000000   1.00000000
## 828      3354           0.00000000      0.00000000 0.5000000   0.50000000
## 829      3360           1.00000000      0.80000000 0.8000000   0.20000000
## 830      3363           0.54545455      0.00000000 0.5454545   0.00000000
## 831      3374           0.50000000      0.50000000 0.7500000   0.00000000
## 832      3377           1.00000000      0.00000000 0.5000000   0.00000000
## 833      3389           1.00000000      0.00000000 0.7500000   0.00000000
## 834      3399           0.44444444      0.72222222 0.7777778   0.16666667
## 835      3400           0.21428571      0.28571429 0.5714286   0.14285714
## 836      3403           1.00000000      1.00000000 0.0000000   0.00000000
## 837      3404           1.00000000      0.00000000 0.3333333   0.00000000
## 838      3406           0.20000000      0.00000000 0.8000000   0.40000000
## 839      3410           1.00000000      1.00000000 1.0000000   1.00000000
## 840      3412           1.00000000      0.33333333 0.5833333   0.16666667
## 841      3413           0.00000000      1.00000000 1.0000000   0.00000000
## 842      3416           0.00000000      1.00000000 0.6666667   0.16666667
## 843      3417           1.00000000      1.00000000 0.6153846   0.15384615
## 844      3418           1.00000000      1.00000000 1.0000000   0.00000000
## 845      3420           0.71428571      0.28571429 0.4285714   0.00000000
## 846      3425           1.00000000      1.00000000 1.0000000   0.50000000
## 847      3427           1.00000000      0.00000000 0.5000000   0.33333333
## 848      3439           1.00000000      1.00000000 1.0000000   0.00000000
## 849      3440           0.00000000      0.00000000 1.0000000   0.00000000
## 850      3441           0.00000000      0.00000000 1.0000000   0.00000000
## 851      3448           0.77777778      0.00000000 0.6666667   0.11111111
## 852      3450           1.00000000      0.00000000 1.0000000   0.00000000
## 853      3455           1.00000000      0.00000000 0.7500000   0.25000000
## 854      3458           1.00000000      1.00000000 0.6666667   0.00000000
## 855      3459           1.00000000      0.00000000 1.0000000   1.00000000
## 856      3465           1.00000000      0.00000000 0.5714286   0.14285714
## 857      3467           1.00000000      0.00000000 0.0000000   0.00000000
## 858      3473           1.00000000      0.00000000 0.6000000   0.20000000
## 859      3480           1.00000000      0.00000000 0.0000000   0.00000000
## 860      3485           0.00000000      0.00000000 0.0000000   0.00000000
## 861      3490           0.00000000      0.00000000 0.8000000   0.20000000
## 862      3491           0.00000000      0.57142857 0.5714286   0.00000000
## 863      3497           1.00000000      1.00000000 0.5000000   0.00000000
## 864      3499           0.57894737      0.34210526 0.5000000   0.13157895
## 865      3500           0.80701754      0.34210526 0.6578947   0.11403509
## 866      3509           1.00000000      0.00000000 1.0000000   0.50000000
## 867      3510           0.53846154      0.38461538 0.7692308   0.15384615
## 868      3511           0.80000000      0.20000000 0.7000000   0.10000000
## 869      3512           1.00000000      0.00000000 1.0000000   1.00000000
## 870      3519           1.00000000      0.40000000 0.4000000   0.00000000
## 871      3520           0.50000000      0.00000000 0.5000000   0.00000000
## 872      3522           1.00000000      0.00000000 0.0000000   0.00000000
## 873      3526           0.00000000      0.00000000 0.0000000   0.00000000
## 874      3527           1.00000000      0.00000000 1.0000000   0.00000000
## 875      3529           1.00000000      0.00000000 0.5384615   0.11538462
## 876      3530           1.00000000      0.00000000 0.8000000   0.20000000
## 877      3533           1.00000000      0.00000000 0.5000000   0.00000000
## 878      3536           1.00000000      1.00000000 0.5000000   0.00000000
## 879      3544           1.00000000      1.00000000 0.6666667   0.33333333
## 880      3550           1.00000000      0.00000000 0.0000000   0.00000000
## 881      3555           1.00000000      0.00000000 1.0000000   0.00000000
## 882      3558           1.00000000      0.00000000 1.0000000   0.00000000
## 883      3559           0.00000000      1.00000000 0.0000000   0.00000000
## 884      3560           0.60000000      0.40000000 0.6000000   0.00000000
## 885      3565           0.50000000      0.50000000 1.0000000   1.00000000
## 886      3570           1.00000000      0.62500000 0.7500000   0.12500000
## 887      3571           1.00000000      0.00000000 1.0000000   0.50000000
## 888      3575           0.27272727      0.72727273 0.5454545   0.09090909
## 889      3582           1.00000000      1.00000000 1.0000000   0.33333333
## 890      3583           1.00000000      0.00000000 0.6000000   0.20000000
## 891      3588           1.00000000      0.00000000 0.5000000   0.50000000
## 892      3597           1.00000000      1.00000000 0.2500000   0.00000000
## 893      3599           0.50000000      0.57142857 0.5000000   0.07142857
## 894      3600           0.34146341      0.12195122 0.5365854   0.07317073
## 895      3612           0.00000000      1.00000000 0.0000000   0.00000000
## 896      3613           1.00000000      0.00000000 1.0000000   1.00000000
## 897      3617           0.50000000      0.00000000 0.6111111   0.11111111
## 898      3618           1.00000000      0.00000000 1.0000000   1.00000000
## 899      3619           0.33333333      0.00000000 0.3333333   0.00000000
## 900      3620           1.00000000      0.00000000 0.7500000   0.25000000
## 901      3627           0.00000000      0.00000000 0.5000000   0.25000000
## 902      3628           1.00000000      0.00000000 0.6666667   0.00000000
## 903      3636           1.00000000      0.60000000 0.4000000   0.00000000
## 904      3637           1.00000000      0.00000000 1.0000000   0.00000000
## 905      3640           1.00000000      1.00000000 0.5000000   0.00000000
## 906      3647           1.00000000      0.00000000 0.5000000   0.00000000
## 907      3648           0.00000000      0.00000000 1.0000000   1.00000000
## 908      3654           1.00000000      0.14285714 0.5714286   0.00000000
## 909      3655           0.00000000      1.00000000 0.6666667   0.33333333
## 910      3658           1.00000000      1.00000000 0.6666667   0.00000000
## 911      3661           0.70588235      0.00000000 0.6470588   0.11764706
## 912      3665           1.00000000      1.00000000 1.0000000   0.00000000
## 913      3666           1.00000000      0.50000000 0.6666667   0.00000000
## 914      3667           1.00000000      1.00000000 0.5000000   0.50000000
## 915      3668           1.00000000      0.00000000 0.0000000   0.00000000
## 916      3669           1.00000000      0.00000000 0.6666667   0.33333333
## 917      3672           0.00000000      0.00000000 1.0000000   0.33333333
## 918      3674           1.00000000      0.00000000 1.0000000   0.00000000
## 919      3676           1.00000000      1.00000000 1.0000000   0.00000000
## 920      3678           0.00000000      1.00000000 0.5000000   0.00000000
## 921      3689           0.00000000      1.00000000 1.0000000   0.00000000
## 922      3690           0.00000000      1.00000000 0.4285714   0.00000000
## 923      3691           1.00000000      1.00000000 1.0000000   0.00000000
## 924      3693           0.00000000      0.00000000 0.6666667   0.16666667
## 925      3697           1.00000000      0.00000000 0.7500000   0.25000000
## 926      3699           0.57142857      0.42857143 0.5714286   0.07142857
## 927      3700           0.64285714      0.07142857 0.6428571   0.07142857
## 928      3704           1.00000000      0.00000000 0.0000000   0.00000000
## 929      3713           1.00000000      0.00000000 0.0000000   0.00000000
## 930      3714           1.00000000      0.00000000 1.0000000   0.00000000
## 931      3721           0.00000000      0.00000000 1.0000000   0.00000000
## 932      3723           0.00000000      0.00000000 1.0000000   0.00000000
## 933      3724           0.58333333      0.00000000 0.5833333   0.08333333
## 934      3725           0.33333333      0.16666667 0.8333333   0.33333333
## 935      3729           0.50000000      1.00000000 0.6666667   0.16666667
## 936      3735           1.00000000      0.00000000 0.0000000   0.00000000
## 937      3736           1.00000000      0.00000000 1.0000000   1.00000000
## 938      3740           0.00000000      1.00000000 1.0000000   0.25000000
## 939      3749           0.20000000      1.00000000 0.8000000   0.20000000
## 940      3750           0.41666667      0.91666667 0.8333333   0.25000000
## 941      3751           1.00000000      0.00000000 0.0000000   0.00000000
## 942      3753           1.00000000      0.14285714 0.5714286   0.14285714
## 943      3759           1.00000000      1.00000000 0.6000000   0.20000000
## 944      3760           0.00000000      0.00000000 0.5000000   0.00000000
## 945      3769           1.00000000      1.00000000 0.0000000   0.00000000
## 946      3770           1.00000000      0.00000000 0.6666667   0.16666667
## 947      3772           1.00000000      1.00000000 0.0000000   0.00000000
## 948      3775           0.00000000      1.00000000 0.5000000   0.00000000
## 949      3778           0.00000000      0.00000000 1.0000000   1.00000000
## 950      3780           0.00000000      0.00000000 0.7500000   0.25000000
## 951      3782           1.00000000      1.00000000 0.8000000   0.20000000
## 952      3785           0.00000000      1.00000000 1.0000000   0.00000000
## 953      3789           1.00000000      0.00000000 0.5000000   0.00000000
## 954      3790           0.50000000      0.50000000 0.5000000   0.00000000
## 955      3799           0.71428571      0.57142857 0.4285714   0.00000000
## 956      3800           0.60526316      0.28947368 0.6052632   0.13157895
## 957      3801           0.00000000      0.00000000 0.7142857   0.14285714
## 958      3817           1.00000000      1.00000000 1.0000000   0.00000000
## 959      3818           1.00000000      0.00000000 0.0000000   0.00000000
## 960      3819           1.00000000      0.00000000 0.6000000   0.20000000
## 961      3820           0.00000000      0.00000000 0.6666667   0.33333333
## 962      3823           1.00000000      0.00000000 0.6000000   0.20000000
## 963      3824           1.00000000      0.16666667 0.6666667   0.16666667
## 964      3825           0.68181818      0.50000000 0.6363636   0.18181818
## 965      3830           0.25000000      0.00000000 0.7500000   0.25000000
## 966      3831           0.50000000      0.00000000 1.0000000   0.50000000
## 967      3832           1.00000000      0.15384615 0.6923077   0.00000000
## 968      3840           0.00000000      1.00000000 1.0000000   0.00000000
## 969      3842           1.00000000      0.00000000 0.5000000   0.00000000
## 970      3850           0.57142857      0.00000000 0.7142857   0.28571429
## 971      3852           1.00000000      1.00000000 1.0000000   0.00000000
## 972      3859           0.00000000      0.83333333 0.8333333   0.16666667
## 973      3870           0.63636364      0.36363636 0.6363636   0.00000000
## 974      3871           1.00000000      0.00000000 1.0000000   0.50000000
## 975      3872           1.00000000      0.00000000 0.5000000   0.00000000
## 976      3874           1.00000000      0.00000000 0.0000000   0.00000000
## 977      3881           1.00000000      0.00000000 0.5000000   0.00000000
## 978      3882           1.00000000      0.00000000 0.6000000   0.20000000
## 979      3885           0.00000000      0.00000000 1.0000000   1.00000000
## 980      3899           0.20000000      0.40000000 0.8000000   0.40000000
## 981      3900           0.34285714      0.14285714 0.6000000   0.14285714
## 982      3901           1.00000000      1.00000000 0.0000000   0.00000000
## 983      3906           1.00000000      0.00000000 1.0000000   1.00000000
## 984      3909           0.00000000      1.00000000 0.5000000   0.00000000
## 985      3911           1.00000000      0.00000000 0.0000000   0.00000000
## 986      3917           0.54545455      0.45454545 0.5454545   0.09090909
## 987      3919           1.00000000      1.00000000 0.5714286   0.14285714
## 988      3920           0.00000000      0.00000000 0.6666667   0.16666667
## 989      3925           1.00000000      0.00000000 1.0000000   0.00000000
## 990      3927           1.00000000      0.00000000 0.5000000   0.00000000
## 991      3928           1.00000000      0.00000000 0.6666667   0.33333333
## 992      3933           1.00000000      0.00000000 0.6666667   0.00000000
## 993      3934           1.00000000      1.00000000 0.5000000   0.00000000
## 994      3937           0.75000000      0.00000000 0.5000000   0.00000000
## 995      3944           1.00000000      0.00000000 1.0000000   1.00000000
## 996      3950           0.00000000      1.00000000 1.0000000   0.33333333
## 997      3959           1.00000000      0.11111111 0.6666667   0.11111111
## 998      3960           0.72222222      0.22222222 0.4444444   0.00000000
## 999      3965           0.00000000      1.00000000 0.5000000   0.25000000
## 1000     3982           1.00000000      0.00000000 0.7500000   0.25000000
## 1001     3983           1.00000000      0.00000000 0.6000000   0.00000000
## 1002     3986           1.00000000      1.00000000 0.6666667   0.00000000
## 1003     3989           0.00000000      0.00000000 0.0000000   0.00000000
## 1004     3991           1.00000000      0.00000000 1.0000000   0.50000000
## 1005     3994           0.00000000      0.00000000 0.0000000   0.00000000
## 1006     3995           0.00000000      0.00000000 0.0000000   0.00000000
## 1007     3999           0.52500000      0.15000000 0.7250000   0.12500000
## 1008     4000           0.62121212      0.53030303 0.5454545   0.06818182
## 1009     4020           0.00000000      0.00000000 0.5000000   0.00000000
## 1010     4024           1.00000000      0.00000000 1.0000000   0.14285714
## 1011     4025           0.50000000      0.50000000 0.7500000   0.00000000
## 1012     4038           1.00000000      0.00000000 0.5000000   0.00000000
## 1013     4043           0.42857143      0.00000000 0.5714286   0.00000000
## 1014     4044           0.80000000      0.00000000 0.8000000   0.40000000
## 1015     4049           0.66666667      0.16666667 0.5000000   0.16666667
## 1016     4050           0.86956522      0.52173913 0.6086957   0.04347826
## 1017     4055           1.00000000      0.50000000 0.5000000   0.00000000
## 1018     4059           0.00000000      0.00000000 0.6666667   0.33333333
## 1019     4060           0.50000000      0.00000000 0.5000000   0.00000000
## 1020     4079           1.00000000      1.00000000 1.0000000   0.00000000
## 1021     4080           0.74074074      0.25925926 0.5925926   0.11111111
## 1022     4083           1.00000000      0.00000000 0.0000000   0.00000000
## 1023     4087           1.00000000      0.00000000 1.0000000   0.33333333
## 1024     4088           0.00000000      0.00000000 0.5555556   0.00000000
## 1025     4091           1.00000000      0.00000000 0.6666667   0.16666667
## 1026     4093           0.00000000      1.00000000 1.0000000   0.00000000
## 1027     4097           1.00000000      0.00000000 0.7142857   0.28571429
## 1028     4099           0.14285714      0.92857143 0.4285714   0.07142857
## 1029     4100           0.42105263      0.15789474 0.4736842   0.05263158
## 1030     4107           0.00000000      0.00000000 0.6000000   0.00000000
## 1031     4108           0.00000000      0.00000000 0.6666667   0.33333333
## 1032     4113           1.00000000      0.00000000 0.5000000   0.00000000
## 1033     4116           1.00000000      0.00000000 0.0000000   0.00000000
## 1034     4118           1.00000000      0.00000000 0.6666667   0.00000000
## 1035     4125           1.00000000      0.50000000 0.5000000   0.00000000
## 1036     4128           0.00000000      0.00000000 1.0000000   0.00000000
## 1037     4134           0.40000000      0.60000000 0.4000000   0.00000000
## 1038     4135           1.00000000      0.00000000 1.0000000   0.00000000
## 1039     4139           1.00000000      1.00000000 1.0000000   0.00000000
## 1040     4150           0.44000000      0.00000000 0.5600000   0.12000000
## 1041     4151           1.00000000      0.00000000 0.5000000   0.25000000
## 1042     4152           1.00000000      1.00000000 0.0000000   0.00000000
## 1043     4167           1.00000000      0.00000000 1.0000000   0.00000000
## 1044     4172           1.00000000      0.00000000 0.8750000   0.25000000
## 1045     4179           0.00000000      1.00000000 0.0000000   0.00000000
## 1046     4180           1.00000000      0.16666667 0.5000000   0.16666667
## 1047     4185           0.00000000      1.00000000 0.0000000   0.00000000
## 1048     4188           1.00000000      0.66666667 1.0000000   0.00000000
## 1049     4195           1.00000000      1.00000000 1.0000000   0.00000000
## 1050     4196           1.00000000      1.00000000 0.7500000   0.25000000
## 1051     4199           0.55555556      0.77777778 0.7777778   0.11111111
## 1052     4200           0.76666667      0.50000000 0.7000000   0.10000000
## 1053     4202           1.00000000      0.00000000 0.0000000   0.00000000
## 1054     4204           0.50000000      0.00000000 1.0000000   1.00000000
## 1055     4205           1.00000000      1.00000000 0.6000000   0.20000000
## 1056     4215           0.00000000      1.00000000 1.0000000   0.00000000
## 1057     4223           1.00000000      0.00000000 0.5714286   0.00000000
## 1058     4225           1.00000000      0.16666667 0.6666667   0.16666667
## 1059     4230           0.00000000      1.00000000 1.0000000   0.00000000
## 1060     4235           1.00000000      0.00000000 1.0000000   0.00000000
## 1061     4237           1.00000000      0.00000000 0.0000000   0.00000000
## 1062     4239           0.00000000      0.00000000 0.7500000   0.00000000
## 1063     4240           1.00000000      0.66666667 0.5000000   0.00000000
## 1064     4243           1.00000000      0.00000000 0.0000000   0.00000000
## 1065     4249           0.66666667      0.53333333 0.5333333   0.13333333
## 1066     4250           0.75925926      0.77777778 0.6481481   0.09259259
## 1067     4256           1.00000000      0.00000000 0.5555556   0.00000000
## 1068     4257           1.00000000      0.00000000 0.6666667   0.00000000
## 1069     4258           1.00000000      0.63636364 0.6363636   0.18181818
## 1070     4270           0.00000000      1.00000000 0.7500000   0.00000000
## 1071     4271           1.00000000      0.00000000 0.5000000   0.50000000
## 1072     4273           0.33333333      0.00000000 0.6666667   0.00000000
## 1073     4280           0.00000000      1.00000000 0.7500000   0.00000000
## 1074     4285           1.00000000      0.12500000 0.5000000   0.25000000
## 1075     4286           1.00000000      1.00000000 0.0000000   0.00000000
## 1076     4292           1.00000000      0.00000000 0.0000000   0.00000000
## 1077     4299           0.48000000      0.32000000 0.6400000   0.04000000
## 1078     4300           0.81081081      0.02702703 0.5945946   0.08108108
## 1079     4301           0.00000000      0.00000000 0.7500000   0.25000000
## 1080     4305           0.00000000      0.00000000 1.0000000   0.00000000
## 1081     4310           1.00000000      0.00000000 1.0000000   0.50000000
## 1082     4319           1.00000000      0.50000000 0.7500000   0.00000000
## 1083     4320           0.50000000      0.50000000 0.5000000   0.00000000
## 1084     4325           0.00000000      1.00000000 0.6666667   0.16666667
## 1085     4330           1.00000000      0.50000000 0.0000000   0.00000000
## 1086     4334           1.00000000      0.00000000 0.7500000   0.25000000
## 1087     4335           1.00000000      1.00000000 0.5000000   0.00000000
## 1088     4343           0.00000000      0.00000000 0.7500000   0.25000000
## 1089     4349           1.00000000      0.00000000 0.7500000   0.00000000
## 1090     4350           0.66666667      0.66666667 0.5000000   0.00000000
## 1091     4354           1.00000000      1.00000000 0.5000000   0.00000000
## 1092     4357           0.00000000      1.00000000 1.0000000   0.00000000
## 1093     4359           1.00000000      0.25000000 0.5000000   0.00000000
## 1094     4360           1.00000000      1.00000000 0.7500000   0.25000000
## 1095     4363           0.77777778      0.00000000 0.5555556   0.00000000
## 1096     4364           0.00000000      0.50000000 1.0000000   1.00000000
## 1097     4373           1.00000000      0.00000000 1.0000000   0.00000000
## 1098     4375           0.00000000      0.00000000 1.0000000   1.00000000
## 1099     4399           0.50000000      0.83333333 0.6666667   0.16666667
## 1100     4400           0.70967742      0.38709677 0.6774194   0.12903226
## 1101     4409           1.00000000      0.66666667 1.0000000   0.00000000
## 1102     4410           0.25000000      0.50000000 0.7500000   0.00000000
## 1103     4412           1.00000000      0.00000000 1.0000000   0.00000000
## 1104     4415           1.00000000      1.00000000 0.5000000   0.00000000
## 1105     4420           1.00000000      0.00000000 1.0000000   0.00000000
## 1106     4429           1.00000000      1.00000000 0.6000000   0.20000000
## 1107     4430           0.00000000      0.00000000 0.5000000   0.00000000
## 1108     4435           1.00000000      0.00000000 0.6666667   0.16666667
## 1109     4436           1.00000000      0.00000000 0.5000000   0.00000000
## 1110     4440           1.00000000      0.00000000 0.5000000   0.00000000
## 1111     4441           1.00000000      0.00000000 1.0000000   0.00000000
## 1112     4444           1.00000000      0.50000000 1.0000000   0.00000000
## 1113     4446           1.00000000      1.00000000 0.5714286   0.14285714
## 1114     4449           1.00000000      0.00000000 0.3333333   0.00000000
## 1115     4450           0.83333333      0.00000000 0.6666667   0.16666667
## 1116     4458           1.00000000      0.66666667 1.0000000   0.00000000
## 1117     4462           1.00000000      0.00000000 0.3333333   0.00000000
## 1118     4463           0.00000000      1.00000000 1.0000000   0.50000000
## 1119     4465           0.00000000      0.00000000 0.6666667   0.16666667
## 1120     4467           0.00000000      0.00000000 0.6666667   0.00000000
## 1121     4469           0.00000000      0.00000000 0.6666667   0.33333333
## 1122     4470           1.00000000      0.00000000 0.5000000   0.25000000
## 1123     4471           1.00000000      0.00000000 1.0000000   0.00000000
## 1124     4472           1.00000000      0.00000000 0.0000000   0.00000000
## 1125     4477           1.00000000      1.00000000 0.5000000   0.00000000
## 1126     4480           1.00000000      0.80000000 0.6000000   0.00000000
## 1127     4483           1.00000000      0.00000000 0.5000000   0.00000000
## 1128     4490           1.00000000      0.00000000 1.0000000   0.00000000
## 1129     4491           0.00000000      1.00000000 0.0000000   0.00000000
## 1130     4499           0.72549020      0.39215686 0.6862745   0.15686275
## 1131     4500           0.67123288      0.48630137 0.5958904   0.10273973
## 1132     4503           1.00000000      1.00000000 1.0000000   0.00000000
## 1133     4505           1.00000000      1.00000000 0.7500000   0.25000000
## 1134     4523           0.00000000      0.00000000 1.0000000   1.00000000
## 1135     4526           1.00000000      1.00000000 0.5000000   0.16666667
## 1136     4538           1.00000000      1.00000000 0.0000000   0.00000000
## 1137     4548           0.83333333      0.41666667 0.5833333   0.16666667
## 1138     4550           0.50000000      0.00000000 0.6666667   0.16666667
## 1139     4555           1.00000000      0.00000000 1.0000000   0.33333333
## 1140     4557           1.00000000      0.00000000 1.0000000   0.00000000
## 1141     4575           0.80000000      0.00000000 0.6000000   0.10000000
## 1142     4577           0.85714286      0.00000000 0.7142857   0.28571429
## 1143     4587           1.00000000      0.00000000 0.6666667   0.00000000
## 1144     4589           1.00000000      1.00000000 1.0000000   0.00000000
## 1145     4590           1.00000000      1.00000000 0.5000000   0.00000000
## 1146     4598           1.00000000      0.00000000 0.6666667   0.00000000
## 1147     4599           0.71428571      0.28571429 0.8571429   0.28571429
## 1148     4600           0.36363636      0.54545455 0.9090909   0.27272727
## 1149     4609           0.00000000      0.00000000 0.5000000   0.00000000
## 1150     4614           1.00000000      1.00000000 1.0000000   0.00000000
## 1151     4622           1.00000000      1.00000000 1.0000000   0.00000000
## 1152     4625           1.00000000      1.00000000 1.0000000   0.00000000
## 1153     4635           0.00000000      1.00000000 0.0000000   0.00000000
## 1154     4640           0.00000000      1.00000000 0.7500000   0.12500000
## 1155     4641           1.00000000      1.00000000 0.5714286   0.14285714
## 1156     4642           1.00000000      0.00000000 0.5000000   0.00000000
## 1157     4650           1.00000000      1.00000000 0.0000000   0.00000000
## 1158     4663           1.00000000      0.00000000 0.6666667   0.00000000
## 1159     4664           1.00000000      1.00000000 0.0000000   0.00000000
## 1160     4674           0.75000000      0.37500000 0.7500000   0.25000000
## 1161     4675           0.41666667      0.83333333 0.5416667   0.20833333
## 1162     4677           1.00000000      0.00000000 1.0000000   0.00000000
## 1163     4680           0.00000000      1.00000000 0.5000000   0.00000000
## 1164     4682           0.00000000      0.00000000 0.5000000   0.00000000
## 1165     4683           1.00000000      0.50000000 1.0000000   0.25000000
## 1166     4689           1.00000000      0.00000000 0.6000000   0.00000000
## 1167     4690           1.00000000      0.00000000 0.5000000   0.50000000
## 1168     4691           1.00000000      0.00000000 1.0000000   0.00000000
## 1169     4695           0.00000000      1.00000000 1.0000000   1.00000000
## 1170     4696           1.00000000      0.00000000 0.3333333   0.00000000
## 1171     4697           1.00000000      0.00000000 0.0000000   0.00000000
## 1172     4699           0.75000000      0.25000000 0.5000000   0.00000000
## 1173     4700           0.77419355      0.54838710 0.6129032   0.09677419
## 1174     4703           0.00000000      0.00000000 0.0000000   0.00000000
## 1175     4706           1.00000000      0.12500000 0.6250000   0.25000000
## 1176     4710           1.00000000      0.00000000 1.0000000   0.00000000
## 1177     4711           1.00000000      1.00000000 1.0000000   0.33333333
## 1178     4720           1.00000000      0.00000000 0.5000000   0.00000000
## 1179     4721           0.00000000      0.00000000 0.0000000   0.00000000
## 1180     4725           1.00000000      0.66666667 0.6666667   0.33333333
## 1181     4727           1.00000000      1.00000000 0.5000000   0.00000000
## 1182     4732           1.00000000      0.00000000 0.7500000   0.25000000
## 1183     4737           1.00000000      0.00000000 1.0000000   0.00000000
## 1184     4749           0.00000000      1.00000000 0.2500000   0.00000000
## 1185     4750           0.47826087      0.82608696 0.3913043   0.13043478
## 1186     4753           1.00000000      0.00000000 1.0000000   0.00000000
## 1187     4755           1.00000000      0.00000000 1.0000000   0.00000000
## 1188     4759           1.00000000      1.00000000 0.0000000   0.00000000
## 1189     4760           0.50000000      1.00000000 0.5000000   0.00000000
## 1190     4770           0.83333333      0.83333333 1.0000000   0.00000000
## 1191     4776           0.00000000      1.00000000 1.0000000   0.00000000
## 1192     4777           1.00000000      0.00000000 0.7500000   0.25000000
## 1193     4781           1.00000000      0.00000000 0.6666667   0.16666667
## 1194     4783           1.00000000      0.00000000 0.0000000   0.00000000
## 1195     4785           1.00000000      0.00000000 0.7500000   0.25000000
## 1196     4788           0.66666667      0.00000000 0.5000000   0.00000000
## 1197     4789           1.00000000      0.00000000 1.0000000   1.00000000
## 1198     4790           0.83333333      0.83333333 0.8333333   0.00000000
## 1199     4799           0.94736842      0.57894737 0.4210526   0.10526316
## 1200     4800           0.30434783      0.73913043 0.6956522   0.17391304
## 1201     4803           0.00000000      0.00000000 1.0000000   1.00000000
## 1202     4816           1.00000000      0.00000000 1.0000000   0.00000000
## 1203     4819           1.00000000      0.00000000 1.0000000   0.00000000
## 1204     4823           0.00000000      0.00000000 1.0000000   0.00000000
## 1205     4839           1.00000000      1.00000000 0.6666667   0.00000000
## 1206     4840           0.66666667      0.33333333 0.3333333   0.00000000
## 1207     4844           0.14285714      1.00000000 0.5714286   0.14285714
## 1208     4845           0.50000000      1.00000000 0.5000000   0.50000000
## 1209     4850           0.00000000      0.50000000 0.5000000   0.00000000
## 1210     4854           1.00000000      0.00000000 0.0000000   0.00000000
## 1211     4860           1.00000000      0.75000000 0.6250000   0.12500000
## 1212     4861           1.00000000      0.00000000 1.0000000   1.00000000
## 1213     4863           1.00000000      0.00000000 1.0000000   1.00000000
## 1214     4864           1.00000000      0.00000000 0.5000000   0.00000000
## 1215     4865           1.00000000      0.00000000 0.5000000   0.50000000
## 1216     4866           1.00000000      1.00000000 0.6666667   0.00000000
## 1217     4870           0.00000000      0.00000000 1.0000000   0.50000000
## 1218     4875           0.18181818      1.00000000 0.5454545   0.09090909
## 1219     4876           0.00000000      0.00000000 1.0000000   0.25000000
## 1220     4879           1.00000000      0.00000000 0.0000000   0.00000000
## 1221     4883           1.00000000      1.00000000 1.0000000   0.00000000
## 1222     4888           0.44444444      0.22222222 0.5555556   0.00000000
## 1223     4895           0.50000000      0.00000000 0.6250000   0.06250000
## 1224     4896           0.75000000      0.25000000 0.5000000   0.25000000
## 1225     4899           0.28571429      0.85714286 0.2857143   0.00000000
## 1226     4900           0.55813953      0.65116279 0.6511628   0.16279070
## 1227     4905           1.00000000      0.33333333 0.6666667   0.16666667
## 1228     4916           1.00000000      1.00000000 1.0000000   0.00000000
## 1229     4920           1.00000000      0.66666667 1.0000000   0.00000000
## 1230     4923           1.00000000      1.00000000 1.0000000   0.00000000
## 1231     4924           1.00000000      0.00000000 0.5000000   0.16666667
## 1232     4929           0.66666667      0.66666667 0.5000000   0.16666667
## 1233     4930           0.75000000      0.00000000 0.5000000   0.00000000
## 1234     4933           1.00000000      0.00000000 0.7500000   0.25000000
## 1235     4934           1.00000000      1.00000000 0.3333333   0.00000000
## 1236     4937           1.00000000      0.00000000 0.5000000   0.16666667
## 1237     4939           0.33333333      0.00000000 0.6666667   0.33333333
## 1238     4940           0.50000000      1.00000000 0.0000000   0.00000000
## 1239     4941           0.33333333      0.00000000 0.6666667   0.00000000
## 1240     4949           1.00000000      0.00000000 0.0000000   0.00000000
## 1241     4950           0.61538462      0.88461538 0.6538462   0.15384615
## 1242     4953           1.00000000      1.00000000 1.0000000   0.00000000
## 1243     4957           1.00000000      1.00000000 1.0000000   0.00000000
## 1244     4960           0.00000000      1.00000000 0.0000000   0.00000000
## 1245     4963           1.00000000      0.00000000 0.5000000   0.00000000
## 1246     4967           1.00000000      0.00000000 0.6666667   0.16666667
## 1247     4980           1.00000000      0.00000000 0.5000000   0.00000000
## 1248     4981           1.00000000      0.00000000 0.6000000   0.00000000
## 1249     4990           0.57142857      0.42857143 0.5714286   0.00000000
## 1250     4999           0.76190476      0.42857143 0.6190476   0.14285714
## 1251     5000           0.70689655      0.45402299 0.6494253   0.12643678
## 1252     5001           0.40000000      0.00000000 0.6000000   0.10000000
## 1253     5003           1.00000000      0.00000000 0.3333333   0.33333333
## 1254     5004           1.00000000      1.00000000 1.0000000   0.00000000
## 1255     5014           0.00000000      1.00000000 0.5000000   0.00000000
## 1256     5015           0.00000000      1.00000000 0.6666667   0.00000000
## 1257     5016           0.00000000      1.00000000 0.8000000   0.00000000
## 1258     5024           1.00000000      0.00000000 0.7500000   0.25000000
## 1259     5025           1.00000000      0.50000000 1.0000000   0.00000000
## 1260     5039           0.54545455      1.00000000 0.8181818   0.27272727
## 1261     5040           1.00000000      1.00000000 0.5000000   0.00000000
## 1262     5042           1.00000000      0.28571429 0.4285714   0.14285714
## 1263     5050           0.40000000      0.60000000 0.4000000   0.00000000
## 1264     5056           0.00000000      1.00000000 1.0000000   1.00000000
## 1265     5060           1.00000000      0.50000000 0.0000000   0.00000000
## 1266     5065           0.00000000      0.00000000 1.0000000   0.00000000
## 1267     5075           0.00000000      1.00000000 0.6666667   0.00000000
## 1268     5084           0.00000000      1.00000000 0.5000000   0.00000000
## 1269     5086           1.00000000      0.00000000 1.0000000   0.33333333
## 1270     5098           0.50000000      1.00000000 0.5000000   0.00000000
## 1271     5099           1.00000000      0.00000000 0.7500000   0.00000000
## 1272     5100           0.30303030      0.30303030 0.4848485   0.09090909
## 1273     5104           1.00000000      1.00000000 0.5000000   0.00000000
## 1274     5105           1.00000000      1.00000000 1.0000000   0.00000000
## 1275     5108           0.00000000      0.00000000 0.5000000   0.00000000
## 1276     5109           1.00000000      0.00000000 0.5000000   0.00000000
## 1277     5129           1.00000000      0.50000000 0.5000000   0.00000000
## 1278     5130           1.00000000      1.00000000 0.5000000   0.00000000
## 1279     5133           1.00000000      1.00000000 0.6666667   0.16666667
## 1280     5135           1.00000000      1.00000000 1.0000000   0.00000000
## 1281     5145           1.00000000      0.00000000 1.0000000   0.00000000
## 1282     5157           1.00000000      0.00000000 0.5000000   0.00000000
## 1283     5166           1.00000000      1.00000000 1.0000000   0.00000000
## 1284     5170           1.00000000      1.00000000 0.0000000   0.00000000
## 1285     5174           1.00000000      0.85714286 0.5714286   0.14285714
## 1286     5175           1.00000000      0.00000000 0.0000000   0.00000000
## 1287     5183           1.00000000      1.00000000 0.6666667   0.00000000
## 1288     5190           0.00000000      1.00000000 1.0000000   0.00000000
## 1289     5194           1.00000000      0.00000000 0.5000000   0.00000000
## 1290     5198           1.00000000      1.00000000 0.0000000   0.00000000
## 1291     5199           1.00000000      1.00000000 0.6000000   0.20000000
## 1292     5200           0.54545455      0.63636364 0.6545455   0.14545455
## 1293     5202           1.00000000      0.16666667 0.6666667   0.00000000
## 1294     5212           1.00000000      0.00000000 0.0000000   0.00000000
## 1295     5214           0.50000000      0.00000000 0.5000000   0.00000000
## 1296     5215           0.00000000      1.00000000 0.6666667   0.33333333
## 1297     5216           1.00000000      1.00000000 0.5000000   0.00000000
## 1298     5220           0.00000000      0.00000000 0.5000000   0.00000000
## 1299     5225           1.00000000      0.00000000 0.7500000   0.00000000
## 1300     5240           1.00000000      0.00000000 0.5000000   0.00000000
## 1301     5247           1.00000000      1.00000000 1.0000000   0.00000000
## 1302     5249           0.00000000      1.00000000 0.0000000   0.00000000
## 1303     5250           0.37500000      0.58333333 0.5833333   0.08333333
## 1304     5259           1.00000000      0.00000000 1.0000000   1.00000000
## 1305     5265           1.00000000      1.00000000 0.6666667   0.00000000
## 1306     5279           1.00000000      0.00000000 0.5000000   0.00000000
## 1307     5285           1.00000000      0.00000000 0.0000000   0.00000000
## 1308     5290           1.00000000      0.33333333 1.0000000   0.66666667
## 1309     5294           1.00000000      1.00000000 1.0000000   0.00000000
## 1310     5299           1.00000000      0.25000000 0.7500000   0.00000000
## 1311     5300           0.84210526      0.52631579 0.5789474   0.15789474
## 1312     5315           1.00000000      1.00000000 0.5000000   0.25000000
## 1313     5316           1.00000000      0.00000000 1.0000000   0.00000000
## 1314     5320           1.00000000      1.00000000 1.0000000   0.50000000
## 1315     5321           0.18181818      0.00000000 0.7272727   0.09090909
## 1316     5325           0.00000000      1.00000000 1.0000000   0.00000000
## 1317     5330           1.00000000      1.00000000 1.0000000   0.60000000
## 1318     5332           1.00000000      1.00000000 0.5000000   0.00000000
## 1319     5337           1.00000000      0.00000000 1.0000000   1.00000000
## 1320     5343           1.00000000      0.00000000 0.0000000   0.00000000
## 1321     5349           1.00000000      0.00000000 0.0000000   0.00000000
## 1322     5350           1.00000000      1.00000000 0.7500000   0.00000000
## 1323     5354           0.00000000      0.60000000 0.4000000   0.00000000
## 1324     5355           0.25000000      1.00000000 0.6250000   0.00000000
## 1325     5356           1.00000000      0.00000000 0.6666667   0.00000000
## 1326     5359           0.00000000      1.00000000 0.5000000   0.00000000
## 1327     5360           1.00000000      0.00000000 0.3333333   0.00000000
## 1328     5361           1.00000000      0.00000000 0.5000000   0.00000000
## 1329     5365           1.00000000      0.00000000 0.6666667   0.00000000
## 1330     5367           1.00000000      0.00000000 0.3333333   0.33333333
## 1331     5375           1.00000000      0.00000000 0.5000000   0.50000000
## 1332     5399           1.00000000      0.75000000 0.6666667   0.16666667
## 1333     5400           0.68085106      0.57446809 0.6170213   0.12765957
## 1334     5407           1.00000000      0.00000000 0.5000000   0.00000000
## 1335     5412           1.00000000      0.00000000 0.5714286   0.14285714
## 1336     5420           1.00000000      0.00000000 0.5714286   0.14285714
## 1337     5425           0.00000000      1.00000000 0.0000000   0.00000000
## 1338     5427           0.60000000      0.00000000 0.6000000   0.20000000
## 1339     5438           0.00000000      1.00000000 0.5000000   0.00000000
## 1340     5440           0.16666667      0.83333333 0.6666667   0.16666667
## 1341     5450           0.73684211      0.10526316 0.5789474   0.05263158
## 1342     5456           0.00000000      1.00000000 0.5000000   0.50000000
## 1343     5459           0.33333333      0.33333333 0.3333333   0.00000000
## 1344     5460           1.00000000      0.00000000 1.0000000   0.00000000
## 1345     5490           1.00000000      0.08333333 0.5833333   0.08333333
## 1346     5496           1.00000000      1.00000000 0.5000000   0.00000000
## 1347     5499           0.88461538      0.42307692 0.6923077   0.15384615
## 1348     5500           0.78294574      0.60465116 0.6511628   0.11627907
## 1349     5508           1.00000000      1.00000000 1.0000000   0.00000000
## 1350     5514           0.00000000      0.00000000 1.0000000   0.16666667
## 1351     5524           0.00000000      1.00000000 1.0000000   0.00000000
## 1352     5525           0.40000000      0.80000000 0.8000000   0.00000000
## 1353     5529           0.50000000      1.00000000 0.5000000   0.00000000
## 1354     5533           1.00000000      1.00000000 0.5000000   0.00000000
## 1355     5534           0.22222222      0.00000000 0.5555556   0.00000000
## 1356     5535           1.00000000      1.00000000 0.3333333   0.00000000
## 1357     5536           1.00000000      1.00000000 0.0000000   0.00000000
## 1358     5541           1.00000000      0.00000000 0.0000000   0.00000000
## 1359     5544           1.00000000      1.00000000 1.0000000   0.00000000
## 1360     5545           1.00000000      1.00000000 0.5000000   0.00000000
## 1361     5550           0.40000000      0.60000000 0.8000000   0.00000000
## 1362     5555           1.00000000      0.50000000 1.0000000   1.00000000
## 1363     5560           1.00000000      0.00000000 0.5000000   0.00000000
## 1364     5562           0.00000000      1.00000000 1.0000000   0.00000000
## 1365     5565           1.00000000      1.00000000 0.6666667   0.16666667
## 1366     5567           1.00000000      0.00000000 0.6666667   0.16666667
## 1367     5569           1.00000000      0.00000000 1.0000000   1.00000000
## 1368     5579           1.00000000      0.50000000 1.0000000   0.00000000
## 1369     5580           0.00000000      1.00000000 0.5000000   0.00000000
## 1370     5588           1.00000000      0.00000000 0.0000000   0.00000000
## 1371     5590           1.00000000      0.00000000 0.5000000   0.00000000
## 1372     5593           1.00000000      1.00000000 0.5000000   0.16666667
## 1373     5595           1.00000000      0.00000000 1.0000000   0.00000000
## 1374     5598           1.00000000      1.00000000 0.5000000   0.00000000
## 1375     5599           0.50000000      0.50000000 0.7500000   0.50000000
## 1376     5600           0.63157895      0.84210526 0.6315789   0.05263158
## 1377     5601           1.00000000      1.00000000 0.5000000   0.00000000
## 1378     5619           1.00000000      1.00000000 0.0000000   0.00000000
## 1379     5625           0.71428571      0.71428571 0.4285714   0.14285714
## 1380     5632           1.00000000      1.00000000 0.5000000   0.00000000
## 1381     5640           0.81250000      0.00000000 0.4375000   0.00000000
## 1382     5641           1.00000000      0.00000000 0.5000000   0.00000000
## 1383     5643           1.00000000      1.00000000 1.0000000   0.00000000
## 1384     5650           0.25000000      0.75000000 0.7500000   0.00000000
## 1385     5653           1.00000000      1.00000000 1.0000000   0.00000000
## 1386     5658           1.00000000      1.00000000 0.5000000   0.00000000
## 1387     5666           0.00000000      1.00000000 0.8750000   0.25000000
## 1388     5670           1.00000000      1.00000000 0.0000000   0.00000000
## 1389     5671           1.00000000      0.00000000 0.6000000   0.20000000
## 1390     5680           0.00000000      1.00000000 1.0000000   0.00000000
## 1391     5683           1.00000000      1.00000000 0.0000000   0.00000000
## 1392     5688           0.00000000      1.00000000 1.0000000   0.00000000
## 1393     5695           0.50000000      0.00000000 1.0000000   0.00000000
## 1394     5699           1.00000000      1.00000000 1.0000000   0.00000000
## 1395     5700           0.88000000      0.48000000 0.5600000   0.12000000
## 1396     5708           1.00000000      0.00000000 1.0000000   0.00000000
## 1397     5720           0.00000000      1.00000000 1.0000000   0.33333333
## 1398     5722           1.00000000      1.00000000 1.0000000   0.00000000
## 1399     5738           0.66666667      1.00000000 1.0000000   0.00000000
## 1400     5740           1.00000000      0.00000000 0.5000000   0.00000000
## 1401     5746           0.50000000      0.00000000 0.5000000   0.14285714
## 1402     5748           1.00000000      0.00000000 1.0000000   1.00000000
## 1403     5750           0.65384615      0.61538462 0.6153846   0.19230769
## 1404     5758           1.00000000      0.00000000 0.3333333   0.00000000
## 1405     5759           1.00000000      0.60000000 0.6000000   0.00000000
## 1406     5760           1.00000000      0.77777778 0.8888889   0.22222222
## 1407     5774           0.00000000      0.00000000 0.0000000   0.00000000
## 1408     5776           1.00000000      0.50000000 0.5000000   0.00000000
## 1409     5778           0.00000000      1.00000000 1.0000000   1.00000000
## 1410     5779           0.00000000      0.00000000 1.0000000   1.00000000
## 1411     5786           1.00000000      1.00000000 1.0000000   0.00000000
## 1412     5790           1.00000000      0.00000000 0.7500000   0.25000000
## 1413     5796           1.00000000      1.00000000 0.0000000   0.00000000
## 1414     5799           0.00000000      0.00000000 1.0000000   0.00000000
## 1415     5800           0.81250000      0.56250000 0.5625000   0.06250000
## 1416     5801           1.00000000      1.00000000 1.0000000   1.00000000
## 1417     5812           1.00000000      1.00000000 1.0000000   0.00000000
## 1418     5813           0.00000000      1.00000000 0.0000000   0.00000000
## 1419     5830           1.00000000      1.00000000 1.0000000   0.00000000
## 1420     5831           0.00000000      0.00000000 0.6666667   0.16666667
## 1421     5833           0.00000000      1.00000000 0.0000000   0.00000000
## 1422     5835           1.00000000      0.00000000 1.0000000   1.00000000
## 1423     5839           0.00000000      1.00000000 1.0000000   0.00000000
## 1424     5840           1.00000000      1.00000000 0.2500000   0.25000000
## 1425     5841           1.00000000      1.00000000 0.7500000   0.25000000
## 1426     5844           1.00000000      1.00000000 0.5000000   0.00000000
## 1427     5847           1.00000000      0.00000000 0.0000000   0.00000000
## 1428     5849           0.25000000      1.00000000 1.0000000   0.25000000
## 1429     5850           0.56140351      0.78947368 0.6140351   0.14035088
## 1430     5853           0.05882353      0.00000000 0.6470588   0.11764706
## 1431     5858           1.00000000      0.00000000 0.7500000   0.25000000
## 1432     5862           1.00000000      1.00000000 0.5000000   0.00000000
## 1433     5877           1.00000000      0.50000000 0.5000000   0.50000000
## 1434     5882           1.00000000      0.60000000 0.2000000   0.00000000
## 1435     5883           1.00000000      1.00000000 1.0000000   0.00000000
## 1436     5886           1.00000000      1.00000000 0.6666667   0.16666667
## 1437     5891           1.00000000      1.00000000 1.0000000   0.00000000
## 1438     5894           1.00000000      1.00000000 1.0000000   0.00000000
## 1439     5900           1.00000000      0.00000000 1.0000000   0.00000000
## 1440     5901           0.00000000      0.00000000 0.7500000   0.00000000
## 1441     5905           0.00000000      0.00000000 0.6666667   0.33333333
## 1442     5910           1.00000000      0.50000000 0.5000000   0.00000000
## 1443     5919           1.00000000      0.25000000 0.5000000   0.00000000
## 1444     5920           0.00000000      1.00000000 0.5000000   0.00000000
## 1445     5925           1.00000000      0.00000000 1.0000000   0.00000000
## 1446     5939           1.00000000      1.00000000 1.0000000   0.00000000
## 1447     5950           0.62500000      0.83333333 0.5416667   0.08333333
## 1448     5959           0.61904762      0.00000000 0.5714286   0.09523810
## 1449     5962           0.00000000      1.00000000 0.0000000   0.00000000
## 1450     5968           1.00000000      0.00000000 0.8000000   0.20000000
## 1451     5970           1.00000000      1.00000000 1.0000000   0.00000000
## 1452     5975           1.00000000      0.00000000 1.0000000   0.33333333
## 1453     5978           1.00000000      1.00000000 1.0000000   0.00000000
## 1454     5980           0.00000000      1.00000000 0.0000000   0.00000000
## 1455     5985           1.00000000      1.00000000 0.4000000   0.00000000
## 1456     5999           0.67567568      0.86486486 0.6216216   0.10810811
## 1457     6000           0.70454545      0.55303030 0.6439394   0.09848485
## 1458     6001           1.00000000      0.00000000 0.0000000   0.00000000
## 1459     6003           1.00000000      0.00000000 0.0000000   0.00000000
## 1460     6004           1.00000000      0.00000000 0.5000000   0.16666667
## 1461     6012           1.00000000      1.00000000 1.0000000   1.00000000
## 1462     6025           1.00000000      0.00000000 1.0000000   0.00000000
## 1463     6031           1.00000000      1.00000000 0.6000000   0.20000000
## 1464     6034           1.00000000      0.00000000 0.5000000   0.00000000
## 1465     6041           1.00000000      1.00000000 0.5000000   0.00000000
## 1466     6044           1.00000000      1.00000000 0.8000000   0.00000000
## 1467     6046           1.00000000      0.00000000 0.6666667   0.33333333
## 1468     6049           1.00000000      0.00000000 0.6666667   0.00000000
## 1469     6050           0.16666667      0.33333333 0.8333333   0.00000000
## 1470     6053           1.00000000      0.00000000 0.7500000   0.25000000
## 1471     6066           0.66666667      0.00000000 0.5555556   0.00000000
## 1472     6068           0.00000000      0.00000000 0.5000000   0.00000000
## 1473     6072           1.00000000      1.00000000 0.5000000   0.00000000
## 1474     6075           1.00000000      0.00000000 0.5000000   0.00000000
## 1475     6080           0.50000000      1.00000000 0.0000000   0.00000000
## 1476     6083           1.00000000      0.00000000 0.0000000   0.00000000
## 1477     6099           1.00000000      0.00000000 0.5000000   0.00000000
## 1478     6100           1.00000000      1.00000000 0.3333333   0.00000000
## 1479     6106           1.00000000      0.00000000 0.6666667   0.00000000
## 1480     6113           0.00000000      1.00000000 1.0000000   0.00000000
## 1481     6118           1.00000000      0.00000000 0.5000000   0.00000000
## 1482     6119           1.00000000      1.00000000 0.5000000   0.00000000
## 1483     6120           0.00000000      1.00000000 0.5000000   0.00000000
## 1484     6125           1.00000000      1.00000000 1.0000000   0.00000000
## 1485     6138           1.00000000      1.00000000 1.0000000   1.00000000
## 1486     6149           1.00000000      1.00000000 0.0000000   0.00000000
## 1487     6150           1.00000000      0.50000000 0.2500000   0.25000000
## 1488     6159           1.00000000      1.00000000 0.8571429   0.28571429
## 1489     6160           0.25000000      1.00000000 0.5000000   0.00000000
## 1490     6163           0.66666667      0.66666667 0.7777778   0.11111111
## 1491     6170           1.00000000      0.00000000 0.0000000   0.00000000
## 1492     6172           0.40000000      0.00000000 0.5000000   0.00000000
## 1493     6174           0.00000000      1.00000000 1.0000000   0.00000000
## 1494     6186           1.00000000      1.00000000 1.0000000   0.00000000
## 1495     6190           0.00000000      1.00000000 1.0000000   1.00000000
## 1496     6199           1.00000000      1.00000000 0.5000000   0.00000000
## 1497     6200           0.62500000      0.50000000 0.8750000   0.37500000
## 1498     6204           0.00000000      0.00000000 0.6666667   0.33333333
## 1499     6205           0.50000000      1.00000000 0.5000000   0.00000000
## 1500     6219           1.00000000      1.00000000 0.0000000   0.00000000
## 1501     6222           1.00000000      1.00000000 1.0000000   0.00000000
## 1502     6228           1.00000000      1.00000000 0.6000000   0.20000000
## 1503     6240           0.00000000      1.00000000 1.0000000   0.00000000
## 1504     6250           0.38461538      1.00000000 0.4615385   0.07692308
## 1505     6255           1.00000000      1.00000000 1.0000000   0.00000000
## 1506     6279           0.84615385      0.00000000 0.6153846   0.07692308
## 1507     6290           1.00000000      1.00000000 1.0000000   0.00000000
## 1508     6299           0.56250000      0.68750000 0.6250000   0.06250000
## 1509     6300           0.77142857      0.65714286 0.7714286   0.14285714
## 1510     6303           1.00000000      1.00000000 1.0000000   0.50000000
## 1511     6319           1.00000000      1.00000000 1.0000000   1.00000000
## 1512     6320           1.00000000      1.00000000 1.0000000   0.00000000
## 1513     6333           1.00000000      0.00000000 0.7500000   0.25000000
## 1514     6335           1.00000000      0.00000000 0.6666667   0.00000000
## 1515     6336           0.00000000      1.00000000 1.0000000   0.00000000
## 1516     6349           1.00000000      1.00000000 0.5000000   0.00000000
## 1517     6350           0.00000000      0.00000000 0.0000000   0.00000000
## 1518     6355           1.00000000      0.00000000 1.0000000   0.00000000
## 1519     6368           1.00000000      1.00000000 1.0000000   0.00000000
## 1520     6375           0.80000000      0.75000000 0.7000000   0.05000000
## 1521     6383           1.00000000      1.00000000 0.5000000   0.50000000
## 1522     6385           0.25000000      0.00000000 0.2500000   0.00000000
## 1523     6390           0.00000000      1.00000000 1.0000000   0.33333333
## 1524     6398           1.00000000      0.00000000 1.0000000   0.00000000
## 1525     6399           1.00000000      1.00000000 0.5454545   0.09090909
## 1526     6400           0.91666667      0.70833333 0.5833333   0.08333333
## 1527     6428           1.00000000      0.00000000 0.5714286   0.14285714
## 1528     6430           0.00000000      1.00000000 1.0000000   0.00000000
## 1529     6440           0.00000000      1.00000000 0.3333333   0.00000000
## 1530     6446           1.00000000      1.00000000 0.5000000   0.00000000
## 1531     6450           0.00000000      0.00000000 1.0000000   0.00000000
## 1532     6460           1.00000000      1.00000000 0.3333333   0.00000000
## 1533     6471           1.00000000      1.00000000 0.5000000   0.16666667
## 1534     6474           1.00000000      1.00000000 0.0000000   0.00000000
## 1535     6479           0.50000000      1.00000000 0.0000000   0.00000000
## 1536     6482           1.00000000      0.00000000 0.6666667   0.00000000
## 1537     6489           1.00000000      1.00000000 1.0000000   0.00000000
## 1538     6492           0.54545455      0.00000000 0.5454545   0.00000000
## 1539     6499           1.00000000      0.92307692 0.6923077   0.15384615
## 1540     6500           0.74107143      0.42857143 0.5357143   0.09821429
## 1541     6513           1.00000000      1.00000000 1.0000000   0.00000000
## 1542     6529           1.00000000      1.00000000 1.0000000   0.00000000
## 1543     6539           1.00000000      1.00000000 1.0000000   1.00000000
## 1544     6550           0.00000000      0.00000000 0.0000000   0.00000000
## 1545     6554           1.00000000      1.00000000 0.0000000   0.00000000
## 1546     6570           1.00000000      1.00000000 0.0000000   0.00000000
## 1547     6576           1.00000000      1.00000000 0.0000000   0.00000000
## 1548     6588           1.00000000      1.00000000 0.7500000   0.00000000
## 1549     6592           1.00000000      1.00000000 1.0000000   0.14285714
## 1550     6598           0.71428571      0.00000000 0.5714286   0.14285714
## 1551     6599           0.14285714      0.00000000 0.7142857   0.28571429
## 1552     6600           0.50000000      0.50000000 0.7500000   0.50000000
## 1553     6601           1.00000000      0.00000000 0.5000000   0.00000000
## 1554     6606           1.00000000      1.00000000 1.0000000   0.00000000
## 1555     6617           1.00000000      0.00000000 0.5000000   0.00000000
## 1556     6650           0.00000000      0.00000000 1.0000000   0.00000000
## 1557     6666           0.00000000      0.00000000 0.5714286   0.14285714
## 1558     6667           1.00000000      0.00000000 0.8000000   0.20000000
## 1559     6670           1.00000000      0.00000000 1.0000000   0.00000000
## 1560     6671           1.00000000      0.00000000 1.0000000   0.00000000
## 1561     6699           1.00000000      1.00000000 0.6000000   0.20000000
## 1562     6700           1.00000000      0.75000000 0.2500000   0.25000000
## 1563     6705           0.75000000      0.62500000 0.5000000   0.00000000
## 1564     6720           1.00000000      1.00000000 1.0000000   0.00000000
## 1565     6723           1.00000000      0.00000000 1.0000000   0.00000000
## 1566     6729           1.00000000      1.00000000 1.0000000   0.00000000
## 1567     6750           0.68750000      0.93750000 0.6875000   0.31250000
## 1568     6790           0.00000000      1.00000000 1.0000000   1.00000000
## 1569     6796           1.00000000      1.00000000 0.8000000   0.20000000
## 1570     6798           1.00000000      0.00000000 1.0000000   0.00000000
## 1571     6799           0.85714286      0.42857143 0.8571429   0.14285714
## 1572     6800           0.77272727      0.77272727 0.6363636   0.04545455
## 1573     6811           0.84615385      0.00000000 0.6153846   0.07692308
## 1574     6824           0.00000000      1.00000000 1.0000000   0.00000000
## 1575     6840           0.62500000      0.75000000 0.5000000   0.00000000
## 1576     6842           0.00000000      1.00000000 1.0000000   0.50000000
## 1577     6850           0.00000000      1.00000000 1.0000000   0.00000000
## 1578     6885           1.00000000      1.00000000 0.0000000   0.00000000
## 1579     6899           1.00000000      1.00000000 0.0000000   0.00000000
## 1580     6900           1.00000000      0.00000000 1.0000000   0.50000000
## 1581     6933           1.00000000      1.00000000 0.0000000   0.00000000
## 1582     6950           0.00000000      0.50000000 1.0000000   0.00000000
## 1583     6955           1.00000000      0.00000000 0.5000000   0.16666667
## 1584     6960           1.00000000      0.00000000 0.6666667   0.16666667
## 1585     6970           1.00000000      1.00000000 0.0000000   0.00000000
## 1586     6980           1.00000000      0.00000000 1.0000000   0.00000000
## 1587     6992           1.00000000      1.00000000 0.0000000   0.00000000
## 1588     6993           1.00000000      1.00000000 0.7500000   0.25000000
## 1589     6998           1.00000000      0.00000000 1.0000000   0.00000000
## 1590     6999           0.97142857      0.77142857 0.5714286   0.05714286
## 1591     7000           0.89743590      0.64957265 0.6153846   0.11965812
## 1592     7013           1.00000000      1.00000000 0.5000000   0.00000000
## 1593     7014           1.00000000      1.00000000 0.7500000   0.00000000
## 1594     7020           0.00000000      1.00000000 1.0000000   0.00000000
## 1595     7024           1.00000000      0.00000000 0.5555556   0.11111111
## 1596     7040           0.00000000      1.00000000 1.0000000   0.50000000
## 1597     7049           0.00000000      1.00000000 0.0000000   0.00000000
## 1598     7059           1.00000000      0.00000000 0.7142857   0.14285714
## 1599     7082           1.00000000      0.50000000 0.5000000   0.00000000
## 1600     7083           1.00000000      0.00000000 1.0000000   1.00000000
## 1601     7098           1.00000000      1.00000000 0.6666667   0.00000000
## 1602     7099           1.00000000      0.00000000 1.0000000   1.00000000
## 1603     7100           0.50000000      1.00000000 0.5000000   0.00000000
## 1604     7110           1.00000000      0.07692308 0.5384615   0.23076923
## 1605     7120           1.00000000      1.00000000 0.7142857   0.14285714
## 1606     7124           1.00000000      1.00000000 0.6666667   0.16666667
## 1607     7125           0.16666667      1.00000000 0.8333333   0.16666667
## 1608     7130           0.40000000      0.00000000 0.5666667   0.00000000
## 1609     7138           1.00000000      1.00000000 0.0000000   0.00000000
## 1610     7140           1.00000000      1.00000000 0.0000000   0.00000000
## 1611     7143           1.00000000      1.00000000 1.0000000   0.25000000
## 1612     7148           1.00000000      1.00000000 1.0000000   0.00000000
## 1613     7165           0.00000000      1.00000000 0.6666667   0.00000000
## 1614     7170           0.00000000      1.00000000 0.0000000   0.00000000
## 1615     7175           1.00000000      1.00000000 0.5000000   0.50000000
## 1616     7176           0.00000000      1.00000000 0.0000000   0.00000000
## 1617     7199           1.00000000      0.71428571 0.5714286   0.14285714
## 1618     7200           0.50000000      0.70588235 0.5000000   0.11764706
## 1619     7212           1.00000000      0.00000000 0.7500000   0.50000000
## 1620     7216           1.00000000      1.00000000 1.0000000   1.00000000
## 1621     7220           1.00000000      1.00000000 1.0000000   1.00000000
## 1622     7223           1.00000000      0.00000000 1.0000000   0.00000000
## 1623     7224           0.00000000      0.00000000 1.0000000   0.00000000
## 1624     7225           0.17647059      1.00000000 0.7647059   0.17647059
## 1625     7237           0.66666667      0.00000000 0.6666667   0.00000000
## 1626     7250           0.92857143      0.92857143 0.8571429   0.14285714
## 1627     7264           1.00000000      0.00000000 0.0000000   0.00000000
## 1628     7268           0.00000000      1.00000000 0.5000000   0.00000000
## 1629     7272           1.00000000      1.00000000 0.0000000   0.00000000
## 1630     7275           0.50000000      0.50000000 0.5000000   0.00000000
## 1631     7290           0.00000000      1.00000000 1.0000000   0.00000000
## 1632     7300           0.85714286      0.50000000 0.6428571   0.14285714
## 1633     7317           1.00000000      0.00000000 0.6666667   0.16666667
## 1634     7334           1.00000000      0.00000000 0.6666667   0.00000000
## 1635     7343           0.75000000      0.00000000 0.6250000   0.12500000
## 1636     7349           1.00000000      1.00000000 1.0000000   0.00000000
## 1637     7350           0.33333333      1.00000000 0.6666667   0.00000000
## 1638     7359           0.00000000      1.00000000 1.0000000   0.00000000
## 1639     7364           1.00000000      1.00000000 0.0000000   0.00000000
## 1640     7375           1.00000000      1.00000000 0.6000000   0.20000000
## 1641     7379           1.00000000      1.00000000 1.0000000   0.00000000
## 1642     7380           1.00000000      0.33333333 0.3333333   0.00000000
## 1643     7382           1.00000000      1.00000000 0.7500000   0.25000000
## 1644     7390           1.00000000      0.00000000 1.0000000   0.00000000
## 1645     7395           0.00000000      1.00000000 1.0000000   0.00000000
## 1646     7399           1.00000000      0.33333333 0.6666667   0.00000000
## 1647     7400           1.00000000      1.00000000 1.0000000   0.00000000
## 1648     7419           1.00000000      0.00000000 1.0000000   0.00000000
## 1649     7438           0.83333333      1.00000000 0.5000000   0.33333333
## 1650     7439           1.00000000      1.00000000 0.5000000   0.00000000
## 1651     7440           0.00000000      1.00000000 1.0000000   0.00000000
## 1652     7450           0.94117647      0.05882353 0.4705882   0.11764706
## 1653     7459           1.00000000      0.00000000 1.0000000   0.00000000
## 1654     7460           0.00000000      1.00000000 0.0000000   0.00000000
## 1655     7475           1.00000000      1.00000000 0.6000000   0.20000000
## 1656     7487           1.00000000      0.00000000 0.0000000   0.00000000
## 1657     7499           0.88888889      0.11111111 0.6666667   0.11111111
## 1658     7500           0.88732394      0.69014085 0.6760563   0.18309859
## 1659     7505           1.00000000      0.00000000 1.0000000   0.00000000
## 1660     7537           1.00000000      1.00000000 1.0000000   0.00000000
## 1661     7549           1.00000000      1.00000000 1.0000000   0.00000000
## 1662     7556           0.66666667      0.00000000 0.6666667   0.00000000
## 1663     7558           1.00000000      1.00000000 0.0000000   0.00000000
## 1664     7591           1.00000000      0.00000000 1.0000000   0.00000000
## 1665     7599           1.00000000      0.77777778 0.5555556   0.11111111
## 1666     7600           0.77777778      0.44444444 0.6666667   0.22222222
## 1667     7601           1.00000000      1.00000000 0.5000000   0.00000000
## 1668     7632           1.00000000      0.00000000 1.0000000   0.00000000
## 1669     7642           1.00000000      0.00000000 0.6666667   0.33333333
## 1670     7647           1.00000000      0.00000000 0.6000000   0.20000000
## 1671     7649           0.61538462      1.00000000 0.6153846   0.15384615
## 1672     7650           0.80000000      0.96000000 0.6800000   0.12000000
## 1673     7663           0.62500000      0.25000000 0.4375000   0.06250000
## 1674     7666           1.00000000      0.00000000 1.0000000   0.00000000
## 1675     7673           1.00000000      1.00000000 1.0000000   0.00000000
## 1676     7678           1.00000000      0.00000000 1.0000000   0.00000000
## 1677     7692           1.00000000      1.00000000 0.0000000   0.00000000
## 1678     7695           1.00000000      0.00000000 0.6000000   0.20000000
## 1679     7700           1.00000000      0.00000000 0.0000000   0.00000000
## 1680     7713           1.00000000      0.00000000 0.5000000   0.00000000
## 1681     7740           1.00000000      1.00000000 0.5000000   0.00000000
## 1682     7749           1.00000000      0.00000000 1.0000000   0.66666667
## 1683     7750           1.00000000      1.00000000 0.2500000   0.00000000
## 1684     7768           0.00000000      1.00000000 0.7500000   0.25000000
## 1685     7769           1.00000000      0.00000000 0.5000000   0.25000000
## 1686     7773           1.00000000      1.00000000 0.0000000   0.00000000
## 1687     7792           1.00000000      1.00000000 0.6666667   0.33333333
## 1688     7800           1.00000000      1.00000000 0.7500000   0.25000000
## 1689     7820           0.50000000      1.00000000 0.0000000   0.00000000
## 1690     7830           1.00000000      1.00000000 0.0000000   0.00000000
## 1691     7839           1.00000000      1.00000000 0.5000000   0.00000000
## 1692     7846           1.00000000      1.00000000 0.0000000   0.00000000
## 1693     7849           1.00000000      1.00000000 0.0000000   0.00000000
## 1694     7850           0.00000000      1.00000000 0.5000000   0.50000000
## 1695     7862           1.00000000      0.00000000 0.8000000   0.20000000
## 1696     7874           1.00000000      0.00000000 0.3333333   0.33333333
## 1697     7875           0.00000000      1.00000000 1.0000000   0.00000000
## 1698     7876           1.00000000      0.00000000 1.0000000   0.00000000
## 1699     7885           0.00000000      1.00000000 0.0000000   0.00000000
## 1700     7900           1.00000000      1.00000000 0.0000000   0.00000000
## 1701     7904           1.00000000      1.00000000 0.3333333   0.33333333
## 1702     7905           1.00000000      1.00000000 1.0000000   0.00000000
## 1703     7920           1.00000000      1.00000000 0.5000000   0.50000000
## 1704     7922           1.00000000      0.00000000 1.0000000   0.00000000
## 1705     7943           0.00000000      1.00000000 1.0000000   1.00000000
## 1706     7950           1.00000000      1.00000000 1.0000000   0.00000000
## 1707     7969           1.00000000      1.00000000 0.0000000   0.00000000
## 1708     7973           1.00000000      1.00000000 1.0000000   0.00000000
## 1709     7975           1.00000000      0.00000000 0.0000000   0.00000000
## 1710     7980           1.00000000      0.00000000 0.0000000   0.00000000
## 1711     7982           1.00000000      0.00000000 0.5000000   0.00000000
## 1712     7990           1.00000000      0.00000000 1.0000000   0.00000000
## 1713     7999           0.66666667      0.77777778 0.6388889   0.19444444
## 1714     8000           0.80000000      0.84000000 0.6400000   0.13333333
## 1715     8005           1.00000000      0.00000000 1.0000000   0.33333333
## 1716     8008           0.00000000      1.00000000 0.0000000   0.00000000
## 1717     8010           1.00000000      1.00000000 1.0000000   0.00000000
## 1718     8026           1.00000000      0.00000000 0.7500000   0.25000000
## 1719     8033           0.00000000      1.00000000 1.0000000   0.00000000
## 1720     8046           1.00000000      1.00000000 0.6666667   0.16666667
## 1721     8054           1.00000000      0.00000000 0.3333333   0.00000000
## 1722     8075           1.00000000      1.00000000 1.0000000   0.00000000
## 1723     8088           0.00000000      0.00000000 0.6428571   0.14285714
## 1724     8089           1.00000000      0.00000000 1.0000000   0.25000000
## 1725     8099           0.66666667      0.50000000 1.0000000   0.00000000
## 1726     8100           0.66666667      0.66666667 0.6666667   0.00000000
## 1727     8125           1.00000000      1.00000000 0.7142857   0.14285714
## 1728     8149           1.00000000      1.00000000 1.0000000   0.00000000
## 1729     8176           1.00000000      0.00000000 1.0000000   1.00000000
## 1730     8179           1.00000000      1.00000000 0.5000000   0.00000000
## 1731     8195           0.00000000      0.00000000 0.5000000   0.00000000
## 1732     8200           1.00000000      0.00000000 1.0000000   1.00000000
## 1733     8231           1.00000000      1.00000000 1.0000000   0.33333333
## 1734     8245           0.00000000      1.00000000 0.7500000   0.25000000
## 1735     8249           0.00000000      1.00000000 0.0000000   0.00000000
## 1736     8250           0.75000000      0.75000000 0.2500000   0.00000000
## 1737     8273           1.00000000      1.00000000 1.0000000   0.00000000
## 1738     8280           0.50000000      1.00000000 0.0000000   0.00000000
## 1739     8291           1.00000000      1.00000000 1.0000000   1.00000000
## 1740     8293           1.00000000      0.00000000 0.5000000   0.16666667
## 1741     8298           1.00000000      0.00000000 1.0000000   0.00000000
## 1742     8299           1.00000000      1.00000000 1.0000000   0.00000000
## 1743     8300           1.00000000      0.50000000 0.0000000   0.00000000
## 1744     8301           0.33333333      0.00000000 0.3333333   0.00000000
## 1745     8313           1.00000000      1.00000000 0.0000000   0.00000000
## 1746     8325           0.00000000      1.00000000 1.0000000   0.25000000
## 1747     8328           1.00000000      1.00000000 0.5000000   0.50000000
## 1748     8330           0.00000000      1.00000000 0.0000000   0.00000000
## 1749     8331           1.00000000      1.00000000 1.0000000   0.50000000
## 1750     8339           1.00000000      0.33333333 0.6666667   0.00000000
## 1751     8399           1.00000000      1.00000000 1.0000000   0.00000000
## 1752     8400           1.00000000      0.58823529 0.7058824   0.23529412
## 1753     8408           1.00000000      0.00000000 0.0000000   0.00000000
## 1754     8445           1.00000000      0.00000000 1.0000000   0.00000000
## 1755     8450           1.00000000      1.00000000 0.6250000   0.12500000
## 1756     8457           1.00000000      0.00000000 0.7500000   0.25000000
## 1757     8475           1.00000000      0.00000000 0.7142857   0.14285714
## 1758     8495           1.00000000      1.00000000 0.5000000   0.50000000
## 1759     8499           1.00000000      0.87500000 0.6250000   0.12500000
## 1760     8500           0.75824176      0.76923077 0.6263736   0.10989011
## 1761     8514           0.00000000      0.00000000 0.5000000   0.00000000
## 1762     8518           1.00000000      1.00000000 1.0000000   0.50000000
## 1763     8537           1.00000000      0.00000000 0.5000000   0.00000000
## 1764     8550           0.41666667      0.66666667 0.6666667   0.16666667
## 1765     8560           1.00000000      1.00000000 0.5000000   0.00000000
## 1766     8600           1.00000000      0.20000000 0.6000000   0.20000000
## 1767     8625           1.00000000      0.00000000 1.0000000   0.00000000
## 1768     8663           1.00000000      1.00000000 1.0000000   0.00000000
## 1769     8664           1.00000000      0.00000000 0.6666667   0.16666667
## 1770     8665           1.00000000      1.00000000 1.0000000   0.25000000
## 1771     8695           1.00000000      0.00000000 0.0000000   0.00000000
## 1772     8699           1.00000000      1.00000000 0.0000000   0.00000000
## 1773     8700           1.00000000      0.00000000 1.0000000   0.50000000
## 1774     8715           0.00000000      1.00000000 0.0000000   0.00000000
## 1775     8725           1.00000000      0.00000000 0.5000000   0.50000000
## 1776     8727           0.60000000      0.00000000 0.6000000   0.10000000
## 1777     8740           0.00000000      1.00000000 0.0000000   0.00000000
## 1778     8750           0.00000000      0.66666667 0.6666667   0.00000000
## 1779     8755           1.00000000      0.00000000 0.5714286   0.14285714
## 1780     8772           0.00000000      0.00000000 0.7142857   0.14285714
## 1781     8790           0.00000000      1.00000000 0.5000000   0.00000000
## 1782     8799           1.00000000      0.66666667 0.6666667   0.00000000
## 1783     8800           0.91666667      0.91666667 0.7500000   0.25000000
## 1784     8820           0.00000000      1.00000000 1.0000000   0.00000000
## 1785     8834           1.00000000      0.00000000 0.6666667   0.33333333
## 1786     8849           1.00000000      1.00000000 0.6666667   0.33333333
## 1787     8885           1.00000000      0.00000000 0.0000000   0.00000000
## 1788     8887           1.00000000      1.00000000 0.5000000   0.00000000
## 1789     8892           1.00000000      1.00000000 1.0000000   0.00000000
## 1790     8900           1.00000000      0.66666667 0.6666667   0.33333333
## 1791     8909           1.00000000      0.25000000 0.7500000   0.25000000
## 1792     8912           1.00000000      1.00000000 0.5000000   0.00000000
## 1793     8925           1.00000000      1.00000000 0.5000000   0.50000000
## 1794     8978           0.00000000      1.00000000 0.5000000   0.00000000
## 1795     8979           1.00000000      1.00000000 0.6666667   0.00000000
## 1796     8990           1.00000000      0.00000000 0.0000000   0.00000000
## 1797     8999           0.78260870      0.78260870 0.6086957   0.04347826
## 1798     9000           0.79569892      0.69892473 0.5483871   0.12903226
## 1799     9020           0.00000000      1.00000000 0.3333333   0.00000000
## 1800     9031           1.00000000      1.00000000 0.6666667   0.33333333
## 1801     9043           1.00000000      0.00000000 0.0000000   0.00000000
## 1802     9047           0.00000000      0.00000000 0.5000000   0.00000000
## 1803     9050           0.00000000      1.00000000 1.0000000   0.00000000
## 1804     9100           1.00000000      1.00000000 1.0000000   0.00000000
## 1805     9125           1.00000000      0.00000000 0.6666667   0.00000000
## 1806     9135           1.00000000      1.00000000 0.5714286   0.14285714
## 1807     9153           0.00000000      0.00000000 0.5000000   0.00000000
## 1808     9180           1.00000000      0.00000000 1.0000000   0.00000000
## 1809     9199           1.00000000      0.83333333 0.8333333   0.33333333
## 1810     9200           0.62500000      1.00000000 0.6250000   0.18750000
## 1811     9225           1.00000000      1.00000000 1.0000000   0.00000000
## 1812     9260           0.33333333      0.00000000 0.6666667   0.00000000
## 1813     9299           1.00000000      1.00000000 0.5000000   0.00000000
## 1814     9300           1.00000000      0.00000000 1.0000000   1.00000000
## 1815     9307           1.00000000      1.00000000 0.0000000   0.00000000
## 1816     9315           1.00000000      0.00000000 0.3333333   0.00000000
## 1817     9342           0.00000000      1.00000000 0.3333333   0.00000000
## 1818     9343           1.00000000      0.00000000 0.0000000   0.00000000
## 1819     9349           1.00000000      1.00000000 0.5714286   0.14285714
## 1820     9350           0.71428571      0.28571429 0.5714286   0.14285714
## 1821     9366           1.00000000      0.00000000 0.0000000   0.00000000
## 1822     9400           0.00000000      0.00000000 1.0000000   1.00000000
## 1823     9425           1.00000000      1.00000000 0.6666667   0.16666667
## 1824     9449           1.00000000      0.00000000 0.5000000   0.00000000
## 1825     9450           0.95652174      1.00000000 0.6956522   0.21739130
## 1826     9454           1.00000000      0.00000000 1.0000000   0.00000000
## 1827     9472           0.25000000      0.25000000 0.6250000   0.00000000
## 1828     9488           1.00000000      0.00000000 1.0000000   0.00000000
## 1829     9499           1.00000000      0.83333333 0.6666667   0.16666667
## 1830     9500           0.61111111      0.70370370 0.6296296   0.22222222
## 1831     9505           1.00000000      0.00000000 1.0000000   0.00000000
## 1832     9563           1.00000000      1.00000000 1.0000000   0.00000000
## 1833     9579           1.00000000      0.00000000 0.5000000   0.00000000
## 1834     9599           1.00000000      1.00000000 1.0000000   0.00000000
## 1835     9600           0.83333333      0.50000000 0.5000000   0.16666667
## 1836     9659           1.00000000      1.00000000 1.0000000   0.00000000
## 1837     9660           0.50000000      0.50000000 0.5000000   0.00000000
## 1838     9668           1.00000000      0.00000000 0.5000000   0.16666667
## 1839     9676           1.00000000      0.00000000 1.0000000   0.00000000
## 1840     9696           1.00000000      0.00000000 0.6666667   0.16666667
## 1841     9738           1.00000000      1.00000000 0.0000000   0.00000000
## 1842     9750           0.30000000      1.00000000 0.4000000   0.00000000
## 1843     9775           0.00000000      1.00000000 1.0000000   0.00000000
## 1844     9779           1.00000000      1.00000000 1.0000000   0.00000000
## 1845     9792           0.60000000      0.00000000 0.6000000   0.00000000
## 1846     9800           1.00000000      0.00000000 0.4000000   0.00000000
## 1847     9836           1.00000000      1.00000000 0.6666667   0.00000000
## 1848     9898           0.33333333      0.00000000 0.7777778   0.22222222
## 1849     9899           1.00000000      0.00000000 1.0000000   0.25000000
## 1850     9900           0.37500000      0.87500000 0.7500000   0.12500000
## 1851     9920           1.00000000      1.00000000 0.5000000   0.00000000
## 1852     9944           1.00000000      1.00000000 1.0000000   1.00000000
## 1853     9991           1.00000000      0.00000000 1.0000000   0.00000000
## 1854     9999           1.00000000      0.29629630 0.6296296   0.11111111
## 1855    10000           0.84482759      0.74137931 0.5862069   0.10344828
## 1856    10005           1.00000000      0.70000000 0.6000000   0.20000000
## 1857    10007           1.00000000      1.00000000 1.0000000   0.00000000
## 1858    10045           1.00000000      1.00000000 1.0000000   0.00000000
## 1859    10075           1.00000000      1.00000000 0.0000000   0.00000000
## 1860    10117           1.00000000      1.00000000 0.4000000   0.00000000
## 1861    10118           1.00000000      1.00000000 0.5714286   0.14285714
## 1862    10119           1.00000000      1.00000000 1.0000000   0.00000000
## 1863    10120           0.00000000      0.00000000 0.0000000   0.00000000
## 1864    10153           1.00000000      1.00000000 0.7500000   0.25000000
## 1865    10200           1.00000000      0.66666667 0.6666667   0.16666667
## 1866    10220           0.00000000      0.00000000 0.6666667   0.33333333
## 1867    10227           1.00000000      0.00000000 0.0000000   0.00000000
## 1868    10250           1.00000000      1.00000000 0.0000000   0.00000000
## 1869    10259           1.00000000      1.00000000 1.0000000   0.00000000
## 1870    10302           1.00000000      0.00000000 0.5000000   0.00000000
## 1871    10324           1.00000000      0.00000000 0.6000000   0.10000000
## 1872    10350           0.85714286      0.57142857 0.7142857   0.14285714
## 1873    10396           1.00000000      1.00000000 0.6666667   0.33333333
## 1874    10399           0.50000000      1.00000000 1.0000000   0.50000000
## 1875    10400           1.00000000      1.00000000 0.0000000   0.00000000
## 1876    10499           1.00000000      1.00000000 0.6666667   0.33333333
## 1877    10500           0.64000000      1.00000000 0.6800000   0.08000000
## 1878    10525           1.00000000      0.00000000 0.6666667   0.00000000
## 1879    10539           1.00000000      1.00000000 1.0000000   1.00000000
## 1880    10600           1.00000000      0.00000000 0.6000000   0.10000000
## 1881    10625           0.00000000      1.00000000 0.0000000   0.00000000
## 1882    10636           1.00000000      1.00000000 0.0000000   0.00000000
## 1883    10694           1.00000000      1.00000000 0.0000000   0.00000000
## 1884    10714           1.00000000      0.00000000 0.5000000   0.25000000
## 1885    10750           1.00000000      1.00000000 0.8000000   0.00000000
## 1886    10774           1.00000000      1.00000000 0.5000000   0.25000000
## 1887    10792           1.00000000      0.00000000 0.0000000   0.00000000
## 1888    10799           1.00000000      0.33333333 0.8333333   0.33333333
## 1889    10800           0.88888889      0.66666667 0.7777778   0.00000000
## 1890    10804           1.00000000      0.00000000 0.6666667   0.16666667
## 1891    10820           1.00000000      1.00000000 1.0000000   0.00000000
## 1892    10883           1.00000000      1.00000000 0.0000000   0.00000000
## 1893    10900           1.00000000      1.00000000 0.5000000   0.00000000
## 1894    10923           1.00000000      1.00000000 0.6000000   0.00000000
## 1895    10999           0.80000000      1.00000000 0.8000000   0.60000000
## 1896    11000           0.78260870      0.78260870 0.5652174   0.13043478
## 1897    11001           1.00000000      1.00000000 0.5000000   0.50000000
## 1898    11010           1.00000000      1.00000000 1.0000000   0.00000000
## 1899    11025           1.00000000      1.00000000 1.0000000   0.00000000
## 1900    11030           1.00000000      1.00000000 1.0000000   0.00000000
## 1901    11037           1.00000000      1.00000000 1.0000000   1.00000000
## 1902    11039           1.00000000      1.00000000 1.0000000   0.00000000
## 1903    11049           1.00000000      1.00000000 1.0000000   0.00000000
## 1904    11050           1.00000000      1.00000000 0.5000000   0.00000000
## 1905    11069           1.00000000      0.00000000 0.6000000   0.20000000
## 1906    11093           1.00000000      0.00000000 1.0000000   1.00000000
## 1907    11099           1.00000000      0.00000000 0.4000000   0.00000000
## 1908    11156           1.00000000      1.00000000 1.0000000   0.00000000
## 1909    11185           1.00000000      1.00000000 1.0000000   0.00000000
## 1910    11199           1.00000000      1.00000000 1.0000000   0.00000000
## 1911    11200           1.00000000      1.00000000 0.5000000   0.00000000
## 1912    11205           0.00000000      1.00000000 1.0000000   1.00000000
## 1913    11220           1.00000000      1.00000000 0.5000000   0.00000000
## 1914    11249           1.00000000      0.00000000 1.0000000   0.00000000
## 1915    11250           0.71428571      0.28571429 0.8571429   0.14285714
## 1916    11331           1.00000000      1.00000000 0.0000000   0.00000000
## 1917    11440           1.00000000      1.00000000 0.5000000   0.00000000
## 1918    11468           1.00000000      1.00000000 0.3333333   0.00000000
## 1919    11475           1.00000000      1.00000000 0.5000000   0.50000000
## 1920    11499           1.00000000      1.00000000 0.6666667   0.00000000
## 1921    11500           0.52173913      1.00000000 0.6521739   0.17391304
## 1922    11554           1.00000000      1.00000000 1.0000000   0.00000000
## 1923    11570           1.00000000      1.00000000 0.7500000   0.25000000
## 1924    11571           1.00000000      1.00000000 0.6666667   0.16666667
## 1925    11591           1.00000000      1.00000000 1.0000000   0.00000000
## 1926    11600           1.00000000      1.00000000 1.0000000   0.00000000
## 1927    11674           1.00000000      0.00000000 0.0000000   0.00000000
## 1928    11690           1.00000000      1.00000000 1.0000000   0.00000000
## 1929    11696           1.00000000      0.00000000 0.0000000   0.00000000
## 1930    11700           1.00000000      1.00000000 1.0000000   0.00000000
## 1931    11772           1.00000000      0.00000000 0.6000000   0.20000000
## 1932    11809           1.00000000      0.00000000 0.6666667   0.33333333
## 1933    11813           1.00000000      1.00000000 1.0000000   1.00000000
## 1934    11850           0.66666667      0.33333333 0.6666667   0.33333333
## 1935    11899           1.00000000      1.00000000 1.0000000   1.00000000
## 1936    11900           1.00000000      0.00000000 1.0000000   0.00000000
## 1937    11921           1.00000000      0.00000000 0.5714286   0.14285714
## 1938    11999           1.00000000      0.40000000 0.6000000   0.26666667
## 1939    12000           0.78571429      0.66071429 0.5714286   0.16071429
## 1940    12027           1.00000000      0.00000000 0.0000000   0.00000000
## 1941    12089           1.00000000      1.00000000 0.0000000   0.00000000
## 1942    12091           1.00000000      0.00000000 0.6666667   0.33333333
## 1943    12134           1.00000000      0.66666667 0.3333333   0.00000000
## 1944    12150           0.88888889      0.33333333 0.5555556   0.11111111
## 1945    12185           1.00000000      0.00000000 1.0000000   0.00000000
## 1946    12199           1.00000000      1.00000000 1.0000000   1.00000000
## 1947    12211           1.00000000      0.00000000 0.7500000   0.25000000
## 1948    12225           1.00000000      1.00000000 1.0000000   0.00000000
## 1949    12252           1.00000000      1.00000000 1.0000000   0.00000000
## 1950    12285           1.00000000      1.00000000 0.5000000   0.00000000
## 1951    12326           1.00000000      1.00000000 0.6666667   0.00000000
## 1952    12350           1.00000000      1.00000000 1.0000000   0.00000000
## 1953    12375           1.00000000      1.00000000 1.0000000   0.00000000
## 1954    12420           0.00000000      0.00000000 0.0000000   0.00000000
## 1955    12442           1.00000000      1.00000000 1.0000000   0.00000000
## 1956    12500           0.88461538      0.88461538 0.6153846   0.15384615
## 1957    12549           1.00000000      1.00000000 0.7500000   0.25000000
## 1958    12554           1.00000000      1.00000000 0.0000000   0.00000000
## 1959    12562           1.00000000      1.00000000 0.0000000   0.00000000
## 1960    12599           1.00000000      0.00000000 1.0000000   1.00000000
## 1961    12600           0.33333333      1.00000000 0.5000000   0.00000000
## 1962    12666           1.00000000      0.00000000 0.7500000   0.25000000
## 1963    12700           1.00000000      1.00000000 0.7500000   0.25000000
## 1964    12750           0.00000000      1.00000000 1.0000000   0.00000000
## 1965    12760           1.00000000      1.00000000 0.0000000   0.00000000
## 1966    12773           1.00000000      1.00000000 0.5000000   0.00000000
## 1967    12864           1.00000000      1.00000000 0.5000000   0.50000000
## 1968    12879           1.00000000      1.00000000 1.0000000   0.00000000
## 1969    12880           1.00000000      1.00000000 0.0000000   0.00000000
## 1970    12882           1.00000000      0.00000000 0.0000000   0.00000000
## 1971    12950           1.00000000      1.00000000 0.0000000   0.00000000
## 1972    13000           0.71428571      1.00000000 0.3571429   0.07142857
## 1973    13242           1.00000000      1.00000000 1.0000000   0.00000000
## 1974    13250           0.50000000      1.00000000 0.5000000   0.50000000
## 1975    13384           1.00000000      0.00000000 0.6666667   0.33333333
## 1976    13400           1.00000000      1.00000000 1.0000000   1.00000000
## 1977    13484           1.00000000      1.00000000 0.5000000   0.00000000
## 1978    13499           1.00000000      1.00000000 1.0000000   0.00000000
## 1979    13500           0.86956522      0.56521739 0.7391304   0.08695652
## 1980    13505           1.00000000      1.00000000 0.5000000   0.50000000
## 1981    13518           1.00000000      0.00000000 0.6666667   0.16666667
## 1982    13533           1.00000000      1.00000000 1.0000000   1.00000000
## 1983    13590           1.00000000      1.00000000 1.0000000   0.00000000
## 1984    13600           1.00000000      0.81250000 0.6875000   0.12500000
## 1985    13613           1.00000000      1.00000000 0.3333333   0.00000000
## 1986    13624           1.00000000      0.00000000 0.5000000   0.00000000
## 1987    13725           1.00000000      1.00000000 1.0000000   0.00000000
## 1988    13800           1.00000000      1.00000000 1.0000000   0.00000000
## 1989    13949           1.00000000      1.00000000 0.6000000   0.20000000
## 1990    13950           1.00000000      1.00000000 1.0000000   0.00000000
## 1991    13999           1.00000000      1.00000000 0.5000000   0.00000000
## 1992    14000           1.00000000      0.90909091 0.5454545   0.27272727
## 1993    14030           1.00000000      1.00000000 1.0000000   0.00000000
## 1994    14357           1.00000000      1.00000000 0.0000000   0.00000000
## 1995    14400           1.00000000      1.00000000 0.0000000   0.00000000
## 1996    14450           1.00000000      1.00000000 0.5000000   0.00000000
## 1997    14476           1.00000000      0.00000000 1.0000000   0.33333333
## 1998    14499           1.00000000      0.00000000 1.0000000   0.00000000
## 1999    14500           0.94117647      1.00000000 0.5294118   0.05882353
## 2000    14725           1.00000000      1.00000000 1.0000000   0.00000000
## 2001    14732           1.00000000      1.00000000 1.0000000   0.00000000
## 2002    14850           1.00000000      1.00000000 0.6250000   0.12500000
## 2003    14875           1.00000000      1.00000000 1.0000000   0.00000000
## 2004    14999           1.00000000      0.50000000 0.5000000   0.50000000
## 2005    15000           1.00000000      1.00000000 0.6190476   0.19047619
## 2006    15010           1.00000000      1.00000000 0.6666667   0.00000000
## 2007    15073           1.00000000      1.00000000 0.7500000   0.25000000
## 2008    15115           1.00000000      0.00000000 0.5000000   0.00000000
## 2009    15138           1.00000000      1.00000000 0.8000000   0.20000000
## 2010    15188           1.00000000      1.00000000 1.0000000   0.00000000
## 2011    15210           1.00000000      0.00000000 0.5714286   0.14285714
## 2012    15300           1.00000000      1.00000000 0.6000000   0.00000000
## 2013    15400           1.00000000      0.00000000 0.0000000   0.00000000
## 2014    15450           1.00000000      1.00000000 1.0000000   0.00000000
## 2015    15464           1.00000000      1.00000000 0.0000000   0.00000000
## 2016    15500           1.00000000      0.38888889 0.6111111   0.22222222
## 2017    15525           1.00000000      1.00000000 0.0000000   0.00000000
## 2018    15750           1.00000000      0.80000000 0.8000000   0.20000000
## 2019    15800           1.00000000      1.00000000 1.0000000   0.00000000
## 2020    15883           1.00000000      1.00000000 1.0000000   1.00000000
## 2021    15998           1.00000000      1.00000000 0.0000000   0.00000000
## 2022    15999           1.00000000      1.00000000 0.0000000   0.00000000
## 2023    16000           0.92857143      1.00000000 0.7142857   0.21428571
## 2024    16261           1.00000000      1.00000000 0.5000000   0.25000000
## 2025    16300           1.00000000      1.00000000 0.5000000   0.00000000
## 2026    16499           1.00000000      1.00000000 0.5000000   0.50000000
## 2027    16500           1.00000000      1.00000000 0.6000000   0.20000000
## 2028    16750           1.00000000      1.00000000 1.0000000   0.33333333
## 2029    16892           1.00000000      1.00000000 1.0000000   0.33333333
## 2030    16954           1.00000000      1.00000000 0.5000000   0.00000000
## 2031    16999           1.00000000      1.00000000 1.0000000   0.00000000
## 2032    17000           1.00000000      0.33333333 0.8333333   0.50000000
## 2033    17099           0.00000000      1.00000000 0.0000000   0.00000000
## 2034    17200           1.00000000      1.00000000 0.3333333   0.00000000
## 2035    17250           1.00000000      1.00000000 1.0000000   0.00000000
## 2036    17280           1.00000000      1.00000000 1.0000000   0.50000000
## 2037    17415           1.00000000      1.00000000 0.0000000   0.00000000
## 2038    17499           1.00000000      1.00000000 1.0000000   0.00000000
## 2039    17500           1.00000000      0.20000000 0.8000000   0.20000000
## 2040    17523           1.00000000      1.00000000 1.0000000   1.00000000
## 2041    17999           1.00000000      0.00000000 0.6000000   0.20000000
## 2042    18000           1.00000000      0.82352941 0.5882353   0.05882353
## 2043    18220           1.00000000      1.00000000 0.5000000   0.50000000
## 2044    18319           1.00000000      1.00000000 1.0000000   0.00000000
## 2045    18450           1.00000000      0.00000000 1.0000000   1.00000000
## 2046    18499           1.00000000      1.00000000 0.6666667   0.33333333
## 2047    18500           0.00000000      1.00000000 1.0000000   1.00000000
## 2048    18525           1.00000000      1.00000000 0.0000000   0.00000000
## 2049    18700           1.00000000      1.00000000 0.6666667   0.33333333
## 2050    18800           1.00000000      1.00000000 1.0000000   1.00000000
## 2051    18847           1.00000000      1.00000000 1.0000000   0.00000000
## 2052    18899           1.00000000      1.00000000 1.0000000   0.50000000
## 2053    18900           1.00000000      0.00000000 1.0000000   0.00000000
## 2054    18947           0.00000000      0.00000000 0.3333333   0.00000000
## 2055    19000           1.00000000      0.66666667 0.6666667   0.11111111
## 2056    19200           1.00000000      1.00000000 0.5000000   0.00000000
## 2057    19350           1.00000000      1.00000000 0.7142857   0.14285714
## 2058    19450           1.00000000      1.00000000 0.0000000   0.00000000
## 2059    19500           1.00000000      1.00000000 1.0000000   0.00000000
## 2060    19759           1.00000000      1.00000000 1.0000000   0.00000000
## 2061    19950           1.00000000      1.00000000 0.5000000   0.25000000
## 2062    19979           1.00000000      1.00000000 0.6000000   0.20000000
## 2063    19999           1.00000000      0.77777778 0.6666667   0.44444444
## 2064    20000           1.00000000      1.00000000 0.6521739   0.17391304
## 2065    20084           1.00000000      1.00000000 0.5714286   0.14285714
## 2066    20224           0.00000000      0.00000000 0.7500000   0.00000000
## 2067    20250           1.00000000      1.00000000 1.0000000   0.00000000
## 2068    20425           1.00000000      1.00000000 0.0000000   0.00000000
## 2069    20444           1.00000000      1.00000000 0.0000000   0.00000000
## 2070    20500           1.00000000      1.00000000 1.0000000   0.50000000
## 2071    20700           1.00000000      1.00000000 1.0000000   0.50000000
## 2072    21000           1.00000000      1.00000000 0.6363636   0.18181818
## 2073    21060           1.00000000      1.00000000 1.0000000   0.00000000
## 2074    21201           1.00000000      1.00000000 1.0000000   0.50000000
## 2075    21499           1.00000000      1.00000000 1.0000000   1.00000000
## 2076    21500           1.00000000      1.00000000 0.6000000   0.20000000
## 2077    21907           1.00000000      1.00000000 0.5000000   0.00000000
## 2078    21999           1.00000000      0.00000000 1.0000000   0.00000000
## 2079    22000           1.00000000      1.00000000 0.7777778   0.33333333
## 2080    22072           1.00000000      1.00000000 0.0000000   0.00000000
## 2081    22325           1.00000000      1.00000000 1.0000000   0.00000000
## 2082    22500           1.00000000      1.00000000 0.8000000   0.20000000
## 2083    22650           1.00000000      0.00000000 0.0000000   0.00000000
## 2084    22689           1.00000000      1.00000000 1.0000000   0.00000000
## 2085    22744           1.00000000      1.00000000 0.5000000   0.50000000
## 2086    22998           1.00000000      1.00000000 1.0000000   1.00000000
## 2087    23000           1.00000000      1.00000000 0.6666667   0.00000000
## 2088    23100           1.00000000      1.00000000 1.0000000   0.00000000
## 2089    23352           1.00000000      1.00000000 0.7500000   0.25000000
## 2090    23400           1.00000000      1.00000000 0.5714286   0.14285714
## 2091    23418           0.00000000      0.00000000 0.5000000   0.00000000
## 2092    24000           1.00000000      1.00000000 0.8750000   0.25000000
## 2093    24205           1.00000000      1.00000000 1.0000000   0.00000000
## 2094    24378           1.00000000      1.00000000 1.0000000   1.00000000
## 2095    24437           1.00000000      1.00000000 0.6000000   0.20000000
## 2096    24500           1.00000000      1.00000000 0.0000000   0.00000000
## 2097    24999           1.00000000      0.00000000 0.5000000   0.25000000
## 2098    25000           1.00000000      1.00000000 0.8181818   0.45454545
## 2099    25200           1.00000000      1.00000000 0.7500000   0.25000000
## 2100    25502           1.00000000      1.00000000 0.0000000   0.00000000
## 2101    26000           1.00000000      1.00000000 1.0000000   0.50000000
## 2102    27000           1.00000000      0.00000000 1.0000000   0.33333333
## 2103    27500           1.00000000      1.00000000 1.0000000   1.00000000
## 2104    28000           1.00000000      1.00000000 1.0000000   1.00000000
## 2105    28235           1.00000000      1.00000000 0.0000000   0.00000000
## 2106    30000           0.60000000      1.00000000 0.8000000   0.20000000
## 2107    30152           1.00000000      1.00000000 0.6666667   0.33333333
## 2108    31200           1.00000000      1.00000000 1.0000000   0.00000000
## 2109    31712           1.00000000      1.00000000 0.6000000   0.00000000
## 2110    32000           1.00000000      1.00000000 0.6000000   0.00000000
## 2111    32500           1.00000000      1.00000000 0.6666667   0.16666667
## 2112    32769           1.00000000      1.00000000 0.5000000   0.00000000
## 2113    33200           1.00000000      1.00000000 0.6666667   0.33333333
## 2114    33500           0.50000000      1.00000000 1.0000000   0.25000000
## 2115    33900           1.00000000      0.00000000 0.0000000   0.00000000
## 2116    34000           1.00000000      1.00000000 0.4000000   0.20000000
## 2117    34500           1.00000000      1.00000000 1.0000000   0.50000000
## 2118    35236           1.00000000      1.00000000 0.6666667   0.33333333
## 2119    35460           1.00000000      1.00000000 1.0000000   0.00000000
## 2120    35530           1.00000000      1.00000000 1.0000000   0.00000000
## 2121    37500           1.00000000      1.00000000 0.0000000   0.00000000
## 2122    37920           1.00000000      1.00000000 1.0000000   0.00000000
## 2123    38000           1.00000000      1.00000000 1.0000000   1.00000000
## 2124    38500           1.00000000      1.00000000 1.0000000   0.00000000
## 2125    39500           1.00000000      1.00000000 0.6666667   0.33333333
## 2126    39805           1.00000000      1.00000000 0.0000000   0.00000000
## 2127    40000           0.00000000      1.00000000 1.0000000   0.33333333
## 2128    41000           1.00000000      1.00000000 1.0000000   1.00000000
## 2129    41850           1.00000000      1.00000000 1.0000000   0.00000000
## 2130    41999           1.00000000      1.00000000 0.0000000   0.00000000
## 2131    43500           1.00000000      1.00000000 1.0000000   1.00000000
## 2132    44000           1.00000000      1.00000000 1.0000000   0.00000000
## 2133    45000           1.00000000      1.00000000 0.5000000   0.50000000
## 2134    45300           1.00000000      1.00000000 0.3333333   0.33333333
## 2135    46000           1.00000000      1.00000000 0.6666667   0.00000000
## 2136    46350           1.00000000      1.00000000 1.0000000   0.00000000
## 2137    46500           1.00000000      1.00000000 0.0000000   0.00000000
## 2138    48000           1.00000000      1.00000000 0.5000000   0.00000000
## 2139    48500           1.00000000      1.00000000 0.5714286   0.14285714
## 2140    50000           1.00000000      1.00000000 0.0000000   0.00000000
## 2141    50280           1.00000000      1.00000000 0.6000000   0.20000000
## 2142    51000           1.00000000      1.00000000 1.0000000   0.00000000
## 2143    51765           1.00000000      1.00000000 0.6000000   0.40000000
## 2144    52000           1.00000000      1.00000000 0.6666667   0.33333333
## 2145    53000           1.00000000      1.00000000 0.3333333   0.33333333
## 2146    53920           1.00000000      1.00000000 1.0000000   0.00000000
## 2147    55000           1.00000000      1.00000000 0.5714286   0.28571429
## 2148    56775           0.00000000      1.00000000 1.0000000   0.00000000
## 2149    67000           1.00000000      1.00000000 0.6000000   0.20000000
## 2150    67400           1.00000000      1.00000000 0.0000000   0.00000000
## 2151    68500           1.00000000      1.00000000 0.5000000   0.25000000
## 2152    71900           1.00000000      1.00000000 0.0000000   0.00000000
## 2153    75000           1.00000000      1.00000000 0.6666667   0.00000000
## 2154   137500           1.00000000      1.00000000 1.0000000   0.00000000
## 2155   161920           1.00000000      1.00000000 0.5000000   0.50000000
## 2156   322500           1.00000000      1.00000000 0.5000000   0.00000000
##       FreeWifi FreeBreakfast
## 1    1.0000000    0.00000000
## 2    1.0000000    0.00000000
## 3    1.0000000    0.00000000
## 4    1.0000000    0.00000000
## 5    1.0000000    0.00000000
## 6    1.0000000    0.00000000
## 7    1.0000000    0.00000000
## 8    1.0000000    1.00000000
## 9    1.0000000    0.00000000
## 10   1.0000000    1.00000000
## 11   1.0000000    1.00000000
## 12   1.0000000    1.00000000
## 13   1.0000000    1.00000000
## 14   1.0000000    0.00000000
## 15   1.0000000    0.00000000
## 16   1.0000000    1.00000000
## 17   1.0000000    1.00000000
## 18   1.0000000    1.00000000
## 19   1.0000000    1.00000000
## 20   1.0000000    1.00000000
## 21   1.0000000    0.00000000
## 22   1.0000000    1.00000000
## 23   0.5000000    0.00000000
## 24   1.0000000    0.00000000
## 25   1.0000000    0.00000000
## 26   1.0000000    0.00000000
## 27   1.0000000    0.75000000
## 28   1.0000000    0.00000000
## 29   1.0000000    1.00000000
## 30   1.0000000    0.00000000
## 31   1.0000000    0.00000000
## 32   1.0000000    0.00000000
## 33   1.0000000    0.00000000
## 34   0.0000000    0.00000000
## 35   1.0000000    1.00000000
## 36   1.0000000    0.50000000
## 37   1.0000000    1.00000000
## 38   1.0000000    0.00000000
## 39   1.0000000    0.00000000
## 40   1.0000000    1.00000000
## 41   0.0000000    0.00000000
## 42   1.0000000    0.00000000
## 43   1.0000000    1.00000000
## 44   1.0000000    0.00000000
## 45   1.0000000    0.00000000
## 46   1.0000000    0.00000000
## 47   1.0000000    0.00000000
## 48   1.0000000    0.00000000
## 49   1.0000000    0.00000000
## 50   1.0000000    0.77777778
## 51   1.0000000    0.00000000
## 52   1.0000000    0.20000000
## 53   1.0000000    1.00000000
## 54   1.0000000    0.00000000
## 55   1.0000000    0.00000000
## 56   1.0000000    1.00000000
## 57   1.0000000    0.00000000
## 58   1.0000000    0.50000000
## 59   1.0000000    1.00000000
## 60   1.0000000    1.00000000
## 61   1.0000000    0.00000000
## 62   1.0000000    1.00000000
## 63   1.0000000    1.00000000
## 64   1.0000000    0.88888889
## 65   1.0000000    1.00000000
## 66   1.0000000    0.00000000
## 67   1.0000000    0.66666667
## 68   1.0000000    0.00000000
## 69   1.0000000    1.00000000
## 70   1.0000000    1.00000000
## 71   1.0000000    1.00000000
## 72   1.0000000    0.00000000
## 73   1.0000000    1.00000000
## 74   1.0000000    0.00000000
## 75   1.0000000    1.00000000
## 76   1.0000000    0.00000000
## 77   1.0000000    0.00000000
## 78   1.0000000    0.00000000
## 79   1.0000000    0.00000000
## 80   1.0000000    1.00000000
## 81   1.0000000    0.00000000
## 82   1.0000000    1.00000000
## 83   1.0000000    1.00000000
## 84   0.6666667    0.66666667
## 85   1.0000000    0.04347826
## 86   1.0000000    0.00000000
## 87   1.0000000    0.00000000
## 88   1.0000000    0.00000000
## 89   1.0000000    0.50000000
## 90   1.0000000    0.00000000
## 91   0.3333333    1.00000000
## 92   1.0000000    1.00000000
## 93   1.0000000    1.00000000
## 94   1.0000000    1.00000000
## 95   1.0000000    1.00000000
## 96   1.0000000    0.50000000
## 97   1.0000000    0.00000000
## 98   1.0000000    1.00000000
## 99   1.0000000    0.00000000
## 100  1.0000000    1.00000000
## 101  1.0000000    1.00000000
## 102  1.0000000    0.00000000
## 103  0.2500000    0.25000000
## 104  1.0000000    1.00000000
## 105  1.0000000    1.00000000
## 106  1.0000000    0.00000000
## 107  1.0000000    1.00000000
## 108  1.0000000    0.00000000
## 109  1.0000000    1.00000000
## 110  1.0000000    1.00000000
## 111  1.0000000    1.00000000
## 112  0.7777778    0.33333333
## 113  1.0000000    0.00000000
## 114  1.0000000    0.00000000
## 115  1.0000000    1.00000000
## 116  1.0000000    0.00000000
## 117  1.0000000    0.00000000
## 118  1.0000000    0.46153846
## 119  1.0000000    1.00000000
## 120  1.0000000    1.00000000
## 121  1.0000000    0.54545455
## 122  1.0000000    1.00000000
## 123  1.0000000    1.00000000
## 124  1.0000000    1.00000000
## 125  1.0000000    1.00000000
## 126  0.0000000    0.00000000
## 127  1.0000000    0.00000000
## 128  1.0000000    1.00000000
## 129  1.0000000    0.00000000
## 130  1.0000000    1.00000000
## 131  1.0000000    1.00000000
## 132  1.0000000    0.78125000
## 133  1.0000000    0.50000000
## 134  1.0000000    1.00000000
## 135  1.0000000    0.00000000
## 136  1.0000000    1.00000000
## 137  1.0000000    0.50000000
## 138  1.0000000    1.00000000
## 139  1.0000000    0.00000000
## 140  1.0000000    0.00000000
## 141  1.0000000    0.00000000
## 142  1.0000000    1.00000000
## 143  1.0000000    0.00000000
## 144  1.0000000    0.00000000
## 145  1.0000000    1.00000000
## 146  0.0000000    1.00000000
## 147  1.0000000    0.50000000
## 148  1.0000000    0.00000000
## 149  1.0000000    1.00000000
## 150  1.0000000    1.00000000
## 151  1.0000000    1.00000000
## 152  1.0000000    1.00000000
## 153  1.0000000    1.00000000
## 154  1.0000000    0.00000000
## 155  1.0000000    0.92307692
## 156  1.0000000    0.00000000
## 157  1.0000000    0.00000000
## 158  1.0000000    0.00000000
## 159  1.0000000    1.00000000
## 160  1.0000000    0.00000000
## 161  0.0000000    1.00000000
## 162  1.0000000    1.00000000
## 163  1.0000000    1.00000000
## 164  1.0000000    1.00000000
## 165  1.0000000    0.00000000
## 166  1.0000000    0.00000000
## 167  1.0000000    0.00000000
## 168  1.0000000    1.00000000
## 169  1.0000000    0.82142857
## 170  1.0000000    0.40000000
## 171  1.0000000    0.00000000
## 172  1.0000000    1.00000000
## 173  1.0000000    1.00000000
## 174  1.0000000    1.00000000
## 175  1.0000000    0.00000000
## 176  1.0000000    0.34375000
## 177  1.0000000    0.57142857
## 178  1.0000000    0.00000000
## 179  1.0000000    0.00000000
## 180  1.0000000    1.00000000
## 181  1.0000000    0.00000000
## 182  1.0000000    1.00000000
## 183  1.0000000    0.50000000
## 184  1.0000000    0.00000000
## 185  1.0000000    0.00000000
## 186  1.0000000    1.00000000
## 187  1.0000000    1.00000000
## 188  1.0000000    1.00000000
## 189  1.0000000    1.00000000
## 190  1.0000000    1.00000000
## 191  1.0000000    1.00000000
## 192  1.0000000    1.00000000
## 193  1.0000000    0.66666667
## 194  1.0000000    1.00000000
## 195  1.0000000    0.00000000
## 196  1.0000000    0.00000000
## 197  1.0000000    0.00000000
## 198  1.0000000    1.00000000
## 199  1.0000000    0.75000000
## 200  1.0000000    1.00000000
## 201  0.8333333    0.40000000
## 202  1.0000000    1.00000000
## 203  1.0000000    1.00000000
## 204  1.0000000    1.00000000
## 205  1.0000000    0.00000000
## 206  1.0000000    0.00000000
## 207  1.0000000    1.00000000
## 208  1.0000000    0.66666667
## 209  1.0000000    0.25000000
## 210  1.0000000    0.55555556
## 211  1.0000000    0.00000000
## 212  1.0000000    1.00000000
## 213  1.0000000    0.33333333
## 214  1.0000000    0.00000000
## 215  1.0000000    1.00000000
## 216  1.0000000    0.96969697
## 217  1.0000000    0.50000000
## 218  1.0000000    1.00000000
## 219  0.0000000    1.00000000
## 220  1.0000000    0.00000000
## 221  1.0000000    1.00000000
## 222  1.0000000    1.00000000
## 223  1.0000000    1.00000000
## 224  1.0000000    1.00000000
## 225  1.0000000    1.00000000
## 226  1.0000000    0.00000000
## 227  1.0000000    1.00000000
## 228  1.0000000    1.00000000
## 229  1.0000000    0.33333333
## 230  0.8181818    0.00000000
## 231  1.0000000    0.00000000
## 232  1.0000000    1.00000000
## 233  1.0000000    1.00000000
## 234  1.0000000    1.00000000
## 235  1.0000000    1.00000000
## 236  1.0000000    0.77500000
## 237  1.0000000    1.00000000
## 238  1.0000000    0.00000000
## 239  1.0000000    1.00000000
## 240  1.0000000    0.00000000
## 241  1.0000000    1.00000000
## 242  1.0000000    1.00000000
## 243  1.0000000    0.20000000
## 244  1.0000000    1.00000000
## 245  1.0000000    1.00000000
## 246  1.0000000    1.00000000
## 247  1.0000000    1.00000000
## 248  1.0000000    0.77777778
## 249  1.0000000    0.03030303
## 250  1.0000000    0.85416667
## 251  1.0000000    0.00000000
## 252  1.0000000    1.00000000
## 253  1.0000000    1.00000000
## 254  1.0000000    1.00000000
## 255  1.0000000    1.00000000
## 256  1.0000000    0.36363636
## 257  1.0000000    1.00000000
## 258  1.0000000    1.00000000
## 259  1.0000000    1.00000000
## 260  1.0000000    1.00000000
## 261  1.0000000    1.00000000
## 262  1.0000000    0.20000000
## 263  1.0000000    1.00000000
## 264  1.0000000    0.50000000
## 265  1.0000000    1.00000000
## 266  1.0000000    0.64102564
## 267  1.0000000    0.00000000
## 268  1.0000000    1.00000000
## 269  1.0000000    0.00000000
## 270  1.0000000    0.77777778
## 271  1.0000000    1.00000000
## 272  1.0000000    1.00000000
## 273  1.0000000    1.00000000
## 274  1.0000000    1.00000000
## 275  1.0000000    0.00000000
## 276  1.0000000    0.75000000
## 277  1.0000000    0.00000000
## 278  1.0000000    0.45454545
## 279  1.0000000    1.00000000
## 280  1.0000000    1.00000000
## 281  1.0000000    1.00000000
## 282  1.0000000    0.00000000
## 283  1.0000000    1.00000000
## 284  1.0000000    1.00000000
## 285  1.0000000    0.81481481
## 286  1.0000000    0.83333333
## 287  1.0000000    0.42857143
## 288  0.7000000    0.67500000
## 289  1.0000000    1.00000000
## 290  1.0000000    1.00000000
## 291  1.0000000    0.00000000
## 292  1.0000000    1.00000000
## 293  1.0000000    1.00000000
## 294  1.0000000    1.00000000
## 295  0.0000000    0.00000000
## 296  1.0000000    0.00000000
## 297  1.0000000    1.00000000
## 298  1.0000000    1.00000000
## 299  1.0000000    1.00000000
## 300  1.0000000    0.00000000
## 301  0.9756098    0.97560976
## 302  1.0000000    0.75000000
## 303  1.0000000    1.00000000
## 304  1.0000000    0.00000000
## 305  1.0000000    0.00000000
## 306  1.0000000    1.00000000
## 307  1.0000000    0.00000000
## 308  1.0000000    1.00000000
## 309  1.0000000    1.00000000
## 310  1.0000000    1.00000000
## 311  1.0000000    1.00000000
## 312  1.0000000    1.00000000
## 313  1.0000000    1.00000000
## 314  1.0000000    1.00000000
## 315  1.0000000    1.00000000
## 316  1.0000000    1.00000000
## 317  1.0000000    1.00000000
## 318  1.0000000    1.00000000
## 319  1.0000000    0.00000000
## 320  1.0000000    0.88888889
## 321  1.0000000    0.00000000
## 322  0.1111111    0.11111111
## 323  1.0000000    1.00000000
## 324  1.0000000    1.00000000
## 325  1.0000000    1.00000000
## 326  1.0000000    0.00000000
## 327  1.0000000    0.00000000
## 328  1.0000000    1.00000000
## 329  1.0000000    1.00000000
## 330  1.0000000    0.00000000
## 331  1.0000000    0.87096774
## 332  1.0000000    0.70000000
## 333  0.0000000    0.00000000
## 334  1.0000000    1.00000000
## 335  1.0000000    1.00000000
## 336  1.0000000    0.83333333
## 337  1.0000000    1.00000000
## 338  1.0000000    1.00000000
## 339  1.0000000    1.00000000
## 340  1.0000000    1.00000000
## 341  1.0000000    0.00000000
## 342  1.0000000    1.00000000
## 343  1.0000000    1.00000000
## 344  1.0000000    0.12500000
## 345  1.0000000    0.00000000
## 346  1.0000000    1.00000000
## 347  1.0000000    1.00000000
## 348  1.0000000    1.00000000
## 349  1.0000000    1.00000000
## 350  1.0000000    1.00000000
## 351  1.0000000    1.00000000
## 352  1.0000000    0.00000000
## 353  1.0000000    0.77272727
## 354  1.0000000    0.28571429
## 355  1.0000000    0.00000000
## 356  1.0000000    1.00000000
## 357  1.0000000    0.00000000
## 358  1.0000000    0.78571429
## 359  1.0000000    0.00000000
## 360  1.0000000    1.00000000
## 361  1.0000000    1.00000000
## 362  1.0000000    1.00000000
## 363  1.0000000    0.00000000
## 364  1.0000000    0.42857143
## 365  0.6666667    0.66666667
## 366  1.0000000    1.00000000
## 367  1.0000000    0.00000000
## 368  1.0000000    0.00000000
## 369  1.0000000    1.00000000
## 370  1.0000000    0.00000000
## 371  0.6666667    0.00000000
## 372  1.0000000    1.00000000
## 373  1.0000000    0.56521739
## 374  0.9250000    0.72500000
## 375  1.0000000    1.00000000
## 376  1.0000000    0.00000000
## 377  1.0000000    1.00000000
## 378  1.0000000    1.00000000
## 379  1.0000000    1.00000000
## 380  1.0000000    0.33333333
## 381  1.0000000    1.00000000
## 382  1.0000000    1.00000000
## 383  1.0000000    1.00000000
## 384  1.0000000    0.14285714
## 385  1.0000000    0.00000000
## 386  1.0000000    1.00000000
## 387  1.0000000    1.00000000
## 388  0.0000000    0.00000000
## 389  1.0000000    0.00000000
## 390  1.0000000    1.00000000
## 391  1.0000000    0.33333333
## 392  1.0000000    0.86363636
## 393  1.0000000    0.00000000
## 394  1.0000000    0.20000000
## 395  1.0000000    1.00000000
## 396  1.0000000    1.00000000
## 397  1.0000000    1.00000000
## 398  1.0000000    1.00000000
## 399  1.0000000    1.00000000
## 400  1.0000000    1.00000000
## 401  1.0000000    0.00000000
## 402  1.0000000    0.81818182
## 403  1.0000000    1.00000000
## 404  1.0000000    0.33333333
## 405  1.0000000    0.25000000
## 406  1.0000000    0.00000000
## 407  1.0000000    0.00000000
## 408  1.0000000    0.00000000
## 409  1.0000000    0.00000000
## 410  1.0000000    0.00000000
## 411  1.0000000    1.00000000
## 412  1.0000000    0.00000000
## 413  1.0000000    0.83870968
## 414  1.0000000    1.00000000
## 415  0.0000000    0.00000000
## 416  0.0000000    0.00000000
## 417  1.0000000    1.00000000
## 418  1.0000000    1.00000000
## 419  1.0000000    0.73684211
## 420  1.0000000    1.00000000
## 421  0.0000000    0.00000000
## 422  0.4000000    0.40000000
## 423  1.0000000    1.00000000
## 424  1.0000000    1.00000000
## 425  1.0000000    0.50000000
## 426  1.0000000    1.00000000
## 427  1.0000000    0.00000000
## 428  1.0000000    1.00000000
## 429  0.9130435    0.86956522
## 430  1.0000000    1.00000000
## 431  1.0000000    1.00000000
## 432  1.0000000    1.00000000
## 433  1.0000000    1.00000000
## 434  1.0000000    0.00000000
## 435  1.0000000    1.00000000
## 436  1.0000000    0.00000000
## 437  0.6666667    0.06666667
## 438  1.0000000    1.00000000
## 439  1.0000000    0.00000000
## 440  1.0000000    1.00000000
## 441  1.0000000    0.00000000
## 442  1.0000000    1.00000000
## 443  1.0000000    1.00000000
## 444  1.0000000    1.00000000
## 445  0.4285714    0.42857143
## 446  1.0000000    0.00000000
## 447  0.9375000    0.93750000
## 448  1.0000000    1.00000000
## 449  1.0000000    1.00000000
## 450  1.0000000    0.33333333
## 451  1.0000000    0.00000000
## 452  1.0000000    0.88888889
## 453  1.0000000    1.00000000
## 454  1.0000000    0.00000000
## 455  1.0000000    1.00000000
## 456  1.0000000    1.00000000
## 457  1.0000000    0.51724138
## 458  0.9056604    0.66037736
## 459  1.0000000    1.00000000
## 460  1.0000000    0.00000000
## 461  1.0000000    1.00000000
## 462  0.8936170    0.72340426
## 463  1.0000000    1.00000000
## 464  1.0000000    1.00000000
## 465  1.0000000    0.00000000
## 466  1.0000000    0.70000000
## 467  1.0000000    1.00000000
## 468  1.0000000    1.00000000
## 469  1.0000000    0.00000000
## 470  1.0000000    1.00000000
## 471  1.0000000    0.00000000
## 472  1.0000000    0.40000000
## 473  1.0000000    0.03030303
## 474  1.0000000    0.30000000
## 475  1.0000000    1.00000000
## 476  1.0000000    0.95555556
## 477  0.0000000    0.00000000
## 478  1.0000000    1.00000000
## 479  1.0000000    1.00000000
## 480  1.0000000    0.66666667
## 481  1.0000000    1.00000000
## 482  1.0000000    1.00000000
## 483  1.0000000    0.00000000
## 484  1.0000000    0.00000000
## 485  1.0000000    0.00000000
## 486  1.0000000    0.00000000
## 487  1.0000000    0.00000000
## 488  1.0000000    1.00000000
## 489  1.0000000    0.57142857
## 490  0.8181818    0.68181818
## 491  1.0000000    0.00000000
## 492  1.0000000    1.00000000
## 493  1.0000000    1.00000000
## 494  1.0000000    1.00000000
## 495  1.0000000    1.00000000
## 496  1.0000000    1.00000000
## 497  1.0000000    1.00000000
## 498  1.0000000    0.00000000
## 499  0.0000000    0.00000000
## 500  1.0000000    1.00000000
## 501  1.0000000    0.00000000
## 502  1.0000000    0.00000000
## 503  0.9655172    0.82758621
## 504  1.0000000    1.00000000
## 505  1.0000000    1.00000000
## 506  0.8333333    0.91666667
## 507  1.0000000    1.00000000
## 508  1.0000000    0.00000000
## 509  1.0000000    1.00000000
## 510  1.0000000    1.00000000
## 511  1.0000000    1.00000000
## 512  1.0000000    1.00000000
## 513  1.0000000    0.60000000
## 514  1.0000000    1.00000000
## 515  1.0000000    0.00000000
## 516  1.0000000    1.00000000
## 517  1.0000000    1.00000000
## 518  0.8000000    1.00000000
## 519  1.0000000    1.00000000
## 520  0.8275862    0.82758621
## 521  1.0000000    0.00000000
## 522  1.0000000    1.00000000
## 523  1.0000000    1.00000000
## 524  1.0000000    1.00000000
## 525  1.0000000    1.00000000
## 526  1.0000000    0.50000000
## 527  1.0000000    0.37931034
## 528  1.0000000    0.00000000
## 529  0.0000000    0.00000000
## 530  1.0000000    1.00000000
## 531  1.0000000    1.00000000
## 532  1.0000000    1.00000000
## 533  1.0000000    0.00000000
## 534  1.0000000    1.00000000
## 535  1.0000000    0.82500000
## 536  1.0000000    1.00000000
## 537  1.0000000    1.00000000
## 538  0.6666667    0.00000000
## 539  1.0000000    0.50000000
## 540  1.0000000    1.00000000
## 541  1.0000000    0.75000000
## 542  0.2500000    1.00000000
## 543  1.0000000    0.00000000
## 544  1.0000000    1.00000000
## 545  1.0000000    0.00000000
## 546  1.0000000    1.00000000
## 547  1.0000000    0.66666667
## 548  1.0000000    1.00000000
## 549  1.0000000    0.00000000
## 550  1.0000000    0.00000000
## 551  1.0000000    1.00000000
## 552  1.0000000    1.00000000
## 553  0.9000000    0.90000000
## 554  1.0000000    1.00000000
## 555  1.0000000    1.00000000
## 556  1.0000000    1.00000000
## 557  1.0000000    1.00000000
## 558  0.4000000    0.60000000
## 559  1.0000000    0.00000000
## 560  1.0000000    0.12500000
## 561  1.0000000    1.00000000
## 562  1.0000000    0.25000000
## 563  1.0000000    1.00000000
## 564  0.0000000    0.00000000
## 565  1.0000000    0.00000000
## 566  0.0000000    0.00000000
## 567  0.8139535    0.58139535
## 568  0.9101124    0.55056180
## 569  1.0000000    0.66666667
## 570  0.9230769    0.46153846
## 571  1.0000000    1.00000000
## 572  0.8000000    0.15000000
## 573  1.0000000    0.00000000
## 574  1.0000000    0.33333333
## 575  0.7500000    0.75000000
## 576  1.0000000    1.00000000
## 577  1.0000000    0.00000000
## 578  0.0000000    0.00000000
## 579  0.0000000    0.00000000
## 580  1.0000000    1.00000000
## 581  1.0000000    0.00000000
## 582  1.0000000    0.00000000
## 583  1.0000000    1.00000000
## 584  1.0000000    0.00000000
## 585  1.0000000    0.83333333
## 586  1.0000000    1.00000000
## 587  1.0000000    0.95652174
## 588  1.0000000    0.83333333
## 589  1.0000000    0.00000000
## 590  0.0000000    0.00000000
## 591  1.0000000    1.00000000
## 592  1.0000000    1.00000000
## 593  1.0000000    1.00000000
## 594  1.0000000    1.00000000
## 595  1.0000000    1.00000000
## 596  1.0000000    0.00000000
## 597  1.0000000    0.00000000
## 598  1.0000000    0.83333333
## 599  1.0000000    1.00000000
## 600  1.0000000    0.40000000
## 601  1.0000000    0.28205128
## 602  1.0000000    1.00000000
## 603  1.0000000    0.75000000
## 604  1.0000000    1.00000000
## 605  1.0000000    1.00000000
## 606  0.0000000    0.00000000
## 607  1.0000000    1.00000000
## 608  1.0000000    1.00000000
## 609  1.0000000    0.33333333
## 610  1.0000000    0.00000000
## 611  1.0000000    1.00000000
## 612  1.0000000    0.60000000
## 613  1.0000000    0.00000000
## 614  1.0000000    0.66666667
## 615  1.0000000    0.84615385
## 616  1.0000000    1.00000000
## 617  1.0000000    1.00000000
## 618  0.0000000    1.00000000
## 619  1.0000000    1.00000000
## 620  1.0000000    0.00000000
## 621  0.0000000    0.00000000
## 622  1.0000000    1.00000000
## 623  1.0000000    1.00000000
## 624  1.0000000    1.00000000
## 625  1.0000000    0.00000000
## 626  1.0000000    1.00000000
## 627  1.0000000    1.00000000
## 628  1.0000000    1.00000000
## 629  1.0000000    0.00000000
## 630  1.0000000    1.00000000
## 631  1.0000000    0.00000000
## 632  1.0000000    0.50000000
## 633  0.0000000    0.00000000
## 634  1.0000000    0.23529412
## 635  0.9090909    0.81818182
## 636  1.0000000    0.33333333
## 637  1.0000000    1.00000000
## 638  1.0000000    1.00000000
## 639  0.2222222    1.00000000
## 640  1.0000000    1.00000000
## 641  1.0000000    0.66666667
## 642  1.0000000    0.44444444
## 643  1.0000000    0.55555556
## 644  1.0000000    0.00000000
## 645  1.0000000    1.00000000
## 646  1.0000000    0.00000000
## 647  1.0000000    1.00000000
## 648  1.0000000    1.00000000
## 649  1.0000000    0.00000000
## 650  1.0000000    1.00000000
## 651  1.0000000    0.00000000
## 652  1.0000000    0.80000000
## 653  1.0000000    1.00000000
## 654  0.0000000    0.00000000
## 655  1.0000000    1.00000000
## 656  1.0000000    0.00000000
## 657  1.0000000    0.77777778
## 658  1.0000000    0.00000000
## 659  1.0000000    1.00000000
## 660  0.0000000    0.00000000
## 661  0.4444444    1.00000000
## 662  1.0000000    0.00000000
## 663  1.0000000    0.00000000
## 664  1.0000000    1.00000000
## 665  1.0000000    0.68421053
## 666  1.0000000    0.61111111
## 667  1.0000000    0.28571429
## 668  1.0000000    1.00000000
## 669  1.0000000    0.52631579
## 670  1.0000000    0.00000000
## 671  1.0000000    1.00000000
## 672  1.0000000    1.00000000
## 673  1.0000000    1.00000000
## 674  1.0000000    0.00000000
## 675  1.0000000    1.00000000
## 676  1.0000000    0.00000000
## 677  1.0000000    1.00000000
## 678  1.0000000    1.00000000
## 679  1.0000000    1.00000000
## 680  1.0000000    0.00000000
## 681  1.0000000    0.00000000
## 682  1.0000000    0.69230769
## 683  0.8181818    0.45454545
## 684  0.0000000    0.00000000
## 685  1.0000000    0.00000000
## 686  1.0000000    1.00000000
## 687  1.0000000    0.00000000
## 688  0.5000000    0.50000000
## 689  1.0000000    0.00000000
## 690  1.0000000    1.00000000
## 691  1.0000000    0.72727273
## 692  1.0000000    1.00000000
## 693  1.0000000    1.00000000
## 694  1.0000000    1.00000000
## 695  1.0000000    0.63636364
## 696  1.0000000    1.00000000
## 697  1.0000000    0.29411765
## 698  0.8695652    0.65217391
## 699  1.0000000    0.00000000
## 700  1.0000000    1.00000000
## 701  1.0000000    0.00000000
## 702  1.0000000    1.00000000
## 703  1.0000000    1.00000000
## 704  1.0000000    0.00000000
## 705  1.0000000    0.46666667
## 706  1.0000000    1.00000000
## 707  1.0000000    0.00000000
## 708  1.0000000    0.00000000
## 709  1.0000000    1.00000000
## 710  1.0000000    1.00000000
## 711  1.0000000    1.00000000
## 712  1.0000000    0.00000000
## 713  0.5000000    0.25000000
## 714  1.0000000    1.00000000
## 715  1.0000000    0.00000000
## 716  1.0000000    0.46153846
## 717  1.0000000    1.00000000
## 718  0.0000000    0.00000000
## 719  1.0000000    1.00000000
## 720  1.0000000    0.00000000
## 721  1.0000000    1.00000000
## 722  0.7777778    0.77777778
## 723  1.0000000    0.00000000
## 724  1.0000000    0.35294118
## 725  1.0000000    1.00000000
## 726  1.0000000    1.00000000
## 727  1.0000000    0.00000000
## 728  1.0000000    1.00000000
## 729  1.0000000    1.00000000
## 730  1.0000000    0.58333333
## 731  0.9731544    0.67114094
## 732  0.0000000    1.00000000
## 733  0.0000000    0.00000000
## 734  0.6470588    0.64705882
## 735  1.0000000    1.00000000
## 736  1.0000000    0.71428571
## 737  1.0000000    0.00000000
## 738  1.0000000    1.00000000
## 739  1.0000000    0.50000000
## 740  0.0000000    0.00000000
## 741  0.0000000    0.00000000
## 742  1.0000000    1.00000000
## 743  1.0000000    1.00000000
## 744  1.0000000    0.61538462
## 745  1.0000000    1.00000000
## 746  1.0000000    1.00000000
## 747  1.0000000    1.00000000
## 748  1.0000000    0.40000000
## 749  1.0000000    1.00000000
## 750  1.0000000    0.14285714
## 751  1.0000000    1.00000000
## 752  0.5000000    0.50000000
## 753  1.0000000    1.00000000
## 754  0.8666667    0.40000000
## 755  1.0000000    1.00000000
## 756  0.6666667    0.66666667
## 757  1.0000000    0.30769231
## 758  1.0000000    1.00000000
## 759  1.0000000    1.00000000
## 760  0.7812500    0.78125000
## 761  0.0000000    0.00000000
## 762  1.0000000    0.80000000
## 763  1.0000000    0.00000000
## 764  1.0000000    1.00000000
## 765  1.0000000    0.20000000
## 766  1.0000000    1.00000000
## 767  1.0000000    1.00000000
## 768  1.0000000    1.00000000
## 769  1.0000000    1.00000000
## 770  1.0000000    1.00000000
## 771  1.0000000    1.00000000
## 772  1.0000000    0.33333333
## 773  1.0000000    1.00000000
## 774  1.0000000    0.63636364
## 775  1.0000000    0.80000000
## 776  1.0000000    1.00000000
## 777  1.0000000    1.00000000
## 778  1.0000000    1.00000000
## 779  1.0000000    0.00000000
## 780  1.0000000    1.00000000
## 781  1.0000000    1.00000000
## 782  1.0000000    0.00000000
## 783  0.0000000    1.00000000
## 784  1.0000000    1.00000000
## 785  1.0000000    0.00000000
## 786  1.0000000    1.00000000
## 787  0.5000000    0.42857143
## 788  1.0000000    0.71428571
## 789  1.0000000    0.42857143
## 790  1.0000000    0.27272727
## 791  1.0000000    1.00000000
## 792  1.0000000    1.00000000
## 793  1.0000000    1.00000000
## 794  0.7500000    0.75000000
## 795  1.0000000    1.00000000
## 796  1.0000000    1.00000000
## 797  1.0000000    1.00000000
## 798  0.9565217    0.65217391
## 799  1.0000000    0.00000000
## 800  1.0000000    0.62500000
## 801  1.0000000    0.75000000
## 802  1.0000000    0.00000000
## 803  0.4000000    0.40000000
## 804  1.0000000    0.77777778
## 805  1.0000000    0.92307692
## 806  1.0000000    0.00000000
## 807  1.0000000    0.00000000
## 808  1.0000000    1.00000000
## 809  1.0000000    1.00000000
## 810  0.6666667    1.00000000
## 811  1.0000000    0.73076923
## 812  1.0000000    0.48648649
## 813  1.0000000    0.46153846
## 814  1.0000000    1.00000000
## 815  1.0000000    1.00000000
## 816  0.5000000    0.35714286
## 817  1.0000000    1.00000000
## 818  1.0000000    0.00000000
## 819  1.0000000    0.00000000
## 820  1.0000000    1.00000000
## 821  1.0000000    0.00000000
## 822  1.0000000    1.00000000
## 823  1.0000000    0.00000000
## 824  1.0000000    0.00000000
## 825  1.0000000    0.00000000
## 826  1.0000000    1.00000000
## 827  1.0000000    1.00000000
## 828  1.0000000    1.00000000
## 829  1.0000000    1.00000000
## 830  1.0000000    1.00000000
## 831  1.0000000    1.00000000
## 832  1.0000000    1.00000000
## 833  1.0000000    0.00000000
## 834  1.0000000    0.61111111
## 835  0.9285714    0.78571429
## 836  1.0000000    1.00000000
## 837  1.0000000    0.66666667
## 838  1.0000000    0.80000000
## 839  1.0000000    1.00000000
## 840  1.0000000    0.08333333
## 841  1.0000000    0.00000000
## 842  1.0000000    1.00000000
## 843  1.0000000    0.00000000
## 844  0.0000000    0.00000000
## 845  1.0000000    0.71428571
## 846  1.0000000    1.00000000
## 847  1.0000000    0.33333333
## 848  1.0000000    1.00000000
## 849  1.0000000    1.00000000
## 850  1.0000000    1.00000000
## 851  0.8888889    1.00000000
## 852  1.0000000    1.00000000
## 853  1.0000000    0.75000000
## 854  1.0000000    1.00000000
## 855  1.0000000    1.00000000
## 856  1.0000000    1.00000000
## 857  1.0000000    1.00000000
## 858  1.0000000    0.00000000
## 859  1.0000000    1.00000000
## 860  1.0000000    0.00000000
## 861  1.0000000    1.00000000
## 862  1.0000000    0.42857143
## 863  1.0000000    0.00000000
## 864  1.0000000    0.73684211
## 865  0.8771930    0.61403509
## 866  1.0000000    1.00000000
## 867  1.0000000    0.53846154
## 868  1.0000000    0.00000000
## 869  1.0000000    0.00000000
## 870  1.0000000    1.00000000
## 871  1.0000000    1.00000000
## 872  1.0000000    1.00000000
## 873  1.0000000    1.00000000
## 874  1.0000000    0.00000000
## 875  0.7307692    1.00000000
## 876  1.0000000    1.00000000
## 877  1.0000000    1.00000000
## 878  1.0000000    1.00000000
## 879  0.0000000    1.00000000
## 880  1.0000000    1.00000000
## 881  1.0000000    1.00000000
## 882  1.0000000    0.00000000
## 883  1.0000000    1.00000000
## 884  1.0000000    1.00000000
## 885  0.5000000    0.50000000
## 886  1.0000000    1.00000000
## 887  1.0000000    1.00000000
## 888  1.0000000    0.45454545
## 889  0.0000000    1.00000000
## 890  1.0000000    1.00000000
## 891  1.0000000    0.00000000
## 892  1.0000000    0.00000000
## 893  0.8571429    0.50000000
## 894  0.8292683    0.60975610
## 895  0.0000000    0.00000000
## 896  1.0000000    1.00000000
## 897  1.0000000    1.00000000
## 898  1.0000000    1.00000000
## 899  1.0000000    0.66666667
## 900  1.0000000    0.00000000
## 901  1.0000000    0.00000000
## 902  1.0000000    1.00000000
## 903  1.0000000    0.40000000
## 904  1.0000000    1.00000000
## 905  1.0000000    0.00000000
## 906  1.0000000    1.00000000
## 907  1.0000000    0.00000000
## 908  1.0000000    1.00000000
## 909  0.6666667    0.66666667
## 910  1.0000000    1.00000000
## 911  1.0000000    1.00000000
## 912  1.0000000    0.00000000
## 913  1.0000000    0.00000000
## 914  1.0000000    1.00000000
## 915  1.0000000    1.00000000
## 916  0.0000000    0.00000000
## 917  1.0000000    1.00000000
## 918  1.0000000    1.00000000
## 919  1.0000000    1.00000000
## 920  1.0000000    0.00000000
## 921  1.0000000    1.00000000
## 922  1.0000000    0.00000000
## 923  1.0000000    1.00000000
## 924  1.0000000    0.00000000
## 925  1.0000000    0.00000000
## 926  0.7142857    0.28571429
## 927  0.5714286    0.35714286
## 928  1.0000000    1.00000000
## 929  1.0000000    1.00000000
## 930  1.0000000    1.00000000
## 931  1.0000000    1.00000000
## 932  1.0000000    1.00000000
## 933  1.0000000    1.00000000
## 934  1.0000000    0.83333333
## 935  1.0000000    1.00000000
## 936  1.0000000    0.00000000
## 937  1.0000000    0.00000000
## 938  1.0000000    0.00000000
## 939  1.0000000    0.20000000
## 940  1.0000000    0.83333333
## 941  1.0000000    0.00000000
## 942  1.0000000    1.00000000
## 943  1.0000000    1.00000000
## 944  1.0000000    1.00000000
## 945  1.0000000    0.00000000
## 946  1.0000000    0.00000000
## 947  1.0000000    1.00000000
## 948  1.0000000    0.00000000
## 949  1.0000000    0.50000000
## 950  1.0000000    1.00000000
## 951  1.0000000    0.80000000
## 952  1.0000000    1.00000000
## 953  1.0000000    1.00000000
## 954  1.0000000    0.00000000
## 955  1.0000000    0.71428571
## 956  1.0000000    0.97368421
## 957  1.0000000    1.00000000
## 958  1.0000000    1.00000000
## 959  1.0000000    0.00000000
## 960  1.0000000    1.00000000
## 961  1.0000000    1.00000000
## 962  0.0000000    0.00000000
## 963  1.0000000    1.00000000
## 964  1.0000000    0.90909091
## 965  1.0000000    1.00000000
## 966  1.0000000    1.00000000
## 967  0.8461538    1.00000000
## 968  1.0000000    1.00000000
## 969  1.0000000    1.00000000
## 970  0.5714286    0.57142857
## 971  0.0000000    1.00000000
## 972  1.0000000    1.00000000
## 973  0.6363636    0.72727273
## 974  1.0000000    0.00000000
## 975  1.0000000    1.00000000
## 976  1.0000000    1.00000000
## 977  1.0000000    1.00000000
## 978  1.0000000    1.00000000
## 979  1.0000000    1.00000000
## 980  1.0000000    1.00000000
## 981  1.0000000    0.60000000
## 982  1.0000000    1.00000000
## 983  1.0000000    1.00000000
## 984  1.0000000    1.00000000
## 985  1.0000000    1.00000000
## 986  0.9090909    1.00000000
## 987  1.0000000    1.00000000
## 988  1.0000000    1.00000000
## 989  1.0000000    1.00000000
## 990  1.0000000    0.00000000
## 991  1.0000000    1.00000000
## 992  1.0000000    1.00000000
## 993  1.0000000    0.00000000
## 994  1.0000000    0.75000000
## 995  1.0000000    0.00000000
## 996  1.0000000    1.00000000
## 997  1.0000000    1.00000000
## 998  1.0000000    0.16666667
## 999  1.0000000    1.00000000
## 1000 1.0000000    1.00000000
## 1001 1.0000000    1.00000000
## 1002 1.0000000    1.00000000
## 1003 1.0000000    1.00000000
## 1004 0.5000000    0.50000000
## 1005 1.0000000    1.00000000
## 1006 1.0000000    0.00000000
## 1007 0.9000000    0.77500000
## 1008 0.8863636    0.68181818
## 1009 1.0000000    1.00000000
## 1010 1.0000000    0.00000000
## 1011 1.0000000    0.50000000
## 1012 1.0000000    1.00000000
## 1013 1.0000000    0.78571429
## 1014 1.0000000    1.00000000
## 1015 1.0000000    0.66666667
## 1016 0.8695652    0.39130435
## 1017 1.0000000    0.00000000
## 1018 0.0000000    0.00000000
## 1019 1.0000000    1.00000000
## 1020 1.0000000    0.00000000
## 1021 1.0000000    0.66666667
## 1022 1.0000000    0.00000000
## 1023 1.0000000    1.00000000
## 1024 1.0000000    1.00000000
## 1025 1.0000000    1.00000000
## 1026 1.0000000    1.00000000
## 1027 1.0000000    1.00000000
## 1028 1.0000000    0.07142857
## 1029 0.6315789    1.00000000
## 1030 1.0000000    1.00000000
## 1031 1.0000000    1.00000000
## 1032 1.0000000    0.00000000
## 1033 1.0000000    0.00000000
## 1034 0.0000000    0.00000000
## 1035 1.0000000    1.00000000
## 1036 1.0000000    1.00000000
## 1037 1.0000000    1.00000000
## 1038 1.0000000    1.00000000
## 1039 0.0000000    0.00000000
## 1040 0.9200000    0.68000000
## 1041 1.0000000    1.00000000
## 1042 1.0000000    1.00000000
## 1043 1.0000000    0.00000000
## 1044 1.0000000    0.37500000
## 1045 1.0000000    1.00000000
## 1046 0.1666667    0.16666667
## 1047 1.0000000    1.00000000
## 1048 1.0000000    0.00000000
## 1049 1.0000000    1.00000000
## 1050 1.0000000    1.00000000
## 1051 1.0000000    0.55555556
## 1052 0.9666667    0.83333333
## 1053 1.0000000    1.00000000
## 1054 1.0000000    1.00000000
## 1055 1.0000000    1.00000000
## 1056 1.0000000    0.00000000
## 1057 1.0000000    1.00000000
## 1058 1.0000000    1.00000000
## 1059 1.0000000    1.00000000
## 1060 1.0000000    0.00000000
## 1061 1.0000000    0.00000000
## 1062 1.0000000    1.00000000
## 1063 1.0000000    0.33333333
## 1064 1.0000000    0.00000000
## 1065 1.0000000    0.40000000
## 1066 0.8888889    0.70370370
## 1067 1.0000000    1.00000000
## 1068 1.0000000    0.00000000
## 1069 1.0000000    1.00000000
## 1070 1.0000000    1.00000000
## 1071 1.0000000    1.00000000
## 1072 1.0000000    0.00000000
## 1073 1.0000000    1.00000000
## 1074 1.0000000    1.00000000
## 1075 1.0000000    1.00000000
## 1076 1.0000000    0.00000000
## 1077 0.8000000    0.52000000
## 1078 0.8108108    0.54054054
## 1079 1.0000000    0.00000000
## 1080 1.0000000    1.00000000
## 1081 1.0000000    1.00000000
## 1082 1.0000000    0.75000000
## 1083 0.5000000    0.50000000
## 1084 0.0000000    0.00000000
## 1085 1.0000000    0.50000000
## 1086 1.0000000    0.00000000
## 1087 0.5000000    0.00000000
## 1088 1.0000000    0.00000000
## 1089 1.0000000    1.00000000
## 1090 1.0000000    0.33333333
## 1091 0.0000000    1.00000000
## 1092 1.0000000    1.00000000
## 1093 1.0000000    0.00000000
## 1094 1.0000000    0.00000000
## 1095 1.0000000    0.77777778
## 1096 1.0000000    0.50000000
## 1097 1.0000000    0.00000000
## 1098 1.0000000    1.00000000
## 1099 0.8333333    0.16666667
## 1100 1.0000000    0.41935484
## 1101 1.0000000    0.66666667
## 1102 1.0000000    0.75000000
## 1103 1.0000000    1.00000000
## 1104 1.0000000    0.00000000
## 1105 1.0000000    1.00000000
## 1106 1.0000000    1.00000000
## 1107 1.0000000    1.00000000
## 1108 1.0000000    0.00000000
## 1109 1.0000000    0.00000000
## 1110 1.0000000    0.00000000
## 1111 1.0000000    1.00000000
## 1112 1.0000000    0.00000000
## 1113 1.0000000    1.00000000
## 1114 1.0000000    1.00000000
## 1115 1.0000000    1.00000000
## 1116 1.0000000    0.00000000
## 1117 1.0000000    1.00000000
## 1118 1.0000000    0.00000000
## 1119 1.0000000    1.00000000
## 1120 0.0000000    0.00000000
## 1121 1.0000000    1.00000000
## 1122 1.0000000    0.83333333
## 1123 1.0000000    1.00000000
## 1124 1.0000000    1.00000000
## 1125 0.0000000    1.00000000
## 1126 1.0000000    0.20000000
## 1127 0.3333333    1.00000000
## 1128 1.0000000    0.00000000
## 1129 1.0000000    1.00000000
## 1130 0.8627451    0.45098039
## 1131 0.8082192    0.65753425
## 1132 0.0000000    1.00000000
## 1133 1.0000000    1.00000000
## 1134 1.0000000    1.00000000
## 1135 1.0000000    1.00000000
## 1136 1.0000000    1.00000000
## 1137 0.7500000    0.75000000
## 1138 1.0000000    1.00000000
## 1139 1.0000000    1.00000000
## 1140 1.0000000    1.00000000
## 1141 0.8000000    0.80000000
## 1142 1.0000000    0.14285714
## 1143 1.0000000    0.00000000
## 1144 1.0000000    1.00000000
## 1145 1.0000000    1.00000000
## 1146 1.0000000    1.00000000
## 1147 1.0000000    0.71428571
## 1148 0.9090909    0.90909091
## 1149 1.0000000    0.00000000
## 1150 1.0000000    1.00000000
## 1151 1.0000000    1.00000000
## 1152 1.0000000    0.00000000
## 1153 1.0000000    0.00000000
## 1154 1.0000000    1.00000000
## 1155 1.0000000    1.00000000
## 1156 1.0000000    1.00000000
## 1157 1.0000000    0.00000000
## 1158 1.0000000    1.00000000
## 1159 1.0000000    1.00000000
## 1160 1.0000000    0.25000000
## 1161 0.9166667    0.87500000
## 1162 1.0000000    1.00000000
## 1163 1.0000000    1.00000000
## 1164 1.0000000    1.00000000
## 1165 1.0000000    0.50000000
## 1166 1.0000000    1.00000000
## 1167 1.0000000    0.00000000
## 1168 0.0000000    0.00000000
## 1169 1.0000000    1.00000000
## 1170 1.0000000    1.00000000
## 1171 1.0000000    1.00000000
## 1172 1.0000000    0.75000000
## 1173 1.0000000    0.70967742
## 1174 1.0000000    0.00000000
## 1175 0.6250000    0.62500000
## 1176 1.0000000    1.00000000
## 1177 1.0000000    0.00000000
## 1178 1.0000000    0.00000000
## 1179 1.0000000    1.00000000
## 1180 0.3333333    0.33333333
## 1181 1.0000000    0.00000000
## 1182 1.0000000    1.00000000
## 1183 1.0000000    1.00000000
## 1184 1.0000000    0.00000000
## 1185 0.6956522    0.91304348
## 1186 1.0000000    1.00000000
## 1187 1.0000000    1.00000000
## 1188 1.0000000    1.00000000
## 1189 1.0000000    0.50000000
## 1190 1.0000000    0.66666667
## 1191 1.0000000    0.00000000
## 1192 1.0000000    1.00000000
## 1193 1.0000000    1.00000000
## 1194 1.0000000    1.00000000
## 1195 1.0000000    1.00000000
## 1196 1.0000000    1.00000000
## 1197 1.0000000    1.00000000
## 1198 1.0000000    0.83333333
## 1199 1.0000000    0.68421053
## 1200 0.8695652    0.91304348
## 1201 1.0000000    1.00000000
## 1202 1.0000000    0.00000000
## 1203 1.0000000    1.00000000
## 1204 1.0000000    1.00000000
## 1205 1.0000000    1.00000000
## 1206 1.0000000    1.00000000
## 1207 1.0000000    1.00000000
## 1208 1.0000000    0.50000000
## 1209 1.0000000    1.00000000
## 1210 1.0000000    1.00000000
## 1211 1.0000000    1.00000000
## 1212 1.0000000    1.00000000
## 1213 1.0000000    1.00000000
## 1214 1.0000000    0.00000000
## 1215 1.0000000    0.00000000
## 1216 1.0000000    0.00000000
## 1217 1.0000000    0.50000000
## 1218 1.0000000    0.72727273
## 1219 0.0000000    1.00000000
## 1220 1.0000000    0.00000000
## 1221 1.0000000    0.00000000
## 1222 1.0000000    0.77777778
## 1223 1.0000000    1.00000000
## 1224 1.0000000    1.00000000
## 1225 1.0000000    0.28571429
## 1226 0.8372093    0.72093023
## 1227 0.3333333    0.66666667
## 1228 1.0000000    1.00000000
## 1229 0.6666667    0.33333333
## 1230 1.0000000    1.00000000
## 1231 1.0000000    0.00000000
## 1232 1.0000000    1.00000000
## 1233 1.0000000    0.25000000
## 1234 1.0000000    1.00000000
## 1235 0.0000000    0.00000000
## 1236 1.0000000    1.00000000
## 1237 1.0000000    0.33333333
## 1238 1.0000000    0.50000000
## 1239 1.0000000    1.00000000
## 1240 1.0000000    1.00000000
## 1241 1.0000000    0.53846154
## 1242 1.0000000    0.00000000
## 1243 1.0000000    1.00000000
## 1244 1.0000000    1.00000000
## 1245 1.0000000    1.00000000
## 1246 1.0000000    0.00000000
## 1247 1.0000000    1.00000000
## 1248 1.0000000    1.00000000
## 1249 1.0000000    0.42857143
## 1250 0.6666667    0.28571429
## 1251 0.9770115    0.68390805
## 1252 1.0000000    1.00000000
## 1253 0.3333333    0.00000000
## 1254 1.0000000    0.00000000
## 1255 1.0000000    1.00000000
## 1256 1.0000000    1.00000000
## 1257 1.0000000    1.00000000
## 1258 0.0000000    0.00000000
## 1259 1.0000000    0.50000000
## 1260 1.0000000    1.00000000
## 1261 1.0000000    1.00000000
## 1262 1.0000000    0.71428571
## 1263 1.0000000    1.00000000
## 1264 1.0000000    1.00000000
## 1265 1.0000000    0.50000000
## 1266 1.0000000    0.00000000
## 1267 1.0000000    1.00000000
## 1268 1.0000000    1.00000000
## 1269 1.0000000    1.00000000
## 1270 1.0000000    0.50000000
## 1271 1.0000000    1.00000000
## 1272 0.7272727    0.72727273
## 1273 1.0000000    1.00000000
## 1274 1.0000000    0.00000000
## 1275 1.0000000    0.00000000
## 1276 1.0000000    1.00000000
## 1277 1.0000000    1.00000000
## 1278 1.0000000    1.00000000
## 1279 1.0000000    0.00000000
## 1280 1.0000000    1.00000000
## 1281 0.0000000    0.00000000
## 1282 1.0000000    1.00000000
## 1283 1.0000000    0.50000000
## 1284 1.0000000    0.00000000
## 1285 0.8571429    0.14285714
## 1286 1.0000000    0.00000000
## 1287 1.0000000    0.00000000
## 1288 1.0000000    1.00000000
## 1289 1.0000000    1.00000000
## 1290 1.0000000    0.50000000
## 1291 1.0000000    0.80000000
## 1292 0.8909091    0.85454545
## 1293 1.0000000    0.83333333
## 1294 0.0000000    0.00000000
## 1295 1.0000000    1.00000000
## 1296 1.0000000    1.00000000
## 1297 1.0000000    0.00000000
## 1298 1.0000000    1.00000000
## 1299 1.0000000    1.00000000
## 1300 1.0000000    0.00000000
## 1301 1.0000000    1.00000000
## 1302 1.0000000    1.00000000
## 1303 0.9583333    0.95833333
## 1304 1.0000000    0.00000000
## 1305 0.0000000    0.00000000
## 1306 0.5000000    1.00000000
## 1307 1.0000000    1.00000000
## 1308 1.0000000    0.00000000
## 1309 1.0000000    1.00000000
## 1310 1.0000000    1.00000000
## 1311 1.0000000    0.36842105
## 1312 1.0000000    1.00000000
## 1313 0.0000000    1.00000000
## 1314 1.0000000    1.00000000
## 1315 1.0000000    1.00000000
## 1316 1.0000000    1.00000000
## 1317 1.0000000    0.40000000
## 1318 1.0000000    0.00000000
## 1319 1.0000000    1.00000000
## 1320 1.0000000    1.00000000
## 1321 1.0000000    1.00000000
## 1322 1.0000000    1.00000000
## 1323 1.0000000    1.00000000
## 1324 0.8750000    0.75000000
## 1325 1.0000000    1.00000000
## 1326 1.0000000    1.00000000
## 1327 1.0000000    1.00000000
## 1328 0.8333333    1.00000000
## 1329 1.0000000    1.00000000
## 1330 1.0000000    0.00000000
## 1331 1.0000000    1.00000000
## 1332 0.8333333    0.58333333
## 1333 0.8936170    0.55319149
## 1334 1.0000000    1.00000000
## 1335 1.0000000    1.00000000
## 1336 0.4285714    0.42857143
## 1337 1.0000000    1.00000000
## 1338 0.6000000    0.60000000
## 1339 1.0000000    1.00000000
## 1340 0.8333333    0.66666667
## 1341 1.0000000    1.00000000
## 1342 1.0000000    1.00000000
## 1343 0.3333333    0.33333333
## 1344 1.0000000    1.00000000
## 1345 0.4166667    0.66666667
## 1346 1.0000000    1.00000000
## 1347 0.8076923    0.57692308
## 1348 0.8759690    0.62790698
## 1349 1.0000000    0.00000000
## 1350 1.0000000    1.00000000
## 1351 1.0000000    0.00000000
## 1352 1.0000000    0.60000000
## 1353 1.0000000    1.00000000
## 1354 0.5000000    0.50000000
## 1355 1.0000000    0.77777778
## 1356 1.0000000    0.50000000
## 1357 1.0000000    1.00000000
## 1358 0.0000000    1.00000000
## 1359 1.0000000    1.00000000
## 1360 1.0000000    1.00000000
## 1361 1.0000000    1.00000000
## 1362 1.0000000    0.00000000
## 1363 1.0000000    1.00000000
## 1364 1.0000000    1.00000000
## 1365 1.0000000    1.00000000
## 1366 1.0000000    1.00000000
## 1367 1.0000000    1.00000000
## 1368 0.5000000    1.00000000
## 1369 1.0000000    1.00000000
## 1370 1.0000000    1.00000000
## 1371 1.0000000    1.00000000
## 1372 1.0000000    1.00000000
## 1373 1.0000000    0.00000000
## 1374 1.0000000    0.50000000
## 1375 0.7500000    0.75000000
## 1376 0.8947368    0.63157895
## 1377 1.0000000    1.00000000
## 1378 1.0000000    1.00000000
## 1379 1.0000000    0.71428571
## 1380 1.0000000    0.00000000
## 1381 1.0000000    1.00000000
## 1382 1.0000000    1.00000000
## 1383 1.0000000    1.00000000
## 1384 1.0000000    1.00000000
## 1385 1.0000000    0.00000000
## 1386 1.0000000    0.00000000
## 1387 1.0000000    0.00000000
## 1388 1.0000000    0.00000000
## 1389 1.0000000    1.00000000
## 1390 1.0000000    1.00000000
## 1391 1.0000000    0.00000000
## 1392 0.0000000    0.00000000
## 1393 1.0000000    1.00000000
## 1394 1.0000000    1.00000000
## 1395 1.0000000    0.48000000
## 1396 0.0000000    1.00000000
## 1397 1.0000000    0.00000000
## 1398 1.0000000    1.00000000
## 1399 1.0000000    0.33333333
## 1400 1.0000000    0.00000000
## 1401 1.0000000    1.00000000
## 1402 1.0000000    1.00000000
## 1403 1.0000000    0.88461538
## 1404 0.0000000    1.00000000
## 1405 0.6000000    1.00000000
## 1406 1.0000000    1.00000000
## 1407 1.0000000    1.00000000
## 1408 1.0000000    0.50000000
## 1409 0.0000000    0.00000000
## 1410 1.0000000    1.00000000
## 1411 1.0000000    0.00000000
## 1412 1.0000000    1.00000000
## 1413 1.0000000    1.00000000
## 1414 1.0000000    1.00000000
## 1415 1.0000000    0.81250000
## 1416 1.0000000    1.00000000
## 1417 1.0000000    1.00000000
## 1418 1.0000000    1.00000000
## 1419 1.0000000    1.00000000
## 1420 1.0000000    1.00000000
## 1421 1.0000000    1.00000000
## 1422 1.0000000    1.00000000
## 1423 1.0000000    1.00000000
## 1424 0.7500000    0.75000000
## 1425 1.0000000    1.00000000
## 1426 1.0000000    0.00000000
## 1427 1.0000000    1.00000000
## 1428 1.0000000    0.25000000
## 1429 0.8596491    0.80701754
## 1430 1.0000000    0.94117647
## 1431 0.0000000    0.00000000
## 1432 1.0000000    1.00000000
## 1433 1.0000000    1.00000000
## 1434 1.0000000    0.80000000
## 1435 1.0000000    0.00000000
## 1436 1.0000000    0.00000000
## 1437 1.0000000    1.00000000
## 1438 1.0000000    1.00000000
## 1439 1.0000000    1.00000000
## 1440 1.0000000    1.00000000
## 1441 1.0000000    1.00000000
## 1442 1.0000000    1.00000000
## 1443 1.0000000    1.00000000
## 1444 1.0000000    1.00000000
## 1445 1.0000000    1.00000000
## 1446 1.0000000    1.00000000
## 1447 1.0000000    0.87500000
## 1448 1.0000000    0.90476190
## 1449 1.0000000    1.00000000
## 1450 1.0000000    1.00000000
## 1451 1.0000000    1.00000000
## 1452 1.0000000    0.00000000
## 1453 1.0000000    1.00000000
## 1454 1.0000000    1.00000000
## 1455 1.0000000    0.20000000
## 1456 0.9189189    0.51351351
## 1457 0.8787879    0.62121212
## 1458 1.0000000    1.00000000
## 1459 1.0000000    1.00000000
## 1460 1.0000000    1.00000000
## 1461 1.0000000    1.00000000
## 1462 1.0000000    1.00000000
## 1463 0.0000000    0.00000000
## 1464 1.0000000    1.00000000
## 1465 1.0000000    1.00000000
## 1466 1.0000000    0.00000000
## 1467 0.0000000    1.00000000
## 1468 1.0000000    1.00000000
## 1469 0.8333333    0.83333333
## 1470 1.0000000    0.00000000
## 1471 1.0000000    0.77777778
## 1472 1.0000000    1.00000000
## 1473 1.0000000    0.00000000
## 1474 1.0000000    1.00000000
## 1475 1.0000000    0.50000000
## 1476 1.0000000    1.00000000
## 1477 1.0000000    1.00000000
## 1478 0.3333333    0.33333333
## 1479 1.0000000    1.00000000
## 1480 1.0000000    1.00000000
## 1481 1.0000000    1.00000000
## 1482 1.0000000    1.00000000
## 1483 0.5000000    0.00000000
## 1484 1.0000000    1.00000000
## 1485 1.0000000    1.00000000
## 1486 1.0000000    1.00000000
## 1487 1.0000000    0.75000000
## 1488 1.0000000    1.00000000
## 1489 1.0000000    0.25000000
## 1490 1.0000000    0.55555556
## 1491 1.0000000    1.00000000
## 1492 1.0000000    0.60000000
## 1493 1.0000000    0.00000000
## 1494 1.0000000    1.00000000
## 1495 1.0000000    1.00000000
## 1496 1.0000000    1.00000000
## 1497 0.8750000    0.87500000
## 1498 1.0000000    1.00000000
## 1499 1.0000000    1.00000000
## 1500 1.0000000    1.00000000
## 1501 1.0000000    1.00000000
## 1502 1.0000000    0.20000000
## 1503 1.0000000    1.00000000
## 1504 1.0000000    0.46153846
## 1505 1.0000000    1.00000000
## 1506 1.0000000    0.92307692
## 1507 0.0000000    0.00000000
## 1508 1.0000000    0.56250000
## 1509 0.7142857    0.71428571
## 1510 1.0000000    0.00000000
## 1511 1.0000000    1.00000000
## 1512 1.0000000    1.00000000
## 1513 1.0000000    1.00000000
## 1514 1.0000000    1.00000000
## 1515 1.0000000    0.00000000
## 1516 1.0000000    1.00000000
## 1517 1.0000000    1.00000000
## 1518 1.0000000    1.00000000
## 1519 1.0000000    1.00000000
## 1520 0.8000000    0.45000000
## 1521 1.0000000    0.00000000
## 1522 1.0000000    0.87500000
## 1523 1.0000000    0.00000000
## 1524 0.0000000    1.00000000
## 1525 1.0000000    1.00000000
## 1526 1.0000000    0.58333333
## 1527 1.0000000    1.00000000
## 1528 0.0000000    0.00000000
## 1529 1.0000000    0.33333333
## 1530 1.0000000    1.00000000
## 1531 1.0000000    0.50000000
## 1532 0.6666667    0.66666667
## 1533 1.0000000    1.00000000
## 1534 1.0000000    0.00000000
## 1535 1.0000000    0.50000000
## 1536 0.0000000    1.00000000
## 1537 1.0000000    0.00000000
## 1538 1.0000000    1.00000000
## 1539 1.0000000    0.84615385
## 1540 0.9107143    0.65178571
## 1541 1.0000000    1.00000000
## 1542 1.0000000    1.00000000
## 1543 1.0000000    1.00000000
## 1544 1.0000000    1.00000000
## 1545 1.0000000    0.00000000
## 1546 1.0000000    1.00000000
## 1547 1.0000000    1.00000000
## 1548 1.0000000    0.25000000
## 1549 1.0000000    1.00000000
## 1550 1.0000000    0.28571429
## 1551 0.8571429    0.14285714
## 1552 1.0000000    0.50000000
## 1553 0.0000000    1.00000000
## 1554 1.0000000    1.00000000
## 1555 1.0000000    1.00000000
## 1556 1.0000000    1.00000000
## 1557 1.0000000    1.00000000
## 1558 1.0000000    1.00000000
## 1559 0.0000000    0.00000000
## 1560 0.0000000    1.00000000
## 1561 0.0000000    1.00000000
## 1562 1.0000000    0.25000000
## 1563 1.0000000    0.87500000
## 1564 1.0000000    1.00000000
## 1565 1.0000000    1.00000000
## 1566 1.0000000    1.00000000
## 1567 1.0000000    1.00000000
## 1568 1.0000000    0.00000000
## 1569 0.0000000    0.00000000
## 1570 1.0000000    1.00000000
## 1571 1.0000000    0.57142857
## 1572 0.9545455    0.68181818
## 1573 1.0000000    0.69230769
## 1574 1.0000000    0.00000000
## 1575 1.0000000    0.50000000
## 1576 1.0000000    0.00000000
## 1577 0.0000000    0.00000000
## 1578 1.0000000    1.00000000
## 1579 1.0000000    1.00000000
## 1580 0.0000000    0.00000000
## 1581 1.0000000    0.00000000
## 1582 1.0000000    0.50000000
## 1583 1.0000000    1.00000000
## 1584 1.0000000    0.00000000
## 1585 1.0000000    1.00000000
## 1586 1.0000000    1.00000000
## 1587 1.0000000    0.00000000
## 1588 1.0000000    0.00000000
## 1589 1.0000000    1.00000000
## 1590 1.0000000    0.31428571
## 1591 0.9487179    0.58119658
## 1592 1.0000000    1.00000000
## 1593 1.0000000    0.00000000
## 1594 1.0000000    1.00000000
## 1595 1.0000000    1.00000000
## 1596 1.0000000    0.00000000
## 1597 1.0000000    0.00000000
## 1598 1.0000000    0.85714286
## 1599 1.0000000    0.50000000
## 1600 1.0000000    1.00000000
## 1601 1.0000000    1.00000000
## 1602 1.0000000    1.00000000
## 1603 0.5000000    0.50000000
## 1604 1.0000000    1.00000000
## 1605 1.0000000    0.14285714
## 1606 1.0000000    1.00000000
## 1607 1.0000000    1.00000000
## 1608 1.0000000    0.80000000
## 1609 1.0000000    1.00000000
## 1610 1.0000000    1.00000000
## 1611 1.0000000    0.75000000
## 1612 1.0000000    1.00000000
## 1613 1.0000000    0.00000000
## 1614 0.0000000    0.00000000
## 1615 1.0000000    0.00000000
## 1616 1.0000000    1.00000000
## 1617 1.0000000    0.71428571
## 1618 0.9705882    0.26470588
## 1619 0.2500000    1.00000000
## 1620 1.0000000    1.00000000
## 1621 1.0000000    1.00000000
## 1622 1.0000000    1.00000000
## 1623 1.0000000    1.00000000
## 1624 1.0000000    0.76470588
## 1625 1.0000000    0.66666667
## 1626 0.5714286    0.57142857
## 1627 1.0000000    1.00000000
## 1628 0.0000000    0.00000000
## 1629 1.0000000    1.00000000
## 1630 0.5000000    0.50000000
## 1631 1.0000000    0.00000000
## 1632 1.0000000    0.50000000
## 1633 1.0000000    1.00000000
## 1634 0.0000000    1.00000000
## 1635 1.0000000    0.25000000
## 1636 1.0000000    1.00000000
## 1637 1.0000000    1.00000000
## 1638 1.0000000    1.00000000
## 1639 1.0000000    1.00000000
## 1640 1.0000000    1.00000000
## 1641 1.0000000    1.00000000
## 1642 0.3333333    1.00000000
## 1643 1.0000000    1.00000000
## 1644 1.0000000    1.00000000
## 1645 1.0000000    0.00000000
## 1646 1.0000000    0.33333333
## 1647 1.0000000    1.00000000
## 1648 1.0000000    1.00000000
## 1649 1.0000000    0.33333333
## 1650 1.0000000    1.00000000
## 1651 1.0000000    1.00000000
## 1652 1.0000000    0.76470588
## 1653 1.0000000    1.00000000
## 1654 0.0000000    0.00000000
## 1655 1.0000000    0.00000000
## 1656 1.0000000    1.00000000
## 1657 1.0000000    0.66666667
## 1658 0.9154930    0.57746479
## 1659 1.0000000    1.00000000
## 1660 1.0000000    0.00000000
## 1661 0.0000000    0.00000000
## 1662 1.0000000    1.00000000
## 1663 1.0000000    0.00000000
## 1664 1.0000000    1.00000000
## 1665 1.0000000    0.00000000
## 1666 1.0000000    0.88888889
## 1667 1.0000000    1.00000000
## 1668 1.0000000    1.00000000
## 1669 1.0000000    1.00000000
## 1670 1.0000000    0.00000000
## 1671 1.0000000    0.61538462
## 1672 0.8800000    0.52000000
## 1673 1.0000000    0.62500000
## 1674 0.0000000    1.00000000
## 1675 1.0000000    1.00000000
## 1676 1.0000000    1.00000000
## 1677 1.0000000    1.00000000
## 1678 1.0000000    0.00000000
## 1679 1.0000000    1.00000000
## 1680 0.0000000    1.00000000
## 1681 1.0000000    0.00000000
## 1682 1.0000000    1.00000000
## 1683 1.0000000    0.75000000
## 1684 1.0000000    1.00000000
## 1685 1.0000000    1.00000000
## 1686 1.0000000    1.00000000
## 1687 1.0000000    1.00000000
## 1688 1.0000000    1.00000000
## 1689 1.0000000    0.50000000
## 1690 0.5000000    0.00000000
## 1691 1.0000000    0.00000000
## 1692 1.0000000    1.00000000
## 1693 1.0000000    1.00000000
## 1694 1.0000000    1.00000000
## 1695 1.0000000    1.00000000
## 1696 0.0000000    1.00000000
## 1697 0.0000000    0.00000000
## 1698 1.0000000    1.00000000
## 1699 0.0000000    0.00000000
## 1700 1.0000000    1.00000000
## 1701 1.0000000    0.00000000
## 1702 1.0000000    1.00000000
## 1703 1.0000000    0.00000000
## 1704 1.0000000    1.00000000
## 1705 1.0000000    0.00000000
## 1706 1.0000000    1.00000000
## 1707 1.0000000    1.00000000
## 1708 1.0000000    0.00000000
## 1709 1.0000000    0.00000000
## 1710 1.0000000    1.00000000
## 1711 1.0000000    1.00000000
## 1712 1.0000000    1.00000000
## 1713 0.7500000    0.36111111
## 1714 0.9200000    0.56000000
## 1715 1.0000000    1.00000000
## 1716 1.0000000    1.00000000
## 1717 1.0000000    1.00000000
## 1718 1.0000000    1.00000000
## 1719 0.0000000    0.00000000
## 1720 1.0000000    1.00000000
## 1721 1.0000000    1.00000000
## 1722 1.0000000    0.33333333
## 1723 0.8571429    0.85714286
## 1724 1.0000000    1.00000000
## 1725 0.6666667    0.66666667
## 1726 1.0000000    1.00000000
## 1727 1.0000000    0.00000000
## 1728 1.0000000    1.00000000
## 1729 1.0000000    1.00000000
## 1730 1.0000000    1.00000000
## 1731 1.0000000    1.00000000
## 1732 1.0000000    1.00000000
## 1733 1.0000000    1.00000000
## 1734 1.0000000    0.00000000
## 1735 1.0000000    0.00000000
## 1736 0.2500000    0.00000000
## 1737 1.0000000    0.00000000
## 1738 1.0000000    1.00000000
## 1739 1.0000000    1.00000000
## 1740 1.0000000    0.00000000
## 1741 1.0000000    1.00000000
## 1742 1.0000000    0.00000000
## 1743 0.5000000    0.50000000
## 1744 1.0000000    1.00000000
## 1745 1.0000000    1.00000000
## 1746 1.0000000    1.00000000
## 1747 1.0000000    1.00000000
## 1748 1.0000000    1.00000000
## 1749 1.0000000    0.00000000
## 1750 1.0000000    1.00000000
## 1751 1.0000000    1.00000000
## 1752 1.0000000    0.17647059
## 1753 1.0000000    1.00000000
## 1754 0.0000000    1.00000000
## 1755 1.0000000    1.00000000
## 1756 1.0000000    1.00000000
## 1757 1.0000000    0.00000000
## 1758 1.0000000    0.00000000
## 1759 1.0000000    1.00000000
## 1760 0.8681319    0.57142857
## 1761 1.0000000    1.00000000
## 1762 1.0000000    1.00000000
## 1763 1.0000000    1.00000000
## 1764 1.0000000    0.83333333
## 1765 0.0000000    0.00000000
## 1766 0.2000000    0.80000000
## 1767 0.0000000    0.00000000
## 1768 1.0000000    0.00000000
## 1769 1.0000000    1.00000000
## 1770 1.0000000    0.00000000
## 1771 1.0000000    0.00000000
## 1772 1.0000000    1.00000000
## 1773 1.0000000    0.50000000
## 1774 0.0000000    0.00000000
## 1775 1.0000000    1.00000000
## 1776 1.0000000    1.00000000
## 1777 1.0000000    0.00000000
## 1778 1.0000000    0.00000000
## 1779 0.0000000    0.00000000
## 1780 1.0000000    1.00000000
## 1781 1.0000000    1.00000000
## 1782 1.0000000    0.66666667
## 1783 1.0000000    0.08333333
## 1784 1.0000000    0.00000000
## 1785 1.0000000    1.00000000
## 1786 1.0000000    0.33333333
## 1787 1.0000000    1.00000000
## 1788 1.0000000    1.00000000
## 1789 1.0000000    0.00000000
## 1790 0.3333333    0.33333333
## 1791 0.7500000    0.00000000
## 1792 0.0000000    0.00000000
## 1793 1.0000000    1.00000000
## 1794 1.0000000    0.00000000
## 1795 1.0000000    0.00000000
## 1796 1.0000000    0.00000000
## 1797 0.8695652    0.69565217
## 1798 0.8602151    0.50537634
## 1799 1.0000000    0.00000000
## 1800 1.0000000    1.00000000
## 1801 1.0000000    1.00000000
## 1802 1.0000000    1.00000000
## 1803 1.0000000    1.00000000
## 1804 1.0000000    0.00000000
## 1805 1.0000000    1.00000000
## 1806 0.0000000    1.00000000
## 1807 1.0000000    1.00000000
## 1808 1.0000000    0.00000000
## 1809 1.0000000    0.00000000
## 1810 1.0000000    0.93750000
## 1811 1.0000000    0.00000000
## 1812 1.0000000    0.66666667
## 1813 1.0000000    0.83333333
## 1814 1.0000000    0.00000000
## 1815 1.0000000    1.00000000
## 1816 1.0000000    1.00000000
## 1817 1.0000000    0.00000000
## 1818 1.0000000    0.00000000
## 1819 1.0000000    1.00000000
## 1820 1.0000000    1.00000000
## 1821 1.0000000    0.00000000
## 1822 1.0000000    1.00000000
## 1823 1.0000000    1.00000000
## 1824 1.0000000    1.00000000
## 1825 1.0000000    0.08695652
## 1826 1.0000000    0.00000000
## 1827 1.0000000    0.62500000
## 1828 0.0000000    1.00000000
## 1829 1.0000000    0.83333333
## 1830 0.6481481    0.46296296
## 1831 1.0000000    1.00000000
## 1832 1.0000000    1.00000000
## 1833 1.0000000    1.00000000
## 1834 1.0000000    1.00000000
## 1835 1.0000000    1.00000000
## 1836 1.0000000    0.00000000
## 1837 1.0000000    1.00000000
## 1838 0.0000000    1.00000000
## 1839 1.0000000    1.00000000
## 1840 1.0000000    1.00000000
## 1841 1.0000000    1.00000000
## 1842 1.0000000    0.80000000
## 1843 0.0000000    0.00000000
## 1844 1.0000000    1.00000000
## 1845 1.0000000    1.00000000
## 1846 1.0000000    1.00000000
## 1847 1.0000000    1.00000000
## 1848 1.0000000    1.00000000
## 1849 1.0000000    1.00000000
## 1850 1.0000000    0.87500000
## 1851 1.0000000    1.00000000
## 1852 0.0000000    1.00000000
## 1853 1.0000000    1.00000000
## 1854 1.0000000    0.92592593
## 1855 0.9482759    0.50000000
## 1856 0.7000000    1.00000000
## 1857 1.0000000    1.00000000
## 1858 1.0000000    0.00000000
## 1859 1.0000000    0.00000000
## 1860 1.0000000    1.00000000
## 1861 1.0000000    1.00000000
## 1862 1.0000000    0.00000000
## 1863 1.0000000    1.00000000
## 1864 1.0000000    1.00000000
## 1865 1.0000000    1.00000000
## 1866 1.0000000    1.00000000
## 1867 1.0000000    1.00000000
## 1868 1.0000000    0.50000000
## 1869 1.0000000    1.00000000
## 1870 1.0000000    1.00000000
## 1871 1.0000000    1.00000000
## 1872 1.0000000    0.42857143
## 1873 1.0000000    0.00000000
## 1874 1.0000000    0.50000000
## 1875 1.0000000    1.00000000
## 1876 1.0000000    1.00000000
## 1877 1.0000000    0.52000000
## 1878 1.0000000    1.00000000
## 1879 1.0000000    1.00000000
## 1880 1.0000000    1.00000000
## 1881 1.0000000    1.00000000
## 1882 1.0000000    0.00000000
## 1883 1.0000000    1.00000000
## 1884 1.0000000    1.00000000
## 1885 1.0000000    0.60000000
## 1886 1.0000000    1.00000000
## 1887 1.0000000    1.00000000
## 1888 0.6666667    0.83333333
## 1889 1.0000000    0.55555556
## 1890 0.0000000    1.00000000
## 1891 1.0000000    1.00000000
## 1892 1.0000000    0.00000000
## 1893 1.0000000    1.00000000
## 1894 1.0000000    1.00000000
## 1895 1.0000000    0.60000000
## 1896 0.7391304    0.34782609
## 1897 1.0000000    1.00000000
## 1898 1.0000000    1.00000000
## 1899 1.0000000    1.00000000
## 1900 1.0000000    0.00000000
## 1901 1.0000000    1.00000000
## 1902 1.0000000    0.00000000
## 1903 0.5000000    0.50000000
## 1904 1.0000000    1.00000000
## 1905 1.0000000    0.00000000
## 1906 1.0000000    1.00000000
## 1907 0.0000000    1.00000000
## 1908 1.0000000    1.00000000
## 1909 1.0000000    1.00000000
## 1910 1.0000000    1.00000000
## 1911 0.0000000    0.00000000
## 1912 0.0000000    0.00000000
## 1913 1.0000000    0.50000000
## 1914 1.0000000    1.00000000
## 1915 1.0000000    1.00000000
## 1916 1.0000000    1.00000000
## 1917 1.0000000    1.00000000
## 1918 1.0000000    1.00000000
## 1919 1.0000000    0.50000000
## 1920 1.0000000    0.66666667
## 1921 1.0000000    0.43478261
## 1922 1.0000000    1.00000000
## 1923 1.0000000    1.00000000
## 1924 1.0000000    0.00000000
## 1925 1.0000000    1.00000000
## 1926 1.0000000    0.00000000
## 1927 1.0000000    1.00000000
## 1928 1.0000000    0.00000000
## 1929 0.0000000    1.00000000
## 1930 1.0000000    1.00000000
## 1931 1.0000000    0.00000000
## 1932 1.0000000    1.00000000
## 1933 1.0000000    1.00000000
## 1934 1.0000000    1.00000000
## 1935 1.0000000    1.00000000
## 1936 1.0000000    1.00000000
## 1937 0.0000000    1.00000000
## 1938 1.0000000    0.80000000
## 1939 0.9464286    0.83928571
## 1940 1.0000000    1.00000000
## 1941 1.0000000    0.00000000
## 1942 1.0000000    1.00000000
## 1943 1.0000000    1.00000000
## 1944 1.0000000    0.11111111
## 1945 1.0000000    1.00000000
## 1946 1.0000000    0.00000000
## 1947 1.0000000    1.00000000
## 1948 1.0000000    1.00000000
## 1949 1.0000000    1.00000000
## 1950 1.0000000    0.00000000
## 1951 1.0000000    0.00000000
## 1952 1.0000000    1.00000000
## 1953 1.0000000    0.00000000
## 1954 1.0000000    1.00000000
## 1955 1.0000000    1.00000000
## 1956 0.9230769    0.88461538
## 1957 0.0000000    0.00000000
## 1958 1.0000000    0.00000000
## 1959 1.0000000    1.00000000
## 1960 1.0000000    1.00000000
## 1961 1.0000000    0.16666667
## 1962 1.0000000    1.00000000
## 1963 1.0000000    0.00000000
## 1964 1.0000000    1.00000000
## 1965 1.0000000    0.00000000
## 1966 1.0000000    1.00000000
## 1967 1.0000000    1.00000000
## 1968 1.0000000    1.00000000
## 1969 1.0000000    1.00000000
## 1970 1.0000000    0.00000000
## 1971 1.0000000    1.00000000
## 1972 1.0000000    0.64285714
## 1973 1.0000000    0.00000000
## 1974 1.0000000    0.50000000
## 1975 1.0000000    1.00000000
## 1976 1.0000000    1.00000000
## 1977 1.0000000    1.00000000
## 1978 1.0000000    1.00000000
## 1979 0.9565217    0.73913043
## 1980 1.0000000    0.00000000
## 1981 1.0000000    1.00000000
## 1982 1.0000000    1.00000000
## 1983 1.0000000    1.00000000
## 1984 1.0000000    1.00000000
## 1985 1.0000000    0.50000000
## 1986 1.0000000    1.00000000
## 1987 1.0000000    1.00000000
## 1988 1.0000000    0.00000000
## 1989 1.0000000    1.00000000
## 1990 1.0000000    1.00000000
## 1991 1.0000000    0.50000000
## 1992 1.0000000    0.54545455
## 1993 1.0000000    0.00000000
## 1994 1.0000000    0.00000000
## 1995 1.0000000    1.00000000
## 1996 1.0000000    1.00000000
## 1997 1.0000000    1.00000000
## 1998 1.0000000    1.00000000
## 1999 0.5294118    0.41176471
## 2000 1.0000000    1.00000000
## 2001 1.0000000    1.00000000
## 2002 1.0000000    1.00000000
## 2003 1.0000000    0.00000000
## 2004 1.0000000    1.00000000
## 2005 0.8571429    0.47619048
## 2006 1.0000000    1.00000000
## 2007 1.0000000    1.00000000
## 2008 1.0000000    1.00000000
## 2009 1.0000000    1.00000000
## 2010 1.0000000    1.00000000
## 2011 1.0000000    1.00000000
## 2012 1.0000000    1.00000000
## 2013 1.0000000    1.00000000
## 2014 1.0000000    1.00000000
## 2015 1.0000000    0.00000000
## 2016 0.9444444    0.83333333
## 2017 1.0000000    1.00000000
## 2018 1.0000000    0.00000000
## 2019 1.0000000    1.00000000
## 2020 1.0000000    0.00000000
## 2021 1.0000000    1.00000000
## 2022 1.0000000    1.00000000
## 2023 1.0000000    0.85714286
## 2024 1.0000000    1.00000000
## 2025 0.0000000    0.00000000
## 2026 1.0000000    0.00000000
## 2027 0.9000000    0.70000000
## 2028 1.0000000    0.00000000
## 2029 1.0000000    0.00000000
## 2030 1.0000000    0.00000000
## 2031 1.0000000    0.00000000
## 2032 1.0000000    0.66666667
## 2033 0.0000000    1.00000000
## 2034 1.0000000    0.00000000
## 2035 1.0000000    1.00000000
## 2036 1.0000000    1.00000000
## 2037 1.0000000    1.00000000
## 2038 1.0000000    1.00000000
## 2039 1.0000000    0.80000000
## 2040 1.0000000    1.00000000
## 2041 1.0000000    1.00000000
## 2042 0.8823529    0.82352941
## 2043 1.0000000    1.00000000
## 2044 1.0000000    1.00000000
## 2045 1.0000000    0.00000000
## 2046 1.0000000    0.00000000
## 2047 1.0000000    1.00000000
## 2048 1.0000000    1.00000000
## 2049 1.0000000    1.00000000
## 2050 1.0000000    0.00000000
## 2051 1.0000000    1.00000000
## 2052 1.0000000    1.00000000
## 2053 1.0000000    1.00000000
## 2054 1.0000000    1.00000000
## 2055 1.0000000    0.55555556
## 2056 1.0000000    0.50000000
## 2057 1.0000000    1.00000000
## 2058 1.0000000    1.00000000
## 2059 1.0000000    1.00000000
## 2060 1.0000000    0.00000000
## 2061 1.0000000    1.00000000
## 2062 1.0000000    0.00000000
## 2063 1.0000000    0.33333333
## 2064 0.8260870    0.52173913
## 2065 1.0000000    1.00000000
## 2066 1.0000000    1.00000000
## 2067 1.0000000    1.00000000
## 2068 1.0000000    1.00000000
## 2069 1.0000000    1.00000000
## 2070 1.0000000    0.50000000
## 2071 1.0000000    0.50000000
## 2072 1.0000000    0.00000000
## 2073 1.0000000    1.00000000
## 2074 1.0000000    0.00000000
## 2075 1.0000000    1.00000000
## 2076 0.8000000    0.80000000
## 2077 1.0000000    0.00000000
## 2078 1.0000000    1.00000000
## 2079 1.0000000    0.55555556
## 2080 1.0000000    0.00000000
## 2081 1.0000000    1.00000000
## 2082 1.0000000    1.00000000
## 2083 1.0000000    1.00000000
## 2084 1.0000000    0.33333333
## 2085 1.0000000    1.00000000
## 2086 1.0000000    0.00000000
## 2087 1.0000000    1.00000000
## 2088 1.0000000    1.00000000
## 2089 1.0000000    0.00000000
## 2090 1.0000000    1.00000000
## 2091 1.0000000    1.00000000
## 2092 1.0000000    0.62500000
## 2093 1.0000000    1.00000000
## 2094 1.0000000    1.00000000
## 2095 1.0000000    1.00000000
## 2096 1.0000000    1.00000000
## 2097 1.0000000    1.00000000
## 2098 0.9090909    0.72727273
## 2099 1.0000000    0.50000000
## 2100 1.0000000    0.00000000
## 2101 1.0000000    0.00000000
## 2102 1.0000000    1.00000000
## 2103 1.0000000    1.00000000
## 2104 1.0000000    1.00000000
## 2105 1.0000000    0.00000000
## 2106 0.6000000    0.60000000
## 2107 1.0000000    0.00000000
## 2108 1.0000000    0.00000000
## 2109 1.0000000    1.00000000
## 2110 1.0000000    1.00000000
## 2111 1.0000000    1.00000000
## 2112 1.0000000    0.00000000
## 2113 1.0000000    1.00000000
## 2114 1.0000000    0.00000000
## 2115 1.0000000    1.00000000
## 2116 1.0000000    1.00000000
## 2117 1.0000000    1.00000000
## 2118 1.0000000    1.00000000
## 2119 1.0000000    1.00000000
## 2120 1.0000000    1.00000000
## 2121 1.0000000    0.00000000
## 2122 1.0000000    0.00000000
## 2123 0.6666667    0.66666667
## 2124 1.0000000    1.00000000
## 2125 1.0000000    0.00000000
## 2126 1.0000000    1.00000000
## 2127 1.0000000    0.00000000
## 2128 1.0000000    1.00000000
## 2129 1.0000000    0.00000000
## 2130 1.0000000    1.00000000
## 2131 1.0000000    0.00000000
## 2132 1.0000000    0.00000000
## 2133 1.0000000    1.00000000
## 2134 1.0000000    1.00000000
## 2135 1.0000000    0.33333333
## 2136 1.0000000    1.00000000
## 2137 1.0000000    1.00000000
## 2138 1.0000000    0.50000000
## 2139 1.0000000    1.00000000
## 2140 1.0000000    0.00000000
## 2141 1.0000000    1.00000000
## 2142 1.0000000    1.00000000
## 2143 1.0000000    0.60000000
## 2144 1.0000000    1.00000000
## 2145 1.0000000    0.00000000
## 2146 1.0000000    0.00000000
## 2147 1.0000000    0.42857143
## 2148 1.0000000    1.00000000
## 2149 1.0000000    0.00000000
## 2150 1.0000000    0.00000000
## 2151 1.0000000    0.00000000
## 2152 1.0000000    0.00000000
## 2153 1.0000000    0.55555556
## 2154 1.0000000    0.00000000
## 2155 1.0000000    0.00000000
## 2156 1.0000000    0.00000000
#creating a regressor of internal factors
fitinternal<-lm(formula=RoomRent~HotelCapacity+HasSwimmingPool+FreeWifi+FreeBreakfast, data =training_set)
summary(fitinternal)
## 
## Call:
## lm(formula = RoomRent ~ HotelCapacity + HasSwimmingPool + FreeWifi + 
##     FreeBreakfast, data = training_set)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
##  -8043  -2286  -1135    775 313879 
## 
## Coefficients:
##                  Estimate Std. Error t value Pr(>|t|)    
## (Intercept)     3469.0712   274.6649  12.630   <2e-16 ***
## HotelCapacity     -0.1026     1.0575  -0.097    0.923    
## HasSwimmingPool 4892.9420   171.1561  28.588   <2e-16 ***
## FreeWifi         267.1570   272.2799   0.981    0.327    
## FreeBreakfast    100.4281   150.2517   0.668    0.504    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 7312 on 10766 degrees of freedom
## Multiple R-squared:  0.09281,    Adjusted R-squared:  0.09248 
## F-statistic: 275.4 on 4 and 10766 DF,  p-value: < 2.2e-16
#creating a regressor of external fators
fitexternal<-lm(formula=RoomRent~IsTouristDestination+IsWeekend+IsNewYearEve+IsMetroCity, data=training_set)
summary(fitexternal)
## 
## Call:
## lm(formula = RoomRent ~ IsTouristDestination + IsWeekend + IsNewYearEve + 
##     IsMetroCity, data = training_set)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
##  -6922  -2936  -1321   1033 315968 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)           4321.48     166.58  25.943  < 2e-16 ***
## IsTouristDestination  2244.22     161.87  13.864  < 2e-16 ***
## IsWeekend              -33.82     157.85  -0.214  0.83035    
## IsNewYearEve           739.33     232.03   3.186  0.00144 ** 
## IsMetroCity          -1519.15     164.25  -9.249  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 7589 on 10766 degrees of freedom
## Multiple R-squared:  0.02274,    Adjusted R-squared:  0.02237 
## F-statistic: 62.62 on 4 and 10766 DF,  p-value: < 2.2e-16
#creating a regressor of optimum factors
fitoptimal<-lm(formula=RoomRent~IsTouristDestination+HasSwimmingPool+IsNewYearEve+IsMetroCity+StarRating+HotelCapacity, data=training_set)
summary(fitoptimal)
## 
## Call:
## lm(formula = RoomRent ~ IsTouristDestination + HasSwimmingPool + 
##     IsNewYearEve + IsMetroCity + StarRating + HotelCapacity, 
##     data = training_set)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -11995  -2373   -711   1049 308998 
## 
## Coefficients:
##                       Estimate Std. Error t value Pr(>|t|)    
## (Intercept)          -8615.856    409.016 -21.065  < 2e-16 ***
## IsTouristDestination  2269.917    150.651  15.067  < 2e-16 ***
## HasSwimmingPool       2112.919    183.645  11.505  < 2e-16 ***
## IsNewYearEve           702.754    203.505   3.453 0.000556 ***
## IsMetroCity          -1660.269    154.920 -10.717  < 2e-16 ***
## StarRating            3730.666    128.298  29.078  < 2e-16 ***
## HotelCapacity          -11.630      1.175  -9.894  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6955 on 10764 degrees of freedom
## Multiple R-squared:  0.1795, Adjusted R-squared:  0.179 
## F-statistic: 392.4 on 6 and 10764 DF,  p-value: < 2.2e-16
#running ttests on some factors

t.test(RoomRent,IsTouristDestination)
## 
##  Welch Two Sample t-test
## 
## data:  RoomRent and IsTouristDestination
## t = 85.856, df = 13231, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  5348.337 5598.253
## sample estimates:
##    mean of x    mean of y 
## 5473.9918380    0.6971735
t.test(RoomRent,HasSwimmingPool)
## 
##  Welch Two Sample t-test
## 
## data:  RoomRent and HasSwimmingPool
## t = 85.862, df = 13231, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  5348.678 5598.594
## sample estimates:
##    mean of x    mean of y 
## 5473.9918380    0.3558041
t.test(RoomRent,Population)
## 
##  Welch Two Sample t-test
## 
## data:  RoomRent and Population
## t = -119.16, df = 13231, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -4483927 -4338799
## sample estimates:
##   mean of x   mean of y 
##    5473.992 4416836.872
t.test(RoomRent,HotelPincode)
## 
##  Welch Two Sample t-test
## 
## data:  RoomRent and HotelPincode
## t = -173.45, df = 13252, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -396385.7 -387526.8
## sample estimates:
##  mean of x  mean of y 
##   5473.992 397430.265
t.test(RoomRent,Airport)
## 
##  Welch Two Sample t-test
## 
## data:  RoomRent and Airport
## t = 85.535, df = 13231, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  5327.875 5577.792
## sample estimates:
##  mean of x  mean of y 
## 5473.99184   21.15874

Note that the echo = FALSE parameter was added to the code chunk to prevent printing of the R code that generated the plot.