From ac170921aae5d1bebbe026dd05e6c41ce6f298eb Mon Sep 17 00:00:00 2001 From: jhudsl-robot Date: Fri, 20 Jan 2023 18:20:27 +0000 Subject: [PATCH 1/9] Style Rmds --- modules/Functions/Functions.Rmd | 43 ++++++++++++++++++--------------- 1 file changed, 24 insertions(+), 19 deletions(-) diff --git a/modules/Functions/Functions.Rmd b/modules/Functions/Functions.Rmd index 38ce6c7ce..a7c8ce1a6 100644 --- a/modules/Functions/Functions.Rmd +++ b/modules/Functions/Functions.Rmd @@ -94,9 +94,8 @@ times_2_plus_4 <- function(x) { return(output) } -result <-times_2_plus_4(x = 10) +result <- times_2_plus_4(x = 10) result - ``` @@ -115,13 +114,13 @@ times_2_plus_y(x = 10, y = 3) Functions can have one returned result with multiple outputs. ```{r comment=""} -x_and_y_plus_2<- function(x, y){ - output1 <- x + 2 - output2 <- y + 2 +x_and_y_plus_2 <- function(x, y) { + output1 <- x + 2 + output2 <- y + 2 -return(c(output1,output2)) + return(c(output1, output2)) } -result <-x_and_y_plus_2(x = 10, y = 3) +result <- x_and_y_plus_2(x = 10, y = 3) result ``` @@ -243,14 +242,17 @@ iris %>% sapply(class) ```{r} select(cars, VehYear:VehicleAge) %>% head() -select(cars, VehYear:VehicleAge) %>% sapply(times_2) %>% head() +select(cars, VehYear:VehicleAge) %>% + sapply(times_2) %>% + head() ``` ## Using your custom functions "on the fly" to iterate ```{r comment=""} -select(cars, VehYear:VehicleAge) %>% - sapply(function(x) x / 1000) %>% head() +select(cars, VehYear:VehicleAge) %>% + sapply(function(x) x / 1000) %>% + head() ``` # across @@ -307,7 +309,7 @@ cars_dbl %>% Using different `tidyselect()` options: ```{r warning=FALSE} -cars_dbl %>% +cars_dbl %>% group_by(Make) %>% summarize(across(.cols = starts_with("Veh"), .fns = mean)) ``` @@ -319,9 +321,10 @@ Combining with `mutate()`: rounding to the nearest power of 10 (with negative di ```{r} cars_dbl %>% mutate(across( - .cols = starts_with("Veh"), - .fns = round, - digits = -3)) + .cols = starts_with("Veh"), + .fns = round, + digits = -3 + )) ``` @@ -346,19 +349,21 @@ mort %>% ## Use custom functions within `mutate` and `across` ```{r} -times1000 <- function(x) x *1000 +times1000 <- function(x) x * 1000 airquality %>% mutate(across( .cols = everything(), .fns = times1000 - )) %>% head(n = 2) + )) %>% + head(n = 2) airquality %>% mutate(across( .cols = everything(), - .fns = function(x) x *1000 - )) %>% head(n = 2) + .fns = function(x) x * 1000 + )) %>% + head(n = 2) ``` @@ -380,7 +385,7 @@ airquality %>% map_df(replace_na, replace = 0) Lists help us work with multiple data frames ```{r} -AQ_list <- list( AQ1 = airquality, AQ2 = airquality, AQ3 = airquality) +AQ_list <- list(AQ1 = airquality, AQ2 = airquality, AQ3 = airquality) str(AQ_list) ``` From be4a048837e0113dea9b16c23b67d0f394f03228 Mon Sep 17 00:00:00 2001 From: jhudsl-robot Date: Fri, 20 Jan 2023 18:25:08 +0000 Subject: [PATCH 2/9] Render site --- index.html | 2 +- modules/Basic_R/lab/Basic_R_Lab_Key.html | 20 +- modules/Data_Cleaning/Data_Cleaning.html | 16 +- .../Data_Summarization.html | 4 +- .../Data_Visualization.html | 2 +- modules/Factors/Factors.html | 12 +- modules/Functions/Functions.html | 15900 +--------------- modules/Functions/lab/Functions_Lab.html | 14 +- modules/Functions/lab/Functions_Lab_Key.html | 22 +- modules/Statistics/Statistics.html | 38 +- .../Subsetting_Data_in_R/index_withbase.html | 2 +- modules/cheatsheets/Day-1.pdf | Bin 115716 -> 115716 bytes modules/cheatsheets/Day-2.pdf | Bin 113865 -> 113865 bytes modules/cheatsheets/Day-3.pdf | Bin 116874 -> 116874 bytes modules/cheatsheets/Day-4.pdf | Bin 116786 -> 116786 bytes modules/cheatsheets/Day-5.pdf | Bin 109482 -> 109482 bytes modules/cheatsheets/Day-6.pdf | Bin 131071 -> 131071 bytes modules/cheatsheets/Day-7.pdf | Bin 112173 -> 112173 bytes modules/cheatsheets/Day-8.pdf | Bin 103102 -> 103102 bytes modules/cheatsheets/Day-9.pdf | Bin 102812 -> 102812 bytes quotes_vs_backticks.html | 78 +- resources/debugging_guide.pdf | Bin 170097 -> 170097 bytes .../good-scientific-coding-practices.pdf | Bin 155392 -> 155392 bytes resources/rtools_windows.pdf | Bin 74301 -> 74301 bytes 24 files changed, 451 insertions(+), 15659 deletions(-) diff --git a/index.html b/index.html index a19c392e0..1e4004fc6 100644 --- a/index.html +++ b/index.html @@ -313,7 +313,7 @@

Class

Find an Error!?


Feel free to submit typos/errors/etc via the GitHub repository associated with the class: https://github.com/jhudsl/intro_to_r

-

This page was last updated on 2023-01-19.

+

This page was last updated on 2023-01-20.

Creative Commons License

diff --git a/modules/Basic_R/lab/Basic_R_Lab_Key.html b/modules/Basic_R/lab/Basic_R_Lab_Key.html index a9ae789a7..54967b7b1 100644 --- a/modules/Basic_R/lab/Basic_R_Lab_Key.html +++ b/modules/Basic_R/lab/Basic_R_Lab_Key.html @@ -308,16 +308,16 @@

Part 3

replace = TRUE ) my_responses -
##  [1] "Strongly Agree"    "Strongly Agree"    "Neutral"          
-##  [4] "Agree"             "Agree"             "Disagree"         
-##  [7] "Neutral"           "Agree"             "Disagree"         
-## [10] "Disagree"          "Strongly Disagree" "Strongly Disagree"
-## [13] "Strongly Agree"    "Agree"             "Disagree"         
-## [16] "Neutral"           "Strongly Disagree" "Neutral"          
-## [19] "Strongly Agree"    "Neutral"           "Disagree"         
-## [22] "Agree"             "Strongly Disagree" "Disagree"         
-## [25] "Strongly Agree"    "Agree"             "Strongly Disagree"
-## [28] "Agree"             "Neutral"           "Agree"
+
##  [1] "Disagree"          "Neutral"           "Neutral"          
+##  [4] "Neutral"           "Neutral"           "Disagree"         
+##  [7] "Neutral"           "Agree"             "Agree"            
+## [10] "Strongly Disagree" "Strongly Agree"    "Agree"            
+## [13] "Disagree"          "Disagree"          "Strongly Agree"   
+## [16] "Strongly Disagree" "Agree"             "Strongly Disagree"
+## [19] "Agree"             "Disagree"          "Neutral"          
+## [22] "Strongly Disagree" "Strongly Disagree" "Strongly Agree"   
+## [25] "Strongly Agree"    "Agree"             "Strongly Agree"   
+## [28] "Strongly Disagree" "Strongly Agree"    "Strongly Agree"

Bonus / Extra practice: Let’s say you change your survey so participants can rank their response 1-10 (inclusive). Create a randomly sampled vector of 30 survey responses. (hint use seq() and sample() and set the replace argument to TRUE). Store the output as my_responses_2. Examine the data by typing the name in the Console using a function.

my_responses_2 <- sample(
   x = seq(from = 1, to = 10),
diff --git a/modules/Data_Cleaning/Data_Cleaning.html b/modules/Data_Cleaning/Data_Cleaning.html
index cf17236cf..a8187e5c4 100644
--- a/modules/Data_Cleaning/Data_Cleaning.html
+++ b/modules/Data_Cleaning/Data_Cleaning.html
@@ -206,7 +206,7 @@ 

  • The lubridate package is helpful for dates and times
    📃Cheatsheet
  • -

    Data Cleaning

    +

    Data Cleaning

    In general, data cleaning is a process of investigating your data for inaccuracies, or recoding it in a way that makes it more manageable.

    @@ -227,7 +227,7 @@

  • Inf and -Inf - Infinity, happens when you divide a positive number (or negative number) by 0.
  • -

    Finding Missing data

    +

    Finding Missing data

    • is.na - looks for NAN and NA
    • @@ -253,7 +253,7 @@

      [1] FALSE FALSE  TRUE
      -

    Useful checking functions

    +

    Useful checking functions

    • any will be TRUE if ANY are true @@ -405,7 +405,7 @@

      df <-tibble(Dog = c(0, NA, 2, 3, 1, 1), 
                   Cat = c(NA, 8, 6, NA, 2, NA))
      -

    filter() and missing data

    +

    filter() and missing data

    df
    @@ -471,7 +471,7 @@

    1 2 6 2 1 2
    -

    Drop columns with any missing values

    +

    Drop columns with any missing values

    Use the miss_var_which() function from naniar

    @@ -492,7 +492,7 @@

    [1] "Dog" "Cat"
    -

    Drop columns with any missing values

    +

    Drop columns with any missing values

    miss_var_which and function from naniar (need a data frame)

    @@ -555,7 +555,7 @@

    ⚠️ You might want to keep the NA values so that you know the original sample size.

    -

    Word of caution

    +

    Word of caution

    ⚠️ Calculating percentages will give you a different result depending on your choice to include NA values.!

    @@ -1422,7 +1422,7 @@

    4 2 4 2 50% 5 3 3 4 100% -

    Removing columns with threshold of percent missing values

    +

    Removing columns with threshold of percent missing values

    is.na(df) %>% head(n = 3)
    diff --git a/modules/Data_Summarization/Data_Summarization.html b/modules/Data_Summarization/Data_Summarization.html index e5b37aa95..10e2188f9 100644 --- a/modules/Data_Summarization/Data_Summarization.html +++ b/modules/Data_Summarization/Data_Summarization.html @@ -248,7 +248,7 @@

      0%  25%  50%  75% 100% 
      1.0  2.5  4.5  6.5  8.0 
    -

    Statistical summarization

    +

    Statistical summarization

    We will talk more about data types later, but you can only do summarization on numeric or logical types. Not characters.

    @@ -6051,7 +6051,7 @@

    16 2014 334 15.7 17 2015 577 15.2 -

    Counting

    +

    Counting

    count(), table(), and n() can all give very similar information.

    diff --git a/modules/Data_Visualization/Data_Visualization.html b/modules/Data_Visualization/Data_Visualization.html index 8b319476a..3391c9a3c 100644 --- a/modules/Data_Visualization/Data_Visualization.html +++ b/modules/Data_Visualization/Data_Visualization.html @@ -971,7 +971,7 @@

    ggplotly(rp_fac_plot)
    - +

    Also check out the ggiraph package

    diff --git a/modules/Factors/Factors.html b/modules/Factors/Factors.html index 3c8798304..3f5dbaf85 100644 --- a/modules/Factors/Factors.html +++ b/modules/Factors/Factors.html @@ -244,7 +244,7 @@

    ## [1] yellow red    red    blue   yellow blue  
     ## Levels: blue red yellow
    -

    A Factor Example

    +

    A Factor Example

    We will use data on student dropouts from the State of California during the 2016-2017 school year. More on this data can be found here: https://www.cde.ca.gov/ds/ad/filesdropouts.asp

    @@ -422,7 +422,7 @@

    Now that’s more like it! Notice how the data is automatically plotted in the order we would like.

    -

    What about if we arrange() the data by grade ?

    +

    What about if we arrange() the data by grade ?

    Character data is arranged alphabetically.

    @@ -446,7 +446,7 @@

    Notice that the order is not what we would hope for!

    -

    Arranging Factors

    +

    Arranging Factors

    Factor data is arranged by level.

    @@ -502,7 +502,7 @@

    ## 3 Junior 2 ## 4 Senior 13 -

    forcats for ordering

    +

    forcats for ordering

    What if we wanted to order grade by increasing n_dropouts?

    @@ -517,7 +517,7 @@

    This would be useful for identifying easily which grade to focus on.

    -

    forcats for ordering

    +

    forcats for ordering

    We can order a factor by another variable by using the fct_reorder() function of the forcats package.

    @@ -552,7 +552,7 @@

    ## 5 15633216009179 Junior 0 4 ## 6 33670330113647 Sophomore 0 0 -

    Plotting new variable

    +

    Plotting new variable

    Now let’s plot each of our variables of interest (n_dropouts and tardy) on the y axis and grade on the x axis. Let’s arrange grade by the amount of each.

    diff --git a/modules/Functions/Functions.html b/modules/Functions/Functions.html index 41bc22a42..6132d0d78 100644 --- a/modules/Functions/Functions.html +++ b/modules/Functions/Functions.html @@ -207,26 +207,52 @@

    [1] 20
    +

    Writing your own functions

    + +

    The general syntax for a function is:

    + +
    functionName <- function(inputs) {
    + <function body>
    +return(value)
    +}
    +

    Writing your own functions: return

    If we want something specific for the function’s output, we use return():

    -
    times_2 <- function(x) {
    -  output <- x * 2
    +
    times_2_plus_4 <- function(x) {
    +  output_int <- x * 2
    +  output <- output_int + 4
       return(output)
     }
    -times_2(x = 10)
    +times_2_plus_4(x = 10)
    -
    [1] 20
    +
    [1] 24
    -

    Writing your own functions

    +

    Writing your own functions: print intermediate steps

    -

    The general syntax for a function is:

    +
      +
    • printed results do not stay around but can show what a function is doing
    • +
    • returned results stay around
    • +
    • can only return one result but can print many
    • +
    -
    functionName <- function(inputs) {
    - <function body>
    -return(value)
    -}
    +

    Adding print

    + +
    times_2_plus_4 <- function(x) {
    +  output_int <- x * 2
    +  output <- output_int + 4
    +  print(paste("times2 result = ", output_int))
    +  return(output)
    +}
    +
    +result <-times_2_plus_4(x = 10)
    + +
    [1] "times2 result =  20"
    + +
    result
    + +
    [1] 24

    Writing your own functions: multiple inputs

    @@ -237,6 +263,21 @@

    [1] 23
    +

    Writing your own functions: multiple outputs

    + +

    Functions can have one returned result with multiple outputs.

    + +
    x_and_y_plus_2<- function(x, y){
    +    output1 <- x + 2
    +    output2 <- y + 2
    +
    +return(c(output1,output2))
    +}
    +result <-x_and_y_plus_2(x = 10, y = 3)
    +result
    + +
    [1] 12  5
    +

    Writing your own functions: defaults

    Functions can have “default” arguments. This lets us use the function without using an argument later:

    @@ -289,16 +330,22 @@

    We can use filter(row_number()==n) to extract a row of a tibble:

    -
    cars <- read_kaggle()
    +
    get_row <- function(dat, row) dat %>% filter(row_number() == row)
     
    -get_row <- function(dat, row) dat %>% filter(row_number() == row)
    +cars <- read_kaggle() +cars <- cars %>% select(1:8)
    get_row(dat = cars, row = 10)
    -
    # A tibble: 1 × 10
    -  RefId IsBadBuy PurchDate Auction VehYear VehicleAge Make  Model Trim  SubModel
    -  <dbl>    <dbl> <chr>     <chr>     <dbl>      <dbl> <chr> <chr> <chr> <chr>   
    -1    10        0 12/7/2009 ADESA      2007          2 FORD  FIVE… SEL   4D SEDA…
    +
    # A tibble: 1 × 8
    +  RefId IsBadBuy PurchDate Auction VehYear VehicleAge Make  Model       
    +  <dbl>    <dbl> <chr>     <chr>     <dbl>      <dbl> <chr> <chr>       
    +1    10        0 12/7/2009 ADESA      2007          2 FORD  FIVE HUNDRED
    + +
    get_row(dat = iris, row = 4)
    + +
      Sepal.Length Sepal.Width Petal.Length Petal.Width Species
    +1          4.6         3.1          1.5         0.2  setosa

    Functions for tibbles

    @@ -307,7 +354,7 @@

    get_index <- function(dat, row, col) {
       dat %>%
         filter(row_number() == row) %>%
    -    select(col)
    +    select(all_of(col))
     }
     
     get_index(dat = cars, row = 10, col = 8)
    @@ -324,7 +371,7 @@

    get_top <- function(dat, row = 1, col = 1) {
       dat %>%
         filter(row_number() == row) %>%
    -    select(col)
    +    select(all_of(col))
     }
     
     get_top(dat = cars)
    @@ -334,15479 +381,86 @@

    <dbl> 1 1 -

    Using your custom functions: sapply()

    +

    Functions on multiple columns

    + +

    Using your custom functions: sapply()- a base R function

    Now that you’ve made a function… You can “apply” functions easily with sapply()!

    These functions take the form:

    -
    sapply(<a vector or list>, some_function)
    +
    sapply(<a vector, list, data frame>, some_function)
    -

    Using your custom functions: sapply()

    +

    Using your custom functions: sapply()

    🚨 There are no parentheses on the functions! 🚨

    -
    sapply(cars, class)
    - -
                                RefId                          IsBadBuy 
    -                        "numeric"                         "numeric" 
    -                        PurchDate                           Auction 
    -                      "character"                       "character" 
    -                          VehYear                        VehicleAge 
    -                        "numeric"                         "numeric" 
    -                             Make                             Model 
    -                      "character"                       "character" 
    -                             Trim                          SubModel 
    -                      "character"                       "character" 
    -                            Color                      Transmission 
    -                      "character"                       "character" 
    -                      WheelTypeID                         WheelType 
    -                      "character"                       "character" 
    -                           VehOdo                       Nationality 
    -                        "numeric"                       "character" 
    -                             Size              TopThreeAmericanName 
    -                      "character"                       "character" 
    -MMRAcquisitionAuctionAveragePrice   MMRAcquisitionAuctionCleanPrice 
    -                      "character"                       "character" 
    - MMRAcquisitionRetailAveragePrice     MMRAcquisitonRetailCleanPrice 
    -                      "character"                       "character" 
    -    MMRCurrentAuctionAveragePrice       MMRCurrentAuctionCleanPrice 
    -                      "character"                       "character" 
    -     MMRCurrentRetailAveragePrice        MMRCurrentRetailCleanPrice 
    -                      "character"                       "character" 
    -                        PRIMEUNIT                          AUCGUART 
    -                      "character"                       "character" 
    -                            BYRNO                            VNZIP1 
    -                        "numeric"                         "numeric" 
    -                             VNST                          VehBCost 
    -                      "character"                         "numeric" 
    -                     IsOnlineSale                      WarrantyCost 
    -                        "numeric"                         "numeric" 
    - -

    Using your custom functions: sapply()

    - -
    sapply(pull(cars, VehOdo), times_2_plus_y)
    - -
        [1] 178095 187189 147617 131237 138737 162111 130659 131613  99845 169747
    -   [11] 160163 150841 158633 142511 149447 144267 161475 150315 131853 168999
    -   [21] 109175 133075 196263 119581 131329 104215 177919 152349 130789 160131
    -   [31] 155391 112603 156485 115449 156871 165891 152611 111425 153175 130159
    -   [41] 130809 173781 137983 161901 105551 144385 119719 159155 146585 100457
    -   [51] 164295 116051  81841 175289 161939 100619 161593 124481 174019 128123
    -   [61] 155357 117779 127117 180055 179413 129025 151029 161219 191119  71595
    -   [71] 167005 140299 152107 144961 169087 122165 172969  87799 114679 118853
    -   [81] 159917 157121  96775 160237 131593 102293 176735 111821 173407 162851
    -   [91] 130761 149911  98659 147623  86827 156827 148055 129647 160985 170009
    -  [101] 131425 112131 124463 124383 134855 151615 177985 179701 162679 160157
    -  [111] 154469 133365 165055 163863 148265 144837 128239 142849 129303 170779
    -  [121] 190889 138677  93129 169813 142127 162001 133093 135573 143907 141485
    -  [131] 188639 138883 108539 118147 172059 129357 137751 129111 147979  47765
    -  [141] 101067 121111 183119 126757 118785  88737  89033 166479 185067 136333
    -  [151] 175553 172831  72287 161579 186695 147929 136369 129681 150971 118577
    -  [161] 126305  93393 117797 130729 150477 170087 175405 185635 194445 147455
    -  [171]  95103 126161 128131 176057 164331 169529 104229  99789 185567  92005
    -  [181] 125983 157987 128919 121047 147453 142431 121063 133393 178063  72853
    -  [191] 117649 145187 158033 177337 117001 190053 101291 177667 136083 116771
    -  [201] 158571 161815 188025 173753 122641 158669 185797 119605 150219 135395
    -  [211] 100773 116903 150143 147743  87073 111369 117365 125593 154359 138863
    -  [221] 172935 138963 172691 158063 189015 155575 134863 146821 120405  98595
    -  [231] 122633 168911 170527 145989 179541 137103 125913 150205 176349 105585
    -  [241] 170671 138063 129113 132869 154103 168779 105735  91363 126995 157189
    -  [251] 186793 106929 166165 146321 150317 147035 130921 185587 164545 177449
    -  [261] 144043 154763 101549 117861 159799 183549 124545 133139 126161 164319
    -  [271] 120683 185951 149943 124469 158165 111515 107287 147665 177059 188145
    -  [281]  77677 178889 195165 171791 105553 107091 136691 159419 158707 142457
    -  [291]  87593 159975 147279 149397 168701 139807 141049 127819 107471 102579
    -  [301]  83029 142013  77037 101101 149079 153793 128449 155107 182159 144577
    -  [311] 173003 143517 185733 159513 189799 172905 148549 159467  95113 184967
    -  [321] 176087 196633 164891 195189 109395 122371 142319 160243 154273 188409
    -  [331]  98819  65429 160891 121121 178907 194643 126915 174929 182145 140061
    -  [341] 125695  88565 120123 105055 170087 166273 214677 153799 139311 148377
    -  [351] 152017 151759  88877 175681 164495 132567 176803 153303 121775 151883
    -  [361] 112081  98197 102257 155397 144435 172009  94041 133503 152733 196719
    -  [371] 140647 178203 143087 146807 195807  65345 178837  71313  81821 141739
    -  [381] 102253 172685 108845 100915 163295 154565 123227 155725 153321 113701
    -  [391] 169497 144183 165643 160685 215623 220113 133419 109523 147989 135593
    -  [401] 143173 150065 165237 124635 161795 150301 153427 162421 109583 172945
    -  [411] 169929 158187 142457  51663 128281 128817 185077 135491 194695 190113
    -  [421] 127891 165427 164023 140473 133401 172993 104987 125061 136949  81115
    -  [431] 139895 163719 163673 171261 106587 161065 147155 123051 128765 164017
    -  [441] 191317  95327 140431 178483 179503  91189 101223 111691 124217 116409
    -  [451] 131425 176709 155359 124427 152607 147465 183779  92477 137643 119271
    -  [461] 140853 127525 176355 151029 122255 148271 141579 125679 151273 194035
    -  [471] 139945 126061 161415  99591 158873 113355 136777 112187 176147 102433
    -  [481] 148163 109119 144073 120121 111975 133159 163727 147389 109047 154915
    -  [491] 108583 157019 127421 146769 108141 181289 138817 156215  89437 128115
    -  [501] 156559 175749 183663 173719 157721 157667 115169 128875 132427 157235
    -  [511] 107575 185757 173627 164767 127515 145339 156429 165981 117797 149691
    -  [521] 127467 147379 145701 174921 191555 149269 106329 143621 121689  78783
    -  [531] 142213 148031 151225 114003 112583 133191 140451  99863 161181 114869
    -  [541] 123715 131233 167251 163305 144467  83707 121543 156835 157241 172367
    -  [551] 167223 162707 112581 134471 149231 134817 176389 176529 102049 170731
    -  [561] 137359 148627 128987 110795 172519 162053 147081 113871 133103  69557
    -  [571] 109791 101673  87397 131263  80761 130133 137801 166355 119999 114163
    -  [581] 167129 141679 145101 122505 150815 167409 161679 158043 123873  88369
    -  [591] 160609 127551 111457 117255 177403 112521 158659  85119 169329 144321
    -  [601] 176343 165131 122953 139937 131825  93299 188907 131961 149983 174691
    -  [611] 158279 141471 136749 116759 119485 195257 175787 152409 139717 151967
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    -[72081] 141999 180525 192707 157651 160587 151953 151775 195645 147563 150821
    -[72091] 108805 173531 194941 185259 153323 176601 122289 175181 157077 157895
    -[72101] 154403 185851 180603 137027 183385 121325 143211 115555 179755 167215
    -[72111] 166331 116427 105979 207167 168577 120383  79693 162523 155239 112781
    -[72121]  73787 113109 147377 157701 183969 137259 124343 176825 181415 168299
    -[72131] 141701 114709 157593 124733 117501 154031 152473 117141 150167 130119
    -[72141] 136689 173863 148097 104291 104941 151979 151857 138317 143521 175819
    -[72151] 184579 139171 143007 155057 100213 176781 174817 188901 134899 193819
    -[72161] 184597 119293 119361 171611 186323 129711 179295 148635 183821 129759
    -[72171] 166499  97363 170877 143947 104673 178551 155409  87333 195201 156915
    -[72181] 155549 151315 128889 128713 150017  95043 116299 151023 195283 166585
    -[72191] 134877 132689 128303 118489 159157 168733 130937 130013 139509 127281
    -[72201] 171513 156831 137303 154419 161489 175209 177345  89609 131961 179149
    -[72211]  67621 171517 180765 158467 175227 180503 160549 164883 172647 192231
    -[72221] 162221 155043  89455 162271 155987 140461 181481 186371 172333 149677
    -[72231] 148793 157569 169459 130637 184687 129921 172641 165911 156369 119759
    -[72241] 166187 154071 149749 173519 155805 126045 170617 130395 181411 157263
    -[72251] 139121 174733 167543 189365 115423 135009 171865 106653 166515 194725
    -[72261] 150261 170583 181169 125243 180771 171771 148297 190389 151229 155231
    -[72271] 154635 155055 187659 160823 189467 135965 155785 171245 172231 191667
    -[72281] 188019 173365 168691 191445 169489 152357 196275 168299 181849 184021
    -[72291] 122905 136921 192711 164833 173669 192069 125787 155267 174237 172325
    -[72301] 150053 145829 150019 170879 165857  98623 129241 180631 173979 168445
    -[72311] 173927 159941 174577 151623 120933 181951 172595 153521 146237 148421
    -[72321] 161617 170703 135563 198773 150661 144709 160723 174669 181751 180257
    -[72331] 180423 142133 218523 196197 201825 139393 143417 194857 175983 160749
    -[72341] 182967 125949 164115 111379 190437 206947 152445 205439 217277 106269
    -[72351] 179545 206359 182437 153167 198139 168223 173553 197659 153741 163231
    -[72361] 212795 218801 184529 154913 173357 176487 195743 157651 206487 210629
    -[72371] 167591 181351 186847 192749 147395 133421 177999 154347 214411 204239
    -[72381] 177949 177107 204373 207671 184857 157157 182679 170989 117647 120583
    -[72391] 122941 138495 128835 182125 149083 140739 105037  69803 144821 145913
    -[72401]  33669 105233 118075 132993 130217 153849 100283 108145 123903  73481
    -[72411] 116097  69627 103981 167217 114055 115811 103107 127915  60619 144245
    -[72421] 149365 124639 166977 173301 164585 125161  98333 134023 171757 143569
    -[72431] 101987 166065 175847 136277 150695 124679 143597 150555  65463 161309
    -[72441] 119771 168503 145579 158275 133531 154923 150021 157199 151339 148063
    -[72451] 190005 150163 159881 138601 161409 116361 136767 118571  83895 146653
    -[72461] 164683 152409 151967 134301 140993 170033  95865 123229 161781 141741
    -[72471] 126747 148973 125987  97501 135763 107937 129333 121323 158119 163285
    -[72481] 139441 170441 148475 171427 150271 134553 136695 151063 146237 125435
    -[72491] 150443 135879 148603 136809 157483 148861 105135 114751 138561 175543
    -[72501] 123667 147691 147479 146545 142447  81071 129631 110403 173359 113085
    -[72511]  93297 103135 151903 150387 139689 126129 171547 134503 131961 106933
    -[72521] 163347 135485 138277 165547 151417 138245 158121 151563 118213 155955
    -[72531] 176243 182717 157289 186631 143247 154259 178387 158659 138025 146933
    -[72541] 113231 112433 134693 172871 174055 175137 119431 154677 120485 177021
    -[72551] 113871 124349 144263 133505 152921 144097 189709 175369 138941 140955
    -[72561] 172363 108227 122455 150163 171445 184947 180863 141843 128487 147971
    -[72571] 110941 125961 139385 175999 142413 146745 117059 167931 162079 177011
    -[72581] 138059 170875 148905 112189 199299 135307 126899 139783 125597 143163
    -[72591] 167467 156261 130307 160871 101203 185529 149411 152135 117789 152285
    -[72601] 164449 134607 116001 141863 190947 178691 122549 162007 143315 177541
    -[72611] 167143 134153 130389 160457 160953 115441 164603 171463 177435 107763
    -[72621] 132897 129771 111923 104279 146129 137811 141217 149297 144707 156801
    -[72631] 131187 194085 142097 149103 168249 146309 161677 151313 123827 153057
    -[72641] 125867  76887 133093 136321 121769 157651 138297 175923 113733 180511
    -[72651] 150021 155955 118105 149603 139141 180821 173521 177541 128739 114885
    -[72661] 158181 137183 102465 130095  87743 154991 152091 160579 141041 151473
    -[72671] 137783 146409 152647 151441 151405 106917 120241 182647 164027 157979
    -[72681] 139825 113709 175569 174269 159929 157245 174485 161127  90941 149293
    -[72691] 173101 154719 148391 175925 182227 168165 110687 174873 173815 193763
    -[72701] 176887 138723 175455 108567 117913 157085 214185 114205 163773  69059
    -[72711] 113715 136603 149469 131893 184503 154359 158399 173743 166359 154433
    -[72721] 174153 175781 111519  88151 153915 110051 168813 144799 148805 126423
    -[72731] 162769 165039  46657 130555 163713 177661 169101 111325 134809 162753
    -[72741] 122217 171787 142413 158827 162549 157351 154785 148443 153361 155691
    -[72751] 152669 170621 133863 159217 141793 134331 135543 112611 169405  93267
    -[72761] 172737 138617 126221 191451 169885 167641 169661 191107 121435 141735
    -[72771] 139161 159409 106049 167699 164827 176901 124779  92517 145927 165403
    -[72781] 135493 178669 121299 151837 167903 122503 169565 155319 179309 169301
    -[72791] 151993 155297 133365 155783 157423 172527 143091 103843 138845 118421
    -[72801] 131695 169625 193855 164175 142193 165525 169949 143101 142125 174543
    -[72811] 133361  93325 108883 116771 125155 142689 156913 151951 162851 156637
    -[72821] 159993 171755 180371 141405 133681 178435 180799 120345 144407  73153
    -[72831] 195349 107503 145835 151857 153927 105341 161707 120633 168955 174501
    -[72841] 144661 169615 176973 157393 146165 147787 133455 179485 158351 172459
    -[72851] 110193 179533 150021 128283 143097 112273 147083 151185 103325 149937
    -[72861] 142841 129799 148323 175741 152333 170333 128647 152323 103927 161383
    -[72871]  50369 154817 128843 119261 118713 119641 152209 147813 130973 151489
    -[72881] 198215 112645 165623 181197 155943 166997 150899 121375 183877 172059
    -[72891] 185555 142085 178435 144259 116379 153773 151853 170607 137175 127437
    -[72901] 136233 167427 161381 197259 174477 123795 125499 130919 178727 113553
    -[72911] 135625 149997 133493 143847 179493 136855 158697 137029  94229 101311
    -[72921] 175267  67373 139091 166363 106267 150227 135471 153561 149577  99483
    -[72931]  98581  92717 126571 163591  98141 161923 138017 166991 141409 124459
    -[72941]  85165 150199 175833 145109 193277 144451 128043  96897 162809 154501
    -[72951] 149729 121101 165139 129983 129695 120151 123845 170757 168339 148305
    -[72961] 145607 179333 118769 151403 140011 142699  97287 114891 138199 152785
    -[72971] 122043  89247 139885 136257 187491 148817 165129 130801  90471 143521
    -[72981] 177003 159111 133713
    +

    You can also pipe into your function.

    + +
    head(iris, n = 2)
    + +
      Sepal.Length Sepal.Width Petal.Length Petal.Width Species
    +1          5.1         3.5          1.4         0.2  setosa
    +2          4.9         3.0          1.4         0.2  setosa
    + +
    sapply(iris, class)
    + +
    Sepal.Length  Sepal.Width Petal.Length  Petal.Width      Species 
    +   "numeric"    "numeric"    "numeric"    "numeric"     "factor" 
    + +
    iris %>% sapply(class)
    + +
    Sepal.Length  Sepal.Width Petal.Length  Petal.Width      Species 
    +   "numeric"    "numeric"    "numeric"    "numeric"     "factor" 
    + +

    Using your custom functions: sapply()

    + +
    select(cars, VehYear:VehicleAge) %>% head()
    + +
    # A tibble: 6 × 2
    +  VehYear VehicleAge
    +    <dbl>      <dbl>
    +1    2006          3
    +2    2004          5
    +3    2005          4
    +4    2004          5
    +5    2005          4
    +6    2004          5
    + +
    select(cars, VehYear:VehicleAge) %>% sapply(times_2) %>% head()
    + +
         VehYear VehicleAge
    +[1,]    4012          6
    +[2,]    4008         10
    +[3,]    4010          8
    +[4,]    4008         10
    +[5,]    4010          8
    +[6,]    4008         10

    Using your custom functions “on the fly” to iterate

    -
    sapply(pull(cars, VehOdo), function(x) x / 1000)
    - -
        [1]  89.046  93.593  73.807  65.617  69.367  81.054  65.328  65.805  49.921
    -   [10]  84.872  80.080  75.419  79.315  71.254  74.722  72.132  80.736  75.156
    -   [19]  65.925  84.498  54.586  66.536  98.130  59.789  65.663  52.106  88.958
    -   [28]  76.173  65.393  80.064  77.694  56.300  78.241  57.723  78.434  82.944
    -   [37]  76.304  55.711  76.586  65.078  65.403  86.889  68.990  80.949  52.774
    -   [46]  72.191  59.858  79.576  73.291  50.227  82.146  58.024  40.919  87.643
    -   [55]  80.968  50.308  80.795  62.239  87.008  64.060  77.677  58.888  63.557
    -   [64]  90.026  89.705  64.511  75.513  80.608  95.558  35.796  83.501  70.148
    -   [73]  76.052  72.479  84.542  61.081  86.483  43.898  57.338  59.425  79.957
    -   [82]  78.559  48.386  80.117  65.795  51.145  88.366  55.909  86.702  81.424
    -   [91]  65.379  74.954  49.328  73.810  43.412  78.412  74.026  64.822  80.491
    -  [100]  85.003  65.711  56.064  62.230  62.190  67.426  75.806  88.991  89.849
    -  [109]  81.338  80.077  77.233  66.681  82.526  81.930  74.131  72.417  64.118
    -  [118]  71.423  64.650  85.388  95.443  69.337  46.563  84.905  71.062  80.999
    -  [127]  66.545  67.785  71.952  70.741  94.318  69.440  54.268  59.072  86.028
    -  [136]  64.677  68.874  64.554  73.988  23.881  50.532  60.554  91.558  63.377
    -  [145]  59.391  44.367  44.515  83.238  92.532  68.165  87.775  86.414  36.142
    -  [154]  80.788  93.346  73.963  68.183  64.839  75.484  59.287  63.151  46.695
    -  [163]  58.897  65.363  75.237  85.042  87.701  92.816  97.221  73.726  47.550
    -  [172]  63.079  64.064  88.027  82.164  84.763  52.113  49.893  92.782  46.001
    -  [181]  62.990  78.992  64.458  60.522  73.725  71.214  60.530  66.695  89.030
    -  [190]  36.425  58.823  72.592  79.015  88.667  58.499  95.025  50.644  88.832
    -  [199]  68.040  58.384  79.284  80.906  94.011  86.875  61.319  79.333  92.897
    -  [208]  59.801  75.108  67.696  50.385  58.450  75.070  73.870  43.535  55.683
    -  [217]  58.681  62.795  77.178  69.430  86.466  69.480  86.344  79.030  94.506
    -  [226]  77.786  67.430  73.409  60.201  49.296  61.315  84.454  85.262  72.993
    -  [235]  89.769  68.550  62.955  75.101  88.173  52.791  85.334  69.030  64.555
    -  [244]  66.433  77.050  84.388  52.866  45.680  63.496  78.593  93.395  53.463
    -  [253]  83.081  73.159  75.157  73.516  65.459  92.792  82.271  88.723  72.020
    -  [262]  77.380  50.773  58.929  79.898  91.773  62.271  66.568  63.079  82.158
    -  [271]  60.340  92.974  74.970  62.233  79.081  55.756  53.642  73.831  88.528
    -  [280]  94.071  38.837  89.443  97.581  85.894  52.775  53.544  68.344  79.708
    -  [289]  79.352  71.227  43.795  79.986  73.638  74.697  84.349  69.902  70.523
    -  [298]  63.908  53.734  51.288  41.513  71.005  38.517  50.549  74.538  76.895
    -  [307]  64.223  77.552  91.078  72.287  86.500  71.757  92.865  79.755  94.898
    -  [316]  86.451  74.273  79.732  47.555  92.482  88.042  98.315  82.444  97.593
    -  [325]  54.696  61.184  71.158  80.120  77.135  94.203  49.408  32.713  80.444
    -  [334]  60.559  89.452  97.320  63.456  87.463  91.071  70.029  62.846  44.281
    -  [343]  60.060  52.526  85.042  83.135 107.337  76.898  69.654  74.187  76.007
    -  [352]  75.878  44.437  87.839  82.246  66.282  88.400  76.650  60.886  75.940
    -  [361]  56.039  49.097  51.127  77.697  72.216  86.003  47.019  66.750  76.365
    -  [370]  98.358  70.322  89.100  71.542  73.402  97.902  32.671  89.417  35.655
    -  [379]  40.909  70.868  51.125  86.341  54.421  50.456  81.646  77.281  61.612
    -  [388]  77.861  76.659  56.849  84.747  72.090  82.820  80.341 107.810 110.055
    -  [397]  66.708  54.760  73.993  67.795  71.585  75.031  82.617  62.316  80.896
    -  [406]  75.149  76.712  81.209  54.790  86.471  84.963  79.092  71.227  25.830
    -  [415]  64.139  64.407  92.537  67.744  97.346  95.055  63.944  82.712  82.010
    -  [424]  70.235  66.699  86.495  52.492  62.529  68.473  40.556  69.946  81.858
    -  [433]  81.835  85.629  53.292  80.531  73.576  61.524  64.381  82.007  95.657
    -  [442]  47.662  70.214  89.240  89.750  45.593  50.610  55.844  62.107  58.203
    -  [451]  65.711  88.353  77.678  62.212  76.302  73.731  91.888  46.237  68.820
    -  [460]  59.634  70.425  63.761  88.176  75.513  61.126  74.134  70.788  62.838
    -  [469]  75.635  97.016  69.971  63.029  80.706  49.794  79.435  56.676  68.387
    -  [478]  56.092  88.072  51.215  74.080  54.558  72.035  60.059  55.986  66.578
    -  [487]  81.862  73.693  54.522  77.456  54.290  78.508  63.709  73.383  54.069
    -  [496]  90.643  69.407  78.106  44.717  64.056  78.278  87.873  91.830  86.858
    -  [505]  78.859  78.832  57.583  64.436  66.212  78.616  53.786  92.877  86.812
    -  [514]  82.382  63.756  72.668  78.213  82.989  58.897  74.844  63.732  73.688
    -  [523]  72.849  87.459  95.776  74.633  53.163  71.809  60.843  39.390  71.105
    -  [532]  74.014  75.611  57.000  56.290  66.594  70.224  49.930  80.589  57.433
    -  [541]  61.856  65.615  83.624  81.651  72.232  41.852  60.770  78.416  78.619
    -  [550]  86.182  83.610  81.352  56.289  67.234  74.614  67.407  88.193  88.263
    -  [559]  51.023  85.364  68.678  74.312  64.492  55.396  86.258  81.025  73.539
    -  [568]  56.934  66.550  34.777  54.894  50.835  43.697  65.630  40.379  65.065
    -  [577]  68.899  83.176  59.998  57.080  83.563  70.838  72.549  61.251  75.406
    -  [586]  83.703  80.838  79.020  61.935  44.183  80.303  63.774  55.727  58.626
    -  [595]  88.700  56.259  79.328  42.558  84.663  72.159  88.170  82.564  61.475
    -  [604]  69.967  65.911  46.648  94.452  65.979  74.990  87.344  79.138  70.734
    -  [613]  68.373  58.378  59.741  97.627  87.892  76.203  69.857  75.982  97.399
    -  [622]  95.864  53.035  76.322  61.538  74.655  82.543  62.602  80.135  62.070
    -  [631]  77.870  81.270  60.403  81.495  92.263  90.703  71.142  77.246  97.341
    -  [640]  34.858  88.379  34.095  61.966  70.295  86.204  52.257  74.734  83.066
    -  [649]  73.525  74.398  71.158  83.292  80.228  81.188  86.677  42.835  60.885
    -  [658]  98.674  82.121  89.062  70.786  80.195  77.890  54.557  92.589  48.508
    -  [667]  48.952  70.735  86.168  80.814  61.239  75.399  71.094  84.685  66.455
    -  [676]  74.481  74.145  71.220  79.419  92.219  63.376  56.542  80.361  49.688
    -  [685]  65.259  71.965  82.343  80.503  83.528  64.470  61.889  96.902  83.285
    -  [694]  78.035  65.743  57.728  83.246  87.641  63.518  98.507  40.593  94.719
    -  [703]  62.735  65.367  86.215  73.323  61.703  57.128  97.543  69.022  60.947
    -  [712]  73.976  56.391  76.192  63.260  68.048  67.223  78.244  83.560  62.605
    -  [721]  81.155  64.126  77.072  74.780  51.122  71.671  95.552  64.238  77.652
    -  [730]  86.122  52.863  61.996  59.477  91.720  65.535  70.040  72.222  80.584
    -  [739]  81.645  79.547  75.091  80.347  71.489  81.627  46.778  83.248  58.938
    -  [748]  94.019  62.801  84.631  82.994  86.575  73.253  83.091  81.264  73.344
    -  [757]  57.103  83.667  74.214  51.764  49.017  80.959  76.263  74.618  75.777
    -  [766]  74.948  57.740  64.979  91.080  73.308  89.102  59.084  67.007  76.746
    -  [775]  67.375  40.307  86.702  60.267  70.819  69.734  65.042  75.861  73.496
    -  [784]  85.836  65.215  96.160  83.241  71.074  90.030  86.497  85.383  69.072
    -  [793]  84.788  82.401  69.509  85.621  70.424  58.482  87.192  85.009  45.864
    -  [802]  94.287  86.024  80.130  68.414  82.187  73.953  70.971  55.624  64.495
    -  [811]  69.878 103.035  58.074  66.151  69.215  83.752  48.895  41.894  67.835
    -  [820]  89.858  69.424  40.658  49.060  87.256  61.962  81.449  65.954  58.726
    -  [829]  54.912  95.298  81.605  67.131  70.573  66.170  83.126  90.938  59.764
    -  [838]  61.817  91.082  31.845  62.642  96.216  71.672  73.498  55.135  44.405
    -  [847]  69.289  62.905  73.179  83.465  73.628  62.571  59.000  74.015  83.837
    -  [856]  78.348  66.653  88.324  62.269  52.531  78.991  81.872  57.950  71.607
    -  [865]  74.428  67.821  85.909  65.035  73.665  86.421  73.730  92.236  91.828
    -  [874]  72.169  40.113  84.500  63.232  74.114  76.269  65.345  81.996  94.174
    -  [883]  72.070  86.710  71.367  66.730  52.501  84.329  77.035  78.697  63.589
    -  [892]  79.346  72.544  74.455  81.212  85.376  57.804  70.385  69.471  78.035
    -  [901]  74.416  57.032  52.656  86.988  61.296  88.084  73.643  50.595  71.669
    -  [910]  73.478  55.983  82.456  86.439  69.137  87.512  81.727  62.888  74.787
    -  [919]  47.866  69.177  89.305  69.191  62.845  89.243  40.236  92.402  89.383
    -  [928]  42.870  74.296  78.224  66.256  77.885  93.730  75.447  87.142  87.408
    -  [937]  60.442  90.667  75.719  77.621  95.298  47.120  53.554  82.202  50.515
    -  [946]  65.572  46.615  78.900  72.444  57.694  49.928  75.500  80.098  79.107
    -  [955]  59.007  70.519  64.344  56.510  41.522  80.811  70.925  66.309  79.687
    -  [964]  81.712  78.107  41.877  62.006  87.274  51.656  78.724  68.134  83.549
    -  [973]  50.870  96.257  79.345  98.027  65.614  85.139  48.898  82.541  68.585
    -  [982]  72.383  80.188  35.790  55.961  63.353  65.957  75.763  74.434  58.607
    -  [991]  77.077  64.734  71.823  69.844  89.196  39.467  66.801  44.397  83.012
    - [1000]  87.227  65.890  65.237  79.056  76.708  59.237  74.010  65.841  61.134
    - [1009]  81.858  95.978  69.119  76.909  70.171  75.822  57.929  75.581  74.161
    - [1018]  79.110  69.795  84.150  59.492  39.944  36.844  63.786  88.634  76.694
    - [1027]  60.644  61.019  38.055  63.765  91.893  83.709  59.050  75.976  78.200
    - [1036]  84.728  30.013  54.350  60.700  51.548  59.702  86.141  61.251  89.404
    - [1045]  80.674  46.523  80.272  82.231  59.287  73.591  66.551  72.373  87.903
    - [1054]  49.139  95.950  71.542  50.166  95.188  74.743  75.322  63.806  72.973
    - [1063]  67.860  49.058  72.988  59.279  77.418  89.156  85.716  75.230  83.474
    - [1072]  68.591  87.727  70.794  89.462  81.385  88.431  67.115  58.201  83.775
    - [1081]  72.569 109.909  72.495 107.420  62.851  89.805  94.064  78.545  88.078
    - [1090]  84.366  71.868  96.374  93.415  56.740  89.922 109.967  70.988  96.014
    - [1099]  85.930  86.166  89.132  80.355  88.391  89.458  59.807 104.861  94.813
    - [1108]  84.477  74.080 109.133 105.963  81.313  74.467  54.514  81.790  88.345
    - [1117]  90.244  61.523  72.648  65.420  72.722 104.726  70.411 107.151  88.362
    - [1126]  84.579 107.450  80.716 108.538  82.942  61.508  84.820 104.368  86.275
    - [1135]  87.165  83.073  99.060 103.219  88.344 105.350  72.725  90.378  95.048
    - [1144]  94.248  84.645  91.992  84.105  87.237  70.704  73.324  81.319  95.167
    - [1153]  90.159  77.855  93.920  82.741  88.708  78.126  96.000  75.976  82.974
    - [1162]  77.689  73.728  66.796  59.609  98.397  88.184  73.491  74.519  73.192
    - [1171]  71.705  75.261  73.721  73.244  97.563  84.914  75.653  52.811  84.993
    - [1180]  76.144  46.159  80.025  91.531  65.096  71.663  75.532  60.773  79.894
    - [1189]  79.812  65.990  91.610  75.757  91.795  75.804  66.976  90.196  55.957
    - [1198]  68.210  90.135  60.977  90.294  71.786  44.023  58.325  70.342  75.993
    - [1207]  85.320  89.302  85.717  41.336  76.249  88.717  10.643  76.632  67.513
    - [1216]  67.007  22.500  95.566  79.526  62.634  81.656  71.332  70.675  41.789
    - [1225]  83.008  71.238  70.994  70.061  73.380  67.185  64.960  70.751  58.686
    - [1234]  79.688  83.055  72.693  80.658  93.865  73.767  81.389  80.766  93.689
    - [1243]  51.997  64.585  38.368  60.385  66.489  46.609  81.705  16.545  83.972
    - [1252]  39.808  58.669  73.488  35.038  53.366  63.355  37.931  88.482  60.205
    - [1261]  81.543  59.913  45.368  86.050  66.784  75.746  69.824  71.529  64.784
    - [1270]  81.710  60.179  63.315  98.042  82.278  70.975  80.736  43.661  92.464
    - [1279]  80.691  45.173  85.199  66.466  60.398  53.112  91.539  61.217  90.211
    - [1288]  72.029  42.199  33.622  49.973  69.019  76.764  79.012  43.605  94.232
    - [1297]  65.967  59.260  77.105  83.754  61.030  57.280  86.935  70.536  50.282
    - [1306]  49.105  62.924  75.919  46.823  64.470  95.415  67.062  66.976  60.171
    - [1315]  84.244  60.256  77.351  84.019  81.229  86.395  65.919  75.379  68.162
    - [1324]  85.604  76.225  61.623  71.883  69.064  39.845  77.238  74.268  79.628
    - [1333]  76.560  62.591  49.146  82.538  69.556  75.967  55.660  74.922  60.936
    - [1342]  94.406  81.951  83.523  77.019  52.021  75.671  41.300  90.066  72.840
    - [1351]  63.835  88.753  88.279  87.888  65.182  78.160  77.024  91.972  68.637
    - [1360]  91.129  87.448  75.320  93.662  61.617  87.819  52.567  72.335  73.555
    - [1369]  62.313  89.517  82.541  57.475  67.261  74.222  64.814  60.874  52.308
    - [1378]  85.805  81.150  50.504  90.972  77.486  85.431  90.047  69.129  95.708
    - [1387]  93.095  86.887  80.013  67.478 105.082  81.462  63.840  54.256  80.142
    - [1396]  67.558  83.694  87.613  94.361  78.096  72.869  90.949  64.288  92.770
    - [1405]  81.884  89.308  86.869  89.420  87.055  57.260  70.370  63.330  64.038
    - [1414]  76.316  74.188  90.892  73.282  65.926  76.239  71.125  79.265  68.084
    - [1423]  61.217  76.381  55.230  68.654  65.770  54.419  78.188  61.426  67.753
    - [1432]  60.264  56.645  70.202  78.280  56.059  75.689  84.959  82.635  66.356
    - [1441]  73.390  93.369  79.285  70.877  66.949  59.831  54.851  75.742  69.260
    - [1450]  59.189  88.953  70.863  59.598  71.229  81.069  56.924  85.869  68.556
    - [1459]  71.383  69.321  69.622  64.068  85.411  78.930  80.500  80.374  84.034
    - [1468]  68.251  76.385  63.387  80.802  68.332  82.434  77.419  70.810  75.049
    - [1477]  56.785  82.711  74.675  60.371  30.483  77.459  71.930  79.424  70.394
    - [1486]  84.695  67.979  64.053  76.617  92.896  75.939  57.740  70.898  48.850
    - [1495]  51.889  78.548  85.452  88.483  48.785  85.876  74.217  79.622  76.157
    - [1504]  80.398  79.857  70.808  73.302  55.665  84.780  42.649  64.503  70.641
    - [1513]  81.332  30.471  69.936  70.618  64.396  82.760  64.352  57.008  47.095
    - [1522]  82.505  73.692  81.068  95.547  65.473  42.162  95.645  71.581  84.395
    - [1531]  80.639  72.401  80.263  52.510  64.915  73.929  77.984  72.106  38.598
    - [1540]  72.741  72.128  70.494  30.335  82.333  86.769  59.366  62.959  83.855
    - [1549]  76.877  65.474  66.147  69.720  44.680  81.166  83.019  73.945  92.345
    - [1558]  71.949  64.503  56.113  55.687  89.543  66.371  40.764  81.341  42.944
    - [1567]  75.321  69.129  89.464  71.733  49.927  53.755  31.859  70.962  54.696
    - [1576]  40.190  82.709  72.157  69.509  77.094  48.031  70.158  62.934  85.685
    - [1585]  41.461  84.324  86.972  69.781  62.717  68.516  69.016  40.817  70.144
    - [1594]  55.490  73.461  71.268  88.148  97.482  64.005  76.683  58.547  83.892
    - [1603]  82.315  56.733  75.769  62.946  66.360  77.333  74.185  95.616  89.476
    - [1612]  78.427  73.974  70.158  90.818  50.834  14.519  77.176  87.246  71.417
    - [1621]  73.048  22.183  78.848  41.742  67.082  68.626  75.383  87.386  74.506
    - [1630]  81.667  41.344  49.276  71.364  65.755  90.067  69.642  81.797  61.158
    - [1639]  87.531  88.538  67.127  76.331  51.955  59.492  77.772  67.377  59.366
    - [1648]  64.855  79.349  92.146  54.907  81.478  59.819  79.865  54.440  75.320
    - [1657]  76.819  47.802  94.288  34.154  86.642  87.442  80.549  78.925  76.289
    - [1666]  93.796  84.907  56.416  74.177  77.022  90.429  49.829  79.604  60.485
    - [1675]  95.841  61.015  52.281  71.496  74.172  69.671  96.322  98.384  92.259
    - [1684]  90.533  65.329  81.385  42.753  75.479  42.118  87.299  59.396  33.313
    - [1693]  92.019  96.821  96.750  62.381  85.428  62.548  89.273  78.072  89.732
    - [1702]  91.770  88.401  76.465  98.067  50.528  56.715  77.616  79.416  81.461
    - [1711]  47.903  71.641  69.190  91.777  89.871  91.385  52.995  80.231  58.565
    - [1720]  71.622  48.421  75.300  86.923  67.961  89.039  69.675  70.547  82.402
    - [1729]  81.385  64.289  74.570  92.902  63.943  87.881  82.321  77.074  57.345
    - [1738]  60.058  69.012  65.364  50.164  80.884  63.265  64.617  86.604  65.235
    - [1747]  42.193  72.555  83.501  57.802  75.271  70.592  56.051  71.407  89.569
    - [1756]  56.308  73.272  76.052  87.937  82.520  88.888  77.935  81.456  82.745
    - [1765]  74.266  89.881  76.070  60.546  77.110  64.826  81.101  98.212  63.499
    - [1774]  65.406  62.134  54.336  60.789  78.299  70.088  77.207  66.287  89.828
    - [1783]  52.164  79.905  37.624  57.173  89.724  49.769  86.181  59.853  89.572
    - [1792]  96.315  88.820  75.399  62.044  90.714  77.467  93.472  76.382  53.952
    - [1801]  99.374  50.083  64.124  85.135  91.255  87.035  87.832  68.049  78.505
    - [1810]  64.824  70.595  88.581  60.453  62.474  55.140  73.410  87.837  88.730
    - [1819]  81.719  72.539  82.430  68.263  97.252  81.762  62.292  85.410  77.619
    - [1828]  70.593  58.561  72.020  71.037  66.332  80.268  64.566  85.224  50.968
    - [1837]  76.747  87.829  78.536  64.664  60.496  32.629  62.758  79.525  80.006
    - [1846]  69.267  49.949  71.803  75.900  76.469  68.552  71.327  60.951  51.978
    - [1855]  79.744  61.087  58.788  63.257  64.804  76.792  64.601  63.373  63.146
    - [1864]  78.741  41.804  85.466  59.738  57.979  72.526  71.386  70.851  88.448
    - [1873]  77.448  43.323  64.160  77.870  57.165  97.070  52.314  75.700  84.774
    - [1882]  80.560  88.032  96.037  60.935  50.656  51.296  55.544  85.833  75.547
    - [1891]  70.737  29.632  80.995  69.906  59.350  76.544  79.540  73.941  57.912
    - [1900]  71.968  90.166  41.040  81.983  87.785  57.286  72.149  81.140  34.340
    - [1909]  67.683  60.081  60.023  59.680  83.069  57.375  60.471  56.067  34.944
    - [1918]  60.958  52.825  70.963  80.336  66.811  98.433  53.977  66.827  75.781
    - [1927]  69.724  72.167  61.358  78.240  63.458  77.568  81.017  86.968  60.474
    - [1936]  61.014  75.855  53.637  60.557  57.106  96.889  70.552  75.955  80.247
    - [1945]  83.071  88.825  68.278  73.164  94.736  63.108  73.516  79.565  43.046
    - [1954]  56.742  76.548  58.220  89.956  82.116  85.021  77.951  68.069  57.465
    - [1963]  56.853  85.156  63.866  55.119  39.174  93.170  85.439  79.767  58.196
    - [1972]  78.401  54.524  41.454  71.354  74.706  53.536  74.910  78.049  75.585
    - [1981]  65.200  60.334  67.678  86.796  81.050  53.787  78.089  55.242  53.420
    - [1990]  86.499  91.685  60.003  74.102  71.273  66.536  93.117  90.634  32.110
    - [1999]  70.983  79.868  48.816  81.423  39.701  81.183  85.179  71.086  83.157
    - [2008]  76.364  44.065  79.152  76.376  94.893  41.455  67.295  80.330  87.885
    - [2017]  47.190  77.853  72.270  57.638  72.239  61.549  65.262  57.528  76.990
    - [2026]  43.979  96.983  60.733  77.783  94.094  80.350  63.673  75.321  82.110
    - [2035]  58.039  85.960  50.822  85.318  72.673  84.853  90.163  49.774  77.150
    - [2044]  87.956  81.324  80.582  73.790  52.073  65.770  83.733  92.917  50.153
    - [2053]  72.290  64.523  79.979  55.473  51.854  63.776  76.887  77.720  82.522
    - [2062]  72.753  87.745  52.223  53.411  73.726  74.441  51.844  66.838  84.456
    - [2071]  94.385  80.254  73.795  87.266  74.296  74.668  78.710  77.474  73.407
    - [2080]  69.528  87.868  98.483  76.322  80.677  94.588  66.348  90.328  59.113
    - [2089]  78.860  86.092  66.761  78.003  66.952  86.079  85.149  94.296  71.244
    - [2098]  95.259  96.962  80.695  82.128  86.520  62.394  76.389  78.534  93.923
    - [2107]  57.648  55.754  65.135  44.307  82.124  78.997  70.210  91.993  74.626
    - [2116]  76.435  79.905  79.664  73.818  80.601  73.686  85.219  57.662  74.374
    - [2125]  65.875  60.019  88.837  84.235  56.551  96.097  87.947  86.983  63.519
    - [2134]  81.643  69.484  88.485  84.386  56.256  68.323  80.439  80.919  83.022
    - [2143]  54.394  92.319  32.115  83.440  65.533  86.078  83.052  94.345  61.179
    - [2152]  73.159  75.621  86.230  87.019  67.287  70.644  41.050  77.608  73.261
    - [2161]  72.051  57.563  61.776  67.718  64.837  63.211  63.784  45.328  76.381
    - [2170]  78.134  48.352  58.144  71.165  66.006  74.027  88.238  82.383  62.430
    - [2179]  77.250  77.289  79.927  43.929  58.803  87.717  77.753  72.560  76.890
    - [2188]  58.325  62.360  70.722  66.161  67.033  79.779  58.634  59.466  73.171
    - [2197]  56.534  80.399  74.555  40.802  81.516  55.910  49.667  69.058  52.830
    - [2206]  60.477  67.032  75.639  67.620  79.056  76.301  77.449  59.574  73.090
    - [2215]  75.417  58.905  62.433  57.696  76.649  83.940  53.291  76.452  56.808
    - [2224]  77.834  81.221  82.893  77.390  78.607  72.215  33.008  67.905  60.251
    - [2233]  69.095  76.684  43.097  78.315  69.410  53.912  87.484  79.768  61.003
    - [2242]  63.333  73.192  76.442  86.282  81.109  70.245  66.208  79.575  74.137
    - [2251]  73.623  60.160  83.445  70.662  61.033  61.458  97.504  84.948  48.399
    - [2260]  84.498  77.754  77.857  65.027  74.554  56.011  82.311  88.152  75.702
    - [2269]  77.334  62.598  79.865  87.219  85.780  85.392  76.204  76.948  77.520
    - [2278]  86.106  82.376  70.377  71.137  87.193  71.472  88.491  65.903  65.338
    - [2287]  62.244  50.337  84.881  68.015  66.574  78.925  77.739  80.827  79.109
    - [2296]  71.792  69.137  69.167  73.769  68.846  70.722  67.224  79.113  79.329
    - [2305]  63.852  64.508  80.197  64.437  66.369  62.235  65.226  80.404  67.289
    - [2314]  69.428  76.759  70.026  70.286  82.556  60.771  74.135  71.848  73.471
    - [2323]  49.553  77.077  83.944  64.217  66.598  65.935  87.894  81.827  67.931
    - [2332]  68.336  52.315  62.719  50.330  87.262  79.488  82.705  87.056  44.272
    - [2341]  83.965  68.703  60.020  84.977  85.100  66.867  80.404  97.416  87.308
    - [2350]  69.067  87.068  55.282  88.689  57.592  89.723  61.657  81.752  75.116
    - [2359]  84.785  61.847  70.422  57.163  77.760  75.896  83.750  84.416  56.520
    - [2368]  69.379  75.413  65.346  86.097  65.788  74.909  70.178  80.031  81.180
    - [2377]  74.458  79.733  87.580  74.312  79.350  59.930  68.081  70.501  84.940
    - [2386]  55.947  55.323  76.052  82.233  80.713  67.810  81.803  88.590  85.678
    - [2395]  88.343  88.153  83.990  79.629  78.354  61.728  88.193  85.697  84.163
    - [2404]  63.420  72.186  79.895  78.493  81.325  82.944  86.000  86.420  63.906
    - [2413]  79.978  60.705  75.378  67.802  87.820  73.452  82.760  54.938  73.011
    - [2422]  99.126  98.913  89.168  70.926  61.616  41.589  64.219  61.166  95.807
    - [2431]  92.644  86.694  81.170  77.183  83.803  42.303  84.049  71.836  68.943
    - [2440]  75.388  79.998  89.975  81.431  59.343  64.174  71.743  48.870  67.111
    - [2449]  66.284  71.144  64.040  51.805  49.507  80.408  73.447  82.647  97.412
    - [2458]  93.456  57.157  98.869  76.181  61.883  96.949  84.663  79.279  89.910
    - [2467]  84.440  80.114  84.473  76.644  79.067  69.408  66.559  65.246  95.185
    - [2476]  70.212  85.325  67.200  80.076  69.098  88.850  76.661  78.683  74.487
    - [2485]  90.932  65.836  66.555  84.427  87.398  74.868  85.170  80.393  64.619
    - [2494]  83.841  74.419  71.248  76.737  78.159  71.656  90.075  92.519  69.074
    - [2503]  45.298  84.363  64.870  63.389  83.329  77.113  92.591  89.865  76.778
    - [2512]  92.200  86.329  69.505  69.765  73.549  81.208  87.410  94.305  81.916
    - [2521]  71.988  63.464  79.700  88.596  95.539  67.758  66.824  66.210  60.882
    - [2530]  69.576  94.095  68.631  83.124  72.300  70.617  90.011  72.743  92.623
    - [2539]  63.490  95.628  54.567  67.152  77.741  46.080  64.498  91.132  78.361
    - [2548]  74.751  83.893  69.392  81.578  41.111  88.015  92.226  81.101  74.097
    - [2557]  85.057  53.250  78.622  75.218  65.829  83.983  55.930  71.297  80.714
    - [2566]  74.356  70.186  92.979  76.620  67.583  82.728  68.774  84.343  85.292
    - [2575]  55.058  68.838  85.787  85.922  79.558  74.925  70.094  85.566  98.273
    - [2584]  79.386  79.353  92.822  86.326  62.743  60.485  88.770  54.917  90.847
    - [2593]  65.024  41.274  76.761  81.466  86.578  82.244  73.816  51.541  79.697
    - [2602]  94.317  75.187  81.973  79.274  91.160  68.483  88.429  76.156  70.613
    - [2611]  81.412  93.163  59.362  86.527  85.077  88.413  80.519  72.139  47.262
    - [2620]  67.402  90.505  78.855  83.229  82.219  87.109  80.671  90.778  60.379
    - [2629]  50.550  60.351  60.222  71.618  73.254  78.323  79.144  80.039  74.270
    - [2638]  98.030  85.228  94.341  86.530  93.437  66.934  88.195  78.996  59.147
    - [2647]  68.553  90.872  74.459  91.347  64.510  78.499  73.798  60.645  97.283
    - [2656]  66.676  80.386  88.316  76.579  97.385  86.195  73.650  66.817  89.108
    - [2665]  95.499  79.518  73.197  76.540  81.307  71.643  93.541  85.989  86.007
    - [2674]  66.272  45.225  81.421  70.897  78.022 106.527  81.788  62.701  77.040
    - [2683]  41.878  71.280  67.800  62.236  81.612  90.855  50.146  87.594  32.507
    - [2692]  54.682  57.846  92.373  73.967  61.977  68.700  77.189  55.161  92.769
    - [2701]  63.217  82.188  76.528  79.422  77.724  76.221  66.552  52.895  52.306
    - [2710]  86.140  84.631  75.952  72.272  88.193  89.293  72.128  89.787  87.129
    - [2719]  91.805  83.227  43.815  89.200  89.080  73.363  95.346  91.319  76.302
    - [2728]  86.656  80.839  66.452  79.897  65.678  87.203  75.452  83.968  81.576
    - [2737]  85.658  83.326  75.364  54.562  78.705  76.719  87.462  48.941  81.867
    - [2746]  56.378  80.687  57.764  66.689  56.470  80.177  83.234  79.110  58.008
    - [2755]  84.071  53.033  64.042  53.784  71.851  75.418  84.741  56.017  42.267
    - [2764]  64.062  62.889  71.253  65.600  67.210  55.000  70.778  86.607  35.547
    - [2773]  86.993  74.620  70.307  92.308  76.738  52.488  84.795  75.468  53.989
    - [2782]  87.852  78.136  80.353  53.987  82.740  82.214  84.863  78.553  81.193
    - [2791]  78.870  75.004  84.306  55.557  59.731  87.911  77.892  59.508  76.110
    - [2800]  67.110  78.959  82.988  74.035  74.859  86.408  58.418  87.197  68.314
    - [2809]  61.045  73.942  65.167  61.017  88.533  80.888  77.409  82.092  79.802
    - [2818]  79.664  82.132  77.477  66.982  79.004  85.941  64.283  81.375  64.388
    - [2827]  61.324  65.766  77.798  87.567  78.328  72.226  78.638  69.885  87.480
    - [2836]  86.886  76.939  72.571  72.003  86.229  87.242  56.328  71.885  88.671
    - [2845]  54.904  42.508  63.294  83.015  58.201  75.822  62.795  85.918  86.024
    - [2854]  67.710  60.746  64.740  93.754  79.411  43.317  87.749  76.383  66.489
    - [2863]  61.783  70.501  65.091  74.719  52.746  76.920  71.335  45.964  71.066
    - [2872]  25.861  92.036  67.110  82.156  90.236  66.296  80.256  59.532  81.837
    - [2881]  84.795  85.949  94.536  59.656  74.750  75.095  72.380  75.288  84.744
    - [2890]  69.151  56.377  79.295  94.244  73.364  71.825  95.450  88.439  79.828
    - [2899]  75.634  87.310  80.764  81.360  74.694  78.726  87.028  76.095  90.042
    - [2908]  67.761  96.382  80.237  89.272  83.986  52.998  83.768  86.880  87.785
    - [2917]  86.930  70.374  51.017  87.387  46.241  62.315  88.699  47.923  54.077
    - [2926]  59.121  78.100  85.824  51.826  72.586  70.567  56.550  71.106  67.842
    - [2935]  97.312  95.142  36.705  92.449  63.503  53.036  59.877  79.000  89.916
    - [2944]  79.895  77.470  80.044  73.876  65.229  59.471  62.031  71.249  56.385
    - [2953]  76.735  44.355  56.178  84.008  85.890  88.309  83.165  80.005  98.564
    - [2962]  87.766 106.213  72.706  89.738  96.032  82.205  69.916  62.545  72.784
    - [2971]  57.247  70.228  59.203  84.643  88.892  92.233  79.524 108.330  97.779
    - [2980]  95.914  94.164  86.452  75.610  83.675  31.072  82.894  70.195  79.933
    - [2989]  57.807  67.343  84.956  72.717  78.098  89.040  53.788  77.282  55.015
    - [2998]  68.028  84.292  71.435  85.105  55.380  63.793  71.592  72.451  93.682
    - [3007]  55.220  31.604  63.163  92.005  66.975  92.005  73.551  70.302  63.751
    - [3016]  89.445  82.522  46.027  70.654  66.964  81.851  55.116  88.538  87.567
    - [3025]  76.512  50.456  75.761  80.802  80.412  71.103  75.070  59.245  78.001
    - [3034]  54.915  84.925  81.346  85.732  64.803  74.625  71.265  82.370  88.862
    - [3043]  68.919  84.979  93.607  64.319  65.373  56.428  88.763  88.790  65.792
    - [3052]  75.235  73.504  84.047  77.213  73.370  67.325  89.574  62.471  63.138
    - [3061]  93.958  65.130  39.818  64.112  74.325  79.138  56.771  77.512  70.743
    - [3070]  83.035  83.311  84.488  71.624  41.353  78.155  69.475  84.289  84.205
    - [3079]  45.910  86.505  75.468  76.958  50.995  76.228  73.698  71.471  84.191
    - [3088]  69.819  62.062  65.965  74.576  55.660  53.992  72.420  74.671  80.133
    - [3097]  70.820  79.259  64.286  88.295  80.927  51.924  86.038  70.559  43.095
    - [3106]  85.405  74.366  84.306  86.725  73.672  73.822  89.029  73.430  80.366
    - [3115]  85.198  54.219  71.614  82.863  82.723  68.967  69.437  75.359  89.107
    - [3124]  74.659  46.292  57.200  76.208  79.933  81.299  68.715  75.884  55.810
    - [3133]  77.021  91.984  89.492  61.268  81.767  85.176  68.367  72.849  73.938
    - [3142]  57.848  68.212  70.834  63.880  68.370  70.226  60.648  59.024  69.758
    - [3151]  73.624  83.430  70.481  83.097  85.824  71.017  80.455  85.591  78.577
    - [3160]  69.146  61.435  70.232  60.080  75.440  58.737  82.540  84.573  73.230
    - [3169]  76.937  79.436  67.934  79.112  74.065  65.207  86.281  87.365  81.734
    - [3178]  88.764  75.560  86.647  96.714  55.747  77.785  76.669  61.595  72.675
    - [3187]  89.484  80.690  86.430  73.265  37.837  77.587  83.719  79.466  70.690
    - [3196]  73.085  89.657  46.559  81.270  58.886  85.537  81.525  68.911  80.692
    - [3205]  68.010  89.808  64.494  71.257  88.218  65.005  83.053  71.042  67.470
    - [3214]  72.137  74.677  93.598  68.519  77.903  85.139  84.322  89.011  75.977
    - [3223]  82.947  78.911  63.041  57.936  61.442  97.660  65.723  75.478  89.279
    - [3232]  67.687  93.470  61.289  78.886  62.845  56.929  72.792  73.142  80.336
    - [3241]  78.523  70.999  96.033  79.031  85.436  58.577  41.441  78.054  71.937
    - [3250]  73.744  85.260  61.500  59.851  63.368  50.390  69.674  69.430  72.767
    - [3259]  58.779  63.668  63.466  83.089  86.679  65.373  71.462  75.064  59.528
    - [3268]  76.217  78.015  74.096  69.339  50.145  75.967  69.907  73.048  81.019
    - [3277]  48.878  61.238  75.019  56.079  51.270  56.040  67.436  73.737  66.439
    - [3286]  62.337  63.834  74.132  64.894  69.682  67.870  66.347  61.179  67.899
    - [3295]  50.760  71.273  86.371  67.014  66.661  86.598  62.611  70.209  80.324
    - [3304]  75.792  84.827  84.593  65.920  65.321  69.241  64.261  62.913  71.420
    - [3313]  74.213  46.240  61.273  58.316  59.110  72.914  59.633  64.637  88.332
    - [3322]  70.271  74.847  66.819  77.620  62.498  49.566  55.141  56.920  63.709
    - [3331]  72.788  60.054  64.029  77.020  51.067  76.612  67.415  74.427  63.926
    - [3340]  52.933  66.765  57.401  51.875  59.605  75.328  67.337  82.034  67.197
    - [3349]  58.298  74.276  69.718  67.637  73.867  88.236  73.811  79.735  74.820
    - [3358]  54.156  61.123  53.281  73.831  76.418  44.295  52.573  69.144  65.213
    - [3367]  73.825  83.443  78.556  79.953  65.681  68.948  65.446  67.816  82.935
    - [3376]  69.243  45.501  76.061  37.781  76.251  92.243  69.958  79.268  92.520
    - [3385]  87.543  95.096  80.420  97.942  77.802  45.962  75.950  79.890  74.915
    - [3394]  64.087  47.843  75.548  83.192  80.413  56.253  91.311  83.467  74.608
    - [3403] 104.971  71.436  96.054  75.782  89.600  69.179  65.212  89.748  71.704
    - [3412]  71.249  50.403  87.087  84.492  66.383  52.103  74.506  82.920  93.963
    - [3421]  75.903  76.310  75.125  37.827 100.057  82.030  76.870  79.568  50.992
    - [3430]  72.621  48.883  68.694  68.943  50.562  65.232  73.638  44.459  67.873
    - [3439]  72.014  80.040  44.581  66.935  50.158  65.282  58.220  77.031  75.729
    - [3448]  62.870  47.433  62.915  54.584  67.387  85.054  62.271  57.796  47.775
    - [3457]  53.246  71.802  80.105  74.243  83.866  79.200  55.737  50.374  52.617
    - [3466]  30.906  54.698  76.229  82.882  89.375  80.872  74.277  49.829  52.509
    - [3475]  82.619  97.564  83.388  51.926  75.897  82.443  56.786  74.975  84.683
    - [3484]  75.835  80.467  93.193  86.574  41.735  82.905  63.434  64.925  50.383
    - [3493]  81.627  76.567  71.445  65.241  88.757  71.303  90.174  76.832  73.880
    - [3502]  74.741  71.046  72.598  40.817  43.618  40.155  71.720  80.718  51.780
    - [3511]  64.928  54.651  76.865  79.994  76.578  65.798  72.688  70.266  55.862
    - [3520]  74.875  77.765  78.070  90.682  74.888  74.260  64.429  73.189  71.443
    - [3529]  75.014  75.945  73.336  97.898  84.785  88.581  70.137  73.225  64.802
    - [3538]  70.175  82.573  76.323  62.564  76.426  56.858  59.920  81.758  62.621
    - [3547]  59.826  66.533  75.263  89.099  89.986  88.160  90.161  96.707  79.505
    - [3556]  63.327  88.638  61.332  88.472  60.818  55.454  63.916  81.365  83.444
    - [3565]  70.027  70.137  71.739  65.190  72.928  55.482  64.760  85.943  72.210
    - [3574]  71.397  42.998  66.283  73.546  61.029  45.101  84.825  96.072  94.467
    - [3583]  66.533  90.029  79.585  72.886  67.591  87.454  96.181  91.664  87.794
    - [3592]  64.841  92.996  65.335  68.640  92.354  72.604  43.203  77.769  72.150
    - [3601]  91.466  65.378  49.942  71.560  87.118  82.673  67.623  81.067  89.003
    - [3610]  57.623  40.505  57.622  83.031  77.287  95.867  67.029  89.080  90.763
    - [3619]  83.516  90.400  44.885  69.422  94.585  39.548  92.044  39.665  36.518
    - [3628]  83.873  84.105  78.016  47.007  73.071  62.451  63.734  81.034  92.612
    - [3637]  91.347  80.189  72.879  95.401  77.620  74.321  91.365  96.867  84.238
    - [3646]  83.577  94.855  71.306  71.037  90.751  86.686  85.734  70.138  77.011
    - [3655]  65.524  66.046  88.481  75.132  86.464  75.465  75.168  87.650  78.446
    - [3664]  75.008  82.701  61.609  75.211  85.002  87.723  83.582  51.338  74.814
    - [3673]  75.031  79.886  76.571  63.116  68.937  89.365  94.190  80.399  88.944
    - [3682]  72.817  88.030  54.156  85.167  82.059  79.842  96.595  89.599  83.282
    - [3691]  68.574  68.879  70.312  82.304  73.166  88.012  82.451  78.242  79.380
    - [3700]  85.089  87.956  88.171  76.617  58.775  64.223  66.453  76.452  72.612
    - [3709]  63.329  86.519  81.724  77.119  71.329  77.219  88.750  77.295  80.056
    - [3718]  80.839  83.818  94.002  76.533  89.613  66.191  62.695  62.051  75.007
    - [3727]  86.866  87.370  83.418  81.570  83.113  92.650  67.915  94.429  87.260
    - [3736]  94.569  71.775  58.256  71.252  82.844  98.971  86.609  79.317  69.844
    - [3745]  87.621  75.408  69.915  81.555  77.519  96.207  86.652  77.041  91.272
    - [3754]  82.430  59.995  78.486  69.843  79.489  87.788  56.092  82.675  88.278
    - [3763]  85.762  51.279  46.606  83.557  80.976  82.320  54.774  84.789  69.556
    - [3772]  76.015  78.651  63.554  43.533  51.728  88.321  71.314  86.394  87.249
    - [3781]  72.929  66.465  94.830  68.671  66.335  64.307  69.315  77.282  84.704
    - [3790]  67.751  58.167  52.072  85.192  79.386  82.859  83.182  69.880  97.838
    - [3799]  83.061  99.946  82.680  63.726  84.554  72.999  74.121  71.079  89.656
    - [3808]  84.374  67.397  72.946  82.526  67.282  74.988  67.273  87.210  91.063
    - [3817]  87.119  67.297  76.036  84.177  73.424  71.315  62.619  96.090  69.936
    - [3826]  57.000  79.908  72.013  82.947  67.169  73.478  73.723  88.579  86.039
    - [3835]  94.101  90.395  64.862  89.653  88.627  74.707 100.844  63.094  52.229
    - [3844]  89.283  74.243  59.136  57.421  70.618 101.180  72.166 102.394  88.174
    - [3853]  81.308  79.033  89.198  75.768  55.805  71.153  65.343  64.806  78.963
    - [3862]  80.117  72.310  65.480  95.809  70.348  89.089  24.135  78.568  83.248
    - [3871]  89.045  89.127  75.757  57.347  73.243  78.259  96.402  65.327  40.369
    - [3880]  64.735  67.495  81.561  85.675  88.577  77.547  63.392  65.285  69.961
    - [3889]  77.921  81.965  75.503  79.713  82.198  75.195  79.168  88.763  80.751
    - [3898]  43.119  75.434  31.966  77.428  68.562  87.510  57.165  71.231  60.944
    - [3907]  92.042  73.707  63.155  80.089  71.648  90.200  64.767  53.672  80.207
    - [3916]  76.155  88.394  69.100  57.788  86.077  70.591  86.370  93.172  60.212
    - [3925]  74.918  92.740  91.501  74.521  69.962  69.668  92.005  90.661  61.673
    - [3934]  67.558  81.253  69.742  71.405  76.750  78.928  72.620  87.445  61.537
    - [3943]  69.383  97.258  85.427  89.972  91.267  81.288  54.813  44.590  88.793
    - [3952]  74.306  84.519  89.497  80.805  90.840  69.574  49.551  83.338  90.124
    - [3961]  72.003  53.657  57.677  73.619  39.556  83.585  51.975  90.689  82.484
    - [3970]  80.237  96.085  50.898  81.278  76.968  78.251  72.375  73.639  84.647
    - [3979]  61.592  93.598  68.856  88.750  84.905  69.292  90.462  92.814  92.062
    - [3988]  89.245  86.709  93.211  93.673  78.608  62.794  51.621  88.855  71.863
    - [3997]  88.047  80.599  56.183  88.494  83.012  85.998  89.729  81.801  69.554
    - [4006]  94.668  57.420  77.401  88.930  66.056  63.996  81.364  80.434  79.191
    - [4015]  71.676  70.197  67.899  96.315  71.747  73.115  52.718  46.290  76.987
    - [4024]  87.943  84.500  88.801  72.556  91.726  54.825  73.738  71.036  98.958
    - [4033]  66.712  91.796  69.309  77.265  91.567  79.687  82.890  66.134  77.565
    - [4042]  53.048  81.980  61.473  87.439  80.560  63.358  82.125  95.834  98.759
    - [4051]  82.144  98.195  51.288 106.915  62.834 105.467  85.995  89.544  71.325
    - [4060]  87.387  84.237  90.050  73.693  66.557  66.495  80.468  89.496  81.099
    - [4069]  92.897  88.502  76.441  88.295  96.026  81.858  60.738  68.823  79.781
    - [4078]  61.255  67.350  93.120  73.215  70.658  76.693  76.288  89.682  80.257
    - [4087]  82.059  73.107  50.101  98.059  74.380  77.090  68.878  83.881  84.280
    - [4096]  77.536  74.287  87.579  74.195  88.658  73.482  58.962  89.926  70.445
    - [4105]  47.447  85.847  87.482  79.255  74.824  85.346  67.160  81.637  58.968
    - [4114]  83.718  83.245  88.846  82.419  86.564  71.870  86.681  91.178  95.715
    - [4123]  97.490  63.016  72.368  95.519  79.685  88.232  71.574  84.612  93.969
    - [4132]  78.208  83.623  87.778  65.320  76.202  91.102  97.830  80.247  75.023
    - [4141]  72.494  81.836  85.665  81.234  64.180  75.647  70.272  97.594  83.522
    - [4150]  75.712  84.370  68.408  42.148  58.671  84.563  80.739  84.806  71.050
    - [4159]  67.819  89.025  86.935  87.784  78.071  73.783  83.538  86.745  74.515
    - [4168]  90.136  70.688  85.754  67.404  75.039  66.911  78.276  80.136  97.046
    - [4177]  93.782  91.535  67.655  67.590  70.984  80.154  95.596  74.680  84.010
    - [4186]  89.573  75.969  91.526  92.269  56.666  69.054  90.317  22.501  70.185
    - [4195]  59.229  81.574  83.298  57.914  85.945  66.837  90.477  98.946  83.270
    - [4204]  89.344  60.023  75.033  63.657  67.335  56.200  76.744  76.551  70.892
    - [4213]  85.074  72.315  66.206  72.419  73.339  65.394  76.610  87.279  82.282
    - [4222]  89.585  75.177  77.989  83.963  71.225  46.959  79.055  81.678  70.148
    - [4231]  80.800  85.609  52.343  74.543  95.397  87.719  44.460  80.032  89.383
    - [4240]  86.685  82.860  77.676  78.524  84.448  69.437  56.712  68.304  67.995
    - [4249]  78.577  79.601  89.509  89.948  64.834  45.507  69.208  67.669  80.096
    - [4258]  72.262  85.970  86.216  98.733  47.975  74.683  84.053  75.820  85.523
    - [4267]  84.546  60.921  44.232  74.635  79.725  80.108  63.094  66.591  81.978
    - [4276]  62.732  83.370  86.914  58.387  71.150  36.926  76.119  54.951  77.136
    - [4285]  72.809  88.208  69.709  85.881  53.370  94.289  94.530  71.888  43.175
    - [4294]  65.085  71.191  81.633  85.181  84.978  83.873  69.344  74.992  74.999
    - [4303]  54.200  51.683  68.820  81.176  58.368  59.821  62.072  72.577  96.581
    - [4312]  48.723  85.581  91.518  76.653  60.488  75.308  76.611  88.084  95.262
    - [4321]  59.778  79.502  87.842  58.284 104.350  85.266  51.955  63.071  80.215
    - [4330]  87.466  89.183  51.008  59.128  50.690  69.988  74.776  87.705  87.528
    - [4339]  48.671  83.386  77.238  85.060  73.911  73.698  78.986 107.692  86.787
    - [4348]  83.540  65.572  70.434  89.970  70.727  67.289  47.019  94.807  92.407
    - [4357]  66.469  89.285 105.790  38.365  90.744  93.559  85.494  90.905 109.152
    - [4366]  72.104  71.112  84.136  80.303  90.686  74.845  97.504  71.320  73.290
    - [4375]  84.297  76.992 105.228  93.608  81.839  96.994  77.906  92.381  58.815
    - [4384]  99.399  63.144  88.450  97.113  84.442  98.276  87.565  73.284  89.077
    - [4393]  92.919  72.224  93.496  60.808  73.245  50.748  83.427  59.076  86.749
    - [4402]  52.173  45.178  76.317  79.985  59.589  74.273  91.013  57.347  55.474
    - [4411]  73.830  70.368  75.006  51.736  60.527  50.377  63.103  39.629  73.001
    - [4420]  76.417  82.715  61.229  87.445  97.765  83.066  60.844  90.719  73.001
    - [4429]  89.693  61.453  59.344  79.451  82.869  66.015  78.752  71.714  48.696
    - [4438]  50.254  84.353  76.721  79.968  85.667  86.448  51.588  56.909  73.661
    - [4447]  57.007  68.570  66.836  61.485  56.537  84.801  95.347  58.653  84.875
    - [4456]  84.985  66.819  74.465  89.885  86.393  38.642  65.837  44.760  55.680
    - [4465]  61.908  82.239  51.708  54.568  82.300  76.522  91.242  69.980  81.874
    - [4474]  84.922  83.193  88.770  62.198  72.384  52.447  81.870  43.324  52.536
    - [4483]  56.537  59.774  78.475  82.706  40.538  64.261  76.716  82.737  62.533
    - [4492]  72.792  61.309  82.962  61.053  76.254  61.802  88.980  85.759  76.373
    - [4501]  81.540  84.612  66.573  80.225  69.381  85.785  74.228  71.053  84.845
    - [4510]  35.960  90.003  79.523  77.043  53.575  54.501  95.200  93.267  49.021
    - [4519]  74.124  54.231  74.169  86.516  61.355  94.652  75.827  77.976  53.179
    - [4528]  54.876  77.778  89.108  87.557  68.162  75.212  74.505  88.968  69.161
    - [4537]  68.302  58.193  66.821  87.871  68.535  59.099  40.595  87.363  91.980
    - [4546]  82.721  88.250  98.885  68.143  60.265  96.975  79.526 106.565  67.239
    - [4555]  88.572  77.039  55.810  85.738  70.831  45.502  72.281  44.185  63.363
    - [4564]  79.541  92.068  79.414  69.217  61.147  70.158  69.030  64.409  70.843
    - [4573]  87.131  58.877  79.667  88.756  88.290  50.041  83.231  78.640  68.128
    - [4582]  79.202  92.035  73.707  89.577  65.670  64.641  74.269  59.484  63.441
    - [4591]  81.122  67.060  65.414  44.247  84.884  72.432  69.722  49.707  51.075
    - [4600]  67.682  46.849  71.336  65.251  72.845  86.151  83.194  65.941  60.383
    - [4609]  78.931  60.488  42.467  64.817  76.252  57.161  57.617  67.368  56.347
    - [4618]  59.150  64.186  56.431  67.732  59.602  86.141  65.981  63.599  70.332
    - [4627]  77.166  66.712  86.150  83.275  63.322  64.631  67.902  76.524  67.555
    - [4636]  62.527  54.196  54.946  70.330  58.375  76.539  69.846  40.276  67.490
    - [4645]  60.378  67.315  66.946  71.527  73.908  78.857  77.199  73.247  85.185
    - [4654]  73.795  83.098  63.213  83.616  59.106  48.730  73.877  49.947  83.954
    - [4663]  71.373  63.365  78.279  79.072  89.863  76.385  63.406  79.066  28.088
    - [4672]  75.729  61.493  73.864  41.954  81.118  67.612  61.668  84.636  54.011
    - [4681]  70.349  53.685  78.558  54.080  66.131  67.852  83.221  66.122  80.649
    - [4690]  81.107  81.292  60.637  72.488  45.189  87.694  74.082  73.582  81.672
    - [4699]  77.286  55.331  73.960  73.049  63.621  76.060  48.515  70.739  60.775
    - [4708]  76.589  62.935  61.270  49.514  93.484  36.305  47.333  89.819  82.820
    - [4717]  85.292  74.623  81.117  76.489  62.717  53.335  70.091  77.195  51.587
    - [4726]  47.766  70.293  64.060  73.508  61.766  48.224  47.610  58.574  82.100
    - [4735]  50.146  70.786  72.129  48.175  75.228  83.668  75.298  79.048  74.146
    - [4744]  61.350  74.781  76.107  89.858  64.950  53.824  71.788  56.630  86.545
    - [4753]  46.911  60.235  66.560  65.096  88.580  54.552  47.946  41.332  65.961
    - [4762]  65.717  62.797  42.938  63.398  53.892  57.567  67.583  82.361  47.571
    - [4771]  78.331  86.001  98.000  63.041  61.355  59.145  83.788  85.563  85.333
    - [4780]  76.179  78.189  87.428  69.553  56.952  67.601  73.178  60.539  83.856
    - [4789]  68.177  53.784  65.460  78.918  48.120  82.918  65.958  71.428  80.535
    - [4798]  70.085  66.930  76.399  63.995  59.065  59.968  54.320  41.718  45.714
    - [4807]  74.259  55.691  44.129  64.007  50.754  47.287  64.926  48.818  58.181
    - [4816]  36.295  60.041  44.847  69.005  35.743  43.775  66.178  42.828  88.380
    - [4825]  62.418  41.110  40.670  53.934  27.504  61.187  74.788  75.410  55.089
    - [4834]  59.266  76.483  56.691  70.632  46.996  80.551  67.626  70.586  72.836
    - [4843]  64.041  71.755  70.381  29.851  79.660  58.261  40.561  48.974  38.884
    - [4852]  32.439  44.123  54.203  55.784  72.946  52.406  63.779  67.819  67.812
    - [4861]  46.823  60.388  73.007  56.670  82.199  48.466  48.943  58.163  71.638
    - [4870]  52.929  64.860  53.577  73.900  68.794  68.486  57.882  68.665  73.454
    - [4879]  72.260  56.308  66.507  40.491  54.840  42.697  77.639  32.202  31.293
    - [4888]  40.655  42.375  35.508  33.363  34.298  42.808  31.457  56.984  58.880
    - [4897]  77.057  40.430  19.983  69.607  42.584  86.800  63.686  44.266  65.301
    - [4906]  54.619  65.856  85.689  43.438  77.090  33.961  34.658  65.480  57.455
    - [4915]  88.568  65.573  94.585  74.219  56.204  81.857  51.830  63.895  78.077
    - [4924]  34.826  71.942  65.271  60.159  64.949  57.869  66.538  52.925  65.909
    - [4933]  69.843  76.671  44.605  60.777  64.798  70.313  88.856  56.966  66.803
    - [4942]  45.510  76.279  72.656  78.036  73.728  59.979  71.842  69.440  62.727
    - [4951]  58.987  80.453  63.778  71.501  73.198  76.976  74.819  80.421  87.604
    - [4960]  50.279  19.813  61.714  27.609  59.206  45.230  74.947  68.423  30.138
    - [4969]  91.808  51.262  72.190  63.942  63.555  55.433  72.823  71.554  80.150
    - [4978]  77.915  79.170  71.536  65.807  93.775  77.697  86.805  45.518  83.201
    - [4987]  85.213  74.209  48.669  93.102  77.198  46.234  84.476  79.210  61.138
    - [4996]  60.937  47.105  72.821  60.130  71.372  89.330  70.376  55.791  68.262
    - [5005]  68.501  74.549  52.122  70.446  89.290  61.485  73.786  80.098  50.317
    - [5014]  74.942  57.394  47.032  63.915  60.042  70.822  54.948  92.517  82.287
    - [5023]  87.317  83.209  66.581  80.148  77.417  58.061  82.176  53.927  52.360
    - [5032]  61.297  27.600  92.372  49.384  71.291  79.691  60.889  52.733  78.402
    - [5041]  81.603  84.678  86.460  46.095  57.470  69.392  59.954  89.743  79.906
    - [5050]  85.659  74.724  71.120  73.802  66.822  74.940  86.781  81.823  72.145
    - [5059]  69.849  79.142  75.892  72.277  71.946  62.075  84.016  81.856  53.861
    - [5068]  72.504  75.371  65.262  74.627  61.222  80.354  82.828  75.641  59.920
    - [5077]  80.750  80.447  88.507  85.884  81.622  61.423  59.948  77.003  80.671
    - [5086]  66.629  38.411  67.696  79.878  82.305  64.462  73.330  86.627  66.475
    - [5095]  75.087  83.262  71.159  82.308  82.019  82.545  65.835  76.426  60.712
    - [5104]  85.176  74.396  87.473  58.264  53.749  70.202  80.717  74.328  89.638
    - [5113]  85.050  54.838  59.980  74.170  71.431  54.892  86.075  68.987  70.077
    - [5122]  61.877  73.077  67.887  84.165  76.720  88.249  67.604  86.151  72.029
    - [5131]  54.105  77.176  46.218  62.929  48.907  61.890  63.668  76.765  87.820
    - [5140]  67.262  82.550  76.675  73.643  59.255  69.101  68.954  69.519  75.532
    - [5149]  91.308  64.096  71.291  49.017  35.785  59.291  61.892  77.991  67.406
    - [5158]  52.048  62.237  69.952  59.877  48.392  57.950  68.008  29.427  57.307
    - [5167]  61.967  64.175  61.253  90.349  61.277  72.219  54.045  53.459  73.045
    - [5176]  83.254  83.838  65.400  74.005  72.392  61.169  55.051  70.536  73.105
    - [5185]  52.752  49.931  80.377  36.017  68.983  64.412  90.015  85.995  78.527
    - [5194]  77.524  74.703  67.445  75.312  60.222  63.509  71.913  56.453  60.340
    - [5203]  61.377  85.767  51.291  82.572  72.668  86.407  77.886  81.446  63.213
    - [5212]  58.788  75.342  60.688  59.108  86.401  53.995  63.635  67.048  59.031
    - [5221]  75.085  79.394  72.615  52.536  57.830  71.673  54.615  72.467  67.268
    - [5230]  65.979  50.842  72.494  57.575  84.585  64.034  80.400  85.358  83.119
    - [5239]  76.199  72.409  53.770  88.635  53.132  75.763  62.792  64.794  67.937
    - [5248]  74.172  49.811  89.266  89.617  68.195  52.899  72.148  65.557  52.395
    - [5257]  65.655  83.137  77.885  68.419  71.046  84.773  54.640  83.800  49.246
    - [5266]  43.870  88.745  78.579  81.533  88.664  56.414  59.563  51.810  51.716
    - [5275]  63.665  65.742  87.029  81.230  85.394  46.677  69.789  82.581  78.760
    - [5284]  57.310  74.534  50.237  75.194  57.644  67.078  94.113  81.222  66.644
    - [5293]  74.496  73.251  39.852  77.198  75.104  74.785  82.966  74.607  44.200
    - [5302]  88.936  55.070  40.369  81.065  75.022  74.895  69.822  81.880  79.015
    - [5311]  76.462  67.097  71.599  66.338  66.495  69.613  76.799  85.403  79.116
    - [5320]  37.827  86.457  56.949  83.843  60.803  29.516  67.669  38.913  80.460
    - [5329]  78.087  77.544  41.830  74.844  80.818  82.975  60.907  68.297  71.046
    - [5338]  54.638  48.714  77.281  61.122  76.170  62.700  78.990  73.486  47.850
    - [5347]  41.551  67.838  85.488  52.934  79.335  87.167  67.975  75.868  65.164
    - [5356]  63.357  77.478  53.425  61.836  67.233  74.516  68.633  64.154  44.374
    - [5365]  88.064  76.801  68.111  84.455  71.831  73.576  90.692  81.615  85.690
    - [5374]  85.569  34.115  84.108  55.367  55.936  57.862  66.039  98.559  70.921
    - [5383]  47.430  55.095  89.614  64.372  61.258  77.505  68.020  71.558  41.111
    - [5392]  54.108  75.700  68.296  70.649  72.142  41.329  73.859  50.961  40.185
    - [5401]  67.028  49.463  36.080  28.849  75.950  81.873  59.694  69.925  72.705
    - [5410]  63.706  57.585  52.340  67.702  63.185  52.162  61.451  48.891  53.929
    - [5419]  34.401  53.883  51.225  78.516  55.549  16.713  54.120  59.096  46.555
    - [5428]  47.433  68.964  62.249  45.634  83.315  74.295  39.651  63.052  55.071
    - [5437]  83.419  38.495  52.631  50.907  81.060  55.825  24.894  48.528  55.198
    - [5446]  72.079  58.439  48.100  77.763  60.369  63.604  58.723  74.260  73.931
    - [5455]  56.992  51.879  72.841  71.881  65.332  78.215  77.250  75.030  59.262
    - [5464]  53.352  62.388  79.916  78.213  63.703  77.846  61.380  50.060  60.669
    - [5473]  68.373  57.565  64.933  74.373  87.078  56.923  64.892  67.558  71.976
    - [5482]  76.192  84.096  54.018  82.590  88.829  50.774  59.729  50.433  52.276
    - [5491]  75.042  65.420  56.757  76.567  37.803  71.856  66.387  69.824  62.656
    - [5500]  40.291  41.157  29.203  51.093  76.454  55.034  29.954  60.955  70.414
    - [5509]  41.870  50.952  79.754  66.873  55.313  57.997  63.480  77.259  78.233
    - [5518]  60.960  80.831  77.855  64.065  60.238  70.223  64.351  81.557  89.594
    - [5527]  71.864  67.769  51.464  87.367  71.278  84.123  62.915  78.825  69.336
    - [5536]  70.242  77.005  84.931  53.600  76.199  69.614  84.770  67.327  75.781
    - [5545]  51.839  36.884  83.561  74.213  79.289  79.697  72.741  71.370  79.473
    - [5554]  70.910  81.685  60.887  73.004  62.604  87.142  88.944  84.350  72.713
    - [5563]  74.967  87.416  45.134  44.038  79.374  85.418  88.730  51.848  67.496
    - [5572]  86.246  75.326  62.253  76.873  54.610  71.599  63.179  82.635  86.182
    - [5581]  74.259  62.010  57.923  92.609  49.890  62.228  45.637  75.408  67.304
    - [5590]  50.373  61.748  70.791  90.743  78.899  97.469  74.803  92.179  67.741
    - [5599]  90.366  78.279  59.536  76.006  80.465  69.874  89.050  63.640  72.700
    - [5608]  86.978  85.462  81.194  48.193  67.808  89.034  50.875  85.309  87.072
    - [5617]  76.013  72.070  79.635  69.919  76.434  79.784  68.855  79.551  61.108
    - [5626]  75.430  83.575  47.451  78.653  65.815  78.559  95.000  88.483  66.338
    - [5635]  86.540  69.619  83.322  79.164  79.064  77.388  76.422  46.487  82.104
    - [5644]  78.910  75.904  77.801  69.579  79.964  63.994  66.454  56.112  72.625
    - [5653]  83.128  71.061  74.274  64.809  79.960  63.162  83.936  38.376  84.789
    - [5662]  73.185  79.158  79.326  77.425  69.548  74.340  82.214  83.354  58.420
    - [5671]  85.389  75.303  76.583  75.585  47.250  62.833  69.099  74.520  66.775
    - [5680]  81.030  68.218  85.969  62.075  71.126  69.050  57.267  86.032  83.835
    - [5689]  69.969  77.398  67.303  70.702  70.956  69.162  63.628  89.110  81.173
    - [5698]  52.217  63.986  83.830  62.614  92.612  62.249  91.167  70.786  56.810
    - [5707]  46.315  90.518  84.945  70.518  70.593  84.200  49.400  83.595  61.952
    - [5716]  71.622  71.762  69.136  67.855  65.228  79.904  88.300  94.409  61.669
    - [5725]  74.399  88.122  80.037  51.232  78.233  59.645  94.830  75.841  65.482
    - [5734]  62.243  70.026  70.660  61.766  84.180  65.937  54.218  82.769  50.579
    - [5743]  72.190  82.353  80.137  68.387  47.212  74.522  72.795  74.985  45.424
    - [5752]  81.879  71.928  76.061  77.127  82.731  53.382  80.232  68.506  67.856
    - [5761]  81.981  42.400  66.761  83.921  66.122  63.055  88.216  78.869  81.645
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    - [5788]  89.598  85.792  70.485  76.177  67.425  66.719  59.166  69.763  78.953
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    - [5833]  48.151  50.677  49.138  65.526  25.395  70.271  74.575  67.953  79.442
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    - [6022]  72.608  74.610  82.740  79.007  70.138 109.734  58.993  96.974  77.635
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    - [6094]  80.058  50.541  44.983  69.945  69.072  51.686  62.331  72.867  71.339
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    - [6202]  86.250  86.285  72.609  80.026  81.531  74.845  84.797  69.859  58.054
    - [6211]  64.742  84.308  58.918  78.776  77.732  87.941  50.426  77.169  69.522
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    - [6229]  74.691  78.266  83.583  69.695  64.854  75.030  66.643  98.563  85.034
    - [6238]  59.048  83.742  62.728  91.091  69.600  61.605  54.509  49.948  90.611
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    - [6256]  68.949  86.650  62.733  72.189  97.038  81.143  82.864  69.798  42.686
    - [6265]  79.000  67.182  76.764  78.336  80.549  81.931  87.024  79.585  68.992
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    - [6283]  40.439  62.493  79.432  78.346  63.616  68.158  69.089  54.783  86.991
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    - [6301]  81.261  88.675  94.997  75.045  84.436  71.354  66.266  79.354  51.876
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    - [6319]  84.699  80.403  54.905  44.846  64.820  78.357  50.241  83.627  86.186
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    - [6346]  74.689  67.783  93.581  79.221  90.635  95.698  95.162  82.674  74.719
    - [6355]  62.753  46.222  77.153  96.012  70.880  88.585  80.297  87.578  87.512
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    - [6373]  83.316  78.736  60.269  83.074  85.380 108.138  80.401  86.290  64.391
    - [6382]  88.601  62.621  66.504  82.628  74.791  76.192  73.527  79.990  54.866
    - [6391]  98.786  87.163 102.736  83.165  73.253  97.664 102.975  65.792  66.562
    - [6400]  72.033  51.438  96.003  95.168  89.558  54.249  66.734  96.632  86.319
    - [6409]  61.735  96.151  83.320  96.522  84.062  75.105  83.533  69.079  72.190
    - [6418]  96.814  71.047  79.334  69.227  80.140  90.104  87.465  80.806  66.258
    - [6427]  78.259  77.255  86.626  95.138  97.999  61.679  90.787 108.910  71.479
    - [6436]  94.505  59.462  65.934  59.039  59.885  81.782  88.783  81.005  74.511
    - [6445]  90.537  74.599  79.242  61.258  96.037  63.900  77.922  79.883  74.444
    - [6454]  87.933  59.527  76.756  79.025  78.641  77.658  60.731  85.524  94.863
    - [6463]  51.842  80.451  49.017  76.559  51.011  70.617  81.574  81.549  93.255
    - [6472]  88.980  58.648  72.993  84.683  57.447  86.569  66.695  63.746  60.837
    - [6481]  61.133  60.660  84.771  47.733  88.771  83.128  87.059  87.398  79.023
    - [6490]  65.508  79.303  68.952  69.015  88.039  40.855  91.295  77.768  60.919
    - [6499]  75.173  78.624  86.066  54.283  79.254  84.193  70.565  64.949  83.403
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    - [6517]  83.268  59.881  85.402  77.080  70.563  65.786  71.867  59.878  92.945
    - [6526]  57.820  60.657  56.936  65.248  77.396  65.296  78.398  76.299  79.432
    - [6535]  70.858  69.448  69.396  77.210  95.833  85.452  63.298  77.705  96.383
    - [6544]  83.919  68.730  72.016  89.214  68.513  85.181  51.385  82.579  86.156
    - [6553]  61.722  79.816  61.655  81.567  78.217  72.149  81.537  62.452  64.750
    - [6562]  53.816  68.944  55.695  69.570  84.752  73.108  79.015  51.102  72.573
    - [6571]  28.713  61.153  54.202  83.947  65.780  39.567  94.632  79.942  76.364
    - [6580]  62.321  85.139  67.517  73.589  80.787  87.351  89.446  81.400  81.305
    - [6589]  73.020  83.916  83.432  88.598  69.687  72.427  79.795  78.745  73.560
    - [6598]  57.929  78.261  81.948  80.709  95.795  78.043  58.753  83.023  77.173
    - [6607]  89.979  83.082  67.289  74.475  83.642  80.460  94.107  54.492  68.944
    - [6616]  49.884  60.800  66.689  71.207  58.267  61.137  91.352  41.587  52.969
    - [6625]  50.014  53.147  77.073  44.170  68.469  52.523  37.644  32.689  32.855
    - [6634]  75.265  24.186  87.294  40.029  83.398  45.556  60.222  60.641  88.324
    - [6643]  72.746  47.616  73.822  63.508  68.557  39.856  35.155  54.893  47.877
    - [6652]  59.120  77.659  69.286  36.581  42.540  36.690  49.680  40.752  40.184
    - [6661]  45.109  76.890  49.014  79.515  54.225  65.541  76.999  63.177  82.936
    - [6670]  74.387  59.313  89.972  90.843  92.846  91.973  86.019  70.213  93.053
    - [6679]  81.636  77.202  64.874  72.291  93.303  91.442  84.491  68.249  68.750
    - [6688]  67.094  68.085  44.728  83.884  74.970  78.035  79.985  78.590  84.780
    - [6697]  73.589  82.081  83.401  73.624  84.963  72.970  83.547  75.125  83.543
    - [6706]  68.950  85.576  56.089  73.562  73.279  75.284  70.829  80.259  27.962
    - [6715]  81.086  60.012  81.429  80.550  69.030  80.730  78.175  64.615  82.575
    - [6724]  52.954  88.393  61.162  82.270  80.899  70.521  79.572  89.638  64.847
    - [6733]  70.705  74.915  77.304  80.889  50.267  72.803  63.402  65.441  81.842
    - [6742]  82.491  81.410  87.919  78.169  88.579  78.285  71.658  48.794  66.471
    - [6751]  80.778  57.641  77.957  62.746  45.913  60.809  73.178  64.599  50.495
    - [6760]  73.408  82.802  83.173  53.815  67.743  44.363  36.213  55.223  66.484
    - [6769]  78.661  36.840  74.670  36.337  42.440  87.217  87.071  82.473  51.435
    - [6778]  63.370  86.709  84.422  82.848  68.280  75.287  79.149  62.508  59.423
    - [6787]  70.641  62.991  63.026  88.676  87.180  90.929  74.970  70.650  74.610
    - [6796]  92.283  82.764  72.586  89.792  77.950  93.396  83.043  90.575  68.823
    - [6805]  60.100  86.292  88.711  64.538  62.678  84.438  74.504  94.501  70.347
    - [6814]  70.144  92.181  39.021  79.633  34.709  94.634  60.310  35.436  81.846
    - [6823]  87.119  69.090  92.475  80.350  90.701  88.220  73.715  82.652  81.681
    - [6832]  68.006  74.997  73.182  69.574  60.555  43.746  79.428  94.709  95.111
    - [6841]  94.506  82.176  82.306  74.587  74.006  73.915  73.998  90.414  94.086
    - [6850]  70.925  30.259  81.879  75.334  85.442  62.647  60.978  85.447  77.213
    - [6859]  89.252  94.938  82.353  75.911  53.242  82.695  76.813  93.520  77.745
    - [6868]  75.894  73.367  53.476  55.333  61.109  62.631  82.324  75.091  81.076
    - [6877]  59.636  86.061  64.593  77.904  64.803  39.451  61.651  53.895  48.167
    - [6886]  67.446  76.395  59.618  65.131  42.332  50.273  83.659  72.020  52.899
    - [6895]  72.262  69.227  93.571  58.549  73.931  61.072  76.318  68.051  87.244
    - [6904]  67.124  74.928  78.940  80.403  91.327  73.407  67.704  78.811  46.932
    - [6913]  53.152  74.978  54.590  62.747  73.630  91.991  72.660  73.820  79.126
    - [6922]  58.573  55.505  66.550  77.374  93.944  67.456  68.774  74.593  78.709
    - [6931]  48.999  63.881  76.802  95.563  53.981  71.617  62.004  80.812  98.270
    - [6940]  83.074  86.130  59.929  81.293  70.757  58.057  87.295  80.723  66.999
    - [6949]  83.365  84.497  83.162  85.538  89.774  98.025  79.182  60.338  80.452
    - [6958]  69.355  89.833  43.947  87.705  94.861  84.913  78.785  53.071  82.120
    - [6967]  82.401  97.092  96.953  80.547  35.299  90.325  84.232  73.441  81.726
    - [6976]  93.297  70.967  62.601  70.014  80.285  89.137  57.322  88.619  60.497
    - [6985]  71.266  96.454  71.355  84.348  92.482 102.257  86.605  98.780  94.132
    - [6994]  67.382  48.142  92.233  52.116  74.960  97.442  78.407  95.705  68.808
    - [7003]  95.795  71.520  75.111  97.559  84.879  60.625  88.130  69.701  98.625
    - [7012]  80.815  91.675  77.091  68.169  42.615  80.587  71.740  45.719  59.183
    - [7021]  48.101  86.361  72.748  84.538  72.038  94.870  77.111  88.273  64.348
    - [7030]  83.345  81.057  71.825  56.614  72.833  41.806  63.533  93.419  24.013
    - [7039]  93.366  95.397  78.908  88.083  79.847  84.135  92.758  66.827  85.595
    - [7048]  78.115  89.803  85.920  62.978  92.204  83.718  44.092  66.771  63.273
    - [7057]  83.378  77.315  86.119  74.413  83.152  54.114  85.024  65.385  86.531
    - [7066]  81.286  98.164  69.281  89.394  88.139  71.558  77.016  97.772  70.030
    - [7075]  62.726  73.916  63.915  89.384  90.162  94.426  71.763  74.107  43.801
    - [7084]  74.048  41.989  51.119  55.986  72.372  71.816  78.340  63.779  70.805
    - [7093]  90.165  70.670  46.304  63.950  73.888  72.981  53.338  68.455  82.178
    - [7102]  89.993  64.847  74.770  66.588  86.684  74.724  83.540  67.436  66.429
    - [7111]  77.430  80.942  83.599  83.463  91.668  70.567  78.749  94.708  75.983
    - [7120]  67.720  84.082  98.644  65.790  77.406  80.613  78.687  64.993  71.287
    - [7129]  87.901  84.215  44.080  65.800  91.885  78.781  84.392  90.069  83.254
    - [7138]  79.534  75.106  36.291  96.498  71.753  83.835  87.224  70.288  55.688
    - [7147]  52.633  65.037  64.251  66.462  82.825  76.980  64.690  93.745  92.730
    - [7156]  51.868  91.433  72.352  35.138  89.325  89.952  73.662  89.998  82.031
    - [7165]  61.986  65.327  55.270  89.326  79.662  77.809  75.488  41.623  59.175
    - [7174]  98.891  74.168  80.720  73.874  86.961  62.597  78.478  84.134  80.253
    - [7183]  54.605  82.487  80.903  85.273  77.591  82.490  77.857  81.985  74.252
    - [7192]  80.984  63.839  57.020  53.212  82.190  47.115  76.063  55.999  79.464
    - [7201]  63.197  85.282  79.409  85.462  54.180  64.853  75.728  80.433  62.772
    - [7210]  50.550  99.816  76.200  50.327  79.919  49.761  99.741  52.854  51.282
    - [7219]  74.593  79.630  81.189  83.597  52.324  50.433  49.179  51.515  51.114
    - [7228]  74.167  82.094  97.002  69.691  74.452  41.118  72.751  88.463  72.050
    - [7237]  69.983  39.346  76.496  63.861  77.808  61.845  64.669  74.944  67.566
    - [7246]  83.054  70.272  71.014  57.337  93.097  73.926  55.830  81.015  81.081
    - [7255]  58.042  63.003  72.817  61.845  86.711  72.523  73.230  84.739  64.111
    - [7264]  78.278  59.721  59.773  96.534  90.426  63.449  78.144  66.184  94.553
    - [7273]  77.652  75.843  74.822  86.236  58.034  79.876  60.384  54.856  73.568
    - [7282]  69.168  70.100  83.671  75.946  73.151  80.649  69.835  81.113  80.022
    - [7291]  75.452  80.175  86.747  64.276  81.169  96.771  50.100  80.104  76.656
    - [7300]  80.106  45.249  57.948  46.336  69.781  73.743  52.923  64.879  78.736
    - [7309]  81.561  61.217  58.127  85.461  78.060  89.914  85.821  61.547  73.789
    - [7318]  57.190  50.614  85.276  48.284  80.099  65.099  50.639  74.852  74.220
    - [7327]  82.604  98.068  78.757  74.472  54.273  89.980  74.611  56.340  50.887
    - [7336]  77.173  57.910  68.285  94.427  94.582  81.197  85.992  61.032  86.794
    - [7345]  66.124  66.842  73.037  73.312  77.517  83.693  81.007  67.776  83.051
    - [7354]  87.893  91.220  67.117  73.719  83.644  80.410  80.728  85.499  94.216
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    - [7372]  83.414  55.792  72.638  49.891  68.059  82.817  76.610  66.729  80.542
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    - [8893]  53.263  63.700  74.465  70.571  86.737  74.073  68.392  98.715  42.929
    - [8902]  81.327  44.873  73.081  74.049  82.872  70.228  62.833  56.975  76.019
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    - [8929]  44.020  54.655  62.542  56.788  61.256  37.484  77.707  68.886  53.174
    - [8938]  77.950  82.861  68.832  79.854  82.799  60.073  73.060  82.910  82.289
    - [8947]  56.685  49.357  63.791  58.338  49.437  81.374  59.648  75.371  82.924
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    - [8974]  79.836  66.003  70.361  86.936  90.019  58.723  65.764  72.776  69.644
    - [8983]  58.108  87.223  86.290  44.291  59.847  72.391  87.629  84.690  73.992
    - [8992]  72.926  68.281  25.097  52.670  56.592  45.383  52.224  82.507  54.947
    - [9001]  77.203  69.521  54.202  30.998  80.468  58.791  77.392  48.129  82.858
    - [9010]  90.520  88.553  63.234  37.445  84.717  56.153  59.439  76.011  86.760
    - [9019]  80.320  84.307  40.871  75.943  50.154  88.903  73.765  75.990  85.098
    - [9028]  90.414  70.249  36.570  50.787  68.376  68.499  42.230  68.535  50.829
    - [9037]  90.999  89.456  82.213  74.285  52.352  51.871  55.427  68.403  65.425
    - [9046]  72.049  82.500  79.555  82.622  83.528  59.701  60.755  68.394  46.174
    - [9055]  56.195  53.098  68.660  85.378  63.595  64.498  70.647  55.451  81.901
    - [9064]  65.015  72.758  67.797  78.260  60.860  85.315  50.770  72.543  66.741
    - [9073]  65.818  60.047  75.963  67.072  67.507  12.628  76.900  74.731  48.587
    - [9082]  50.709  52.522  81.017  71.554  65.657  65.616  80.522  53.017  72.708
    - [9091]  87.813  83.630  81.612  72.485  38.186  70.104  78.455  66.564  78.242
    - [9100]  96.024  49.294  70.143  73.858  79.030  64.616  99.755  92.546  50.177
    - [9109]  73.170  77.105  38.584  72.526  80.030  69.940  60.701  58.170  80.402
    - [9118]  89.074  55.911  42.120  46.149  47.175  52.188  72.385  73.899  71.399
    - [9127]  53.176  67.196  70.263  21.814  79.932  74.985  72.465  61.791  59.617
    - [9136]  76.753  61.801  62.032  74.431  66.409  80.802  93.444  81.842  67.664
    - [9145]  42.801  56.550  80.178  85.228  53.974  63.033  61.921  70.275  62.279
    - [9154]  61.809  94.475  64.861  78.486  67.877  84.715  80.342  77.508  72.851
    - [9163]  46.835  68.992  73.938  74.658  79.515  62.737  64.232  55.836  66.961
    - [9172]  64.648  70.908  68.543  73.928  63.228  46.744  62.720  71.310  72.012
    - [9181]  72.690  53.390  63.369  92.935  72.966  72.968  52.023  67.144  55.170
    - [9190]  60.078  69.046  90.875  86.286  88.701  61.694  85.562  52.467  74.078
    - [9199]  59.679  67.825  81.441  87.898  44.819  76.024  79.856  43.476  71.266
    - [9208]  84.458  87.935  40.864  70.978  55.041  66.495  72.703  59.479  70.869
    - [9217]  82.392  71.667  64.881  82.028  88.750  41.953  64.988  86.237  92.671
    - [9226]  46.838  79.520  76.603  71.601  54.012  77.422  76.160  57.539  83.176
    - [9235]  55.536  67.734  86.083  66.033  55.931  65.979  80.793  77.983  72.725
    - [9244]  68.367  77.409  84.430  45.995  70.998  60.506  77.955  96.344  91.671
    - [9253]  53.710  61.618  61.306  68.543  71.528  84.076  72.930  67.220  77.710
    - [9262]  74.335  90.755  77.185  67.949  63.512  83.611  63.025  73.645  74.440
    - [9271]  86.061  84.541  62.653  70.408  69.454  64.934  77.769  58.684  80.497
    - [9280]  70.699  95.722  54.279  95.021  85.175  48.546  79.974  44.320  77.275
    - [9289]  65.641  68.282  77.213  82.066  65.526  80.033  70.902  74.855  77.177
    - [9298]  83.245  73.564  78.708  56.947  84.319  62.502  80.436  55.877  66.055
    - [9307]  70.235  60.977  74.265  55.333  66.614  77.778  66.037  62.722  82.257
    - [9316]  61.773  75.110  71.818  81.436  31.182  57.606  74.647  58.729  85.773
    - [9325]  87.267  68.308  89.023  89.038  71.599  86.822  65.374  63.477  63.516
    - [9334]  83.603  64.896  18.813  77.416  83.162  41.787  67.760  81.411  76.647
    - [9343]  69.372  68.558  59.901  79.761  54.793  61.020  66.682  70.600  53.004
    - [9352]  61.855  39.448  77.795  60.126  60.842  85.252  64.771  48.209  79.969
    - [9361]  86.816  91.259  71.085  86.706  80.029  80.891  68.324  24.827  79.987
    - [9370]  87.844  70.397  83.810  78.165  54.324  72.429  65.217  77.315  69.008
    - [9379]  75.284  77.637  75.947  69.662  51.811  78.132  56.851  75.692  75.674
    - [9388]  89.041  42.911  62.194  71.170  74.141  70.619  80.545  63.827  64.591
    - [9397]  63.526  46.895  75.312  56.973  53.554  65.385  74.205  47.122  46.110
    - [9406]  74.760  65.136  58.726  73.100  69.912  50.770  88.545  70.988  60.330
    - [9415]  51.272  86.407  46.805  73.232  53.056  69.302  72.760  80.571  68.561
    - [9424]  72.231  75.185  85.714  55.988  74.682  67.578  73.986  94.933  52.250
    - [9433]  82.893  85.621  54.829  81.723  71.633  44.890  89.386  77.387  71.743
    - [9442]  65.157  76.060  50.255  65.026  75.289  76.466  84.945  43.840  63.748
    - [9451]  80.124  91.150  91.862  75.495  76.166  66.891  75.078  85.845  79.304
    - [9460]  67.930  71.118  89.706  38.717  89.839  88.458  49.469  89.021  83.630
    - [9469]  91.140  72.008  91.522  78.188  85.241  80.430  82.519  71.548  60.323
    - [9478]  66.732  57.507  86.582  95.720  81.406  46.330  72.456  57.978  82.847
    - [9487]  74.048  70.787  59.961  62.975  68.193  57.929  92.399  73.936  65.515
    - [9496]  75.749  75.570  75.852  95.300  77.129  67.119  86.031  75.342  59.587
    - [9505]  73.949  87.703  62.829  55.628  67.710  87.843  96.585  87.472  66.462
    - [9514]  42.252  55.107  42.175  82.312  84.201  86.088  76.543  81.277  78.010
    - [9523]  69.853  87.123  70.564  63.375  95.555  84.340  88.655  61.981  57.557
    - [9532]  69.559  63.052  61.988  46.345  73.992  74.021  83.502  89.320  56.444
    - [9541]  88.685  74.456  67.064  44.324  76.700  87.482  86.061  73.701  66.020
    - [9550]  86.775  76.189  88.880  66.358  55.741  90.620  69.561  79.701  83.729
    - [9559]  78.716  66.964  63.242  71.595  46.148  80.726  71.978  64.898  79.408
    - [9568]  89.630  71.135  46.806  68.228  58.581  62.217  74.929  86.003  78.426
    - [9577]  54.109  91.959  74.846  52.600  81.602  83.810  82.793  88.318  72.340
    - [9586]  66.435  76.137  99.009  82.710  79.734  85.487  66.785  88.090  96.204
    - [9595]  82.235  96.745  89.737  71.730  47.737  55.408  98.095  79.726  89.948
    - [9604]  67.591  52.370  58.947  57.073  85.303  73.935  87.995  88.679  73.835
    - [9613]  90.713  86.079  62.187  58.336  85.262  62.052  66.966  52.062  86.665
    - [9622]  71.894  47.743  82.657  86.408  91.334  67.433  63.777  51.646  67.134
    - [9631]  77.240  39.756  49.737  71.212  98.139  80.792  54.567  73.640  82.076
    - [9640]  50.060  65.835  68.998  80.601  81.051  71.052  83.773  73.064  94.472
    - [9649]  85.642  28.526  63.458  76.819  72.470  83.755  60.454  52.898  83.883
    - [9658]  85.965  86.201  57.217  57.008  67.654  55.787  67.648  79.242  72.566
    - [9667]  82.382  76.955  92.057  73.248  84.179  82.586  70.537  60.062  68.410
    - [9676]  89.823  45.397  76.986  86.855  76.437  65.437  50.549  62.435  70.245
    - [9685]  96.935  73.370  83.423  64.471  85.616  79.116  55.956  68.407  77.622
    - [9694]  73.666  58.972  69.952  50.921  89.385  71.026  64.949  50.911  79.679
    - [9703]  66.766  91.488  62.845  72.907  61.847  77.726  77.535  61.420  70.231
    - [9712]  48.777  60.861  73.816  50.220  57.078  71.327  46.359  82.462  72.271
    - [9721]  62.132  53.155  53.728  64.664  79.851  69.669  54.871  46.461  62.493
    - [9730]  80.205  61.649  74.958  73.399  58.496  75.318  48.703  73.146  48.518
    - [9739]  75.741  55.722  67.259  46.164  65.583  75.452  61.941  81.067  57.013
    - [9748]  85.572  83.588  78.476  76.576  75.230  60.593  46.644  70.190  92.729
    - [9757]  69.882  86.224  66.418  76.226  74.429  51.476  78.023  47.938  23.853
    - [9766]  45.551  83.006  47.022  62.189  63.995  58.760  59.154  49.217  40.235
    - [9775]  47.678  74.177  63.853  75.912  67.080  58.858  72.195  57.743  51.306
    - [9784]  70.204  86.761  67.256  62.530  70.283  80.894  80.302  88.843  63.748
    - [9793]  78.241  63.459  86.083  84.836  51.621  59.023  61.442  65.902  67.397
    - [9802]  65.724  73.286  54.670  68.747  74.658  48.951  72.790  83.649  58.526
    - [9811]  64.864  94.103  79.427  68.885  81.871  48.680  79.957  69.093  60.519
    - [9820]  66.063  67.783  73.776  71.964  53.015  92.516  74.061  85.431  76.914
    - [9829]  79.408  48.861  57.326  48.660  79.266  66.292  84.040  76.525  54.164
    - [9838]  93.016  65.904  64.781  86.396  86.317  51.569  41.937  90.806  76.356
    - [9847]  77.765  74.112  70.696  76.821  72.194  51.808  64.495  78.773  74.522
    - [9856]  55.890  67.447  50.486  85.827  76.446  56.706  51.048  75.668  66.882
    - [9865]  45.310  44.950  52.069  86.506  59.940  60.221  87.994  76.334  77.655
    - [9874]  52.045  66.049  39.641  75.443  63.340  60.373  59.135  59.623  79.306
    - [9883]  76.050  78.669  76.396  55.322  53.926  73.809  87.095  38.772  86.648
    - [9892]  84.090  69.735  63.481  75.107  75.690  81.627  33.689  55.854  66.867
    - [9901]  56.305  60.400  54.867  62.561  86.340  83.605  76.570  71.797  77.728
    - [9910]  58.152  86.320  77.769  88.833  85.676  80.405  87.258  83.916  74.443
    - [9919]  75.813  73.388  69.215  88.832  26.935  68.872  98.782  79.353  65.004
    - [9928]  73.004  50.391  82.432  61.551  59.184  42.770  82.102  77.669  52.554
    - [9937]  77.117  62.724  53.632  80.500  88.042  86.115  52.676  70.967  67.162
    - [9946]  88.416  82.815  84.053  47.729  56.100  55.382  47.829  79.262  74.986
    - [9955]  86.181  80.855  79.105  81.374  82.146  89.054  56.331  87.873  42.472
    - [9964]  77.384 104.587  84.944  52.030  74.919  71.626  75.033  62.807  76.310
    - [9973]  69.603  40.865  42.451  83.208  70.403  82.133  36.876  85.172  48.153
    - [9982]  59.383  69.411  87.959  88.376  64.764 101.633  62.845  65.115 112.029
    - [9991]  63.440  82.264  52.796  48.248  55.148  49.043  49.000  47.348  79.500
    -[10000]  91.378  67.525  63.315  54.713  54.873  80.657  67.537  70.095  61.522
    -[10009]  82.836  73.119  88.235  98.538  80.273  46.522 103.993  86.057  77.005
    -[10018] 109.408  82.960  89.159 101.580  52.919  78.781  55.527  74.184  75.506
    -[10027]  45.108  87.263  77.013  48.012  74.439  77.802  62.116  62.912  70.318
    -[10036]  64.801  86.125  54.990  68.973  73.825  87.986  55.822  75.536  70.055
    -[10045]  81.069  88.396  63.122  58.598  75.250  76.353  78.486  68.060  39.966
    -[10054]  83.918  83.441  56.604  49.519  76.869  78.488  73.760  47.719  48.634
    -[10063]  85.104  88.698  77.909  76.611  63.857  79.491  52.603  84.112  80.771
    -[10072]  84.614  89.923  72.841  46.723  70.678  88.154  55.121  78.866  83.865
    -[10081]  89.346  64.784  72.883  72.352  87.935  75.866  73.743  45.100  80.010
    -[10090]  85.885  89.953  78.142  78.039  73.439  82.915  72.724  60.374  68.389
    -[10099]  66.683  44.239  84.460  83.234  83.425  45.668  75.593  43.525  75.560
    -[10108]  62.868  63.100  72.015  55.183  82.897  53.990  61.971  83.247  87.570
    -[10117]  77.831  86.440  84.668  42.549  82.886  76.986  77.335  69.370  87.093
    -[10126]  67.601  62.077  79.941  82.634  82.719  85.729  77.783  68.632  72.423
    -[10135]  70.515  80.067  81.846  71.499  86.791  77.966  70.456  75.236  60.668
    -[10144]  36.122  53.030  90.135  80.905  91.033  77.069  45.917  86.926  88.297
    -[10153]  68.570  89.011  80.416  78.596  78.902  78.581  88.233  60.436  75.067
    -[10162]  90.113  77.329  70.095  87.697  86.826  84.428  48.679  72.397  81.024
    -[10171]  72.460  82.260  65.279  86.145  66.593  91.159  84.595  72.415  84.693
    -[10180]  91.667  69.595  51.035  75.530  83.555  90.603  71.857  64.742  85.947
    -[10189]  95.136  74.837 109.151  43.173  77.297  41.374  74.776  65.664  79.762
    -[10198]  82.729  60.598  68.158  68.059  96.274  54.464  82.128  63.268  72.890
    -[10207]  83.815  80.194  97.281 102.860  87.533  66.720  86.125  80.517  52.708
    -[10216]  68.226  87.371  87.097  61.307  76.246  67.052  74.622  63.393  74.619
    -[10225]  28.802  62.158  88.854  65.905  70.069  63.608  72.053  92.662  81.282
    -[10234]  91.548  93.915  76.116  83.079  80.824  85.222  75.062  85.325  65.547
    -[10243]  61.491  86.799  79.845  63.229  91.066  83.283  97.508  81.523  89.787
    -[10252]  73.434  67.852  86.771  87.014  75.233 100.154  91.909  63.970  82.730
    -[10261]  93.769  86.451  60.134 107.617  93.386  62.412  65.798  66.526  70.847
    -[10270]  56.940  56.001  69.124  67.226  51.393  74.251  66.233  49.071  42.827
    -[10279]  37.582  68.764  71.840  62.006  52.257  54.316  70.102  51.526  55.661
    -[10288]  51.430  65.874  50.299  62.785  75.986  62.164  84.910  71.874  62.142
    -[10297]  45.190  58.268  62.139  78.881  53.680  51.931  49.805  57.620  55.260
    -[10306]  78.073  69.622  87.318  73.561  79.536  77.851  61.700  71.367  59.006
    -[10315]  73.375  71.590  63.828  72.442  70.623  45.945  84.493  74.511  86.101
    -[10324]  60.020  93.707  53.143  47.727  83.786  69.155  63.995  78.392  61.847
    -[10333]  68.291  62.059  70.408  64.198  69.934  66.674  75.391  91.471  56.436
    -[10342]  92.634  75.996  52.350  87.484  73.717  42.188  69.101  74.593  81.448
    -[10351]  77.032  71.370  71.157  82.989  93.359  66.284  85.684  86.180  86.921
    -[10360]  80.208  65.313  79.917  71.752  86.618  85.581  73.012  80.457  82.610
    -[10369]  68.174  63.821  84.925  82.452  77.606  85.625  88.562  89.485  68.448
    -[10378]  59.196  77.921  79.072  89.962  51.021  58.119  68.810  65.234  80.850
    -[10387]  86.966  68.815  85.272  65.961  53.796  79.302  70.265  68.401  82.654
    -[10396]  66.040  71.993  82.224  76.321  57.430  66.004  86.731  75.470  93.938
    -[10405]  58.693  89.551  73.055  79.656  61.502  79.539  61.524  80.648  76.205
    -[10414]  67.522  80.411  62.820  83.575  46.904  87.100  31.465  24.896  61.609
    -[10423]  54.300  55.708  79.628  74.780  81.057  81.120  73.485  80.303  54.552
    -[10432]  60.834  81.672  60.387  58.858  82.901  73.965  85.195  83.590  84.780
    -[10441]  60.100  42.062  86.737  75.183  89.048  54.502  50.481  63.157  42.518
    -[10450]  88.765  77.350  84.965  77.362  74.015  80.787  66.991  93.992  73.080
    -[10459]  73.346  82.486  81.695  77.166  71.321  84.246  89.870  63.792  65.614
    -[10468]  73.670  85.742  66.007  59.810  59.745  78.787  67.005  88.687  81.961
    -[10477]  59.934  76.145  64.171  54.515  68.913  56.497  88.660  73.836  33.817
    -[10486]  66.910  77.000  68.508  73.780  69.647  79.505  89.854  83.958  87.328
    -[10495]  71.618  75.933  62.264  80.948  77.460  63.575  94.312  78.278  56.419
    -[10504]  80.731  72.710  68.313  68.477  82.549  46.750  59.988  58.315  87.543
    -[10513]  64.903  74.989  61.837  84.321  67.190  67.086  61.981  62.525  54.577
    -[10522]  76.622  58.219  75.679  70.484  71.624  80.063  74.202  77.577  80.933
    -[10531]  75.465  88.850  52.831  63.647  87.115  75.405  68.202  77.867  77.324
    -[10540]  73.736  71.978  53.746  83.913  68.737  69.147  83.392  88.903  75.233
    -[10549]  73.069  34.818  78.438  75.908  51.742  85.455  64.645  69.369  87.857
    -[10558]  61.307  72.004  81.456  80.454  65.481  65.950  83.213  68.921  57.255
    -[10567]  82.009  93.876  60.023  80.347  90.066  86.050  76.233  67.149  91.108
    -[10576]  80.278  78.812  86.004  62.179  50.960  78.883  80.244  74.199  83.212
    -[10585]  64.037  95.040  85.040  82.108  88.774  94.800  63.379  69.647  83.480
    -[10594]  76.613  62.018  75.191  84.601  83.554  63.572  56.432  80.091  57.586
    -[10603]  87.687  82.345  67.890  89.587  88.779  85.493  76.253  84.153  66.466
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    -[13861]  50.679  91.150  87.572  73.255  91.570  65.498  86.213  60.274  58.673
    -[13870]  39.657  81.839  44.158  55.162  83.779  77.828  58.628  52.602  44.395
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    -[18856]  72.597  57.673  93.247  67.461  76.333  75.003  42.074  53.233  75.583
    -[18865]  63.460  56.937  50.631  61.698  82.162  65.773  73.601  97.869  82.608
    -[18874]  76.837  73.625  60.072  44.958  70.915  60.011  90.597  76.472  98.499
    -[18883]  84.539  90.742  72.710  69.699  76.789  61.727  79.261  65.076  83.214
    -[18892]  83.442  75.066  58.328  49.951  79.538  81.617  65.229  67.036  72.855
    -[18901]  78.623  69.341  92.526  91.072  84.196  84.601  64.126  77.280  75.034
    -[18910]  62.676  91.309  65.121  59.762  80.936  79.409  53.721  61.929  74.848
    -[18919]  82.841  73.690  81.178  75.211 100.057  76.480  80.512  84.603  87.965
    -[18928]  67.329  52.542  62.904  59.797  71.823  89.988  81.401  60.484  75.999
    -[18937]  48.261  66.675  68.504  82.615  56.114  68.305  74.189  70.907  50.214
    -[18946]  47.039  62.656  80.969  55.347  91.777  79.663  66.612  83.529  69.997
    -[18955]  77.792  98.650  97.582  81.315  77.946  71.250  87.834  66.665  93.698
    -[18964]  89.250  79.525  65.650  74.500  80.673  70.341  79.820  53.032  65.238
    -[18973]  77.545  80.165  83.295  58.859  83.030  81.406  46.180  77.388  88.320
    -[18982]  35.044  66.060  95.927  78.065  63.679  73.590  99.395  70.902  67.198
    -[18991]  94.478  93.593  92.899  98.276  78.480  88.893  58.964  81.585  66.381
    -[19000]  66.409  87.425  80.805  92.437  52.487  80.980  72.965  87.738  85.636
    -[19009]  92.867  90.044  80.006  66.881  76.563  96.182  86.969  87.046  46.349
    -[19018]  80.260  84.070  67.755  78.057  69.860  75.143  41.189  85.549  96.467
    -[19027]  43.936  69.918  77.115  63.154  80.471  53.507  53.448  55.478  69.892
    -[19036]  75.530  89.150  73.899  77.640  52.419  63.916  65.147  80.949  93.406
    -[19045]  66.174  83.417  64.133  85.645  61.510  75.251  88.761  80.822  58.155
    -[19054]  62.581  53.938  71.131  85.444  87.318  74.480  79.246  86.042  66.513
    -[19063]  69.899  76.104  84.748  75.575  71.845  72.116  58.311  63.454  93.089
    -[19072]  86.051  81.901  65.389  69.428  70.605  71.715  92.977  77.664  57.216
    -[19081]  62.297  77.900  78.180  81.519  56.450  78.769  62.832  81.758  68.359
    -[19090]  86.328  76.503  91.043  57.105  70.049  61.491  72.395  79.885  76.962
    -[19099]  75.158  90.101  96.818  76.588  68.542  79.959  82.196  80.006  69.406
    -[19108]  87.483  67.871  56.425  60.466  64.554  66.449  78.153  46.762  84.493
    -[19117]  67.087  73.945  77.055  86.943  77.035  54.314  85.737  86.156  71.493
    -[19126]  90.041  65.138  62.267  71.313  83.447  59.888  94.279  47.227  82.628
    -[19135]  76.108  61.610  41.818  80.826  38.975  80.808  76.877  89.979  71.912
    -[19144]  80.586  73.635  72.062  84.274  80.701  62.517  84.511  76.816  82.214
    -[19153]  45.457  78.122  65.984  77.878  64.699  71.892  53.427  66.526  91.837
    -[19162]  82.279  75.978  76.309  76.888  64.185  66.210  82.091  89.302  88.222
    -[19171]  89.461  75.832  74.446  85.195  81.360  52.729  79.848  60.732  78.861
    -[19180]  85.143  86.995  77.487  88.934  68.748 100.306  37.352  93.867  99.438
    -[19189]  91.538  71.553  58.075  64.094  94.151  82.469  69.237  68.088  78.873
    -[19198]  74.960  64.301  77.564  67.355  76.088  60.069  52.592  88.425  72.601
    -[19207]  50.542  73.433  52.546  72.636  61.142  50.738  88.131  62.174  63.975
    -[19216]  79.077  49.339  81.522  70.751  75.802  45.605  35.315  67.831  73.897
    -[19225]  85.835  61.032  55.441  66.051  62.337  49.775  52.606  42.581  48.396
    -[19234]  50.374  64.170  47.903  77.620  85.701  57.507  58.093  52.159  70.517
    -[19243]  46.008  63.867  84.852  53.440  57.971  70.241  67.071  69.563  66.661
    -[19252]  42.309  49.535  53.646  41.159  64.773  52.759  70.355  75.952  63.431
    -[19261]  52.793  65.437  71.880  68.748  55.032  86.060  69.016  61.726  72.801
    -[19270]  57.673  68.251  55.600  49.389  82.235  57.242  60.916  82.778  64.784
    -[19279]  67.459  81.401  38.171  52.502  65.138  65.884  68.567  67.984  80.797
    -[19288]  77.650  67.521  31.876  67.149  67.803  82.489  55.857  84.351  40.965
    -[19297]  75.763  71.044  56.547  89.362  57.218  75.520  53.214  54.110  86.850
    -[19306]  63.568  66.569  70.720  59.213  84.405  57.688  77.698  64.138  69.612
    -[19315]  69.802  47.072  76.059  64.194  84.636  65.989  75.878  40.849  41.999
    -[19324]  98.991  62.904  77.138  55.788  66.653  54.814  60.313  65.120  88.301
    -[19333]  83.662  42.879  46.685  70.615  67.381  47.190  53.224  50.555  63.791
    -[19342]  73.789  71.655  63.114  59.033  70.727  94.152  60.310  67.413  61.055
    -[19351]  82.332  62.444  72.564  84.923  53.022  68.011  77.029  51.932  54.902
    -[19360]  88.198  73.337  61.297  46.163  82.191  58.294  70.050  70.146  59.300
    -[19369]  63.129  65.991  57.178  53.922  84.756  43.564  69.515  62.324  81.674
    -[19378]  73.693  53.249  73.181  61.676  70.909  68.976  72.332  56.684  42.755
    -[19387]  61.128  35.248  79.715  78.719  39.779  57.587  87.295  70.387  64.279
    -[19396]  58.612  74.689  77.559  70.129  66.623  58.125  40.877  67.760  55.485
    -[19405]  76.607  73.879  69.743  39.130  52.857  75.558  40.725  70.146  81.308
    -[19414]  61.148  64.575  58.738  75.143  83.465  54.413  47.539  82.778  65.321
    -[19423]  76.228  62.555  40.275  75.589  84.409  66.924  57.410  63.703  76.720
    -[19432]  52.671  54.421  72.974  79.563  41.777  71.967  41.042  54.697  78.965
    -[19441]  67.627  78.509  72.679  90.992  60.295  71.057  71.528  84.310  76.680
    -[19450]  26.524  83.770  71.738  66.362  75.988  74.128  56.267  71.030  24.649
    -[19459]  54.953  45.145  56.836  51.996  53.688  36.749  36.330  48.806  69.296
    -[19468]  40.311  58.410  52.885  57.930  56.350  31.118  55.720  66.800  51.783
    -[19477]  82.227  28.391  59.392  24.060  42.431  56.830  45.736  52.087  75.811
    -[19486]  16.574  45.737  60.160  49.663  45.429  58.958  56.790  53.913  53.148
    -[19495]  65.309  54.043  69.929  35.561  47.129  57.553  70.569  32.753  54.093
    -[19504]  61.428  52.817  45.337  85.566  73.629  68.606  57.283  84.581  85.288
    -[19513]  74.710  51.865  86.299  53.606  54.930  87.331  79.405  91.804  70.809
    -[19522]  71.231  71.741  63.076  69.989  78.629  82.913  57.533  75.585  76.215
    -[19531]  61.733  68.316  64.710  82.220  84.612  58.210  80.887  68.872  69.888
    -[19540]  46.934  74.667  58.261  69.918  73.061  71.408  59.499  77.715  84.360
    -[19549]  74.303  70.730  87.726  62.187  68.849  61.050  87.683  77.556  81.640
    -[19558]  73.144  70.631  35.195  64.586  88.205  61.777  82.689  71.891  65.593
    -[19567]  86.999  73.423  63.096  79.639  54.425  77.660  83.167  61.306  87.892
    -[19576]  49.442  76.805  62.087  80.431  79.133  76.016  66.318  49.300  78.443
    -[19585]  73.534  63.639  73.662  77.357  73.837  72.791  52.080  74.244  56.162
    -[19594]  43.559  85.315  63.870  50.854  75.409  59.332  73.890  81.339  68.001
    -[19603]  82.746  59.201  45.310  54.433  42.151  84.599  84.690  44.323  63.275
    -[19612]  37.069  72.579  67.741  14.187  76.272  88.662  85.129  51.466  60.873
    -[19621]  78.622  70.733  75.421  51.104  82.395  83.076  63.193  65.637  62.175
    -[19630]  65.997  88.282  87.765  87.649  63.083  67.416  84.616  84.576  84.163
    -[19639]  77.208  52.294  74.026  84.865  73.715  51.449  72.266  74.320  64.152
    -[19648]  72.620  82.021  77.030  67.210  57.172  65.748  85.382  63.831  59.604
    -[19657]  82.085  74.576  71.781  50.765  69.842  93.303  86.827  87.838  68.978
    -[19666]  81.350  81.859  75.652  51.726  63.839  59.547  73.900  71.227  52.421
    -[19675]  59.635  76.638  76.630  74.176  68.831  75.824  64.936  79.051  50.965
    -[19684]  56.761  71.762  60.658  52.045  44.459  53.128  84.384  50.953  74.464
    -[19693]  87.074  58.723  49.001  63.378  49.634  60.661  88.851  71.726  53.604
    -[19702]  74.734  53.963  63.220  77.533  68.538  84.982  72.925  96.561  79.207
    -[19711]  60.432  71.872  75.378  79.112  83.026  85.293  46.881  68.490  86.950
    -[19720]  82.791  74.806  79.197  79.015  68.056  47.499  70.409  49.668  52.949
    -[19729]  64.472  83.737  64.340  58.102  79.087  82.398  72.977  77.041  54.277
    -[19738]  68.797  58.053  88.251  55.359  79.718  59.815  59.876  71.006  72.996
    -[19747]  39.290  67.984  86.077  67.369  44.310  51.527  85.320  77.003  59.456
    -[19756]  85.837  43.000  67.369  64.969  78.888  67.068  49.546  69.509  76.684
    -[19765]  73.770  80.355  65.213  50.144  73.117  37.480  80.771  71.093  65.779
    -[19774]  69.735  58.691  79.226  87.229  67.827  59.200  73.469  46.032  50.988
    -[19783]  86.710  60.000  77.391  87.889  83.436  80.225  90.468  77.671  79.703
    -[19792]  53.736  73.297  56.683  69.292  79.754  73.099  53.056  74.675  73.010
    -[19801]  30.592  75.480  53.483  73.208  69.848  78.431  64.895  56.373  60.848
    -[19810]  74.678  68.349  83.161  87.117  71.962  75.600  51.362  71.762  65.316
    -[19819]  55.767  61.998  64.141  77.277  75.124  44.915  51.208  48.429  69.283
    -[19828]  79.739  79.094  43.807  59.836  60.595  53.709  41.199  63.727  48.247
    -[19837]  48.557  57.868  87.241  52.954  64.241  68.486  83.922  86.091  48.283
    -[19846]  62.929  64.397  63.236  81.291  45.020  62.061  58.771  72.589  60.663
    -[19855]  53.075  77.087  57.625  56.144  82.247  82.960  59.868  68.729  53.998
    -[19864]  72.381  81.357  43.965  72.852  59.821  71.558  38.916  77.599  49.044
    -[19873]  75.863  75.039  60.006  80.160  48.593  64.341  76.048  64.227  84.619
    -[19882]  74.372  59.296  62.288  57.195  78.205  33.197  62.543  49.950  76.511
    -[19891]  78.678  61.693  75.009  50.948  48.110  51.982  76.231  45.198  72.263
    -[19900]  53.049  86.405  58.152  76.700  68.640  31.861  79.277  64.621  68.963
    -[19909]  65.046  66.113  84.786  74.854  52.837  41.715  61.059  61.896  86.919
    -[19918]  74.424  69.695  42.249  44.458  78.402  71.170  59.213  19.825  71.322
    -[19927]  75.509  72.850  54.882  66.045  77.934  45.222  24.435  66.111  60.309
    -[19936]  54.143  76.980  48.087  89.937  40.426  67.553  60.679  52.765  87.727
    -[19945]  65.359  75.042  58.363  80.532  73.940  74.456  58.725  75.237  85.990
    -[19954]  58.196  47.683  68.026  81.395  78.326  62.898  62.632  53.284  63.046
    -[19963]  60.718  63.589  69.400  54.595  35.280  77.640  76.757  66.532  46.114
    -[19972]  69.472  75.646  50.828  67.180  74.002  72.389  71.787  60.228  49.843
    -[19981]  80.686  91.544  94.004  68.540  77.255  62.613  67.468  80.810  65.808
    -[19990]  45.395  81.117  63.005  67.229  69.104  54.603  52.417  80.331  67.056
    -[19999]  86.311  51.556  81.386  54.022  86.349  77.295  66.786  83.592  80.949
    -[20008]  80.650  74.367  65.763  54.468  74.475  54.685  64.437  60.949  69.260
    -[20017]  75.204  88.211  76.291  80.395  78.731  58.780  65.781  51.512  76.510
    -[20026]  75.774  81.771  77.900  44.695  81.779  74.331  38.906  73.468  36.859
    -[20035]  70.309  61.586  77.852  81.621  85.198  65.888  74.595  75.753  74.167
    -[20044]  59.698  66.818  71.926  84.533  77.878  90.884  36.841  72.796  79.384
    -[20053]  78.226  62.300  47.367  58.548  94.707  44.196  79.224  70.896  60.352
    -[20062]  70.899  89.036  69.632  89.934  60.015  72.543  70.616  63.376  89.774
    -[20071]  32.523  73.554  85.777  41.006  61.398  56.210  54.821  62.975  84.462
    -[20080]  78.723  58.363  59.830  76.696  67.878  79.541  82.971  77.593  73.014
    -[20089]  69.080  77.799  90.524  69.201  68.987  73.341  79.914  76.856  74.656
    -[20098]  80.116  63.692  85.977  82.995  88.040  51.360  71.198  76.180  86.608
    -[20107]  86.254  85.632  68.251  78.105  80.588  82.011  67.993  75.936  69.713
    -[20116]  77.601  81.673  71.335  62.962  70.202  84.392  51.941  75.933  85.444
    -[20125]  70.982  69.743  85.005  88.183  86.303  72.352  61.866  81.840  79.403
    -[20134]  62.521  67.267  71.334  68.540  79.651  58.099  71.666  75.009  71.923
    -[20143]  69.486  90.521  80.735  74.276  90.527  75.409  69.780  87.864  81.424
    -[20152]  84.262  73.187  74.278  65.043  75.726  51.016  80.631  76.149  69.453
    -[20161]  54.399  64.950  54.623  67.183  70.613  81.859  79.626  82.959  76.397
    -[20170]  65.764  85.708  75.293  54.293  56.817  68.835  72.029  57.552  80.495
    -[20179]  70.525  76.372  76.339  51.044  87.601  82.078  84.417  64.209  65.251
    -[20188]  81.316  61.522  77.175  48.189  79.210  82.784  89.593  86.459  66.452
    -[20197]  85.306  73.244  81.009  66.767  74.554  76.321  51.320  56.659  83.808
    -[20206]  53.337  61.578  73.054  68.172  82.374  52.726  60.858  75.209  61.693
    -[20215]  80.184  85.905  57.025  65.776  76.773  74.090  39.331  84.028  66.559
    -[20224]  70.959  86.566  53.165  74.822  88.322  73.782  83.477  57.856  81.994
    -[20233]  86.614  54.598  62.772  61.650  56.001  64.650  74.834  92.278  81.530
    -[20242]  80.271  84.635  59.083  90.255  72.910  85.451  71.429  65.178  78.000
    -[20251]  54.723  92.333  46.916  66.607  75.930  97.944  94.091  94.642  78.043
    -[20260]  62.457  69.486  60.181  70.244  68.456  76.516  80.975  78.550  87.926
    -[20269]  73.698  80.448  84.113  70.210  91.260  85.174  53.410  90.415  88.278
    -[20278]  96.737  90.578  82.134  80.156  74.227  82.425  77.938  96.774  84.685
    -[20287]  66.389  54.893  66.031  71.206  89.430  96.679  94.135  72.194  86.159
    -[20296]  91.084  75.837  87.919  85.361  75.765  66.839  84.112  78.602  80.818
    -[20305]  73.488  96.325  87.689  95.249  80.322  64.584  89.164  78.151  61.538
    -[20314]  92.510  90.458  74.927  78.561  67.251  58.446  72.550  67.392  76.891
    -[20323]  95.771  95.736  59.616  86.043  76.310  82.803  83.229  88.520  54.958
    -[20332]  91.612  95.401  99.704  69.570  74.477  83.880  87.588  69.470  98.100
    -[20341]  86.326  81.557  45.311  84.974  88.331  80.576  70.631  85.492  70.975
    -[20350]  50.798  58.880  95.228  82.097  89.365  72.753  74.964  74.757  74.388
    -[20359]  81.141  82.083  61.782  82.639  90.561  72.206  76.751  70.261  71.879
    -[20368]  94.463  44.803  68.643  73.919  78.392  72.112  77.516  60.375  86.753
    -[20377]  81.014  94.647  95.789  85.590  87.343  69.943  68.701  85.133  78.584
    -[20386]  93.682  60.071 106.617  78.441  53.352  89.234  93.904  50.946  66.136
    -[20395]  88.216  73.614  82.104  73.515  77.597  63.444  75.166  91.779  53.109
    -[20404]  58.540  57.786  96.242 108.831  80.184  76.040  71.870 108.415  87.913
    -[20413]  95.483  92.767  82.460  76.666  73.208  98.099  98.581  97.048  76.761
    -[20422]  90.757 101.630  87.556 102.960  90.537  89.339  67.230  72.567  65.545
    -[20431]  77.340  64.769  80.954  87.344  46.316  70.150  89.469  69.146  45.198
    -[20440]  56.081  88.799  75.449 102.641  89.929  72.615  74.209  81.601  85.186
    -[20449]  74.648  62.972  75.127  62.184  94.359  54.602  64.228  70.150  35.934
    -[20458]  86.787  57.756  58.205  88.547  88.566  84.894  73.832  66.159  83.085
    -[20467]  67.177  57.617  54.578  83.820  59.579  99.713  96.205  94.883  80.530
    -[20476]  65.888  73.772  60.887  68.727  41.453  43.566  62.405  47.146  63.363
    -[20485]  61.380  77.299  79.336  54.694  85.494  73.255  85.844  88.298  83.462
    -[20494]  86.491  72.275  70.932  77.515  62.738  67.420  34.760  86.487  69.161
    -[20503]  80.566  78.003  98.832  80.567  46.864  80.704  87.544  26.984  92.430
    -[20512]  73.587  79.132  61.758  71.251  60.995  73.290  71.711  62.229  76.400
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    -[21583]  70.758  57.377  43.444  48.970  57.504  73.416  72.882  92.542  66.550
    -[21592]  70.921  84.301  70.610  52.545  71.215  75.672  63.121  70.843  45.167
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    -[21826]  91.065 107.820  53.087  78.256  60.234  77.878  72.785  79.555  64.608
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    -[21862]  86.013  75.899  72.506  76.108  84.440  78.723  86.611  80.926  54.698
    -[21871]  63.950  36.607  77.241  70.701  66.810  85.445  93.918  50.846  86.687
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    -[21898]  94.982  74.375  73.278  61.202  37.790  88.867  50.934  94.124  93.936
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    -[21916]  91.562  73.178  68.518  74.396  75.530  66.381  90.164  92.227  78.750
    -[21925]  53.863  82.563  76.194  78.676  88.368  61.852  77.463  74.427  97.088
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    -[21943]  61.347  87.510  94.849  69.170  84.152  75.964  80.735  69.391  81.463
    -[21952]  75.275  82.009  74.574  75.967  80.556  84.182  76.153  87.006  64.734
    -[21961]  94.261  93.701  97.062  91.282  75.101  77.170  87.726  84.725  69.591
    -[21970]  87.962  84.624  83.680  88.899  84.795  81.904  69.127  93.733  85.978
    -[21979]  76.091  72.783  58.281  89.878  84.435  89.767  68.077  61.985  89.566
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    -[21997]  75.414  82.197  54.407  83.031  68.090  94.251  80.360  83.700  44.859
    -[22006]  71.486  75.500  53.469  78.058  62.615  63.877  74.190  88.636  65.795
    -[22015]  73.479  69.193  62.001  93.114  72.296  71.356  77.825  69.587  50.711
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    -[22033]  77.875  60.468  69.510  54.241  62.467  57.800  65.710  73.363  82.475
    -[22042]  76.836  81.281  93.332  55.191  64.013  87.632  94.066  29.615  79.067
    -[22051]  71.502  59.145  79.573  88.885  60.815  80.350  60.179  40.803  80.979
    -[22060]  77.351  70.736  88.403  88.672  73.273  62.166  61.445  50.788  40.399
    -[22069]  64.670  79.045  71.007  67.018  75.193  58.560  37.068  79.881  61.575
    -[22078]  52.784  68.448  85.352  67.934  50.985  74.190  67.221  77.193  69.100
    -[22087]  66.566  79.005  71.238  63.786  74.873  85.884  72.524  80.706  43.911
    -[22096]  49.889  56.178  72.051  65.293  47.193  66.320  21.621  48.121  63.191
    -[22105]  75.656  58.517  55.154  88.743  85.449  86.777  68.357  63.580  58.948
    -[22114]  61.833  88.828  91.539  76.754  87.800  76.112  86.992  72.392  86.890
    -[22123]  71.505  70.343  82.452  81.234  76.081  92.919  66.334  73.759  89.340
    -[22132]  90.801  87.475  69.560  60.687  62.689  85.060  75.079  86.362  62.228
    -[22141]  77.566  80.090  85.693  89.105  79.855  88.482  61.072  71.639  64.143
    -[22150]  75.243  53.677  70.244  73.040  63.836  60.836  59.742  69.787  77.278
    -[22159]  69.813  94.720  63.427  76.871  87.744  60.772  64.281  66.173  76.299
    -[22168]  77.899  65.533  69.618  82.280  57.409  74.845  81.642  50.246  75.530
    -[22177]  74.099  77.590  69.778  89.292  80.010  63.057  54.545  72.206  66.581
    -[22186]  84.200  89.159  52.761  71.293  84.677  58.189  66.505  63.120  67.634
    -[22195]  89.132  85.029  77.995  71.217  66.616  79.622  87.462  56.799  83.272
    -[22204]  52.868  79.252  81.289  76.691  65.559  69.476  65.647  59.147  63.415
    -[22213]  86.296  94.343  59.916  72.081  74.429  63.251  85.538  76.641  81.020
    -[22222]  56.567  79.583  84.041  54.493  78.044  61.502  86.769  73.688  76.079
    -[22231]  80.556  78.012  78.313  65.824  83.332  60.554  56.869  56.429  87.032
    -[22240]  70.839  80.694  49.736  85.192  72.233  86.566  73.724  85.100  68.766
    -[22249]  85.218  71.235  80.812  88.466  74.607  82.719  66.921  56.972  56.832
    -[22258]  55.764  78.390  77.378  69.138  89.553  60.682  91.887  87.726  77.258
    -[22267]  88.708  62.174  72.571  73.870  44.472  84.037  92.576  82.548  54.076
    -[22276]  85.472  17.502  85.234  85.845  52.431  79.093  72.424  82.073  72.783
    -[22285]  75.281  73.810  60.210  76.940  85.672  57.961  58.849  75.159  70.460
    -[22294]  85.377  76.160  75.135  55.545  55.350  93.360  70.566  60.485  79.650
    -[22303]  80.716  84.398  88.707  83.699  81.408  76.690  56.980  61.588  82.462
    -[22312]  67.627  84.834  70.863  71.665  62.438  58.505  75.747  61.641  68.007
    -[22321]  68.048  64.609  84.161  70.068  82.440  63.294  64.449  66.797  49.707
    -[22330]  59.963  85.348  73.718  68.957  85.723  66.048  62.032  77.701  54.037
    -[22339]  81.510 101.589  40.708  83.427  70.768  71.367  69.226  80.414  71.041
    -[22348]  71.741  63.332  86.089  70.209  56.550  73.650  85.517  63.008  56.200
    -[22357]  70.880  56.387  59.125  76.721  54.621  75.964  68.424  57.109  90.584
    -[22366]  55.801  71.894  56.123  61.875  85.104  78.338  87.037  78.907  71.426
    -[22375]  60.346  89.333  83.309  52.806  57.626  65.513  87.034  69.004  82.997
    -[22384]  85.566  86.039  69.234  77.476  73.602  69.412  82.017  70.494  84.750
    -[22393]  66.710  46.020  74.267  88.771  69.642  77.333  87.719  75.777  80.195
    -[22402]  76.498  70.844  84.465  89.880  71.668  41.510  71.870  59.507  63.728
    -[22411]  62.454  64.090  77.110  66.091  67.966  67.421  53.242  84.725  69.639
    -[22420]  67.463  71.043  78.893  51.686  75.002  56.724  58.765  68.100  65.827
    -[22429]  73.063  66.949  41.058  47.767  93.024  58.510  80.135  61.843  49.052
    -[22438]  73.670  63.317  89.571  77.045  63.893  80.094  78.725  51.924  67.332
    -[22447]  51.858  57.729  57.626  61.573  96.854  64.610  46.463  72.628  56.363
    -[22456]  84.011  88.928  64.920  48.694  44.435  54.254  54.516  61.583  49.475
    -[22465]  87.115  98.999  65.736  45.282  81.100  78.310  81.102  82.092  84.892
    -[22474]  77.876  64.142  76.091  79.659  55.216  56.260  60.613  75.336  71.841
    -[22483]  66.422  72.352  72.429  83.275  75.403  55.716  91.260  71.838  45.692
    -[22492]  54.012  67.235  69.315  70.677  57.487  58.580  64.619  41.323  52.883
    -[22501]  76.044  82.265  49.866  47.385  64.418  58.620  73.836  73.900  76.148
    -[22510]  82.221  84.954  87.832  88.753  71.412  66.574  68.235  61.625  84.023
    -[22519]  32.999  75.029  61.753  71.250  85.841  45.141  76.050  56.016  71.019
    -[22528]  71.903  69.360  61.264  72.585  58.125  83.106  82.546  82.860  94.515
    -[22537]  75.695  70.541  68.952  77.035  71.736  92.231  65.603  93.613  79.638
    -[22546]  81.304  53.784  71.312  70.804  89.081  63.010  62.862  59.761  69.017
    -[22555]  63.694  68.960  72.679  87.355  83.810  51.937  60.362  71.654  71.608
    -[22564]  87.797  57.454  85.060  72.952  75.190  69.403  94.600  64.353  68.993
    -[22573]  73.544  78.156  86.752  85.272  63.545  71.919  79.216  86.562  71.204
    -[22582]  70.975  84.154  71.842  79.663  62.261  86.893  83.842  88.840  72.614
    -[22591]  76.355  73.816  80.011  74.983  73.018  58.388  58.245  89.385  81.285
    -[22600]  73.459  89.858  73.842  66.926  80.120  69.091  79.600  78.124  80.308
    -[22609]  74.935  60.973  67.270  80.400  85.999  77.513  79.125  69.004  77.077
    -[22618]  89.672  81.294  48.783  65.172  91.844  74.153  68.594  75.781  76.235
    -[22627]  45.687  82.295  72.676  73.417  72.665  86.967  53.459  50.575  75.964
    -[22636]  77.791  80.528  71.688  75.340  64.553  77.336  80.418  84.733  75.211
    -[22645]  72.280  77.542  79.096  72.467  72.597  87.787  78.804  84.012  87.006
    -[22654]  74.275  87.980  89.405  56.735  70.583  67.816  75.940  84.866  71.388
    -[22663]  71.267  70.352  69.357  66.610  83.134  72.639  84.570  96.337  65.117
    -[22672]  72.666  81.059  86.895  71.079  82.763  71.313  75.330  84.774  71.400
    -[22681]  85.286  77.942  58.602  55.243  42.026  54.228  97.668  71.900  68.861
    -[22690]  46.008  63.027  80.605  84.235  72.536  65.463  66.193  77.979  72.646
    -[22699]  79.470  77.525  87.710  61.194  92.328  74.666  78.917  76.229  66.995
    -[22708]  66.345  83.663  68.350  81.813  76.588  78.495  86.304  69.811  51.952
    -[22717]  80.757  72.689  79.396  70.714  64.383  71.819  61.320  86.182  43.668
    -[22726]  79.511  70.481  61.905  77.915  71.411  77.669  53.525  79.616  92.376
    -[22735]  84.123  74.591  66.543  76.768  81.147  82.552  67.852  88.777  73.465
    -[22744]  70.105  80.587  76.858  45.251  78.899  76.285  73.045  66.974  60.137
    -[22753]  60.291  81.756  74.593  71.636  67.078  83.293  66.830  74.410  72.494
    -[22762]  78.735  64.223  72.446  88.448  58.383  83.451  91.747  73.579  86.060
    -[22771]  77.184  77.550  83.318  86.319  84.328  56.157  86.515  84.529  61.593
    -[22780]  92.584  61.541  95.021  69.389  96.266  72.985  70.939  59.228  67.081
    -[22789]  60.322  58.091  86.150 104.202  90.753 106.838  90.545 105.366  47.964
    -[22798]  55.413  73.204  43.689  70.584 106.816  83.779  73.117  80.917  60.339
    -[22807]  81.218  77.456  71.908  75.571  84.501  80.648  88.792  52.609 107.747
    -[22816] 102.146  93.515  89.438  98.570  97.143  71.719 101.520  82.737  75.883
    -[22825]  98.938  62.527  86.691  78.338  92.156  59.500  83.909  94.662  67.556
    -[22834]  95.180  61.104  76.173  92.598  97.229  96.890  67.013  97.958  81.542
    -[22843]  78.383  94.240  57.280  72.786  81.175  96.001  46.986 109.888  95.187
    -[22852]  77.830  81.445  92.510  67.078  85.173  69.845  65.635  98.870  92.562
    -[22861]  73.497  56.381  97.467 100.098  99.498 109.060  92.168  72.297  82.415
    -[22870]  53.358  90.096  81.989  43.590  93.672  74.132  93.653  82.485  37.678
    -[22879]  74.940  84.373 102.577  53.478  83.877  86.081  92.389  81.128 101.475
    -[22888]  64.054  54.846  78.305  72.285  58.605  76.623  69.165  87.922  75.231
    -[22897]  78.131  82.009  43.210  77.284  71.366  69.627  42.280  77.492  59.960
    -[22906]  78.835  86.950  79.417  98.715  52.499  85.882  58.806  98.278  71.736
    -[22915]  73.538  82.501  46.835  65.246  46.862  97.037  78.888  55.419  84.361
    -[22924]  81.616  42.963  74.573  73.852  79.136  88.475  74.506  58.623  85.960
    -[22933]  83.333  60.277  50.000  86.925  89.453  86.641  71.847  79.529  66.879
    -[22942]  81.942  81.795  87.682  77.713  33.834  71.013  68.294  64.703  90.765
    -[22951]  33.644  88.813  62.583  76.586  76.139  77.821  79.242  63.192  73.360
    -[22960]  68.967  80.587  63.879  79.428  54.628  62.441  78.300  39.580  60.929
    -[22969]  95.221  81.180  71.563  82.034  83.929  65.638  88.862  88.535  59.206
    -[22978]  85.966  89.597  70.275  82.388  85.510  58.631  61.895  96.576  91.631
    -[22987]  84.084  87.697  67.633  85.591  82.205  79.468  89.225  61.205  81.963
    -[22996]  66.196  81.383  72.053  70.795  66.617  75.112  68.697  53.519  46.875
    -[23005]  45.785  86.040  50.937  68.540  68.002  63.600  50.306  51.510  76.052
    -[23014]  85.887  68.615  89.216  68.880  87.006  81.639  75.713  71.631  84.137
    -[23023]  71.575  66.668  80.777  67.376  74.411  72.040  71.936  76.447  53.569
    -[23032]  70.130  63.511  77.353  48.601  76.835  57.128  57.945  52.622  77.531
    -[23041]  46.990  61.766  81.176  66.284  74.192  77.867  77.805  86.644  79.902
    -[23050]  83.499  76.285  70.063  76.748  62.154  38.466  69.922  81.680  82.690
    -[23059]  71.601  62.887  74.321  50.120  63.113  72.644  88.095  92.634  71.967
    -[23068]  78.245  80.377  89.911  82.819  65.325  66.324  82.552  62.550  70.725
    -[23077]  70.568  63.725  84.164  60.605  75.655  69.885  86.980  68.890  80.958
    -[23086]  54.482  73.520  84.558  49.933  79.041  82.323  89.685  70.914  81.243
    -[23095]  88.626  75.493  52.755  82.840  89.240  79.883  79.978  71.053  68.658
    -[23104]  86.935  71.976  76.068  50.381  75.750  54.598  86.360  87.294  88.232
    -[23113]  80.717  82.435  68.499  78.509  54.664  64.130  83.370  87.157  82.255
    -[23122]  77.173  77.022  84.410  85.739  84.031  90.059  72.257  80.398  89.911
    -[23131]  63.138  65.808  77.517  64.950  76.894  88.531  69.764  58.233  78.672
    -[23140]  82.766  55.639  96.347  49.849  97.910  85.673  89.453  70.968  73.697
    -[23149]  78.323  90.621  53.898  88.535  79.556  60.822  61.191  88.592  64.911
    -[23158]  95.008  77.470  80.914  56.683  59.271  81.308  92.202  77.163  86.886
    -[23167]  77.332  71.308  69.020  83.548  88.895  88.676  81.193  70.305  84.772
    -[23176]  82.900  93.100  80.088  84.287  94.816  76.346  86.363  91.232  83.296
    -[23185]  75.312  90.956  89.963  88.822  72.800  87.530  87.997  92.743  79.458
    -[23194]  87.577  87.946  69.584  64.333  87.467  73.851  73.891  56.813  86.742
    -[23203]  81.145  97.641  82.250  88.256  40.793  96.428  81.324  60.805  78.044
    -[23212]  83.937  87.788  86.217  85.479  89.962  92.078  76.562  59.515  73.972
    -[23221]  75.979  98.011  91.208  87.579  77.912  74.307  73.415  87.958  63.731
    -[23230]  69.705  96.205  78.550  60.894  94.246  81.640  77.084  65.401  76.559
    -[23239]  93.323  81.253  74.586  84.753  58.215  71.823  64.550  84.868  85.838
    -[23248]  74.699  94.104  94.678  82.124  73.851  89.710  93.644  88.303  79.547
    -[23257]  71.240  89.515  76.167  72.370  90.307  50.423  84.617  67.379  88.582
    -[23266]  81.087  85.327  51.791  46.563  93.675  93.955  77.767  81.839  94.106
    -[23275]  91.963  78.722  79.860  92.968  87.440  75.378  92.011  85.671  90.232
    -[23284]  88.004  71.535  53.380  97.976  88.113  72.251  82.999  93.618  52.350
    -[23293]  45.669  81.710  79.043  81.915  71.468  56.804  84.936  88.895  93.211
    -[23302]  83.028  75.811  88.336  83.120  75.713  83.599  77.748  70.996  94.595
    -[23311]  46.347  76.293  73.751  93.877  51.341  84.941  83.561  84.897  88.143
    -[23320]  92.859  80.569  61.100  88.001  84.844  49.664  88.981  91.885  68.879
    -[23329] 109.025  83.196  69.961  92.597  67.218  82.389  75.100  52.188  88.942
    -[23338]  77.681  74.592  75.307  67.927  71.064  82.895  96.827  66.383  92.120
    -[23347]  83.870  84.782  80.735  76.997  82.801 108.533  79.834  88.207  63.925
    -[23356]  70.244  89.578  92.624  89.663  74.804  79.709 100.857  78.733 107.106
    -[23365]  72.865  92.877  75.231  86.002  78.248  75.567  75.009  84.258  77.897
    -[23374]  97.644  79.060  86.858  75.282  82.828  88.348  88.854  77.923  93.348
    -[23383]  70.354  91.223  94.477  84.057  61.403 108.042  72.644  98.109  68.046
    -[23392]  66.135  88.648  66.409  65.627  86.968  65.915  88.444 106.880 109.362
    -[23401]  94.353  68.010  63.589  65.022  79.997  93.846  98.396 104.665  73.162
    -[23410]  89.890  96.908  67.729  60.543  86.221  83.176  96.529  64.906  64.375
    -[23419]  87.229  83.821  84.671  92.738  81.600  47.510  40.368  51.140  70.344
    -[23428]  89.608  82.617  78.737  51.131  71.658  66.757  86.212  63.708  56.234
    -[23437]  84.454  56.053  84.668  70.660  62.870  73.761  77.126  68.967  74.798
    -[23446]  61.073  71.555  75.880  51.730  88.283  36.544  87.427  77.309  77.247
    -[23455]  76.465  85.879  81.114  42.424  82.352  64.309  74.626  69.010  60.382
    -[23464]  77.629  78.020  63.406  73.493  69.820  75.269  57.645  48.787  81.391
    -[23473]  80.257  72.640  76.472  83.544  87.382  83.162  70.077  55.105  78.628
    -[23482]  89.298  87.283  53.220  78.163  79.281  86.998  54.206  85.414  71.188
    -[23491]  77.863  89.447  89.366  80.958  76.399  81.707  61.815  66.002  79.382
    -[23500]  83.499  68.345  64.824  74.178  60.002  76.612  65.402  78.066  84.645
    -[23509]  78.710  97.855  84.672  71.136  83.831  68.719  66.954  91.195  82.311
    -[23518]  76.099  67.111  67.485  50.880  81.629  61.603  64.437  71.432  85.159
    -[23527]  47.546  87.516  78.835  40.768  71.625  62.988  47.240  77.201  58.452
    -[23536]  87.720  82.291  73.753  80.853  81.567  88.716  86.568  70.133  48.460
    -[23545]  72.172  75.041  71.051  75.106  71.994  72.232  71.718  76.401  62.802
    -[23554]  98.929  88.092  81.208  85.558  79.203  81.490  75.786  82.865  84.852
    -[23563]  66.984  77.683  78.759  93.734  91.979  83.346  93.735  81.834  74.856
    -[23572]  75.423  61.654  95.752  83.104  85.042  58.562  48.211  59.457  53.837
    -[23581]  76.567  68.585  60.387  82.195  80.022  74.727  62.399  79.984  66.945
    -[23590]  39.966  78.265  83.336  60.506  47.670  84.068  83.753  65.063  78.890
    -[23599]  77.357  42.451  81.763  95.959  67.872  84.266  43.128  76.272  87.685
    -[23608]  65.585  54.805  60.223  76.703  71.705  76.094  75.681  59.825  73.849
    -[23617]  92.354  56.536  67.848  87.547  67.800  91.620  88.880  85.143  65.044
    -[23626]  55.250  75.463  90.373  74.780  70.690  70.800  74.382  83.856  72.091
    -[23635]  75.675  88.191  88.295  85.924  78.381  81.290  91.100  56.294  82.119
    -[23644]  57.863  75.758  70.424  61.963  78.630  72.054  78.405  86.110  56.935
    -[23653]  85.221  87.040  86.465  75.580  75.706  72.235  87.996  74.146  79.034
    -[23662]  77.584  82.276  82.500  78.824  81.442  78.038  75.543  74.234  75.615
    -[23671]  73.643  82.322  82.339  93.306  70.492  57.518  60.641  63.246  89.357
    -[23680]  88.188  71.655  88.386  48.787  76.650  75.045  82.467  67.350  85.793
    -[23689] 100.668  75.396  68.456  83.312  84.779  62.064 106.282  62.617  88.363
    -[23698]  79.608  77.699  68.536  83.051  67.081  78.950  84.739  97.622  65.706
    -[23707]  83.665  32.110  81.454  80.996  78.513  80.767  85.302  93.314  63.809
    -[23716]  73.711  47.715  77.069  77.271  55.885 109.330  82.493  77.535  82.752
    -[23725]  86.347  95.229  85.569 104.470  85.232  86.438  82.717  89.586  95.414
    -[23734]  74.017 106.915  49.693  71.538  99.077  95.138 101.988  84.367  70.651
    -[23743]  93.336  92.112  83.411  67.256  93.253  55.657  56.293  63.954  83.064
    -[23752]  91.024  73.841  52.166  56.120  82.920  82.734  43.622  67.445  60.706
    -[23761]  70.697  40.466  81.391  82.452  75.719  96.585  73.548  90.560  87.392
    -[23770]  59.611  83.536  69.897  75.075  75.158  83.723  58.557  88.061  98.036
    -[23779]  89.261  58.776  83.651  89.974  48.022  65.956  74.620  86.034  66.206
    -[23788]  74.927  58.905  38.073  67.440  91.871  96.190  59.950  74.241  87.760
    -[23797]  78.251  53.958  45.019  86.118  69.663  77.472  63.210  78.202  70.311
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    -[23815]  57.941  80.270  95.228  78.945  68.770  78.742  53.165  87.323  44.703
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    -[25462]  50.232  74.815  79.438  76.024  73.794  60.049  99.249  72.262  59.478
    -[25471]  87.756  75.372  87.518  75.797  46.331  89.874  84.432  67.023  81.487
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    -[25489]  70.980  33.565  69.570  91.507  69.693  88.053  65.632  82.353  69.068
    -[25498]  68.226  79.655  48.670  57.451  69.998  91.120  61.449  29.000  85.185
    -[25507]  97.980  56.384  56.883  63.017  59.345  80.471  67.991  82.610  68.709
    -[25516]  81.824  69.297  74.345  88.829  82.320  79.395  59.990  75.632  67.755
    -[25525]  83.517  71.578  78.815  85.061  79.536  63.675  62.001  86.945  72.790
    -[25534]  87.101  55.504  72.219  77.752  56.883  66.996  74.966  73.947  82.036
    -[25543]  71.091  81.696  78.013  69.707  81.678  70.925  78.535  78.406  68.916
    -[25552]  94.714  84.048  37.689  78.193  86.129  90.972  82.222  84.662  53.524
    -[25561]  80.280  84.089  66.846  82.282  79.791  85.512  86.190  79.311  83.409
    -[25570]  64.261  80.792  70.279  59.433  71.856  88.214  82.291  89.362  77.855
    -[25579]  90.373  80.064  64.192  43.914  70.852  62.113  81.548  76.419  72.880
    -[25588]  72.723  57.376  86.801  76.817  76.495  79.983  87.605  83.433  78.732
    -[25597]  64.558  52.136  53.530  76.463  50.502  84.950  73.371  76.888  72.320
    -[25606]  76.034  68.693  68.738  78.008  60.817  39.489  91.160  62.168  78.916
    -[25615]  75.837  79.253  62.189  68.330  77.418  37.665  71.583  52.175  90.555
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    -[25831]  73.726  74.470  95.759  91.056  69.665  69.620  77.051  63.548  85.475
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    -[25849]  78.718  87.121  33.246  77.775  58.062  89.491  96.695  75.003  87.041
    -[25858]  94.318  85.606  59.539  77.564  85.278  47.558  90.429  84.991  95.759
    -[25867]  72.422  88.448  81.166  87.999  80.749  89.144 106.701  91.630  79.873
    -[25876]  56.192  88.342  82.780  67.903  92.397  77.556  82.061  91.990  74.271
    -[25885]  81.466  67.598  90.144  83.462  80.731  70.665  83.732  74.003  79.995
    -[25894]  82.292  59.030  88.678  68.646  94.831  79.910  87.056  83.150  80.297
    -[25903]  77.124  78.053  53.639  88.844  77.268  89.483  98.449  98.397  89.419
    -[25912]  88.619  80.117  63.926  81.526  78.515  80.058  73.345  63.287  57.610
    -[25921]  73.837  83.732  87.819  81.182  91.186  75.922  78.793  82.540  98.314
    -[25930]  94.963  83.580  71.624  52.186  70.958  88.172  87.947  74.814  66.482
    -[25939]  46.935  91.372  74.540  69.297  97.431  98.351  80.365  78.130  92.970
    -[25948]  83.831  95.434  83.628  73.442  94.056  63.686  76.425  97.717  74.746
    -[25957]  76.826  71.450  85.085  85.993  89.159  82.568  90.685  44.518  63.787
    -[25966]  72.639  61.027  82.406  51.515  77.215  83.053  55.638  94.513  37.777
    -[25975]  87.837  96.407  80.221  83.468  79.258  22.522  85.419  48.576  89.047
    -[25984]  60.194  88.014  77.702  91.585  81.161  78.421  79.484  88.455  56.463
    -[25993]  74.910  76.085  73.699  67.260  54.819  77.758  87.541  69.264  85.812
    -[26002]  78.634  91.144  81.910  69.750  84.975  45.671  83.640  56.898  85.464
    -[26011]  83.916  36.315  44.759  83.917  50.544  72.248  69.340  88.369  83.241
    -[26020]  74.853  48.751  71.234  91.269  68.437  46.697  61.372  88.014  78.656
    -[26029]  77.717  59.649  65.628  80.289  82.673  93.833  52.632  97.731  92.989
    -[26038]  79.469  89.711  86.448  83.073  84.193  84.568  62.395  93.309  75.817
    -[26047]  83.185  88.002  79.411  81.963  87.014  57.332  73.908  94.554  84.048
    -[26056]  60.726  61.411  73.957  70.172  85.173  74.943  74.141  83.135  96.112
    -[26065]  64.521  81.020  73.099  89.189  73.416  95.240  84.315  65.050  48.979
    -[26074]  49.708  64.690  69.046  76.578  72.948  72.678  86.933  92.994  45.656
    -[26083]  89.652  91.976  63.300  92.505  64.913  77.955  71.523  72.265  58.995
    -[26092]  84.921  88.433  74.886  79.904  83.915  92.619  64.960  85.447  80.234
    -[26101]  79.562  66.690  68.925  76.473  80.479  92.202  65.413  88.541  72.386
    -[26110]  92.655  90.561  96.208  75.155  95.398  79.882  89.619  71.163  89.077
    -[26119]  84.632  73.571  67.022  90.523  86.830  97.681  76.398  97.417  51.578
    -[26128]  75.211  34.940  73.489  83.371  50.250  98.490  77.853  98.650  87.310
    -[26137]  92.390  72.690  99.814  88.150  44.959  80.081  72.320  96.093  63.281
    -[26146]  82.232  83.788  94.172  87.595  52.520  54.489  61.522  91.351  82.895
    -[26155]  86.046  76.617  85.903  47.266  78.425  64.336 103.318  72.211  48.479
    -[26164]  70.963  51.741  42.130  91.978  82.035  97.253 106.096  79.431  49.531
    -[26173]  97.997  87.477  86.408  85.239  89.304  63.666  48.120  67.287  73.817
    -[26182]  98.313  75.876  52.165 105.782  83.480  72.484  92.298  98.105  84.637
    -[26191]  86.110  86.448  84.137 106.657  80.110  86.490  61.013  90.433  73.526
    -[26200]  66.170  83.276  79.047  97.682  77.261  71.680  86.802  60.020 102.198
    -[26209]  45.626  96.022  98.565  98.820  99.788  78.489  88.238  88.722 100.686
    -[26218]  85.695  88.241  89.912  87.642  92.639  86.448  64.367  83.597  91.489
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    -[26236]  94.930  77.724  85.902  73.173  91.464  79.189  89.786  74.275  67.956
    -[26245]  57.196  91.808  90.075 100.265  75.521  54.225  74.889  85.757  78.375
    -[26254] 104.867  90.485  71.914  78.163 102.394  94.923 103.473  73.677  86.627
    -[26263]  53.993  95.270  96.804  56.611  92.428  78.203  90.009  91.518  81.737
    -[26272]  77.422  94.785  84.822  88.823  76.107  95.470 104.335  83.498 101.094
    -[26281]  82.932  91.671  76.631 110.318  88.493  55.638  97.112  92.433  76.177
    -[26290]  78.702  89.060  79.600  78.411  92.889 104.579  79.761  76.219  96.416
    -[26299]  64.167  71.590  98.164  59.501  99.730  65.606  62.108  75.659  80.490
    -[26308]  68.326  67.645  46.202  62.486  77.252  73.513  83.449  78.700  68.892
    -[26317]  75.273  62.646  65.077  58.804  69.819  30.868  63.980  28.978  66.025
    -[26326]  47.632  77.493  68.577  51.147  53.730  66.755  83.401  64.389  80.817
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    -[26344]  33.496  57.941  83.654  86.437  54.663  80.459  50.598  74.842  81.010
    -[26353]  63.120  78.431  73.652  64.703  61.605  70.467  87.875  58.618  73.406
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    -[26371]  63.504  82.798  88.169  68.875  60.153  65.150  74.555  63.945  49.981
    -[26380]  61.350  89.292  77.981  76.448  29.784  70.054  66.895  78.382  68.173
    -[26389]  60.091  63.886  61.597  85.854  46.458  56.284  44.035  36.539  74.744
    -[26398]  93.496  78.963  70.358  49.541  57.859  72.568  66.082  31.574  56.697
    -[26407]  64.857  67.311  53.664  59.407  36.845  89.266  48.159  62.129  80.882
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    -[26425]  78.364  97.765  51.197  86.031  72.471  81.066  75.262  65.011  67.866
    -[26434]  65.484  61.256  59.237  79.472  66.444  70.742  77.185  98.236  51.026
    -[26443]  76.439  79.028  78.038  78.003  95.749  50.578  47.827  66.372  43.080
    -[26452]  61.098  71.640  60.562  43.312  39.285  74.386  77.114  80.823  67.092
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    -[26470]  71.259  44.911  85.927  42.282  68.478  86.577  52.131  60.905  74.470
    -[26479]  44.989  65.817  76.202  88.869  66.665  61.554  74.041  73.518  88.154
    -[26488]  79.631  69.363  49.118  72.193  84.802  89.969  58.597  64.376  53.911
    -[26497]  63.998  62.931  76.475  98.305  66.573  76.114  86.454  42.525  75.320
    -[26506]  80.741  70.738  65.326  69.772  81.843  52.293  78.048  84.137  52.609
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    -[26524]  91.222  64.490  74.497  62.047  67.958  70.848  28.996  90.255  85.633
    -[26533]  50.894  90.913  71.323  61.073  61.929  83.786  76.067  88.613  98.792
    -[26542]  66.018  80.870  79.648  86.065  63.982  83.615  74.445  78.091  51.064
    -[26551]  78.932  75.804  55.899  72.243  86.990  53.158  47.523  69.410  62.813
    -[26560]  68.836  89.106  66.388  80.055  59.808  78.693  74.844  74.395  80.616
    -[26569]  56.704  72.078  83.976  76.058  45.109  78.093  71.745  95.510  42.129
    -[26578]  78.583  70.088  74.978  80.318  46.715  84.614  77.965  69.891  64.700
    -[26587]  63.606  61.523  77.443  47.089  76.015  70.139  48.078  52.179  69.338
    -[26596]  78.169  85.104  96.808  82.296  76.448  54.339  76.320  67.692  58.350
    -[26605]  77.676  77.699  64.848  83.402  57.569  50.413  68.174  83.197  46.268
    -[26614]  90.844  58.020  54.208  87.225  79.935  86.510  76.594  62.149  53.466
    -[26623]  73.432  82.279  93.224  82.887  54.214  76.505  65.360  61.636  40.810
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    -[26641]  54.217  60.676  78.472  89.345  86.279  74.733  84.079  53.395  64.821
    -[26650]  60.197  78.735  68.130  63.335  36.420  78.848  94.205  68.609  61.836
    -[26659]  83.600  73.493  97.259  81.895  97.467  63.655  84.208  58.341  57.374
    -[26668]  80.418  63.425  83.244  91.377  80.826  76.849  50.880  79.096  76.785
    -[26677]  68.495  85.448  48.632  80.943  62.214  83.995  73.293  67.724  77.250
    -[26686]  71.336  77.049  55.260  62.413  79.168  87.756  78.236  71.762  51.335
    -[26695]  80.802  40.939  88.284  63.677  88.425  64.800  87.452  74.677  82.603
    -[26704]  85.736  56.021  58.843  76.718  79.312  72.649  67.112  60.693  77.745
    -[26713]  66.356  81.697  35.054  68.100  72.429  79.281  59.576  51.294  71.608
    -[26722]  82.217  78.578  86.374  86.409  59.801  41.983  60.998  89.783  82.743
    -[26731]  75.335  92.742  66.720  67.660  77.733  65.434  95.063  84.654  84.239
    -[26740]  67.311  75.298  79.687  55.339  52.252  74.388  50.785  71.742  88.183
    -[26749]  71.119  78.325  82.593  76.381  93.596  87.585  88.433  89.834  89.005
    -[26758]  55.471  75.218  73.400  78.683  56.023  81.566  88.837  71.228  88.386
    -[26767]  83.572  78.454  94.275  87.901  68.258  72.216  61.029  56.512  87.933
    -[26776]  85.042  88.775  84.790  74.367  74.936  64.233  83.824  97.130  72.112
    -[26785]  76.420  74.243  75.064  93.837  73.640  69.092  83.287  86.778  60.800
    -[26794]  65.315  80.120  72.918  89.029  89.502  80.466  83.982  87.720  80.605
    -[26803]  75.519  83.470  76.191  86.217  76.271  61.142  87.346  89.633  86.106
    -[26812]  95.752  70.231  42.504  97.472  83.831  71.401  89.776  82.432  92.420
    -[26821]  78.301  93.530  53.946  53.124  78.992  76.206  84.624  85.462  66.630
    -[26830]  87.155  82.877  73.618  98.495  81.880  81.390  70.576  56.280  68.860
    -[26839]  73.960  80.370  88.827  89.993  89.849  59.063  73.445  84.321  81.715
    -[26848]  74.052  67.313  91.913  68.494  73.398  71.254  73.748  72.931  61.995
    -[26857]  79.038  56.768  68.376  52.517  63.185  76.819  91.217  86.847  80.281
    -[26866]  47.175  81.706  80.450  83.913  80.873  78.460  84.093  71.159  76.821
    -[26875]  60.846  54.641  91.036  98.700  53.209  72.978  78.891  89.006  61.309
    -[26884]  75.574  65.567  94.535  62.544  74.146  89.445  88.548  76.406  78.923
    -[26893]  75.920  80.085  77.025  59.410  55.968  82.686  81.624  72.710  78.350
    -[26902]  77.262  89.274  94.575  58.980  82.529  60.084  83.753  74.569  87.104
    -[26911]  74.016  87.983  67.695  67.158 103.953  69.389  85.879  72.842  56.865
    -[26920]  74.273  96.020  88.730  85.555  76.752  64.962  77.396  73.709  84.730
    -[26929]  79.365  61.789  63.852  75.125  81.431  63.798  84.805  67.130  71.170
    -[26938]  62.213  92.501  98.190  62.718  77.119  89.390  85.369  79.154  45.369
    -[26947]  73.003  54.012  53.007  85.075  89.178  90.873  59.152  79.951  86.316
    -[26956]  85.421  91.292  86.927  78.592  81.629 104.464  84.867  74.257  80.086
    -[26965]  85.237  77.180  85.053  70.484  43.874 108.112  92.389  68.589  85.434
    -[26974]  78.671  69.473  91.005  85.926  89.871  74.698 100.927  93.575  82.462
    -[26983]  96.702  80.985  71.187  98.815  95.639  62.847  79.713  86.763  87.762
    -[26992] 115.026  84.889  69.470  56.263  82.722  75.667  98.840  85.228  82.398
    -[27001] 102.646  91.709  75.762  71.552  54.861  75.319  83.125  66.946  54.905
    -[27010] 100.905 103.877  94.262  91.367  75.158  69.969  77.472  97.088 105.044
    -[27019]  40.093  77.262  74.802  49.989  77.870  79.262  53.171  85.042  63.863
    -[27028]  88.694  48.834  89.932  69.298  55.453  80.783  59.261  57.730  93.800
    -[27037]  52.840  73.522  67.517  80.637  75.952  53.068  84.452  92.088  67.058
    -[27046]  64.252  84.491  47.975  32.929  60.952  59.868  66.249  46.891  55.212
    -[27055]  72.239  71.443  95.030  58.575  80.353  70.285  80.250  89.123  81.915
    -[27064]  75.081  76.159  88.922  65.835  58.040  58.367  81.590  65.643  84.362
    -[27073]  51.415  79.352  65.271  72.429  69.900  82.830  77.288  72.838  60.380
    -[27082]  84.178  84.893  83.199  80.090  88.559  81.933  74.480  79.719  43.388
    -[27091]  66.655  63.516  89.407  89.411  55.604  70.942  92.195  83.642  85.282
    -[27100]  69.903  68.522  77.041  77.713  66.815  87.609  67.895  83.820  38.923
    -[27109]  60.597  24.346  64.551  66.256  94.090  46.494  73.095  52.448  63.385
    -[27118]  77.673  68.764  89.776  47.372  76.775  77.727  87.622  98.653  68.985
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    -[28648]  81.900  84.543  72.067  72.148  62.947  64.663  82.148  50.949  47.663
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    -[28666]  56.380  83.777  86.723  62.531  69.193  81.257  78.436  38.831  88.650
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    -[28684]  81.679  42.240  72.367  47.352  63.646  58.028  61.870  44.840  58.586
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    -[28711]  75.609  85.107  73.100  70.490  72.813  80.444  83.699  69.618  92.472
    -[28720]  76.360  92.271  84.002  78.055  99.258  50.749  61.650  62.068  56.542
    -[28729]  89.183  66.781  48.369  65.708  48.351  82.024  55.848  71.271  49.239
    -[28738]  41.611  74.895  68.029  50.349  46.704  53.932  84.552  51.702  63.703
    -[28747]  73.411  84.239  56.054  68.124  62.957  70.598  42.652  89.720  88.306
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    -[29971]  65.970  59.766  82.560  87.566  57.670  53.470  73.934  64.613  69.284
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    -[29989]  82.796  68.668  83.326  54.150  84.650  75.192  70.614  35.682  85.665
    -[29998]  89.563  76.104  79.872  65.102  69.551  65.848  66.462  47.911  87.710
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    -[30097]  63.051  64.212  87.600  75.869  74.835  85.606  71.674  78.688  60.497
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    -[30160]  81.065  79.604  51.146  88.187  74.150  87.437  72.717  69.879  80.695
    -[30169]  70.094  65.737  92.306  64.278  80.257  98.327  66.319  79.349  78.243
    -[30178]  73.389  97.017  71.826  66.684  61.861  80.859  78.930  61.764  84.552
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    -[30196]  81.477  95.237  88.661  39.206  92.897  79.373  38.571  70.261  89.410
    -[30205]  77.008  82.215  82.832  76.620  85.654  67.695  72.951  79.328  91.283
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    -[30232]  69.505  56.900  89.880  95.070  56.972  70.321  89.246  84.713  55.454
    -[30241]  81.721  90.569  43.779  68.935  78.764  75.147  76.077  59.599  77.939
    -[30250]  78.068  60.084  47.096  80.150  72.044  84.390  90.002  51.232  64.227
    -[30259]  63.986  81.233  73.674  47.123  68.034  77.070  76.343  79.303  92.493
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    -[30277]  92.628  73.591  47.412  79.292  57.517  79.420  71.926  88.002  67.030
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    -[30295]  68.813  87.910  77.716  76.132  45.155  62.443  75.714  69.654  91.853
    -[30304]  90.512  51.720  77.075  83.622  89.865  90.814  63.292  70.134  79.996
    -[30313]  79.397  79.820  86.499  53.475  92.515  89.264  65.194  83.468  70.735
    -[30322]  68.089  70.470  81.843  76.027  77.098  67.807  64.137  70.112  85.819
    -[30331]  69.575  64.188  70.110  74.117  72.818  72.644  55.181  77.300  81.848
    -[30340]  67.569  58.703  70.875  71.226  80.177  83.306  84.969  73.819  87.520
    -[30349]  72.681  98.223  68.418  75.168  73.727  71.823  82.177  63.502  79.715
    -[30358]  83.510  57.826  85.903  63.550  87.697  80.802  53.444  59.571  86.208
    -[30367]  83.982  67.898  72.708  80.193  71.009  83.660  88.121  54.037  95.816
    -[30376]  84.375  74.685  62.289  80.436  66.060  82.543  76.056  80.174  66.156
    -[30385]  84.760  69.401  68.930  69.242  62.519  76.143  39.190  92.174  71.927
    -[30394]  49.603  79.198  72.717  60.789  79.568  72.681  90.551  74.811  70.320
    -[30403]  74.145  56.029  42.531  88.208  74.966  89.602  66.096  87.349  93.943
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    -[32077]  86.125  84.448  69.412  73.404  75.546  79.759  81.372  88.238  54.112
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    -[32140]  93.905  70.716  79.554  87.815  72.243  55.024  87.048  51.231  88.670
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    -[32176]  75.531  91.803  71.203  95.018  73.226  75.635  71.406  86.077  53.040
    -[32185]  82.921  47.533  74.028  83.520  82.493  58.795  72.197  74.667  71.988
    -[32194]  83.265  96.985  77.251  72.143  54.959  71.675  68.969  71.964  90.609
    -[32203]  63.531  69.074  88.359  78.620  63.300  81.111  65.554  76.067  77.501
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    -[32518]  87.802  70.785  50.008  88.641  67.412  58.401  36.294  33.363  76.993
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    -[32671]  76.050  67.640  46.150  81.530  59.191  57.065  86.454  75.864  45.958
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    -[33157]  46.370  67.586  61.233  91.428  83.604  62.833  80.267  80.879  78.394
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    -[33211]  70.831  53.672  75.574  83.739  72.080  57.721  98.250  79.784  63.218
    -[33220]  82.361  82.296  64.685  78.412  86.753  73.543  41.932  59.374  83.931
    -[33229]  77.030  86.273  37.864  78.342  78.044  62.277  45.119  48.155  59.419
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    -[33274]  59.589  49.108  64.828  84.799  49.604  53.151  54.470  66.367  51.370
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    -[33292]  60.752  61.174  67.365  72.400  77.855  53.574  68.982  71.566  68.587
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    -[33310]  71.340  46.845  62.044  76.320  65.148  67.930  60.462  76.884  59.363
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    -[33337]  67.145  67.926  79.270  55.850  63.725  75.147  62.919  75.080  64.154
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    -[33373]  60.399  51.596  60.466  62.285  68.272  76.267  73.218  46.945  63.303
    -[33382]  31.606  70.920  75.549  67.477  66.260  75.043  49.366  57.911  79.059
    -[33391]  87.553  80.620  70.450  57.691  83.990  76.414  62.042  45.988  35.957
    -[33400]  72.962  83.660  64.264  51.120  92.572  79.362  22.567  59.968  39.088
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    -[33454]  53.436  57.422  81.622  59.132  54.520  75.264  52.647  67.958  63.403
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    -[33472]  79.404  61.855  62.273  60.107  64.106  84.845  77.300  70.726  69.061
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    -[33499]  73.966  70.501  60.831  78.646  37.267  51.966  86.843  74.842  71.403
    -[33508]  41.788  57.825  59.606  79.210  48.931  63.919  79.941  61.722  34.892
    -[33517]  43.141  58.044  86.689  55.589  60.144  77.522  67.597  47.958  55.364
    -[33526]  57.373  89.831  61.780  35.603  83.562  60.804  56.397  63.322  48.504
    -[33535]  53.993  81.769  69.053  55.752  69.215  44.018  45.224  42.542  74.528
    -[33544]  90.703  68.769  60.438  58.163  57.609  69.363  83.372  67.860  75.842
    -[33553]  88.091  57.687  59.884  57.160  31.632  88.113  55.905  70.735  85.852
    -[33562]  66.572  66.756  78.361  77.004  78.110  66.530  41.904  57.386  58.283
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    -[33589]  71.900  78.999  72.848  53.952  72.408  76.112  60.453  59.107  70.873
    -[33598]  47.303  86.964  68.490  49.866  38.126  81.988  71.029  80.295  45.402
    -[33607]  74.986  73.167  47.485  87.368  97.148  70.493  53.192  59.252  66.706
    -[33616]  81.297  87.686  79.482  64.166  83.902  72.157  77.142  73.690  64.963
    -[33625]  48.875  65.720  77.558  81.071  60.250  42.297  84.772  78.801  81.380
    -[33634]  58.703  75.186  75.169  72.119  73.769  60.049  74.277  64.814  72.398
    -[33643]  54.584  63.209  69.218  50.424  74.950  75.042  74.009  59.417  74.425
    -[33652]  62.491  72.510  82.419  92.532  59.576  57.040  70.752  89.289  66.282
    -[33661]  61.881  82.740  66.008  72.740  56.495  67.622  65.731  67.922  59.694
    -[33670]  65.522  37.961  67.403  70.890  65.842  70.018  57.209  77.298  75.142
    -[33679]  55.928  71.638  77.970  80.650  78.826  65.344  77.132  65.097  45.424
    -[33688]  37.800  55.694  73.280  49.820  51.962  84.007  88.010  87.776  81.137
    -[33697]  78.331  47.039  69.489  71.048  72.507  83.805  66.714  74.455  81.157
    -[33706]  85.350  82.019  78.270  64.111  73.976  61.604  80.873  58.970  62.550
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    -[36847]  45.759  73.768  82.380  87.781  67.075  80.828  88.735  74.400  62.952
    -[36856]  68.510  52.537  60.685  84.842  77.641  83.581  75.146  63.114  51.290
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    -[36883]  66.572  70.389  71.758  57.537  64.196  84.675  81.964  69.816  61.919
    -[36892]  77.630  51.799  68.488  81.862  82.071  89.424  86.213  71.472  45.295
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    -[36910]  74.386  57.878  89.514  88.112  89.326  67.028  84.770  60.270  85.105
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    -[36937]  51.078  32.574  65.155  79.403  57.984  87.066  95.681  73.050  52.070
    -[36946]  53.292  82.002  38.737  89.434  79.492  66.417  82.100  89.764  50.652
    -[36955]  98.670  76.261  69.360  81.264  90.968  79.111  80.101  62.876  80.512
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    -[36973]  72.035  70.703  42.359  83.497  95.943  77.362  63.704  78.548  88.002
    -[36982]  83.225  86.790  51.133  71.249  61.630  78.989  55.465  58.894  91.188
    -[36991]  74.881  85.631  82.693  76.901  80.059  75.796  89.855  75.736  92.483
    -[37000]  85.966  50.242  93.370  83.153  89.117  83.595  64.697  46.154  84.602
    -[37009]  66.124  76.999  68.991  74.842  79.019  84.215  88.788  75.977  33.468
    -[37018]  78.388  69.176  62.969  78.791  61.862  87.319  82.790  50.759  73.520
    -[37027]  73.133  91.625  89.100  80.089  96.532  75.375  63.823  63.207  76.106
    -[37036]  87.155  75.350  66.884  82.110  74.920  62.368  74.489  84.126  53.338
    -[37045]  69.938  83.760  72.425  84.724  77.150  84.090  61.001  43.751  80.717
    -[37054]  76.378  50.794  85.490  86.577  81.411  78.762  80.370  75.390  51.196
    -[37063]  67.697  88.038  83.363  85.847  82.007  86.082  79.864  80.445  61.801
    -[37072]  73.670  78.000  76.101  83.941  78.678  76.133  78.225  62.738  56.046
    -[37081]  52.258  78.807  56.310  62.642  43.012  48.590  83.056  83.154  69.573
    -[37090]  67.707  72.741  77.228  82.751  76.378  71.644  72.051  76.742  86.678
    -[37099]  67.650  73.265  72.081  78.140  78.370  83.429  73.665  36.254  89.248
    -[37108]  56.273  78.109  73.413  62.224  86.586  78.141  71.145  66.116  80.101
    -[37117]  71.848  83.426  70.080  86.101  64.768  78.890  70.109  82.139  70.765
    -[37126]  74.983  71.311  70.014  70.625  86.516  94.349  69.510  80.410  44.505
    -[37135]  65.958  66.229  75.400  72.288  90.603  88.543  85.568  80.604  66.138
    -[37144]  62.554  51.688  83.757  93.179  77.717  95.210  81.153  86.992  85.268
    -[37153]  78.231  51.119  51.647  71.025  49.522  68.175  83.243  60.305  72.471
    -[37162]  74.005  78.417  64.422  84.096  54.498  84.446  98.038  75.988  65.251
    -[37171]  56.573  71.829  60.754  80.829  65.546  74.356  77.282  75.874  79.514
    -[37180]  88.545  48.105  74.202  85.565  75.366  86.206  84.603  61.676  79.515
    -[37189]  81.107  78.738  70.649  75.246  88.402  89.146  67.452  78.603  75.184
    -[37198]  76.625  59.896  82.996  79.640  86.985  68.191  74.615  59.424  85.176
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    -[37216]  59.268  72.656  86.577  76.771  77.794  58.152  75.686  86.436  50.024
    -[37225]  76.119  85.109  66.285  79.811  78.552  66.907  73.534  59.976  53.133
    -[37234]  81.054  56.870  79.981  56.491  49.597  72.041  72.134  74.566  66.652
    -[37243]  71.929  55.653  76.705  72.668  68.584  69.576  71.543  90.232  64.881
    -[37252]  65.082  85.724  81.950  58.707  64.254  49.564  78.684  71.471  78.283
    -[37261]  69.648  66.272  77.557  73.226  74.461  85.963  89.371  74.277  67.601
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    -[37297]  71.662  69.809  68.801  60.263  81.617  72.001  62.684  77.099  76.355
    -[37306]  71.976  87.272  63.360  78.751  78.957  72.535  67.751  87.223  76.507
    -[37315]  73.911  74.621  69.058  69.346  82.114  74.448  86.243  79.410  80.471
    -[37324]  63.247  57.411  67.608  76.728  71.545  65.871  74.852  64.461  89.746
    -[37333]  60.627  51.012  67.067  69.243  85.563  70.970  62.329  63.730  85.171
    -[37342]  87.219  73.616  67.822  68.661  69.090  67.040  60.963  68.874  78.414
    -[37351]  72.428  72.430  80.117  96.689  64.885  74.243  77.696  43.643  67.652
    -[37360]  60.146  75.287  64.448  79.377  78.622  61.126  70.433  76.726  85.870
    -[37369]  97.951  68.719  45.406  71.695  73.617  83.109  77.099  77.507  86.344
    -[37378]  64.979  82.196  74.129  74.077  66.300  74.467  73.327  79.728  70.340
    -[37387]  51.659  48.078  66.307  89.794  68.490  63.053  86.373  56.903  70.471
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    -[37405]  76.709  66.590  49.405  67.711  82.794  71.986  56.752  72.515  74.815
    -[37414]  74.810  64.046  87.793  74.472  86.993  74.413  71.270  74.172  88.362
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    -[37459]  70.294  70.224  61.020  82.574  73.300  80.171  75.744  77.895  75.919
    -[37468]  69.782  42.442  84.919  75.401  71.706  47.051  59.180  91.811  69.094
    -[37477]  74.721  68.159  81.500  78.887  60.861  68.443  36.648  29.233  84.220
    -[37486]  64.000  54.620  58.751  62.530  84.746  85.696  49.153  67.223  51.357
    -[37495]  75.175  65.314  69.146  78.570  80.598  73.717  71.377  69.567  94.632
    -[37504]  86.729  64.598  93.409  63.320  75.329  57.649  56.400  88.012  72.569
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    -[37522]  61.074  91.448  60.896  83.238  60.757  62.315  62.501  52.515  84.117
    -[37531]  79.279  98.850  86.437  62.385  80.974  78.795  75.625  94.681  87.130
    -[37540]  95.303  64.677  69.375  87.732  88.777  91.769  93.745  83.891  64.738
    -[37549]  74.373  62.883  75.705  78.792  80.825  88.995  73.659  72.256  79.153
    -[37558]  73.260  63.773  89.659  91.659  52.358  79.532  94.687  68.861  93.694
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    -[37576]  64.399  72.201  84.000  83.482  74.206  85.931  57.386  70.413  66.341
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    -[37594]  73.903  74.652  79.337  82.512  93.487  81.627  79.596  97.420  80.372
    -[37603]  69.640  78.643  92.052  83.624  46.214  56.855  76.077  66.313  57.496
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    -[37621]  81.388  55.390  40.864  50.209  76.112  60.673  71.813  74.220  35.672
    -[37630]  81.169  55.979  68.985  68.364  59.639  85.796  47.677  59.113  76.166
    -[37639]  66.177  63.100  95.348  89.688  65.290  68.577  81.400  72.118  64.606
    -[37648]  85.718  66.861  77.859  53.139  83.089  28.162  85.200  64.038  72.624
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    -[37666]  83.041  83.152  84.743  80.159  86.859  77.615  87.418  78.446  84.134
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    -[37693]  66.082  62.140  52.568  82.564  40.432  74.027  81.273  88.424  73.584
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    -[37747]  66.999  89.236  64.592  90.544  70.277  83.316  60.371  92.366  77.371
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    -[37765]  61.432  78.245  63.881  45.228  68.858  60.459  41.647  76.844  50.060
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    -[37792]  66.369  48.930  94.334  58.533  69.862  58.265  76.255  93.451  92.795
    -[37801]  41.769  90.932  75.106  66.103  69.671  49.291  59.970  69.152  62.380
    -[37810]  81.314  69.132  53.330  62.212  98.240  74.929  76.938  90.542  91.929
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    -[37828]  94.153  36.013  62.817  78.148  71.423  49.335  92.854  80.802  37.181
    -[37837]  72.422  78.712  63.062  76.609  66.777  78.170  64.018  87.884  60.198
    -[37846]  51.127  67.479  37.773  69.669  71.934  73.166  77.437  72.429  70.037
    -[37855]  81.727  97.301  98.136  67.470  66.380  68.272  98.184  74.751  76.902
    -[37864]  68.288  59.357  66.325  67.911  61.794  68.614  73.096  59.984  51.018
    -[37873]  84.524  80.571  65.987 100.001  74.291  86.022  95.046  76.785  58.938
    -[37882]  79.536  73.365  46.911  44.059  47.936  71.559  38.358  49.517  64.957
    -[37891]  55.971  59.154  83.457  84.855  86.044  68.571  76.184  77.734  84.256
    -[37900]  67.775  85.730  70.636  87.832  61.929  81.426  88.414  60.545  70.101
    -[37909]  73.878  87.086  83.666  83.157  69.555  79.720  73.154  55.451  77.242
    -[37918]  85.133  71.612  92.486  91.483  62.324  75.440  55.785  74.346  85.494
    -[37927]  50.120  95.432  64.763  67.595  61.951  85.112  89.429  58.728  97.485
    -[37936]  57.845  77.536  67.539  71.155  85.653  79.929  97.964  59.234  87.268
    -[37945]  89.510  81.616  68.999  68.344  65.744  97.709  61.718  53.827  77.893
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    -[37963]  92.916  74.867  76.845  61.774  77.968  85.882  99.950  77.146  83.852
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    -[37981]  68.689  57.324  63.063  78.868  98.109  77.222  45.047  49.480  45.357
    -[37990]  70.467  66.349  62.606  67.122  71.874  87.420  83.584  99.089  93.809
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    -[38017]  68.989  70.889  79.961  83.195  80.930  44.259  61.332  57.750  81.528
    -[38026]  90.957  37.137  54.162  64.974  35.240  81.425  74.479  94.151  95.876
    -[38035]  71.065  35.495  60.816  51.148  76.821  70.409  84.969  61.614  76.458
    -[38044]  65.067  89.939  89.277  64.686  58.580  72.708  67.132  84.168  51.216
    -[38053]  47.215  83.715  83.356  32.038  71.053  51.353  87.197  81.984  80.484
    -[38062]  91.340  78.733  89.527  52.880  61.809  61.809  59.253  68.858  84.460
    -[38071]  59.512  81.961  51.373  83.369  67.325  83.840  64.907  57.286  78.932
    -[38080]  51.523  88.985  71.426  95.128  82.803  90.885  77.238  67.705  94.996
    -[38089]  48.128  75.005  78.985  66.026  96.733  51.443  55.158  57.693  61.999
    -[38098]  58.986  88.241  71.109  37.170  55.548  87.960  63.210  89.819  79.880
    -[38107]  67.470  73.942  51.252  73.037  58.924  46.146  80.544  64.639  67.507
    -[38116]  72.240  91.461  82.940  61.670  74.389  41.014  57.739  63.582  73.898
    -[38125]  75.853  88.894  59.809  67.191  82.051  86.738  74.383  81.643  67.888
    -[38134]  42.223  82.793  92.823  58.609  92.276  68.514  61.008  75.014  97.028
    -[38143]  54.961  79.682  71.739  64.454  75.696  76.657  60.885  64.385  98.454
    -[38152]  82.360  77.605  79.772  73.490  95.341  65.210  43.685  57.644  83.616
    -[38161]  73.850  74.760  91.007  81.943  65.463  91.177  61.932  53.711  60.412
    -[38170]  76.992  74.746  94.583  73.406  87.962  83.857  64.190  38.935  90.375
    -[38179]  73.492  89.716  62.154  92.302  76.342  98.969  70.751  77.346  62.142
    -[38188]  55.050  75.786  84.851  92.743  69.089  70.354  56.548  72.098  87.805
    -[38197]  64.193  69.163  78.036  55.677  52.967  69.167  71.423  81.520  46.296
    -[38206]  62.172  67.152  74.800  85.401  69.141  84.091  46.217  74.176  71.486
    -[38215]  62.462  94.917  75.946  57.900  46.460  86.409  79.218  85.803  69.968
    -[38224]  62.608  84.976  90.317  60.503  57.020  82.243  62.443  97.620  69.604
    -[38233]  68.049  50.938  84.954  86.626  83.310  94.223  78.784  81.923  90.108
    -[38242]  73.453  46.689  73.735  87.786   9.446  77.671  71.709  54.812  68.698
    -[38251]  74.433  74.508  89.260  81.692  82.843  78.740  78.706  77.829  78.995
    -[38260]  60.592  80.809  82.923  84.330  66.234  81.881  78.615  85.437  58.670
    -[38269]  80.763  80.201  88.930  81.281  71.603  65.821  68.281  84.616  88.275
    -[38278]  60.307  86.369  78.056  72.169  98.484  89.307  76.826  64.149  66.153
    -[38287]  54.022  83.258  63.926  48.532  88.515  67.565  47.080  89.641  79.216
    -[38296]  74.674  87.963  69.669  71.739  69.424  97.369  98.834  59.701  97.238
    -[38305]  81.927  72.917  86.120  74.328  76.831  67.197  74.758  57.526  83.844
    -[38314]  88.722  91.072  85.835  93.825  57.036  86.755  71.954  65.032  53.271
    -[38323]  82.607  67.029  79.978  41.518  75.308  96.689  70.550  73.193  66.948
    -[38332]  80.059  84.123  97.351  48.660  67.358  74.941  84.279  75.110  98.154
    -[38341]  55.708  79.325  74.810  82.416  67.599  61.200  80.597  87.417  82.195
    -[38350]  86.736  61.060  68.050  63.606  71.304  85.240  48.734  85.619  67.322
    -[38359]  33.110  73.043  98.549  81.695  76.160  70.006  92.878  76.921  74.317
    -[38368]  45.453  83.299  74.186  74.739  72.348  69.785  93.914  75.018  94.488
    -[38377]  72.269  74.893  81.749  87.616  63.133  93.108  75.179  61.058  85.967
    -[38386]  73.920  72.229  64.077  74.924  97.431  70.805  32.556  87.527  84.497
    -[38395]  51.821  75.235  64.703  77.890  73.870  75.371  58.596  73.840  85.355
    -[38404]  63.057  90.359  83.526  85.204  51.685  97.887  77.700  48.369  80.073
    -[38413]  66.856  35.091  62.005  96.281  82.823  73.771  76.606  81.033  95.317
    -[38422]  70.503  88.709  60.983  86.712  49.505  84.109  93.588  81.289  87.008
    -[38431]  48.079  80.172  91.156  84.642  62.300  47.100  56.133  73.350  97.591
    -[38440]  76.896  86.870  77.878  75.000  76.623  55.817  89.302  84.456  84.074
    -[38449]  76.257  60.593  92.069  99.185  89.828  79.458  87.277  74.682  84.180
    -[38458]  84.989  88.153  62.142  64.975  87.803  85.253  72.719  76.092  78.124
    -[38467]  72.194  89.087  85.789  74.297  84.094  63.606  96.995  79.887  88.165
    -[38476]  87.766  82.781  67.156  96.872  85.858  95.681  75.876  73.137  92.660
    -[38485]  62.139  54.364  80.929  70.615  68.190  82.224  75.105  87.796  75.155
    -[38494] 106.338  87.816  71.298  83.230  35.203  98.743  82.272  80.094  81.600
    -[38503]  78.079  82.908  65.030  51.810  58.313  87.471  80.227  64.524  73.340
    -[38512]  81.644  77.873  75.859  44.149  51.228  54.522  71.448  86.676  87.879
    -[38521]  73.127  70.651  67.138  61.162  81.796  62.264  68.889  51.161  86.291
    -[38530]  82.478  70.597  72.227  82.736  82.865  78.546  71.873  66.434  81.234
    -[38539]  86.163  77.801  67.125  49.182  77.514  60.209  81.046  67.545  70.597
    -[38548]  75.331  85.710  41.578  99.440  65.725  88.858  60.299  81.470  76.760
    -[38557]  81.966  63.414  62.291  79.906  79.049  81.835  82.152  84.233  84.878
    -[38566]  70.822  78.538  78.015  72.127  72.834  62.947  70.814  76.295  89.615
    -[38575]  73.810  59.978  86.523  77.096  73.530  73.220  75.498  75.766  94.203
    -[38584]  50.399  56.682  72.872  89.631  64.152  61.101  79.836  84.648  82.906
    -[38593]  80.325  83.000  80.125  87.660  87.315  65.188  47.309  85.861  66.808
    -[38602]  73.448  44.154  66.958  58.018  77.719  94.074  78.506  66.367  54.612
    -[38611]  63.730  86.947  79.944  85.529  80.996  77.022  78.980  78.195  78.883
    -[38620]  31.544  81.080  61.844  82.059  72.880  51.727  76.851  66.830  54.327
    -[38629]  82.011  54.041  67.143  55.779  81.540  69.482  89.367  86.728  86.330
    -[38638]  70.578  66.050  81.378  88.232  60.319  88.087  87.191  78.413  98.573
    -[38647]  83.098  95.044  55.716  75.179  67.470  75.751  72.720  64.303  65.050
    -[38656]  87.037  63.252  74.624  72.341  77.993  66.663  74.029  65.922  67.654
    -[38665]  66.728  51.380  69.498  85.482  88.637  84.128  67.509  67.975  76.490
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    -[38683]  85.277  73.063  74.985  86.474  77.079  59.513  80.047  98.936  67.349
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    -[43516]  80.928  73.041  88.915  93.157  70.719  62.440  77.030  81.210  71.402
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    -[46936]  80.273  86.239  95.886  84.832  58.060  62.143  66.756  63.631  65.755
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    -[48556]  84.246  62.978  69.746  77.823  66.456  70.052  64.288  74.805  89.821
    -[48565]  58.240  81.673  62.554  78.213  57.706  52.467  68.248  88.416  84.653
    -[48574]  93.706  67.518  87.502  80.065  76.250  86.703  78.585  67.756  45.412
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    -[51769]  70.128  80.541  45.040  59.439  54.598  73.723  32.625  62.698  66.283
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    -[51805]  89.595  60.030  81.019  50.584  45.580  98.415  87.362  90.302  58.274
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    -[51886]  57.087  82.421  87.487  41.263  77.707  79.497  60.469  96.337  61.550
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    -[53092]  40.915  95.752  82.803  97.470  76.499  82.572  85.523  39.103  37.210
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    -[53362]  48.040  50.335  45.970  49.125  56.856  55.496  43.410  51.057  40.638
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    -[53398]  40.641  44.123  44.750  43.468  44.094  41.048  41.379  47.502  51.005
    -[53407]  44.285  41.566  52.464  42.304  42.708  40.651  41.356  41.794  41.475
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    -[53425]  42.821  43.567  51.860  54.560  50.478  51.313  50.066  40.096  47.586
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    -[53443]  44.777  41.422  40.100  56.512  49.958  44.944  50.365  56.312  55.594
    -[53452]  55.926  51.803  46.305  51.171  51.532  46.190  55.514  56.405  56.540
    -[53461]  56.042  57.832  55.417  52.031  56.256  47.376  51.712  46.511  49.045
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    -[53497]  47.789  45.673  46.915  45.111  49.336  45.620  46.160  50.190  42.519
    -[53506]  48.702  51.879  44.756  46.755  46.969  49.649  45.370  49.108  47.203
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    -[53533]  49.361  47.704  50.609  47.320  45.773  49.037  48.321  46.149  53.667
    -[53542]  52.947  52.796  52.787  53.572  53.981  52.221  50.242  50.453  50.187
    -[53551]  48.240  57.537  47.930  46.287  47.976  45.474  47.136  46.571  49.034
    -[53560]  45.923  46.144  46.456  53.237  56.916  55.097  55.158  55.617  52.958
    -[53569]  47.752  50.757  54.799  49.433  51.576  55.997  55.391  50.112  54.134
    -[53578]  53.416  52.723  55.304  52.405  53.828  58.395  53.392  52.020  50.801
    -[53587]  51.090  51.021  53.133  51.166  52.350  51.485  53.035  55.710  52.130
    -[53596]  52.786  50.535  51.535  50.859  51.830  56.352  50.526  56.336  52.616
    -[53605]  50.558  50.831  55.610  50.899  50.318  51.147  51.040  51.474  52.886
    -[53614]  58.847  50.902  52.560  54.253  50.598  51.522  50.044  50.260  55.110
    -[53623]  50.639  50.834  51.629  51.690  50.676  50.561  51.435  51.739  54.215
    -[53632]  50.642  53.807  53.760  52.477  51.489  50.672  53.537  51.661  51.970
    -[53641]  52.023  50.082  50.990  52.595  54.843  50.659  51.681  52.553  51.767
    -[53650]  51.026  54.023  51.784  51.004  51.727  50.562  51.570  51.926  50.864
    -[53659]  51.650  50.733  51.195  52.730  50.210  50.248  53.932  47.405  50.886
    -[53668]  51.289  54.527  52.487  51.685  55.628  51.184  50.132  52.934  50.351
    -[53677]  51.667  50.889  51.093  50.944  52.134  51.285  56.271  51.514  50.967
    -[53686]  52.046  50.444  50.813  50.565  55.102  52.931  51.203  50.903  53.230
    -[53695]  50.599  49.816  55.033  51.044  50.892  55.557  50.268  52.313  52.864
    -[53704]  50.735  51.734  50.961  51.274  53.581  46.705  52.708  50.791  52.272
    -[53713]  51.581  51.764  54.619  45.973  45.947  46.106  48.407  46.531  51.900
    -[53722]  47.795  50.253  46.452  50.359  48.127  48.080  47.230  53.727  51.703
    -[53731]  57.165  51.312  51.847  51.162  46.802  50.153  50.179  48.854  47.767
    -[53740]  48.583  50.930  48.020  48.341  53.197  46.107  46.052  48.350  50.335
    -[53749]  49.261  49.120  47.151  49.156  47.980  50.465  49.272  48.669  45.744
    -[53758]  47.225  45.825  46.938  47.210  50.195  47.840  47.016  51.108  45.781
    -[53767]  55.110  46.342  45.801  47.289  46.446  48.135  47.421  48.782  46.347
    -[53776]  45.564  48.408  46.165  46.857  48.904  48.815  45.774  51.056  45.668
    -[53785]  48.569  46.181  45.416  45.625  47.097  46.020  47.721  45.205  45.968
    -[53794]  45.857  47.244  47.043  47.468  50.171  46.982  51.013  45.799  49.698
    -[53803]  46.082  46.285  45.633  45.573  47.548  45.683  47.339  45.585  46.739
    -[53812]  46.827  49.373  46.387  45.205  46.802  48.247  44.507  47.837  47.063
    -[53821]  47.714  49.216  48.491  47.765  46.845  45.868  47.982  47.060  46.241
    -[53830]  47.677  48.327  46.680  46.917  49.428  50.601  48.489  49.625  46.845
    -[53839]  46.431  48.100  48.997  45.386  46.298  46.875  47.408  46.857  52.178
    -[53848]  50.395  45.832  47.867  45.871  49.648  47.869  53.991  52.169  52.455
    -[53857]  52.808  48.901  51.717  50.284  50.278  52.773  53.588  52.156  51.371
    -[53866]  50.657  51.091  50.601  49.798  54.576  50.346  51.600  50.309  52.116
    -[53875]  53.384  48.404  52.492  52.295  52.131  51.538  51.043  50.334  54.133
    -[53884]  50.498  53.741  51.340  51.776  52.673  46.467  51.231  52.270  52.064
    -[53893]  50.829  52.391  52.057  51.968  55.584  52.809  51.177  53.985  55.426
    -[53902]  51.875  53.034  54.459  51.612  50.332  55.156  51.865  52.332  51.439
    -[53911]  51.116  51.100  52.201  51.515  50.732  53.482  50.820  50.103  51.077
    -[53920]  49.742  51.039  52.817  47.933  51.664  51.413  50.678  54.279  50.477
    -[53929]  51.461  49.323  51.640  49.139  55.244  51.767  52.549  53.340  51.522
    -[53938]  51.894  53.355  50.084  50.733  50.248  51.235  54.506  52.444  57.652
    -[53947]  51.620  53.944  53.207  52.783  51.032  54.676  50.452  51.778  52.834
    -[53956]  53.962  53.680  58.805  53.598  53.171  54.346  53.310  51.868  51.484
    -[53965]  54.616  51.889  50.186  53.058  51.217  51.933  54.486  51.340  51.794
    -[53974]  55.274  50.038  53.503  53.184  51.638  53.311  53.601  50.126  52.968
    -[53983]  54.269  52.679  52.771  50.498  51.578  47.938  52.015  51.930  51.254
    -[53992]  50.140  50.604  52.535  51.525  54.546  50.337  51.219  52.123  51.034
    -[54001]  52.862  52.268  53.488  51.107  51.094  50.396  50.524  51.779  50.070
    -[54010]  52.998  50.112  51.749  52.380  53.124  50.027  50.567  52.732  52.203
    -[54019]  53.113  50.482  53.190  50.903  53.703  50.553  52.891  51.293  51.106
    -[54028]  50.419  51.145  51.827  53.814  52.406  51.596  51.016  52.655  60.616
    -[54037]  51.226  51.616  52.089  51.837  50.116  50.440  50.060  50.758  53.001
    -[54046]  50.079  50.523  50.248  54.495  54.608  50.129  58.976  50.985  52.484
    -[54055]  50.167  52.221  52.081  51.991  50.608  51.589  52.160  54.328  51.244
    -[54064]  50.750  50.581  51.908  53.484  50.269  51.270  51.818  50.902  51.032
    -[54073]  50.674  50.826  50.528  51.477  50.470  52.249  53.684  54.168  50.698
    -[54082]  51.264  51.237  50.131  58.203  51.634  51.561  56.201  55.662  51.982
    -[54091]  51.453  52.800  50.696  51.219  51.215  51.586  53.126  50.854  50.442
    -[54100]  50.345  50.104  54.671  49.614  51.697  50.197  57.548  50.378  52.864
    -[54109]  50.074  50.673  50.988  50.487  50.921  52.722  51.953  53.883  50.850
    -[54118]  50.322  51.260  51.920  50.356  50.919  52.517  50.077  52.675  50.588
    -[54127]  55.545  80.577  66.907  91.344  92.173  88.506  85.175  41.645  52.674
    -[54136]  80.607  87.794  74.098  65.003  62.195  89.336  86.261  64.716  72.693
    -[54145]  77.220  69.767  76.695  59.749  69.428  75.817  73.353  78.825  75.700
    -[54154]  80.702  75.365  80.941  86.955  67.255  71.912  75.753  55.735  76.192
    -[54163]  68.408  89.334  87.143  72.724  66.146  91.848  76.477  78.021  75.247
    -[54172]  74.322  84.551  71.183  84.927  70.124  57.958  87.306  87.283  84.911
    -[54181]  92.016  67.925  70.274  76.778  51.670  77.967  76.808  68.457  53.205
    -[54190]  61.970  82.132  59.199  95.805  55.079  82.421  56.003  72.931  62.858
    -[54199]  56.183  54.451  69.400  62.219  44.427  22.813  69.398  68.686  68.565
    -[54208]  71.138  60.983  53.747  53.791  43.445  48.613  53.993  52.626  78.500
    -[54217]  69.799  57.563  71.341  54.866  86.239  50.505  56.876  57.388  66.570
    -[54226]  76.401  42.832  64.538  80.103  75.358  51.343  57.274  70.601  75.781
    -[54235]  82.946  65.780  54.545  85.535  77.791  61.236  72.535  73.404  74.753
    -[54244]  84.692  84.599  87.901  46.288  67.722  68.892  65.844  92.759  73.003
    -[54253]  72.551  95.468  65.386  79.600  67.078  51.904  72.948  74.642  72.820
    -[54262]  40.393  53.072  81.284  72.763  75.238  63.416  63.233  65.845  72.346
    -[54271]  73.855  81.896  73.938  50.291  72.247  91.123  74.429  55.818  73.756
    -[54280]  73.820  47.192  56.920  45.783  61.155  84.362  75.861  69.964  79.424
    -[54289]  87.567  69.910  57.531  78.390  62.539  76.977  79.306  77.864  92.576
    -[54298]  76.163  47.909  87.599  58.565  78.777  97.711  66.477  70.075  72.441
    -[54307]  72.692  72.385  79.130  86.420  79.889  87.337  52.524  89.064  72.803
    -[54316]  82.333  84.377  68.905  75.494  66.876  71.566  62.278  69.898  73.613
    -[54325]  65.066  52.160  73.554  57.501  59.090  80.175  54.411  84.309  66.003
    -[54334]  81.060  64.420  79.683  60.947  79.987  61.771  62.846  63.434  69.628
    -[54343]  83.082  63.235  69.371  64.640  81.726  46.067  50.496  70.661  91.336
    -[54352]  86.572  86.080  78.478  58.154  79.569  76.864  94.076  66.059  60.810
    -[54361]  70.181  71.786  71.117  71.905  69.149  70.429  68.112  73.887  81.515
    -[54370]  72.740  56.285  89.421  74.571  66.579  61.909  79.451  68.641  72.994
    -[54379]  71.458  76.558  67.002  67.217  77.231  59.856  64.511  53.438  67.395
    -[54388]  68.565  51.077  61.077  67.456  53.813  64.805  81.667  57.074  61.405
    -[54397]  81.886  77.324  37.975  82.521  66.851  80.710  71.964  55.768  74.488
    -[54406]  55.343  70.820  52.873  82.262  84.221  63.488  79.985  40.989  76.807
    -[54415]  81.461  90.711  57.543  61.837  83.547  81.389  84.069  71.830  85.886
    -[54424]  67.622  77.021  43.021  91.040  77.098  76.825  81.389  58.319  59.048
    -[54433]  70.211  55.905  92.703  71.233  72.006 112.056  76.543 108.250  72.152
    -[54442]  89.583  67.638  89.220  59.008  64.962  96.911  86.022 106.059  89.865
    -[54451] 109.564  84.525  61.808  46.878  82.502  78.435  54.936  70.318  83.067
    -[54460]  61.288  64.741  90.277  97.062  80.052  61.959  76.424  59.762  31.194
    -[54469]  33.239  29.408  33.214  29.251  30.428  31.190  31.388  31.127  29.725
    -[54478]  35.316  38.713  37.912  40.596  38.916  37.615  36.768  36.292  34.044
    -[54487]  36.271  36.440  37.357  31.148  31.363  33.649  33.914  34.934  37.436
    -[54496]  39.358  40.285  37.789  36.323  35.148  36.794  39.712  36.722  34.409
    -[54505]  38.397  32.973  41.289  35.689  30.095  31.757  39.365  37.385  38.797
    -[54514]  37.436  39.017  38.147  37.887  91.963  46.670  59.850  57.334  70.203
    -[54523]  41.513  22.126  78.643  39.147  60.550  47.774  38.060  68.433  27.681
    -[54532]  62.827  58.415  74.440  61.461  52.102  38.414  19.070  55.270  74.268
    -[54541]  83.909  79.008  51.772  75.673  69.924  81.064  93.249  32.999  53.684
    -[54550]  50.319  58.604  30.739  67.773  31.661  26.811  54.198  42.774  25.680
    -[54559]  75.860  67.742  45.353  63.712  55.649  61.109  36.465  43.826  56.005
    -[54568]  47.920  46.271  78.344  58.788  76.045  77.494  77.835  70.946  87.589
    -[54577]  74.287  44.840  52.811  59.176  50.560  26.598  38.604  62.569  24.861
    -[54586]  64.043  28.631  43.407  66.961  32.855  64.285  74.232  46.055  39.231
    -[54595]  68.035  92.010  34.952  88.026  56.309  26.327  79.190  61.658  68.755
    -[54604]  82.315  62.711  54.104  50.587  75.119  77.619  33.195  76.962  44.762
    -[54613]  29.982  39.581  83.691  62.838  28.856  46.525  60.529  62.323  77.269
    -[54622]  40.750  61.877  44.521  80.469  49.400  22.478  26.947  66.195  58.808
    -[54631]  58.112  79.502  48.504  50.662  79.708  29.264  70.817  71.425  39.543
    -[54640]  60.037  46.485  49.688  64.246  45.357  65.583  72.101  38.845  74.506
    -[54649]  92.643  77.337  37.627  43.290  77.533  32.890  68.830  88.722  67.615
    -[54658]  39.561  80.815  39.048  81.535  72.987  69.582  67.520  31.756  63.392
    -[54667]  48.601  37.725  59.697  71.667  53.192  61.090  79.215  68.796  65.967
    -[54676]  75.977  55.148  85.776  86.561  84.989  79.125  99.926  75.652  74.058
    -[54685]  26.089  44.549  84.323  54.899  61.767  65.779  73.008  86.115  66.561
    -[54694]  59.872  89.820  77.810  80.932  80.619  69.078  92.787  82.087  86.199
    -[54703]  85.826  83.821  74.772  53.137  67.759  75.578  63.321  88.614  84.302
    -[54712]  46.788  86.892  78.565  85.745  85.931  95.592  66.259  55.325  79.316
    -[54721]  87.495  67.503  83.537  79.623  81.209  88.366  86.841  76.279  84.950
    -[54730]  94.811  78.474  87.680  78.480  51.563  69.191  58.113  74.628  88.189
    -[54739]  85.116  89.744  55.614  80.311  86.503  83.739  58.110  35.995  71.766
    -[54748]  88.344  86.206  78.149  72.311  82.674  69.606  73.897  90.701  75.825
    -[54757]  68.474  85.980  87.688  87.482  75.221  78.637  74.703  50.950  77.223
    -[54766]  59.508  64.212  82.448  89.862  76.784  66.100  79.271  68.134  82.435
    -[54775]  51.044  76.601  72.335  65.130  79.119  88.128  56.062  77.175  94.066
    -[54784]  76.697  74.951  81.100  46.979  53.720  82.221  77.399  84.936  62.965
    -[54793]  82.376  48.493  81.674  77.083  78.182  80.760  69.146  84.517  79.861
    -[54802]  78.011  67.353  85.367  44.131  76.055  76.887  87.566  61.048  88.499
    -[54811]  91.319  50.828  75.023  81.756  65.131  92.201  65.978  62.120  79.144
    -[54820]  79.881  93.825  79.224  81.156  73.715  75.561  62.814  95.036  59.823
    -[54829]  62.158  95.674  73.836  80.894  68.446  80.525  70.857  75.750  85.274
    -[54838]  88.468  82.353  52.810  83.630  80.594  61.675  61.904  69.720  67.854
    -[54847]  80.626  78.213  64.661  66.158  77.750  82.366  63.096  77.336  58.490
    -[54856]  84.853  82.162  75.173  80.378  57.254  63.929  66.393  85.950  82.990
    -[54865]  80.582  89.181  78.535  92.621  79.690  80.370  66.666  66.623  76.603
    -[54874]  81.694  85.472  77.949  62.312  93.598  86.238  47.283  64.349  82.080
    -[54883]  90.762  71.668 100.504  61.455  89.342  65.174  65.225  62.815  63.871
    -[54892]  68.275  64.639  84.526  66.517  75.434  44.138  35.762  89.312  70.542
    -[54901]  44.860  54.962  80.454  65.049  70.716  70.808  96.685  61.140  67.860
    -[54910]  64.685  88.920  75.016  67.690  78.621  69.112  67.004  56.428  52.084
    -[54919]  79.014  76.383  71.767  74.571  72.247  63.759  87.184  89.193  78.000
    -[54928]  90.568  93.832  89.687  88.607  60.061  78.934  85.590  59.550  74.869
    -[54937]  77.022  68.902  68.923  71.090  60.585  85.220  63.867  71.018  84.542
    -[54946] 110.119  69.768 105.365  73.369  84.341  75.189  86.286  78.607  91.345
    -[54955]  85.751  90.708  88.958  74.098  80.128  55.740  91.162  73.137  76.709
    -[54964]  77.318  77.789  80.515  72.847  80.528  88.146  77.258  58.564  89.541
    -[54973]  76.978  69.323  88.151  74.789  77.737  29.810  96.023  69.416  87.200
    -[54982]  65.981  86.072  77.553  78.310  91.363  74.060  77.384  85.038  88.268
    -[54991]  72.884 101.588  97.430  75.975  82.939  79.000  62.129  60.478  79.308
    -[55000]  85.404  71.979  73.270  74.457  83.648  84.186  65.766  51.906  81.571
    -[55009]  72.373  82.897  55.723  68.716  58.766  72.352  75.240  61.469  56.685
    -[55018]  78.534  75.476  66.687  71.879  53.384  51.498  77.481  93.765  93.863
    -[55027]  68.089  87.770  61.925  74.166  91.029  85.355  72.872  73.905  74.122
    -[55036]  39.539  93.033  88.930  71.856  51.131  68.735  42.448  56.844  43.973
    -[55045]  76.533  51.389  77.755  57.143  70.115  87.368  80.182  74.338  98.177
    -[55054]  67.858  50.713  91.811  62.100  86.541  76.253  72.259  56.326  77.281
    -[55063]  66.964  69.215  89.508  75.031  71.358  72.702  77.394  80.241  75.786
    -[55072]  65.138  52.215  68.168  37.923  85.917  50.663  63.615  87.959  54.109
    -[55081]  71.333  49.741  89.975  59.622  83.798  79.100  79.320  84.788  73.853
    -[55090]  71.599  76.083  77.049  79.781  83.990  80.719  84.189  86.245  79.802
    -[55099]  71.506  75.309  77.815  53.435  30.349  60.225  50.084  77.785  72.869
    -[55108]  50.069  42.860  85.962  46.786  84.426  65.455  85.778  56.919  70.254
    -[55117]  65.396  72.335  52.273  19.200  55.700  34.616  71.452  69.098  67.224
    -[55126]  77.522  77.227  85.239  53.225  80.725  72.663  71.090  83.874  54.458
    -[55135]  67.304  78.805  72.290  61.240  58.341  72.328  71.181  73.570  74.849
    -[55144]  76.473  71.962  91.717  83.052  70.221  74.955  74.085  70.759  72.905
    -[55153]  85.906  76.720  67.404  73.101  68.633  36.664  83.920  51.269  55.063
    -[55162]  75.728  42.652  30.529  49.227  46.189  48.342  43.022  75.667  41.543
    -[55171]  67.378  84.967  35.068  81.361  46.647  78.402  89.529  80.673  71.701
    -[55180]  46.500  42.271  36.694  57.488  81.703  62.296  45.599  44.673  40.164
    -[55189]  44.129  77.468  45.750  48.161  43.763  48.999  51.138  50.872  50.255
    -[55198]  50.927  52.934  50.871  50.171  48.100  45.742  50.057  48.608  48.961
    -[55207]  47.263  49.353  49.588  46.467  49.449  49.671  45.280  49.449  47.311
    -[55216]  46.893  48.763  47.341  47.611  50.880  50.109  46.267  48.033  48.891
    -[55225]  48.068  46.816  46.331  46.874  50.013  50.365  45.650  50.202  45.179
    -[55234]  45.219  47.380  46.054  45.221  48.354  51.256  46.968  45.718  49.801
    -[55243]  49.701  48.383  50.453  45.965  49.639  49.791  49.068  48.114  48.542
    -[55252]  49.727  49.741  48.722  49.899  48.814  49.337  49.170  48.937  48.231
    -[55261]  49.860  48.378  48.905  48.665  49.391  49.355  49.908  48.452  54.072
    -[55270]  49.891  49.406  49.250  49.282  49.350  50.410  49.094  48.414  48.516
    -[55279]  50.780  49.997  48.730  51.959  48.699  48.253  49.885  51.721  54.375
    -[55288]  50.055  50.187  50.397  49.070  48.634  49.252  54.075  48.796  48.104
    -[55297]  51.747  48.639  49.543  52.559  48.911  49.485  48.940  49.133  50.745
    -[55306]  50.284  49.177  45.508  46.620  45.344  50.713  47.831  51.699  48.744
    -[55315]  50.455  47.720  46.159  47.843  49.218  47.865  47.945  45.150  45.326
    -[55324]  45.511  48.466  46.248  50.504  47.711  48.235  47.187  48.307  46.887
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    -[55342]  50.587  42.085  50.570  49.766  48.964  53.091  49.239  46.791  48.732
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    -[55378]  49.902  48.490  47.761  47.758  50.349  51.746  51.248  46.886  50.619
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    -[55423]  50.384  50.425  46.688  49.087  48.311  47.625  48.232  48.096  47.027
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    -[55486]  40.578  45.896  40.095  45.988  48.018  47.724  42.572  40.043  47.019
    -[55495]  65.110  46.516  42.983  43.173  44.135  46.388  48.033  46.818  44.736
    -[55504]  49.152  44.183  47.050  50.000  46.575  49.799  50.361  49.033  40.938
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    -[55522]  49.632  41.942  46.323  46.568  49.145  47.941  48.059  43.098  43.563
    -[55531]  45.443  46.714  49.589  45.089  48.716  48.358  46.389  44.168  46.702
    -[55540]  47.187  45.888  41.750  40.325  47.123  45.996  41.286  47.254  40.171
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    -[55558]  47.143  41.029  44.185  41.123  46.577  49.575  45.580  42.294  45.421
    -[55567]  46.213  44.317  44.475  43.959  43.726  44.471  40.325  40.266  44.521
    -[55576]  51.836  44.381  43.646  50.961  43.429  46.737  40.744  42.768  43.145
    -[55585]  42.015  40.557  40.700  41.621  40.618  41.658  44.129  41.226  41.665
    -[55594]  41.948  45.998  42.842  41.091  40.576  40.521  42.148  41.647  48.820
    -[55603]  40.519  40.628  42.668  40.932  45.359  45.631  41.293  40.541  45.509
    -[55612]  47.611  48.621  45.477  48.436  45.706  56.293  45.354  40.169  47.751
    -[55621]  41.425  49.145  45.906  41.773  42.308  42.816  46.839  45.498  47.279
    -[55630]  46.721  48.056  47.818  43.897  41.330  42.677  46.218  44.000  40.285
    -[55639]  43.173  41.200  42.164  43.416  44.616  48.161  44.316  32.934  31.017
    -[55648]  30.868  38.788  31.211  37.462  34.897  27.512  27.762  27.221  31.779
    -[55657]  27.581  31.784  28.788  31.274  38.553  30.974  31.311  36.252  47.913
    -[55666]  37.909  37.933  38.485  35.872  31.420  40.798  33.144  39.218  37.110
    -[55675]  38.325  33.156  42.138  39.217  45.151  38.635  41.954  42.956  32.777
    -[55684]  43.339  46.682  36.438  36.567  41.621  39.783  43.226  40.884  42.898
    -[55693]  46.265  39.483  35.252  38.636  31.606  43.714  36.883  35.839  39.621
    -[55702]  41.288  34.513  31.440  42.730  36.914  33.024  42.035  35.483  38.521
    -[55711]  35.600  38.603  40.168  49.832  33.098  35.035  38.661  33.853  42.408
    -[55720]  40.473  36.099  44.253  38.335  39.434  41.707  38.829  37.621  42.739
    -[55729]  41.377  41.498  40.747  35.514  37.245  37.216  70.079  85.972  64.285
    -[55738]  69.802  66.600  63.489  60.801  65.230  85.216  42.227  47.529  38.978
    -[55747]  38.452  44.428  44.462  36.535  44.830  40.870  40.493  48.069  44.803
    -[55756]  43.909  48.328  37.873  42.767  41.649  48.938  39.066  45.725  38.212
    -[55765]  48.331  47.441  38.109  38.085  40.129  47.840  39.403  46.719  46.107
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    -[55783]  48.399  45.637  49.069  45.788  52.059  48.126  45.528  46.467  49.403
    -[55792]  51.113  45.581  47.199  47.334  46.339  49.124  49.323  44.565  49.016
    -[55801]  51.790  47.006  51.560  47.054  46.013  45.585  46.447  49.426  46.249
    -[55810]  45.941  46.833  50.707  47.801  45.264  44.500  46.343  56.126  50.536
    -[55819]  48.710  48.972  45.001  46.537  50.764  46.422  45.086  48.370  41.564
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    -[55837]  44.711  55.414  45.456  44.702  47.735  49.681  46.008  49.414  45.149
    -[55846]  49.155  47.591  50.971  49.788  49.114  52.096  45.370  43.852  43.919
    -[55855]  42.836  48.736  47.783  48.081  49.130  48.621  43.187  43.641  46.352
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    -[55882]  49.603  43.833  41.449  43.510  45.801  24.878  41.396  46.924  42.283
    -[55891]  41.440  43.845  39.476  40.993  40.925  39.370  40.514  42.880  41.549
    -[55900]  48.072  41.803  47.586  44.214  42.317  43.883  42.684  46.641  46.040
    -[55909]  42.273  43.589  41.341  40.308  44.819  47.451  44.104  46.795  45.135
    -[55918]  43.615  41.423  43.190  42.802  45.086  42.234  44.671  40.991  42.139
    -[55927]  84.284  45.345  43.567  44.735  40.836  46.395  35.796  42.668  44.175
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    -[55945]  50.207  48.790  49.607  44.925  58.793  49.165  51.264  41.150  50.241
    -[55954]  59.450  41.036  46.558  48.536  60.269  48.460  60.045  45.120  46.251
    -[55963]  42.227  48.244  55.480  49.116  58.699  47.741  47.415  52.711  50.429
    -[55972]  48.467  57.509  83.451  81.345  57.940  57.530  51.425  51.039  49.014
    -[55981]  54.926  51.223  58.428  50.445  57.961  50.874  59.507  51.594  58.334
    -[55990]  57.774  48.057  57.319  57.796  59.820  58.024  50.739  57.655  46.330
    -[55999]  48.986  58.495  80.422  71.845  75.895  74.202  72.869  78.185  44.645
    -[56008]  73.479  91.661  83.672  99.825  78.799  78.527  73.558  86.397  66.455
    -[56017]  76.921  64.676  81.849  87.809  69.624  88.488  70.789  82.914  86.959
    -[56026]  75.532  82.185  69.387  65.315  75.979  56.292  59.489  84.380  64.156
    -[56035]  77.400  88.121  57.934  81.311  87.213  96.593  74.281  79.587  38.030
    -[56044]  88.599  81.659  70.651  89.317  88.505  75.996  71.226  50.358  68.969
    -[56053]  80.155  72.093  78.209  77.086  80.057  59.071  88.016  82.968  87.562
    -[56062]  79.375  69.408  77.832  70.242  64.238  71.100  86.714  66.460  84.712
    -[56071]  84.030  77.820  73.022  86.269  64.040  73.518  93.835  61.465  78.333
    -[56080]  73.005  85.354  71.915  91.216  71.783  98.111  79.225  91.258  70.624
    -[56089]  78.168  67.937  81.446  69.333  83.775  77.166  87.134  87.615  87.311
    -[56098]  63.982  88.386  92.715  98.457  74.063  70.483  95.075  84.563  88.942
    -[56107]  65.031  64.895  69.482  89.567  95.540  98.474  75.412  97.138  79.992
    -[56116]  64.404  88.033  80.581  71.935  84.602  78.865  76.345  79.988  89.472
    -[56125]  75.503  98.807  83.836  96.818  60.471  57.278  67.953  93.335  81.071
    -[56134]  86.988  88.485  93.590  90.406  61.662  74.714  63.001  86.477  88.854
    -[56143]  72.639  92.303  75.293 101.504  90.504  99.414 107.416  97.284  51.209
    -[56152] 105.776  92.331 106.774  80.675  74.937  86.956  84.290  71.142  87.609
    -[56161]  72.041  76.564  77.200  52.597  76.645  88.732  82.638  84.168  60.260
    -[56170]  80.428  80.458  70.296  86.614  72.150  44.534  50.564  78.252  66.795
    -[56179]  81.962  68.935  60.807  41.466  86.873  76.867  75.618  86.649  51.190
    -[56188]  72.249  74.744  77.939  83.323  68.026  81.698  67.512  73.933  60.953
    -[56197]  58.793  88.166  89.989  66.421  80.324  79.712  71.184  73.645  82.621
    -[56206]  60.171  80.014  61.840  55.111  63.891  85.054  86.728  85.325  46.196
    -[56215]  91.091  82.149  86.106  50.229  59.712  59.535  55.544  87.445  83.401
    -[56224]  71.875  68.745  80.045  75.650  80.551  83.922  67.399  88.150  44.823
    -[56233]  82.670  95.467  60.748  83.556  77.384  74.492  61.296  61.860  76.266
    -[56242] 100.048  88.184  74.764  88.706  72.996  93.926  54.322  82.994  77.279
    -[56251]  89.818  85.728  62.033  63.506  62.883  78.291  56.982  53.769  88.547
    -[56260]  81.186  46.051  50.335  55.341  83.674  80.759  62.863  73.331  71.178
    -[56269]  56.346  80.613  66.917  69.311  57.945  65.172  70.354  74.719  57.616
    -[56278]  48.263  83.496  72.276  75.155  84.332  83.321  53.468  84.377  41.233
    -[56287]  73.575  86.090  86.630  63.037  60.755  51.435  78.887  81.909  75.709
    -[56296]  92.091  64.835  87.839  77.665  87.741  89.245  75.001  71.751  79.603
    -[56305]  80.233  50.076  79.662  71.454  79.130  86.305  70.950  42.120  83.812
    -[56314]  51.225  77.120  97.841  50.621  61.374  73.978  84.808  60.346  72.239
    -[56323]  68.714  70.907  53.243  61.922  73.298  42.440  71.586  64.346  86.559
    -[56332]  74.569  53.655  78.836  79.943  71.241  75.031  79.982  68.003  65.250
    -[56341]  91.324  75.220  57.103  41.337  72.271  54.946  76.806  59.946  67.638
    -[56350]  60.568  59.967  43.809  61.293  74.683  61.154  77.774  61.926  85.262
    -[56359]  36.810  82.838  50.464  80.440  77.545  58.421  87.732  85.204  56.519
    -[56368]  78.585  64.658  56.048  51.848  48.467  38.222  79.205  60.545  50.894
    -[56377]  75.730  56.466  86.315  92.301  64.900  67.662  95.847  41.906  87.167
    -[56386]  88.764  72.729  82.496  73.857  62.591  80.939  80.729  78.324  67.948
    -[56395]  67.393  69.005  54.593  73.117  76.267  52.605  78.893  59.790  37.765
    -[56404]  79.918  67.704  79.163  67.521  52.366  72.292  46.671  61.715  93.210
    -[56413]  98.987  69.719  70.527  61.494  77.662  76.509  87.403  96.158  43.950
    -[56422]  82.189  72.300  41.197  81.550  52.200  60.650  71.760  72.725  89.539
    -[56431]  47.979  83.507  81.132  67.496  74.672  63.641  92.746  72.388  73.321
    -[56440]  75.652  25.236  96.974  85.330  52.703  43.483  91.069  93.680  63.821
    -[56449]  95.090  79.219  70.739  72.101  77.011  77.363  97.192  75.845  91.110
    -[56458]  94.837  77.910  97.811  55.356  67.490  73.991  75.212  87.373  64.582
    -[56467]  84.239  78.513  61.886  78.506  62.403  54.678  70.262  70.076  62.246
    -[56476]  83.596  62.695  59.392  71.449  76.344  65.040  75.242  70.997  62.482
    -[56485]  83.376  75.720  52.102  83.531  87.861  62.920  66.755  79.858  78.418
    -[56494]  63.419  66.052  80.006  66.639  82.462  69.574  68.277  65.113  71.092
    -[56503]  84.770  75.331  53.826  78.982  75.611  63.387  76.535  79.063  87.706
    -[56512]  87.497  61.690  69.459  80.612  69.893  72.849  72.033  82.471  63.759
    -[56521]  67.429  65.486  60.262  51.879  78.225  64.714  76.818  83.703  63.908
    -[56530]  78.530  61.242  69.183  84.746  82.745  74.672  66.391  52.917  59.110
    -[56539]  68.914  66.253  64.350  69.402  52.465  75.891  80.847  73.352  93.776
    -[56548]  34.586  70.607  63.798  78.470  68.692  71.284  60.203  63.012  68.416
    -[56557]  65.254  51.390  69.231  72.558  61.019  69.782  80.351  60.589  63.083
    -[56566]  47.378  78.645  65.258  65.603  61.753  61.196  65.778  66.673  79.851
    -[56575]  60.117  68.957  41.159  79.550  97.196  68.953  57.508  79.072  66.802
    -[56584]  67.936  46.840  50.507  69.673  42.579  62.306  75.715  75.330  54.058
    -[56593]  74.110  64.464  87.873  51.712  40.633  65.050  65.117  87.035  57.357
    -[56602]  75.251  67.221  79.062  77.435  62.561  70.206  61.561  82.623  50.665
    -[56611]  53.675  67.911  75.119  65.434  86.736  76.907  58.133  61.894  81.947
    -[56620]  69.070  80.703  86.307  85.336  76.230  75.815  78.221  70.023  74.565
    -[56629]  76.218  67.105  64.836  56.373  73.592  47.704  78.298  62.875  62.517
    -[56638]  61.212  55.570  60.777  65.105  53.310  76.080  49.896  65.775  69.201
    -[56647]  75.697  54.610  51.386  58.086  45.598  77.019  70.326  67.707  71.261
    -[56656]  56.039  76.194  66.637  71.041  59.615  57.925  76.108  66.919  69.540
    -[56665]  69.279  77.601  89.926  53.162  64.746  69.671  49.396  48.040  63.445
    -[56674]  59.168  62.453  52.587  73.284  81.836  64.650  71.066  75.610  70.835
    -[56683]  73.057  68.257  80.809  77.872  82.456  76.090  64.267  63.231  77.802
    -[56692]  86.120  71.456  61.297  81.046  75.180  79.345  65.077  85.017  83.919
    -[56701]  67.410  74.757  65.490  65.603  72.286  66.132  49.161  87.372  60.334
    -[56710]  63.186  78.729  72.732  51.330  84.507  72.963  86.242  64.942  73.134
    -[56719]  56.810  65.747  84.821  59.968  66.340  61.712  69.808  53.282  52.582
    -[56728]  72.549  73.899  57.835  76.342  31.195  78.860  49.984  78.057  75.996
    -[56737]  47.187  76.213  37.024  74.556  53.790  65.854  84.845  52.562  45.532
    -[56746]  39.196  68.750  55.176  58.986  75.560  48.715  64.358  65.870  41.162
    -[56755]  53.089  76.057  67.852  62.119  51.050  53.336  39.106  64.351  69.779
    -[56764]  72.484  66.125  57.571  88.479  55.922  60.346  60.338  34.888  59.114
    -[56773]  50.651  75.650  44.441  71.020  53.258  74.092  41.467  58.525  76.270
    -[56782]  69.529  53.907  80.092  79.617  64.953  88.485  64.487  76.433  73.707
    -[56791]  44.870  58.971  43.995  57.310  72.158  87.999  80.233  45.092  88.182
    -[56800]  45.439  69.228  49.683  50.512  73.770  57.713  69.519  88.443  71.856
    -[56809]  73.252  66.667  76.748  81.622  63.711  81.279  77.450  31.817  78.215
    -[56818]  88.858  66.118  62.282  70.731  81.049  78.872  83.767  80.619  86.394
    -[56827]  89.534  75.529  67.531  68.023  78.779  76.613  68.138  60.978  68.386
    -[56836]  63.896  60.542  80.622  60.860  75.310  62.459  73.625  71.721  61.308
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    -[56863]  67.901  61.801  64.524  64.301  70.531  70.535  71.551  66.324  74.230
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    -[58078]  91.743  84.506  75.391  88.721  73.639  62.798  93.437  59.907  65.080
    -[58087]  87.281  48.671  63.699  59.409  79.600  53.337  77.646  69.170  86.869
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    -[58132]  61.071  84.720  64.127  71.794  59.933  60.540  76.617  92.796  77.942
    -[58141]  42.469  78.498  72.313  82.816  57.205  80.673  79.614  85.936  96.315
    -[58150]  93.748  66.987  79.166  77.844  78.738  79.070  88.306  95.975  64.402
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    -[58204]  62.296  60.188  65.155  86.608  44.935  42.153  94.367  45.271  67.849
    -[58213]  58.710  61.123  84.679  69.181  76.417  80.733  48.995  72.295  82.269
    -[58222]  79.357  75.255  71.656  40.981  82.784  81.754  94.157  56.154  52.096
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    -[58240]  41.310  74.465  39.663  59.356  70.319  37.060  71.699  79.403  84.493
    -[58249]  64.052  44.591  35.967  65.484  74.582  65.698  80.910  84.141  49.750
    -[58258]  70.761  79.932  73.772  72.634  81.356  83.904  50.569  84.095  62.827
    -[58267]  85.999  62.050  72.625  67.157  84.285  92.770  72.124  87.338  27.530
    -[58276]  78.365  78.659  87.668  52.871  83.987  82.144  75.198  68.317  80.441
    -[58285]  72.533  63.722  53.926  81.028  77.719  59.119  61.035  73.010  68.657
    -[58294]  88.453  58.350  75.151  62.874  76.240  62.861  68.438  79.252  78.364
    -[58303]  78.392  63.224  58.116  74.544  89.183  90.971  53.714  70.775  82.305
    -[58312]  68.210  52.002  58.500  89.142  63.165  73.727  83.407  69.801  63.023
    -[58321]  90.174  73.815  64.920  67.999  56.221  83.012  90.410  53.645  73.791
    -[58330]  66.890  57.863  72.829  76.035  77.908  65.402  83.199  59.680  73.730
    -[58339]  77.432  67.610  83.730  61.104  70.327  64.029  63.706  80.822  83.890
    -[58348]  60.597  93.422  56.613  79.313  82.732  72.308  87.972  71.003  79.821
    -[58357]  62.948  83.962  75.110  56.746  73.725  64.463  80.802  79.420  77.673
    -[58366]  64.623  54.038  98.311  71.325  85.987  91.683  69.397  90.691  47.442
    -[58375]  88.055  57.133  90.948  67.201  84.097  65.122  79.684  68.927  71.662
    -[58384]  80.095  64.883  60.739  69.497  82.152  65.045  85.551  73.584  54.760
    -[58393]  67.273  78.451  89.127  77.563  79.852  87.553  64.680  31.927  63.181
    -[58402]  69.648  55.191  65.890  74.480  53.517  58.509  58.235  56.104  62.568
    -[58411]  78.605  70.533  80.977  78.044  87.349  49.678  54.211  78.964  95.407
    -[58420]  90.737  89.877  75.050  88.230  47.733  93.204  89.882  89.338  55.512
    -[58429]  56.297  96.632  74.260  67.355  65.139  54.475  33.958  88.052  88.660
    -[58438]  49.248  59.822  80.096  96.155  82.409  51.455  73.484  85.795  43.534
    -[58447]  59.908  72.505  64.664  82.573  68.553  46.208  66.608  81.861  93.354
    -[58456]  92.734  81.387  71.642  80.250  66.230  77.980  81.751  52.235  48.779
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    -[58474]  78.759  59.198  66.337  47.635  89.600  81.836  71.465  59.479  62.081
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    -[59959]  68.693  82.149  57.535  71.339  88.029  75.073  97.678  76.649  30.324
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    -[60013]  69.255  89.697  65.746  66.829  85.060  69.413  91.647  76.214  87.236
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    -[60031]  55.570  86.944  92.532  75.364  79.532  55.540  75.652  65.417  79.953
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    -[60076]  65.590  89.324  86.590  62.607  60.983  67.353  65.651  84.853  50.472
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    -[61912]  91.945  84.160  88.123  76.016  52.865  64.579  42.493  77.965  78.510
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    -[62875]  80.298  73.335  93.651  65.442  81.952  95.006  79.791  37.303  87.830
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    -[62893]  83.206  71.664  71.077  92.365  61.452  50.722  79.332  66.524  62.267
    -[62902]  98.564  71.153  87.577  96.184  72.430  96.932  83.663  92.485  95.586
    -[62911]  63.659  84.957  71.727  75.005  68.299  64.599  87.708  96.451  62.761
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    -[62983]  45.891  85.251  59.697  97.354  91.838  84.284  88.985  76.217  38.223
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    -[63091]  90.762  60.887  70.503  47.565  69.277  89.670  80.382  56.127  72.875
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    -[63199]  68.542  93.364 109.090  94.798  98.230  80.326  90.547  99.019  83.838
    -[63208]  77.885  94.223  70.210  71.592 101.557  88.991  95.203  47.200  84.886
    -[63217]  90.894  76.364  93.818  92.007 105.472  70.538  83.915  68.004  70.173
    -[63226]  93.223  89.375 102.357  92.316  89.837  87.996  84.658  74.093  53.273
    -[63235]  40.233  63.113 102.965  97.607  93.122 104.957  98.402  74.973  73.126
    -[63244] 104.087  66.391  83.842  57.453  64.388  59.628  62.508  83.781  63.062
    -[63253]  92.565  76.638  73.685  84.417  87.857  35.214  90.213  79.610  84.663
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    -[63298]  69.413  89.252  92.215  80.022  61.695  85.120  95.122  54.554  87.087
    -[63307]  72.400  68.248  71.644  87.095  61.400  69.747  78.140  38.711  72.483
    -[63316]  91.416  73.336  85.192  79.003  66.172  89.257  71.431  65.612  61.618
    -[63325]  81.771  88.249  88.082  30.098  79.081  34.462  62.618  79.377  86.023
    -[63334]  85.708  82.035  74.320  44.355  45.933  51.572  77.665  63.069  65.528
    -[63343]  37.647  61.743  84.981  75.346  82.229  75.135  79.284  76.482  85.268
    -[63352]  77.545  66.701  71.503  85.105  62.861  68.815  73.837  61.436  69.194
    -[63361]  65.927  73.694  50.828  78.895  81.629  50.144  70.780  71.752  52.923
    -[63370]  82.963  75.675  77.916  73.900  86.462  63.508  68.623  51.312  60.080
    -[63379]  72.198  54.327  54.842  64.213  64.258  62.023  67.246  62.612  84.595
    -[63388]  64.274  93.191  48.741  89.157  62.456  74.842  80.955  41.923  50.608
    -[63397]  73.627  78.931  77.888  35.765  41.737  59.628  62.111  89.230  40.465
    -[63406]  46.907  56.403  85.206  70.655  87.157  76.194  53.005  87.542  85.682
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    -[71677]  88.193  80.111  78.887  81.680  75.156  64.041  83.502  64.856  70.314
    -[71686]  73.294  83.417  56.469  84.829  75.899  73.757  73.663  71.349  39.255
    -[71695]  78.030  89.282  78.248  74.129  94.538  86.213  85.840  89.941  89.930
    -[71704]  80.389  66.741  88.381  90.678  46.700  50.442  77.401  72.990  56.611
    -[71713]  62.317  92.549  92.208  98.536  76.536  96.811  89.302  82.328  97.440
    -[71722]  49.614  74.118  77.154  67.643  78.869  62.826  66.899  77.070  91.035
    -[71731]  93.208  69.394  72.438  90.338  61.738  64.272  69.972  66.363  79.777
    -[71740]  95.440  57.684  66.170  61.379  89.484  42.359  87.141  44.617  54.106
    -[71749]  73.404  54.570  83.899  79.734  77.139  54.162  89.623  82.829  90.496
    -[71758]  85.453  82.403  63.460  91.335  89.242  85.518  93.052  92.080  77.378
    -[71767]  85.712  80.315  74.849  89.576  85.610  87.813  97.326  65.857  80.516
    -[71776]  67.625  80.728  60.628  70.387  95.294  92.530  95.572  84.398  93.273
    -[71785]  84.793  93.453  86.126  72.759  84.123  95.696  92.009  97.609  88.251
    -[71794]  76.820  86.323  75.510  95.028  85.676  88.692  98.045  66.513  69.351
    -[71803]  68.220  90.125  71.579  86.442  79.153  80.220  91.547  67.865  50.734
    -[71812]  63.919  81.554  89.412  91.690  79.693  53.962  81.894  75.045  86.269
    -[71821]  57.185  62.429  72.916  78.825  71.538  96.595  79.276  63.754  88.773
    -[71830]  57.921  76.909  79.311  68.756  64.633  93.056  73.098  60.761  89.302
    -[71839]  52.495  70.378  67.138  79.667  51.181  75.257  78.723  65.974  71.510
    -[71848]  80.387  51.421  89.671  60.807  75.471  82.891  78.792  77.687  71.004
    -[71857]  73.773  72.488  72.703  63.642  51.030  70.486  83.914  80.884  60.786
    -[71866]  93.882  70.042  81.858  77.114  76.015  75.840  70.799  89.549  72.961
    -[71875]  68.034  78.419  92.816  87.743  77.029  76.577  78.663  67.363  71.810
    -[71884]  97.115  86.292  81.527  81.653  65.492  82.632  82.782  92.127  88.922
    -[71893]  60.984  60.315  68.702  77.028  82.975  72.266  85.052  79.359  83.020
    -[71902]  84.624  75.389  87.299  61.303  74.419  88.930  61.355  74.904  70.853
    -[71911]  79.576  52.535  81.937  65.042  74.233  69.657  82.929  61.814  76.947
    -[71920]  87.968  89.014  82.254  93.667  71.439  78.598  71.396  81.548  51.306
    -[71929]  78.141  79.545  62.566  56.621  65.012  53.572  80.826  74.395  80.032
    -[71938]  89.499  71.804  83.641  65.797  53.770  74.689  78.872  65.210  79.688
    -[71947]  70.874  78.355  77.530  65.739  58.080  89.129  88.303  42.544  59.010
    -[71956]  61.897  52.366  79.739  60.226  93.599  68.400  58.692  90.712  70.113
    -[71965]  72.587  78.268  81.209  63.051  70.017  91.123  77.446  81.147  73.326
    -[71974]  73.604  89.273  52.575  72.835  68.240  86.308  66.688  71.548  82.078
    -[71983]  57.060  90.941  73.275  86.613  75.576  87.840  57.379  66.725  66.687
    -[71992]  61.110  94.379  76.062  78.026  65.770  58.251  85.262  84.828  90.978
    -[72001]  78.490  82.903  71.698  89.770  98.490  66.104  49.304  73.433  71.184
    -[72010]  50.655  58.673  78.404  85.707  75.895  66.275  74.816  77.230  79.610
    -[72019]  94.908  68.479  83.848  71.293  78.837  80.414  71.826  89.366  77.109
    -[72028]  87.933  76.110  75.855  56.515  80.812  67.101  56.653  62.971  79.341
    -[72037]  56.410  90.819  62.363  82.922  81.794  92.119  72.297  65.970  62.603
    -[72046]  82.649  65.582  72.189  91.938  82.309  76.477  82.855  79.512  89.780
    -[72055]  83.884  74.150  74.536  75.092  71.278  63.187  82.320  87.279  48.629
    -[72064]  88.730  72.472  78.785  65.091  85.954  84.486  75.810  84.765  58.138
    -[72073]  92.120  82.685  92.536  60.542  85.641  80.058  62.892  63.508  70.998
    -[72082]  90.261  96.352  78.824  80.292  75.975  75.886  97.821  73.780  75.409
    -[72091]  54.401  86.764  97.469  92.628  76.660  88.299  61.143  87.589  78.537
    -[72100]  78.946  77.200  92.924  90.300  68.512  91.691  60.661  71.604  57.776
    -[72109]  89.876  83.606  83.164  58.212  52.988 103.582  84.287  60.190  39.845
    -[72118]  81.260  77.618  56.389  36.892  56.553  73.687  78.849  91.983  68.628
    -[72127]  62.170  88.411  90.706  84.148  70.849  57.353  78.795  62.365  58.749
    -[72136]  77.014  76.235  58.569  75.082  65.058  68.343  86.930  74.047  52.144
    -[72145]  52.469  75.988  75.927  69.157  71.759  87.908  92.288  69.584  71.502
    -[72154]  77.527  50.105  88.389  87.407  94.449  67.448  96.908  92.297  59.645
    -[72163]  59.679  85.804  93.160  64.854  89.646  74.316  91.909  64.878  83.248
    -[72172]  48.680  85.437  71.972  52.335  89.274  77.703  43.665  97.599  78.456
    -[72181]  77.773  75.656  64.443  64.355  75.007  47.520  58.148  75.510  97.640
    -[72190]  83.291  67.437  66.343  64.150  59.243  79.577  84.365  65.467  65.005
    -[72199]  69.753  63.639  85.755  78.414  68.650  77.208  80.743  87.603  88.671
    -[72208]  44.803  65.979  89.573  33.809  85.757  90.381  79.232  87.612  90.250
    -[72217]  80.273  82.440  86.322  96.114  81.109  77.520  44.726  81.134  77.992
    -[72226]  70.229  90.739  93.184  86.165  74.837  74.395  78.783  84.728  65.317
    -[72235]  92.342  64.959  86.319  82.954  78.183  59.878  83.092  77.034  74.873
    -[72244]  86.758  77.901  63.021  85.307  65.196  90.704  78.630  69.559  87.365
    -[72253]  83.770  94.681  57.710  67.503  85.931  53.325  83.256  97.361  75.129
    -[72262]  85.290  90.583  62.620  90.384  85.884  74.147  95.193  75.613  77.614
    -[72271]  77.316  77.526  93.828  80.410  94.732  67.981  77.891  85.621  86.114
    -[72280]  95.832  94.008  86.681  84.344  95.721  84.743  76.177  98.136  84.148
    -[72289]  90.923  92.009  61.451  68.459  96.354  82.415  86.833  96.033  62.892
    -[72298]  77.632  87.117  86.161  75.025  72.913  75.008  85.438  82.927  49.310
    -[72307]  64.619  90.314  86.988  84.221  86.962  79.969  87.287  75.810  60.465
    -[72316]  90.974  86.296  76.759  73.117  74.209  80.807  85.350  67.780  99.385
    -[72325]  75.329  72.353  80.360  87.333  90.874  90.127  90.210  71.065 109.260
    -[72334]  98.097 100.911  69.695  71.707  97.427  87.990  80.373  91.482  62.973
    -[72343]  82.056  55.688  95.217 103.472  76.221 102.718 108.637  53.133  89.771
    -[72352] 103.178  91.217  76.582  99.068  84.110  86.775  98.828  76.869  81.614
    -[72361] 106.396 109.399  92.263  77.455  86.677  88.242  97.870  78.824 103.242
    -[72370] 105.313  83.794  90.674  93.422  96.373  73.696  66.709  88.998  77.172
    -[72379] 107.204 102.118  88.973  88.552 102.185 103.834  92.427  78.577  91.338
    -[72388]  85.493  58.822  60.290  61.469  69.246  64.416  91.061  74.540  70.368
    -[72397]  52.517  34.900  72.409  72.955  16.833  52.615  59.036  66.495  65.107
    -[72406]  76.923  50.140  54.071  61.950  36.739  58.047  34.812  51.989  83.607
    -[72415]  57.026  57.904  51.552  63.956  30.308  72.121  74.681  62.318  83.487
    -[72424]  86.649  82.291  62.579  49.165  67.010  85.877  71.783  50.992  83.031
    -[72433]  87.922  68.137  75.346  62.338  71.797  75.276  32.730  80.653  59.884
    -[72442]  84.250  72.788  79.136  66.764  77.460  75.009  78.598  75.668  74.030
    -[72451]  95.001  75.080  79.939  69.299  80.703  58.179  68.382  59.284  41.946
    -[72460]  73.325  82.340  76.203  75.982  67.149  70.495  85.015  47.931  61.613
    -[72469]  80.889  70.869  63.372  74.485  62.992  48.749  67.880  53.967  64.665
    -[72478]  60.660  79.058  81.641  69.719  85.219  74.236  85.712  75.134  67.275
    -[72487]  68.346  75.530  73.117  62.716  75.220  67.938  74.300  68.403  78.740
    -[72496]  74.429  52.566  57.374  69.279  87.770  61.832  73.844  73.738  73.271
    -[72505]  71.222  40.534  64.814  55.200  86.678  56.541  46.647  51.566  75.950
    -[72514]  75.192  69.843  63.063  85.772  67.250  65.979  53.465  81.672  67.741
    -[72523]  69.137  82.772  75.707  69.121  79.059  75.780  59.105  77.976  88.120
    -[72532]  91.357  78.643  93.314  71.622  77.128  89.192  79.328  69.011  73.465
    -[72541]  56.614  56.215  67.345  86.434  87.026  87.567  59.714  77.337  60.241
    -[72550]  88.509  56.934  62.173  72.130  66.751  76.459  72.047  94.853  87.683
    -[72559]  69.469  70.476  86.180  54.112  61.226  75.080  85.721  92.472  90.430
    -[72568]  70.920  64.242  73.984  55.469  62.979  69.691  87.998  71.205  73.371
    -[72577]  58.528  83.964  81.038  88.504  69.028  85.436  74.451  56.093  99.648
    -[72586]  67.652  63.448  69.890  62.797  71.580  83.732  78.129  65.152  80.434
    -[72595]  50.600  92.763  74.704  76.066  58.893  76.141  82.223  67.302  57.999
    -[72604]  70.930  95.472  89.344  61.273  81.002  71.656  88.769  83.570  67.075
    -[72613]  65.193  80.227  80.475  57.719  82.300  85.730  88.716  53.880  66.447
    -[72622]  64.884  55.960  52.138  73.063  68.904  70.607  74.647  72.352  78.399
    -[72631]  65.592  97.041  71.047  74.550  84.123  73.153  80.837  75.655  61.912
    -[72640]  76.527  62.932  38.442  66.545  68.159  60.883  78.824  69.147  87.960
    -[72649]  56.865  90.254  75.009  77.976  59.051  74.800  69.569  90.409  86.759
    -[72658]  88.769  64.368  57.441  79.089  68.590  51.231  65.046  43.870  77.494
    -[72667]  76.044  80.288  70.519  75.735  68.890  73.203  76.322  75.719  75.701
    -[72676]  53.457  60.119  91.322  82.012  78.988  69.911  56.853  87.783  87.133
    -[72685]  79.963  78.621  87.241  80.562  45.469  74.645  86.549  77.358  74.194
    -[72694]  87.961  91.112  84.081  55.342  87.435  86.906  96.880  88.442  69.360
    -[72703]  87.726  54.282  58.955  78.541 107.091  57.101  81.885  34.528  56.856
    -[72712]  68.300  74.733  65.945  92.250  77.178  79.198  86.870  83.178  77.215
    -[72721]  87.075  87.889  55.758  44.074  76.956  55.024  84.405  72.398  74.401
    -[72730]  63.210  81.383  82.518  23.327  65.276  81.855  88.829  84.549  55.661
    -[72739]  67.403  81.375  61.107  85.892  71.205  79.412  81.273  78.674  77.391
    -[72748]  74.220  76.679  77.844  76.333  85.309  66.930  79.607  70.895  67.164
    -[72757]  67.770  56.304  84.701  46.632  86.367  69.307  63.109  95.724  84.941
    -[72766]  83.819  84.829  95.552  60.716  70.866  69.579  79.703  53.023  83.848
    -[72775]  82.412  88.449  62.388  46.257  72.962  82.700  67.745  89.333  60.648
    -[72784]  75.917  83.950  61.250  84.781  77.658  89.653  84.649  75.995  77.647
    -[72793]  66.681  77.890  78.710  86.262  71.544  51.920  69.421  59.209  65.846
    -[72802]  84.811  96.926  82.086  71.095  82.761  84.973  71.549  71.061  87.270
    -[72811]  66.679  46.661  54.440  58.384  62.576  71.343  78.455  75.974  81.424
    -[72820]  78.317  79.995  85.876  90.184  70.701  66.839  89.216  90.398  60.171
    -[72829]  72.202  36.575  97.673  53.750  72.916  75.927  76.962  52.669  80.852
    -[72838]  60.315  84.476  87.249  72.329  84.806  88.485  78.695  73.081  73.892
    -[72847]  66.726  89.741  79.174  86.228  55.095  89.765  75.009  64.140  71.547
    -[72856]  56.135  73.540  75.591  51.661  74.967  71.419  64.898  74.160  87.869
    -[72865]  76.165  85.165  64.322  76.160  51.962  80.690  25.183  77.407  64.420
    -[72874]  59.629  59.355  59.819  76.103  73.905  65.485  75.743  99.106  56.321
    -[72883]  82.810  90.597  77.970  83.497  75.448  60.686  91.937  86.028  92.776
    -[72892]  71.041  89.216  72.128  58.188  76.885  75.925  85.302  68.586  63.717
    -[72901]  68.115  83.712  80.689  98.628  87.237  61.896  62.748  65.458  89.362
    -[72910]  56.775  67.811  74.997  66.745  71.922  89.745  68.426  79.347  68.513
    -[72919]  47.113  50.654  87.632  33.685  69.544  83.180  53.132  75.112  67.734
    -[72928]  76.779  74.787  49.740  49.289  46.357  63.284  81.794  49.069  80.960
    -[72937]  69.007  83.494  70.703  62.228  42.581  75.098  87.915  72.553  96.637
    -[72946]  72.224  64.020  48.447  81.403  77.249  74.863  60.549  82.568  64.990
    -[72955]  64.846  60.074  61.921  85.377  84.168  74.151  72.802  89.665  59.383
    -[72964]  75.700  70.004  71.348  48.642  57.444  69.098  76.391  61.020  44.622
    -[72973]  69.941  68.127  93.744  74.407  82.563  65.399  45.234  71.759  88.500
    -[72982]  79.554  66.855
    +
    select(cars, VehYear:VehicleAge) %>% 
    +  sapply(function(x) x / 1000) %>% head()
    + +
         VehYear VehicleAge
    +[1,]   2.006      0.003
    +[2,]   2.004      0.005
    +[3,]   2.005      0.004
    +[4,]   2.004      0.005
    +[5,]   2.005      0.004
    +[6,]   2.004      0.005
    + +

    across

    Applying functions with across from dplyr

    -

    across() makes it easy to apply the same transformation to multiple columns. Usually used with summarize().

    +

    across() makes it easy to apply the same transformation to multiple columns. Usually used with summarize() or mutate().

    + +
    summarize(across( .cols = <columns>, .fns = function, ... )) 
    -
    across( .cols = <columns>, .fns = function, ... )
    +

    or

    + +
    mutate(across(.cols = <columns>, .fns = function, ...))
    • List columns first : .cols =
    • @@ -15814,33 +468,44 @@

    • Then list any arguments for the function
    -

    Applying functions with across from dplyr.

    +

    Applying functions with across from dplyr

    -

    Combining with summarize():

    +

    Combining with summarize()

    -
    cars_dbl <- cars %>% select(Make, Model, where(is.double))
    +
    cars_dbl <- cars %>% select(Make, starts_with("Veh"))
     
     cars_dbl %>%
    +  summarize(across(.cols = everything(), .fns = mean))
    + +
    # A tibble: 1 × 5
    +   Make VehYear VehicleAge VehOdo VehBCost
    +  <dbl>   <dbl>      <dbl>  <dbl>    <dbl>
    +1    NA   2005.       4.18 71500.    6731.
    + +

    Applying functions with across from dplyr

    + +

    Can use with other tidyverse functions like group_by!

    + +
    cars_dbl %>%
       group_by(Make) %>%
       summarize(across(.cols = everything(), .fns = mean))
    -
    # A tibble: 33 × 12
    -   Make   Model  RefId IsBadBuy VehYear VehicleAge VehOdo  BYRNO VNZIP1 VehBCost
    -   <chr>  <dbl>  <dbl>    <dbl>   <dbl>      <dbl>  <dbl>  <dbl>  <dbl>    <dbl>
    - 1 ACURA     NA 36021.   0.273    2003.       6.52 81732. 21851. 61217.    9039.
    - 2 BUICK     NA 35431.   0.157    2004.       5.65 76238. 19755. 51298.    6169.
    - 3 CADIL…    NA 34173.   0.152    2004.       5.24 73770. 20383. 50775.   10958.
    - 4 CHEVR…    NA 35417.   0.0975   2006.       3.97 73390. 26912. 58874.    6835.
    - 5 CHRYS…    NA 37614.   0.129    2006.       3.65 66814. 31268. 58562.    6507.
    - 6 DODGE     NA 36851.   0.103    2006.       3.75 68261. 36094. 58788.    7047.
    - 7 FORD      NA 36866.   0.154    2005.       4.75 76749. 19887. 59427.    6403.
    - 8 GMC       NA 35245.   0.116    2004.       5.61 79273. 18802. 58113.    8342.
    - 9 HONDA     NA 35109.   0.109    2004.       5.33 77877. 24161. 52659.    8350.
    -10 HUMMER    NA 19533    0        2006        3    70809  21053  95673    11920 
    -# … with 23 more rows, and 2 more variables: IsOnlineSale <dbl>,
    -#   WarrantyCost <dbl>
    - -

    Applying functions with across from dplyr.

    +
    # A tibble: 33 × 5
    +   Make      VehYear VehicleAge VehOdo VehBCost
    +   <chr>       <dbl>      <dbl>  <dbl>    <dbl>
    + 1 ACURA       2003.       6.52 81732.    9039.
    + 2 BUICK       2004.       5.65 76238.    6169.
    + 3 CADILLAC    2004.       5.24 73770.   10958.
    + 4 CHEVROLET   2006.       3.97 73390.    6835.
    + 5 CHRYSLER    2006.       3.65 66814.    6507.
    + 6 DODGE       2006.       3.75 68261.    7047.
    + 7 FORD        2005.       4.75 76749.    6403.
    + 8 GMC         2004.       5.61 79273.    8342.
    + 9 HONDA       2004.       5.33 77877.    8350.
    +10 HUMMER      2006        3    70809    11920 
    +# … with 23 more rows
    + +

    Applying functions with across from dplyr

    Combining with summarize():

    @@ -15850,27 +515,26 @@

    group_by(Make) %>% summarize(across(.cols = everything(), .fns = mean, na.rm = TRUE)) -
    # A tibble: 33 × 12
    -   Make   Model  RefId IsBadBuy VehYear VehicleAge VehOdo  BYRNO VNZIP1 VehBCost
    -   <chr>  <dbl>  <dbl>    <dbl>   <dbl>      <dbl>  <dbl>  <dbl>  <dbl>    <dbl>
    - 1 ACURA     NA 36021.   0.273    2003.       6.52 81732. 21851. 61217.    9039.
    - 2 BUICK     NA 35431.   0.157    2004.       5.65 76238. 19755. 51298.    6169.
    - 3 CADIL…    NA 34173.   0.152    2004.       5.24 73770. 20383. 50775.   10958.
    - 4 CHEVR…    NA 35417.   0.0975   2006.       3.97 73390. 26912. 58874.    6835.
    - 5 CHRYS…    NA 37614.   0.129    2006.       3.65 66814. 31268. 58562.    6507.
    - 6 DODGE     NA 36851.   0.103    2006.       3.75 68261. 36094. 58788.    7047.
    - 7 FORD      NA 36866.   0.154    2005.       4.75 76749. 19887. 59427.    6403.
    - 8 GMC       NA 35245.   0.116    2004.       5.61 79273. 18802. 58113.    8342.
    - 9 HONDA     NA 35109.   0.109    2004.       5.33 77877. 24161. 52659.    8350.
    -10 HUMMER    NA 19533    0        2006        3    70809  21053  95673    11920 
    -# … with 23 more rows, and 2 more variables: IsOnlineSale <dbl>,
    -#   WarrantyCost <dbl>
    - -

    Applying functions with across from dplyr.

    +
    # A tibble: 33 × 5
    +   Make      VehYear VehicleAge VehOdo VehBCost
    +   <chr>       <dbl>      <dbl>  <dbl>    <dbl>
    + 1 ACURA       2003.       6.52 81732.    9039.
    + 2 BUICK       2004.       5.65 76238.    6169.
    + 3 CADILLAC    2004.       5.24 73770.   10958.
    + 4 CHEVROLET   2006.       3.97 73390.    6835.
    + 5 CHRYSLER    2006.       3.65 66814.    6507.
    + 6 DODGE       2006.       3.75 68261.    7047.
    + 7 FORD        2005.       4.75 76749.    6403.
    + 8 GMC         2004.       5.61 79273.    8342.
    + 9 HONDA       2004.       5.33 77877.    8350.
    +10 HUMMER      2006        3    70809    11920 
    +# … with 23 more rows
    + +

    Applying functions with across from dplyr

    Using different tidyselect() options:

    -
    cars_dbl %>%
    +
    cars_dbl %>% 
       group_by(Make) %>%
       summarize(across(.cols = starts_with("Veh"), .fns = mean))
    @@ -15889,60 +553,34 @@

    10 HUMMER 2006 3 70809 11920 # … with 23 more rows
    -

    Applying functions with across from dplyr.

    - -

    Combining with mutate():

    +

    Applying functions with across from dplyr

    -
    cars_dbl %>%
    -  mutate(across(.cols = starts_with("Veh"), .fns = round, digits = -3))
    - -
    # A tibble: 72,983 × 12
    -   Make     Model RefId IsBadBuy VehYear VehicleAge VehOdo BYRNO VNZIP1 VehBCost
    -   <chr>    <chr> <dbl>    <dbl>   <dbl>      <dbl>  <dbl> <dbl>  <dbl>    <dbl>
    - 1 MAZDA    MAZD…     1        0    2000          0  89000 21973  33619     7000
    - 2 DODGE    1500…     2        0    2000          0  94000 19638  33619     8000
    - 3 DODGE    STRA…     3        0    2000          0  74000 19638  33619     5000
    - 4 DODGE    NEON      4        0    2000          0  66000 19638  33619     4000
    - 5 FORD     FOCUS     5        0    2000          0  69000 19638  33619     4000
    - 6 MITSUBI… GALA…     6        0    2000          0  81000 19638  33619     6000
    - 7 KIA      SPEC…     7        0    2000          0  65000 19638  33619     4000
    - 8 FORD     TAUR…     8        0    2000          0  66000 19638  33619     4000
    - 9 KIA      SPEC…     9        0    2000          0  50000 21973  33619     6000
    -10 FORD     FIVE…    10        0    2000          0  85000 21973  33619     8000
    -# … with 72,973 more rows, and 2 more variables: IsOnlineSale <dbl>,
    -#   WarrantyCost <dbl>
    - -

    Applying functions with across from dplyr.

    - -

    Combining with mutate():

    +

    Combining with mutate(): rounding to the nearest power of 10 (with negative digits value)

    cars_dbl %>%
       mutate(across(
    -    .cols = everything(),
    -    .fns = str_replace_all,
    -    pattern = "A",
    -    replacement = "a"
    -  ))
    - -
    # A tibble: 72,983 × 12
    -   Make     Model RefId IsBadBuy VehYear VehicleAge VehOdo BYRNO VNZIP1 VehBCost
    -   <chr>    <chr> <chr> <chr>    <chr>   <chr>      <chr>  <chr> <chr>  <chr>   
    - 1 MaZDa    MaZD… 1     0        2006    3          89046  21973 33619  7100    
    - 2 DODGE    1500… 2     0        2004    5          93593  19638 33619  7600    
    - 3 DODGE    STRa… 3     0        2005    4          73807  19638 33619  4900    
    - 4 DODGE    NEON  4     0        2004    5          65617  19638 33619  4100    
    - 5 FORD     FOCUS 5     0        2005    4          69367  19638 33619  4000    
    - 6 MITSUBI… GaLa… 6     0        2004    5          81054  19638 33619  5600    
    - 7 KIa      SPEC… 7     0        2004    5          65328  19638 33619  4200    
    - 8 FORD     TaUR… 8     0        2005    4          65805  19638 33619  4500    
    - 9 KIa      SPEC… 9     0        2007    2          49921  21973 33619  5600    
    -10 FORD     FIVE… 10    0        2007    2          84872  21973 33619  7700    
    -# … with 72,973 more rows, and 2 more variables: IsOnlineSale <chr>,
    -#   WarrantyCost <chr>
    - -

    Applying functions with across from dplyr.

    - -

    Combining with mutate():

    + .cols = starts_with("Veh"), + .fns = round, + digits = -3)) + +
    # A tibble: 72,983 × 5
    +   Make       VehYear VehicleAge VehOdo VehBCost
    +   <chr>        <dbl>      <dbl>  <dbl>    <dbl>
    + 1 MAZDA         2000          0  89000     7000
    + 2 DODGE         2000          0  94000     8000
    + 3 DODGE         2000          0  74000     5000
    + 4 DODGE         2000          0  66000     4000
    + 5 FORD          2000          0  69000     4000
    + 6 MITSUBISHI    2000          0  81000     6000
    + 7 KIA           2000          0  65000     4000
    + 8 FORD          2000          0  66000     4000
    + 9 KIA           2000          0  50000     6000
    +10 FORD          2000          0  85000     8000
    +# … with 72,973 more rows
    + +

    Applying functions with across from dplyr.

    + +

    Combining with mutate() - the replace_na function

    # Child mortality data
     mort <- read_mortality() %>% rename(country = `...1`)
    @@ -15970,17 +608,149 @@ 

    10 Azerba… NA NA NA 0 0 0 NA NA NA NA # … with 187 more rows
    +

    Use custom functions within mutate and across

    + +
    times1000 <- function(x) x *1000
    +
    +airquality %>%
    +  mutate(across(
    +    .cols = everything(),
    +    .fns  = times1000
    +  )) %>% head(n = 2)
    + +
      Ozone Solar.R Wind  Temp Month  Day
    +1 41000  190000 7400 67000  5000 1000
    +2 36000  118000 8000 72000  5000 2000
    + +
    airquality %>%
    +  mutate(across(
    +    .cols = everything(),
    +    .fns  = function(x) x *1000
    +  )) %>% head(n = 2)
    + +
      Ozone Solar.R Wind  Temp Month  Day
    +1 41000  190000 7400 67000  5000 1000
    +2 36000  118000 8000 72000  5000 2000
    + +

    purrr package

    + +

    Similar to across, purrr is a package that allows you to apply a function to multiple columns in a data frame or multiple data objects in a list.

    + +

    map_df

    + +
    library(purrr)
    +airquality %>% map_df(replace_na, replace = 0)
    + +
    # A tibble: 153 × 6
    +   Ozone Solar.R  Wind  Temp Month   Day
    +   <int>   <int> <dbl> <int> <int> <int>
    + 1    41     190   7.4    67     5     1
    + 2    36     118   8      72     5     2
    + 3    12     149  12.6    74     5     3
    + 4    18     313  11.5    62     5     4
    + 5     0       0  14.3    56     5     5
    + 6    28       0  14.9    66     5     6
    + 7    23     299   8.6    65     5     7
    + 8    19      99  13.8    59     5     8
    + 9     8      19  20.1    61     5     9
    +10     0     194   8.6    69     5    10
    +# … with 143 more rows
    + +

    Multiple Data Frames

    + +

    Multiple data frames

    + +

    Lists help us work with multiple data frames

    + +
    AQ_list <- list( AQ1 = airquality, AQ2 = airquality, AQ3 = airquality)
    +str(AQ_list)
    + +
    List of 3
    + $ AQ1:'data.frame':    153 obs. of  6 variables:
    +  ..$ Ozone  : int [1:153] 41 36 12 18 NA 28 23 19 8 NA ...
    +  ..$ Solar.R: int [1:153] 190 118 149 313 NA NA 299 99 19 194 ...
    +  ..$ Wind   : num [1:153] 7.4 8 12.6 11.5 14.3 14.9 8.6 13.8 20.1 8.6 ...
    +  ..$ Temp   : int [1:153] 67 72 74 62 56 66 65 59 61 69 ...
    +  ..$ Month  : int [1:153] 5 5 5 5 5 5 5 5 5 5 ...
    +  ..$ Day    : int [1:153] 1 2 3 4 5 6 7 8 9 10 ...
    + $ AQ2:'data.frame':    153 obs. of  6 variables:
    +  ..$ Ozone  : int [1:153] 41 36 12 18 NA 28 23 19 8 NA ...
    +  ..$ Solar.R: int [1:153] 190 118 149 313 NA NA 299 99 19 194 ...
    +  ..$ Wind   : num [1:153] 7.4 8 12.6 11.5 14.3 14.9 8.6 13.8 20.1 8.6 ...
    +  ..$ Temp   : int [1:153] 67 72 74 62 56 66 65 59 61 69 ...
    +  ..$ Month  : int [1:153] 5 5 5 5 5 5 5 5 5 5 ...
    +  ..$ Day    : int [1:153] 1 2 3 4 5 6 7 8 9 10 ...
    + $ AQ3:'data.frame':    153 obs. of  6 variables:
    +  ..$ Ozone  : int [1:153] 41 36 12 18 NA 28 23 19 8 NA ...
    +  ..$ Solar.R: int [1:153] 190 118 149 313 NA NA 299 99 19 194 ...
    +  ..$ Wind   : num [1:153] 7.4 8 12.6 11.5 14.3 14.9 8.6 13.8 20.1 8.6 ...
    +  ..$ Temp   : int [1:153] 67 72 74 62 56 66 65 59 61 69 ...
    +  ..$ Month  : int [1:153] 5 5 5 5 5 5 5 5 5 5 ...
    +  ..$ Day    : int [1:153] 1 2 3 4 5 6 7 8 9 10 ...
    + +

    Multiple data frames: sapply

    + +
    AQ_list %>% sapply(summary)
    + +
          AQ1                AQ2                AQ3               
    + [1,] "Min.   :  1.00  " "Min.   :  1.00  " "Min.   :  1.00  "
    + [2,] "1st Qu.: 18.00  " "1st Qu.: 18.00  " "1st Qu.: 18.00  "
    + [3,] "Median : 31.50  " "Median : 31.50  " "Median : 31.50  "
    + [4,] "Mean   : 42.13  " "Mean   : 42.13  " "Mean   : 42.13  "
    + [5,] "3rd Qu.: 63.25  " "3rd Qu.: 63.25  " "3rd Qu.: 63.25  "
    + [6,] "Max.   :168.00  " "Max.   :168.00  " "Max.   :168.00  "
    + [7,] "NA's   :37  "     "NA's   :37  "     "NA's   :37  "    
    + [8,] "Min.   :  7.0  "  "Min.   :  7.0  "  "Min.   :  7.0  " 
    + [9,] "1st Qu.:115.8  "  "1st Qu.:115.8  "  "1st Qu.:115.8  " 
    +[10,] "Median :205.0  "  "Median :205.0  "  "Median :205.0  " 
    +[11,] "Mean   :185.9  "  "Mean   :185.9  "  "Mean   :185.9  " 
    +[12,] "3rd Qu.:258.8  "  "3rd Qu.:258.8  "  "3rd Qu.:258.8  " 
    +[13,] "Max.   :334.0  "  "Max.   :334.0  "  "Max.   :334.0  " 
    +[14,] "NA's   :7  "      "NA's   :7  "      "NA's   :7  "     
    +[15,] "Min.   : 1.700  " "Min.   : 1.700  " "Min.   : 1.700  "
    +[16,] "1st Qu.: 7.400  " "1st Qu.: 7.400  " "1st Qu.: 7.400  "
    +[17,] "Median : 9.700  " "Median : 9.700  " "Median : 9.700  "
    +[18,] "Mean   : 9.958  " "Mean   : 9.958  " "Mean   : 9.958  "
    +[19,] "3rd Qu.:11.500  " "3rd Qu.:11.500  " "3rd Qu.:11.500  "
    +[20,] "Max.   :20.700  " "Max.   :20.700  " "Max.   :20.700  "
    +[21,] NA                 NA                 NA                
    +[22,] "Min.   :56.00  "  "Min.   :56.00  "  "Min.   :56.00  " 
    +[23,] "1st Qu.:72.00  "  "1st Qu.:72.00  "  "1st Qu.:72.00  " 
    +[24,] "Median :79.00  "  "Median :79.00  "  "Median :79.00  " 
    +[25,] "Mean   :77.88  "  "Mean   :77.88  "  "Mean   :77.88  " 
    +[26,] "3rd Qu.:85.00  "  "3rd Qu.:85.00  "  "3rd Qu.:85.00  " 
    +[27,] "Max.   :97.00  "  "Max.   :97.00  "  "Max.   :97.00  " 
    +[28,] NA                 NA                 NA                
    +[29,] "Min.   :5.000  "  "Min.   :5.000  "  "Min.   :5.000  " 
    +[30,] "1st Qu.:6.000  "  "1st Qu.:6.000  "  "1st Qu.:6.000  " 
    +[31,] "Median :7.000  "  "Median :7.000  "  "Median :7.000  " 
    +[32,] "Mean   :6.993  "  "Mean   :6.993  "  "Mean   :6.993  " 
    +[33,] "3rd Qu.:8.000  "  "3rd Qu.:8.000  "  "3rd Qu.:8.000  " 
    +[34,] "Max.   :9.000  "  "Max.   :9.000  "  "Max.   :9.000  " 
    +[35,] NA                 NA                 NA                
    +[36,] "Min.   : 1.0  "   "Min.   : 1.0  "   "Min.   : 1.0  "  
    +[37,] "1st Qu.: 8.0  "   "1st Qu.: 8.0  "   "1st Qu.: 8.0  "  
    +[38,] "Median :16.0  "   "Median :16.0  "   "Median :16.0  "  
    +[39,] "Mean   :15.8  "   "Mean   :15.8  "   "Mean   :15.8  "  
    +[40,] "3rd Qu.:23.0  "   "3rd Qu.:23.0  "   "3rd Qu.:23.0  "  
    +[41,] "Max.   :31.0  "   "Max.   :31.0  "   "Max.   :31.0  "  
    +[42,] NA                 NA                 NA                
    +

    Summary

    • Simple functions take the form:
        -
      • NEW_FUNCTION <- function(x, y) x + y ..
      • -
      • Can specify defaults like function(x = 1, y = 2)
      • +
      • NEW_FUNCTION <- function(x, y){x + y}
      • +
      • Can specify defaults like function(x = 1, y = 2){x + y} -return will provide a value as output
      • +
      • print will simply print the value on the screen but not save it
    • Apply your functions with sapply(<a vector or list>, some_function)
    • Use across() to apply functions across multiple columns of data
    • +
    • need to use across within summarize() or mutate()
    • +
    • purrr is a package that you can use to do more iterative work easily
    • +
    • can use sapply or purrr to work with multiple data frames within lists simultaneously

    Website

    diff --git a/modules/Functions/lab/Functions_Lab.html b/modules/Functions/lab/Functions_Lab.html index 87846c68d..37c16c878 100644 --- a/modules/Functions/lab/Functions_Lab.html +++ b/modules/Functions/lab/Functions_Lab.html @@ -179,15 +179,21 @@

    Factors Lab

    library(dplyr) library(ggplot2)
      -
    1. Create a function that takes one argument, a vector, and returns the sum of the vector squared. Call it “sum_squared”. Test your function on the vector c(2,7,21,30,90) - you should get the answer 22500.
    2. +
    3. Create a function that takes one argument, a vector, and returns the sum of the vector and squares the result. Call it “sum_squared”. Test your function on the vector c(2,7,21,30,90) - you should get the answer 22500.
    # General format
    -NEW_FUNCTION <- function(x, y) x + y ..
    +NEW_FUNCTION <- function(x, y) x + y +

    or

    +
    # General format
    +NEW_FUNCTION <- function(x, y){
    +result <- x + y 
    +return(result)
    +}
    1. Create a function that takes two arguments, (1) a vector and (2) a numeric value. This function tests whether the number (2) is contained within the vector (1). Call it “has_n”. Test your function on the vector c(2,7,21,30,90) and number 21 - you should get the answer TRUE.

    2. Amend the function “has_n” from #2 so that it takes a default value of 21 for the numeric argument.

    3. Read in the SARS-CoV-2 Vaccination data from http://jhudatascience.org/intro_to_r/data/USA_covid19_vaccinations.csv. Assign the data the name “vacc”.

    4. -
    5. We want to get some summary statistics on the Moderna vaccines. Use across inside summarize to get the sum total number vaccine doses for any variable containing the word “Moderna” or starting with “Total”. Hint: use matches() AND starts_with() to select the right columns inside across. Keep in mind that this includes the United States as a whole and so is not totally accurate!

    6. +
    7. We want to get some summary statistics on the Moderna vaccines. Use across inside summarize to get the sum total number vaccine doses for any variable containing the word “Moderna” or starting with “Total”. Hint: use contains() AND starts_with() to select the right columns inside across. Keep in mind that this includes the United States as a whole and so it is not totally accurate! Remember that NA values can influence calculations.

    # General format
     data %>%
    @@ -197,7 +203,7 @@ 

    Factors Lab

    {additional arguments} ))
      -
    1. Use across and mutate to convert all columns containing the word “Percent” into proportions (i.e., divide that value by 100). Hint: use matches() to select the right columns. Use a “function on the fly” to divide by 100. It will also be easier to check your work if you select() columns that match “Percent”.

    2. +
    3. Use across and mutate to convert all columns containing the word “Percent” into proportions (i.e., divide that value by 100). Hint: use contains() to select the right columns. Use a “function on the fly” to divide by 100. It will also be easier to check your work if you select() columns that match “Percent”.

    4. Use across and mutate to convert all columns starting with the word “Total” into a binary variable: TRUE if the value is greater than 10,000,000 and FALSE if less than or equal to 10,000,000. Hint: use starts_with() to select the columns starting with “Total”. Use a “function on the fly” to do a logical test if the value is greater than 10,000,000.

    Bonus / Extra practice

    diff --git a/modules/Functions/lab/Functions_Lab_Key.html b/modules/Functions/lab/Functions_Lab_Key.html index a49acea80..8af1dfa32 100644 --- a/modules/Functions/lab/Functions_Lab_Key.html +++ b/modules/Functions/lab/Functions_Lab_Key.html @@ -179,10 +179,16 @@

    Factors Lab Key

    library(dplyr) library(ggplot2)
      -
    1. Create a function that takes one argument, a vector, and returns the sum of the vector squared. Call it “sum_squared”. Test your function on the vector c(2,7,21,30,90) - you should get the answer 22500.
    2. +
    3. Create a function that takes one argument, a vector, and returns the sum of the vector and squares the result. Call it “sum_squared”. Test your function on the vector c(2,7,21,30,90) - you should get the answer 22500.
    # General format
    -NEW_FUNCTION <- function(x, y) x + y ..
    +NEW_FUNCTION <- function(x, y) x + y +

    or

    +
    # General format
    +NEW_FUNCTION <- function(x, y){
    +result <- x + y 
    +return(result)
    +}
    x <- c(2, 7, 21, 30, 90)
     
     sum_squared <- function(x) sum(x)^2
    @@ -219,7 +225,7 @@ 

    Factors Lab Key

    # If downloaded # vacc <- read_csv("USA_covid19_vaccinations.csv")
      -
    1. We want to get some summary statistics on the Moderna vaccines. Use across inside summarize to get the sum total number vaccine doses for any variable containing the word “Moderna” or starting with “Total”. Hint: use matches() AND starts_with() to select the right columns inside across. Keep in mind that this includes the United States as a whole and so is not totally accurate!
    2. +
    3. We want to get some summary statistics on the Moderna vaccines. Use across inside summarize to get the sum total number vaccine doses for any variable containing the word “Moderna” or starting with “Total”. Hint: use contains() AND starts_with() to select the right columns inside across. Keep in mind that this includes the United States as a whole and so it is not totally accurate! Remember that NA values can influence calculations.
    # General format
     data %>%
    @@ -230,7 +236,7 @@ 

    Factors Lab Key

    ))
    vacc %>%
       summarize(across(
    -    .cols = matches("Moderna") & starts_with("Total"),
    +    .cols = contains("Moderna") & starts_with("Total"),
         .fns = sum
       ))
    ## # A tibble: 1 × 4
    @@ -239,7 +245,7 @@ 

    Factors Lab Key

    ## 1 482227080 403816391 NA NA
    vacc %>%
       summarize(across(
    -    .cols = matches("Moderna") & starts_with("Total"),
    +    .cols = contains("Moderna") & starts_with("Total"),
         .fns = sum,
         na.rm = TRUE
       ))
    @@ -248,14 +254,14 @@

    Factors Lab Key

    ## <dbl> <dbl> <dbl> <dbl> ## 1 482227080 403816391 29736587 31851324
      -
    1. Use across and mutate to convert all columns containing the word “Percent” into proportions (i.e., divide that value by 100). Hint: use matches() to select the right columns. Use a “function on the fly” to divide by 100. It will also be easier to check your work if you select() columns that match “Percent”.
    2. +
    3. Use across and mutate to convert all columns containing the word “Percent” into proportions (i.e., divide that value by 100). Hint: use contains() to select the right columns. Use a “function on the fly” to divide by 100. It will also be easier to check your work if you select() columns that match “Percent”.
    vacc %>%
       mutate(across(
    -    .cols = matches("Percent"),
    +    .cols = contains("Percent"),
         .fns = function(x) x / 100
       )) %>%
    -  select(matches("Percent"))
    + select(contains("Percent"))
    ## # A tibble: 64 × 34
     ##    `Percent of Total Pop wi…` `Percent of 18…` `Percent of To…` `Percent of 18…`
     ##                         <dbl>            <dbl>            <dbl>            <dbl>
    diff --git a/modules/Statistics/Statistics.html b/modules/Statistics/Statistics.html
    index a9ca3d57c..49a5fa41e 100644
    --- a/modules/Statistics/Statistics.html
    +++ b/modules/Statistics/Statistics.html
    @@ -296,7 +296,7 @@ 

    x <- circ %>% pull(orangeAverage)
     y <- circ %>% pull(purpleAverage)
    -
    plot(x,y)
    +
    plot(x, y)

    @@ -311,7 +311,7 @@

    [1] 0.9195356
    -
    cor.test(x,y)
    +
    cor.test(x, y)
         Pearson's product-moment correlation
    @@ -329,7 +329,7 @@ 

    The broom package helps make stats results look tidy

    -
    cor_result <-tidy(cor.test(x,y))
    +
    cor_result <- tidy(cor.test(x, y))
     glimpse(cor_result)
    Rows: 1
    @@ -348,10 +348,12 @@ 

    In plot form… geom_smooth() and annotate() can help.

    corr_value <- pull(cor_result, estimate) %>% round(digits = 4)
    -cor_label = paste("R =", corr_value)
    +cor_label <- paste("R =", corr_value)
     circ %>%
       ggplot(aes(x = orangeAverage, y = purpleAverage)) +
    -  geom_point(size = 0.3) + geom_smooth() + annotate("text", x = 2000, y = 7500, label = cor_label)
    + geom_point(size = 0.3) + + geom_smooth() + + annotate("text", x = 2000, y = 7500, label = cor_label)

    ## Plotting with ggpubr

    @@ -362,7 +364,9 @@

    library(ggpubr) circ %>% ggplot(aes(x = orangeAverage, y = purpleAverage)) + - geom_point(size = 0.3) + geom_smooth() + stat_cor(p.accuracy = 0.001)
    + geom_point(size = 0.3) + + geom_smooth() + + stat_cor(p.accuracy = 0.001)

    @@ -520,11 +524,11 @@

    [1] 0.06533333 0.00200000 0.31000000 0.00004000
    -
    p.adjust(my_pvalues, method = "bonferroni") #multiply by number of tests
    +
    p.adjust(my_pvalues, method = "bonferroni") # multiply by number of tests
    [1] 0.19600 0.00400 1.00000 0.00004
    -
    my_pvalues*4
    +
    my_pvalues * 4
    [1] 0.19600 0.00400 1.24000 0.00004
    @@ -819,7 +823,9 @@

    Can also use tidy and glimpse to see the output nicely.

    fit2 <- glm(visits ~ hours + revenue, data = esdcomp)
    -fit2 %>% tidy() %>% glimpse()
    +fit2 %>% + tidy() %>% + glimpse()
    Rows: 3
     Columns: 5
    @@ -912,9 +918,13 @@ 

    Relative to the level is not listed.

    -
    circ <- circ %>% mutate(day = factor(day,levels = 
    -          c("Monday", "Tuesday", "Wednesday", 
    -          "Thursday", "Friday", "Saturday", "Sunday")))
    +
    circ <- circ %>% mutate(day = factor(day,
    +  levels =
    +    c(
    +      "Monday", "Tuesday", "Wednesday",
    +      "Thursday", "Friday", "Saturday", "Sunday"
    +    )
    +))
     fit_5 <- glm(orangeBoardings ~ day, data = circ)
     summary(fit_5)
    @@ -1661,7 +1671,7 @@

    Class is a 0/1-valued variable indicating if the tumor was malignant (0 if malignant, 1 if benign).

    -
    binom_fit <-glm(Class ~ UShap + USize, data = wbca, family = binomial(link = "logit"))
    +
    binom_fit <- glm(Class ~ UShap + USize, data = wbca, family = binomial(link = "logit"))
     
     summary(binom_fit)
    @@ -1694,7 +1704,7 @@

    This data shows whether people became ill after eating ice cream in the 1940s.

    -
    #install.packages(epitools)
    +
    # install.packages(epitools)
     library(epitools)
     data(oswego)
     ice_cream <-
    diff --git a/modules/Subsetting_Data_in_R/index_withbase.html b/modules/Subsetting_Data_in_R/index_withbase.html
    index 568c30983..64aa795d1 100644
    --- a/modules/Subsetting_Data_in_R/index_withbase.html
    +++ b/modules/Subsetting_Data_in_R/index_withbase.html
    @@ -366,7 +366,7 @@ 

    { UseMethod("filter") } -<bytecode: 0x5622e20699f8> +<bytecode: 0x564f139139c0> <environment: namespace:dplyr>

    Renaming Columns of a data.frame: dplyr

    diff --git a/modules/cheatsheets/Day-1.pdf b/modules/cheatsheets/Day-1.pdf index e379ff6acea247a8a01782f4bd6f7acbfc28930a..840faf898b4885477bf7fc60726f9bb18b6b6b43 100644 GIT binary patch delta 129 zcmZqaU~lPQZ`i_kcfYEUfuV(wsewV1CYQc%eu_(CNveW|i<;KLQ1yJKg5{I2msH3Ax!`P delta 129 zcmZqaU~lPQZ`i_kcfYEkrJ;q9g^_ubCYQc%eu_(CNveW|i#fN=BKzMmZU0ZxL6q(7#SNF!X&pJS;IJu y&)L=7)X2cx$jHLnz}3aj(A3%0&Dq$((Ztli(aG4%)zD7ChLDo&b9Xc9FaiLSdLq;S delta 129 zcmX^4lkMbBwuUW?^Vg^vS{hmy0b!ITm%eX)ic4Zis)B}#m63swv4J5>a{G}rjMMm> wjm=HWEltc!oXm|}TucoNEZt0v4J?d|+zed}94%ek>=bMWDcL@EH=_h-~a#s diff --git a/modules/cheatsheets/Day-3.pdf b/modules/cheatsheets/Day-3.pdf index c2f1d2af1843f9bfa06e000d809700c5bbf69598..778710952f0256a260151266a5821cc9867d4de3 100644 GIT binary patch delta 129 zcmeC0$lf)PyJp(aF@!PQiwdlI@Ad88sOJ<+CBu diff --git a/modules/cheatsheets/Day-4.pdf b/modules/cheatsheets/Day-4.pdf index 79daa05c1ecaeda6e6724a38df1a33f7bc43f4c5..a87efc65506d27c94cec581ff2fb8eaa8adbc49b 100644 GIT binary patch delta 128 zcmdlqfql~i_J%Ety+>7z3=A!dObv{pG`aMB^HW?BOHvgyT&#=?jEoHoVUp7~9c6su wY-r+QZf0uXW@K(^=HhH(=xF9@YH8$Z;_6~)VB%)rXs2L9NXhnx#~1?{0U#|Rt^fc4 delta 128 zcmdlqfql~i_J%Ety+>6IEe$P#fN=BKzMmZU0ZxL6q(7#SNF!X&ppoXgnC wn+a delta 128 zcmZ2=oo&^1wuUW?d*-SdS{hmySr}PHX>#fN=BKzMmZU0ZxL6q(7#SNF!X&ppoXgnC x<7D9I;^b!LXz6BQ>S}J`Z0_V{?rLIbV(DaRVQ67#WT#+bOhC!@6{{GT7y)A3BAWmJ diff --git a/modules/cheatsheets/Day-6.pdf b/modules/cheatsheets/Day-6.pdf index 6c8c95ff9913dbb6533263dbaecf879593f98c7f..09a49652106496cf6608c22d6a155ea8408413c7 100644 GIT binary patch delta 129 zcmezWpZ))T_J%EtzdooM85mj^nHm^JX>#fN=BKzMmZU0ZxL6q(7#SNF!X&rLe`HMO xb+$Aybv89JG&XcKvv4#wbun>rGIld{b~AIabToBwcD7TnA*5vc$$yMyi~s@_Bwhdj delta 129 zcmezWpZ))T_J%EtzdooMS{hmySr{8cX>#fN=BKzMmZU0ZxL6q(7#SNF!X&rLe`HMO xb#^g!F}8HGbh0!sF*S8Hb}@7`v9Po>F>*FBa&iA*5vc$$yMyi~t8;Bq#s? diff --git a/modules/cheatsheets/Day-7.pdf b/modules/cheatsheets/Day-7.pdf index 30430f8d3c75bf14fc92b8313393d944a3052499..01e6d55ac7251944012d7a1c0068880f57f6dc10 100644 GIT binary patch delta 129 zcmZ4chHdQ|wuUW?rOQ-}3=A!dObv{qG`aMB^HW?BOHvgyT&#=?jEoHoVUpWtEn}4C xb2fD|G;}s`aWXP@b96Crb~ZFOG%+@IH8FK@b2YGZakf*iA*5vck1dR*i~u^(B8~t6 delta 129 zcmZ4chHdQ|wuUW?rOQ+eEe$P=bcM#ct)Fv;zqZHz|T w&d#nbmd=)rPR53YW{##V<}Q}z#+HtbW-d-f=8mpr26hTIgp^D_HIeZP0Hfp~(EtDd delta 128 zcmdnDlx^QqwuUW?25qW_mWCEa7RClqnq2z6`6(`mC8-J;E>=bcM#ct)Fv;zqZHz|T w&ZdSYW`@oNj%Ef1Mux_&ZcfIgE>6xah9;)wM$V3I&UOkmgp^D_HIeZP0F6K)WdHyG diff --git a/modules/cheatsheets/Day-9.pdf b/modules/cheatsheets/Day-9.pdf index a6632c39a4318417c7342f0cd21e68a4cb0ed4c8..ca7040cd87dd039437b4dc09331be55ee77511a6 100644 GIT binary patch delta 128 zcmbQUm~GBtwuUW?#cira28I?!rUoWanq2z6`6(`mC8-J;E>=bcM#ct)Fv;yR+8FO~ wIvcw)z85vlbnHrdx8QCe=5K=OI=LE*b0KW?%q5uE@ delta 128 zcmbQUm~GBtwuUW?#cisFmWCEa7RH8Anq2z6`6(`mC8-J;E>=bcM#ct)Fv;yR+8FO~ wI$M|;85=qq8Cp6UnHV{n8o62+o0z$n8XH?UIhvW8xY{Y$5K=OI=LE*b0K>c?!~g&Q diff --git a/quotes_vs_backticks.html b/quotes_vs_backticks.html index 6a37ed1dd..7935c1815 100644 --- a/quotes_vs_backticks.html +++ b/quotes_vs_backticks.html @@ -319,10 +319,10 @@

    tibble() for naming variables

    ## `Number!` `Var with space` `2022` `2021` typical typical2 ## <int> <chr> <int> <int> <int> <int> ## 1 1 A 2 1 1 1 -## 2 2 B 1 3 2 2 -## 3 3 C 3 4 3 3 -## 4 4 D 5 2 4 4 -## 5 5 E 4 5 5 5
    +## 2 2 B 4 5 2 2 +## 3 3 C 3 2 3 3 +## 4 4 D 1 3 4 4 +## 5 5 E 5 4 5 5
    # this works
     
     ex_data <- tibble(
    @@ -337,11 +337,11 @@ 

    tibble() for naming variables

    ## # A tibble: 5 × 6
     ##   `Number!` `Var with space` `2022` `2021` typical typical2
     ##       <int> <chr>             <int>  <int>   <int>    <int>
    -## 1         1 A                     3      1       1        1
    -## 2         2 B                     1      2       2        2
    -## 3         3 C                     2      3       3        3
    -## 4         4 D                     5      5       4        4
    -## 5         5 E                     4      4       5        5
    +## 1 1 A 1 2 1 1 +## 2 2 B 2 1 2 2 +## 3 3 C 5 4 3 3 +## 4 4 D 3 5 4 4 +## 5 5 E 4 3 5 5

    rename()

    @@ -351,32 +351,32 @@

    rename()

    ## # A tibble: 5 × 6
     ##   Number `Var with space` `2022` `2021` typical typical2
     ##    <int> <chr>             <int>  <int>   <int>    <int>
    -## 1      1 A                     3      1       1        1
    -## 2      2 B                     1      2       2        2
    -## 3      3 C                     2      3       3        3
    -## 4      4 D                     5      5       4        4
    -## 5      5 E                     4      4       5        5
    +## 1 1 A 1 2 1 1 +## 2 2 B 2 1 2 2 +## 3 3 C 5 4 3 3 +## 4 4 D 3 5 4 4 +## 5 5 E 4 3 5 5
    ex_data %>%
       rename(Number = "Number!")
    ## # A tibble: 5 × 6
     ##   Number `Var with space` `2022` `2021` typical typical2
     ##    <int> <chr>             <int>  <int>   <int>    <int>
    -## 1      1 A                     3      1       1        1
    -## 2      2 B                     1      2       2        2
    -## 3      3 C                     2      3       3        3
    -## 4      4 D                     5      5       4        4
    -## 5      5 E                     4      4       5        5
    +## 1 1 A 1 2 1 1 +## 2 2 B 2 1 2 2 +## 3 3 C 5 4 3 3 +## 4 4 D 3 5 4 4 +## 5 5 E 4 3 5 5
    # not necessary but not problematic to put new typical name in quotes
     ex_data %>%
       rename("Number" = "Number!")
    ## # A tibble: 5 × 6
     ##   Number `Var with space` `2022` `2021` typical typical2
     ##    <int> <chr>             <int>  <int>   <int>    <int>
    -## 1      1 A                     3      1       1        1
    -## 2      2 B                     1      2       2        2
    -## 3      3 C                     2      3       3        3
    -## 4      4 D                     5      5       4        4
    -## 5      5 E                     4      4       5        5
    +## 1 1 A 1 2 1 1 +## 2 2 B 2 1 2 2 +## 3 3 C 5 4 3 3 +## 4 4 D 3 5 4 4 +## 5 5 E 4 3 5 5

    Here is another example…

    @@ -417,29 +417,29 @@

    mutate()

    ## # A tibble: 5 × 6
     ##   `Number!` `Var with space` `2022` `2021` typical typical2
     ##       <dbl> <chr>             <int>  <int>   <int>    <int>
    -## 1         3 A                     3      1       1        1
    -## 2         4 B                     1      2       2        2
    -## 3         5 C                     2      3       3        3
    -## 4         6 D                     5      5       4        4
    -## 5         7 E                     4      4       5        5
    +## 1 3 A 1 2 1 1 +## 2 4 B 2 1 2 2 +## 3 5 C 5 4 3 3 +## 4 6 D 3 5 4 4 +## 5 7 E 4 3 5 5
    ex_data %>% mutate("Number!" = `Number!` + 2)
    ## # A tibble: 5 × 6
     ##   `Number!` `Var with space` `2022` `2021` typical typical2
     ##       <dbl> <chr>             <int>  <int>   <int>    <int>
    -## 1         3 A                     3      1       1        1
    -## 2         4 B                     1      2       2        2
    -## 3         5 C                     2      3       3        3
    -## 4         6 D                     5      5       4        4
    -## 5         7 E                     4      4       5        5
    +## 1 3 A 1 2 1 1 +## 2 4 B 2 1 2 2 +## 3 5 C 5 4 3 3 +## 4 6 D 3 5 4 4 +## 5 7 E 4 3 5 5
    ex_data %>% mutate(Typical = `Number!` + 2)
    ## # A tibble: 5 × 7
     ##   `Number!` `Var with space` `2022` `2021` typical typical2 Typical
     ##       <int> <chr>             <int>  <int>   <int>    <int>   <dbl>
    -## 1         1 A                     3      1       1        1       3
    -## 2         2 B                     1      2       2        2       4
    -## 3         3 C                     2      3       3        3       5
    -## 4         4 D                     5      5       4        4       6
    -## 5         5 E                     4      4       5        5       7
    +## 1 1 A 1 2 1 1 3 +## 2 2 B 2 1 2 2 4 +## 3 3 C 5 4 3 3 5 +## 4 4 D 3 5 4 4 6 +## 5 5 E 4 3 5 5 7

    stringr functions

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