Kira Plastinina customer behaviour analysis
victoria
2022-03-26
Analysis on Kira Plastinina to study customer behavior analysis using Unsupervised learning .
1.Defining the Question
a)Specifying the Question
Kira Plastinina’s brand Sales and Marketing team would like to understand their customer’s behavior from data that they have collected over the past year.
Learn the characteristics of customer groups of Kira Plastinina
Perform clustering stating insights drawn from your analysis and visualizations.
Upon implementation, provide comparisons between the approaches learned this week i.e. K-Means clustering vs Hierarchical clustering highlighting the strengths and limitations of each approach in the context of your analysis.
b) Defining the Metric for Success
To use Unsupervised learning algorithms on the given data to extract useful information on customer behavior.
c) Understanding the context
Kira Plastinina is a Russian brand that is sold through a defunct chain of retail stores in Russia, Ukraine, Kazakhstan, Belarus, China, Philippines, and Armenia. The brand’s Sales and Marketing team would like to understand their customer’s behavior from data that they have collected over the past year.
The dataset consists of 10 numerical and 8 categorical attributes. The ‘Revenue’ attribute can be used as the class label.
“Administrative”, “Administrative Duration”, “Informational”, “Informational Duration”, “Product Related” and “Product Related Duration” represents the number of different types of pages visited by the visitor in that session and total time spent in each of these page categories. The values of these features are derived from the URL information of the pages visited by the user and updated in real-time when a user takes an action, e.g. moving from one page to another.
The “Bounce Rate”, “Exit Rate” and “Page Value” features represent the metrics measured by “Google Analytics” for each page in the e-commerce site.
The value of the “Bounce Rate” feature for a web page refers to the percentage of visitors who enter the site from that page and then leave (“bounce”) without triggering any other requests to the analytics server during that session.
The value of the “Exit Rate” feature for a specific web page is calculated as for all pageviews to the page, the percentage that was the last in the session.
The “Page Value” feature represents the average value for a web page that a user visited before completing an e-commerce transaction.
The “Special Day” feature indicates the closeness of the site visiting time to a specific special day (e.g. Mother’s Day, Valentine’s Day) in which the sessions are more likely to be finalized with the transaction. The value of this attribute is determined by considering the dynamics of e-commerce such as the duration between the order date and delivery date. For example, for Valentina’s day, this value takes a nonzero value between February 2 and February 12, zero before and after this date unless it is close to another special day, and its maximum value of 1 on February 8.
The dataset also includes the operating system, browser, region, traffic type, visitor type as returning or new visitor, a Boolean value indicating whether the date of the visit is weekend, and month of the year.
d) Recording the Experimental Design
Define the question, the metric for success, the context, experimental design taken.
Read and explore the given dataset.
Define the appropriateness of the available data to answer the given question.
Find and deal with outliers, anomalies, and missing data within the dataset.
Perform univariate, bivariate recording your observations.
Perform Clustering.
Recommendation and conclusions
e) Data Relevance
The link to the dataset [http://bit.ly/EcommerceCustomersDataset].
Loading libraries
library(Hmisc)## Loading required package: lattice## Loading required package: survival## Loading required package: Formula## Loading required package: ggplot2##
## Attaching package: 'Hmisc'## The following objects are masked from 'package:base':
##
## format.pval, unitslibrary(ggcorrplot)library(moments)library(corrplot)## corrplot 0.92 loadedlibrary(factoextra)## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBalibrary(cluster)library(purrr)2. Reading the Data
Loading the dataset
customer<-read.csv('http://bit.ly/EcommerceCustomersDataset')3. Data Understanding
checking for first 5 rows
head(customer)## Administrative Administrative_Duration Informational Informational_Duration
## 1 0 0 0 0
## 2 0 0 0 0
## 3 0 -1 0 -1
## 4 0 0 0 0
## 5 0 0 0 0
## 6 0 0 0 0
## ProductRelated ProductRelated_Duration BounceRates ExitRates PageValues
## 1 1 0.000000 0.20000000 0.2000000 0
## 2 2 64.000000 0.00000000 0.1000000 0
## 3 1 -1.000000 0.20000000 0.2000000 0
## 4 2 2.666667 0.05000000 0.1400000 0
## 5 10 627.500000 0.02000000 0.0500000 0
## 6 19 154.216667 0.01578947 0.0245614 0
## SpecialDay Month OperatingSystems Browser Region TrafficType
## 1 0 Feb 1 1 1 1
## 2 0 Feb 2 2 1 2
## 3 0 Feb 4 1 9 3
## 4 0 Feb 3 2 2 4
## 5 0 Feb 3 3 1 4
## 6 0 Feb 2 2 1 3
## VisitorType Weekend Revenue
## 1 Returning_Visitor FALSE FALSE
## 2 Returning_Visitor FALSE FALSE
## 3 Returning_Visitor FALSE FALSE
## 4 Returning_Visitor FALSE FALSE
## 5 Returning_Visitor TRUE FALSE
## 6 Returning_Visitor FALSE FALSEchecking for last 5 rows
tail(customer)## Administrative Administrative_Duration Informational
## 12325 0 0 1
## 12326 3 145 0
## 12327 0 0 0
## 12328 0 0 0
## 12329 4 75 0
## 12330 0 0 0
## Informational_Duration ProductRelated ProductRelated_Duration BounceRates
## 12325 0 16 503.000 0.000000000
## 12326 0 53 1783.792 0.007142857
## 12327 0 5 465.750 0.000000000
## 12328 0 6 184.250 0.083333333
## 12329 0 15 346.000 0.000000000
## 12330 0 3 21.250 0.000000000
## ExitRates PageValues SpecialDay Month OperatingSystems Browser Region
## 12325 0.03764706 0.00000 0 Nov 2 2 1
## 12326 0.02903061 12.24172 0 Dec 4 6 1
## 12327 0.02133333 0.00000 0 Nov 3 2 1
## 12328 0.08666667 0.00000 0 Nov 3 2 1
## 12329 0.02105263 0.00000 0 Nov 2 2 3
## 12330 0.06666667 0.00000 0 Nov 3 2 1
## TrafficType VisitorType Weekend Revenue
## 12325 1 Returning_Visitor FALSE FALSE
## 12326 1 Returning_Visitor TRUE FALSE
## 12327 8 Returning_Visitor TRUE FALSE
## 12328 13 Returning_Visitor TRUE FALSE
## 12329 11 Returning_Visitor FALSE FALSE
## 12330 2 New_Visitor TRUE FALSEchecking for data types
str(customer)## 'data.frame': 12330 obs. of 18 variables:
## $ Administrative : int 0 0 0 0 0 0 0 1 0 0 ...
## $ Administrative_Duration: num 0 0 -1 0 0 0 -1 -1 0 0 ...
## $ Informational : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Informational_Duration : num 0 0 -1 0 0 0 -1 -1 0 0 ...
## $ ProductRelated : int 1 2 1 2 10 19 1 1 2 3 ...
## $ ProductRelated_Duration: num 0 64 -1 2.67 627.5 ...
## $ BounceRates : num 0.2 0 0.2 0.05 0.02 ...
## $ ExitRates : num 0.2 0.1 0.2 0.14 0.05 ...
## $ PageValues : num 0 0 0 0 0 0 0 0 0 0 ...
## $ SpecialDay : num 0 0 0 0 0 0 0.4 0 0.8 0.4 ...
## $ Month : chr "Feb" "Feb" "Feb" "Feb" ...
## $ OperatingSystems : int 1 2 4 3 3 2 2 1 2 2 ...
## $ Browser : int 1 2 1 2 3 2 4 2 2 4 ...
## $ Region : int 1 1 9 2 1 1 3 1 2 1 ...
## $ TrafficType : int 1 2 3 4 4 3 3 5 3 2 ...
## $ VisitorType : chr "Returning_Visitor" "Returning_Visitor" "Returning_Visitor" "Returning_Visitor" ...
## $ Weekend : logi FALSE FALSE FALSE FALSE TRUE FALSE ...
## $ Revenue : logi FALSE FALSE FALSE FALSE FALSE FALSE ...We have integer, logical,character and double datatypes in our dataset
library(dplyr)##
## Attaching package: 'dplyr'## The following objects are masked from 'package:Hmisc':
##
## src, summarize## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, unionglimpse(customer)## Rows: 12,330
## Columns: 18
## $ Administrative <int> 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2~
## $ Administrative_Duration <dbl> 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0~
## $ Informational <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0~
## $ Informational_Duration <dbl> 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0~
## $ ProductRelated <int> 1, 2, 1, 2, 10, 19, 1, 1, 2, 3, 3, 16, 7, 6, 2~
## $ ProductRelated_Duration <dbl> 0.000000, 64.000000, -1.000000, 2.666667, 627.~
## $ BounceRates <dbl> 0.200000000, 0.000000000, 0.200000000, 0.05000~
## $ ExitRates <dbl> 0.200000000, 0.100000000, 0.200000000, 0.14000~
## $ PageValues <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0~
## $ SpecialDay <dbl> 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.4, 0.0, 0.8, 0~
## $ Month <chr> "Feb", "Feb", "Feb", "Feb", "Feb", "Feb", "Feb~
## $ OperatingSystems <int> 1, 2, 4, 3, 3, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 1~
## $ Browser <int> 1, 2, 1, 2, 3, 2, 4, 2, 2, 4, 1, 1, 1, 5, 2, 1~
## $ Region <int> 1, 1, 9, 2, 1, 1, 3, 1, 2, 1, 3, 4, 1, 1, 3, 9~
## $ TrafficType <int> 1, 2, 3, 4, 4, 3, 3, 5, 3, 2, 3, 3, 3, 3, 3, 3~
## $ VisitorType <chr> "Returning_Visitor", "Returning_Visitor", "Ret~
## $ Weekend <lgl> FALSE, FALSE, FALSE, FALSE, TRUE, FALSE, FALSE~
## $ Revenue <lgl> FALSE, FALSE, FALSE, FALSE, FALSE, FALSE, FALS~dim(customer)## [1] 12330 18the dataset has 12,330 records and 18 variables
A description of the dataset
summary(customer)## Administrative Administrative_Duration Informational
## Min. : 0.000 Min. : -1.00 Min. : 0.000
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 0.000
## Median : 1.000 Median : 8.00 Median : 0.000
## Mean : 2.318 Mean : 80.91 Mean : 0.504
## 3rd Qu.: 4.000 3rd Qu.: 93.50 3rd Qu.: 0.000
## Max. :27.000 Max. :3398.75 Max. :24.000
## NA's :14 NA's :14 NA's :14
## Informational_Duration ProductRelated ProductRelated_Duration
## Min. : -1.00 Min. : 0.00 Min. : -1.0
## 1st Qu.: 0.00 1st Qu.: 7.00 1st Qu.: 185.0
## Median : 0.00 Median : 18.00 Median : 599.8
## Mean : 34.51 Mean : 31.76 Mean : 1196.0
## 3rd Qu.: 0.00 3rd Qu.: 38.00 3rd Qu.: 1466.5
## Max. :2549.38 Max. :705.00 Max. :63973.5
## NA's :14 NA's :14 NA's :14
## BounceRates ExitRates PageValues SpecialDay
## Min. :0.000000 Min. :0.00000 Min. : 0.000 Min. :0.00000
## 1st Qu.:0.000000 1st Qu.:0.01429 1st Qu.: 0.000 1st Qu.:0.00000
## Median :0.003119 Median :0.02512 Median : 0.000 Median :0.00000
## Mean :0.022152 Mean :0.04300 Mean : 5.889 Mean :0.06143
## 3rd Qu.:0.016684 3rd Qu.:0.05000 3rd Qu.: 0.000 3rd Qu.:0.00000
## Max. :0.200000 Max. :0.20000 Max. :361.764 Max. :1.00000
## NA's :14 NA's :14
## Month OperatingSystems Browser Region
## Length:12330 Min. :1.000 Min. : 1.000 Min. :1.000
## Class :character 1st Qu.:2.000 1st Qu.: 2.000 1st Qu.:1.000
## Mode :character Median :2.000 Median : 2.000 Median :3.000
## Mean :2.124 Mean : 2.357 Mean :3.147
## 3rd Qu.:3.000 3rd Qu.: 2.000 3rd Qu.:4.000
## Max. :8.000 Max. :13.000 Max. :9.000
##
## TrafficType VisitorType Weekend Revenue
## Min. : 1.00 Length:12330 Mode :logical Mode :logical
## 1st Qu.: 2.00 Class :character FALSE:9462 FALSE:10422
## Median : 2.00 Mode :character TRUE :2868 TRUE :1908
## Mean : 4.07
## 3rd Qu.: 4.00
## Max. :20.00
## 4.0 Data Cleaning
4.1 Completeness
# checking for the sum of missing values in each column
colSums(is.na(customer))## Administrative Administrative_Duration Informational
## 14 14 14
## Informational_Duration ProductRelated ProductRelated_Duration
## 14 14 14
## BounceRates ExitRates PageValues
## 14 14 0
## SpecialDay Month OperatingSystems
## 0 0 0
## Browser Region TrafficType
## 0 0 0
## VisitorType Weekend Revenue
## 0 0 0We have missing values in Administrative,Administrative_Duration,Informational, Informational_Duration,ProductRelated,ProductRelated_Duration, BounceRates and ExitRates variables. With all variables having 14 missing values each.
# Check the exact rows with missing values
customer[!complete.cases(customer),]## Administrative Administrative_Duration Informational
## 1066 NA NA NA
## 1133 NA NA NA
## 1134 NA NA NA
## 1135 NA NA NA
## 1136 NA NA NA
## 1137 NA NA NA
## 1474 NA NA NA
## 1475 NA NA NA
## 1476 NA NA NA
## 1477 NA NA NA
## 2038 NA NA NA
## 2039 NA NA NA
## 2040 NA NA NA
## 2754 NA NA NA
## Informational_Duration ProductRelated ProductRelated_Duration BounceRates
## 1066 NA NA NA NA
## 1133 NA NA NA NA
## 1134 NA NA NA NA
## 1135 NA NA NA NA
## 1136 NA NA NA NA
## 1137 NA NA NA NA
## 1474 NA NA NA NA
## 1475 NA NA NA NA
## 1476 NA NA NA NA
## 1477 NA NA NA NA
## 2038 NA NA NA NA
## 2039 NA NA NA NA
## 2040 NA NA NA NA
## 2754 NA NA NA NA
## ExitRates PageValues SpecialDay Month OperatingSystems Browser Region
## 1066 NA 0 0 Mar 2 2 2
## 1133 NA 0 0 Mar 1 1 1
## 1134 NA 0 0 Mar 2 4 5
## 1135 NA 0 0 Mar 2 2 1
## 1136 NA 0 0 Mar 3 2 1
## 1137 NA 0 0 Mar 2 2 1
## 1474 NA 0 0 Mar 2 2 1
## 1475 NA 0 0 Mar 1 1 6
## 1476 NA 0 0 Mar 2 2 3
## 1477 NA 0 0 Mar 1 1 2
## 2038 NA 0 0 Mar 3 2 4
## 2039 NA 0 0 Mar 2 2 1
## 2040 NA 0 0 Mar 3 2 4
## 2754 NA 0 0 May 2 2 4
## TrafficType VisitorType Weekend Revenue
## 1066 1 Returning_Visitor FALSE FALSE
## 1133 2 Returning_Visitor FALSE FALSE
## 1134 1 Returning_Visitor FALSE FALSE
## 1135 2 Returning_Visitor FALSE FALSE
## 1136 1 Returning_Visitor FALSE FALSE
## 1137 2 Returning_Visitor FALSE FALSE
## 1474 1 Returning_Visitor TRUE FALSE
## 1475 1 Returning_Visitor TRUE FALSE
## 1476 1 Returning_Visitor FALSE FALSE
## 1477 3 Returning_Visitor FALSE FALSE
## 2038 1 Returning_Visitor FALSE FALSE
## 2039 2 Returning_Visitor FALSE FALSE
## 2040 15 Returning_Visitor TRUE FALSE
## 2754 13 Returning_Visitor FALSE FALSEIt is realized that missing values are in the same rows
customer1 <- na.omit(customer)# Confirm changes made
colSums(is.na(customer1))## Administrative Administrative_Duration Informational
## 0 0 0
## Informational_Duration ProductRelated ProductRelated_Duration
## 0 0 0
## BounceRates ExitRates PageValues
## 0 0 0
## SpecialDay Month OperatingSystems
## 0 0 0
## Browser Region TrafficType
## 0 0 0
## VisitorType Weekend Revenue
## 0 0 0we have lesser records since the missing values have been cleared out .
4.2 Consistency
# checking for duplicates
sum(duplicated(customer1))## [1] 117We have 117 duplicates
# Dropping the with duplicates
customer.df <- customer1[!duplicated(customer1),]
# Let's confirm the changes made
sum(duplicated(customer.df))## [1] 0After dropping there are no more duplicates
unique(customer.df$Administrative)## [1] 0 1 2 4 12 3 10 6 5 9 8 16 13 11 7 18 14 17 19 15 24 22 21 20 23
## [26] 27 26unique(customer.df$Administrative_Duration)## [1] 0.000000 -1.000000 53.000000 64.600000 6.000000 18.000000
## [7] 9.000000 56.000000 16.000000 279.416667 87.833333 44.000000
## [13] 1005.666667 36.000000 18.333333 61.000000 31.000000 58.500000
## [19] 326.250000 22.000000 462.000000 20.000000 111.500000 103.625000
## [25] 19.000000 58.000000 9.500000 41.300000 87.000000 293.778205
## [31] 47.000000 1226.000000 52.000000 112.960784 94.000000 32.000000
## [37] 218.000000 119.000000 281.000000 40.000000 107.000000 49.000000
## [43] 57.000000 2.000000 123.000000 118.000000 38.000000 54.000000
## [49] 993.000000 74.250000 666.833333 73.000000 154.000000 49.333333
## [55] 118.500000 153.500000 72.250000 24.500000 155.631313 21.333333
## [61] 191.000000 96.500000 13.000000 1388.750000 51.000000 158.000000
## [67] 10.000000 28.000000 27.000000 15.000000 1249.809524 390.000000
## [73] 215.523809 11.000000 8.000000 171.250000 227.333333 86.000000
## [79] 7.000000 186.976191 138.000000 374.000000 14.000000 96.000000
## [85] 615.250000 111.000000 147.000000 53.166667 48.500000 21.000000
## [91] 115.333333 32.285714 277.750000 241.166667 64.000000 25.500000
## [97] 130.000000 79.000000 84.000000 41.000000 618.000000 11.888889
## [103] 51.500000 269.000000 44.500000 3.000000 90.000000 102.500000
## [109] 17.000000 213.321429 71.500000 304.000000 151.000000 199.750000
## [115] 13.500000 191.200000 197.000000 115.125000 312.750000 724.000000
## [121] 237.500000 66.333333 190.000000 174.000000 227.000000 23.000000
## [127] 26.000000 74.000000 45.000000 112.000000 37.000000 5.500000
## [133] 50.000000 113.500000 279.000000 228.000000 55.000000 112.500000
## [139] 8.500000 319.500000 97.500000 182.083333 97.000000 34.833333
## [145] 77.000000 614.166667 315.966667 47.666667 30.000000 25.000000
## [151] 359.000000 59.000000 1347.750000 280.950000 100.300000 53.380952
## [157] 416.392857 573.500000 465.833333 97.642857 148.000000 97.611111
## [163] 34.000000 37.500000 22.500000 99.333333 117.000000 16.666667
## [169] 81.500000 38.500000 156.250000 67.500000 311.409091 145.000000
## [175] 43.000000 120.000000 263.000000 72.944444 18.500000 87.333333
## [181] 99.605882 63.000000 68.000000 68.500000 135.000000 176.250000
## [187] 315.144986 523.214286 76.000000 118.666667 174.500000 201.166667
## [193] 374.875000 92.833333 4.000000 102.000000 187.000000 185.000000
## [199] 166.200000 754.109524 24.000000 17.348485 125.500000 42.000000
## [205] 95.000000 56.500000 134.928571 20.500000 11.333333 504.000000
## [211] 19.666667 76.333333 45.444444 125.166667 72.666667 100.916667
## [217] 60.000000 49.500000 466.500000 175.230769 96.857143 402.185714
## [223] 178.200000 156.500000 306.000000 72.000000 202.000000 359.300000
## [229] 39.000000 41.500000 95.500000 48.666667 294.700000 125.000000
## [235] 12.000000 10.500000 99.000000 171.083333 159.500000 5.000000
## [241] 206.000000 262.250000 62.500000 937.174603 48.000000 437.391304
## [247] 159.333333 32.500000 212.741667 16.333333 140.500000 88.000000
## [253] 110.409091 316.140503 140.000000 301.700000 421.000000 115.000000
## [259] 208.000000 193.000000 87.500000 42.181818 132.500000 163.666667
## [265] 83.000000 117.833333 55.500000 160.500000 64.333333 73.333333
## [271] 215.233333 201.500000 492.416667 146.250000 156.269048 13.619048
## [277] 352.500000 92.750000 168.000000 179.500000 274.500000 64.500000
## [283] 171.666667 311.916667 98.500000 867.922619 106.750000 241.666667
## [289] 35.000000 33.000000 152.500000 828.052632 162.000000 539.500000
## [295] 120.500000 285.011905 198.500000 224.000000 162.500000 77.500000
## [301] 192.500000 148.800000 1521.000000 112.266667 150.000000 167.500000
## [307] 345.000000 267.166667 1373.500000 29.000000 29.500000 79.333333
## [313] 139.000000 54.500000 272.500000 169.000000 59.250000 175.000000
## [319] 159.000000 247.333333 78.333333 267.500000 114.750000 164.500000
## [325] 387.500000 320.500000 122.000000 308.000000 72.500000 233.083333
## [331] 315.000000 43.500000 160.095238 177.166667 196.000000 231.000000
## [337] 1011.361111 464.000000 80.428571 61.500000 243.000000 210.666667
## [343] 156.142857 282.000000 512.833333 73.500000 184.688889 75.166667
## [349] 302.000000 117.333333 204.083333 98.000000 600.423077 132.000000
## [355] 152.833333 710.333333 83.500000 848.142857 130.833333 281.630952
## [361] 160.000000 31.333333 81.000000 91.000000 85.500000 36.333333
## [367] 110.250000 155.500000 487.500000 376.800000 985.500000 606.000000
## [373] 1640.590909 228.027778 136.555556 1.333333 310.000000 1417.500000
## [379] 960.000000 106.000000 91.888889 139.500000 178.000000 180.000000
## [385] 107.333333 211.000000 69.000000 183.250000 613.666667 11.923077
## [391] 1499.571429 1223.000000 206.333333 67.000000 242.000000 217.833333
## [397] 136.666667 739.209195 91.833333 89.750000 165.500000 134.000000
## [403] 67.071429 17.500000 69.333333 85.000000 103.000000 69.500000
## [409] 171.000000 64.142857 143.000000 221.000000 124.000000 75.000000
## [415] 219.000000 60.833333 182.648052 154.291667 108.200000 1559.750000
## [421] 249.166667 65.000000 143.166667 102.533333 197.800000 31.500000
## [427] 81.250000 149.250000 172.200000 523.916667 377.833333 129.416667
## [433] 298.666667 876.233333 129.750000 408.200000 24.428571 52.333333
## [439] 382.833333 27.500000 475.000000 210.000000 46.000000 546.000000
## [445] 47.500000 48.333333 28.500000 250.333333 77.333333 63.333333
## [451] 108.666667 230.166667 79.750000 2047.234848 14.500000 11.428571
## [457] 348.654762 187.833333 184.333333 66.000000 412.000000 1130.502941
## [463] 132.466667 82.000000 236.000000 158.333333 170.000000 217.666667
## [469] 699.166667 227.532692 78.000000 4.750000 101.333333 190.285714
## [475] 15.666667 183.000000 248.500000 146.000000 274.333333 1155.666667
## [481] 355.500000 352.000000 162.050000 45.833333 136.000000 275.000000
## [487] 161.000000 206.666667 238.375000 213.391667 156.000000 84.250000
## [493] 377.512820 137.000000 155.000000 42.600000 62.000000 55.750000
## [499] 429.333333 167.000000 110.000000 485.333333 100.000000 70.500000
## [505] 1283.000000 63.500000 24.600000 22.833333 187.277778 98.250000
## [511] 89.000000 31.600000 648.000000 18.750000 211.500000 494.166667
## [517] 511.500000 58.066667 387.600000 143.833333 11.500000 141.000000
## [523] 57.062500 12.833333 179.607143 135.650000 45.333333 39.600000
## [529] 309.000000 456.988095 78.500000 99.500000 333.000000 825.000000
## [535] 203.833333 195.316667 74.333333 80.666667 156.716667 172.000000
## [541] 324.300000 413.500000 75.050000 354.833333 169.500000 104.000000
## [547] 765.666667 214.882353 15.500000 702.000000 188.000000 352.242857
## [553] 73.750000 221.500000 82.500000 92.000000 183.500000 139.681818
## [559] 50.500000 124.125000 55.325758 241.766667 145.500000 28.666667
## [565] 253.000000 220.333333 445.333333 654.775000 35.125000 222.500000
## [571] 200.833333 33.500000 243.666667 148.500000 129.500000 223.000000
## [577] 46.500000 254.000000 85.666667 154.500000 598.000000 226.954545
## [583] 97.882353 515.600000 397.500000 16.500000 22.750000 238.466667
## [589] 175.933333 675.333333 129.000000 144.000000 89.500000 91.750000
## [595] 296.000000 269.166667 168.750000 430.833333 150.500000 724.500000
## [601] 7.500000 130.500000 228.125000 133.166667 357.250000 418.666667
## [607] 335.119048 329.297619 91.984848 153.275000 527.000000 135.500000
## [613] 133.500000 186.100000 43.400000 32.666667 86.200000 299.000000
## [619] 295.694056 177.000000 187.266667 587.000000 76.500000 161.764411
## [625] 36.500000 80.000000 75.846154 240.200000 29.333333 152.875000
## [631] 76.750000 353.000000 275.910444 104.500000 43.100000 92.250000
## [637] 135.916667 119.150000 107.533333 61.166667 39.500000 217.000000
## [643] 124.500000 277.666667 398.700000 147.750000 149.500000 42.333333
## [649] 200.500000 424.166667 65.166667 220.000000 389.750000 118.700000
## [655] 281.750000 513.553571 131.750000 4.500000 181.166667 1687.500000
## [661] 431.000000 210.855556 58.333333 92.500000 70.000000 427.000000
## [667] 662.535714 626.000000 109.000000 131.333333 128.571429 230.333333
## [673] 245.333333 337.000000 117.500000 105.500000 109.500000 47.166667
## [679] 71.300000 750.750000 121.666667 70.833333 86.083333 252.500000
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## [871] 338.000000 844.000000 13.333333 324.500000 241.000000 284.850000
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## [907] 276.866667 1321.250000 190.583333 131.000000 397.833333 251.000000
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## [937] 362.000000 157.000000 820.800000 316.833333 235.000000 367.000000
## [943] 51.019231 165.000000 38.166667 375.278571 96.250000 40.666667
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## [967] 543.000000 9.166667 245.166667 246.500000 156.900000 74.214286
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## [979] 203.500000 1271.500000 313.033333 61.196429 602.000000 157.058333
## [985] 279.500000 334.750000 282.500000 46.333333 321.666667 84.666667
## [991] 253.900000 105.750000 512.000000 975.750000 143.800000 129.666667
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## [1057] 25.400000 406.416667 6.400000 179.000000 271.333333 280.000000
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## [1081] 173.250000 281.333333 515.000000 195.000000 1064.000000 208.266667
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## [1099] 141.761905 82.234848 213.433333 313.866667 25.200000 152.000000
## [1105] 40.250000 43.750000 182.000000 248.800000 189.221515 89.800000
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## [1117] 98.666667 141.500000 149.916667 26.416667 48.833333 88.628571
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## [1129] 394.100000 56.200000 104.113636 1023.000000 341.400000 117.023809
## [1135] 449.250000 121.166667 233.000000 224.583333 268.000000 46.400000
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## [1147] 595.100000 212.000000 27.533333 133.583333 136.333333 417.250000
## [1153] 114.500000 124.861111 236.250000 57.833333 440.104167 290.860369
## [1159] 683.000000 115.600000 170.833333 42.500000 105.428571 197.666667
## [1165] 27.583333 81.666667 470.000000 120.250000 156.800000 417.000000
## [1171] 285.800000 1172.000000 237.250000 611.047059 586.648019 363.333333
## [1177] 154.791667 183.708333 255.716667 194.036232 201.333333 134.750000
## [1183] 310.633333 699.000000 248.000000 363.875000 38.305556 130.333333
## [1189] 131.995614 147.666667 249.500000 356.000000 169.566667 46.272727
## [1195] 2629.253968 79.500000 70.666667 176.500000 286.833333 134.766667
## [1201] 187.166667 505.500000 703.500000 325.333333 190.250000 189.214286
## [1207] 86.600000 238.400000 200.583333 261.000000 204.387500 181.000000
## [1213] 64.250000 215.200000 62.142857 30.250000 181.333333 183.750000
## [1219] 63.600000 443.291667 32.750000 200.523809 138.333333 63.166667
## [1225] 69.833333 313.000000 292.190476 52.400000 132.666667 250.000000
## [1231] 771.928571 295.666667 184.000000 154.833333 200.222222 33.666667
## [1237] 24.166667 194.416667 453.000000 101.666667 316.500000 309.250000
## [1243] 35.500000 85.928571 40.200000 63.400000 618.066667 152.600000
## [1249] 56.300000 39.200000 89.600000 104.300000 204.200000 180.133333
## [1255] 41.200000 101.800000 26.200000 79.600000 227.900000 47.400000
## [1261] 196.600000 33.200000 55.400000 1222.400000 13.733333 23.200000
## [1267] 150.700000 66.600000 92.600000 1013.056909 48.400000 57.400000
## [1273] 297.600000 56.733333 38.600000 545.650000 94.600000 28.800000
## [1279] 46.520000 41.400000 82.140000 397.700000 932.797143 56.800000
## [1285] 89.980000 234.566667 196.880000 60.200000 271.000000 85.200000
## [1291] 62.466667 164.066667 189.264615 5.066667 94.700000 45.400000
## [1297] 38.800000 82.600000 850.000000 585.800000 491.666667 340.900000
## [1303] 112.800000 698.133333 32.200000 16.600000 54.200000 455.066667
## [1309] 601.900000 136.500000 49.300000 278.666667 118.800000 17.100000
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## [1321] 80.600000 137.900000 9.600000 161.200000 301.000000 45.200000
## [1327] 167.400000 19.400000 157.400000 459.500000 42.200000 69.600000
## [1333] 66.550000 103.733333 60.400000 423.600000 63.683333 96.600000
## [1339] 628.366667 13.100000 58.400000 61.633333 68.800000 11.600000
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## [1357] 15.200000 96.400000 66.400000 28.733333 661.766667 53.400000
## [1363] 23.800000 23.960000 358.258333 31.200000 199.850000 59.900000
## [1369] 265.043333 68.733333 219.933333 70.600000 166.700000 54.400000
## [1375] 152.100000 106.800000 275.084444 17.200000 189.483333 33.600000
## [1381] 304.600000 102.800000 353.400000 151.333333 36.200000 208.513333
## [1387] 175.866667 1672.033333 187.100000 133.350000 570.266667 238.683809
## [1393] 144.833333 40.800000 122.200000 68.600000 242.633333 17.945455
## [1399] 80.500000 158.200000 180.800000 2720.500000 154.600000 10.300000
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## [1411] 115.400000 28.200000 40.900000 275.333333 35.200000 246.533333
## [1417] 245.800000 391.683333 43.466667 452.500000 123.200000 35.300000
## [1423] 96.800000 71.700000 631.107317 94.840000 196.150000 215.600000
## [1429] 88.280000 271.750000 8.100000 195.400000 71.333333 25.600000
## [1435] 103.900000 603.800000 61.400000 134.100000 65.400000 456.233333
## [1441] 95.300000 15.800000 30.866667 498.980965 84.345455 32.700000
## [1447] 438.800000 181.816667 49.400000 141.058333 112.270000 227.480000
## [1453] 37.200000 267.800000 107.800000 232.340476 50.946154 603.900000
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## [1489] 177.600000 103.800000 230.100000 228.350000 381.500000 188.500000
## [1495] 34.200000 160.200000 29.200000 59.860000 399.800000 344.200000
## [1501] 108.533333 408.600000 91.600000 77.100000 1013.886667 117.666667
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## [1519] 57.300000 40.600000 91.200000 102.866667 110.786667 14.200000
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## [1537] 102.300000 79.220000 51.400000 92.571429 112.900000 67.200000
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## [1555] 82.533333 227.600000 273.660000 32.600000 381.800000 423.100000
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## [1579] 2407.423810 60.366667 78.513333 117.320000 67.600000 137.500000
## [1585] 89.250000 1104.200000 56.400000 73.600000 279.266667 318.266667
## [1591] 217.649123 317.914286 30.300000 289.000000 33.466667 50.373333
## [1597] 50.933333 397.264444 105.466667 306.460000 67.866667 60.800000
## [1603] 779.000000 778.400000 28.057143 76.600000 368.400000 54.333333
## [1609] 87.800000 58.600000 190.400000 213.600000 293.633333 54.933333
## [1615] 27.200000 322.350000 96.186667 254.253245 169.200000 86.950000
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## [1669] 29.440000 158.670450 24.200000 356.600000 249.800000 315.845679
## [1675] 15.100000 19.800000 143.066667 65.680000 140.900000 12.100000
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## [1687] 432.200000 251.309091 113.100000 38.300000 43.733333 131.340000
## [1693] 385.566667 59.533333 119.400000 82.957143 89.333333 66.266667
## [1699] 98.466667 667.250000 206.030000 109.800000 149.031609 86.100000
## [1705] 903.700000 236.800000 24.133333 82.011111 416.200000 125.453333
## [1711] 319.400000 114.200000 165.200000 191.400000 484.461579 419.179525
## [1717] 149.950000 36.866667 202.133333 34.300000 70.933333 243.650000
## [1723] 170.150000 30.200000 49.200000 98.100000 706.556667 88.600000
## [1729] 84.600000 85.100000 91.900000 99.200000 175.100000 80.066667
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## [1747] 132.920000 260.736111 162.625000 287.500000 189.800000 129.900000
## [1753] 50.066667 31.700000 159.700000 246.600000 173.411551 217.400000
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## [1765] 140.166667 515.613333 19.200000 168.700000 178.920000 46.300000
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## [1777] 1660.300000 913.522222 180.066667 74.400000 73.958333 177.200000
## [1783] 94.866667 33.400000 327.235714 16.200000 54.800000 341.816667
## [1789] 240.800000 199.456273 666.200000 446.383333 106.600000 221.727917
## [1795] 141.633333 391.300000 73.300000 178.300000 176.913333 26.700000
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## [1807] 135.283333 519.000000 29.533333 216.600000 79.400000 122.517143
## [1813] 69.800000 202.100000 85.166667 55.050000 21.100000 430.157017
## [1819] 71.600000 53.300000 175.480000 287.700000 150.133333 83.400000
## [1825] 140.550000 449.816667 123.433333 78.600000 52.700000 76.150000
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## [1837] 161.668571 285.200000 113.700000 215.244507 29.866667 128.800000
## [1843] 213.000000 337.580000 69.900000 93.800000 214.783333 420.100000
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## [1855] 132.050000 224.800000 242.800000 91.650000 86.061905 231.900000
## [1861] 151.800000 1305.114737 109.400000 76.800000 120.600000 110.566667
## [1867] 146.600000 147.400000 47.800000 213.972222 1427.025000 295.200000
## [1873] 196.550000 19.100000 32.066667 253.150000 275.740000 327.400000
## [1879] 183.600000 101.200000 28.583333 92.101515 279.280000 410.550000
## [1885] 1097.016667 253.066667 102.200000 96.160606 176.680000 54.900000
## [1891] 150.200000 257.400000 10.771429 88.700000 251.814286 119.800000
## [1897] 287.000000 35.400000 344.100000 119.029508 62.600000 78.900000
## [1903] 19.600000 88.190476 104.200000 90.600000 456.900000 428.022222
## [1909] 205.700000 39.700000 221.330000 46.900000 124.426667 659.506667
## [1915] 135.100000 360.916667 445.350000 219.475000 168.850000 92.100000
## [1921] 299.450000 337.600000 120.900000 61.266667 162.200000 314.610714
## [1927] 97.800000 549.000000 70.400000 52.466667 593.466667 44.200000
## [1933] 398.000000 54.600000 128.114286 287.200000 43.950000 66.200000
## [1939] 51.480000 345.016667 218.800000 373.620000 193.400000 318.200000
## [1945] 225.220000 141.600000 240.100000 109.200000 346.000000 60.733333
## [1951] 114.080000 91.316667 170.926357 146.300000 35.800000 153.566667
## [1957] 174.600000 178.799550 128.000000 390.870000 291.235714 60.500000
## [1963] 218.966667 101.851111 405.550000 75.400000 85.966667 192.433333
## [1969] 136.100000 473.166667 341.600000 79.933333 202.400000 134.373333
## [1975] 93.600000 168.400000 109.600000 111.930000 180.900000 337.900000
## [1981] 130.300000 48.350000 177.880000 234.433333 380.433333 102.400000
## [1987] 149.200000 382.346667 266.700000 504.300000 250.800000 256.100000
## [1993] 312.800000 259.183333 301.077778 106.300000 116.200000 39.400000
## [1999] 81.200000 98.850000 30.700000 831.622222 292.300000 335.800000
## [2005] 203.280000 302.900000 353.700000 105.266667 185.800000 35.100000
## [2011] 145.883333 116.800000 174.750000 146.900000 108.800000 433.800000
## [2017] 95.600000 204.100000 400.650000 118.550000 257.093333 33.866667
## [2023] 97.600000 158.355564 264.000000 10.100000 296.200000 229.800000
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## [2035] 36.050000 260.100000 198.990000 407.570000 44.400000 171.733333
## [2041] 145.980000 71.100000 187.716667 420.066667 153.200000 265.000000
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## [2071] 240.900000 77.600000 150.600000 4.333333 72.573333 85.600000
## [2077] 233.622404 611.033333 95.100000 50.900000 74.600000 822.766667
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## [2089] 466.616667 93.900000 159.200000 825.940018 92.933333 246.800000
## [2095] 263.460000 551.794444 90.100000 128.809524 148.900000 71.200000
## [2101] 45.700000 164.466667 352.233333 1178.600000 51.200000 181.073333
## [2107] 169.350000 369.833333 107.700000 237.832601 93.300000 343.066667
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## [2131] 140.573333 229.000000 165.100000 237.000000 286.533333 75.866667
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## [2149] 83.166667 138.100000 93.106667 36.703297 66.760000 245.933333
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## [2161] 73.200000 115.727273 473.700000 203.600000 72.400000 107.750000
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## [2173] 325.480000 174.457143 285.900000 247.100000 141.838889 196.250000
## [2179] 163.000000 38.577778 133.866667 69.100000 142.133333 206.600000
## [2185] 182.700000 121.400000 171.900000 342.100000 133.466667 72.040000
## [2191] 44.300000 82.850000 70.207650 42.100000 69.033333 508.800000
## [2197] 18.100000 154.933333 82.700000 94.233333 23.533333 216.400000
## [2203] 821.075410 7.600000 277.800000 62.133333 55.800000 64.666667
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## [636] 600.750000 2302.021242 1636.016667 519.750000 673.000000
## [641] 173.500000 156.533333 574.533333 548.333333 6682.677557
## [646] 1671.375000 1390.166667 2503.881781 520.666667 423.816667
## [651] 1114.916667 1678.905125 438.866667 505.583333 203.500000
## [656] 818.791667 490.000000 645.916667 142.000000 672.500000
## [661] 1090.490476 30.000000 244.166667 129.500000 1734.780952
## [666] 145.000000 1106.333333 684.916667 3120.211102 1178.666667
## [671] 12983.787710 558.000000 893.511111 26.500000 708.533333
## [676] 244.000000 130.000000 1282.500000 1981.016667 186.500000
## [681] 119.000000 1310.500000 1111.000000 1066.500000 110.500000
## [686] 850.533333 49.000000 214.250000 141.833333 143.500000
## [691] 5818.916667 1461.666667 123.000000 2049.458471 271.716667
## [696] 1279.166667 70.500000 231.181818 1567.966667 119.333333
## [701] 605.885714 502.547619 808.700000 494.500000 203.150000
## [706] 1656.316667 1420.250000 721.000000 1433.916667 478.833333
## [711] 182.000000 1974.352381 223.583333 817.416667 750.166667
## [716] 4699.277778 1030.266667 776.019048 520.333333 349.500000
## [721] 754.500000 305.000000 399.851190 696.666667 2756.215152
## [726] 425.166667 1781.696970 296.166667 1792.800000 515.575758
## [731] 1334.551371 624.583333 1284.663492 316.500000 925.833333
## [736] 28.000000 633.400000 3909.368290 915.166667 137.333333
## [741] 778.166667 1842.950000 1206.000000 324.500000 1054.944444
## [746] 402.166667 352.000000 751.800000 465.500000 585.000000
## [751] 253.500000 46.500000 3065.945238 2099.930554 158.500000
## [756] 250.500000 3960.646154 280.000000 281.547619 2004.500000
## [761] 967.210697 100.000000 73.214286 789.350000 1281.000000
## [766] 1115.266667 341.291667 3000.666667 1715.687897 31.000000
## [771] 1027.657143 196.500000 2284.687302 1503.490909 271.333333
## [776] 97.333333 161.333333 1006.257576 869.900000 479.866667
## [781] 229.500000 606.000000 881.441667 371.666667 2798.073810
## [786] 1185.666667 60.000000 6770.274267 337.250000 323.916667
## [791] 1142.816919 207.000000 11.000000 354.000000 277.142857
## [796] 411.625000 392.142857 3135.517677 1127.288305 954.470238
## [801] 3506.166667 370.380952 139.250000 270.500000 321.000000
## [806] 64.750000 927.277778 141.166667 7221.000000 218.500000
## [811] 262.500000 469.416667 1240.916667 101.000000 62.500000
## [816] 1349.000000 331.250000 157.571429 224.958333 1152.500000
## [821] 2292.679762 329.000000 111.666667 1074.428571 1080.047619
## [826] 666.946429 279.900000 1674.000000 480.966667 1841.171429
## [831] 37.500000 131.300000 78.333333 114.600000 671.000000
## [836] 624.000000 448.750000 79.500000 189.500000 2190.666667
## [841] 2502.816667 1778.125214 49.500000 663.500000 284.900000
## [846] 576.083333 79.000000 4566.952839 8646.000000 600.500000
## [851] 434.500000 499.400000 1694.797619 1306.151974 61.000000
## [856] 1165.333333 70.833333 649.307143 1647.152381 3135.442572
## [861] 181.333333 465.833333 112.000000 952.966667 372.833333
## [866] 327.000000 1057.000000 2264.333333 866.000000 701.542424
## [871] 979.083333 324.769231 1682.870247 210.000000 1610.916667
## [876] 1188.566667 1663.683333 930.300000 1003.000000 69.000000
## [881] 1199.725758 1524.058333 1229.766667 972.600000 438.433333
## [886] 333.000000 504.233333 845.500000 744.500000 1129.000000
## [891] 358.000000 832.000000 36.500000 157.000000 71.333333
## [896] 1054.309524 308.166667 229.250000 225.833333 326.583333
## [901] 3486.690476 863.333333 1405.131241 1031.704762 917.083333
## [906] 573.657143 238.166667 164.000000 750.590476 1834.083333
## [911] 606.833333 509.121429 5900.351378 449.333333 200.000000
## [916] 946.166667 514.000000 1180.500000 771.500000 1096.750000
## [921] 381.666667 1509.594444 1181.198413 1394.666667 326.000000
## [926] 459.830769 2043.500000 663.466667 7669.250794 115.166667
## [931] 296.450000 2633.869048 392.000000 748.666667 834.666667
## [936] 497.333333 631.989682 315.600000 183.333333 192.166667
## [941] 1296.600000 698.000000 1093.142857 2397.500000 196.200000
## [946] 39.666667 408.333333 906.566667 149.000000 1224.750000
## [951] 1262.000000 115.666667 321.500000 3552.702381 716.357143
## [956] 343.000000 3763.166667 1883.827222 251.666667 1413.333333
## [961] 83.000000 584.500000 940.833333 791.666667 4346.541667
## [966] 50.500000 2593.741667 1518.761111 365.400000 468.000000
## [971] 7533.272727 1059.000000 892.000000 430.500000 132.633333
## [976] 363.318182 73.000000 612.000000 595.009524 1813.208333
## [981] 102.000000 1278.090909 996.516667 69.500000 1530.248485
## [986] 2595.280952 471.500000 923.675735 3946.008333 648.400000
## [991] 263.000000 193.000000 38.000000 1077.869048 266.333333
## [996] 67.500000 499.666667 286.000000 112.728571 1571.000000
## [1001] 241.000000 187.000000 451.000000 1741.483333 838.683333
## [1006] 406.000000 437.187500 898.500000 215.750000 266.583333
## [1011] 546.000000 2156.000000 557.166667 461.050000 1473.333333
## [1016] 474.833333 500.000000 369.000000 136.666667 243.200000
## [1021] 459.000000 441.466667 328.000000 518.666667 631.458333
## [1026] 1849.833333 436.000000 850.333333 457.795727 143.000000
## [1031] 3224.819084 1038.845238 216.000000 363.666667 1314.250000
## [1036] 146.000000 228.000000 419.750000 395.222222 945.010870
## [1041] 90.000000 936.833333 447.500000 416.400000 1051.248276
## [1046] 1218.000000 756.333333 151.500000 1387.606061 1418.000000
## [1051] 437.222222 411.500000 474.666667 1415.625000 1448.752381
## [1056] 2777.666667 1436.500000 224.000000 3087.000000 3424.583333
## [1061] 1418.500000 423.000000 651.400000 249.500000 337.000000
## [1066] 1377.769697 66.833333 957.000000 1166.726190 4099.737392
## [1071] 205.976191 1644.000000 268.000000 2905.943651 419.000000
## [1076] 279.000000 1286.688889 1616.083333 2755.670940 655.783333
## [1081] 917.350000 353.000000 835.833333 338.127273 1572.571429
## [1086] 1321.059195 502.458333 1424.928571 2448.784448 1480.666667
## [1091] 25.500000 952.434524 854.333333 39.000000 1332.833333
## [1096] 467.916667 674.250000 2207.391667 300.000000 177.500000
## [1101] 311.500000 486.516667 1418.250000 391.850000 142.666667
## [1106] 1659.319697 1560.601163 1451.227362 2588.958333 496.583333
## [1111] 678.273809 163.000000 286.500000 1395.258333 416.666667
## [1116] 413.800000 403.000000 106.000000 515.000000 1720.000000
## [1121] 226.500000 130.166667 192.933333 745.333333 233.000000
## [1126] 1409.809524 448.500000 73.750000 386.150000 638.833333
## [1131] 489.583333 660.816667 1489.144444 2270.833333 121.000000
## [1136] 296.000000 481.833333 309.933333 851.000000 88.333333
## [1141] 893.100000 526.333333 535.345960 884.633333 2175.993651
## [1146] 1028.116667 93.000000 1373.464719 991.367857 1.000000
## [1151] 147.250000 1225.500000 183.000000 250.800000 148.250000
## [1156] 504.083333 1650.416667 2743.216667 1288.533333 1663.761905
## [1161] 1165.583333 1038.916667 1302.500000 172.500000 925.947619
## [1166] 1524.702381 288.000000 1476.300000 685.000000 2396.690316
## [1171] 451.833333 1512.523810 306.500000 3332.293511 2815.416667
## [1176] 956.500000 1500.422543 2271.000000 588.166667 1212.809524
## [1181] 792.722222 439.523810 525.266667 1337.842794 1770.625000
## [1186] 1084.500000 4261.842857 527.208333 110.000000 1733.666667
## [1191] 198.522150 504.000000 1588.666667 381.500000 1173.070000
## [1196] 878.623809 1928.000000 2735.728571 4163.797619 1728.321429
## [1201] 449.600000 243.666667 2760.716667 1503.250000 591.166667
## [1206] 402.500000 1540.583333 1561.083333 1330.300000 360.750000
## [1211] 245.500000 608.416667 708.250000 157.500000 1123.242857
## [1216] 926.633333 2808.666667 1685.266667 2124.726768 1272.916667
## [1221] 474.500000 180.333333 1607.297619 126.666667 865.277778
## [1226] 2612.357143 850.208333 556.666667 186.700000 6737.271825
## [1231] 1762.250000 8961.407671 128.000000 213.500000 849.883333
## [1236] 316.000000 4114.083333 1470.966667 189.000000 780.166667
## [1241] 73.500000 717.616667 3641.213151 1040.750000 833.233333
## [1246] 453.625000 51.250000 1229.289286 1202.000000 538.000000
## [1251] 1775.516667 638.000000 558.800000 190.000000 302.000000
## [1256] 796.957143 314.900000 789.958333 422.833333 362.000000
## [1261] 628.833333 839.500000 5764.366667 161.000000 739.833333
## [1266] 66.000000 2377.000000 381.000000 2559.898333 553.150000
## [1271] 651.000000 1957.616667 1660.222222 170.000000 47.000000
## [1276] 165.000000 406.866667 570.516667 1138.500000 2777.616667
## [1281] 463.758333 775.500000 490.066667 266.016667 1306.000000
## [1286] 634.200000 1220.433333 1750.333333 1087.250000 762.547619
## [1291] 244.500000 1010.000000 1342.666667 1593.388889 639.000000
## [1296] 521.000000 377.500000 494.666667 1003.965152 536.683333
## [1301] 3025.521713 424.000000 171.500000 1231.136508 266.500000
## [1306] 1533.000000 1300.190476 804.283333 734.583333 3113.516667
## [1311] 114.833333 95.500000 93.666667 26.000000 1136.603030
## [1316] 2989.494048 1724.250000 333.600000 334.785714 355.166667
## [1321] 456.666667 1298.500000 2258.833333 2881.133333 206.500000
## [1326] 267.833333 454.000000 717.600000 1069.168290 807.833333
## [1331] 477.000000 134.900000 314.000000 637.000000 160.500000
## [1336] 1577.000000 660.166667 89.333333 2517.048459 86.000000
## [1341] 229.750000 498.333333 1039.766667 369.166667 1669.000000
## [1346] 44.500000 140.000000 250.166667 221.200000 127.000000
## [1351] 229.333333 370.833333 1583.596154 399.693939 457.000000
## [1356] 581.416667 574.666667 1011.000000 139.833333 608.833333
## [1361] 1251.000000 264.500000 1509.800000 356.800000 598.783333
## [1366] 1141.833333 1209.802992 1107.047619 4996.666667 936.166667
## [1371] 666.100000 170.833333 1118.647186 1206.614719 2174.375000
## [1376] 330.000000 437.250000 3211.827706 3036.400000 640.666667
## [1381] 480.250000 1350.391667 976.200000 70.200000 2126.461941
## [1386] 1112.000000 409.750000 401.285714 423.833333 115.000000
## [1391] 427.166667 609.500000 547.333333 2062.890972 1077.007576
## [1396] 1606.333333 775.333333 973.500000 727.500000 710.250000
## [1401] 3644.752381 1089.750000 494.000000 2566.220887 1049.516667
## [1406] 685.950000 758.166667 1852.750000 2517.000000 751.333333
## [1411] 1549.857143 202.250000 669.967949 1088.830952 2151.000000
## [1416] 130.500000 2866.902020 608.942857 4056.175369 771.591667
## [1421] 491.100000 602.166667 77.333333 4.000000 103.666667
## [1426] 387.884615 345.383333 1001.000000 70.666667 1298.000000
## [1431] 1686.966667 370.500000 89.000000 164.333333 2244.666667
## [1436] 3246.977381 1573.233333 779.505159 2625.009524 3266.127778
## [1441] 303.250000 806.666667 465.416667 1018.000000 261.500000
## [1446] 910.000000 4270.141667 413.000000 372.800000 550.500000
## [1451] 1300.728987 68.750000 684.727273 1253.333333 331.000000
## [1456] 1791.700000 1596.672282 9128.283883 313.000000 204.000000
## [1461] 2490.138095 162.750000 9694.260714 1762.500000 2183.500000
## [1466] 234.475000 139.708333 1371.633333 711.566667 232.666667
## [1471] 51.500000 176.819363 240.000000 415.833333 200.850000
## [1476] 2372.333333 574.833333 1045.102381 971.000000 1589.273810
## [1481] 1656.666667 1246.919048 597.600000 3888.166667 2600.258333
## [1486] 709.000000 82.000000 760.250000 1362.000000 924.333333
## [1491] 1440.298918 856.752240 513.466667 748.566667 383.083333
## [1496] 976.710317 1916.633333 1266.119048 1679.833333 315.166667
## [1501] 290.000000 463.500000 1833.000000 196.000000 1200.892857
## [1506] 139.333333 665.566667 151.900000 1620.000000 1268.000000
## [1511] 969.102381 773.466667 808.166667 469.876191 823.500000
## [1516] 201.000000 1063.950000 412.000000 1789.398810 644.125000
## [1521] 529.702381 221.714286 312.333333 325.750000 2717.327381
## [1526] 3380.691558 614.944444 1274.190476 1071.611111 408.000000
## [1531] 2335.064286 18.000000 1299.383333 489.000000 233.666667
## [1536] 71.000000 1266.500000 182.583333 169.300000 1358.750000
## [1541] 131.000000 2816.438810 3484.233333 1076.500000 357.250000
## [1546] 197.000000 489.145238 610.000000 588.666667 580.200000
## [1551] 999.000000 622.000000 1005.849206 3451.751515 2217.333333
## [1556] 485.666667 484.950000 284.000000 1219.113725 574.722619
## [1561] 4053.092208 1485.416667 634.166667 1182.106162 333.750000
## [1566] 550.066667 2243.666667 2193.150794 289.850000 909.500000
## [1571] 1436.450000 1998.444081 777.500000 126.500000 598.450000
## [1576] 87.714286 1834.166667 1365.216667 1005.806061 5186.116667
## [1581] 2211.608333 167.000000 2102.581502 2003.415152 1490.552778
## [1586] 1988.658333 148.750000 134.000000 191.071429 809.245635
## [1591] 262.166667 234.992424 258.000000 133.333333 255.300000
## [1596] 1524.748377 1306.666667 224.166667 473.683333 686.400000
## [1601] 3537.991667 1896.272222 598.297619 127.500000 154.000000
## [1606] 5349.563713 98.500000 810.000000 903.000000 2973.008333
## [1611] 1093.000000 137.000000 136.750000 384.000000 1975.458333
## [1616] 758.750000 1267.155556 381.333333 1271.821212 827.646212
## [1621] 1011.500000 1267.233333 4891.972222 694.303571 4764.429997
## [1626] 1350.500000 1385.833333 285.988095 45.500000 1507.333333
## [1631] 1460.566667 214.000000 136.500000 545.571429 1244.833333
## [1636] 555.894444 429.633333 111.000000 402.690476 292.694444
## [1641] 654.066667 4990.959524 158.000000 3332.208333 4164.936905
## [1646] 1194.500000 638.333333 152.250000 631.500000 6860.632738
## [1651] 271.125000 2564.278157 896.500000 4895.022989 2293.599020
## [1656] 1449.683333 1403.841919 227.000000 461.083333 762.500000
## [1661] 74.500000 898.000000 91.000000 583.166667 392.928571
## [1666] 2819.966667 1888.500000 1801.371429 13158.666670 252.500000
## [1671] 851.333333 253.333333 717.219048 370.333333 5198.533333
## [1676] 1148.838095 152.666667 474.000000 907.500000 505.333333
## [1681] 497.000000 1103.916667 866.700000 1492.166667 137.500000
## [1686] 950.328571 1711.333333 2487.333333 829.500000 1163.333333
## [1691] 1171.333333 131.500000 81.500000 394.500000 336.000000
## [1696] 452.797619 2281.208333 1262.833333 2338.567766 597.833333
## [1701] 549.083333 1742.325216 787.200000 1239.500000 867.333333
## [1706] 4093.430519 216.166667 659.083333 2265.529221 729.000000
## [1711] 1299.500000 129.333333 122.000000 1294.251207 246.791667
## [1716] 2889.250000 3882.025758 4207.666667 199.500000 2529.750000
## [1721] 2081.000000 1845.666667 1927.031548 831.933333 706.299603
## [1726] 1888.547619 2407.322811 1528.382468 599.100000 4656.800366
## [1731] 151.200000 5378.045851 748.400000 314.833333 867.833333
## [1736] 379.000000 66.500000 994.822222 824.666667 443.933333
## [1741] 906.300000 117.000000 2424.750000 311.000000 2418.529040
## [1746] 905.600000 986.500000 3121.555556 1378.966667 3003.419048
## [1751] 2053.933333 212.500000 785.474359 316.333333 769.500000
## [1756] 298.166667 1808.333333 1184.500000 184.500000 2573.875000
## [1761] 2121.304304 4639.410534 315.366667 1464.000000 1483.550000
## [1766] 2247.608298 950.000000 6254.420122 205.000000 1570.500000
## [1771] 295.900000 524.500000 674.434524 931.500000 672.879487
## [1776] 3022.478571 877.500000 412.833333 486.500000 1221.853846
## [1781] 1370.833333 1652.000000 178.333333 1146.500000 2680.828571
## [1786] 197.500000 2295.182143 248.900000 1151.116667 830.000000
## [1791] 125.250000 2172.333333 4945.083333 358.250000 233.166667
## [1796] 528.000000 1154.766667 1522.816667 468.166667 432.500000
## [1801] 1100.916667 663.233333 2874.083333 1813.864610 214.692208
## [1806] 78.500000 534.583333 262.666667 1056.150000 1273.875000
## [1811] 875.500000 582.000000 63.666667 1443.250000 569.119048
## [1816] 386.444444 399.500000 238.500000 1506.220833 588.900000
## [1821] 1719.416667 1906.800000 457.233333 227.333333 517.500000
## [1826] 570.333333 183.095238 366.000000 280.933333 265.600000
## [1831] 109.000000 901.250000 1406.209524 972.250000 965.833333
## [1836] 236.166667 879.666667 1044.000000 901.091667 1671.257393
## [1841] 1483.366667 5538.916667 191.000000 451.933333 670.300000
## [1846] 900.916667 368.000000 1580.166667 587.691176 2471.391775
## [1851] 502.466667 3864.428571 2456.297619 2656.183333 599.000000
## [1856] 1212.000000 173.250000 599.333333 2215.866667 5284.765079
## [1861] 433.133333 1690.790351 1621.152083 454.500000 911.500000
## [1866] 1019.293939 715.500000 3147.584294 321.958333 169.500000
## [1871] 2104.311400 499.000000 120.000000 7009.095996 8704.372405
## [1876] 2058.250000 580.500000 1701.857143 312.700000 202.000000
## [1881] 908.333333 480.500000 3473.857143 277.000000 273.000000
## [1886] 360.000000 1127.250000 996.083333 227.700000 579.333333
## [1891] 237.000000 678.500000 3098.033333 285.166667 340.200000
## [1896] 231.000000 2054.114286 2008.833333 1065.900000 619.000000
## [1901] 584.133333 4107.119658 293.500000 229.666667 155.833333
## [1906] 1688.058761 3509.130952 866.500000 755.000000 1681.523810
## [1911] 2635.616270 231.500000 194.333333 1564.161905 854.286325
## [1916] 124.500000 1021.750000 2660.150000 1135.166667 298.233333
## [1921] 554.500000 335.666667 2107.583333 96.333333 2755.336111
## [1926] 653.277778 964.047619 650.666667 256.666667 1516.966667
## [1931] 648.067857 462.000000 630.500000 688.666667 285.416667
## [1936] 61.333333 2961.483333 3222.758730 500.788095 375.750000
## [1941] 534.916667 2098.238095 869.100000 1494.500000 699.250000
## [1946] 331.333333 1563.930952 419.250000 4643.755952 564.500000
## [1951] 65.666667 1462.659125 404.619048 960.733333 726.276190
## [1956] 4415.333333 723.315873 1088.050000 1688.726190 998.954545
## [1961] 1654.722222 281.500000 1501.000000 153.583333 483.583333
## [1966] 586.333333 2213.000000 178.000000 1150.192063 892.916667
## [1971] 173.000000 289.666667 633.985714 1837.966667 8038.325302
## [1976] 706.983766 11308.097950 501.500000 497.666667 4115.978571
## [1981] 2.333333 121.500000 869.000000 865.000000 220.333333
## [1986] 657.166667 1517.900000 538.287879 4139.625000 832.833333
## [1991] 464.000000 673.481380 217.000000 472.995238 1500.380952
## [1996] 692.666667 9487.639162 455.500000 259.000000 2065.150000
## [2001] 4190.750000 129.200000 607.466667 8699.407065 2022.250000
## [2006] 761.250000 874.583333 1483.000000 639.500000 356.000000
## [2011] 2132.683333 431.083333 401.950000 2524.000000 822.650000
## [2016] 1714.166667 783.500000 3258.071212 1329.261905 87.000000
## [2021] 813.800000 1039.477564 531.000000 1239.083333 1306.028022
## [2026] 543.750000 258.833333 623.416667 1040.333333 3395.729484
## [2031] 701.500000 2059.109203 203.416667 197.333333 300.666667
## [2036] 471.000000 7968.903361 2607.500000 865.672222 1076.977778
## [2041] 2818.094444 234.966667 935.000000 1662.733333 436.600000
## [2046] 716.625000 1223.416667 1286.750000 897.666667 2178.672222
## [2051] 3195.828571 1143.657143 2871.262932 417.966667 1248.000000
## [2056] 837.666667 418.233333 370.000000 743.916667 3178.583333
## [2061] 463.666667 178.600000 689.750000 963.166667 387.000000
## [2066] 534.000000 338.233333 255.750000 228.500000 72.900000
## [2071] 982.833333 473.500000 636.000000 1806.504167 1111.245175
## [2076] 1055.500000 2697.487879 272.333333 895.809524 607.977778
## [2081] 615.816667 1133.666667 2759.833333 1433.083333 743.666667
## [2086] 680.750000 118.666667 136.000000 2236.900000 2841.000000
## [2091] 895.833333 2559.541228 1161.767949 252.000000 385.000000
## [2096] 1550.211111 1738.250000 176.666667 3.000000 304.523077
## [2101] 268.500000 101.250000 361.500000 492.683333 397.666667
## [2106] 4290.833333 2542.333333 3657.101515 920.000000 670.422619
## [2111] 2101.466667 578.333333 502.500000 1283.052597 226.256410
## [2116] 1535.242063 762.333333 1266.333333 1050.708333 212.833333
## [2121] 1386.716667 2514.250000 1968.250000 1517.750000 1056.666667
## [2126] 399.000000 2743.819189 769.000000 178.833333 517.392857
## [2131] 1683.633333 833.000000 319.333333 733.500000 822.000000
## [2136] 838.550000 2479.000000 519.500000 1035.935714 219.500000
## [2141] 858.500000 54.500000 107.000000 342.500000 1138.504762
## [2146] 544.833333 176.333333 3227.500000 440.666667 2297.801282
## [2151] 22.500000 194.066667 2145.563492 1703.321429 1999.833333
## [2156] 3382.287999 2038.000000 2409.068434 9487.940434 4668.052051
## [2161] 201.666667 156.833333 412.166667 2617.233333 465.705128
## [2166] 803.000000 887.583333 394.250000 1941.083333 142.500000
## [2171] 270.214286 541.666667 1090.060606 253.800000 2259.533333
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## [2186] 1803.758333 2241.844444 482.500000 1225.857143 573.166667
## [2191] 507.833333 458.500000 724.000000 93.500000 483.300000
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## [2201] 1384.383333 1280.166667 1822.008117 1269.766667 149.600000
## [2206] 1817.000000 9143.435714 1080.150000 316.250000 1783.250000
## [2211] 1384.533333 996.438095 368.500000 1285.548533 6223.870847
## [2216] 841.033333 1250.500000 699.500000 1766.855952 567.450000
## [2221] 90.666667 981.166667 1661.750000 548.250000 808.083333
## [2226] 87.500000 1875.744689 4346.916667 884.335714 1678.733333
## [2231] 325.833333 549.500000 4277.000000 179.500000 561.550000
## [2236] 2136.000000 2797.816667 643.875000 898.833333 453.000000
## [2241] 888.000000 9997.728571 5703.476786 1495.580952 2905.500000
## [2246] 1192.317857 355.666667 332.500000 297.300000 2309.995238
## [2251] 810.371377 384.500000 975.972222 3382.083333 541.500000
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## [2281] 654.500000 1435.000000 512.066667 797.295238 555.866667
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## [2296] 3057.809524 601.790196 1370.067857 321.666667 540.500000
## [2301] 4977.850000 1066.166667 1142.666667 1294.183333 1086.178571
## [2306] 754.226191 432.571429 1051.500000 1101.333333 2477.666667
## [2311] 1501.166667 1736.447368 269.000000 833.083333 86.750000
## [2316] 547.000000 1474.500000 323.500000 813.051948 2028.500000
## [2321] 2220.871465 440.000000 1356.000000 438.583333 347.666667
## [2326] 2931.580303 1462.450000 727.619048 553.166667 460.666667
## [2331] 2837.166667 264.000000 1638.888095 1383.500000 1382.665140
## [2336] 352.500000 1444.166667 250.083333 327.500000 1085.078571
## [2341] 2665.798039 816.500000 2877.500000 448.033333 6842.002513
## [2346] 2645.833333 586.189286 1133.016667 562.666667 3000.250794
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## [2356] 133.000000 533.071429 303.400000 516.476191 72.500000
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## [2381] 154.500000 805.099298 138.500000 1190.616667 411.388889
## [2386] 778.761905 512.050000 998.400000 1049.833333 472.916667
## [2391] 5645.176455 1615.000000 28.333333 283.500000 2694.833333
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## [2401] 3206.193407 1243.500000 1448.333333 304.000000 304.500000
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## [2411] 585.178355 536.000000 2197.195238 72.666667 542.333333
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## [2426] 214.333333 1592.133333 986.916667 418.333333 536.500000
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## [2451] 198.166667 296.233333 1649.000000 574.333333 2643.333333
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## [2471] 691.000000 1569.866667 1368.484848 1697.550000 1134.500000
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## [2481] 1360.500000 1942.933333 133.833333 1407.500000 1187.500000
## [2486] 1090.566667 115.500000 463.000000 91.500000 840.833333
## [2491] 895.973169 76.500000 104.333333 345.166667 869.800000
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## [2501] 578.200000 6931.049725 522.666667 1720.416667 2464.900000
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## [5931] 207.600000 1618.403280 1066.393635 392.600000 102.700000
## [5936] 857.735507 660.800000 376.700000 181.066667 360.511111
## [5941] 1053.175758 7710.731416 488.910000 906.400000 883.933333
## [5946] 2349.101818 314.850000 124.914286 2688.864762 425.000000
## [5951] 867.991515 417.533333 536.733333 74.400000 4391.666667
## [5956] 2013.659524 295.100000 1566.200000 213.800000 977.412857
## [5961] 1884.700000 669.933333 432.022222 582.733333 1860.950000
## [5966] 357.889524 265.933333 313.800000 780.500000 131.833333
## [5971] 85.766667 887.750000 1140.796667 122.800000 3621.606667
## [5976] 2056.488590 1094.310476 240.600000 1200.200000 81.700000
## [5981] 2224.633333 230.620000 1624.935625 158.973333 3441.806667
## [5986] 937.865349 783.208571 1221.700000 588.366667 876.476667
## [5991] 230.833333 2653.196667 1855.600000 228.900000 1243.976108
## [5996] 3410.697592 2664.416667 552.040000 385.740000 1115.400000
## [6001] 1618.203333 154.800000 1016.883333 1018.018025 571.423860
## [6006] 678.483333 227.600000 343.033333 261.666667 3773.300000
## [6011] 4098.699853 724.200000 297.500000 151.300000 280.046667
## [6016] 6747.414492 2487.520000 6847.736667 602.883333 692.870000
## [6021] 66.050000 296.580000 2199.520000 372.383333 2022.117778
## [6026] 422.523077 6079.820000 115.600000 1988.931429 294.700000
## [6031] 1292.449762 1907.080000 133.733333 175.400000 1547.233333
## [6036] 288.713333 849.744444 496.966667 606.666667 1576.966667
## [6041] 921.623333 691.950000 390.456667 6774.820000 3389.800000
## [6046] 2139.156647 634.688095 124.866667 1620.141667 1110.866667
## [6051] 292.700000 3856.829780 4800.574762 290.800000 242.109524
## [6056] 503.266667 385.750000 15.600000 1228.289524 743.476667
## [6061] 449.400000 246.386508 812.350000 75.400000 1836.983333
## [6066] 37.200000 381.800000 9100.402959 1256.000000 1854.242845
## [6071] 941.466667 1391.383333 324.266667 265.500000 143.300000
## [6076] 218.666667 432.000000 121.270422 450.800000 1191.616667
## [6081] 683.300000 452.000000 543.733333 2002.760000 385.300000
## [6086] 690.566667 562.300000 833.325000 2734.966667 5830.910000
## [6091] 700.046667 950.666667 411.600000 2557.350000 951.433333
## [6096] 1441.974535 162.233333 166.120000 1624.320952 708.554762
## [6101] 679.903333 364.961905 1216.726667 852.300000 1831.942222
## [6106] 2725.708571 86.633333 177.900000 128.233333 846.600000
## [6111] 323.400000 178.590000 1592.533333 103.800000 1257.946667
## [6116] 542.000000 1280.149821 192.450000 1717.873278 6137.144910
## [6121] 310.335556 51.200000 1231.790460 723.483333 689.650000
## [6126] 2139.700000 15454.438570 643.900000 94.200000 944.800000
## [6131] 440.533333 98.733333 402.600000 3564.590227 595.000000
## [6136] 697.586667 741.400000 502.966667 2222.419048 879.750000
## [6141] 275.100000 1227.153333 1582.700000 99.066667 360.473333
## [6146] 636.700000 8768.477228 348.061111 1354.800000 613.993333
## [6151] 4185.096695 73.100000 544.683333 1275.269270 2077.166667
## [6156] 3334.506667 3579.785900 593.701980 1199.226190 2590.800000
## [6161] 1220.257143 117.800000 985.080241 2479.342857 472.752381
## [6166] 571.350000 344.400000 364.533333 1046.320000 883.600000
## [6171] 1158.782857 89.383333 2006.688158 492.900000 242.450000
## [6176] 1572.486399 3801.680397 294.600000 47.300000 570.200000
## [6181] 463.360000 2299.970000 438.383333 585.700000 1649.766667
## [6186] 1620.024762 402.616667 1985.894203 120.790000 1477.154762
## [6191] 1636.258333 264.339682 2822.623603 182.500000 161.600000
## [6196] 2366.600000 2059.300000 1078.200000 2059.700000 1412.270833
## [6201] 561.666667 438.666667 733.287121 806.250000 242.083333
## [6206] 4066.207476 821.833333 398.000000 927.000000 3025.058333
## [6211] 424.125000 2339.805556 168.750000 1051.291667 631.933333
## [6216] 1132.791667 815.250000 4446.625000 3902.664774 2524.194444
## [6221] 947.416667 410.250000 511.250000 2073.916667 5194.798570
## [6226] 610.633333 2174.708333 1068.357692 541.062500 562.007143
## [6231] 390.500000 2577.449603 373.458333 202.750000 3804.287500
## [6236] 655.041667 462.267857 967.625000 770.309524 602.583333
## [6241] 475.025000 750.208333 5300.291667 1758.912393 482.750000
## [6246] 147.500000 279.547619 1445.666667 159.750000 835.583333
## [6251] 99.500000 770.375000 3773.715179 2023.750000 1493.695238
## [6256] 1058.338095 2295.000000 198.133333 729.291667 1185.986275
## [6261] 1473.701515 1055.583333 1211.166667 6309.427034 163.500000
## [6266] 1260.441758 281.750000 63973.522230 372.083333 557.686905
## [6271] 170.500000 4021.172222 81.083333 630.000000 2138.383333
## [6276] 4977.850893 1312.333333 61.750000 1131.208333 57.500000
## [6281] 475.650000 3534.298611 1093.083333 516.750000 1214.307692
## [6286] 759.583333 8629.783691 10524.359360 2756.192460 1173.000000
## [6291] 2147.375000 1175.488095 404.500000 264.750000 1557.916667
## [6296] 207.541667 135.250000 493.750000 117.250000 349.833333
## [6301] 1579.333333 1375.264286 59.500000 592.837500 1375.916667
## [6306] 4966.520661 2881.684524 2556.373335 1406.917424 955.375000
## [6311] 1394.236526 704.000000 7443.407447 1980.238095 914.500000
## [6316] 804.250000 4804.834524 596.075000 2076.966667 2281.583333
## [6321] 5149.434919 2400.037843 234.638462 947.392857 2876.441667
## [6326] 398.980392 2007.522619 108.500000 246.500000 2074.611111
## [6331] 2387.139881 541.875000 187.500000 341.458333 597.633053
## [6336] 294.750000 713.583333 1319.547421 41.500000 267.250000
## [6341] 1059.575000 2130.447802 1351.908333 561.500000 805.791667
## [6346] 1918.902722 4518.297619 2199.500000 1329.686508 243.500000
## [6351] 184.375000 730.150000 35.250000 2180.217803 86.166667
## [6356] 1027.000000 631.067460 1157.583333 4461.285240 1377.250000
## [6361] 2934.236722 3296.650000 1065.256410 599.500000 748.958333
## [6366] 566.883333 5728.673611 203.250000 2416.060484 305.208333
## [6371] 335.416667 960.125000 4656.331746 683.165385 712.296078
## [6376] 279.333333 2193.541667 611.083333 1792.466667 357.166667
## [6381] 1666.500000 846.250000 1481.108333 819.333333 549.250000
## [6386] 1181.851190 230.166667 2141.902778 1286.916667 1109.250000
## [6391] 5608.913545 590.583333 15025.233020 1012.964286 1049.313889
## [6396] 1781.191667 3472.870513 562.000000 1369.775000 9956.225533
## [6401] 307.666667 2403.250000 773.200000 448.250000 1845.958333
## [6406] 1424.839744 3648.562500 300.500000 756.041667 642.000000
## [6411] 396.345238 1017.166667 1875.169444 821.275000 1325.833333
## [6416] 228.625000 1517.416739 6524.035369 839.208333 426.325000
## [6421] 2245.333333 428.500000 221.125000 731.500000 4575.477552
## [6426] 3684.321458 882.750000 301.333333 4251.208187 6323.853465
## [6431] 12268.244770 4994.249150 6082.873739 1664.148810 5399.231269
## [6436] 50.833333 1723.753711 508.250000 65.500000 968.750000
## [6441] 3127.078788 418.375000 2052.125000 331.837500 1028.775000
## [6446] 2776.013582 360.541667 4379.863158 118.250000 821.682540
## [6451] 24844.156200 2050.191803 962.901190 586.372222 732.091667
## [6456] 855.666667 274.583333 1828.375000 247.500000 2123.500000
## [6461] 635.491667 1332.250000 5253.069444 593.750000 5252.861501
## [6466] 1169.000000 987.900000 2886.841667 473.166667 4791.460889
## [6471] 1481.783333 386.262121 1144.972222 2747.616288 271.500000
## [6476] 3022.370406 2156.525403 938.333333 1039.599344 721.416667
## [6481] 3480.811706 6241.687398 749.250000 225.166667 1587.250000
## [6486] 1397.666667 506.183333 7181.877778 1173.417614 318.250000
## [6491] 2855.166667 1165.950000 1470.208333 1707.666667 2636.138889
## [6496] 452.416667 447.047619 1113.309524 446.375000 952.677778
## [6501] 4434.281746 311.250000 323.233333 2835.417641 2893.940476
## [6506] 540.750000 6085.002381 1390.083333 1031.083333 539.150000
## [6511] 1657.000000 939.083333 1403.828355 29.500000 1862.333333
## [6516] 894.580952 475.666667 2187.338725 2312.337853 1652.486111
## [6521] 5826.333333 198.750000 464.383333 266.166667 1047.000000
## [6526] 512.500000 765.392857 314.750000 1682.275000 580.083333
## [6531] 1388.200000 470.816667 1184.269841 6919.899495 303.500000
## [6536] 1074.333333 588.500000 4155.746883 55.500000 12500.353060
## [6541] 1021.200000 2694.507143 2533.333333 1658.125000 1440.166667
## [6546] 1315.177778 1935.335516 2404.831006 346.566667 695.500000
## [6551] 415.273810 256.950000 1939.155952 1975.455952 28.250000
## [6556] 2556.220833 3812.161753 592.250000 190.333333 10902.458260
## [6561] 3543.809524 1159.541667 24.250000 2300.891317 841.783333
## [6566] 1609.939744 424.333333 1267.062500 1631.416667 1043.583333
## [6571] 2041.233550 504.600000 2793.733084 180.416667 530.583333
## [6576] 329.214286 1508.521825 803.507738 2251.280000 1286.500000
## [6581] 396.250000 4293.400000 3875.427778 936.642857 756.861111
## [6586] 1385.850000 3197.755638 1779.886905 1191.887500 851.666667
## [6591] 3111.683333 561.250000 5380.686996 860.208333 2058.300000
## [6596] 1032.300000 8622.380000 4067.010247 2690.333333 150.166667
## [6601] 844.941667 918.541667 46.750000 2422.375000 1249.866144
## [6606] 702.333333 4097.708838 1042.507143 169.916667 1421.250000
## [6611] 2429.279762 1123.050824 441.136905 1475.254167 1630.137415
## [6616] 3216.920172 32.500000 623.725000 3674.737578 486.147222
## [6621] 1645.679762 1361.780952 3152.500000 5209.820361 558.476191
## [6626] 2244.616667 2032.272727 1904.183333 883.550000 4389.887512
## [6631] 598.873809 593.000000 829.208333 4875.106113 1344.291667
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## [6651] 2693.582331 3697.731633 135.750000 795.000000 759.750000
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## [6681] 4272.607937 751.000000 3009.087500 242.583333 347.852273
## [6686] 3714.352664 738.886111 9018.123741 1726.500000 1361.833333
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## [6701] 7972.322431 1249.708333 480.605556 258.616667 57.750000
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## [6711] 3561.130212 14505.727250 2801.751190 2460.323686 452.250000
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## [6726] 458.250000 53.500000 332.583333 749.750000 8282.214508
## [6731] 142.125000 3007.687500 1894.393840 4817.924102 905.500000
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## [6741] 2429.812500 156.404762 1288.733333 4446.303175 920.550000
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## [6751] 3075.978608 2857.712454 1967.780163 1352.750000 866.333333
## [6756] 1878.996825 138.416667 1031.133333 1208.333333 5426.823764
## [6761] 1570.362302 644.250000 705.116667 1183.900000 2438.075000
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## [6771] 631.750000 536.616667 1661.833333 2553.858333 490.833333
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## [6786] 3309.448776 9297.575489 4096.090152 1480.233333 735.583333
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## [6796] 1935.887111 638.916667 2040.166667 990.464286 155.983333
## [6801] 2199.976786 246.645833 2493.985714 1359.957586 831.000000
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## [6811] 74.750000 4215.961111 624.500000 1618.532967 1924.505952
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## [6821] 3831.100000 275.500000 1176.500000 1436.690476 257.416667
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## [6856] 1535.000000 53.625000 1066.566667 2106.894048 5276.594444
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## [6866] 2991.319444 78.750000 2512.517420 1297.750000 132.750000
## [6871] 1904.541667 270.750000 1692.250000 2259.736508 1775.241667
## [6876] 664.500000 5000.739116 2716.666667 1876.333333 2368.111111
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## [6901] 12158.196390 2289.100000 7712.375000 4755.224054 465.250000
## [6906] 1210.100000 313.017857 3044.047222 946.595238 97.416667
## [6911] 1574.375000 1830.583333 1011.319444 669.483333 795.361111
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## [6926] 2558.500000 930.500000 1052.255952 1792.814481 3301.222222
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## [6961] 103.500000 38.500000 4817.369546 447.000000 829.083333
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## [6971] 1805.277375 42.575000 566.800000 2189.500000 2811.478070
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## [7041] 2641.416667 364.750000 2781.125000 2500.128052 200.250000
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## [7201] 567.250000 5878.940603 314.696429 445.625000 257.166667
## [7206] 986.933333 549.200000 130.050000 1347.962500 1040.100000
## [7211] 2033.845238 1833.244643 138.375000 1592.233333 2366.192105
## [7216] 472.416667 1438.000000 125.500000 143.250000 145.500000
## [7221] 117.750000 6400.430101 237.666667 1395.445862 1660.000000
## [7226] 1368.000000 2188.258333 10014.269350 876.550000 3184.815705
## [7231] 546.607143 186.250000 523.250000 801.050000 92.250000
## [7236] 1853.286538 1558.250000 312.350000 573.750000 2435.743750
## [7241] 241.400000 2259.047619 1338.778571 3085.250000 3723.529739
## [7246] 354.583333 1317.795833 661.445529 1949.647252 1544.855159
## [7251] 1465.555338 3247.583333 1733.658333 3376.027564 629.858333
## [7256] 2582.699717 2428.350000 4045.726634 2743.213113 254.500000
## [7261] 161.550000 4155.620833 1268.125000 155.500000 2374.500000
## [7266] 1056.511364 2378.263492 2587.530411 219.583333 1542.350000
## [7271] 444.750000 1423.790476 184.000000 1548.086310 234.100000
## [7276] 6014.398401 3181.500000 530.625000 1202.875000 117.083333
## [7281] 1835.556213 867.777778 946.393421 2303.183333 6606.783899
## [7286] 1367.000000 7405.360281 3486.370682 1267.250000 1260.524994
## [7291] 2239.363889 224.250000 1621.766667 3800.089234 925.898809
## [7296] 212.916667 1202.916667 2681.998105 2618.681061 740.166667
## [7301] 4760.778303 4262.966667 130.750000 3228.502137 2018.300000
## [7306] 658.250000 2267.472565 4251.741250 1629.641667 9049.534024
## [7311] 5106.262991 1315.455182 98.666667 1378.166667 348.250000
## [7316] 382.250000 256.500000 4096.712716 1288.130556 594.000000
## [7321] 1364.266667 189.250000 1621.025379 2323.166667 338.250000
## [7326] 2431.242995 1151.000000 1048.980263 94.750000 1243.176190
## [7331] 1148.166667 659.636111 1990.125000 398.400000 2413.754403
## [7336] 422.166667 62.250000 3313.455754 126.250000 11.500000
## [7341] 3954.950000 3993.833333 1071.083333 315.300000 3188.483333
## [7346] 1056.658333 3397.957955 996.148077 5696.165963 2003.375779
## [7351] 629.291667 819.589286 652.500000 974.083333 2666.066667
## [7356] 3374.016667 3445.012500 66.250000 348.750000 748.250000
## [7361] 1579.375000 104.666667 3770.021698 5520.175505 1078.583117
## [7366] 2983.358135 69.750000 10340.369160 8701.851617 4885.049069
## [7371] 2193.383333 1092.354167 977.125000 5410.956705 1679.666667
## [7376] 1333.166667 914.229437 315.083333 3873.021970 583.083333
## [7381] 2780.609524 612.208333 2092.500000 2336.319444 747.042857
## [7386] 1090.385281 1975.825000 3367.041281 647.142857 138.541667
## [7391] 1401.083333 393.788889 2478.000000 1702.916667 1401.508730
## [7396] 281.425000 1491.775000 2056.106981 2109.919048 460.750000
## [7401] 1406.950000 3757.079762 1295.008333 1002.104167 1883.725000
## [7406] 2243.676587 193.366667 1690.778409 1698.000000 3517.039683
## [7411] 472.500000 8684.983333 1653.395833 3561.139286 36.902778
## [7416] 1899.058333 46.250000 5098.754980 90.500000 5080.233631
## [7421] 251.900000 851.250000 543.000000 23.833333 1964.847222
## [7426] 3457.628812 2997.002030 4022.000000 1542.791667 2434.144872
## [7431] 5442.085417 3299.525000 885.750000 219.550000 23.666667
## [7436] 671.642857 6566.867562 770.250000 1370.038095 11835.103890
## [7441] 916.458333 132.500000 3057.045833 442.500000 2446.144571
## [7446] 269.233333 819.150000 1434.908333 177.250000 1950.840873
## [7451] 116.750000 752.566667 2171.547149 6123.741494 4310.775000
## [7456] 502.525000 1565.958333 2595.095833 1140.150000 3327.537566
## [7461] 2625.185014 3747.814286 1126.250000 393.583333 5962.732411
## [7466] 21.250000 121.750000 325.000000 165.583333 58.900000
## [7471] 1547.477273 465.633333 328.500000 737.181935 1340.583333
## [7476] 742.960317 2186.961538 84.250000 4492.311111 857.266667
## [7481] 1773.375000 1346.630231 805.833333 1372.975000 2445.066667
## [7486] 4140.333766 348.383333 325.500000 1911.610665 1464.416667
## [7491] 472.541667 1593.583333 135.083333 4350.647321 1399.150000
## [7496] 663.527778 1717.666667 740.307143 1859.382937 874.952381
## [7501] 1275.092424 3372.748214 1328.626894 2378.377381 342.125000
## [7506] 1009.375000 340.500000 948.342857 4436.376299 56.750000
## [7511] 1334.083333 450.750000 1952.500000 776.166667 3091.146033
## [7516] 818.316667 684.750000 1224.541667 459.083333 474.333333
## [7521] 783.875000 1445.458333 517.000000 444.000000 1197.700198
## [7526] 10415.783640 6245.704152 2409.875000 2004.708333 1905.078571
## [7531] 903.430556 935.666667 979.375000 127.166667 1280.450000
## [7536] 787.535714 210.400000 257.750000 8041.588870 7017.192635
## [7541] 1244.350000 1591.888095 8650.048771 1986.553118 1363.700000
## [7546] 3753.194490 1070.625000 1839.250000 1787.479365 1534.825143
## [7551] 1568.500000 111.500000 2332.109524 598.500000 1287.273810
## [7556] 985.315151 2420.650000 300.333333 1602.940260 1646.612195
## [7561] 1824.083333 1525.000000 114.416667 1768.657051 5546.000000
## [7566] 2346.220238 2177.333333 1929.185664 1261.500000 898.150000
## [7571] 4172.115720 749.125000 2537.807082 580.250000 3494.067460
## [7576] 1605.583333 1100.475000 134.675000 296.392857 691.750000
## [7581] 6850.499335 291.166667 232.500000 2046.832418 2974.734799
## [7586] 108.250000 1151.136905 2060.508333 2764.290278 175.750000
## [7591] 609.541667 2264.091667 546.750000 781.425000 3391.685880
## [7596] 43.750000 1423.833333 834.075000 706.700000 806.125000
## [7601] 6759.311928 440.750000 1404.459091 326.927778 2517.216667
## [7606] 3060.055556 866.216667 2110.124603 5316.459524 176.766667
## [7611] 820.500000 2990.312500 2152.588889 1722.583333 7012.266796
## [7616] 320.983333 6879.801826 2237.603885 2270.750000 602.250000
## [7621] 1256.291667 1796.583333 269.700000 1130.807540 1333.914286
## [7626] 1907.135417 1085.333333 3239.418207 2002.250000 3757.750000
## [7631] 115.250000 204.750000 556.000000 238.550000 423.183333
## [7636] 1664.000000 2766.942172 2696.108730 1831.149084 1626.000000
## [7641] 9951.359644 941.699405 1716.583333 597.250000 1982.523611
## [7646] 1335.737854 690.958333 8217.678753 5999.808333 182.250000
## [7651] 845.750000 1430.250000 179.250000 1359.771429 1021.519444
## [7656] 491.833333 907.943254 8402.715986 184.333333 1991.822567
## [7661] 595.750000 5315.211905 9648.177094 738.910714 1749.000000
## [7666] 140.458333 698.541667 123.229167 587.750000 589.875000
## [7671] 4096.158590 723.000000 4126.448611 5504.695238 27.375000
## [7676] 2939.625000 3713.580105 2596.204762 1668.116667 742.687500
## [7681] 1218.750000 551.158333 1302.518056 929.583333 1309.658333
## [7686] 2852.013141 272.166667 3770.916071 834.361111 668.500000
## [7691] 521.925000 1544.595238 17086.234240 1082.750000 1803.666667
## [7696] 4729.065909 1355.366667 529.750000 836.500000 719.200000
## [7701] 146.500000 2632.700000 8178.226923 1461.725000 1616.548160
## [7706] 197.750000 8613.257312 2070.616667 1449.608333 163.375000
## [7711] 4081.041667 353.152778 791.916667 1088.866667 9247.383869
## [7716] 1659.250000 2638.244429 127.600000 3789.583333 3660.342875
## [7721] 565.500000 2021.320833 97.500000 2614.209722 308.250000
## [7726] 1020.013889 5154.777093 1443.641667 480.000000 548.267857
## [7731] 828.250000 3608.346752 545.083333 5097.418330 2350.667857
## [7736] 1310.636905 1398.390775 2915.571429 949.750000 2381.097222
## [7741] 1273.250000 3002.902778 6235.066030 12959.915150 1361.203175
## [7746] 2375.114286 1404.750000 780.791667 8276.292565 1206.750000
## [7751] 1858.833333 424.750000 1992.717308 3642.066026 480.916667
## [7756] 2120.630952 1725.966667 1200.500000 1314.083333 2225.288889
## [7761] 528.583333 1587.765598 507.291667 162.625000 4597.124242
## [7766] 1885.337440 1895.133333 1903.081639 2872.125000 4048.583333
## [7771] 105.500000 1902.250000 1433.634921 709.750000 145.666667
## [7776] 1076.958333 5004.229167 1029.583333 1437.750000 534.875000
## [7781] 1751.847727 1435.375000 638.250000 954.083333 1159.567100
## [7786] 258.291667 101.833333 4600.540873 953.589286 1749.842262
## [7791] 2178.850000 1512.574405 4254.666667 506.452381 1383.661111
## [7796] 1261.658333 466.125000 2833.814103 711.166667 3788.800000
## [7801] 8584.025049 1004.500000 1322.004437 2051.466667 131.583333
## [7806] 308.458333 541.535714 282.083333 209.333333 3296.602091
## [7811] 1426.583333 6725.663690 146.750000 864.458333 259.750000
## [7816] 1215.666667 3427.665476 680.255952 492.250000 799.375000
## [7821] 1475.166667 32.833333 4772.919574 5778.966667 816.833333
## [7826] 1586.154762 1335.809127 743.750000 6203.690476 2689.625000
## [7831] 774.728814 6617.791228 71.500000 393.500000 96.625000
## [7836] 3283.715359 62.750000 3934.201024 977.533333 4373.847619
## [7841] 162.250000 584.308333 559.000000 922.708333 516.833333
## [7846] 689.202381 1170.166667 3974.534501 1666.750000 3891.214286
## [7851] 2161.388889 2006.834416 103.520833 123.750000 1252.561414
## [7856] 478.033333 1740.052778 156.500000 904.566667 432.750000
## [7861] 2714.958333 871.500000 735.515152 741.055556 833.166667
## [7866] 212.250000 1870.791667 577.166667 1954.754167 2359.375000
## [7871] 1136.083333 686.500000 1427.689394 2162.840879 5254.158333
## [7876] 108.416667 1728.250000 1813.250382 1998.250000 396.166667
## [7881] 576.300000 1035.083333 808.041667 552.333333 491.750000
## [7886] 901.266667 158.750000 1599.500000 675.666667 4590.431277
## [7891] 158.250000 287.333333 253.583333 1768.980303 5602.593506
## [7896] 8336.039583 675.375000 2627.756494 244.750000 2702.390385
## [7901] 3069.077778 1073.310020 13379.366580 1124.888889 6001.171475
## [7906] 2504.870761 4722.568651 457.250000 816.776190 3279.238428
## [7911] 4123.956674 1995.416667 1242.000000 2891.744571 937.716667
## [7916] 983.138889 650.808333 1523.578030 673.033333 190.708333
## [7921] 277.035714 1141.066667 1506.916667 1346.966667 771.875000
## [7926] 7044.064508 709.333333 726.038889 12900.767600 1087.986111
## [7931] 188.458333 4218.916667 5757.853961 402.805556 2787.750000
## [7936] 4815.701606 4766.021032 925.666667 4716.572619 1245.576190
## [7941] 2451.058466 292.875000 2296.250000 38.358333 476.866667
## [7946] 435.333333 597.625000 1677.805952 1177.291667 980.502199
## [7951] 1330.666667 1050.500000 9119.885413 1053.952381 8150.556716
## [7956] 1385.666667 1046.666667 548.283333 603.256526 67.750000
## [7961] 559.750000 14213.636520 2807.164836 2623.916667 2112.101515
## [7966] 9770.812093 2754.117424 1682.250000 1922.150000 1293.083333
## [7971] 3275.873810 208.900000 2668.725046 1543.750000 8555.765985
## [7976] 76.750000 2762.408333 430.607143 851.166667 205.700000
## [7981] 1092.333333 754.319444 1806.166667 674.958333 866.707143
## [7986] 72.250000 637.428571 586.375000 934.150000 5256.472341
## [7991] 411.937500 318.500000 6740.557143 1277.750000 304.541667
## [7996] 1125.875000 2128.730927 1391.733333 64.250000 113.250000
## [8001] 691.252381 274.500000 13265.355950 2846.833333 7569.182143
## [8006] 3436.975000 1957.500000 942.395833 1133.333333 7434.743073
## [8011] 8981.580128 2875.615909 2270.908333 293.725000 678.250000
## [8016] 1636.466667 99.750000 301.666667 2354.958333 183.708333
## [8021] 4876.007712 1598.250000 180.147059 2744.541071 18504.126210
## [8026] 486.666667 1978.148810 421.000000 1430.854167 2611.651923
## [8031] 161.666667 357.555556 2440.473611 348.433333 3752.666970
## [8036] 41.666667 1925.979167 263.250000 917.250000 653.125000
## [8041] 3284.500000 1731.500000 6793.383281 4377.708157 289.625000
## [8046] 135.875000 1678.333333 283.791667 4156.900000 297.125000
## [8051] 562.250000 14129.880800 4868.000000 1195.583333 118.750000
## [8056] 1048.107143 349.375000 2822.172118 2528.287431 677.883333
## [8061] 3959.145344 4307.409559 1960.475000 1789.954762 2284.488095
## [8066] 6481.483333 1051.166667 1966.092332 5160.451362 651.066667
## [8071] 565.416667 1250.125000 572.976191 2555.994444 113.666667
## [8076] 706.050000 4737.087716 25.750000 8205.687940 1933.244444
## [8081] 886.479167 1000.800000 729.791667 96.250000 386.750000
## [8086] 1788.370821 251.291667 656.768182 968.644444 2455.147619
## [8091] 1524.962997 341.250000 8130.964914 5276.227193 381.358333
## [8096] 3497.214286 2065.838165 1441.910588 2330.727381 2910.632251
## [8101] 2719.734091 2170.286706 837.250000 2038.772727 1494.250000
## [8106] 243.166667 1469.666667 7793.158685 1130.926190 2587.766667
## [8111] 39.333333 1405.327056 1032.750000 1279.089286 53.375000
## [8116] 1028.533333 760.875000 1760.613095 3312.879422 921.600000
## [8121] 244.250000 151.416667 553.333333 612.500000 5389.883333
## [8126] 625.300000 3094.366667 276.166667 1316.434982 2719.654762
## [8131] 744.166667 200.933333 3616.008121 696.225000 275.166667
## [8136] 2984.130952 4424.916667 168.900000 250.035714 1352.133333
## [8141] 169.375000 1183.050000 513.333333 2032.599702 464.658333
## [8146] 1238.586029 3621.066667 1836.775000 898.758333 11945.629540
## [8151] 824.229167 451.714286 636.583333 830.104167 2689.291667
## [8156] 2167.126924 943.500000 5505.401209 363.250000 610.191667
## [8161] 1357.833333 336.583333 8618.031872 281.738095 308.500000
## [8166] 1289.000000 409.500000 2348.812500 628.583333 1996.565909
## [8171] 2476.154789 211.416667 2930.722222 4316.833333 2710.381731
## [8176] 2904.922294 427.750000 988.062500 2999.716667 1328.500000
## [8181] 691.357280 912.434849 780.583333 1931.512121 2334.916667
## [8186] 754.300000 167.833333 1291.351190 335.250000 783.375000
## [8191] 1095.658333 187.916667 1258.791667 2351.834722 605.500000
## [8196] 5767.465043 1726.750000 2464.294444 1284.569048 1787.395833
## [8201] 1139.638889 814.154762 2508.413853 2086.666667 124.958333
## [8206] 902.083333 343.250000 660.803968 1407.446429 428.000000
## [8211] 1604.791667 1030.000000 2076.750000 1118.987027 221.250000
## [8216] 3679.128882 242.750000 1643.958333 2834.697619 946.363636
## [8221] 1760.600000 677.000000 381.214286 1784.516667 5189.960659
## [8226] 532.750000 728.979167 1383.375000 513.250000 3247.433333
## [8231] 1017.500000 2553.625000 144.500000 142.750000 214.750000
## [8236] 585.391667 733.250000 2162.657393 11250.486720 159.500000
## [8241] 862.791667 3441.439286 4894.851299 1538.950794 242.916667
## [8246] 71.166667 3074.852778 263.175000 618.250000 2487.061777
## [8251] 2269.732143 2310.083333 374.500000 5057.175000 604.500000
## [8256] 2634.476245 1777.702381 1558.361111 1825.557143 100.416667
## [8261] 6858.672122 79.250000 166.500000 3247.644636 4295.305066
## [8266] 5124.691667 1332.695346 2467.256349 5325.234886 123.166667
## [8271] 902.652778 1330.375000 1714.778571 205.083333 517.035714
## [8276] 1026.450758 57.666667 3575.000000 3696.225342 1600.000000
## [8281] 2230.500000 153.625000 765.041667 1256.383333 2642.458333
## [8286] 1992.916667 1002.491667 494.644048 835.238095 7952.491839
## [8291] 1433.712560 277.300000 2923.250000 1889.953409 8125.852288
## [8296] 199.666667 2008.900974 672.125000 140.166667 4173.131061
## [8301] 2849.482143 444.500000 3079.083333 205.750000 470.000000
## [8306] 1352.833333 497.250000 6975.887249 125.750000 3734.958333
## [8311] 318.750000 1766.833333 608.750000 279.083333 1098.500000
## [8316] 2355.682738 288.125000 1210.921324 863.346825 412.875000
## [8321] 850.666667 8591.591742 1903.601743 1585.608730 6367.506345
## [8326] 978.091667 118.333333 4293.833333 9126.982468 31.166667
## [8331] 402.395833 1632.533333 624.008333 391.583333 664.850000
## [8336] 1254.112179 5321.441032 751.541667 2520.056936 45.250000
## [8341] 31.500000 1456.916667 618.750000 1699.583333 935.097222
## [8346] 541.916667 559.250000 376.000000 811.863095 446.000000
## [8351] 1166.683333 233.375000 72.416667 2371.371545 3881.793590
## [8356] 1761.285714 333.333333 1343.946429 87.916667 1089.285714
## [8361] 737.750000 1102.850000 3763.000758 916.000000 491.583333
## [8366] 585.800000 630.083333 657.250000 366.500000 1478.073810
## [8371] 152.416667 711.363095 3881.938907 890.527778 1125.904762
## [8376] 1610.783197 3488.070803 2762.770833 460.833333 211.833333
## [8381] 13.250000 5244.471512 237.750000 671.088652 107.166667
## [8386] 517.541667 1767.400000 338.583333 1218.030952 1358.874152
## [8391] 1831.903509 1076.861905 529.291667 194.500000 1297.464286
## [8396] 720.425794 2370.729167 391.250000 392.187500 14568.162010
## [8401] 5619.384897 143.333333 1655.358333 3511.833059 405.100000
## [8406] 1182.590278 2367.400000 8596.669979 683.029221 671.425000
## [8411] 4263.977734 87.875000 427.816667 192.083333 2183.887500
## [8416] 5341.784253 3650.316667 4041.734915 3986.789646 707.166667
## [8421] 253.250000 1900.675000 549.950000 271.166667 556.916667
## [8426] 897.090278 535.250000 1091.005876 374.416667 1743.517857
## [8431] 2986.916667 1731.625000 797.833333 2345.589140 6225.988835
## [8436] 810.500000 504.500000 137.250000 1174.666667 11208.355060
## [8441] 107.929167 661.500000 803.333333 1242.661699 3879.831760
## [8446] 1055.333333 968.196429 177.583333 183.625000 92.333333
## [8451] 1051.125000 1581.500000 152.500000 9952.349817 702.125000
## [8456] 641.694444 783.636364 2034.261905 1361.634420 753.100000
## [8461] 2107.258333 6483.080400 686.878968 1550.916667 3105.365207
## [8466] 110.333333 327.650000 309.166667 432.166667 140.250000
## [8471] 476.250000 419.375000 348.500000 3711.605357 1267.502814
## [8476] 2997.083333 1493.958333 10415.325660 697.500000 484.845238
## [8481] 3068.062904 3763.447588 2863.400427 1277.741667 1069.973810
## [8486] 5918.308915 125.125000 6449.457197 1608.214286 8249.106771
## [8491] 382.033333 90.166667 2473.196429 1344.750000 1422.909324
## [8496] 1473.658333 4681.420833 1938.996646 3165.958333 753.637363
## [8501] 1263.900000 98.250000 1470.629167 770.583333 1410.428571
## [8506] 3154.970833 2933.695013 411.916667 268.750000 363.000000
## [8511] 126.083333 489.708333 1866.107143 330.416667 2447.548611
## [8516] 2269.336111 445.500000 1669.988095 569.750000 3359.625000
## [8521] 8864.036841 440.583333 19.250000 2128.416667 1117.642857
## [8526] 1241.750000 991.827020 2786.916667 516.500000 2028.172619
## [8531] 4042.949908 2767.976190 3237.114166 1708.625000 2531.342297
## [8536] 488.750000 4409.300000 1066.339286 3363.182143 991.500000
## [8541] 1843.187696 2352.166667 1269.645833 1167.321429 72.750000
## [8546] 1457.113095 1262.651515 971.666667 4279.966667 694.017857
## [8551] 1531.920136 2147.983333 3573.472222 1338.225000 3559.375000
## [8556] 1231.791667 115.625000 357.000000 1016.160714 3197.290064
## [8561] 1481.429167 2587.150595 390.773810 402.958333 2499.990079
## [8566] 710.541667 313.250000 1425.566667 2589.881537 1142.195833
## [8571] 777.333333 736.233333 210.250000 1266.094048 1009.950000
## [8576] 1661.133333 907.508333 105.616667 411.083333 558.398809
## [8581] 3421.575758 2158.500000 3484.269118 11232.656910 587.250000
## [8586] 2971.435101 974.166667 863.166667 2448.536054 9666.857845
## [8591] 783.694444 929.083333 1249.481746 4374.416667 887.800000
## [8596] 4558.372222 2549.534524 168.000000 849.833333 621.416667
## [8601] 2386.000000 385.291667 2498.833658 550.166667 814.000000
## [8606] 446.250000 143.200000 4081.248718 1607.191667 1233.307765
## [8611] 676.250000 4709.992857 168.500000 11246.133790 1729.750000
## [8616] 661.916667 8437.099188 1145.416667 174.083333 372.250000
## [8621] 3725.670725 2547.717986 2073.383333 2784.800000 796.250000
## [8626] 181.750000 2209.554876 284.700000 4937.639583 593.291667
## [8631] 752.761905 3494.831225 248.000000 1793.214286 968.092445
## [8636] 2161.133333 865.807143 1202.750000 4447.110508 1669.940186
## [8641] 290.100000 1704.580556 2106.833333 398.694444 16138.290800
## [8646] 2123.000000 851.885714 381.750000 535.000000 5076.380556
## [8651] 1543.500000 3675.500000 689.060606 323.683333 935.250000
## [8656] 555.666667 235.416667 524.000000 445.583333 916.500000
## [8661] 2453.177381 673.625000 220.266667 170.250000 91.750000
## [8666] 316.541667 818.583333 620.500000 1143.833333 2011.041667
## [8671] 1410.238889 448.194589 953.666667 2426.791667 6732.124414
## [8676] 33.333333 544.000000 858.833333 344.345238 2195.283333
## [8681] 3452.262500 865.583333 3614.105147 1893.444444 1090.700000
## [8686] 682.958333 1183.650000 7114.798341 880.633333 2652.552904
## [8691] 2190.429367 356.083333 212.750000 357.750000 1605.875000
## [8696] 3608.432937 9354.484111 4442.394444 2767.625000 332.333333
## [8701] 4568.338675 2780.600000 825.140152 172.208333 226.666667
## [8706] 3989.485553 3401.300000 2436.106169 4514.739394 3418.696975
## [8711] 181.666667 689.991667 755.250000 106.750000 3830.000000
## [8716] 8060.963948 96.125000 1544.750000 3215.173074 3688.846861
## [8721] 827.166667 4165.138690 1838.850000 3887.222321 3174.642793
## [8726] 700.127778 1316.035714 2572.429487 1287.958333 2019.828571
## [8731] 716.791667 3339.075980 6817.942235 3785.562500 361.000000
## [8736] 2570.426190 1209.558333 366.583333 4191.031746 5402.785260
## [8741] 2451.000000 7980.363439 968.666667 1390.583333 2466.533333
## [8746] 592.500000 1933.423611 1869.451190 2581.355128 170.666667
## [8751] 875.155952 2871.104167 2258.175000 1982.884524 2856.993600
## [8756] 2232.833333 955.525000 3329.100000 1283.750000 423.166667
## [8761] 1570.469048 602.916667 205.500000 3186.958333 646.166667
## [8766] 633.750000 100.250000 1338.933333 542.933333 9405.836721
## [8771] 249.333333 672.875000 930.014103 5093.300000 3580.333333
## [8776] 2034.466667 101.750000 997.287879 412.250000 680.500000
## [8781] 1093.833333 4502.511111 2716.519048 1878.195833 1039.887446
## [8786] 3274.521154 4484.669445 67.666667 5208.650000 646.825000
## [8791] 1617.519048 955.543215 350.250000 1873.589297 1712.416667
## [8796] 696.875000 916.625000 83.416667 3585.177579 2964.650595
## [8801] 757.375000 3913.987030 685.750000 572.000000 213.000000
## [8806] 180.750000 933.850000 3163.143290 347.732143 3634.141512
## [8811] 784.083333 6050.883117 2228.707287 936.133333 2706.595238
## [8816] 1494.125000 1178.250000 2447.300000 487.000000 1438.100000
## [8821] 533.700000 316.600000 2180.933333 778.675000 724.766667
## [8826] 1189.053571 2054.841667 375.554762 4344.919986 329.683333
## [8831] 338.750000 8425.870475 109.166667 1996.816667 470.500000
## [8836] 267.750000 3013.116917 1336.208333 496.482143 1384.197436
## [8841] 404.339286 1118.833333 578.810606 129.250000 586.850000
## [8846] 1661.166667 3457.285317 1037.819444 4984.542857 1591.000000
## [8851] 315.779762 1599.994589 10044.757560 603.250000 686.583333
## [8856] 117.625000 4931.198912 3708.383949 3411.955853 143.375000
## [8861] 194.750000 119.250000 456.525000 262.916667 250.250000
## [8866] 2853.020833 1029.250000 3606.088889 2267.833333 1344.340476
## [8871] 2415.416667 1398.937500 313.583333 2546.856685 1253.176407
## [8876] 938.583333 914.333333 833.669551 2253.799603 5358.375439
## [8881] 446.383333 499.608333 1231.500000 1364.812500 339.750000
## [8886] 362.750000 2375.083333 577.541667 1483.800000 943.250000
## [8891] 1167.950000 3719.643711 947.357702 2335.633333 1109.083333
## [8896] 225.500000 662.500000 269.683333 766.250000 3487.124710
## [8901] 11257.108300 755.175000 1265.892857 81.750000 170.750000
## [8906] 1182.416667 585.650000 1805.425000 2590.016667 374.000000
## [8911] 3346.041667 1212.441667 2478.070833 10497.154430 297.833333
## [8916] 1689.708333 829.333333 1659.866667 4006.359314 1285.166667
## [8921] 1753.083333 1952.750000 1194.750000 235.500000 2631.473214
## [8926] 812.104762 422.500000 372.816667 1474.530303 832.083333
## [8931] 1204.416667 930.053571 190.159091 1692.257143 178.250000
## [8936] 2663.583333 897.783730 3998.333333 3505.087955 12499.377110
## [8941] 12433.218650 221.375000 5947.971230 134.500000 4478.699416
## [8946] 4875.609432 3978.626167 138.166667 794.541667 2426.266667
## [8951] 4829.625000 1776.083333 98.550000 1268.116667 1263.864951
## [8956] 1164.202381 599.583333 5209.958128 1005.833333 6794.735417
## [8961] 2544.053571 56.625000 1717.740476 1778.663263 1246.708333
## [8966] 342.920238 2565.797222 488.409091 4838.294060 7445.957075
## [8971] 2763.011332 1874.841667 493.000000 293.416667 2903.764417
## [8976] 8956.097502 1140.791667 723.766667 1584.250000 7468.860173
## [8981] 610.975000 276.500000 47.250000 0.500000 431.166667
## [8986] 1249.750000 366.750000 3230.546573 1195.375000 7514.790476
## [8991] 10580.344790 1170.711048 1034.312500 1477.734676 1786.109649
## [8996] 1787.500000 104.500000 369.050000 1407.375000 2002.814281
## [9001] 4008.578283 866.416667 381.250000 2796.316667 8068.742154
## [9006] 160.250000 1909.232143 2002.230612 1677.178571 9485.374568
## [9011] 1162.797222 1899.598899 1089.625000 1435.772114 6630.479365
## [9016] 6194.852381 2767.366071 2271.553571 325.166667 1477.394841
## [9021] 343.833333 173.433333 1697.058333 1860.250000 122.666667
## [9026] 267.733333 53.833333 308.333333 929.333333 2265.571429
## [9031] 663.000000 1009.430952 601.086415 529.500000 640.875000
## [9036] 369.500000 534.263889 305.400000 2834.280117 465.732143
## [9041] 1073.295779 868.678571 351.500000 807.083333 3041.676452
## [9046] 403.416667 2186.145833 720.150000 2408.579762 1602.350000
## [9051] 150.250000 879.500000 1234.525000 954.908333 3740.291667
## [9056] 759.083333 831.111111 537.625000 1234.500000 690.254167
## [9061] 152.750000 797.761905 2895.129762 2011.305556 614.750000
## [9066] 417.750000 3400.248897 2526.483333 613.895833 1237.000000
## [9071] 651.866667 491.375000 469.976190 219.250000 607.589286
## [9076] 107.250000 1256.333333 1624.941667 333.250000 2386.066667
## [9081] 3324.597222 59.250000 249.666667 3874.240873 1930.410714
## [9086] 3554.649020 766.216667 1307.472222 661.138889 3556.346795
## [9091] 1141.175000 2958.216667 1553.269048 579.000000 1222.250000
## [9096] 1947.500000 166.083333 4223.409838 14988.591510 402.043040
## [9101] 935.900000 412.083333 215.952381 455.083333 1300.041667
## [9106] 7767.325560 701.803247 434.583333 1919.550000 1251.932143
## [9111] 2350.905769 10886.876920 12460.670060 4403.382777 2151.097436
## [9116] 1055.750000 760.619048 1012.166667 810.333333 4567.942696
## [9121] 502.916667 1251.316667 3624.056349 155.250000 900.500000
## [9126] 2616.905952 138.750000 4334.815476 772.916667 1138.250000
## [9131] 2266.270833 1892.005556 181.300000 947.883333 2719.525974
## [9136] 668.100000 916.922222 5617.092505 38.750000 3095.200725
## [9141] 730.350000 612.819444 702.643162 461.108333 642.464286
## [9146] 1259.872817 1032.008333 94.000000 153.750000 380.946429
## [9151] 653.859524 1740.525631 1889.833333 984.500000 5246.435176
## [9156] 1222.625000 1597.106090 1204.664683 1689.134524 11231.410120
## [9161] 317.250000 1262.488779 587.916667 1324.133333 378.500000
## [9166] 365.166667 81.375000 315.694444 189.416667 7750.537279
## [9171] 681.500000 4312.225000 338.791667 5286.208333 3486.194444
## [9176] 6560.007540 2971.254167 2612.000000 3085.620238 4609.626389
## [9181] 123.666667 446.416667 1248.058333 541.207143 2365.429545
## [9186] 2706.375000 783.666667 4264.419078 997.708333 548.166667
## [9191] 7356.402381 6375.065753 7128.753770 4803.827170 4777.812554
## [9196] 4479.116226 501.800000 2591.795346 4054.755952 471.416667
## [9201] 1157.416667 2016.115385 839.416667 2633.084900 190.500000
## [9206] 7532.511111 76.666667 370.458333 2277.555556 5948.998311
## [9211] 1089.208333 1320.189881 246.166667 1106.000000 264.250000
## [9216] 487.458333 1352.000000 644.875000 887.000000 122.225000
## [9221] 1002.847222 961.250000 14150.546130 2701.337954 823.000000
## [9226] 1897.687500 220.500000 2218.717208 159.300000 146.916667
## [9231] 3269.256933 444.250000 619.520833 2925.677607 4097.403993
## [9236] 1753.761111 7700.501461 787.750000 1589.625000 2994.827381
## [9241] 3211.344872 1958.833333 2628.000000 124.750000 2709.522357
## [9246] 11240.976690 790.000000 3006.883631 376.516667 7190.547947
## [9251] 772.625000 901.288889 54.333333 179.958333 2721.555108
## [9256] 1673.593939 670.000000 1121.416667 1284.361822 281.900000
## [9261] 1085.250000 353.083333 5395.201794 389.410714 483.291667
## [9266] 1493.353846 350.375000 1375.800000 568.250000 1254.295238
## [9271] 2221.000000 4597.575252 234.500000 146.375000 1119.541667
## [9276] 329.250000 429.916667 1127.566667 1500.033333 1032.900000
## [9281] 3346.501984 732.344872 4928.927389 1568.650000 430.166667
## [9286] 576.857143 891.500000 3779.444444 557.350000 50.250000
## [9291] 1065.450000 4391.876232 221.208333 298.875000 2117.654762
## [9296] 5610.686899 1460.256115 764.666667 12595.627760 761.750000
## [9301] 12166.694240 2007.000000 3944.384921 64.208333 4227.094444
## [9306] 631.775000 416.583333 1063.420238 1934.225758 2527.083333
## [9311] 2495.615079 655.875000 1415.387500 658.750000 332.166667
## [9316] 498.200000 330.166667 97.833333 345.000000 1668.950000
## [9321] 1327.666667 941.672619 735.439286 5091.890896 277.166667
## [9326] 1342.434295 371.250000 1110.666667 4947.358038 1706.064885
## [9331] 383.458333 82.750000 68.250000 1033.000000 687.483333
## [9336] 2599.015278 2371.122222 671.625000 1461.416667 386.250000
## [9341] 1355.483333 331.083333 651.666667 1909.080556 874.404762
## [9346] 770.500000 612.625000 320.750000 2405.652778 343.625000
## [9351] 182.625000 213.947222 1521.150000 1344.458333 1081.666667
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## [9361] 4201.508333 241.625000 753.500000 1440.933333 1896.966667
## [9366] 609.348810 437.833333 1038.791667 1347.266667 370.666667
## [9371] 60.250000 543.958333 5509.717928 449.250000 332.125000
## [9376] 1694.333333 249.821429 5588.185426 4792.380767 988.259524
## [9381] 36.250000 1171.071429 4698.796429 1276.594048 392.500000
## [9386] 6942.783547 966.358333 1107.922619 1403.541667 2068.248473
## [9391] 829.519048 602.500000 792.750000 868.016667 933.550000
## [9396] 398.979167 2900.791667 1232.083333 9230.890838 636.500000
## [9401] 2338.950000 941.916667 8777.613879 1883.444231 1467.654221
## [9406] 1043.150000 1509.500000 1277.842857 282.750000 654.875000
## [9411] 610.309524 586.000000 5155.351132 640.375000 12003.317580
## [9416] 161.250000 3865.838889 2801.131746 1840.369156 4637.538420
## [9421] 647.625000 2018.762066 297.083333 6308.063793 278.750000
## [9426] 85.250000 1836.214249 289.555556 704.300000 4108.808442
## [9431] 3354.078463 1121.500000 1387.500000 2924.432937 1010.375000
## [9436] 3116.500000 1570.791667 2163.500000 6212.779517 6384.366987
## [9441] 1023.125000 879.800000 9676.093180 8115.845852 693.254167
## [9446] 278.666667 1012.233333 1014.375000 1107.267857 5496.630355
## [9451] 1609.990079 6338.256636 3459.479978 52.666667 1053.841565
## [9456] 3671.675000 2219.866667 155.333333 1134.455556 389.166667
## [9461] 902.666667 2201.710714 102.750000 3653.641667 264.083333
## [9466] 853.416667 217.500000 223.416667 1893.650488 2077.806007
## [9471] 1389.216667 6784.671131 183.875000 199.250000 3675.940705
## [9476] 840.995292 3466.794048 833.750000 1350.258333 1624.750000
## [9481] 1326.107143 239.583333 413.666667 1458.993056 1287.852778
## [9486] 2640.135697 6673.291392 671.866667 189.750000 472.361111
## [9491] 171.250000 4269.493146 3109.404167 1236.638095 1699.073611
## [9496] 4310.004668 1010.250000 540.333333 2720.265368 867.000000
## [9501] 812.300000 2802.116667 4214.779822 3923.586111 3414.875000
## [9506] 6072.032391 2159.004167 671.550000 2773.010873 909.154870
## [9511] 2664.445833 959.811742 2001.833333 4845.989214 1445.840909
## [9516] 2674.339216 1656.410714 7453.766667 854.550000 2650.416667
## [9521] 3918.363736 197.416667 6340.152381 730.791667 88.500000
## [9526] 1008.500000 1422.850000 313.928571 139.750000 472.875000
## [9531] 719.583333 185.250000 172.000000 655.542857 1168.619841
## [9536] 1041.750000 1121.250000 4018.450000 262.900000 4627.489571
## [9541] 11431.001240 2773.500000 705.833333 1453.640882 1128.583333
## [9546] 143.583333 1075.250000 1157.976190 1783.791667 465.750000
## [9551] 184.250000 346.000000unique(customer.df$BounceRates)## [1] 0.200000000 0.000000000 0.050000000 0.020000000 0.015789474 0.018750000
## [7] 0.008333333 0.002857143 0.043478261 0.040000000 0.014285714 0.015384615
## [13] 0.025000000 0.028571429 0.003030303 0.017142857 0.066666667 0.011111111
## [19] 0.011764706 0.009000000 0.002150538 0.004347826 0.016666667 0.057142857
## [25] 0.003703704 0.038095238 0.004166667 0.007058824 0.150000000 0.044444444
## [31] 0.000854701 0.008000000 0.012903226 0.018181818 0.028000000 0.133333333
## [37] 0.005555556 0.007142857 0.007500000 0.100000000 0.033333333 0.008695652
## [43] 0.030303030 0.015217391 0.086666667 0.010743802 0.003174603 0.001960784
## [49] 0.036190476 0.009090909 0.002061856 0.013068182 0.037619048 0.006666667
## [55] 0.005714286 0.080000000 0.001481481 0.010526316 0.004000000 0.005263158
## [61] 0.006896552 0.011578947 0.022807018 0.023529412 0.005000000 0.012676056
## [67] 0.007246377 0.010000000 0.015555556 0.006451613 0.035714286 0.014583333
## [73] 0.010638298 0.011428571 0.010588235 0.013500000 0.004545455 0.012571429
## [79] 0.013793103 0.022916667 0.005128205 0.013333333 0.003076923 0.002631579
## [85] 0.027083333 0.000098300 0.014814815 0.013888889 0.008897485 0.005333333
## [91] 0.011200000 0.019047619 0.009929078 0.015625000 0.004081633 0.004255319
## [97] 0.003508772 0.005405405 0.022222222 0.003870968 0.075000000 0.002197802
## [103] 0.003571429 0.030000000 0.012500000 0.026666667 0.077777778 0.020512821
## [109] 0.017105263 0.013636364 0.030769231 0.007407407 0.019871795 0.003333333
## [115] 0.007692308 0.028787879 0.005882353 0.023076923 0.038461538 0.009523810
## [121] 0.001298701 0.005797101 0.036363636 0.006635802 0.032727273 0.041666667
## [127] 0.006250000 0.045454545 0.012962963 0.002531328 0.003846154 0.004761905
## [133] 0.002105263 0.002666667 0.003448276 0.000606061 0.004444444 0.055555556
## [139] 0.002439024 0.002469136 0.031932773 0.001666667 0.003673469 0.006060606
## [145] 0.001694915 0.006944444 0.002531646 0.085714286 0.001818182 0.003214696
## [151] 0.011529933 0.001360544 0.007894737 0.024561404 0.000308642 0.000833333
## [157] 0.001098901 0.012121212 0.005952381 0.013675214 0.061538462 0.015686275
## [163] 0.000563380 0.024242424 0.000668896 0.005660377 0.064285714 0.000980392
## [169] 0.004489796 0.010256410 0.007258065 0.003205128 0.016216216 0.016326531
## [175] 0.002272727 0.021052632 0.016000000 0.010869565 0.002941176 0.000892857
## [181] 0.003478261 0.010909091 0.037500000 0.019354839 0.006315789 0.006818182
## [187] 0.003361345 0.003125000 0.001030928 0.011965812 0.004848485 0.021621622
## [193] 0.007967033 0.006470588 0.008928571 0.029629630 0.001333333 0.007843137
## [199] 0.001190476 0.019393939 0.083333333 0.003301887 0.036842105 0.031578947
## [205] 0.006153846 0.002564103 0.017647059 0.019444444 0.003389831 0.000751880
## [211] 0.036000000 0.003070175 0.007272727 0.027586207 0.001562500 0.031818182
## [217] 0.002985075 0.045833333 0.146666667 0.006334842 0.120000000 0.026388889
## [223] 0.012698413 0.003773585 0.001315789 0.161904762 0.004117063 0.013008130
## [229] 0.009032258 0.000374532 0.001724138 0.018055556 0.005172414 0.001550388
## [235] 0.020689655 0.021276596 0.002699055 0.014634146 0.002930403 0.001230769
## [241] 0.000297619 0.038596491 0.002898551 0.004878049 0.000123762 0.001379310
## [247] 0.002636535 0.042857143 0.032258065 0.034782609 0.060000000 0.009850746
## [253] 0.015995116 0.010810811 0.014141414 0.069230769 0.007777778 0.008087680
## [259] 0.014009662 0.023809524 0.046153846 0.004242424 0.000555556 0.011461988
## [265] 0.001780415 0.012727273 0.031111111 0.140000000 0.001754386 0.047058824
## [271] 0.007017544 0.014184397 0.010989011 0.012280702 0.008888889 0.008943089
## [277] 0.002000000 0.011714286 0.005310734 0.001142857 0.071428571 0.002222222
## [283] 0.004123711 0.002040816 0.155555556 0.011512297 0.009172260 0.008357771
## [289] 0.003636364 0.006097561 0.005500000 0.015000000 0.011827957 0.072108844
## [295] 0.018604651 0.062500000 0.070588235 0.005816216 0.013580247 0.004909561
## [301] 0.018787879 0.003954802 0.006306306 0.020132610 0.012820513 0.009259259
## [307] 0.012878788 0.000256410 0.003188406 0.012433862 0.028065242 0.131250000
## [313] 0.008823529 0.021428571 0.164285714 0.042145594 0.006976744 0.009183673
## [319] 0.026470588 0.007377049 0.026502732 0.088888889 0.063636364 0.019230769
## [325] 0.024000000 0.012765957 0.160000000 0.027777778 0.001408451 0.000925926
## [331] 0.001041667 0.014642857 0.022988506 0.049481481 0.022641509 0.005547653
## [337] 0.009615385 0.026260504 0.021138211 0.003200000 0.035294118 0.002777778
## [343] 0.006369427 0.005617978 0.018333333 0.002812500 0.014705882 0.026086957
## [349] 0.027272727 0.042105263 0.030434783 0.014367816 0.053968254 0.037037037
## [355] 0.008510638 0.053333333 0.115384615 0.006578947 0.001687764 0.004651163
## [361] 0.009950249 0.142857143 0.001212121 0.011320755 0.007600000 0.093333333
## [367] 0.019607843 0.032894737 0.007332941 0.001699507 0.001470588 0.000033500
## [373] 0.021764706 0.019308469 0.021288515 0.010434783 0.023255814 0.004285714
## [379] 0.004263566 0.018518519 0.007660455 0.029411765 0.003747073 0.114285714
## [385] 0.003093259 0.010975610 0.013827160 0.001851852 0.086956522 0.024871795
## [391] 0.014750000 0.004310345 0.034375000 0.028205128 0.018070818 0.006349206
## [397] 0.078947368 0.042592593 0.000952381 0.122222222 0.024747475 0.021938776
## [403] 0.021162791 0.019512195 0.016571429 0.054545455 0.022727273 0.037894737
## [409] 0.111111111 0.014743590 0.001904762 0.011403509 0.005346832 0.001726619
## [415] 0.005696203 0.017543860 0.001111111 0.004687500 0.010958904 0.012000000
## [421] 0.018018018 0.003157895 0.006766917 0.001169591 0.004807692 0.004109589
## [427] 0.015151515 0.056000000 0.002884615 0.051388889 0.084210526 0.020138889
## [433] 0.001086957 0.068571429 0.001439737 0.001739130 0.006410256 0.047619048
## [439] 0.047479439 0.037878788 0.002509267 0.002688695 0.105263158 0.032000000
## [445] 0.002657807 0.001282051 0.008070175 0.044000000 0.030555556 0.001605136
## [451] 0.020588235 0.021739130 0.051190476 0.001149425 0.003069054 0.032432432
## [457] 0.003225806 0.087500000 0.017283951 0.009756098 0.015833333 0.183333333
## [463] 0.004511278 0.009340659 0.004918033 0.014193548 0.017761848 0.008878505
## [469] 0.025147059 0.042553191 0.043750000 0.002692308 0.024074074 0.004819277
## [475] 0.013953488 0.004861111 0.018258179 0.005420054 0.004301075 0.000766284
## [481] 0.005479452 0.013725490 0.000757576 0.048888889 0.021112782 0.011149826
## [487] 0.002528736 0.003418803 0.015909091 0.017500000 0.066459627 0.010714286
## [493] 0.010119048 0.018392857 0.038654646 0.007526882 0.003278689 0.020476190
## [499] 0.005474453 0.008474576 0.004938272 0.015517241 0.008196721 0.004888889
## [505] 0.039215686 0.013144750 0.028947368 0.005309735 0.001917808 0.007547170
## [511] 0.008064516 0.036250000 0.166666667 0.002173913 0.013593814 0.044736842
## [517] 0.005208333 0.021348315 0.075675676 0.016190476 0.010752688 0.018840580
## [523] 0.041843972 0.014666667 0.001736111 0.012205270 0.012345679 0.001034483
## [529] 0.001886792 0.009375000 0.007909605 0.007291667 0.042528736 0.002515091
## [535] 0.017857143 0.072727273 0.001226310 0.035000000 0.011555556 0.001923077
## [541] 0.036781609 0.074074074 0.023794872 0.038888889 0.004098361 0.039495923
## [547] 0.125000000 0.041176471 0.023214286 0.005970149 0.092857143 0.025806452
## [553] 0.092592593 0.053571429 0.006779661 0.019090909 0.034920635 0.020075188
## [559] 0.010606061 0.017204301 0.000877193 0.090476190 0.009433962 0.009740260
## [565] 0.000070900 0.052380952 0.003108808 0.017391304 0.039285714 0.004113924
## [571] 0.016923077 0.021951220 0.006837607 0.045356473 0.015476190 0.015577078
## [577] 0.004316547 0.008163265 0.032738095 0.014942529 0.012206573 0.010447761
## [583] 0.038709677 0.004890511 0.045238095 0.010009921 0.029166667 0.005102041
## [589] 0.009758454 0.001785714 0.000628931 0.023931624 0.013750000 0.003921569
## [595] 0.010344828 0.015172414 0.047777778 0.017721519 0.046969697 0.004313725
## [601] 0.003750000 0.005154639 0.065384615 0.005084746 0.003065134 0.012874780
## [607] 0.002702703 0.008571429 0.013043478 0.025333333 0.056666667 0.010917582
## [613] 0.013541667 0.000537634 0.004662005 0.028985507 0.006172840 0.017156863
## [619] 0.008771930 0.001587302 0.009677419 0.176923077 0.017021277 0.006280193
## [625] 0.005072464 0.005866667 0.021333333 0.001937543 0.011742424 0.017460317
## [631] 0.002883379 0.015331010 0.009589041 0.020408163 0.048000000 0.012222222
## [637] 0.018918919 0.005769231 0.011904762 0.002608696 0.011259259 0.026923077
## [643] 0.002409639 0.006343284 0.005142857 0.073529412 0.013157895 0.003083900
## [649] 0.007667474 0.010388889 0.007795699 0.068421053 0.060655738 0.011214953
## [655] 0.000975610 0.001494396 0.003519062 0.045977011 0.018857143 0.031250000
## [661] 0.013207547 0.011475410 0.027407407 0.016438356 0.018346253 0.018000000
## [667] 0.003252033 0.000645161 0.000287356 0.049318182 0.019934641 0.007592593
## [673] 0.000217391 0.001156069 0.017241379 0.082352941 0.006333333 0.025423729
## [679] 0.002325581 0.017088608 0.077419355 0.087356322 0.001850220 0.000170068
## [685] 0.014423077 0.005747126 0.000585938 0.066226415 0.026728111 0.001092896
## [691] 0.007402653 0.005853659 0.006500000 0.003956044 0.018666667 0.024615385
## [697] 0.081250000 0.015757576 0.017730496 0.040740741 0.035380117 0.032142857
## [703] 0.013821990 0.011458333 0.046296296 0.048333333 0.004692308 0.058620690
## [709] 0.000531915 0.005454545 0.030107527 0.029268293 0.017187500 0.029901961
## [715] 0.014414414 0.002247191 0.012525010 0.009230769 0.003939056 0.090000000
## [721] 0.005925926 0.009444444 0.026562500 0.036601307 0.002614379 0.010144928
## [727] 0.009406495 0.043333333 0.014875647 0.001538462 0.013711002 0.002463054
## [733] 0.047222222 0.002083333 0.011627907 0.002816901 0.023000000 0.021875000
## [739] 0.014957265 0.009302326 0.003874092 0.031481481 0.033469388 0.003409091
## [745] 0.011538462 0.027619048 0.056250000 0.020202020 0.018137255 0.031944444
## [751] 0.016734694 0.016901408 0.076923077 0.000847458 0.000571429 0.015277778
## [757] 0.005357143 0.004851285 0.039766082 0.009237379 0.035555556 0.018032787
## [763] 0.000675676 0.027659574 0.002252252 0.040096618 0.016842105 0.015104167
## [769] 0.015772358 0.011363636 0.014000000 0.009876543 0.008954009 0.000781250
## [775] 0.007028112 0.004597701 0.017506494 0.013114754 0.011494253 0.007972028
## [781] 0.042083333 0.005607477 0.007189542 0.016117216 0.104166667 0.001363636
## [787] 0.028169014 0.000653595 0.006570513 0.021142857 0.007207207 0.091666667
## [793] 0.025510204 0.002645503 0.039705882 0.059523810 0.000684932 0.012077922
## [799] 0.014979592 0.010666667 0.016091954 0.018627451 0.000641026 0.001075269
## [805] 0.016825397 0.007751938 0.020411523 0.019711538 0.018642295 0.002755906
## [811] 0.021212121 0.022541254 0.061111111 0.026315789 0.009459459 0.005681818
## [817] 0.008889185 0.003477744 0.013471503 0.035087719 0.036206897 0.045307443
## [823] 0.034492302 0.019666667 0.002127660 0.053355457 0.013731061 0.037373737
## [829] 0.002539683 0.025170765 0.047818740 0.015359477 0.015533981 0.027160494
## [835] 0.025952381 0.019496855 0.034126984 0.032236842 0.009722222 0.020930233
## [841] 0.032304527 0.180000000 0.001515152 0.034545455 0.012661499 0.007228916
## [847] 0.014473684 0.109090909 0.031770833 0.050909091 0.001607717 0.040909091
## [853] 0.003603604 0.018279570 0.013620072 0.002500000 0.001869159 0.000169693
## [859] 0.028594771 0.016949153 0.007738095 0.010109290 0.003588626 0.019200000
## [865] 0.022685185 0.026634769 0.008527132 0.046212121 0.004365079 0.004040404
## [871] 0.004155844 0.012549679 0.021367521 0.059090909 0.051851852 0.000027300
## [877] 0.074137931 0.005980066 0.074418605 0.013526570 0.006722689 0.045000000
## [883] 0.079279279 0.046666667 0.017486109 0.018814433 0.042666667 0.008108108
## [889] 0.022666667 0.032877299 0.007446809 0.002821317 0.004571429 0.001176471
## [895] 0.034693878 0.027380952 0.003614458 0.060416667 0.017699115 0.000888889
## [901] 0.121621622 0.015510204 0.011455734 0.010833333 0.053205128 0.000323719
## [907] 0.015327635 0.007317073 0.001307190 0.015444370 0.057801418 0.032051282
## [913] 0.002554278 0.004356436 0.026075269 0.010209424 0.112500000 0.005533063
## [919] 0.017126437 0.004804805 0.006716418 0.007619048 0.002739726 0.002380952
## [925] 0.004210526 0.002959159 0.006557377 0.004512398 0.127272727 0.007903295
## [931] 0.039000000 0.052252252 0.018048780 0.006140351 0.001709402 0.032611502
## [937] 0.032098765 0.068518519 0.084615385 0.005230769 0.029946524 0.002671513
## [943] 0.013402778 0.010416667 0.015773810 0.017948718 0.002181818 0.015762274
## [949] 0.012800000 0.002520046 0.002431163 0.010687023 0.008247423 0.027118644
## [955] 0.056140351 0.004269006 0.002090592 0.028048780 0.019799499 0.019259259
## [961] 0.052564103 0.015238095 0.027027027 0.027053140 0.032954545 0.004273504
## [967] 0.007936508 0.062222222 0.012735849 0.007264957 0.031060606 0.008611111
## [973] 0.013661202 0.000724638 0.013882353 0.041945289 0.011351351 0.012244898
## [979] 0.058333333 0.006631763 0.003592814 0.003138528 0.003191489 0.031313131
## [985] 0.016352201 0.000352113 0.002597403 0.027526132 0.001909722 0.101149425
## [991] 0.052941176 0.003044140 0.008080808 0.009853301 0.011252599 0.010317460
## [997] 0.068292683 0.004421769 0.000226757 0.022580645 0.035370370 0.062745098
## [1003] 0.012852234 0.008914729 0.058928571 0.090909091 0.002339181 0.007007576
## [1009] 0.008421053 0.014035088 0.018556202 0.000934579 0.002291667 0.014102564
## [1015] 0.008620690 0.000038300 0.008636364 0.015609756 0.017351104 0.008800000
## [1021] 0.036507937 0.024722222 0.015492958 0.070833333 0.015456989 0.043181818
## [1027] 0.009803922 0.010055755 0.005666667 0.002722772 0.023333333 0.015178571
## [1033] 0.019362745 0.014074074 0.015839126 0.014682540 0.001532567 0.023134328
## [1039] 0.012068966 0.006122449 0.008552632 0.007631579 0.039047619 0.011818182
## [1045] 0.023611111 0.054285714 0.001025641 0.011084337 0.016417910 0.072222222
## [1051] 0.074774775 0.005563910 0.010101010 0.003575419 0.000276040 0.024324324
## [1057] 0.036936937 0.002453988 0.006593407 0.000714286 0.009289968 0.000830955
## [1063] 0.003111111 0.048148148 0.024937343 0.010232558 0.009105691 0.011392405
## [1069] 0.041463415 0.011250000 0.044047619 0.061904762 0.017534722 0.009803094
## [1075] 0.058823529 0.009009009 0.000696864 0.020952381 0.000902151 0.013768116
## [1081] 0.003140097 0.025906525 0.002892562 0.014166667 0.001891253 0.039473684
## [1087] 0.029570957 0.000694444 0.026984127 0.041333333 0.012378641 0.019139785
## [1093] 0.011842105 0.022153846 0.006024096 0.013829787 0.055172414 0.005615082
## [1099] 0.019973545 0.031506849 0.020689931 0.006425703 0.013235294 0.000391389
## [1105] 0.010365854 0.015227273 0.010204082 0.012558140 0.055000000 0.018974359
## [1111] 0.046913580 0.004494382 0.164230769 0.006857143 0.020833333 0.056060606
## [1117] 0.022076923 0.009345794 0.005698006 0.005177873 0.069565217 0.034482759
## [1123] 0.005345912 0.001459854 0.004266667 0.001773050 0.051797386 0.006213018
## [1129] 0.020754717 0.010270270 0.042222222 0.006342495 0.006756757 0.015758703
## [1135] 0.060925926 0.059649123 0.024223602 0.012239583 0.030612245 0.007435897
## [1141] 0.005050505 0.001204819 0.005995204 0.000340136 0.057870370 0.002259887
## [1147] 0.005664488 0.012549020 0.002556818 0.001811594 0.001265823 0.033000000
## [1153] 0.032478632 0.033789954 0.009900332 0.015067698 0.000209249 0.000039400
## [1159] 0.018785882 0.110000000 0.040350877 0.001495726 0.061494253 0.023846154
## [1165] 0.003314917 0.003604845 0.003370787 0.021929825 0.012666667 0.000425406
## [1171] 0.080837790 0.037525773 0.138461538 0.023456790 0.009782609 0.000432900
## [1177] 0.107692308 0.059064327 0.024509804 0.003013699 0.010476190 0.014150943
## [1183] 0.011276738 0.007286432 0.021980198 0.005092593 0.014137484 0.025287356
## [1189] 0.024119241 0.065000000 0.025581395 0.013095238 0.008593750 0.019565217
## [1195] 0.090322581 0.015630252 0.038157895 0.030952381 0.003101093 0.004022989
## [1201] 0.004901961 0.004731183 0.005390836 0.006113821 0.001449275 0.000764406
## [1207] 0.008732394 0.036538462 0.008904110 0.009500000 0.005046115 0.110714286
## [1213] 0.005633803 0.009817814 0.039130435 0.003649635 0.000423729 0.017567568
## [1219] 0.003958333 0.008843537 0.029696970 0.004195804 0.000183655 0.015196078
## [1225] 0.125925926 0.010793651 0.028733963 0.003424658 0.015646259 0.000080800
## [1231] 0.020767196 0.003409759 0.007699443 0.006456456 0.029032258 0.025925926
## [1237] 0.025595238 0.008219178 0.011866969 0.005200000 0.001927438 0.015873016
## [1243] 0.002580645 0.016945141 0.005194805 0.010654414 0.002837838 0.006025974
## [1249] 0.011520436 0.004859086 0.011940299 0.009614512 0.006314433 0.000617284
## [1255] 0.002099380 0.008758782 0.001273885 0.004411765 0.004373522 0.024205128
## [1261] 0.002878526 0.005042017 0.007543860 0.000793651 0.004615385 0.002514286
## [1267] 0.001387656 0.009039548 0.001428571 0.018732493 0.003012048 0.001713207
## [1273] 0.004464286 0.001250000 0.005426357 0.000387597 0.001949318 0.095833333
## [1279] 0.019298246 0.005517241 0.020430108 0.005670471 0.034951923 0.008680556
## [1285] 0.012190476 0.002142857 0.002571429 0.005343511 0.001183432 0.011806061
## [1291] 0.012700000 0.007561930 0.007701238 0.008450704 0.018421053 0.005629630
## [1297] 0.008461538 0.002298851 0.011728395 0.001242236 0.002352941 0.004021164
## [1303] 0.024652778 0.002073171 0.027459219 0.002619048 0.014516129 0.007309999
## [1309] 0.003082192 0.016315049 0.004487179 0.056410256 0.013978495 0.000977199
## [1315] 0.007496464 0.016071429 0.030588235 0.009629630 0.002393617 0.003809524
## [1321] 0.004680851 0.005228758 0.008959436 0.022000000 0.027222222 0.013285024
## [1327] 0.011608301 0.001168385 0.001612903 0.007792208 0.036904762 0.012926829
## [1333] 0.073376623 0.004385217 0.009617486 0.002457143 0.001374570 0.022621723
## [1339] 0.005998168 0.012098765 0.007123288 0.008670520 0.032248521 0.004556930
## [1345] 0.003760684 0.005268892 0.003294118 0.003765060 0.019767442 0.007542901
## [1351] 0.007586207 0.009808489 0.041269841 0.017014925 0.008955224 0.003928571
## [1357] 0.027642276 0.026111111 0.007213930 0.006408856 0.005701754 0.007670851
## [1363] 0.002684564 0.003964723 0.002623688 0.006000000 0.002749141 0.006774194
## [1369] 0.001626016 0.007143733 0.013684211 0.005645161 0.000595238 0.000259740
## [1375] 0.012295082 0.011219512 0.019379845 0.007083333 0.028910577 0.010550214
## [1381] 0.005342081 0.011664747 0.010425240 0.043851852 0.003037975 0.014613095
## [1387] 0.012004662 0.012544803 0.037333333 0.008939014 0.030158730 0.004176829
## [1393] 0.001257862 0.032183908 0.000840336 0.015662578 0.007231405 0.003458896
## [1399] 0.010295359 0.003617021 0.006959671 0.000275482 0.070000000 0.000072700
## [1405] 0.007719298 0.013968254 0.009985097 0.017172510 0.005315857 0.007516340
## [1411] 0.007646236 0.006547137 0.003896104 0.003888889 0.006906077 0.022887324
## [1417] 0.017687075 0.008962264 0.044166667 0.012471910 0.006967985 0.038927739
## [1423] 0.004038462 0.000156740 0.001094276 0.000754717 0.007422680 0.023849540
## [1429] 0.025531915 0.007518797 0.009993099 0.000199005 0.002553191 0.009530632
## [1435] 0.019984314 0.022549020 0.003734440 0.004924242 0.009364162 0.003883495
## [1441] 0.015813953 0.010185185 0.012125280 0.005932203 0.035497835 0.002111614
## [1447] 0.003947368 0.008536232 0.003723404 0.002654867 0.039463602 0.001162791
## [1453] 0.007633588 0.006081081 0.011897436 0.008004926 0.002962963 0.010112994
## [1459] 0.002419355 0.002401067 0.005073996 0.014393939 0.019242424 0.017777778
## [1465] 0.006479313 0.002020202 0.012254902 0.002678571 0.010632603 0.000238095
## [1471] 0.021311475 0.005409357 0.003477444 0.005228377 0.175000000 0.011666667
## [1477] 0.004678363 0.016281269 0.007198364 0.001680672 0.003000000 0.005581395
## [1483] 0.012195122 0.007126437 0.004318937 0.004054054 0.002551834 0.001396648
## [1489] 0.012452132 0.013432836 0.017486339 0.011594203 0.005165165 0.000655738
## [1495] 0.028955224 0.005767417 0.013000000 0.000342466 0.024623656 0.001081081
## [1501] 0.008321168 0.000568182 0.003933137 0.015819209 0.003436426 0.051282051
## [1507] 0.003850267 0.008873457 0.014830918 0.006174089 0.022857143 0.012738095
## [1513] 0.000775194 0.003381995 0.006103286 0.000444444 0.003165468 0.058550725
## [1519] 0.006293706 0.082142857 0.008732719 0.006289308 0.004395604 0.014155251
## [1525] 0.002316602 0.014132104 0.007452575 0.000795756 0.002406417 0.009251810
## [1531] 0.034722222 0.008383234 0.003555556 0.008445946 0.002790698 0.000216450
## [1537] 0.004528302 0.003260870 0.003731343 0.020370370 0.003449420 0.005921856
## [1543] 0.007395833 0.009047619 0.002459016 0.002322880 0.001010101 0.013513514
## [1549] 0.001973684 0.008767123 0.014038462 0.007179487 0.002641509 0.004207921
## [1555] 0.004787234 0.002769231 0.019555912 0.015892388 0.012037037 0.003797468
## [1561] 0.012987013 0.003312325 0.004361055 0.002968037 0.012365591 0.000866739
## [1567] 0.004419890 0.005434783 0.001290323 0.021862348 0.002063983 0.003529412
## [1573] 0.007348856 0.002138405 0.005401961 0.018285714 0.004030055 0.013761468
## [1579] 0.003914141 0.007520348 0.000080100 0.048181818 0.009312550 0.002988954
## [1585] 0.005504587 0.005755396 0.010856514 0.018823529 0.007042254 0.007766272
## [1591] 0.019819820 0.003105023 0.001318681 0.004871324 0.007876231 0.002296651
## [1597] 0.023570370 0.006079027 0.016969697 0.019191919 0.003787879 0.011548556
## [1603] 0.005833333 0.007070707 0.020289855 0.024358974 0.018412698 0.004032258
## [1609] 0.009565217 0.000269542 0.004093567 0.006106870 0.018571429 0.001492537
## [1615] 0.001849665 0.008181818 0.003454411 0.003658537 0.034873188 0.013131313
## [1621] 0.004824561 0.000533333 0.009684685 0.001600000 0.001234568 0.029761905
## [1627] 0.006527627 0.006697236 0.002682927 0.015454545 0.001013514 0.000943396
## [1633] 0.008844998 0.001746725 0.026523297 0.000189394 0.001941748 0.010731707
## [1639] 0.025133333 0.011481481 0.001834947 0.021937322 0.005847953 0.003163265
## [1645] 0.023015873 0.002873563 0.003993856 0.003151515 0.005063291 0.001136364
## [1651] 0.005612245 0.007092199 0.016853933 0.033846154 0.004531590 0.009195402
## [1657] 0.020454545 0.000081400 0.002201835 0.011515152 0.006633907 0.012945470
## [1663] 0.005075446 0.005373737 0.009401851 0.022278912 0.003562341 0.008042825
## [1669] 0.011911765 0.004181185 0.024738676 0.003307888 0.121428571 0.011229304
## [1675] 0.013120000 0.004790419 0.010353866 0.006940472 0.007118644 0.003863636
## [1681] 0.028354978 0.001685393 0.095454545 0.004026846 0.000420168 0.014385965
## [1687] 0.014197531 0.044827586 0.011507937 0.012285714 0.082500000 0.024347826
## [1693] 0.010320513 0.010601564 0.003164557 0.001858304 0.011898734 0.036885246
## [1699] 0.017042607 0.002721088 0.009142857 0.003601695 0.004137931 0.004778942
## [1705] 0.010967742 0.008018648 0.009836066 0.003543956 0.006439394 0.001652893
## [1711] 0.013846154 0.003043735 0.011678832 0.003647799 0.006036217 0.010978836
## [1717] 0.003900709 0.002923977 0.016612903 0.011000000 0.034259259 0.001673640
## [1723] 0.000968661 0.000075000 0.007594937 0.016929293 0.012231559 0.001052632
## [1729] 0.008313228 0.000176367 0.006737589 0.003472222 0.008408408 0.007494145
## [1735] 0.006617647 0.008175105 0.010769231 0.005424955 0.004320988 0.003403141
## [1741] 0.005025126 0.002420052 0.010560000 0.021153846 0.009770115 0.014920635
## [1747] 0.011463415 0.005574913 0.000472813 0.028253968 0.017741935 0.007355769
## [1753] 0.002950260 0.002758621 0.002747253 0.038478261 0.001989390 0.006577408
## [1759] 0.019780220 0.022902098 0.007906977 0.008311643 0.003046557 0.004316069
## [1765] 0.005367232 0.003094233 0.012900188 0.003821138 0.004767742 0.003003003
## [1771] 0.005185185 0.008325792 0.003113824 0.010964912 0.015094340 0.003645833
## [1777] 0.015540541 0.012643678 0.004883721 0.014692557 0.017123288 0.006494118
## [1783] 0.008403361 0.008498915 0.006045198 0.059259259 0.012088889 0.005110897
## [1789] 0.007569141 0.002944942 0.009489489 0.005531915 0.016447876 0.003594771
## [1795] 0.012612613 0.015018315 0.002616034 0.002472799 0.007911051 0.008697765
## [1801] 0.010851648 0.014062500 0.007783883 0.004512276 0.009389180 0.012794613
## [1807] 0.005666252 0.005442177 0.009681373 0.004481793 0.005957447 0.005983360
## [1813] 0.010771277 0.000223214 0.006586826 0.016480331 0.012382578 0.004629630
## [1819] 0.001396161 0.001951952 0.010485437 0.016129032 0.002118270 0.016774043
## [1825] 0.008759124 0.008045977 0.004703833 0.002376812 0.005161290 0.005649718
## [1831] 0.003582090 0.006521739 0.001138211 0.011805556 0.021978022 0.001905069
## [1837] 0.000729167 0.002212389 0.003960396 0.006458333 0.017073171 0.007159986
## [1843] 0.006893004 0.003655352 0.006458094 0.000500000 0.009895833 0.002513228
## [1849] 0.007552448 0.012307692 0.006741573 0.024162985 0.011054834 0.008398675
## [1855] 0.058181818 0.010192616 0.001574803 0.002990033 0.002680653 0.004830918
## [1861] 0.004931973 0.018431373 0.018367347 0.010087719 0.000687831 0.030848861
## [1867] 0.008396947 0.000865801 0.005412371 0.003827751 0.000869565 0.011148992unique(customer.df$ExitRates)## [1] 0.200000000 0.100000000 0.140000000 0.050000000 0.024561404 0.022222222
## [7] 0.066666667 0.025833333 0.028571429 0.016312636 0.007692308 0.010000000
## [13] 0.008333333 0.033333333 0.040000000 0.009523810 0.050821256 0.025000000
## [19] 0.080000000 0.020352564 0.056250000 0.071428571 0.001794872 0.006666667
## [25] 0.006060606 0.057142857 0.133333333 0.003636364 0.026111111 0.075000000
## [31] 0.014736467 0.046568627 0.016666667 0.120833333 0.019666667 0.007142857
## [37] 0.012643678 0.015013034 0.007407407 0.052500000 0.012500000 0.014492754
## [43] 0.020000000 0.058333333 0.085714286 0.023809524 0.007894737 0.011764706
## [49] 0.015384615 0.025925926 0.080952381 0.031666667 0.008947368 0.026984127
## [55] 0.013510250 0.017647059 0.150000000 0.074074074 0.017918470 0.024000000
## [61] 0.035483871 0.005555556 0.012962963 0.027272727 0.111111111 0.034375000
## [67] 0.119523810 0.040740741 0.007547170 0.166666667 0.011111111 0.018518519
## [73] 0.046296296 0.018039216 0.011851852 0.009090909 0.030357143 0.028166667
## [79] 0.026315789 0.026666667 0.049930810 0.018840580 0.040606061 0.012463768
## [85] 0.011594203 0.063636364 0.014500000 0.019166667 0.008602151 0.014285714
## [91] 0.047002635 0.012764202 0.027248677 0.006339869 0.013509414 0.020708874
## [97] 0.016727891 0.096000000 0.057662338 0.010173465 0.005797101 0.061406250
## [103] 0.001666667 0.001724138 0.004000000 0.004166667 0.088888889 0.005263158
## [109] 0.043750000 0.037500000 0.049523810 0.042857143 0.013333333 0.120000000
## [115] 0.009150327 0.006578947 0.021052632 0.020666667 0.014666667 0.019230769
## [121] 0.044210526 0.014081633 0.010600255 0.032225685 0.036550087 0.031818182
## [127] 0.046470588 0.030833333 0.019354839 0.041025641 0.048148148 0.018052760
## [133] 0.015201207 0.022253906 0.025666667 0.010370370 0.033862434 0.018709677
## [139] 0.003329865 0.011666667 0.033846154 0.053571429 0.004545455 0.039583333
## [145] 0.026186255 0.044444444 0.038095238 0.024761905 0.007722385 0.022643039
## [151] 0.037476190 0.022424242 0.031907308 0.002272727 0.044761905 0.025555556
## [157] 0.016000000 0.028965517 0.110000000 0.014814815 0.008681765 0.009696970
## [163] 0.038373016 0.016410256 0.000175593 0.003571429 0.002222222 0.023611111
## [169] 0.009213675 0.017324561 0.019047619 0.011904762 0.005057471 0.125000000
## [175] 0.037333333 0.008000000 0.021367521 0.009876543 0.006250000 0.004371585
## [181] 0.003333333 0.028030303 0.047905093 0.053846154 0.009438427 0.030452675
## [187] 0.027742165 0.029431012 0.010588235 0.033504762 0.034933333 0.014000000
## [193] 0.020655014 0.061688312 0.035000000 0.019797366 0.029870130 0.051562500
## [199] 0.006501458 0.020644542 0.013342491 0.008695652 0.020449173 0.014259259
## [205] 0.016250000 0.008108108 0.010526316 0.001709402 0.019540230 0.017543860
## [211] 0.018918919 0.055555556 0.007285123 0.003846154 0.040444444 0.018181818
## [217] 0.002903226 0.037894737 0.046153846 0.037765568 0.019314286 0.053333333
## [223] 0.036507937 0.036000000 0.006451613 0.055000000 0.059846154 0.046666667
## [229] 0.039247312 0.116666667 0.035897436 0.021666667 0.008510638 0.019871795
## [235] 0.032380952 0.047105263 0.034848485 0.076923077 0.035714286 0.040476190
## [241] 0.090000000 0.070000000 0.014008551 0.017259740 0.010493827 0.038461538
## [247] 0.013793103 0.047348485 0.007425380 0.020602653 0.003174603 0.014705882
## [253] 0.013043478 0.036410256 0.058577534 0.021212121 0.072222222 0.014634146
## [259] 0.045833333 0.001190476 0.018965517 0.003703704 0.014035088 0.023983740
## [265] 0.039924242 0.017153855 0.072727273 0.054545455 0.016500000 0.003500000
## [271] 0.022500000 0.031250000 0.004308390 0.027174712 0.053273810 0.002380952
## [277] 0.007051282 0.023619048 0.041176471 0.030952381 0.020233586 0.035397453
## [283] 0.056666667 0.081818182 0.009683372 0.007618770 0.001137980 0.033262108
## [289] 0.010737154 0.014903846 0.009543860 0.002343750 0.015333333 0.018750000
## [295] 0.004444444 0.023529412 0.029687500 0.027586207 0.011616162 0.047619048
## [301] 0.031196581 0.032271242 0.008888889 0.026479076 0.043589744 0.015227273
## [307] 0.007012195 0.004812274 0.045416667 0.023703704 0.014141414 0.043075335
## [313] 0.029166667 0.010434783 0.012222222 0.030000000 0.080392157 0.010666667
## [319] 0.007923497 0.005951036 0.037222222 0.026757370 0.051923077 0.011774152
## [325] 0.025333333 0.002185792 0.018834175 0.010974434 0.023913043 0.020707071
## [331] 0.016289934 0.002976190 0.128571429 0.023666667 0.034285714 0.017493734
## [337] 0.021875000 0.021739130 0.007777778 0.009285714 0.007723577 0.019393939
## [343] 0.002666667 0.014766169 0.033252033 0.000956938 0.015625000 0.083333333
## [349] 0.017428305 0.023245614 0.018487395 0.036842105 0.026591844 0.021794872
## [355] 0.011578947 0.031372549 0.005345441 0.016433566 0.014545455 0.004916136
## [361] 0.039104938 0.030769231 0.016037881 0.020689655 0.003448276 0.016892552
## [367] 0.092307692 0.010142857 0.053125000 0.049411765 0.017396907 0.053030303
## [373] 0.006998399 0.005357143 0.021383648 0.005072464 0.034462810 0.022984749
## [379] 0.021250000 0.020833333 0.012765306 0.010810811 0.007207207 0.023076923
## [385] 0.005882353 0.036923077 0.010344828 0.051111111 0.015989583 0.027083333
## [391] 0.031029186 0.018226601 0.008771930 0.018866213 0.038222222 0.018233487
## [397] 0.005714286 0.020322581 0.023933659 0.002462121 0.015811966 0.004390244
## [403] 0.007309582 0.031531532 0.032653061 0.048484848 0.017954545 0.005055944
## [409] 0.005000000 0.012577640 0.032000000 0.014565217 0.065000000 0.009142857
## [415] 0.013663064 0.017307692 0.033208874 0.002721088 0.020661157 0.005217391
## [421] 0.027138047 0.062500000 0.042741935 0.003508772 0.041666667 0.015196078
## [427] 0.026388889 0.011458333 0.010971006 0.004761905 0.030125313 0.018519814
## [433] 0.060000000 0.027205882 0.011468360 0.014499164 0.012742857 0.031538462
## [439] 0.085185185 0.003917526 0.009259259 0.017802198 0.009552239 0.021538462
## [445] 0.010156250 0.026089744 0.026652893 0.003913043 0.020512821 0.048648649
## [451] 0.036666667 0.011147186 0.019990486 0.018141923 0.028151261 0.018154762
## [457] 0.043055556 0.001041667 0.000800000 0.009358814 0.055026455 0.024242424
## [463] 0.010416667 0.021839080 0.007891429 0.018300654 0.022972973 0.010997732
## [469] 0.016913580 0.025282904 0.014414414 0.033777778 0.020289855 0.095000000
## [475] 0.013104972 0.014583333 0.006127451 0.007111111 0.031944444 0.036957672
## [481] 0.048245614 0.007213115 0.044615385 0.047222222 0.020175439 0.020161290
## [487] 0.048235294 0.029761905 0.001587302 0.004395604 0.009135204 0.007792208
## [493] 0.052631579 0.021269841 0.022794118 0.032142857 0.006896552 0.007000000
## [499] 0.015873016 0.032222222 0.014802260 0.013061325 0.011428571 0.029285714
## [505] 0.023099415 0.095238095 0.012843137 0.005454545 0.035862069 0.007843137
## [511] 0.004651163 0.002083333 0.016544567 0.029795821 0.025378788 0.012261867
## [517] 0.011515152 0.018000000 0.122222222 0.019531250 0.068181818 0.002051282
## [523] 0.015416667 0.013461538 0.006878307 0.039753086 0.035416667 0.049509804
## [529] 0.026190476 0.039682540 0.013636364 0.005405405 0.044351348 0.011923715
## [535] 0.186666667 0.023889556 0.002293202 0.160000000 0.059722222 0.025438596
## [541] 0.012878788 0.015000000 0.061818182 0.096298701 0.005279668 0.024358974
## [547] 0.018817204 0.010215054 0.034959350 0.030266123 0.027575758 0.013782051
## [553] 0.014393939 0.025133361 0.008907697 0.006857143 0.011538462 0.009972955
## [559] 0.046984127 0.003801170 0.010673235 0.008492896 0.011041667 0.012612613
## [565] 0.003921569 0.030128205 0.035507246 0.014693878 0.114285714 0.009615385
## [571] 0.058571429 0.010513320 0.041140351 0.049312469 0.008928571 0.018148931
## [577] 0.014436090 0.045714286 0.022000000 0.003875969 0.042528736 0.028070175
## [583] 0.065333333 0.015942029 0.001242236 0.039007092 0.043333333 0.010160428
## [589] 0.006628788 0.012820513 0.020349845 0.076190476 0.007847222 0.015338753
## [595] 0.020967742 0.010714286 0.023333333 0.007709751 0.022304507 0.015153664
## [601] 0.010784314 0.021080839 0.011330049 0.142857143 0.067972350 0.013800705
## [607] 0.005319149 0.020450450 0.024843206 0.010912698 0.016428571 0.056282051
## [613] 0.031007752 0.002500000 0.015476190 0.005128205 0.035294118 0.045098039
## [619] 0.021969697 0.029629630 0.010256410 0.034615385 0.009090177 0.020139373
## [625] 0.003225806 0.015909091 0.029004329 0.006138614 0.012980564 0.032063492
## [631] 0.024545455 0.077777778 0.014311471 0.024266667 0.001058201 0.002493853
## [637] 0.008959900 0.059523810 0.024274100 0.015097222 0.045614035 0.055591398
## [643] 0.005090909 0.017422643 0.069565217 0.011753515 0.024074074 0.013513514
## [649] 0.014086022 0.001346801 0.027915633 0.008095238 0.017391304 0.031515152
## [655] 0.019931973 0.039110006 0.000586510 0.025541275 0.011019900 0.038738739
## [661] 0.044155844 0.003517665 0.004813218 0.032413793 0.046428571 0.002985075
## [667] 0.036363636 0.001960784 0.013000000 0.041975309 0.005333333 0.002469136
## [673] 0.019615385 0.031578947 0.020270270 0.030612245 0.001754386 0.031481481
## [679] 0.028282828 0.009195402 0.061538462 0.006779661 0.002631579 0.016248380
## [685] 0.017760943 0.026000000 0.093750000 0.008148148 0.023222222 0.017460317
## [691] 0.102564103 0.012916667 0.021186441 0.017877551 0.061111111 0.017066636
## [697] 0.006818182 0.010389610 0.026580162 0.015030864 0.034761905 0.017777778
## [703] 0.005853659 0.007575758 0.017724868 0.002777778 0.019210526 0.017241379
## [709] 0.061904762 0.007230392 0.010451977 0.041915584 0.019282953 0.030876623
## [715] 0.018666667 0.023502304 0.028000000 0.004594595 0.034403292 0.004013317
## [721] 0.043712341 0.027058824 0.009375000 0.027160494 0.026428571 0.021511104
## [727] 0.023423423 0.031111111 0.039251601 0.010365854 0.010905045 0.005158730
## [733] 0.065189145 0.047107438 0.054166667 0.012941176 0.012000000 0.007603276
## [739] 0.020767196 0.005367521 0.037464387 0.146666667 0.021974359 0.003461538
## [745] 0.041333333 0.037575758 0.009722222 0.026562500 0.005788982 0.001086957
## [751] 0.018030303 0.064444444 0.015277778 0.029142857 0.028205128 0.029047619
## [757] 0.021924603 0.060714286 0.012857143 0.023772222 0.022105263 0.010563841
## [763] 0.087500000 0.032456140 0.062745098 0.012121212 0.013440860 0.007986111
## [769] 0.011565934 0.017361111 0.037681159 0.021568627 0.022556391 0.018888889
## [775] 0.029684228 0.027777778 0.018485839 0.031501832 0.015614035 0.016447330
## [781] 0.015555556 0.091666667 0.089285714 0.006734694 0.012301587 0.024837398
## [787] 0.010251724 0.007551020 0.006589147 0.030662021 0.005970149 0.007239057
## [793] 0.012179487 0.027362361 0.013192815 0.001799477 0.015740741 0.112500000
## [799] 0.105000000 0.017977208 0.011505376 0.162500000 0.002159624 0.005636724
## [805] 0.016129032 0.073333333 0.028125000 0.020784314 0.001449275 0.015307716
## [811] 0.024719927 0.012319347 0.025641026 0.064705882 0.177777778 0.039305682
## [817] 0.002564103 0.021089500 0.023321256 0.033973374 0.042307692 0.030701754
## [823] 0.079487179 0.024390244 0.040415616 0.041810345 0.032432432 0.022549020
## [829] 0.073076923 0.017058824 0.019892473 0.025289256 0.123412698 0.004081633
## [835] 0.034101382 0.086507937 0.018571429 0.155555556 0.003076923 0.023000000
## [841] 0.046203704 0.004054054 0.028907563 0.013571429 0.056000000 0.009228841
## [847] 0.095098039 0.000826446 0.043499683 0.058730159 0.020440917 0.070833333
## [853] 0.015030530 0.020887890 0.088271605 0.023939394 0.014481293 0.020370370
## [859] 0.002439024 0.025900901 0.010418719 0.030151515 0.038438438 0.046439700
## [865] 0.028333333 0.003440860 0.017369338 0.021245421 0.036759259 0.017167920
## [871] 0.015711501 0.039015152 0.001481481 0.042424242 0.075208333 0.048333333
## [877] 0.009196581 0.018007866 0.023856765 0.014736842 0.006153846 0.016751935
## [883] 0.036927442 0.002941176 0.168750000 0.014219114 0.029027611 0.026472431
## [889] 0.030666667 0.014387171 0.173809524 0.066781609 0.035271318 0.014160401
## [895] 0.014873664 0.027450980 0.017829457 0.044827586 0.011240310 0.029444444
## [901] 0.075238095 0.007500000 0.027333333 0.015262515 0.059803922 0.025357143
## [907] 0.019090804 0.028759666 0.021428571 0.055331772 0.014367816 0.109090909
## [913] 0.025596405 0.026231884 0.048125000 0.022666667 0.012937063 0.010111111
## [919] 0.017195767 0.010476190 0.055119048 0.020634921 0.023404255 0.173333333
## [925] 0.024814815 0.054666667 0.020277778 0.020580808 0.023003663 0.003553372
## [931] 0.009652076 0.019583333 0.051960784 0.034671498 0.023447941 0.065517241
## [937] 0.058370370 0.036298293 0.006061121 0.019541890 0.011083789 0.050212934
## [943] 0.051219512 0.049122807 0.019189510 0.045000000 0.016111111 0.070588235
## [949] 0.035515873 0.038888889 0.025806452 0.002597403 0.011877551 0.022857143
## [955] 0.040211640 0.013305319 0.016494134 0.015248796 0.016993464 0.003389831
## [961] 0.002857143 0.024900794 0.021194084 0.021354167 0.008227848 0.040277778
## [967] 0.012821256 0.053431373 0.045217391 0.051818182 0.035648148 0.068571429
## [973] 0.059420290 0.016601512 0.017105263 0.056349206 0.043518519 0.014967916
## [979] 0.125641026 0.017192982 0.026893939 0.010776613 0.042965368 0.026923077
## [985] 0.051754386 0.056052632 0.024531190 0.157142857 0.006277056 0.021069182
## [991] 0.025933333 0.028214286 0.126666667 0.025789474 0.037593985 0.031060606
## [997] 0.043137255 0.021296296 0.044423559 0.027963219 0.023761905 0.012414872
## [1003] 0.106666667 0.079166667 0.011288515 0.002197802 0.017708333 0.032912458
## [1009] 0.040229885 0.025194363 0.019819820 0.014896228 0.034444444 0.074369748
## [1015] 0.047477294 0.048611111 0.012345679 0.021754386 0.041498896 0.022727273
## [1021] 0.013015873 0.051785714 0.020804598 0.003273810 0.019553530 0.032558140
## [1027] 0.007428571 0.010939177 0.040800000 0.037037037 0.045267490 0.012253894
## [1033] 0.008451124 0.041269841 0.036793698 0.050933333 0.019191919 0.029430894
## [1039] 0.018387097 0.030158730 0.045454545 0.082692308 0.009574468 0.017016807
## [1045] 0.032020784 0.015897436 0.015888889 0.008161036 0.024444444 0.092753623
## [1051] 0.175000000 0.028828829 0.078269231 0.028421053 0.026819923 0.020429089
## [1057] 0.017471264 0.072115385 0.016049383 0.038562092 0.093333333 0.064880952
## [1063] 0.025750000 0.069696970 0.024137931 0.073412698 0.008587569 0.043950617
## [1069] 0.052941176 0.016086957 0.035374150 0.093859649 0.007993197 0.018407960
## [1075] 0.059814815 0.020897436 0.144444444 0.029597244 0.072916667 0.039201413
## [1081] 0.031768707 0.058974359 0.026470588 0.018042396 0.033684211 0.039269841
## [1087] 0.041869919 0.030933333 0.056140351 0.007753623 0.004273504 0.017261905
## [1093] 0.016190476 0.016783217 0.043560606 0.052722840 0.129761905 0.040555556
## [1099] 0.046491228 0.017435897 0.051238095 0.025292398 0.021971597 0.018076564
## [1105] 0.011632486 0.016284567 0.001360544 0.010690797 0.078333333 0.016140351
## [1111] 0.029824561 0.081250000 0.047074074 0.011337868 0.036549708 0.022024757
## [1117] 0.042222222 0.029259259 0.010452962 0.012789661 0.019404762 0.023059361
## [1123] 0.040977778 0.033469388 0.036936937 0.004818713 0.138461538 0.033646617
## [1129] 0.007901699 0.073696145 0.001715686 0.026416667 0.016885965 0.019927536
## [1135] 0.018513906 0.006649462 0.043434343 0.072000000 0.005896806 0.013141026
## [1141] 0.058666667 0.084722222 0.007619048 0.100877193 0.041156463 0.034791667
## [1147] 0.014389234 0.038571429 0.102285714 0.037634409 0.010741385 0.067857143
## [1153] 0.014707510 0.002298851 0.063333333 0.033012821 0.051428571 0.063947520
## [1159] 0.025305250 0.016296296 0.011627907 0.071111111 0.057878788 0.013814416
## [1165] 0.014672365 0.013416263 0.011871220 0.040625000 0.016888889 0.010935374
## [1171] 0.027309942 0.119473684 0.084000000 0.015013618 0.003974359 0.014967419
## [1177] 0.047238095 0.021388889 0.023535354 0.019875776 0.049396552 0.004809853
## [1183] 0.005855856 0.042647059 0.002734559 0.012763533 0.035072464 0.072240260
## [1189] 0.015536723 0.006428571 0.017267081 0.001250000 0.030555556 0.011954023
## [1195] 0.019298246 0.039989226 0.055225225 0.087407407 0.011827957 0.006327684
## [1201] 0.032291667 0.102083333 0.021833333 0.059047619 0.033523810 0.040659551
## [1207] 0.022874780 0.019148936 0.026829268 0.013157895 0.013690476 0.027288961
## [1213] 0.037435897 0.188888889 0.007218823 0.015970880 0.013846154 0.032583774
## [1219] 0.046060606 0.029535519 0.033870968 0.036830357 0.040310120 0.070138889
## [1225] 0.052840909 0.003030303 0.017232253 0.002325581 0.029877803 0.011333333
## [1231] 0.016825397 0.051999065 0.075277778 0.008666667 0.028645833 0.013849519
## [1237] 0.001915584 0.018061840 0.004005848 0.048765432 0.054710145 0.019399025
## [1243] 0.026830934 0.015128205 0.015244789 0.105555556 0.019960276 0.001273148
## [1249] 0.015686275 0.029405769 0.015306122 0.027420635 0.000409836 0.044962458
## [1255] 0.006678351 0.001851852 0.016163522 0.010985222 0.020286738 0.005632184
## [1261] 0.021904762 0.017682257 0.027146119 0.006172840 0.010454545 0.029239766
## [1267] 0.062962963 0.070490196 0.014808078 0.017142857 0.044312169 0.017959184
## [1273] 0.019480519 0.026281080 0.017931489 0.017500000 0.034077383 0.011685393
## [1279] 0.071296296 0.021951220 0.114814815 0.008376076 0.011870845 0.053636364
## [1285] 0.102717391 0.007715618 0.013809524 0.016684020 0.020779221 0.025161290
## [1291] 0.041198413 0.009929078 0.066190476 0.092857143 0.044642857 0.027727273
## [1297] 0.015855776 0.009950860 0.051515152 0.064680923 0.037647059 0.012156298
## [1303] 0.011688312 0.030060764 0.009302326 0.017619048 0.059393939 0.007962529
## [1309] 0.009315376 0.059220779 0.005815392 0.019322034 0.039283154 0.012068881
## [1315] 0.003714286 0.009126984 0.022949495 0.018348148 0.050862069 0.073913043
## [1321] 0.037777778 0.039726776 0.022376543 0.016624762 0.026035354 0.034090909
## [1327] 0.027111111 0.051225490 0.013068182 0.039029125 0.052076023 0.006521739
## [1333] 0.020993117 0.007815830 0.013274933 0.086666667 0.011794872 0.007668207
## [1339] 0.013075397 0.019546851 0.047395833 0.022549176 0.054358974 0.030434783
## [1345] 0.044223485 0.030060022 0.068170426 0.009657738 0.011750000 0.029000000
## [1351] 0.008595388 0.050303030 0.041538462 0.007269504 0.038816034 0.068750000
## [1357] 0.100510511 0.068285714 0.019576720 0.051333333 0.035057471 0.015506059
## [1363] 0.011965812 0.019207792 0.065873016 0.025355418 0.005750251 0.058000000
## [1369] 0.055319149 0.025757576 0.016973138 0.003466667 0.019623016 0.035119048
## [1375] 0.004756098 0.020275689 0.009019608 0.028765432 0.028260870 0.007306262
## [1381] 0.014944594 0.030392157 0.072549020 0.004500000 0.045679012 0.003506944
## [1387] 0.022124542 0.023728814 0.091555556 0.020192308 0.108333333 0.071264368
## [1393] 0.007571185 0.069333333 0.090909091 0.008659512 0.084615385 0.034117647
## [1399] 0.052525253 0.035555556 0.065148810 0.029411765 0.025536616 0.037962963
## [1405] 0.046190476 0.006000000 0.051215278 0.027327327 0.020120574 0.001680672
## [1411] 0.047660099 0.148917749 0.092142857 0.019605911 0.027407407 0.031250162
## [1417] 0.022868217 0.026060606 0.001904762 0.024542230 0.044749710 0.018421053
## [1423] 0.067647059 0.029549127 0.013076923 0.068253968 0.007277211 0.036309524
## [1429] 0.002105263 0.058222222 0.121212121 0.013768116 0.080769231 0.003278689
## [1435] 0.011984127 0.051764706 0.009756098 0.016744186 0.024698413 0.014022989
## [1441] 0.029591837 0.009603919 0.031075269 0.070238095 0.025141243 0.007674572
## [1447] 0.011326165 0.066233766 0.043948052 0.033742690 0.045170068 0.029230769
## [1453] 0.046262626 0.023117504 0.015053763 0.107142857 0.018859649 0.057619048
## [1459] 0.121428571 0.021263103 0.036274510 0.038958835 0.019066142 0.007881773
## [1465] 0.012291667 0.005893497 0.068115942 0.109523810 0.010752688 0.011118588
## [1471] 0.042083333 0.026938057 0.180000000 0.020652174 0.017482517 0.004266667
## [1477] 0.013428813 0.013931624 0.030226481 0.038405797 0.038333333 0.011320755
## [1483] 0.022025900 0.059095640 0.015649351 0.005858586 0.154761905 0.001234568
## [1489] 0.025308642 0.045438596 0.022295918 0.001470588 0.039814815 0.041898148
## [1495] 0.022947455 0.045198413 0.028576998 0.005789474 0.183333333 0.030172414
## [1501] 0.019159146 0.076470588 0.034935897 0.018798094 0.025918367 0.005026455
## [1507] 0.031388889 0.008746356 0.063214286 0.016722783 0.039042146 0.025444444
## [1513] 0.030146368 0.041944444 0.030795428 0.069892473 0.046875000 0.033760684
## [1519] 0.024751180 0.006976744 0.011470588 0.016080586 0.012246300 0.019247312
## [1525] 0.078571429 0.007758621 0.029074729 0.026415094 0.006415344 0.015775776
## [1531] 0.018068783 0.021451247 0.016621682 0.029851908 0.015404896 0.097777778
## [1537] 0.035239899 0.009577934 0.039560440 0.006382979 0.052000000 0.024214286
## [1543] 0.007666667 0.040833333 0.020140056 0.074285714 0.008090118 0.018390805
## [1549] 0.123809524 0.001111111 0.011494253 0.045684431 0.021929825 0.069444444
## [1555] 0.021247740 0.044736842 0.009572650 0.020724638 0.010061728 0.008912530
## [1561] 0.013968254 0.036974790 0.087878788 0.021290850 0.008196721 0.052777778
## [1567] 0.050940171 0.017250000 0.014117647 0.022696032 0.039506173 0.019444444
## [1573] 0.032692308 0.086538462 0.032638889 0.034210526 0.034920635 0.034583333
## [1579] 0.025423729 0.017705157 0.012903226 0.042000000 0.013546798 0.033915963
## [1585] 0.001704261 0.008823529 0.011312741 0.020312500 0.010230908 0.035087719
## [1591] 0.063888889 0.090476190 0.022173913 0.014476190 0.010884354 0.022102102
## [1597] 0.034151181 0.007801418 0.040441176 0.008600444 0.014626073 0.025793651
## [1603] 0.006407828 0.050877193 0.033227513 0.085416667 0.038194444 0.031932773
## [1609] 0.007017544 0.054930556 0.029643028 0.060344828 0.019142857 0.002173913
## [1615] 0.023593750 0.005452381 0.068055556 0.012918871 0.043870968 0.015972222
## [1621] 0.020381594 0.018140590 0.192307692 0.023297491 0.019756839 0.015151515
## [1627] 0.034154351 0.019263449 0.028298931 0.020659075 0.003492063 0.013383838
## [1633] 0.030213239 0.044117647 0.019555556 0.034000000 0.024166667 0.018461538
## [1639] 0.014673582 0.024747475 0.023180828 0.014871795 0.010056926 0.016427739
## [1645] 0.016444444 0.034338624 0.032173913 0.010869841 0.026619133 0.008837606
## [1651] 0.020052948 0.012765957 0.023074581 0.012307692 0.013341952 0.043307169
## [1657] 0.064000000 0.030865335 0.026587302 0.032765957 0.038918919 0.016642012
## [1663] 0.045192308 0.004347826 0.115789474 0.051190476 0.011662763 0.009109731
## [1669] 0.021288981 0.045986395 0.010732401 0.024285714 0.079573935 0.013153595
## [1675] 0.032017551 0.007272727 0.032132434 0.028888889 0.074000000 0.018707483
## [1681] 0.022377452 0.015135135 0.015180847 0.007539683 0.023522862 0.018193939
## [1687] 0.023492063 0.002898551 0.097619048 0.121568627 0.028508772 0.016394300
## [1693] 0.030621469 0.022907353 0.038802798 0.001158605 0.019682540 0.003216374
## [1699] 0.038277778 0.018264209 0.023480903 0.077192982 0.080437158 0.020105820
## [1705] 0.001169591 0.027681159 0.017133956 0.030341880 0.042694343 0.078431373
## [1711] 0.034586466 0.005729167 0.015714286 0.051282051 0.023232323 0.030510511
## [1717] 0.012244898 0.018048780 0.039074074 0.009733401 0.024666667 0.018087558
## [1723] 0.017809524 0.069736842 0.043386243 0.042105263 0.067323481 0.045365079
## [1729] 0.021846847 0.035937500 0.051538462 0.026383333 0.018742138 0.028330849
## [1735] 0.026086957 0.008024691 0.024548440 0.017346939 0.038292564 0.017096460
## [1741] 0.033717640 0.020740741 0.035693651 0.006584897 0.083730159 0.013178295
## [1747] 0.077843137 0.008461558 0.010310363 0.016052227 0.019676875 0.026500000
## [1753] 0.078938839 0.028371212 0.028376068 0.017027417 0.004353234 0.046264368
## [1759] 0.007885305 0.071645022 0.008727273 0.031113658 0.008035714 0.021153846
## [1765] 0.022514620 0.024642375 0.005185185 0.011488014 0.031746032 0.033064516
## [1771] 0.001923077 0.025141026 0.023148148 0.012631579 0.028059163 0.029227053
## [1777] 0.022611111 0.042121212 0.014074074 0.039827675 0.021383053 0.011134752
## [1783] 0.014912281 0.039824561 0.171428571 0.043939394 0.022134495 0.017857143
## [1789] 0.020454545 0.021690178 0.111764706 0.011497494 0.001388889 0.024603175
## [1795] 0.003296703 0.036774359 0.047740113 0.010385835 0.001081081 0.010139398
## [1801] 0.033122363 0.038541667 0.021453423 0.112903226 0.106206897 0.010098420
## [1807] 0.029112554 0.011252929 0.013672300 0.014203612 0.023157895 0.019696970
## [1813] 0.028052083 0.101042228 0.023763441 0.027790788 0.013739852 0.014390244
## [1819] 0.036607143 0.031730769 0.003632479 0.024416667 0.021312784 0.022177156
## [1825] 0.048622222 0.025634921 0.042922078 0.039361702 0.004747475 0.001282051
## [1831] 0.034895833 0.030083333 0.026731602 0.029487179 0.019786325 0.017351598
## [1837] 0.067530864 0.015432099 0.094444444 0.011728395 0.060877193 0.027115142
## [1843] 0.032738095 0.019559500 0.037130178 0.005379499 0.023773007 0.008064516
## [1849] 0.008484848 0.046071429 0.020880682 0.052318841 0.010691824 0.106000000
## [1855] 0.012318841 0.020329446 0.010682540 0.049230769 0.024380952 0.015789474
## [1861] 0.011078431 0.097142857 0.013089192 0.095402299 0.029964539 0.025787879
## [1867] 0.050606061 0.008163265 0.090322581 0.047560976 0.014619883 0.034482887
## [1873] 0.037838384 0.010233918 0.038133333 0.044501535 0.016458333 0.042207792
## [1879] 0.006862745 0.088461538 0.048412698 0.001600000 0.040017253 0.025810811
## [1885] 0.059259259 0.028787879 0.055604396 0.032986111 0.035238095 0.030238095
## [1891] 0.006504065 0.040147783 0.017283951 0.029541047 0.022481685 0.015263169
## [1897] 0.096666667 0.020148148 0.009851670 0.013347763 0.010481956 0.014426543
## [1903] 0.031182796 0.059895833 0.025088095 0.055504202 0.000555556 0.027027027
## [1909] 0.007830405 0.015161650 0.024839744 0.041777778 0.015583850 0.009761905
## [1915] 0.052380952 0.023982684 0.048188406 0.041356389 0.020772947 0.013131313
## [1921] 0.033988025 0.018055556 0.044927536 0.021000000 0.031679160 0.014267214
## [1927] 0.011431235 0.055127258 0.002352941 0.005252101 0.019057903 0.000292398
## [1933] 0.071018519 0.013793271 0.009743590 0.032461962 0.007668232 0.042941176
## [1939] 0.039475088 0.064285714 0.021138211 0.024863655 0.019379845 0.023361582
## [1945] 0.018777882 0.054460641 0.016287879 0.014102564 0.016231884 0.036149660
## [1951] 0.092083333 0.025876068 0.090666667 0.023550725 0.015762787 0.041201814
## [1957] 0.042323232 0.008735669 0.036678391 0.028272059 0.048194444 0.036472303
## [1963] 0.009937888 0.047183099 0.006150794 0.087179487 0.003954802 0.025517241
## [1969] 0.000263158 0.013478622 0.024019608 0.005813953 0.041369048 0.006349206
## [1975] 0.036190476 0.021727273 0.014344857 0.015431438 0.008824665 0.054736842
## [1981] 0.022368421 0.020182874 0.060606061 0.088333333 0.007317073 0.021992481
## [1987] 0.051578947 0.007297297 0.036956522 0.006190476 0.048014184 0.015691057
## [1993] 0.012783365 0.051268674 0.029500000 0.012698413 0.004255319 0.011562500
## [1999] 0.021816239 0.015787285 0.010302067 0.014534161 0.021621622 0.041142857
## [2005] 0.158333333 0.059661836 0.026417863 0.031764706 0.011038961 0.004065041
## [2011] 0.022463768 0.011363636 0.001785714 0.016153274 0.014772727 0.034666667
## [2017] 0.020506536 0.009591837 0.024884615 0.028461538 0.042023810 0.031811847
## [2023] 0.032758621 0.042651515 0.047575758 0.042666667 0.001626016 0.005098039
## [2029] 0.040350877 0.051929825 0.086363636 0.055882353 0.010945092 0.045562130
## [2035] 0.057518519 0.020625000 0.009867424 0.016721311 0.033950617 0.049475963
## [2041] 0.016930138 0.027164502 0.024867725 0.009827586 0.034482759 0.031513142
## [2047] 0.031399948 0.048529412 0.024931582 0.043864469 0.004419192 0.028338002
## [2053] 0.052154195 0.043815476 0.000833333 0.054000000 0.013726336 0.026274510
## [2059] 0.001428571 0.048227559 0.048717949 0.021055381 0.014782609 0.012162162
## [2065] 0.035500000 0.025396825 0.048000000 0.027572016 0.006321839 0.012361111
## [2071] 0.025362319 0.131944444 0.016921296 0.011363949 0.054586466 0.009553204
## [2077] 0.037793427 0.087037037 0.009848485 0.010909616 0.023288614 0.031725417
## [2083] 0.036111111 0.020305773 0.116000000 0.021952663 0.007471264 0.028666667
## [2089] 0.047901224 0.062580645 0.011534392 0.022807018 0.019565217 0.017803379
## [2095] 0.020416667 0.006593407 0.032988166 0.031081081 0.007936508 0.000000000
## [2101] 0.004385965 0.005932203 0.035488428 0.016161616 0.012248677 0.016605750
## [2107] 0.038235294 0.033623455 0.043243243 0.059313725 0.037179487 0.034065934
## [2113] 0.085396825 0.011555556 0.009471471 0.012314449 0.075814536 0.040370370
## [2119] 0.003594771 0.004861111 0.002998087 0.019327731 0.009469697 0.030864198
## [2125] 0.029349567 0.046464646 0.017561939 0.011659808 0.008309991 0.006785714
## [2131] 0.034865900 0.002547045 0.014731380 0.016960486 0.010833333 0.027103099
## [2137] 0.026098901 0.010539084 0.002106490 0.019375648 0.030138889 0.003864734
## [2143] 0.023958333 0.101666667 0.013972431 0.013881932 0.023212197 0.039006410
## [2149] 0.022732152 0.024292237 0.014444444 0.101587302 0.118750000 0.096296296
## [2155] 0.064912281 0.020243418 0.008978355 0.043830926 0.014537746 0.010555556
## [2161] 0.044507576 0.052857143 0.038209170 0.023684211 0.038169990 0.021551724
## [2167] 0.068923933 0.030612404 0.015856149 0.029620035 0.061650605 0.046846847
## [2173] 0.012576313 0.005022447 0.001408451 0.067624521 0.103703704 0.009183673
## [2179] 0.062901280 0.057159570 0.018285714 0.036723457 0.000696864 0.016521739
## [2185] 0.020921986 0.019886364 0.066158871 0.026754386 0.038809156 0.013617886
## [2191] 0.020187793 0.009333333 0.018594104 0.029844961 0.028709742 0.009230769
## [2197] 0.011752445 0.042322417 0.061364567 0.030123457 0.033142857 0.027179487
## [2203] 0.011684359 0.037057104 0.043527508 0.023655914 0.009549550 0.090123457
## [2209] 0.041398682 0.021707552 0.013366013 0.017574237 0.024107744 0.036855346
## [2215] 0.004393939 0.036908939 0.014267677 0.038623482 0.016935484 0.021345899
## [2221] 0.013028631 0.051162791 0.054759418 0.038709677 0.181818182 0.054839161
## [2227] 0.002090109 0.011342593 0.025758194 0.020883534 0.029333333 0.127272727
## [2233] 0.034273974 0.019638695 0.004244028 0.072395833 0.036904762 0.035247209
## [2239] 0.019412202 0.026687598 0.073225108 0.024378882 0.013095238 0.024705882
## [2245] 0.005625881 0.020788530 0.056818182 0.007291667 0.010990991 0.027002924
## [2251] 0.004910714 0.032183908 0.045071685 0.029829932 0.042750000 0.007916667
## [2257] 0.024324324 0.006805318 0.011635537 0.025454545 0.019059741 0.058447712
## [2263] 0.027991453 0.043785311 0.159523810 0.003763441 0.012865853 0.025421300
## [2269] 0.039000000 0.140833333 0.051851852 0.006111111 0.012497612 0.003694084
## [2275] 0.082807018 0.042311111 0.029967788 0.049669967 0.027155449 0.009068627
## [2281] 0.056333333 0.010638298 0.028830409 0.048235852 0.023720930 0.000250438
## [2287] 0.071855922 0.009490509 0.131578947 0.015583028 0.028431373 0.007070707
## [2293] 0.010437463 0.016216216 0.020606061 0.019206774 0.022587818 0.012357724
## [2299] 0.017894737 0.009316323 0.022925170 0.027642276 0.034331797 0.067000000
## [2305] 0.031794872 0.034166667 0.018928571 0.104545455 0.072469136 0.025997611
## [2311] 0.094482759 0.010049751 0.026857143 0.016237507 0.015724311 0.031153846
## [2317] 0.090697674 0.010699588 0.027253521 0.020295983 0.022988506 0.011568387
## [2323] 0.011841507 0.041315789 0.018620690 0.017985395 0.021901262 0.067517007
## [2329] 0.018253968 0.016207530 0.004285714 0.017558450 0.082500000 0.009824561
## [2335] 0.038518519 0.008471594 0.021614907 0.084819820 0.076388889 0.038980418
## [2341] 0.008974359 0.037472815 0.066033333 0.051351351 0.023484848 0.013128205
## [2347] 0.055466667 0.035895135 0.045245820 0.009313725 0.014215686 0.028191489
## [2353] 0.012414294 0.040540541 0.009442743 0.032424242 0.022413793 0.024838095
## [2359] 0.002702703 0.016547619 0.026093190 0.013779093 0.022131145 0.057823129
## [2365] 0.033928571 0.009762498 0.049565217 0.022545455 0.068650794 0.063690476
## [2371] 0.016180556 0.042576205 0.012037037 0.010852713 0.014264550 0.033826531
## [2377] 0.131891892 0.022685185 0.011281179 0.026970540 0.024333333 0.000952381
## [2383] 0.011248517 0.038596491 0.019359924 0.026197917 0.036530714 0.049595687
## [2389] 0.012601626 0.006432173 0.024404762 0.011403509 0.039285714 0.035833333
## [2395] 0.031621722 0.044005026 0.009314954 0.072399527 0.007459475 0.029287373
## [2401] 0.047324629 0.027476190 0.018933333 0.025196078 0.027298851 0.011382114
## [2407] 0.044637681 0.033524993 0.145833333 0.062000000 0.005952381 0.019064327
## [2413] 0.009714286 0.053287037 0.016561375 0.039062500 0.004421769 0.021755245
## [2419] 0.064367816 0.017187500 0.011846847 0.009265038 0.054395604 0.020793651
## [2425] 0.013368848 0.034042553 0.011750149 0.012385965 0.021979167 0.103333333
## [2431] 0.012539087 0.018209889 0.014754098 0.009316239 0.019698317 0.016071429
## [2437] 0.003947368 0.050688705 0.049000000 0.004514952 0.005376344 0.142424242
## [2443] 0.027247449 0.016279070 0.068803030 0.007751938 0.019613005 0.009231412
## [2449] 0.108558559 0.050155633 0.029986961 0.006473478 0.027916667 0.035442177
## [2455] 0.054407935 0.056172840 0.091604938 0.018196857 0.018814290 0.038472222
## [2461] 0.035463270 0.009352180 0.034027778 0.046969697 0.010133221 0.015058480
## [2467] 0.013518007 0.084444444 0.041166667 0.015591398 0.043478261 0.017638889
## [2473] 0.039900794 0.002870370 0.056481481 0.015646259 0.014018978 0.013743735
## [2479] 0.003741497 0.017363636 0.030675226 0.045161290 0.007042254 0.021333333
## [2485] 0.025860732 0.013784185 0.013240553 0.018695652 0.024611656 0.006020558
## [2491] 0.035620915 0.020425941 0.010281148 0.018312757 0.001197045 0.003964551
## [2497] 0.032048254 0.043050847 0.010606061 0.092982456 0.008800253 0.034661180
## [2503] 0.024809390 0.015563298 0.008214286 0.020467836 0.040384615 0.057723577
## [2509] 0.023125000 0.036825949 0.024948268 0.007605389 0.037964727 0.078125000
## [2515] 0.049224806 0.069230769 0.067619048 0.016691039 0.041441441 0.048201119
## [2521] 0.011671335 0.017272727 0.056528671 0.060370370 0.023036223 0.019820920
## [2527] 0.090962963 0.028901336 0.008789401 0.004119850 0.018863427 0.006944444
## [2533] 0.005194805 0.046893939 0.020385840 0.034484127 0.029890710 0.079629630
## [2539] 0.002000000 0.065408200 0.037207792 0.072659574 0.014920635 0.033766459
## [2545] 0.005588342 0.014184397 0.021224490 0.002849003 0.027056277 0.086904762
## [2551] 0.009090249 0.013527508 0.007729114 0.048115942 0.009511278 0.009122010
## [2557] 0.014078014 0.067397661 0.011878788 0.013719827 0.039365079 0.011842105
## [2563] 0.041304348 0.026377261 0.043198653 0.037389344 0.001928521 0.020570175
## [2569] 0.017041847 0.048583043 0.016226074 0.128275862 0.045751634 0.034416667
## [2575] 0.042708333 0.007866316 0.012547206 0.036336088 0.022012579 0.036803966
## [2581] 0.037698413 0.022771363 0.010419753 0.075925926 0.012860238 0.031851593
## [2587] 0.030296143 0.021318681 0.022246642 0.086991870 0.028013468 0.028456454
## [2593] 0.011948854 0.007887882 0.064516129 0.057235450 0.129580026 0.005527012
## [2599] 0.092156863 0.003468013 0.037290510 0.037209302 0.036944444 0.019607843
## [2605] 0.009653998 0.032261103 0.009705882 0.017287582 0.029699248 0.042471564
## [2611] 0.018636364 0.047858483 0.009959744 0.058412698 0.031102504 0.039333333
## [2617] 0.018043478 0.050691712 0.084375000 0.019800052 0.008641975 0.016896552
## [2623] 0.003837261 0.011274510 0.012040588 0.001212121 0.003240964 0.018939394
## [2629] 0.020412311 0.023015892 0.043745174 0.002614379 0.008679315 0.025016422
## [2635] 0.021505376 0.017091837 0.011027644 0.029102564 0.012088889 0.059221273
## [2641] 0.030104167 0.038705882 0.016333333 0.025520833 0.014062500 0.032253521
## [2647] 0.023589744 0.029589443 0.078787879 0.022538246 0.003125000 0.022337803
## [2653] 0.015870587 0.005699436 0.018527590 0.037301587 0.002409670 0.023856289
## [2659] 0.025837468 0.032987654 0.037802052 0.018380231 0.015238095 0.008400000
## [2665] 0.004061303 0.032705748 0.022197723 0.027551020 0.032956586 0.006917563
## [2671] 0.025614035 0.071984127 0.047380485 0.007912088 0.052245370 0.083095238
## [2677] 0.007997558 0.025771658 0.030868963 0.022135467 0.063095238 0.090090090
## [2683] 0.030927052 0.035701754 0.017573302 0.018670927 0.012017544 0.017657266
## [2689] 0.054954955 0.018333333 0.062012012 0.020091324 0.046376812 0.016833856
## [2695] 0.013361447 0.030246914 0.028165804 0.037080939 0.016949586 0.081481481
## [2701] 0.000732601 0.012523310 0.037931034 0.009600000 0.022395833 0.025442703
## [2707] 0.018947368 0.030687831 0.004094211 0.019472789 0.041609195 0.046632997
## [2713] 0.013391698 0.010992908 0.039473684 0.028962492 0.035925926 0.030303030
## [2719] 0.080246914 0.061688596 0.024035088 0.018561297 0.026328773 0.036488095
## [2725] 0.023197087 0.013978495 0.059913420 0.050793651 0.022653941 0.024303938
## [2731] 0.119230769 0.026747720 0.031428571 0.065367965 0.018119658 0.007058824
## [2737] 0.006700972 0.052845528 0.024522672 0.011461095 0.014175592 0.069642857
## [2743] 0.013380282 0.080612245 0.008886586 0.059848485 0.017521368 0.020887446
## [2749] 0.002845528 0.029938272 0.011448413 0.006400000 0.017857460 0.012351425
## [2755] 0.094117647 0.016363636 0.027868852 0.041935484 0.092658730 0.031306306
## [2761] 0.008355899 0.030448718 0.036036036 0.103030303 0.039393939 0.022648084
## [2767] 0.056017316 0.061313776 0.022380952 0.008565782 0.019107143 0.013675214
## [2773] 0.033907028 0.014728682 0.039979296 0.003014129 0.012613585 0.002821869
## [2779] 0.039077841 0.018114342 0.036382031 0.048958333 0.015641026 0.051666667
## [2785] 0.011944444 0.037398374 0.007295031 0.015186147 0.060270563 0.051612903
## [2791] 0.049722222 0.053623188 0.016095238 0.027316655 0.019859307 0.009803922
## [2797] 0.066228070 0.001379310 0.041643072 0.034691241 0.009734513 0.028639403
## [2803] 0.038231522 0.067142857 0.025287479 0.025371224 0.037356322 0.027846816
## [2809] 0.037014927 0.001515152 0.007674419 0.006274510 0.011607143 0.024257028
## [2815] 0.011184211 0.005208333 0.000262123 0.023551165 0.017719298 0.052674897
## [2821] 0.020390720 0.079310345 0.010470085 0.028717949 0.024507322 0.028024691
## [2827] 0.022634921 0.055342466 0.028728531 0.024959839 0.032991453 0.014202682
## [2833] 0.005833333 0.027647059 0.019726027 0.030371661 0.001298701 0.022982896
## [2839] 0.006712329 0.030380952 0.004062500 0.015517241 0.041100372 0.030388889
## [2845] 0.074444444 0.029171530 0.020989011 0.026262626 0.069982363 0.039316239
## [2851] 0.009737828 0.017602339 0.022713675 0.180341880 0.023696145 0.029523810
## [2857] 0.047826279 0.028542569 0.079518398 0.039945665 0.024205607 0.028818890
## [2863] 0.010238095 0.032223645 0.059166667 0.014936612 0.091304348 0.011934156
## [2869] 0.007335491 0.004891304 0.029296378 0.039354839 0.070670996 0.017407407
## [2875] 0.048357964 0.054761905 0.013697479 0.015283019 0.029265480 0.005868545
## [2881] 0.002786596 0.008515815 0.027506986 0.030748538 0.011631206 0.023262411
## [2887] 0.023750000 0.002724518 0.019152047 0.020562771 0.008627451 0.060539216
## [2893] 0.029696970 0.023911007 0.032482778 0.014313725 0.035602227 0.047826087
## [2899] 0.060754717 0.045526366 0.008766234 0.065925926 0.057575758 0.030232558
## [2905] 0.024774775 0.007168210 0.031587556 0.081375661 0.084210526 0.035185185
## [2911] 0.008860759 0.033456790 0.012467279 0.052507716 0.044680851 0.037925926
## [2917] 0.057936508 0.015099715 0.066119363 0.029032258 0.009629630 0.039130435
## [2923] 0.025904762 0.001020408 0.010578704 0.055782313 0.020615520 0.079761905
## [2929] 0.004938272 0.009682540 0.031076389 0.025420875 0.008667383 0.042342342
## [2935] 0.016407828 0.028784722 0.041056911 0.055833333 0.020010830 0.009047619
## [2941] 0.064351852 0.013297101 0.004205128 0.008176477 0.011960784 0.012195122
## [2947] 0.080562169 0.004062416 0.010763889 0.004844961 0.016427015 0.038192738
## [2953] 0.041246499 0.013110506 0.012188596 0.032954545 0.017721519 0.027954545
## [2959] 0.028162393 0.052020202 0.028395062 0.012113703 0.005708347 0.060377860
## [2965] 0.004625745 0.010717178 0.022357724 0.046808511 0.003773585 0.027062016
## [2971] 0.025972222 0.022043153 0.034950263 0.014259607 0.066783217 0.007511050
## [2977] 0.046505418 0.016369048 0.011853002 0.017615176 0.068000000 0.019527027
## [2983] 0.043809524 0.023754789 0.002833333 0.006024096 0.004892966 0.062352941
## [2989] 0.035146520 0.021391443 0.069414101 0.014529915 0.027908497 0.007819795
## [2995] 0.002839575 0.005633803 0.087060755 0.047628205 0.052333333 0.038075929
## [3001] 0.029645043 0.125714286 0.025021645 0.016214742 0.020793071 0.011516854
## [3007] 0.004365079 0.059615385 0.006015038 0.017000000 0.005330144 0.003588517
## [3013] 0.018452381 0.021380952 0.013069803 0.050194250 0.009414895 0.030526316
## [3019] 0.062187040 0.032872807 0.143589744 0.042026749 0.076666667 0.036709957
## [3025] 0.026449275 0.015934735 0.015548371 0.111538462 0.029545455 0.070737742
## [3031] 0.026598639 0.035882353 0.005494505 0.017129630 0.054444444 0.013725490
## [3037] 0.009218133 0.017357610 0.016434109 0.026482993 0.062857143 0.013580247
## [3043] 0.035377102 0.040909091 0.023942797 0.031489963 0.000480769 0.010268970
## [3049] 0.004878049 0.019882747 0.057894737 0.052175571 0.032500000 0.014961420
## [3055] 0.043990930 0.028099523 0.030370370 0.041212121 0.035139573 0.042981030
## [3061] 0.013461742 0.050387597 0.003819310 0.005364455 0.020257937 0.024215686
## [3067] 0.028987132 0.010967742 0.027000000 0.022569444 0.015460019 0.122427035
## [3073] 0.019939881 0.010937500 0.031102029 0.073976608 0.007733333 0.034509804
## [3079] 0.017015392 0.051166667 0.033243423 0.015483092 0.039487179 0.031564383
## [3085] 0.013603668 0.018958333 0.047474747 0.070476190 0.022870370 0.013730159
## [3091] 0.045165945 0.014304381 0.015229885 0.043697479 0.093809524 0.010463332
## [3097] 0.023928571 0.012727273 0.035396825 0.000446429 0.016913178 0.018162523
## [3103] 0.018752216 0.015750591 0.009387755 0.009501385 0.032370528 0.022839506
## [3109] 0.011878229 0.008792271 0.027701340 0.012282691 0.038977353 0.054230769
## [3115] 0.023832104 0.011481481 0.031677489 0.019155126 0.015764630 0.017657920
## [3121] 0.013207547 0.130952381 0.017425336 0.051919272 0.093478261 0.011277952
## [3127] 0.025340136 0.008145970 0.021302211 0.014633794 0.015025253 0.023561816
## [3133] 0.020146520 0.017948718 0.043686869 0.014489415 0.011646771 0.064935065
## [3139] 0.027326203 0.018657031 0.048666667 0.138888889 0.020009620 0.046198341
## [3145] 0.005925926 0.009625560 0.024589744 0.018670099 0.021575342 0.039761905
## [3151] 0.008080808 0.036603499 0.012515263 0.033529412 0.007018826 0.022333333
## [3157] 0.021935484 0.054225865 0.035619048 0.016381120 0.036664764 0.018170426
## [3163] 0.019292929 0.018326694 0.000913242 0.014694280 0.008176101 0.035156250
## [3169] 0.042319508 0.018075125 0.040922619 0.010140622 0.054241071 0.015174871
## [3175] 0.037170572 0.068888889 0.016955684 0.017679325 0.031739553 0.009409219
## [3181] 0.008950617 0.031834215 0.022318841 0.025324675 0.004122807 0.013944826
## [3187] 0.028494624 0.026110286 0.010451453 0.020408163 0.012659622 0.028041380
## [3193] 0.015429820 0.015842941 0.027243522 0.014667832 0.023681592 0.021287825
## [3199] 0.051234568 0.032870370 0.010436508 0.017256944 0.033908935 0.019343434
## [3205] 0.009346937 0.028381703 0.012129630 0.004021164 0.013888889 0.010222222
## [3211] 0.008832272 0.012009804 0.025574713 0.020956372 0.029387755 0.000666667
## [3217] 0.062408964 0.009611111 0.010164456 0.014700375 0.016885589 0.023737786
## [3223] 0.012745098 0.044230769 0.045777778 0.023541667 0.029692564 0.037316087
## [3229] 0.014859438 0.004264323 0.020987654 0.003153153 0.026436782 0.029042386
## [3235] 0.013887559 0.026719577 0.000892857 0.023295455 0.022008376 0.089629630
## [3241] 0.013437840 0.014687275 0.022619048 0.031707317 0.014791667 0.031793785
## [3247] 0.008031496 0.003142857 0.028921569 0.026352357 0.022291010 0.013769082
## [3253] 0.015734957 0.021785714 0.015730379 0.017585825 0.009323308 0.009009009
## [3259] 0.048809524 0.007862680 0.019205066 0.028703704 0.043294931 0.008424908
## [3265] 0.137426901 0.008987603 0.013265306 0.021511083 0.028972694 0.030732714
## [3271] 0.018279570 0.013249672 0.021311846 0.012380952 0.022500170 0.022888335
## [3277] 0.015925926 0.005315315 0.016037736 0.025774660 0.042261905 0.013745704
## [3283] 0.027136752 0.044360501 0.024695767 0.053439153 0.015530303 0.038037998
## [3289] 0.030754266 0.055396825 0.011897444 0.010500000 0.014003044 0.015411986
## [3295] 0.016309524 0.017506361 0.023877069 0.039074960 0.010151043 0.013541667
## [3301] 0.020025438 0.011746032 0.042436975 0.015479685 0.030081301 0.026419753
## [3307] 0.022385989 0.050752688 0.020355466 0.041545910 0.018437701 0.063265306
## [3313] 0.003430424 0.015188129 0.004290709 0.022822804 0.011858974 0.042076023
## [3319] 0.021290740 0.019397993 0.010460069 0.018627451 0.042187500 0.032365500
## [3325] 0.013429932 0.024592960 0.060590278 0.007466851 0.009952433 0.041167134
## [3331] 0.014230973 0.041450216 0.027557013 0.008686559 0.013519938 0.016374269
## [3337] 0.021249277 0.020747988 0.028947368 0.027528909 0.019890110 0.083012821
## [3343] 0.027342550 0.005669849 0.012907801 0.016838538 0.025637791 0.010175439
## [3349] 0.026238576 0.057000000 0.011264368 0.013376623 0.015567766 0.042913165
## [3355] 0.014824296 0.024489796 0.022299824 0.019742908 0.015465400 0.019277493
## [3361] 0.034267293 0.018756793 0.027766386 0.017901235 0.058285714 0.039010989
## [3367] 0.019274564 0.028519936 0.007835821 0.071666667 0.022101449 0.028602151
## [3373] 0.037679739 0.054385965 0.020476218 0.027881156 0.011870748 0.027824074
## [3379] 0.026851852 0.043636364 0.020905923 0.020095694 0.008928355 0.027665354
## [3385] 0.047727273 0.032056738 0.003655914 0.016586922 0.022170543 0.027698413
## [3391] 0.063601190 0.019624670 0.019055556 0.024273772 0.077272727 0.101449275
## [3397] 0.008231293 0.075604396 0.014593571 0.032389468 0.011098010 0.005695387
## [3403] 0.059636655 0.000589971 0.019225201 0.009677419 0.029012346 0.031034483
## [3409] 0.058821329 0.022355057 0.017328726 0.032948718 0.025768619 0.008914729
## [3415] 0.005545073 0.008750000 0.012050716 0.017284446 0.020085470 0.016769542
## [3421] 0.025572609 0.010138889 0.019428571 0.020433155 0.014251208 0.053240741
## [3427] 0.015757576 0.011780384 0.023340336 0.017081105 0.024224806 0.014926307
## [3433] 0.015609868 0.022135148 0.025532176 0.001015625 0.012431818 0.029142563
## [3439] 0.031333333 0.022580645 0.046744236 0.057407407 0.022916667 0.014473684
## [3445] 0.040540739 0.009549977 0.013640873 0.066547107 0.011868860 0.030161290
## [3451] 0.025068027 0.028996212 0.032298600 0.021959459 0.024587384 0.034751773
## [3457] 0.020960781 0.014851055 0.030925926 0.014779942 0.022527689 0.023582766
## [3463] 0.030961792 0.020533333 0.051717172 0.024807692 0.009552573 0.014513583
## [3469] 0.014292461 0.016400421 0.014539683 0.023295607 0.007971014 0.015832106
## [3475] 0.031939605 0.043148148 0.024345679 0.024725635 0.075757576 0.032699169
## [3481] 0.014905149 0.013842593 0.024304152 0.016803503 0.028750000 0.012458392
## [3487] 0.004287290 0.019112158 0.012520167 0.014603175 0.000709220 0.026801619
## [3493] 0.015842912 0.013874153 0.024897119 0.018539498 0.010664683 0.026495726
## [3499] 0.024964539 0.013002525 0.024020297 0.029260777 0.012575758 0.032443035
## [3505] 0.020769697 0.124444444 0.027944444 0.016529882 0.053431066 0.020522711
## [3511] 0.037666667 0.011832634 0.021393867 0.019667423 0.069954545 0.003486395
## [3517] 0.052222222 0.019685462 0.009969093 0.043174603 0.090625000 0.033747213
## [3523] 0.010851064 0.020072361 0.019056732 0.027526998 0.025864237 0.020290360
## [3529] 0.020991254 0.039520717 0.025668172 0.023992674 0.061403509 0.015642808
## [3535] 0.028773585 0.013559322 0.010341365 0.012754534 0.052592593 0.022751323
## [3541] 0.014212018 0.010671296 0.046360153 0.015231111 0.041319444 0.006273946
## [3547] 0.025219763 0.018203638 0.012152531 0.039301175 0.025492063 0.024691358
## [3553] 0.062414966 0.019108884 0.018017058 0.018145897 0.016508400 0.009804129
## [3559] 0.026200717 0.017488397 0.007450980 0.050362319 0.017352092 0.050333333
## [3565] 0.013821138 0.018954248 0.057777778 0.015104167 0.017155355 0.009000000
## [3571] 0.021326007 0.026514442 0.032369194 0.007901235 0.028971160 0.005348989
## [3577] 0.035131628 0.016468484 0.015792367 0.015853659 0.023577236 0.012045455
## [3583] 0.013923077 0.015172414 0.030191572 0.021944444 0.014774057 0.044913928
## [3589] 0.038885400 0.018569755 0.015666667 0.030322581 0.048750000 0.045421245
## [3595] 0.050980392 0.007154088 0.008286252 0.011574074 0.030501264 0.032985131
## [3601] 0.017556729 0.042311136 0.007812500 0.021947073 0.018034188 0.022635468
## [3607] 0.034702381 0.015957265 0.013244048 0.015558960 0.034693878 0.024532828
## [3613] 0.006093190 0.019723130 0.021469506 0.006528045 0.014405743 0.027755102
## [3619] 0.023755148 0.037163121 0.029169274 0.013853727 0.041868132 0.021710569
## [3625] 0.005114363 0.022150056 0.038000000 0.025042424 0.010360360 0.025130309
## [3631] 0.031314735 0.004487179 0.035630252 0.015020196 0.021452975 0.019687687
## [3637] 0.035454545 0.040131579 0.024032278 0.048604651 0.021374201 0.019068861
## [3643] 0.018995891 0.030822511 0.057482993 0.008213489 0.009780702 0.026063126
## [3649] 0.018457454 0.023642242 0.009501916 0.010793651 0.011061947 0.009071038
## [3655] 0.011987179 0.030909091 0.020544218 0.018198198 0.005590278 0.009838710
## [3661] 0.056586058 0.024031008 0.010303030 0.028972728 0.023714286 0.043171115
## [3667] 0.027843137 0.015504136 0.041741742 0.023369348 0.008874272 0.027500000
## [3673] 0.025448823 0.016576479 0.028190306 0.019004516 0.010258137 0.017261259
## [3679] 0.016345046 0.012477354 0.008689192 0.034935835 0.019031516 0.025762987
## [3685] 0.019913420 0.045272727 0.039236111 0.031296296 0.039161584 0.018456829
## [3691] 0.032193939 0.024793388 0.023937057 0.027190827 0.039562226 0.022009804
## [3697] 0.015595238 0.013140097 0.025219349 0.020421866 0.019613095 0.018367347
## [3703] 0.007694004 0.014962157 0.004785636 0.041065574 0.018923933 0.005989942
## [3709] 0.034188034 0.019021966 0.029422330 0.009539422 0.015531015 0.015719446
## [3715] 0.018737892 0.009409888 0.024773663 0.022435897 0.029507982 0.019816374
## [3721] 0.013891039 0.012371615 0.022060248 0.027077656 0.030211039 0.033872603
## [3727] 0.013265367 0.007246377 0.017333333 0.023137121 0.104081633 0.071568627
## [3733] 0.024226190 0.022705971 0.029719534 0.026888889 0.024597953 0.026739194
## [3739] 0.023842532 0.011290323 0.029981326 0.014052288 0.044367816 0.013512907
## [3745] 0.002515723 0.022238793 0.017004257 0.007150715 0.014880952 0.019075614
## [3751] 0.017354497 0.084545455 0.031709957 0.013963964 0.020876741 0.012179841
## [3757] 0.017267562 0.019337607 0.034600000 0.005142857 0.026808161 0.019865374
## [3763] 0.053909774 0.012186396 0.027372411 0.019939049 0.027830688 0.003477932
## [3769] 0.022427035 0.019809524 0.020699598 0.009450172 0.028731343 0.029065112
## [3775] 0.014562569 0.003457557 0.025063352 0.011282051 0.008337205 0.028674678
## [3781] 0.029188713 0.037267081 0.008391881 0.017541022 0.033880952 0.020441870
## [3787] 0.018600000 0.022567288 0.005854801 0.008854167 0.038335618 0.030243902
## [3793] 0.074716553 0.028836460 0.044000000 0.059464286 0.021765601 0.036047340
## [3799] 0.011250000 0.051041667 0.038231293 0.017747748 0.019645460 0.004306345
## [3805] 0.019128308 0.010840336 0.016570513 0.018783069 0.010942460 0.021993464
## [3811] 0.025011905 0.038418079 0.028665325 0.021408935 0.000505051 0.021183788
## [3817] 0.010971792 0.013668745 0.027207207 0.018611111 0.019558305 0.022398206
## [3823] 0.020586081 0.015486639 0.023671498 0.059444444 0.022973065 0.013436693
## [3829] 0.031446886 0.015889736 0.020121639 0.015217391 0.023185941 0.029600000
## [3835] 0.030879354 0.024301656 0.014745252 0.092944664 0.021599020 0.014544651
## [3841] 0.067708333 0.021205728 0.014375562 0.003685897 0.015117319 0.020720721
## [3847] 0.011320346 0.019375000 0.016184197 0.062202381 0.022464739 0.023170732
## [3853] 0.023835616 0.031609195 0.006942149 0.014226044 0.011675429 0.030107527
## [3859] 0.007905605 0.030390424 0.033986814 0.032793149 0.026402848 0.005025126
## [3865] 0.021959184 0.013611111 0.016223404 0.008975428 0.014761905 0.015675676
## [3871] 0.016051967 0.011818182 0.039292517 0.015829187 0.029549858 0.032608696
## [3877] 0.031188811 0.017816092 0.021516165 0.010045837 0.028496768 0.038102106
## [3883] 0.011186186 0.032248996 0.025777778 0.015490196 0.018932412 0.034387947
## [3889] 0.009166667 0.061527778 0.016324111 0.092222222 0.021052657 0.011071429
## [3895] 0.028949580 0.010977778 0.007188359 0.019250380 0.011436389 0.003452381
## [3901] 0.025137085 0.023315309 0.005474910 0.017735849 0.017287492 0.020731707
## [3907] 0.012864250 0.010317460 0.016290123 0.027601411 0.016823320 0.023453364
## [3913] 0.037334126 0.038460744 0.027280668 0.012150434 0.026412307 0.024543027
## [3919] 0.023646000 0.033787661 0.008571429 0.098039216 0.027020202 0.019008442
## [3925] 0.017491169 0.006439185 0.024738632 0.023796204 0.025405405 0.015547416
## [3931] 0.039707071 0.053401361 0.024025157 0.019669670 0.018259847 0.017589264
## [3937] 0.019777778 0.011897547 0.037373737 0.032323232 0.044166667 0.009057596
## [3943] 0.017597513 0.001333333 0.025044663 0.018518854 0.020537634 0.029749907
## [3949] 0.014969192 0.028229665 0.022010916 0.036429937 0.022431060 0.030709877
## [3955] 0.010521398 0.062318841 0.023901833 0.017599068 0.021101928 0.005222734
## [3961] 0.039259259 0.011093074 0.033015873 0.015735853 0.005434783 0.017955889
## [3967] 0.020244755 0.028846154 0.014030074 0.011738458 0.009213483 0.026155811
## [3973] 0.022769886 0.014864865 0.043915344 0.034126984 0.104242424 0.023128655
## [3979] 0.019658120 0.012798697 0.062121212 0.021627971 0.009815547 0.011279570
## [3985] 0.034024526 0.010072239 0.027424242 0.014196078 0.024720163 0.033875153
## [3991] 0.010822511 0.007769424 0.020907736 0.023639456 0.017330846 0.025151515
## [3997] 0.036124031 0.027941176 0.020522573 0.053714286 0.034567901 0.014604028
## [4003] 0.032553517 0.007300316 0.029457364 0.018855633 0.047500000 0.016297591
## [4009] 0.004387373 0.075942002 0.020266667 0.022108499 0.043301833 0.007267442
## [4015] 0.029663609 0.064259259 0.009289617 0.029203072 0.047301587 0.015636704
## [4021] 0.023309001 0.016222222 0.022957516 0.014867424 0.007280349 0.056025641
## [4027] 0.010359477 0.023198706 0.029308735 0.053523810 0.012068966 0.003621070
## [4033] 0.036486486 0.023152976 0.005582418 0.014283416 0.005971036 0.012426564
## [4039] 0.003359173 0.019984285 0.014700317 0.013407291 0.027380952 0.005668016
## [4045] 0.044938272 0.011475964 0.039663918 0.021222361 0.051388889 0.014709835
## [4051] 0.006941639 0.023480257 0.003266621 0.017634750 0.033933258 0.015796946
## [4057] 0.013932981 0.031399417 0.017587302 0.021527778 0.025466200 0.031449275
## [4063] 0.057283951 0.004610177 0.015447154 0.007434641 0.014166667 0.031313131
## [4069] 0.044688645 0.036790123 0.013750000 0.016482015 0.020786749 0.014951401
## [4075] 0.012080406 0.013535432 0.021418440 0.020093774 0.039743590 0.025287356
## [4081] 0.015357143 0.020476926 0.045269841 0.020321470 0.004093567 0.017527555
## [4087] 0.045138889 0.018376068 0.017137357 0.005809793 0.019765654 0.055166667
## [4093] 0.005069124 0.027807876 0.026481990 0.018943089 0.021957672 0.082209406
## [4099] 0.026839827 0.025128205 0.017592593 0.018589744 0.020836197 0.009348691
## [4105] 0.000544218 0.019791667 0.031871345 0.023188406 0.007456140 0.019907407
## [4111] 0.008038828 0.019203175 0.012719298 0.020208333 0.018958927 0.005951258
## [4117] 0.075555556 0.020551802 0.020593939 0.008928986 0.032959184 0.012030075
## [4123] 0.012804878 0.020551320 0.018717242 0.005654762 0.028446662 0.014848485
## [4129] 0.026239965 0.015591693 0.027027580 0.022687466 0.016429608 0.018115942
## [4135] 0.013380361 0.017025608 0.008801049 0.011196593 0.046566820 0.019568765
## [4141] 0.012604407 0.008852259 0.015450311 0.035661897 0.037364341 0.037615417
## [4147] 0.017800000 0.023436807 0.046907359 0.026290598 0.033796296 0.006781609
## [4153] 0.009811828 0.019045831 0.062113617 0.028251029 0.017631698 0.027927974
## [4159] 0.014853801 0.012907268 0.015733333 0.009297190 0.026547619 0.062641723
## [4165] 0.022487296 0.008671329 0.006730769 0.061728395 0.015876540 0.029314358
## [4171] 0.021603376 0.030930013 0.016060606 0.017992979 0.047058824 0.015178571
## [4177] 0.030129179 0.019314057 0.060256410 0.012934783 0.027956989 0.033799534
## [4183] 0.015042735 0.026492375 0.033805229 0.039115224 0.022220854 0.034983766
## [4189] 0.012952381 0.028275862 0.032839506 0.038636364 0.002040816 0.026820988
## [4195] 0.014043584 0.017794258 0.022685492 0.006410256 0.013960708 0.036566293
## [4201] 0.039004329 0.047679739 0.019758242 0.010333333 0.014942529 0.018010753
## [4207] 0.015259259 0.030433925 0.020148947 0.035488294 0.045238095 0.013071895
## [4213] 0.007151775 0.027094017 0.012349829 0.032319508 0.012004543 0.016398799
## [4219] 0.010759765 0.027110844 0.007222222 0.046598240 0.027875244 0.076086957
## [4225] 0.044557823 0.023840580 0.012841597 0.025012117 0.017207792 0.022913324
## [4231] 0.008531746 0.026918020 0.017745098 0.005172414 0.015495489 0.044111040
## [4237] 0.035172414 0.017288630 0.012517824 0.012581699 0.022261905 0.143750000
## [4243] 0.012573099 0.021632395 0.029681426 0.017222222 0.043661654 0.016953816
## [4249] 0.012346041 0.011346726 0.012466437 0.019256933 0.031510604 0.007748918
## [4255] 0.021347061 0.013301282 0.048447205 0.018891527 0.022668819 0.018080480
## [4261] 0.032620545 0.011568627 0.009111111 0.015396825 0.024509804 0.014655172
## [4267] 0.016656739 0.057999382 0.017160494 0.025778523 0.054621849 0.007310889
## [4273] 0.019339623 0.121153846 0.008921569 0.014462070 0.009113578 0.015696203
## [4279] 0.011546722 0.043292683 0.014048347 0.031904762 0.041993382 0.018915344
## [4285] 0.040158730 0.007264957 0.072413793 0.017881096 0.024768116 0.012006861
## [4291] 0.032525253 0.023797619 0.080555556 0.088000000 0.024027460 0.019893450
## [4297] 0.013161376 0.007608395 0.017117117 0.019627539 0.023632241 0.034479167
## [4303] 0.046212121 0.012333333 0.032246377 0.014375000 0.019252583 0.012303523
## [4309] 0.032251082 0.015833333 0.028415080 0.012980504 0.018775510 0.061460507
## [4315] 0.025098039 0.032679739 0.006201550 0.036530612 0.037543860 0.010052910
## [4321] 0.050833333 0.015621340 0.004609929 0.032476190 0.005574489 0.010029112
## [4327] 0.006257147 0.014960902 0.007207729 0.015317559 0.022317022 0.005857488
## [4333] 0.003750000 0.018762198 0.023015873 0.044786325 0.012280702 0.013146819
## [4339] 0.011611098 0.025398570 0.020193811 0.009883721 0.010982424 0.012062937
## [4345] 0.036129032 0.017778905 0.014488017 0.010557237 0.005747126 0.025030224
## [4351] 0.030601093 0.024627040 0.020569813 0.025653595 0.010709751 0.010020661
## [4357] 0.038778999 0.077142857 0.023041703 0.014283502 0.013529215 0.016533333
## [4363] 0.012201868 0.014835979 0.034560698 0.024656643 0.013700977 0.020798504
## [4369] 0.029871795 0.005446194 0.027150538 0.017458333 0.014506173 0.018506494
## [4375] 0.012081072 0.027788462 0.020729167 0.015734266 0.041481481 0.014582448
## [4381] 0.056410256 0.013806160 0.009829060 0.017278044 0.033386243 0.033093378
## [4387] 0.006829256 0.005865824 0.024712644 0.017355372 0.010037879 0.011373326
## [4393] 0.021468927 0.025714286 0.033499444 0.041369348 0.042469796 0.029885057
## [4399] 0.010431717 0.042500000 0.019935588 0.028256171 0.032352941 0.016470588
## [4405] 0.023393841 0.020522088 0.031897436 0.010885984 0.037885297 0.010446429
## [4411] 0.035656214 0.008391608 0.024055759 0.018299320 0.028851852 0.030295699
## [4417] 0.010650662 0.007242234 0.024451608 0.026444444 0.006561181 0.031505682
## [4423] 0.009514500 0.007864356 0.012557561 0.010086083 0.005428571 0.020238095
## [4429] 0.022692308 0.017801418 0.021532091 0.085119048 0.020434783 0.037797619
## [4435] 0.011965890 0.015721509 0.007407748 0.039024390 0.025120773 0.019099099
## [4441] 0.031868132 0.028231293 0.021130090 0.023180221 0.028235129 0.012547833
## [4447] 0.029876364 0.012826797 0.043951451 0.019811321 0.016269841 0.025223356
## [4453] 0.014682540 0.012947658 0.015875182 0.011957672 0.014462810 0.011347518
## [4459] 0.010684624 0.017294686 0.009519461 0.019401736 0.026312057 0.028563870
## [4465] 0.038556068 0.031138344 0.020954545 0.014381271 0.018144023 0.012825542
## [4471] 0.003070175 0.030496867 0.022660099 0.007301587 0.068333333 0.023321123
## [4477] 0.005429293 0.064782609 0.055357143 0.014555556 0.017088608 0.019805195
## [4483] 0.009314826 0.010782459 0.022322606 0.016205882 0.044796184 0.004746377
## [4489] 0.022967480 0.017194337 0.025721669 0.016326531 0.021844997 0.015526696
## [4495] 0.015920398 0.018472224 0.056986532 0.012071651 0.022523524 0.015735624
## [4501] 0.007566642 0.010077519 0.015280206 0.012109705 0.016387521 0.026077098
## [4507] 0.020948132 0.020461310 0.017862319 0.036090226 0.021883469 0.022140924
## [4513] 0.004699538 0.017826087 0.018970588 0.017118644 0.029365079 0.029566569
## [4519] 0.018998410 0.019584736 0.023298140 0.060444444 0.018561894 0.029949875
## [4525] 0.013579188 0.010805067 0.032152607 0.004071111 0.017905405 0.018018018
## [4531] 0.017238095 0.019984651 0.013388945 0.019722222 0.030932814 0.004807692
## [4537] 0.016621622 0.038988095 0.008521303 0.041884498 0.029834711 0.034343434
## [4543] 0.005813008 0.025598706 0.051322751 0.040273973 0.021731397 0.018083333
## [4549] 0.013183349 0.027235772 0.021415475 0.025902778 0.033230985 0.009586466
## [4555] 0.021604938 0.017126354 0.029697173 0.022023810 0.024637681 0.023193277
## [4561] 0.019212627 0.031884058 0.011302211 0.018292063 0.018243793 0.014819782
## [4567] 0.011552302 0.021193830 0.034523810 0.014063940 0.033978772 0.039627660
## [4573] 0.029874687 0.040859466 0.006078431 0.029992691 0.019117647 0.027434310
## [4579] 0.034684685 0.025760906 0.027155172 0.025185185 0.014133333 0.013947368
## [4585] 0.027350427 0.004876543 0.018883894 0.011613896 0.008754209 0.013233522
## [4591] 0.015986395 0.021772308 0.031964286 0.024119048 0.017685455 0.006376263
## [4597] 0.013631606 0.024392801 0.016137507 0.027509158 0.024479167 0.029320988
## [4603] 0.019834499 0.021111111 0.017577031 0.020211611 0.016081238 0.026300970
## [4609] 0.019707705 0.026406456 0.019815044 0.010097087 0.028841026 0.010929463
## [4615] 0.029612768 0.008289956 0.000468384 0.096969697 0.020714286 0.026011023
## [4621] 0.016381748 0.018229167 0.085000000 0.012909664 0.015673400 0.022530582
## [4627] 0.018278388 0.012782022 0.016468927 0.022650186 0.024237631 0.018585538
## [4633] 0.015126050 0.014604116 0.007333333 0.017189707 0.040162037 0.022195122
## [4639] 0.011603935 0.040317460 0.028754539 0.014678030 0.018655904 0.028505395
## [4645] 0.010879630 0.028149920 0.022411525 0.019205169 0.013205032 0.013315530
## [4651] 0.012143626 0.017112135 0.008493590 0.050425170 0.019961874 0.016625310
## [4657] 0.005239899 0.016000807 0.014262023 0.010675991 0.032359307 0.002693603
## [4663] 0.029863649 0.022542075 0.035585586 0.011200631 0.021240391 0.034545686
## [4669] 0.030625000 0.047163947 0.034500000 0.032135417 0.003247863 0.046851852
## [4675] 0.008611111 0.024502924 0.008870523 0.011265083 0.027210884 0.021987823
## [4681] 0.039047619 0.038800000 0.026320008 0.007479289 0.017659574 0.015536555
## [4687] 0.034058957 0.025172414 0.014910394 0.023267327 0.021838687 0.030325203
## [4693] 0.016360941 0.020858475 0.023038462 0.016073781 0.031570985 0.023352993
## [4699] 0.023900203 0.012987013 0.011495239 0.027936058 0.015182880 0.025181135
## [4705] 0.018478261 0.023216783 0.026494505 0.024478493 0.058823529 0.011156463
## [4711] 0.029914530 0.033991575 0.027790836 0.014200442 0.030193184 0.042666157
## [4717] 0.006910299 0.069393939 0.025284123 0.028928571 0.024062504 0.009848144
## [4723] 0.014327278 0.027595628 0.023129252 0.011252834 0.029660100 0.038483516
## [4729] 0.018561873 0.025119048 0.021157516 0.017420532 0.012593985 0.022050322
## [4735] 0.023870968 0.025515152 0.018160173 0.016551980 0.027514124 0.015489592
## [4741] 0.008744589 0.020579710 0.014721408 0.067222222 0.016980377 0.042859175
## [4747] 0.035614035 0.104761905 0.012822843 0.034701976 0.057391304 0.017230274
## [4753] 0.018035252 0.013675718 0.024023709 0.037347156 0.017573541 0.012225275
## [4759] 0.011420635 0.013492063 0.022099252 0.032192982 0.020139353 0.002259887
## [4765] 0.013132473 0.023166023 0.034074074 0.009275362 0.009431773 0.027555556
## [4771] 0.049275362 0.009064449 0.020664031 0.021904109 0.012761333 0.013953488
## [4777] 0.029030612unique(customer.df$PageValues)## [1] 0.00000000 54.17976426 19.44707913 38.30849268 22.91603570
## [6] 11.43941195 17.53595893 8.00074074 1.70601497 46.53017511
## [11] 19.34265017 109.17600000 96.25511582 153.44324780 33.79956701
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## [21] 8.77247312 51.46331148 38.99000000 53.98920000 6.83179239
## [26] 44.67925000 59.79014286 7.10302083 19.66818546 9.22700097
## [31] 34.43601877 12.01656549 16.14384000 2.81081247 27.26888014
## [36] 11.92009615 78.93483561 15.88906362 11.99554040 18.36804916
## [41] 17.52765600 61.93950000 8.68274193 9.70211328 7.25621913
## [46] 10.10222222 25.96702005 9.16235124 1.86577778 33.61179170
## [51] 7.16961749 22.80152439 3.54114583 9.29477564 6.87130898
## [56] 35.99261538 53.13428571 8.83382593 10.60089168 5.51397619
## [61] 27.45138186 17.84230699 16.71534488 2.18871852 57.72936040
## [66] 2.08053355 45.43167130 10.79295070 8.48272727 18.58476190
## [71] 3.07783607 6.48279827 69.43043195 6.44505150 20.97144000
## [76] 19.71468924 4.64200000 4.49474123 4.66707927 7.88237726
## [81] 2.34680043 3.60939851 52.10818182 32.64521053 31.30943640
## [86] 43.36163690 2.52661686 2.08621849 8.60004310 9.15008000
## [91] 15.66445171 7.89117101 1.08815823 44.61199852 54.85543000
## [96] 13.00183962 23.86359286 29.45815149 3.14861538 3.69134483
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## [111] 31.18800000 43.79717364 63.58800000 3.31108000 3.29868000
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## [196] 22.96411765 33.32796813 18.95323404 19.36549550 8.63171951
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## [231] 10.63449802 35.98106601 14.10053333 5.41764444 27.07791667
## [236] 1.70506715 18.20995652 16.56314545 14.25648352 7.14142857
## [241] 27.23866195 13.62630613 11.48461765 10.91300022 85.75285870
## [246] 40.76128000 7.96464950 12.55220741 3.33233333 50.66498303
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## [336] 2.97321429 0.58275000 26.54550000 18.46989474 4.37691579
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## [696] 31.75846154 42.89057143 107.21702130 40.43377778 37.69920000
## [701] 21.58800000 30.80927957 17.24870115 48.86800000 47.65566667
## [706] 98.13692308 10.48533333 8.39781818 107.94000000 10.07328000
## [711] 48.72995628 24.27165000 4.62947010 8.88711111 22.74458333
## [716] 22.27457143 25.38925926 53.47457143 0.86048473 9.07305263
## [721] 5.01527273 6.58800000 173.46979170 50.82975000 11.69485714
## [726] 24.40764444 20.60836364 10.39760000 0.93697917 71.46597872
## [731] 3.34840769 26.34343478 45.48950000 32.38200000 44.38800000
## [736] 14.85131250 26.59353846 70.01826316 16.12416000 56.62363636
## [741] 5.92148209 8.02283951 6.40261290 62.07882353 48.86400000
## [746] 57.47400000 9.59740540 10.45437681 2.52499396 79.00000000
## [751] 8.60439130 19.34826667 13.99676923 23.32166667 3.38287678
## [756] 2.17243137 17.05922581 7.97550000 8.92659857 23.61948148
## [761] 19.29753191 16.67022740 12.27419487 3.24165306 4.76956682
## [766] 18.27428571 3.06437838 25.10900000 10.11360897 20.37964966
## [771] 50.38800000 6.81210526 72.30208696 8.18409508 27.74177162
## [776] 55.84860000 39.18600000 17.80800000 22.89636364 3.35813333
## [781] 15.18412500 7.60937143 16.16333333 13.11145455 16.53909091
## [786] 68.37600000 13.53068367 9.84981647 8.89759459 8.05261667
## [791] 54.07524113 21.76475048 54.97036364 7.15342105 8.06902765
## [796] 9.10293742 2.48338983 28.52788235 26.65777778 18.84400000
## [801] 6.62494737 16.94046729 59.96777143 14.73709091 7.94153153
## [806] 5.13771429 63.89100000 6.53004878 10.62514286 9.74025000
## [811] 8.86844901 13.67493333 12.59910233 26.98000000 3.99800000
## [816] 12.15210526 55.48500000 38.20940741 5.67728649 4.54760000
## [821] 5.24475000 9.86512500 43.81043478 69.27860870 42.50333333
## [826] 15.94680000 8.50823750 32.19080000 5.71006128 1.91417497
## [831] 31.22000000 5.18516514 1.03376402 24.73875000 91.24600000
## [836] 16.48421053 9.99166667 8.25657236 47.26060606 35.98000000
## [841] 2.56153846 49.39271642 11.47812903 17.54100000 64.46185714
## [846] 12.13161988 15.65808387 16.10052632 7.99800000 5.15946221
## [851] 26.98500000 38.20357895 3.98411070 5.79800000 5.90318182
## [856] 3.07670690 58.10562500 64.08126316 53.22268667 7.72677966
## [861] 8.49565116 12.59766667 33.84778378 1.91242222 23.98800000
## [866] 5.78298825 11.28427500 1.55838139 27.66400000 1.53483598
## [871] 32.43738462 10.17002765 24.02645488 33.92511220 20.88818182
## [876] 22.20401709 3.22951818 12.61543434 27.81913043 15.02583766
## [881] 8.45250000 23.13000000 6.78300000 11.82904110 6.07673457
## [886] 19.11050000 23.23500000 22.93531071 4.19760000 0.90283568
## [891] 36.25600000 9.06533333 84.30663844 28.03452632 24.28650000
## [896] 17.19073913 15.25033754 16.78420229 26.27933158 11.96396809
## [901] 58.16727273 14.98487500 20.11792982 31.98000000 15.81839583
## [906] 6.67369565 6.09432432 28.25395506 16.09065000 24.89700000
## [911] 109.58760000 28.94180488 21.07980488 32.98533333 12.08192262
## [916] 6.14934386 54.53454545 11.38642105 30.57647059 11.33463158
## [921] 1.03609091 20.62474136 1.32413545 5.54002467 3.55484781
## [926] 67.73686486 30.32360000 11.96954545 17.27040000 21.59520000
## [931] 7.25975000 17.70684845 30.87724138 80.11800000 28.16275000
## [936] 5.81616797 25.48400000 8.92682353 44.56114286 3.48535252
## [941] 3.89035018 22.73800000 54.65714872 1.45695152 13.99000000
## [946] 51.60705882 12.45099015 6.73839524 16.32244444 33.11280000
## [951] 3.32397132 11.98800000 24.90144186 26.93792373 13.18408163
## [956] 72.52076923 17.94797101 11.87691429 20.13555556 5.69412121
## [961] 36.89921429 59.12446780 2.69079257 3.11104706 13.99708333
## [966] 8.35350804 0.76382896 14.84053801 13.81852727 26.45082237
## [971] 22.45821429 39.15000000 23.38800000 14.38800000 10.87212857
## [976] 3.66361702 21.31800000 11.19300000 6.38086274 29.90282143
## [981] 2.90417718 7.88047826 39.42000000 40.87111111 1.68031884
## [986] 31.75764706 62.86600000 19.21218939 37.51854545 7.30065686
## [991] 19.31540000 1.16407539 17.37391304 49.38800000 68.85704348
## [996] 113.15121950 53.66290909 8.48851852 6.56062500 1.11975904
## [1001] 22.31912500 27.44491667 4.85884286 32.02714286 8.07242617
## [1006] 7.80261111 5.51334591 14.69293103 1.83150000 24.50485714
## [1011] 33.78800000 5.16713333 49.01914286 19.11506897 8.07853125
## [1016] 52.05165000 9.12739130 4.30831579 22.02197159 17.19611523
## [1021] 17.54550000 5.94202564 18.80505000 9.74550000 23.03329412
## [1026] 9.96092308 7.63664516 9.32353175 19.44800000 32.70730435
## [1031] 6.28149451 8.10000000 42.29306752 28.06804986 19.82770888
## [1036] 204.00794910 4.34814562 36.66178288 5.12835823 72.52283848
## [1041] 48.04726202 32.70034468 3.29682730 51.03362522 106.25251690
## [1046] 54.56704868 1.79866986 7.76628090 60.43737784 19.71529542
## [1051] 8.48084626 6.37377062 7.68745056 6.28290460 6.17593201
## [1056] 86.33623272 4.19298038 16.56478478 77.45798550 26.13034871
## [1061] 14.00979215 0.84733799 44.85638692 8.42478735 22.65941331
## [1066] 20.55494533 39.96971545 1.98103839 20.94544525 4.48432849
## [1071] 4.39547154 32.95851549 2.04276233 0.87014848 4.58691025
## [1076] 10.89761784 10.99901844 21.09392209 10.72117234 3.08510364
## [1081] 27.28786900 1.02339158 4.85637711 32.89701477 69.46239458
## [1086] 1.29767792 41.64590199 22.53693712 5.68914747 43.29821166
## [1091] 2.15383930 16.36245374 12.90587650 1.40194913 8.15081124
## [1096] 1.47623044 41.34613116 12.08836478 27.19298393 17.92758699
## [1101] 3.47813562 19.13285864 11.33062869 4.21241576 27.89717093
## [1106] 22.09581063 16.72561819 61.30486592 13.91046998 19.96563610
## [1111] 3.99818414 20.33155364 6.80128988 19.03293603 19.57059225
## [1116] 47.57360345 78.56959864 18.22752549 5.19408187 246.75859020
## [1121] 0.77099186 47.30370179 7.23220186 8.01883246 32.73061637
## [1126] 4.70206553 17.35448787 100.72560480 35.51518951 12.50786523
## [1131] 3.97954364 27.79373861 11.78466261 8.33057482 47.57898514
## [1136] 15.50362136 1.27331741 9.25316168 129.10137380 1.71821884
## [1141] 1.25769552 31.90320066 14.63523974 5.76367882 5.62486136
## [1146] 2.00603294 50.18313917 11.43923328 0.17982681 0.93770521
## [1151] 0.13183701 27.51283930 19.74930078 32.93460110 13.73292849
## [1156] 31.99181419 79.44353446 67.30929078 28.05716135 3.67382907
## [1161] 13.18078221 32.52380772 24.12558571 3.58543983 11.27445733
## [1166] 31.91414045 18.09857173 48.04390582 15.82044157 13.86451214
## [1171] 24.51269374 10.17711218 0.83898825 11.28379079 63.45892077
## [1176] 0.12967689 9.23193486 18.51505467 2.66499497 14.83978240
## [1181] 4.17431402 29.61151281 0.70015501 63.55337685 12.57401830
## [1186] 12.39204312 5.76134744 5.69765900 6.15320138 1.46401043
## [1191] 40.27815244 25.85442016 62.85326100 9.86964937 27.31414742
## [1196] 22.25592956 24.91845480 0.87504793 19.23268976 153.57769750
## [1201] 11.59522570 5.90440756 14.85337253 16.96712066 33.22292729
## [1206] 0.89849541 27.65096750 39.27673964 2.20997269 60.58437066
## [1211] 2.84831224 19.18310758 6.18921543 5.28700576 40.78047078
## [1216] 5.86043977 8.30490394 40.08238165 40.43578994 44.89345937
## [1221] 37.92414395 23.07581495 38.12368584 6.34463177 54.99509220
## [1226] 52.28594057 0.70208676 4.30762725 54.91911804 28.32886648
## [1231] 39.42556512 42.30391708 2.10185027 4.08394802 34.75023292
## [1236] 27.69500776 7.56292207 0.78090582 13.59420027 58.92417660
## [1241] 34.52221170 39.41924911 2.48002464 19.63031016 0.15216744
## [1246] 94.01683315 0.88848596 8.04958574 7.19882000 3.17042646
## [1251] 32.73373471 20.42600013 3.16408831 10.20777685 2.55114081
## [1256] 17.79528223 7.24875774 11.27546478 23.15073799 88.39170518
## [1261] 60.04472938 30.04921703 40.65972700 2.05188208 2.85203674
## [1266] 5.64799440 20.71678117 5.17710684 0.72018102 8.43520691
## [1271] 1.69696894 19.43795945 15.13596148 10.02470626 4.02799842
## [1276] 88.84365062 6.71129059 37.53469014 55.82099528 21.24191985
## [1281] 5.88595629 35.34967016 83.80837784 3.96093872 117.61659320
## [1286] 24.68624612 28.80119616 12.19588410 8.51722125 55.89978908
## [1291] 94.10360412 4.21536354 3.99674242 166.37355310 12.13602010
## [1296] 83.93274289 35.35631939 21.47899475 124.90458580 11.12205139
## [1301] 36.26141924 2.16946976 5.26819016 16.19731984 34.03997536
## [1306] 3.87058804 20.62387076 22.36033441 10.31930868 21.74067473
## [1311] 52.97841866 4.40657816 14.40305750 11.70316410 9.16303842
## [1316] 22.15399132 10.15253138 92.90417860 9.77521659 8.32672815
## [1321] 45.63345378 10.78699180 6.01267108 45.55270796 12.01221257
## [1326] 13.29131586 258.54987320 3.16569129 3.27121463 0.15482125
## [1331] 16.17228850 18.19675574 11.11383981 8.33917199 10.95661974
## [1336] 70.31635146 4.76032846 17.21022568 17.79812649 30.21969637
## [1341] 10.15064372 3.10401914 8.61122142 5.86624891 87.25396293
## [1346] 45.71146255 50.36347405 0.13920062 104.20122730 12.12586885
## [1351] 29.65880372 18.30205576 2.81247405 7.80633848 5.72136510
## [1356] 0.38472029 113.92934340 3.58663645 1.48374635 18.74860165
## [1361] 27.83116147 18.08644865 18.50321705 3.80104841 44.35972562
## [1366] 3.45938424 113.32386140 1.29823217 9.55062740 10.79250883
## [1371] 0.15065050 35.22837227 37.54741640 2.04513739 61.91792063
## [1376] 5.91534292 26.41021956 1.89194349 5.29201418 13.78150822
## [1381] 18.87145759 31.14097898 154.09553890 14.92784091 22.97728560
## [1386] 24.57349606 29.71496014 16.14887273 67.18378365 20.08902391
## [1391] 34.45943549 31.44363136 55.89978907 10.25950957 0.68291229
## [1396] 11.43180835 23.42271616 25.53300390 19.50605707 9.12860751
## [1401] 8.34275589 75.62994948 30.87227217 112.41412720 2.32126408
## [1406] 24.83718656 17.75267237 177.77145360 92.97624144 0.68533580
## [1411] 21.14016404 7.36509031 0.44703866 15.33867021 22.29319060
## [1416] 23.55043940 4.36518129 60.71287168 25.11150884 4.28674366
## [1421] 11.62063524 12.15713406 12.76490187 24.21760276 0.85836146
## [1426] 5.03440925 5.65927122 10.59553121 5.29026253 17.92983378
## [1431] 37.86167396 4.78307258 15.45198077 16.37978199 5.61370829
## [1436] 15.89480154 35.89140755 13.09195948 6.92982632 50.41116040
## [1441] 18.42740587 61.80843596 4.00117355 17.62211147 9.35278005
## [1446] 33.61787649 4.68307596 0.57978575 10.45977002 20.13907622
## [1451] 6.32447708 16.61211742 1.43522401 11.71746761 12.12257750
## [1456] 47.32661324 22.97507587 48.78806880 53.88782441 17.36252324
## [1461] 179.30729300 9.45344906 7.22441913 68.32050059 5.32974363
## [1466] 68.75226072 21.27271783 16.96885494 13.83791777 2.56848389
## [1471] 112.44062120 10.05190252 0.97580327 44.73610411 14.92797811
## [1476] 16.13470010 79.51302667 1.81635021 86.31034266 11.21330466
## [1481] 14.28629744 69.91439226 17.29676376 7.91345877 2.39528314
## [1486] 22.89972198 9.83618075 87.30695843 83.10114264 26.85210163
## [1491] 8.28511937 8.05249618 17.09528640 10.19295165 36.70369311
## [1496] 32.41773364 12.71367924 8.05223152 0.40823813 13.49047237
## [1501] 13.66308470 1.95255339 82.02143600 9.54251571 4.81894733
## [1506] 33.41173784 31.72080812 11.15668928 86.12351528 1.53353928
## [1511] 2.76705513 23.66358807 71.07435633 6.47676037 4.42805244
## [1516] 2.00164034 88.06848401 27.88924560 31.74373458 4.02332366
## [1521] 36.33496365 35.03953094 48.73081038 17.72722287 8.15436133
## [1526] 5.81815124 3.58298119 30.54596337 46.84856664 9.09821628
## [1531] 29.46284390 22.08032319 47.65907425 14.37785831 27.61615655
## [1536] 52.17313647 1.34213494 65.47265060 0.71462321 33.60744027
## [1541] 12.83702398 4.96452119 17.42324027 13.52088614 40.77935433
## [1546] 38.06520001 5.25128888 5.04632908 67.98927956 1.45383113
## [1551] 11.33037122 7.46846931 13.59007196 6.49444108 20.35484005
## [1556] 1.00204207 45.12532172 10.79674946 70.25958510 58.37208988
## [1561] 8.39128176 1.33251075 19.39995042 2.49131602 15.06586317
## [1566] 42.14163315 48.99526482 4.85962475 1.44476359 18.65904914
## [1571] 62.77367187 4.47783868 7.82683635 10.41358118 23.00459544
## [1576] 12.58722248 13.38353821 37.72031898 2.74971665 16.43725303
## [1581] 14.22049566 54.20146753 27.14408757 19.64189593 3.92827844
## [1586] 33.05509961 23.79060609 11.34860076 31.49043616 19.47465798
## [1591] 2.15909664 27.93478267 4.52963571 17.27062073 6.85414900
## [1596] 20.10126693 4.94571739 10.57326688 2.36883012 16.77416803
## [1601] 28.52919049 37.35725827 40.18975207 45.92878029 1.28856968
## [1606] 6.32260000 26.18180656 6.04720352 37.68626909 2.38596964
## [1611] 37.96905976 53.11442085 47.12454606 11.84059922 0.03803454
## [1616] 36.08245160 23.76322043 19.61979883 35.25541691 5.76741966
## [1621] 15.70942935 1.45392292 64.28793090 4.10766119 5.88766673
## [1626] 42.98453080 32.22252197 5.31610921 9.06308803 0.26809298
## [1631] 0.98110865 7.48051616 4.12743068 22.65617015 10.72449269
## [1636] 1.72586635 1.03375734 30.84751033 3.88523357 33.83646892
## [1641] 53.68539740 0.09862140 45.19820194 4.90908873 36.96220452
## [1646] 3.70979448 21.32413414 14.53547145 10.91124490 36.13790493
## [1651] 59.57182786 18.78186098 4.71893112 18.41056693 71.23156574
## [1656] 20.65287956 8.04107833 6.32869327 39.88966398 5.15026011
## [1661] 17.81649911 20.74935126 36.07906944 13.57270341 22.37276151
## [1666] 2.90865324 5.09191429 5.40893534 20.44064077 21.26632526
## [1671] 21.47142017 3.17966645 11.55399716 36.31643173 3.45487414
## [1676] 5.79089525 30.20357704 19.24405095 28.40448178 36.67229400
## [1681] 6.88718123 57.03508179 7.54214427 24.72209216 47.79177080
## [1686] 9.28454552 24.16451021 6.27768394 22.22165124 26.67428219
## [1691] 18.84993357 49.55482147 38.27331194 36.14032284 10.67716934
## [1696] 14.75943613 28.69843548 59.33984611 36.65735004 27.60143046
## [1701] 44.35848718 48.30461627 34.86423061 26.13036122 16.35155923
## [1706] 20.14579261 42.93595137 24.61778468 5.24586873 33.50211155
## [1711] 27.31510469 18.23386055 28.52395644 17.68865669 34.48748308
## [1716] 20.27555590 21.58031621 20.50348800 1.82747074 2.42745393
## [1721] 138.32083420 20.82613173 8.88767189 125.89390910 39.64975080
## [1726] 2.03927023 29.46208830 0.90637597 45.82834797 46.33991252
## [1731] 16.95907848 11.80891356 0.77531811 26.18852293 18.04114817
## [1736] 7.84853878 0.46840609 7.57047002 75.27712913 60.51988521
## [1741] 22.86584543 52.11335786 17.77043431 37.21183634 3.36406096
## [1746] 3.74015068 25.27760515 42.23025869 94.19490268 15.52703405
## [1751] 46.67852750 1.60801626 2.92416186 76.78094110 42.28127491
## [1756] 2.51497795 20.74810067 63.64653548 25.75263890 56.58021710
## [1761] 50.51764193 15.14864831 62.76294758 20.60235987 5.46424355
## [1766] 8.13727408 31.85608032 6.09989902 18.25059634 40.40144810
## [1771] 25.25564195 9.02274151 2.70251786 1.27140663 6.55623743
## [1776] 46.47480230 34.67841487 3.32286621 109.12115550 21.85958403
## [1781] 45.41882207 12.96520279 36.20031210 3.40143879 12.64606692
## [1786] 14.67198629 3.51285293 2.16480971 6.69365829 14.77221948
## [1791] 73.98253901 24.87208500 13.18554515 52.49862029 21.60180090
## [1796] 87.90296060 4.51110042 2.73435154 8.25808877 42.74590431
## [1801] 10.58098677 0.68098854 54.38258659 5.48289582 77.04199767
## [1806] 6.22999474 218.39519150 2.03839945 35.79969486 21.41943708
## [1811] 17.96069044 24.10206377 18.91607320 23.57537117 4.52832975
## [1816] 1.93549130 38.88816225 28.79847144 68.20038032 5.23722475
## [1821] 18.22304387 37.05600958 8.19192289 41.13336886 13.76473644
## [1826] 82.43263490 6.65133468 19.60551510 24.69983785 5.91438512
## [1831] 218.86490960 12.50325678 9.45890209 13.82316952 5.91145218
## [1836] 21.01746974 5.69858548 26.38074656 1.96359243 8.52454892
## [1841] 6.70944014 30.21878011 72.43846009 9.42936248 17.50624004
## [1846] 48.01365490 13.25001247 6.66423912 17.79456354 33.44471217
## [1851] 7.20120928 13.13492027 3.17818343 12.58590538 2.62690908
## [1856] 73.35866939 2.64762007 59.61184150 21.05431578 69.46175766
## [1861] 6.66492772 41.21691540 14.49431487 25.75735474 10.11599409
## [1866] 21.88856759 125.96174900 21.83420125 52.28491058 9.59484680
## [1871] 68.88769355 5.73160780 7.26703421 2.32566380 360.95338390
## [1876] 31.48142512 68.91364255 108.90898840 13.91832377 50.09121868
## [1881] 23.63939460 34.15414773 30.68883081 25.19297315 102.49221880
## [1886] 54.12171400 3.33383554 49.72830378 2.62734720 14.58941181
## [1891] 1.81848081 29.04476648 76.05518858 13.91276554 15.15643787
## [1896] 23.51024736 14.12736980 47.44850792 2.21702940 47.99199256
## [1901] 4.35051374 14.78162714 32.88667049 8.59748605 59.21256014
## [1906] 14.54270238 10.74211393 12.80819078 8.40316370 5.21469099
## [1911] 255.56915790 44.98081787 3.92032161 38.92648303 33.11000268
## [1916] 14.11909834 9.08476780 2.98241094 8.50558665 51.00308169
## [1921] 17.53927855 9.24228603 1.79107248 20.59247080 0.74294274
## [1926] 42.62274459 12.22605425 16.68711526 4.76054860 3.50753225
## [1931] 57.48364657 44.92362122 8.89861869 3.27774457 19.73335395
## [1936] 14.59072178 1.58932982 62.33035594 15.34988580 68.19740180
## [1941] 1.10444023 3.94042276 111.51138020 3.32266036 6.06442570
## [1946] 19.27621155 17.78585727 6.49391045 7.51342637 9.96444422
## [1951] 60.07483189 14.88419318 6.04871414 21.23960367 17.50632106
## [1956] 27.97007005 11.97037051 41.67536194 12.74039337 9.13138680
## [1961] 10.36159616 32.09724943 4.11339133 43.03066045 42.19732111
## [1966] 10.73461716 3.37306297 66.57412378 51.36077038 55.01131298
## [1971] 1.59780347 6.75096825 16.74209908 7.15007324 20.06500939
## [1976] 7.89093194 7.44824287 43.99403085 87.94459488 1.30768232
## [1981] 50.07598981 7.31189222 17.53361640 13.77521629 19.18108767
## [1986] 5.36441927 23.53105656 127.30801480 95.35469341 7.93528593
## [1991] 7.32900896 14.14050684 61.20406619 81.19520286 45.15513521
## [1996] 44.12861840 8.95865223 38.60204838 26.98362279 16.35594008
## [2001] 22.95499447 6.01756394 3.02657170 6.99276781 70.33953705
## [2006] 23.82324931 9.22124302 15.26399679 37.59646822 5.31230023
## [2011] 18.60589711 14.67222588 1.52957051 5.77298283 0.62451039
## [2016] 29.62188989 361.76374190 48.60947890 4.77091036 86.57772177
## [2021] 27.03986205 10.69237969 23.51599702 143.47667830 14.50274386
## [2026] 20.11392747 32.41417040 128.82786910 21.23244876 18.61684302
## [2031] 57.06546413 100.16556780 4.21336420 48.66071756 45.58268367
## [2036] 1.60682572 28.18955966 11.01940759 20.66724590 6.73374475
## [2041] 9.44292706 24.54706296 1.48321094 25.04441774 4.14145881
## [2046] 21.21126550 22.92341151 1.53931845 10.37175846 8.89683697
## [2051] 8.53392846 131.50404380 3.17906360 4.19533518 17.60939304
## [2056] 65.29516039 4.51107876 10.66936985 13.63692586 6.02352321
## [2061] 44.20382094 7.51897976 6.88976600 68.25870800 19.34978396
## [2066] 44.33548922 17.06291074 108.08938730 14.85051676 17.47671530
## [2071] 3.85165321 15.95538838 8.75404518 9.13733131 23.56763550
## [2076] 5.53990018 1.03529974 88.95486906 23.87050540 5.60638277
## [2081] 18.88360212 97.99220660 93.52994426 3.69613604 68.25041784
## [2086] 78.19779587 14.16739222 2.20900337 64.81173101 15.98803400
## [2091] 32.56725746 10.51901813 9.29401198 5.16809960 67.39709637
## [2096] 1.94305851 7.07242997 4.49558509 8.04576773 38.74833630
## [2101] 5.00765405 2.81553938 0.78027740 46.30806300 19.10349568
## [2106] 5.85066543 28.11635484 41.64625944 14.38546841 12.45078371
## [2111] 65.74605279 13.97504830 38.26667925 14.10739957 12.30811748
## [2116] 59.75418351 38.00063931 18.08361086 32.32493691 10.13196440
## [2121] 11.70614611 36.54680355 13.11682830 48.66217061 1.98455579
## [2126] 25.82676446 13.89178731 77.10821943 7.18034830 167.23083360
## [2131] 29.88386066 25.00423187 15.56462164 2.58002833 19.51010101
## [2136] 17.63434621 4.00706550 24.75265330 4.11585359 19.03391341
## [2141] 15.27655756 42.77521970 4.84736534 62.93549178 77.25951671
## [2146] 1.62505103 29.76290794 64.25350176 17.02873771 5.93133285
## [2151] 5.77097316 8.66528092 9.33174418 20.15710234 3.65172635
## [2156] 3.83607993 34.98992634 23.66458710 21.74053053 3.35943565
## [2161] 8.96074793 32.90611766 12.32661404 32.81205711 28.03795985
## [2166] 71.38981221 7.94536829 25.21523293 0.25272174 84.87572674
## [2171] 9.05546589 57.31589130 6.19428782 13.90010917 9.58116220
## [2176] 16.15855820 7.98343864 8.27583441 9.64106746 111.26299390
## [2181] 14.13747520 14.69960115 9.83635802 7.29688907 79.48403933
## [2186] 10.57361945 1.57342323 51.75775772 43.89691103 7.23107478
## [2191] 8.17472868 50.17693633 30.81857956 5.05214596 17.98756852
## [2196] 103.06108270 2.63807466 5.04016763 10.38894380 19.37005896
## [2201] 20.79483821 81.33444100 120.58791400 12.48912129 5.28608849
## [2206] 8.83802729 11.73221807 76.79104650 1.79545100 27.77725875
## [2211] 16.87878625 115.78194710 3.94173614 88.80448992 4.97021981
## [2216] 72.06822266 16.97962310 5.66745092 6.06233016 1.77749255
## [2221] 2.44215346 8.78897640 103.14028990 86.79082569 14.62413644
## [2226] 18.16617631 13.24667166 58.20233822 46.21605051 13.49031898
## [2231] 0.54881135 22.42576795 30.60955642 3.73031831 5.79302679
## [2236] 8.05583400 24.28901413 61.58171224 27.97341787 67.02771302
## [2241] 15.39534668 11.65798375 10.82357287 44.69642794 8.96944797
## [2246] 9.58156105 0.68656523 1.84291362 4.48558474 23.00194502
## [2251] 0.24515290 13.68108942 60.62885042 1.56018416 31.38886179
## [2256] 18.16953570 18.85086521 6.78695894 13.13078340 3.18749506
## [2261] 24.80248887 78.12165404 43.71856886 1.11415018 11.37726052
## [2266] 105.26097200 12.36126667 27.75787044 5.75121904 2.54795624
## [2271] 9.50949249 12.58179402 17.22281788 2.38197116 34.97250838
## [2276] 13.38149414 48.45370723 32.02019010 20.88414313 5.55251729
## [2281] 3.46444407 0.30531206 33.69233226 5.52378230 1.25743891
## [2286] 14.14084367 43.77424082 1.18073661 77.80158800 60.42298474
## [2291] 8.21617792 83.96813664 5.90747594 32.59864309 2.76959892
## [2296] 25.05062136 25.76598645 17.60269465 59.42458922 21.47448516
## [2301] 8.44235219 16.98117776 35.60912359 77.66478213 16.81772593
## [2306] 128.46869390 55.46963196 56.72227169 55.31956658 14.99601118
## [2311] 34.60160214 5.73053929 12.36004300 10.59423174 18.26940096
## [2316] 57.82473775 37.02263046 59.51850423 42.70505393 68.84905671
## [2321] 14.78422174 25.03946022 41.67776195 15.75636267 60.73155753
## [2326] 0.33523237 52.38420388 6.19058208 54.16451768 89.13481061
## [2331] 8.42192143 21.10579025 20.50963783 43.20756866 17.54619116
## [2336] 1.37270775 0.09354695 27.03298037 17.78922266 14.74449646
## [2341] 33.85339122 177.52882520 35.25420124 5.47387497 11.68031490
## [2346] 56.17738060 23.30000662 119.89433270 17.85338057 8.92090078
## [2351] 17.43149651 22.82159308 9.26982796 4.74162606 13.93940910
## [2356] 14.45829487 42.42253100 40.01028435 8.02486573 25.74700712
## [2361] 40.51760545 26.09995422 32.38852793 23.59811637 15.84839963
## [2366] 45.96751050 10.12959599 52.74177636 4.64650321 5.69871104
## [2371] 10.09867780 38.19240444 10.06743570 52.03463312 11.93318810
## [2376] 60.26309658 3.54631555 3.61382908 14.15437174 1.46969325
## [2381] 112.66613650 12.09622118 97.19657367 9.41934649 7.05333500
## [2386] 287.95379280 51.27258615 7.96397642 214.30666270 25.12339065
## [2391] 63.14985950 64.95645099 14.52186250 3.83397413 16.04403014
## [2396] 0.85050952 36.86701770 5.39176749 2.90787934 13.55041394
## [2401] 31.63684138 2.61306279 18.12700440 13.43133991 5.29198915
## [2406] 9.96425581 16.61144026 47.83758971 18.71641694 18.21579469
## [2411] 5.90929503 12.99938379 12.07905093 5.71562257 15.15104830
## [2416] 34.85660705 7.05992985 56.31760103 89.29548670 140.66213660
## [2421] 18.58457770 3.70161889 29.34770837 34.29431289 12.00869742
## [2426] 5.37674059 5.15780368 16.72936970 2.52721748 13.26221446
## [2431] 6.13598245 25.57242933 9.69917706 7.49715506 16.58165201
## [2436] 61.61833364 11.65996434 9.65025004 28.41708136 8.67134407
## [2441] 1.12514606 45.46426090 4.28967886 60.62238300 53.73655336
## [2446] 33.86849093 93.77761706 151.56505230 54.10230816 54.04869560
## [2451] 52.67778465 5.13391185 12.02904527 2.13632558 22.45841786
## [2456] 3.66377788 3.96030630 1.38579184 16.27511574 42.22150549
## [2461] 3.86863332 14.02863873 39.48337116 22.13419743 49.01323885
## [2466] 40.42327574 38.19067209 19.66912605 32.43717827 12.20780052
## [2471] 49.36350729 3.80128899 23.73891130 5.00266978 6.42575764
## [2476] 3.50497054 60.01343064 42.26791822 27.97632918 32.22246226
## [2481] 18.08071442 26.41113767 27.79149135 23.27552205 12.60913229
## [2486] 26.25948159 27.86366003 13.28070081 21.96462420 32.31711630
## [2491] 44.06491359 41.42209500 14.18391563 136.93795800 67.26616125
## [2496] 14.57483754 25.10043261 11.77908986 17.46396119 41.53706414
## [2501] 23.18305163 29.38287135 76.79037287 10.21771151 3.18693501
## [2506] 34.79013586 90.92852170 7.90737955 14.96948769 2.51591586
## [2511] 24.07951908 13.18501000 7.99490429 10.90023366 19.29866138
## [2516] 64.41616070 8.83351003 21.81920724 11.10333103 4.59675105
## [2521] 54.76629511 46.62801597 48.92856443 62.83957669 6.42074610
## [2526] 81.75845837 48.60623685 14.94379331 27.07846934 3.72653023
## [2531] 62.40576241 18.07802206 16.43784656 0.78959179 1.26665917
## [2536] 55.56967560 1.77336933 6.64191142 3.01402558 15.38432962
## [2541] 9.69415407 40.65671234 39.59436227 18.13388282 4.78972262
## [2546] 17.15249937 0.65178181 47.99566725 83.78651166 39.75249992
## [2551] 38.33994350 1.99078867 12.94438665 28.11367347 4.80330573
## [2556] 44.44361400 18.85445822 87.74978701 37.42337649 62.51664293
## [2561] 32.13922216 77.97458009 10.05608631 16.96317099 40.18448790
## [2566] 3.72874257 75.50833257 9.90514375 6.24539781 21.39566828
## [2571] 7.86898095 63.93506419 8.88664853 14.13268846 6.02885410
## [2576] 8.84568953 61.07207396 4.28030220 16.64099403 51.86660251
## [2581] 62.86831138 11.32556227 3.22226170 36.95500632 32.91300914
## [2586] 22.31126324 45.05554866 19.78456264 21.03233592 5.77478516
## [2591] 23.33239205 46.06937312 270.78469310 3.01218182 1.02255058
## [2596] 9.19398922 4.47029769 2.35643729 20.32548134 141.45905380
## [2601] 26.65415979 30.83748589 57.59075850 41.13433129 0.95193375
## [2606] 7.47738811 5.87300079 20.04842101 4.07492100 15.63731434
## [2611] 3.05990612 0.60223282 39.29216261 34.14841957 10.53591515
## [2616] 26.45046371 34.27708553 38.83384563 5.93200901 1.45186786
## [2621] 28.16893067 92.93949930 6.70890060 4.45266449 1.17898995
## [2626] 19.31425101 0.06704955 3.30305997 9.82911458 27.61403036
## [2631] 13.64300463 12.18867006 16.16057924 22.02071582 2.27035806
## [2636] 5.56027054 56.57877343 16.43637285 7.52115503 69.71321410
## [2641] 15.10854300 6.89823246 41.55801982 11.07703164 5.45243266
## [2646] 42.83887416 2.78093778 226.67770170 38.41401623 40.72562976
## [2651] 60.97758829 116.33786520 4.48567854 9.47291436 21.38257580
## [2656] 13.20331045 8.80513896 0.81830655 9.07868162 46.77831787
## [2661] 17.28402947 9.00531078 11.30850046 16.32930757 11.62573653
## [2666] 19.56746389 77.64914484 33.31220592 39.03844200 5.14592887
## [2671] 7.20930512 2.12273186 5.64868813 30.30681247 2.82745293
## [2676] 7.01475344 50.81417971 11.62288468 64.72238907 8.48295152
## [2681] 17.49721917 81.02729581 6.47920626 5.46809350 8.46638476
## [2686] 133.28137860 3.45107211 31.81967723 1.24007111 10.22993737
## [2691] 42.03044096 28.12876638 8.08665706 97.86083623 11.61864445
## [2696] 36.39286104 18.67564853 7.14760377 44.21979406 39.51980679
## [2701] 1.58247315 78.81172527 3.68540082 12.24171745unique(customer.df$SpecialDay)## [1] 0.0 0.4 0.8 1.0 0.2 0.6unique(customer.df$Month)## [1] "Feb" "Mar" "May" "Oct" "June" "Jul" "Aug" "Nov" "Sep" "Dec"unique(customer.df$OperatingSystems)## [1] 1 2 4 3 7 6 8 5unique(customer.df$Browser)## [1] 1 2 3 4 5 6 7 10 8 9 12 13 11unique(customer.df$Region)## [1] 1 9 2 3 4 5 6 7 8unique(customer.df$TrafficType)## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 19 16 17 20unique(customer.df$VisitorType)## [1] "Returning_Visitor" "New_Visitor" "Other"unique(customer.df$Weekend)## [1] FALSE TRUEunique(customer.df$Revenue)## [1] FALSE TRUE4.3 Uniformity
5.0 Exploratory Data Analysis
5.1 Univariate Analysis
# checking the summary statistics of each column
summary(customer.df)## Administrative Administrative_Duration Informational
## Min. : 0.00 Min. : -1.00 Min. : 0.0000
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.0000
## Median : 1.00 Median : 9.00 Median : 0.0000
## Mean : 2.34 Mean : 81.68 Mean : 0.5088
## 3rd Qu.: 4.00 3rd Qu.: 94.75 3rd Qu.: 0.0000
## Max. :27.00 Max. :3398.75 Max. :24.0000
## Informational_Duration ProductRelated ProductRelated_Duration
## Min. : -1.00 Min. : 0.00 Min. : -1.0
## 1st Qu.: 0.00 1st Qu.: 8.00 1st Qu.: 193.6
## Median : 0.00 Median : 18.00 Median : 609.5
## Mean : 34.84 Mean : 32.06 Mean : 1207.5
## 3rd Qu.: 0.00 3rd Qu.: 38.00 3rd Qu.: 1477.6
## Max. :2549.38 Max. :705.00 Max. :63973.5
## BounceRates ExitRates PageValues SpecialDay
## Min. :0.00000 Min. :0.00000 Min. : 0.000 Min. :0.00000
## 1st Qu.:0.00000 1st Qu.:0.01422 1st Qu.: 0.000 1st Qu.:0.00000
## Median :0.00293 Median :0.02500 Median : 0.000 Median :0.00000
## Mean :0.02045 Mean :0.04150 Mean : 5.952 Mean :0.06197
## 3rd Qu.:0.01667 3rd Qu.:0.04848 3rd Qu.: 0.000 3rd Qu.:0.00000
## Max. :0.20000 Max. :0.20000 Max. :361.764 Max. :1.00000
## Month OperatingSystems Browser Region
## Length:12199 Min. :1.000 Min. : 1.000 Min. :1.000
## Class :character 1st Qu.:2.000 1st Qu.: 2.000 1st Qu.:1.000
## Mode :character Median :2.000 Median : 2.000 Median :3.000
## Mean :2.124 Mean : 2.358 Mean :3.153
## 3rd Qu.:3.000 3rd Qu.: 2.000 3rd Qu.:4.000
## Max. :8.000 Max. :13.000 Max. :9.000
## TrafficType VisitorType Weekend Revenue
## Min. : 1.000 Length:12199 Mode :logical Mode :logical
## 1st Qu.: 2.000 Class :character FALSE:9343 FALSE:10291
## Median : 2.000 Mode :character TRUE :2856 TRUE :1908
## Mean : 4.075
## 3rd Qu.: 4.000
## Max. :20.000The table above shows Mean, Median,mode, minimum, maximum, and quartiles of each columns.
# describing the columns
describe(customer.df)## customer.df
##
## 18 Variables 12199 Observations
## --------------------------------------------------------------------------------
## Administrative
## n missing distinct Info Mean Gmd .05 .10
## 12199 0 27 0.898 2.34 3.193 0 0
## .25 .50 .75 .90 .95
## 0 1 4 7 9
##
## lowest : 0 1 2 3 4, highest: 22 23 24 26 27
## --------------------------------------------------------------------------------
## Administrative_Duration
## n missing distinct Info Mean Gmd .05 .10
## 12199 0 3336 0.896 81.68 125.8 0.00 0.00
## .25 .50 .75 .90 .95
## 0.00 9.00 94.75 227.05 352.23
##
## lowest : -1.000000 0.000000 1.333333 2.000000 3.000000
## highest: 2407.423810 2629.253968 2657.318056 2720.500000 3398.750000
## --------------------------------------------------------------------------------
## Informational
## n missing distinct Info Mean Gmd .05 .10
## 12199 0 17 0.516 0.5088 0.8763 0 0
## .25 .50 .75 .90 .95
## 0 0 0 2 3
##
## lowest : 0 1 2 3 4, highest: 12 13 14 16 24
##
## Value 0 1 2 3 4 5 6 7 8 9 10
## Frequency 9569 1041 727 380 222 99 78 36 14 15 7
## Proportion 0.784 0.085 0.060 0.031 0.018 0.008 0.006 0.003 0.001 0.001 0.001
##
## Value 11 12 13 14 16 24
## Frequency 1 5 1 2 1 1
## Proportion 0.000 0.000 0.000 0.000 0.000 0.000
## --------------------------------------------------------------------------------
## Informational_Duration
## n missing distinct Info Mean Gmd .05 .10
## 12199 0 1259 0.488 34.84 64.71 0 0
## .25 .50 .75 .90 .95
## 0 0 0 74 199
##
## lowest : -1.000 0.000 1.000 1.500 2.000
## highest: 2166.500 2195.300 2252.033 2256.917 2549.375
## --------------------------------------------------------------------------------
## ProductRelated
## n missing distinct Info Mean Gmd .05 .10
## 12199 0 311 0.999 32.06 36.51 2 3
## .25 .50 .75 .90 .95
## 8 18 38 74 110
##
## lowest : 0 1 2 3 4, highest: 518 534 584 686 705
## --------------------------------------------------------------------------------
## ProductRelated_Duration
## n missing distinct Info Mean Gmd .05 .10
## 12199 0 9552 1 1208 1491 0.0 44.4
## .25 .50 .75 .90 .95
## 193.6 609.5 1477.6 2905.0 4313.5
##
## lowest : -1.000000 0.000000 0.500000 1.000000 2.333333
## highest: 24844.156200 27009.859430 29970.465970 43171.233380 63973.522230
## --------------------------------------------------------------------------------
## BounceRates
## n missing distinct Info Mean Gmd .05 .10
## 12199 0 1872 0.908 0.02045 0.03289 0.00000 0.00000
## .25 .50 .75 .90 .95
## 0.00000 0.00293 0.01667 0.05000 0.15000
##
## lowest : 0.0000000 0.0000273 0.0000335 0.0000383 0.0000394
## highest: 0.1750000 0.1769231 0.1800000 0.1833333 0.2000000
## --------------------------------------------------------------------------------
## ExitRates
## n missing distinct Info Mean Gmd .05 .10
## 12199 0 4777 1 0.0415 0.04232 0.004545 0.007407
## .25 .50 .75 .90 .95
## 0.014223 0.025000 0.048485 0.100000 0.175000
##
## lowest : 0.000000000 0.000175593 0.000250438 0.000262123 0.000263158
## highest: 0.183333333 0.186666667 0.188888889 0.192307692 0.200000000
## --------------------------------------------------------------------------------
## PageValues
## n missing distinct Info Mean Gmd .05 .10
## 12199 0 2704 0.532 5.953 10.65 0.00 0.00
## .25 .50 .75 .90 .95
## 0.00 0.00 0.00 19.12 38.31
##
## lowest : 0.00000000 0.03803454 0.06704955 0.09354695 0.09862140
## highest: 261.49128570 270.78469310 287.95379280 360.95338390 361.76374190
## --------------------------------------------------------------------------------
## SpecialDay
## n missing distinct Info Mean Gmd
## 12199 0 6 0.277 0.06197 0.1142
##
## lowest : 0.0 0.2 0.4 0.6 0.8, highest: 0.2 0.4 0.6 0.8 1.0
##
## Value 0.0 0.2 0.4 0.6 0.8 1.0
## Frequency 10950 178 243 350 324 154
## Proportion 0.898 0.015 0.020 0.029 0.027 0.013
## --------------------------------------------------------------------------------
## Month
## n missing distinct
## 12199 0 10
##
## lowest : Aug Dec Feb Jul June, highest: Mar May Nov Oct Sep
##
## Value Aug Dec Feb Jul June Mar May Nov Oct Sep
## Frequency 433 1706 182 432 285 1853 3328 2983 549 448
## Proportion 0.035 0.140 0.015 0.035 0.023 0.152 0.273 0.245 0.045 0.037
## --------------------------------------------------------------------------------
## OperatingSystems
## n missing distinct Info Mean Gmd
## 12199 0 8 0.828 2.124 0.8615
##
## lowest : 1 2 3 4 5, highest: 4 5 6 7 8
##
## Value 1 2 3 4 5 6 7 8
## Frequency 2548 6536 2530 478 6 19 7 75
## Proportion 0.209 0.536 0.207 0.039 0.000 0.002 0.001 0.006
## --------------------------------------------------------------------------------
## Browser
## n missing distinct Info Mean Gmd .05 .10
## 12199 0 13 0.723 2.358 1.316 1 1
## .25 .50 .75 .90 .95
## 2 2 2 4 5
##
## lowest : 1 2 3 4 5, highest: 9 10 11 12 13
##
## Value 1 2 3 4 5 6 7 8 9 10 11
## Frequency 2426 7878 105 730 466 174 49 135 1 163 6
## Proportion 0.199 0.646 0.009 0.060 0.038 0.014 0.004 0.011 0.000 0.013 0.000
##
## Value 12 13
## Frequency 10 56
## Proportion 0.001 0.005
## --------------------------------------------------------------------------------
## Region
## n missing distinct Info Mean Gmd
## 12199 0 9 0.933 3.153 2.553
##
## lowest : 1 2 3 4 5, highest: 5 6 7 8 9
##
## Value 1 2 3 4 5 6 7 8 9
## Frequency 4711 1127 2382 1168 317 800 758 431 505
## Proportion 0.386 0.092 0.195 0.096 0.026 0.066 0.062 0.035 0.041
## --------------------------------------------------------------------------------
## TrafficType
## n missing distinct Info Mean Gmd .05 .10
## 12199 0 20 0.954 4.075 3.735 1 1
## .25 .50 .75 .90 .95
## 2 2 4 11 13
##
## lowest : 1 2 3 4 5, highest: 16 17 18 19 20
##
## Value 1 2 3 4 5 6 7 8 9 10 11
## Frequency 2383 3907 2017 1066 260 443 40 343 41 450 247
## Proportion 0.195 0.320 0.165 0.087 0.021 0.036 0.003 0.028 0.003 0.037 0.020
##
## Value 12 13 14 15 16 17 18 19 20
## Frequency 1 728 13 36 3 1 10 17 193
## Proportion 0.000 0.060 0.001 0.003 0.000 0.000 0.001 0.001 0.016
## --------------------------------------------------------------------------------
## VisitorType
## n missing distinct
## 12199 0 3
##
## Value New_Visitor Other Returning_Visitor
## Frequency 1693 81 10425
## Proportion 0.139 0.007 0.855
## --------------------------------------------------------------------------------
## Weekend
## n missing distinct
## 12199 0 2
##
## Value FALSE TRUE
## Frequency 9343 2856
## Proportion 0.766 0.234
## --------------------------------------------------------------------------------
## Revenue
## n missing distinct
## 12199 0 2
##
## Value FALSE TRUE
## Frequency 10291 1908
## Proportion 0.844 0.156
## --------------------------------------------------------------------------------Number of rows,Standard deviation,Trimmed mean,Mean absolute deviation,Skewness,Kurtosis ,frequency and Standard error of each column are displayed above.
sapply(customer.df[,c(1:10)],skewness)## Administrative Administrative_Duration Informational
## 1.946248 5.590210 4.013451
## Informational_Duration ProductRelated ProductRelated_Duration
## 7.537435 4.332134 7.251403
## BounceRates ExitRates PageValues
## 3.152874 2.233125 6.348663
## SpecialDay
## 3.284481The variables are highly skewed
# Checking for the kurtosis
sapply(customer.df[,c(1:10)],kurtosis)## Administrative Administrative_Duration Informational
## 7.636106 53.093885 29.642540
## Informational_Duration ProductRelated ProductRelated_Duration
## 78.464088 34.049027 139.590792
## BounceRates ExitRates PageValues
## 12.255064 7.624252 67.940307
## SpecialDay
## 12.786054barplot(table(customer.df$Month),main="Distribution of months",col = "green",ylab = "count of visitors")
May has the highest visitors followed November, March and December while February has the lowest count of visitors.
barplot(table(customer.df$VisitorType),main="Distribution of Visitor Type",col = "blue",ylab = "Count of visitors")
The number of returning customers is higher than new customers.
ggplot(customer.df, aes(x=factor(`TrafficType`))) + geom_bar( fill=rgb(0.4,0.1,0.5)) +
labs(title="Bar chart on Traffic Type")
Most popular traffic type is 2.
ggplot(customer.df, aes(x=factor(`Revenue`))) + geom_bar( fill=rgb(0.4,0.1,0.5)) +
labs(title="Revenue Status")
Most users not translating their activity on site to revenue.
ggplot(customer.df, aes(x=factor(`Weekend`))) + geom_bar( fill=rgb(0.4,0.1,0.5)) +
labs(title="Day of the week in response to how often the site was visited")
Most people visit the site during weekdays rather than on weekends.
6.0 Bivariate analysis
6.1 Scatter Plots
ggplot(customer.df, aes(x = ExitRates , y = BounceRates )) + geom_point()+
labs(title="Relationship between Bounce rates and Exit rates")
There is a high positive correlation between Bounce and exit rates. This shows that users who bounce from one page to another are most likely to exit the site quicker.
ggplot(customer.df, aes(x=ProductRelated_Duration, y = Informational_Duration )) + geom_point(aes(colour= as.factor(`Revenue`)))+
labs(title="ProductRelated_Duration vs Informational_Duration based on revenue")
Informational and product related duration show that most users are less likely to pay revenue.there is a less relationship between information and product related duration.
# Months vs Generating Revenue
ggplot(customer.df, aes(Month, color=Revenue, fill=Revenue)) +
geom_bar()+
labs(title="Revenue generated per month")
The month of November,may ,December are the months which generate significantly more revenue for the business.
# Operating systems vs Generating Revenue
ggplot(customer.df, aes(OperatingSystems, color=Revenue, fill=Revenue)) +
geom_bar()+
labs(title = "Revenue generated in relation to various operating system")
Users of type 2 Operating System generated most revenue for the site followed by 1.
6.2 Heat map
# calculating correlations and plotting a correlation plot
corrplot(corr = cor(customer.df[, c(1:9)]), method = "number", type = "upper", order = "hclust", tl.col = "blue", tl.cex = 0.6)
There is a strong correlation of 0.9 between bounce rates and exit rates indicating a strong relationship. Other variables sites were strongly correlated with how much time was spent in them
7.0 Implementation using Clustering
Label encoding
# converting our categorical data to numerical data type
# Convert our variables to factor datatype
customer.df$Month <- as.factor(customer.df$Month)
customer.df$VisitorType <- as.factor(customer.df$TrafficType)
customer.df$Weekend <- as.factor(customer.df$Weekend)
customer.df$Revenue <- as.factor(customer.df$Revenue)# Convert variables from factor to numeric datatype
customer.df$Month <- as.numeric(customer.df$Month)
customer.df$VisitorType <- as.numeric(customer.df$TrafficType)
customer.df$Weekend <- as.numeric(customer.df$Weekend)
customer.df$Revenue <- as.numeric(customer.df$Revenue)# Let's scale our data
customer.df.scl <- scale(customer.df[,-18])
head(customer.df.scl)## Administrative Administrative_Duration Informational Informational_Duration
## 1 -0.7025315 -0.4601081 -0.3988128 -0.2462725
## 2 -0.7025315 -0.4601081 -0.3988128 -0.2462725
## 3 -0.7025315 -0.4657410 -0.3988128 -0.2533417
## 4 -0.7025315 -0.4601081 -0.3988128 -0.2462725
## 5 -0.7025315 -0.4601081 -0.3988128 -0.2462725
## 6 -0.7025315 -0.4601081 -0.3988128 -0.2462725
## ProductRelated ProductRelated_Duration BounceRates ExitRates PageValues
## 1 -0.6963635 -0.6289343 3.954699721 3.4273070 -0.3190356
## 2 -0.6739424 -0.5955997 -0.450343788 1.2650121 -0.3190356
## 3 -0.6963635 -0.6294551 3.954699721 3.4273070 -0.3190356
## 4 -0.6739424 -0.6275453 0.650917089 2.1299300 -0.3190356
## 5 -0.4945739 -0.3020990 -0.009839437 0.1838646 -0.3190356
## 6 -0.2927843 -0.5486101 -0.102577188 -0.3661929 -0.3190356
## SpecialDay Month OperatingSystems Browser Region TrafficType
## 1 -0.3103105 -1.333953 -1.2396607 -0.7939682 -0.8962939 -0.76562243
## 2 -0.3103105 -1.333953 -0.1371074 -0.2093703 -0.8962939 -0.51660683
## 3 -0.3103105 -1.333953 2.0679992 -0.7939682 2.4336556 -0.26759123
## 4 -0.3103105 -1.333953 0.9654459 -0.2093703 -0.4800502 -0.01857564
## 5 -0.3103105 -1.333953 0.9654459 0.3752276 -0.8962939 -0.01857564
## 6 -0.3103105 -1.333953 -0.1371074 -0.2093703 -0.8962939 -0.26759123
## VisitorType Weekend
## 1 -0.76562243 -0.5528638
## 2 -0.51660683 -0.5528638
## 3 -0.26759123 -0.5528638
## 4 -0.01857564 -0.5528638
## 5 -0.01857564 1.8086156
## 6 -0.26759123 -0.55286387.1 Hierarchical clustering
# computing the distance metrics
d <- dist(customer.df.scl, method="euclidean")
# Clustering algorithm deployment
model <- hclust(d, method="ward.D2")# viewing the dendogram
plot(model, cex=0.6, hang=-1)
# Ward's method
hc <- hclust(d, method="ward.D2")
# cut the tree into 5 parts
sub_grp <- cutree(hc, k=4)
table(sub_grp)## sub_grp
## 1 2 3 4
## 641 7719 1917 1922plot(hc, cex=2, hang=-1 )
rect.hclust(hc, k=4, border=2:5)
7.2 K-Clustering
# Normalizing the dataset so that no particular attribute
# has more impact on clustering algorithm than others.
# ---
#
x <- customer.df[, -18]
normalize <- function(x){
return ((x-min(x)) / (max(x)-min(x)))
}
x$Administrative <- normalize(x$Administrative)
x$Administrative_Duration <- normalize(x$Administrative_Duration)
x$Informational <- normalize(x$Informational)
x$Informational_Duration <- normalize(x$Informational_Duration)
x$ProductRelated <- normalize(x$ProductRelated)
x$ProductRelated_Duration <- normalize(x$ProductRelated_Duration)
x$BounceRates <- normalize(x$BounceRates)
x$ExitRates <- normalize(x$ExitRates)
x$PageValues <- normalize(x$PageValues)
x$SpecialDay <- normalize(x$SpecialDay)# finding optimum k using elbow method
fviz_nbclust(x, kmeans, method="wss")
# silhouette method
fviz_nbclust(x, kmeans, method="silhouette")
# Using 3 clusters
k <- kmeans(x, centers=3, nstart=25)We will use Elbow Method cluster ,k=3 is more of a decision rule
# compute gap statistic
library(cluster)
set.seed(42)
gap.km <- clusGap(x <- customer.df[, -18], FUN = kmeans, K.max = 15, nstart = 25,
B = 5)## Warning: Quick-TRANSfer stage steps exceeded maximum (= 609950)
## Warning: Quick-TRANSfer stage steps exceeded maximum (= 609950)
## Warning: Quick-TRANSfer stage steps exceeded maximum (= 609950)## Warning: did not converge in 10 iterations
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## Warning: Quick-TRANSfer stage steps exceeded maximum (= 609950)fviz_gap_stat(gap.km)
Conclusion
Traffic type 2 had in the most visitors. Some of the traffic types did not bring in any visitors for all the months under analysis.
Visitors to the site are mostly returning visitors. A good indicator of customer satisfaction.
Return customers are the main source of revenue Most purchases were made in November. This makes sense because of the festive season in December.
Most purchases happens on weekdays rather than on weekends. Most adverts should be running on weekdays as well as offers.
Model: Hierarchical clustering the model does not show clear clusters when the dataset is large compared to K-Means thus would advocate use of K-Means