NorthamJDDS8501-8

The purpose of this EDA is to use the American Bankruptcy dataset from Kaggle to create a k-means cluster model and evaluate the model performance.

Packages and libraries were installed and loaded prior to completion of further steps. The bestNormalize package was used for transformation of values due to the presence of negative values in the data set leading to problems during the scaling process. Therefore, the bestNormalize package was installed.

#Install bestNormalize which is required for transforming due to negative values
install.packages("bestNormalize", repos = "https://cloud.r-project.org")

## Installing package into 'C:/Users/benke/AppData/Local/R/win-library/4.5'
## (as 'lib' is unspecified)

## package 'bestNormalize' successfully unpacked and MD5 sums checked
## 
## The downloaded binary packages are in
##  C:\Users\benke\AppData\Local\Temp\RtmpUbIbNg\downloaded_packages

Libraries and packages needed for this project were loaded.

#Load all libraries needed
library(ggplot2)            # Load ggplot2 library
library(scales)             # Load scales library
library(moments)
library(dplyr)

## 
## Attaching package: 'dplyr'

## The following objects are masked from 'package:stats':
## 
##     filter, lag

## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union

library(readr)

## Warning: package 'readr' was built under R version 4.5.1

## 
## Attaching package: 'readr'

## The following object is masked from 'package:scales':
## 
##     col_factor

library(kableExtra)

## Warning: package 'kableExtra' was built under R version 4.5.1

## 
## Attaching package: 'kableExtra'

## The following object is masked from 'package:dplyr':
## 
##     group_rows

library(tidyr)
library(plyr)

## Warning: package 'plyr' was built under R version 4.5.1

## ------------------------------------------------------------------------------

## You have loaded plyr after dplyr - this is likely to cause problems.
## If you need functions from both plyr and dplyr, please load plyr first, then dplyr:
## library(plyr); library(dplyr)

## ------------------------------------------------------------------------------

## 
## Attaching package: 'plyr'

## The following objects are masked from 'package:dplyr':
## 
##     arrange, count, desc, failwith, id, mutate, rename, summarise,
##     summarize

library(Amelia)

## Warning: package 'Amelia' was built under R version 4.5.1

## Loading required package: Rcpp

## ## 
## ## Amelia II: Multiple Imputation
## ## (Version 1.8.3, built: 2024-11-07)
## ## Copyright (C) 2005-2025 James Honaker, Gary King and Matthew Blackwell
## ## Refer to http://gking.harvard.edu/amelia/ for more information
## ##

library(rsample)

## 
## Attaching package: 'rsample'

## The following object is masked from 'package:Rcpp':
## 
##     populate

library(bestNormalize)

## Warning: package 'bestNormalize' was built under R version 4.5.1

library(stats)
library(yardstick)

## 
## Attaching package: 'yardstick'

## The following object is masked from 'package:readr':
## 
##     spec

#Load any additional libraries needed
require(Amelia)
require(car)

## Loading required package: car

## Warning: package 'car' was built under R version 4.5.1

## Loading required package: carData

## Warning: package 'carData' was built under R version 4.5.1

## 
## Attaching package: 'car'

## The following object is masked from 'package:dplyr':
## 
##     recode

require(caret)

## Loading required package: caret

## Warning: package 'caret' was built under R version 4.5.1

## Loading required package: lattice

## 
## Attaching package: 'caret'

## The following objects are masked from 'package:yardstick':
## 
##     precision, recall, sensitivity, specificity

require(cluster)

## Loading required package: cluster

require(corrplot)

## Loading required package: corrplot

## Warning: package 'corrplot' was built under R version 4.5.1

## corrplot 0.95 loaded

require(clue)

## Loading required package: clue

## Warning: package 'clue' was built under R version 4.5.1

require(DescTools)

## Loading required package: DescTools

## Warning: package 'DescTools' was built under R version 4.5.1

## 
## Attaching package: 'DescTools'

## The following objects are masked from 'package:caret':
## 
##     MAE, RMSE

## The following object is masked from 'package:car':
## 
##     Recode

require(factoextra)

## Loading required package: factoextra

## Warning: package 'factoextra' was built under R version 4.5.1

## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa

require(fastDummies)

## Loading required package: fastDummies

## Warning: package 'fastDummies' was built under R version 4.5.1

require(ggplot2)
require(ggcorrplot)

## Loading required package: ggcorrplot

## Warning: package 'ggcorrplot' was built under R version 4.5.1

require(kableExtra)
require(magrittr)

## Loading required package: magrittr

## 
## Attaching package: 'magrittr'

## The following object is masked from 'package:tidyr':
## 
##     extract

require(psych)

## Loading required package: psych

## Warning: package 'psych' was built under R version 4.5.1

## 
## Attaching package: 'psych'

## The following objects are masked from 'package:DescTools':
## 
##     AUC, ICC, SD

## The following object is masked from 'package:car':
## 
##     logit

## The following objects are masked from 'package:scales':
## 
##     alpha, rescale

## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha

require(qqplotr)

## Loading required package: qqplotr

## Warning: package 'qqplotr' was built under R version 4.5.1

## 
## Attaching package: 'qqplotr'

## The following objects are masked from 'package:ggplot2':
## 
##     stat_qq_line, StatQqLine

require(ResourceSelection)

## Loading required package: ResourceSelection

## Warning: package 'ResourceSelection' was built under R version 4.5.1

## ResourceSelection 0.3-6   2023-06-27

require(Rmisc)

## Loading required package: Rmisc

## Warning: package 'Rmisc' was built under R version 4.5.1

require(stargazer)

## Loading required package: stargazer

## 
## Please cite as:

##  Hlavac, Marek (2022). stargazer: Well-Formatted Regression and Summary Statistics Tables.

##  R package version 5.2.3. https://CRAN.R-project.org/package=stargazer

require(yardstick)
require(stringr)

## Loading required package: stringr

require(tidyverse)

## Loading required package: tidyverse

## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ forcats   1.0.0     ✔ purrr     1.0.4
## ✔ lubridate 1.9.4     ✔ tibble    3.2.1
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ psych::%+%()             masks ggplot2::%+%()
## ✖ psych::alpha()           masks scales::alpha(), ggplot2::alpha()
## ✖ plyr::arrange()          masks dplyr::arrange()
## ✖ readr::col_factor()      masks scales::col_factor()
## ✖ purrr::compact()         masks plyr::compact()
## ✖ plyr::count()            masks dplyr::count()
## ✖ plyr::desc()             masks dplyr::desc()
## ✖ purrr::discard()         masks scales::discard()
## ✖ magrittr::extract()      masks tidyr::extract()
## ✖ plyr::failwith()         masks dplyr::failwith()
## ✖ dplyr::filter()          masks stats::filter()
## ✖ kableExtra::group_rows() masks dplyr::group_rows()
## ✖ plyr::id()               masks dplyr::id()
## ✖ dplyr::lag()             masks stats::lag()
## ✖ purrr::lift()            masks caret::lift()
## ✖ plyr::mutate()           masks dplyr::mutate()
## ✖ car::recode()            masks dplyr::recode()
## ✖ plyr::rename()           masks dplyr::rename()
## ✖ purrr::set_names()       masks magrittr::set_names()
## ✖ purrr::some()            masks car::some()
## ✖ yardstick::spec()        masks readr::spec()
## ✖ qqplotr::stat_qq_line()  masks ggplot2::stat_qq_line()
## ✖ plyr::summarise()        masks dplyr::summarise()
## ✖ plyr::summarize()        masks dplyr::summarize()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors

require(reshape2)

## Loading required package: reshape2

## Warning: package 'reshape2' was built under R version 4.5.1

## 
## Attaching package: 'reshape2'
## 
## The following object is masked from 'package:tidyr':
## 
##     smiths

The working directory was then set to read the csv file.

#Step 1 of setting working directory
getwd()

## [1] "C:/Users/benke/OneDrive/NU/DDS 8501/New folder"

#Step 2 of setting working directory
setwd("C:/Users/benke/OneDrive/NU/DDS 8501/New Folder")

Once the csv file was read, several steps of the EDA were dedicated to inspecting the data values for missing values, determining the types of values, and understanding the characteristics of the dataset.

#Read data set for this project
mybankdf <- read_csv("american_bankruptcy.csv")

## Rows: 78682 Columns: 21
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr  (2): company_name, status_label
## dbl (19): year, X1, X2, X3, X4, X5, X6, X7, X8, X9, X10, X11, X12, X13, X14,...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.

Characteristics of the Dataset

The dataset was provided by Kaggle as open source for research. The dataset is comprised of financial data values for 8262 companies from the time period of 1999 to 2018 listed on the New York Stock Exchange and NASDAQ. The dataset consists of 78,682 observations across 22 variables. Variables of company_name and status_label are character variables which are categorical. Year is listed as numeric. The remaining variables are financial variables. Financial variables are continuous, numeric values. A description of financial variables are listed below:

X1: Current assets(all assets to be sold or used during standard business operations over the upcoming year)

X2: Costs of goods sold (total cost paid by the company related to product sales)

X3: Depreciation and amortization (depreciation: loss of value of tangible, fixed asset over time, amortization: loss of value of intangible asset over time)

X4: Earnings before interest, taxes, depreciation, and amortization

X5: Inventory

X6: Net income (overall profitability after expenses and costs have been deducted from total revenue)

X7: Total receivables (balance of money due from good of services provided but not yet paid for)

X8: Market value (market capitalization)

X9: Net sales (sum of gross sales minus returns, allowances, and discounts)

X10: Total assets

X11: Total long term debt (loans and liabilities not due within 1 year)

X12: Earnings before interest and taxes

X13: Gross profit (profit after subtracting costs)

X14: Total Current Liabilities (sum of accounts payable, accrued liabilities, and taxes payable at the end of the year

X15: Retained earnings(profit after paying all direct costs)

X16: Total revenue(amount of income before subtracting expenses)

X17: Total liabilitites (combined debts and obligations owed to outside parties)

X18: Total operating expenses (expenses incurred through normal business operations)

Functions provided in coursework were loaded in case of need.

#Add functions provided in coursework
mydrop=function(x) {
  x[x==""]=NA
  x=droplevels(x)
  return(x)}
myfac=function(x) {
  x=as.factor(x)
  print(noquote('Levels:'))
  print(addmargins(table(x)))
  return(x)}
myglimpse=function(x) {
  a=sum(is.na(x))
  b=addmargins(table(x))
  temp=c(a,b)
  names(temp)=c('Missing', unique(names(b)))
  return(temp)}
myprint=function(x,y="") x%>%kbl(caption=y)%>%kable_classic(html_font="Cambria")
mymiss=function(x) sum(is.na(x))/length(x)
mytable=function(x) addmargins(table(x))
mycor=function(d){
  mycorr=cor(d[, 1:ncol(d)]); p.mat=ggcorrplot::cor_pmat(d[,1:ncol(d)])
  myplot=ggcorrplot(mycorr, hc.order=TRUE,type="lower",
                    colors=c("red", "white","green"),tl.cex = 8, 
                    tl.col = "black", lab=TRUE, lab_size=2, p.mat=p.mat,
                    insig="pch", pch=4)
  print(myplot)}

The types of values were inspected to determine if further pre-processing with reclassification techniques would be necessary.

#Review data types
str(mybankdf)

## spc_tbl_ [78,682 × 21] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
##  $ company_name: chr [1:78682] "C_1" "C_1" "C_1" "C_1" ...
##  $ status_label: chr [1:78682] "alive" "alive" "alive" "alive" ...
##  $ year        : num [1:78682] 1999 2000 2001 2002 2003 ...
##  $ X1          : num [1:78682] 511 486 437 396 432 ...
##  $ X2          : num [1:78682] 833 714 526 497 523 ...
##  $ X3          : num [1:78682] 18.4 18.6 22.5 27.2 26.7 ...
##  $ X4          : num [1:78682] 89 64.4 27.2 30.7 47.5 ...
##  $ X5          : num [1:78682] 336 321 287 260 247 ...
##  $ X6          : num [1:78682] 35.2 18.5 -58.9 -12.4 3.5 ...
##  $ X7          : num [1:78682] 128.3 115.2 77.5 66.3 104.7 ...
##  $ X8          : num [1:78682] 373 377 365 143 309 ...
##  $ X9          : num [1:78682] 1024 874 639 606 652 ...
##  $ X10         : num [1:78682] 741 702 710 687 709 ...
##  $ X11         : num [1:78682] 180 180 218 165 249 ...
##  $ X12         : num [1:78682] 70.66 45.79 4.71 3.57 20.81 ...
##  $ X13         : num [1:78682] 191 160 112 110 129 ...
##  $ X14         : num [1:78682] 164 125 150 204 131 ...
##  $ X15         : num [1:78682] 201 204 140 124 132 ...
##  $ X16         : num [1:78682] 1024 874 639 606 652 ...
##  $ X17         : num [1:78682] 401 362 400 392 408 ...
##  $ X18         : num [1:78682] 935 810 612 576 604 ...
##  - attr(*, "spec")=
##   .. cols(
##   ..   company_name = col_character(),
##   ..   status_label = col_character(),
##   ..   year = col_double(),
##   ..   X1 = col_double(),
##   ..   X2 = col_double(),
##   ..   X3 = col_double(),
##   ..   X4 = col_double(),
##   ..   X5 = col_double(),
##   ..   X6 = col_double(),
##   ..   X7 = col_double(),
##   ..   X8 = col_double(),
##   ..   X9 = col_double(),
##   ..   X10 = col_double(),
##   ..   X11 = col_double(),
##   ..   X12 = col_double(),
##   ..   X13 = col_double(),
##   ..   X14 = col_double(),
##   ..   X15 = col_double(),
##   ..   X16 = col_double(),
##   ..   X17 = col_double(),
##   ..   X18 = col_double()
##   .. )
##  - attr(*, "problems")=<externalptr>

The data set was inspected further using glimpse.

#Further inspect data types
glimpse(mybankdf)

## Rows: 78,682
## Columns: 21
## $ company_name <chr> "C_1", "C_1", "C_1", "C_1", "C_1", "C_1", "C_1", "C_1", "…
## $ status_label <chr> "alive", "alive", "alive", "alive", "alive", "alive", "al…
## $ year         <dbl> 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 200…
## $ X1           <dbl> 511.267, 485.856, 436.656, 396.412, 432.204, 474.542, 624…
## $ X2           <dbl> 833.107, 713.811, 526.477, 496.747, 523.302, 598.172, 704…
## $ X3           <dbl> 18.373, 18.577, 22.496, 27.172, 26.680, 27.950, 29.222, 3…
## $ X4           <dbl> 89.031, 64.367, 27.207, 30.745, 47.491, 61.774, 91.877, 1…
## $ X5           <dbl> 336.018, 320.590, 286.588, 259.954, 247.245, 255.477, 323…
## $ X6           <dbl> 35.163, 18.531, -58.939, -12.410, 3.504, 15.453, 35.163, …
## $ X7           <dbl> 128.348, 115.187, 77.528, 66.322, 104.661, 127.121, 136.2…
## $ X8           <dbl> 372.7519, 377.1180, 364.5928, 143.3295, 308.9071, 522.679…
## $ X9           <dbl> 1024.333, 874.255, 638.721, 606.337, 651.958, 747.848, 89…
## $ X10          <dbl> 740.998, 701.854, 710.199, 686.621, 709.292, 732.230, 978…
## $ X11          <dbl> 180.447, 179.987, 217.699, 164.658, 248.666, 227.159, 318…
## $ X12          <dbl> 70.658, 45.790, 4.711, 3.573, 20.811, 33.824, 62.655, 86.…
## $ X13          <dbl> 191.226, 160.444, 112.244, 109.590, 128.656, 149.676, 193…
## $ X14          <dbl> 163.816, 125.392, 150.464, 203.575, 131.261, 160.025, 187…
## $ X15          <dbl> 201.026, 204.065, 139.603, 124.106, 131.884, 142.450, 183…
## $ X16          <dbl> 1024.333, 874.255, 638.721, 606.337, 651.958, 747.848, 89…
## $ X17          <dbl> 401.483, 361.642, 399.964, 391.633, 407.608, 417.486, 556…
## $ X18          <dbl> 935.302, 809.888, 611.514, 575.592, 604.467, 686.074, 805…

The dataset was further inspected using head().

#Continue to inspect and review data to plan data visualization strategies
head(mybankdf)

## # A tibble: 6 × 21
##   company_name status_label  year    X1    X2    X3    X4    X5     X6    X7
##   <chr>        <chr>        <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>  <dbl> <dbl>
## 1 C_1          alive         1999  511.  833.  18.4  89.0  336.  35.2  128. 
## 2 C_1          alive         2000  486.  714.  18.6  64.4  321.  18.5  115. 
## 3 C_1          alive         2001  437.  526.  22.5  27.2  287. -58.9   77.5
## 4 C_1          alive         2002  396.  497.  27.2  30.7  260. -12.4   66.3
## 5 C_1          alive         2003  432.  523.  26.7  47.5  247.   3.50 105. 
## 6 C_1          alive         2004  475.  598.  28.0  61.8  255.  15.5  127. 
## # ℹ 11 more variables: X8 <dbl>, X9 <dbl>, X10 <dbl>, X11 <dbl>, X12 <dbl>,
## #   X13 <dbl>, X14 <dbl>, X15 <dbl>, X16 <dbl>, X17 <dbl>, X18 <dbl>

Variables with character class are redefined as factor variables.

#Change character class to factors
factor_columns <- c("company_name","status_label")
mybankdf[factor_columns] <- lapply(mybankdf[factor_columns], function(col) as.factor(as.character(col)))

The dataset was inspected for missing values by checking for number and percent of NAs.

#Check for missing values
cols_with_nas <- sum(colSums(is.na(mybankdf)) > 0)
Percent_col_NA <- percent(cols_with_nas / length(mybankdf))
cols_with_nas

## [1] 0

Percent_col_NA

## [1] "0%"

To ensure no missng values were present, a missingness map was created using the Amelia-II package.

#Check further for missing values
mybankmissmap <- missmap(mybankdf)

## Warning: Unknown or uninitialised column: `arguments`.
## Unknown or uninitialised column: `arguments`.

## Warning: Unknown or uninitialised column: `imputations`.

mybankmissmap

## NULL

Summary statistics were inspected to understand the central tendency of each of the variables.

#View summary statistics
summary(mybankdf)

##   company_name   status_label        year            X1           
##  C_10   :   20   alive :73462   Min.   :1999   Min.   :    -7.76  
##  C_1000 :   20   failed: 5220   1st Qu.:2002   1st Qu.:    18.92  
##  C_1001 :   20                  Median :2007   Median :   100.45  
##  C_1002 :   20                  Mean   :2008   Mean   :   880.36  
##  C_1003 :   20                  3rd Qu.:2012   3rd Qu.:   431.53  
##  C_1009 :   20                  Max.   :2018   Max.   :169662.00  
##  (Other):78562                                                    
##        X2                  X3                  X4            
##  Min.   :  -366.64   Min.   :    0.000   Min.   :-21913.000  
##  1st Qu.:    17.04   1st Qu.:    1.192   1st Qu.:    -0.811  
##  Median :   103.66   Median :    7.929   Median :    15.034  
##  Mean   :  1594.53   Mean   :  121.234   Mean   :   376.759  
##  3rd Qu.:   634.55   3rd Qu.:   47.972   3rd Qu.:   139.655  
##  Max.   :374623.00   Max.   :28430.000   Max.   : 81730.000  
##                                                              
##        X5                  X6                   X7           
##  Min.   :    0.000   Min.   :-98696.000   Min.   :   -0.006  
##  1st Qu.:    0.000   1st Qu.:    -7.416   1st Qu.:    3.281  
##  Median :    7.023   Median :     1.616   Median :   22.820  
##  Mean   :  201.606   Mean   :   129.382   Mean   :  286.833  
##  3rd Qu.:   74.747   3rd Qu.:    40.144   3rd Qu.:  131.580  
##  Max.   :62567.000   Max.   :104821.000   Max.   :65812.000  
##                                                              
##        X8                  X9                 X10           
##  Min.   :0.000e+00   Min.   : -1965.00   Min.   :     0.00  
##  1st Qu.:3.498e+01   1st Qu.:    27.55   1st Qu.:    37.36  
##  Median :2.275e+02   Median :   186.60   Median :   213.20  
##  Mean   :3.414e+03   Mean   :  2364.02   Mean   :  2867.11  
##  3rd Qu.:1.245e+03   3rd Qu.:  1046.40   3rd Qu.:  1171.36  
##  Max.   :1.073e+06   Max.   :511729.00   Max.   :531864.00  
##                                                             
##       X11                  X12                  X13            
##  Min.   :    -0.023   Min.   :-25913.000   Min.   :-21536.000  
##  1st Qu.:     0.000   1st Qu.:    -2.787   1st Qu.:     8.521  
##  Median :     7.593   Median :     6.518   Median :    63.581  
##  Mean   :   722.484   Mean   :   255.525   Mean   :   769.491  
##  3rd Qu.:   248.761   3rd Qu.:    87.599   3rd Qu.:   344.074  
##  Max.   :166250.000   Max.   : 71230.000   Max.   :137106.000  
##                                                                
##       X14                 X15                  X16           
##  Min.   :1.000e-03   Min.   :-102362.00   Min.   : -1965.00  
##  1st Qu.:8.889e+00   1st Qu.:    -68.28   1st Qu.:    27.55  
##  Median :4.333e+01   Median :     -1.13   Median :   186.60  
##  Mean   :6.101e+02   Mean   :    532.47   Mean   :  2364.02  
##  3rd Qu.:2.228e+02   3rd Qu.:    146.07   3rd Qu.:  1046.40  
##  Max.   :1.169e+05   Max.   : 402089.00   Max.   :511729.00  
##                                                              
##       X17                 X18           
##  Min.   :     0.00   Min.   :  -317.20  
##  1st Qu.:    13.49   1st Qu.:    32.87  
##  Median :    81.99   Median :   168.91  
##  Mean   :  1773.56   Mean   :  1987.26  
##  3rd Qu.:   629.98   3rd Qu.:   875.52  
##  Max.   :337980.00   Max.   :481580.00  
## 

#Review data set
head(mybankdf)

## # A tibble: 6 × 21
##   company_name status_label  year    X1    X2    X3    X4    X5     X6    X7
##   <fct>        <fct>        <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>  <dbl> <dbl>
## 1 C_1          alive         1999  511.  833.  18.4  89.0  336.  35.2  128. 
## 2 C_1          alive         2000  486.  714.  18.6  64.4  321.  18.5  115. 
## 3 C_1          alive         2001  437.  526.  22.5  27.2  287. -58.9   77.5
## 4 C_1          alive         2002  396.  497.  27.2  30.7  260. -12.4   66.3
## 5 C_1          alive         2003  432.  523.  26.7  47.5  247.   3.50 105. 
## 6 C_1          alive         2004  475.  598.  28.0  61.8  255.  15.5  127. 
## # ℹ 11 more variables: X8 <dbl>, X9 <dbl>, X10 <dbl>, X11 <dbl>, X12 <dbl>,
## #   X13 <dbl>, X14 <dbl>, X15 <dbl>, X16 <dbl>, X17 <dbl>, X18 <dbl>

Data visualization techniques were used to identify group counts between companies thriving and those in bankruptcy. The bar plot shows unbalanced groups between the thriving (alive) companies and those companies in bankruptcy (failed).

#Create function for data visualization to inspect group distribution
col = "status_label"
if (is.factor(mybankdf[[col]])) {
  # Bar graph for factors
  ggplot(mybankdf, aes(x = .data[[col]], fill = .data[[col]])) +
    geom_bar() +
    labs(title = paste("Bar Graph for Company Status", col), x = col, y = "Count") +
    theme_minimal() +
    theme(legend.position = "right")
  
}  

The numeric values were separated to a dataframe with only numeric values for statistical analysis.

# Reveiw numeric values to determine data visualization strategies
nummybankdf <- mybankdf[c(4:21)]
head(nummybankdf)

## # A tibble: 6 × 18
##      X1    X2    X3    X4    X5     X6    X7    X8    X9   X10   X11   X12   X13
##   <dbl> <dbl> <dbl> <dbl> <dbl>  <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1  511.  833.  18.4  89.0  336.  35.2  128.   373. 1024.  741.  180. 70.7   191.
## 2  486.  714.  18.6  64.4  321.  18.5  115.   377.  874.  702.  180. 45.8   160.
## 3  437.  526.  22.5  27.2  287. -58.9   77.5  365.  639.  710.  218.  4.71  112.
## 4  396.  497.  27.2  30.7  260. -12.4   66.3  143.  606.  687.  165.  3.57  110.
## 5  432.  523.  26.7  47.5  247.   3.50 105.   309.  652.  709.  249. 20.8   129.
## 6  475.  598.  28.0  61.8  255.  15.5  127.   523.  748.  732.  227. 33.8   150.
## # ℹ 5 more variables: X14 <dbl>, X15 <dbl>, X16 <dbl>, X17 <dbl>, X18 <dbl>

Descriptive statistics were calculated for numeric values. First, a function was used to compute the statistics to gain an understanding of the shape of the data in the variables.

# Compute descriptive statistics on numeric values
compute_stats <- function(column, name) {
  if (is.numeric(column) || is.integer(column)) {
    data.frame(
      Variable = name,
      Mean = round(mean(column, na.rm = TRUE), 2),
      Median = round(median(column, na.rm = TRUE), 2),
      St.Deviation = round(sd(column, na.rm = TRUE), 2),
      Variance = round(var(column, na.rm = TRUE), 2),
      Range = round(diff(range(column, na.rm = TRUE)), 2),
      IQR = round(IQR(column, na.rm = TRUE), 2),
      Skewness = round(skewness(column, na.rm = TRUE), 2),
      Kurtosis = round(kurtosis(column, na.rm = TRUE), 2),
      stringsAsFactors = FALSE
    )
  } else {
    NULL
  }
}

descriptive_stats <- do.call(
  rbind,
  lapply(names(nummybankdf), function(col) compute_stats(nummybankdf[[col]], col))
)

descriptive_stats

##    Variable    Mean Median St.Deviation    Variance      Range     IQR Skewness
## 1        X1  880.36 100.45      3928.56  15433621.3  169669.76  412.60    14.84
## 2        X2 1594.53 103.66      8930.48  79753556.3  374989.64  617.51    20.05
## 3        X3  121.23   7.93       652.38    425595.5   28430.00   46.78    17.86
## 4        X4  376.76  15.03      2012.02   4048237.1  103643.00  140.47    16.40
## 5        X5  201.61   7.02      1060.77   1125224.7   62567.00   74.75    22.57
## 6        X6  129.38   1.62      1265.53   1601571.3  203517.00   47.56    11.87
## 7        X7  286.83  22.82      1335.98   1784838.7   65812.01  128.30    15.84
## 8        X8 3414.35 227.51     18414.10 339079213.1 1073390.54 1209.91    18.19
## 9        X9 2364.02 186.60     11950.07 142804145.3  513694.00 1018.85    18.99
## 10      X10 2867.11 213.20     12917.94 166873288.1  531864.00 1134.00    13.56
## 11      X11  722.48   7.59      3242.17  10511672.4  166250.02  248.76    14.85
## 12      X12  255.53   6.52      1494.64   2233959.3   97143.00   90.39    17.97
## 13      X13  769.49  63.58      3774.70  14248383.6  158642.00  335.55    15.30
## 14      X14  610.07  43.33      2938.39   8634120.8  116866.00  213.93    14.22
## 15      X15  532.47  -1.13      6369.16  40566192.0  504451.00  214.35    29.61
## 16      X16 2364.02 186.60     11950.07 142804145.3  513694.00 1018.85    18.99
## 17      X17 1773.56  81.99      8053.68  64861840.5  337980.00  616.49    13.77
## 18      X18 1987.26 168.91     10419.63 108568669.3  481897.20  842.65    20.38
##    Kurtosis
## 1    340.47
## 2    580.31
## 3    448.41
## 4    402.82
## 5    817.46
## 6   1499.23
## 7    403.33
## 8    543.98
## 9    549.02
## 10   275.65
## 11   390.43
## 12   531.48
## 13   338.12
## 14   296.58
## 15  1547.05
## 16   549.02
## 17   299.42
## 18   634.42

descriptive_stats %>%
  kbl(caption = " Table 1. Descriptive Statistics") %>%
  kable_classic()

Table 1. Descriptive Statistics

Variable	Mean	Median	St.Deviation	Variance	Range	IQR	Skewness	Kurtosis
X1	880.36	100.45	3928.56	15433621.3	169669.76	412.60	14.84	340.47
X2	1594.53	103.66	8930.48	79753556.3	374989.64	617.51	20.05	580.31
X3	121.23	7.93	652.38	425595.5	28430.00	46.78	17.86	448.41
X4	376.76	15.03	2012.02	4048237.1	103643.00	140.47	16.40	402.82
X5	201.61	7.02	1060.77	1125224.7	62567.00	74.75	22.57	817.46
X6	129.38	1.62	1265.53	1601571.3	203517.00	47.56	11.87	1499.23
X7	286.83	22.82	1335.98	1784838.7	65812.01	128.30	15.84	403.33
X8	3414.35	227.51	18414.10	339079213.1	1073390.54	1209.91	18.19	543.98
X9	2364.02	186.60	11950.07	142804145.3	513694.00	1018.85	18.99	549.02
X10	2867.11	213.20	12917.94	166873288.1	531864.00	1134.00	13.56	275.65
X11	722.48	7.59	3242.17	10511672.4	166250.02	248.76	14.85	390.43
X12	255.53	6.52	1494.64	2233959.3	97143.00	90.39	17.97	531.48
X13	769.49	63.58	3774.70	14248383.6	158642.00	335.55	15.30	338.12
X14	610.07	43.33	2938.39	8634120.8	116866.00	213.93	14.22	296.58
X15	532.47	-1.13	6369.16	40566192.0	504451.00	214.35	29.61	1547.05
X16	2364.02	186.60	11950.07	142804145.3	513694.00	1018.85	18.99	549.02
X17	1773.56	81.99	8053.68	64861840.5	337980.00	616.49	13.77	299.42
X18	1987.26	168.91	10419.63	108568669.3	481897.20	842.65	20.38	634.42

A 4-plot of net income was created to visualize net income for both alive (no bankruptcy) and failed (bankruptcy) company groups. As can be seen by the 4-plot, the net income for failed companies is lower than the income for companies not in bankruptcy (alive).

#Create 4 plot of Net Income
mybankdf$X6=seq(1:nrow(mybankdf))
p1=ggplot(mybankdf, aes(x=X6,y=X18, group=status_label))+geom_line(aes(col=as.factor(status_label)))+ggtitle('Run: Net Income')
p3=ggplot(mybankdf, aes(x=lag(X6), y=X18, group=status_label))+geom_point(aes(col=as.factor(status_label)))+ggtitle('Lag: Net Income')
p2=ggplot(mybankdf, aes(x=X6))+geom_histogram(fill='turquoise',col='black', bin=20)+ggtitle('Histogram: Net Income')

## Warning in geom_histogram(fill = "turquoise", col = "black", bin = 20):
## Ignoring unknown parameters: `bin`

p4=ggplot(mybankdf, aes(sample=scale(X6),group=status_label))+stat_qq_point(aes(col=as.factor(status_label)))+
        ggtitle('Normal Probability Plot: Net Income')
multiplot(p1, p2, p3, p4, cols=2) 

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

## Warning: Removed 1 row containing missing values or values outside the scale range
## (`geom_point()`).

Box plots were created for net income by company status (alive or failed), with similar shape and variability for the two groups.

#Data visualization - Box plot of Net Income by Company Status
ggplot(mybankdf, aes(x = status_label, y = X6)) +
  geom_boxplot(fill = "salmon", color = "darkblue", width = .25, outlier.color = "turquoise", outlier.size = 2) +
  labs(
    title = "Box Plot for Net Income",
    x = "Company Status",
    y = "Net Income"
  ) +
  theme_minimal() +
  theme(
    axis.text.x = element_blank(),
    axis.ticks.x = element_blank(),
    plot.title = element_text(hjust = 0.5, size = 16, face = "bold"),
    axis.title.y = element_text(size = 14),
    axis.text.y = element_text(size = 12)
  )

Box plots were also created for assets, market value, total revenue, and total operating costs across the two groups of company status (alive and failed). Across all four box plots, higher values and higher variability was observed for the alive company group when compared to the failed company group. This is expected due to the lower count in the failed company group.

#Data visualization - Box plot of Assets by Company Status
ggplot(mybankdf, aes(x = status_label, y = X1)) +
  geom_boxplot(fill = "salmon", color = "darkblue", width = .25, outlier.color = "turquoise", outlier.size = 2) +
  labs(
    title = "Box Plot for Assets",
    x = "Company Status",
    y = "Assets"
  ) +
  theme_minimal() +
  theme(
    axis.text.x = element_blank(),
    axis.ticks.x = element_blank(),
    plot.title = element_text(hjust = 0.5, size = 16, face = "bold"),
    axis.title.y = element_text(size = 14),
    axis.text.y = element_text(size = 12)
  )

#Data visualization - Box plot of Market Value by Company Status
ggplot(mybankdf, aes(x = status_label, y = X8)) +
  geom_boxplot(fill = "salmon", color = "darkblue", width = .25, outlier.color = "turquoise", outlier.size = 2) +
  labs(
    title = "Box Plot for Market Value",
    x = "Company Status",
    y = "Market Value"
  ) +
  theme_minimal() +
  theme(
    axis.text.x = element_blank(),
    axis.ticks.x = element_blank(),
    plot.title = element_text(hjust = 0.5, size = 16, face = "bold"),
    axis.title.y = element_text(size = 14),
    axis.text.y = element_text(size = 12)
  )

#Data visualization - Box plot of Total Revenue by Company Status
ggplot(mybankdf, aes(x = status_label, y = X16)) +
  geom_boxplot(fill = "salmon", color = "darkblue", width = .25, outlier.color = "turquoise", outlier.size = 2) +
  labs(
    title = "Box Plot for Total Revenue",
    x = "Company Status",
    y = "Total Revenue"
  ) +
  theme_minimal() +
  theme(
    axis.text.x = element_blank(),
    axis.ticks.x = element_blank(),
    plot.title = element_text(hjust = 0.5, size = 16, face = "bold"),
    axis.title.y = element_text(size = 14),
    axis.text.y = element_text(size = 12)
  )

#Data visualization - Box plot of Total Operating Expenses by Company Status
ggplot(mybankdf, aes(x = status_label, y = X18)) +
  geom_boxplot(fill = "salmon", color = "darkblue", width = .25, outlier.color = "turquoise", outlier.size = 2) +
  labs(
    title = "Box Plot for Total Operating Expenses",
    x = "Company Status",
    y = "Total Operating Expenses"
  ) +
  theme_minimal() +
  theme(
    axis.text.x = element_blank(),
    axis.ticks.x = element_blank(),
    plot.title = element_text(hjust = 0.5, size = 16, face = "bold"),
    axis.title.y = element_text(size = 14),
    axis.text.y = element_text(size = 12)
  )

To further understand the distribution between the groups, scatter plots were created for net income by market value, assets, total revenue, and total operating costs. For assets, total revenue, and total operating costs, the peak values appeared with companies with a net income of 20,000. The scatter plot comparing net income with market value showed a different distribution, with the highest values near 0 and peaks at 20,000, 52,000 and 69,000. All scatter plots were skewed to the right indicating high variance and less values for companies with a net income above approximately 20,000.

# Scatterplot of Net Income by Market Value
ggplot(mybankdf, aes(x = X6, y=X8)) +
  geom_point(color = "blue", size = 3) +
  labs(title = "Net Income and Market Value", x = "Net Income", y = "Market Value") +
  theme_minimal()

# Scatterplot of Net Income by Assets
ggplot(mybankdf, aes(x = X6, y=X10)) +
  geom_point(color = "blue", size = 3) +
  labs(title = "Net Income and Assets", x = "Net Income", y = "Assets") +
  theme_minimal()

# Scatterplot of Net Income by Total Revenue
ggplot(mybankdf, aes(x = X6, y=X16)) +
  geom_point(color = "blue", size = 3) +
  labs(title = "Net Income and Total Revenue", x = "Net Income", y = "Total Revenue") +
  theme_minimal()

# Scatterplot of Net Income by Total Operating Expenses
ggplot(mybankdf, aes(x = X6, y=X18)) +
  geom_point(color = "blue", size = 3) +
  labs(title = "Net Income and Total Operating Expenses", x = "Net Income", y = "Total Operating Expenses") +
  theme_minimal()

To further understand the relationship between features, a correlation table was created to inspect correlations between variables. The highly correlated variables were the inspected to determine if highly correlated values could be collapsed to increase computational efficiency at the feature engineering state. Variables with correlations above 0.95 were inspected to determine if both variables were needed. Variables of X4 (earnings before interest, taxes, depreciation, and amortization) and X12 (earnings before interest and taxes) were identified as highly correlated (0.974) and related, as both contained values of earnings. Therefore in the feature engineering step, these two variables were collapsed into a single variable by taking the mean of the two variables, and the original columns were dropped to increase computational efficiency.

#View correlation of variables to plan for feature engineering
corr_nummybankdf <- cor(nummybankdf)
corr_nummybankdf

##            X1        X2        X3        X4        X5        X6        X7
## X1  1.0000000 0.6605643 0.6591726 0.8128724 0.6386976 0.6573663 0.8519450
## X2  0.6605643 1.0000000 0.6013276 0.6748797 0.7808456 0.5170788 0.6628626
## X3  0.6591726 0.6013276 1.0000000 0.8532219 0.4262295 0.5342971 0.6964737
## X4  0.8128724 0.6748797 0.8532219 1.0000000 0.5126672 0.7661484 0.7798197
## X5  0.6386976 0.7808456 0.4262295 0.5126672 1.0000000 0.3954363 0.5030186
## X6  0.6573663 0.5170788 0.5342971 0.7661484 0.3954363 1.0000000 0.5889431
## X7  0.8519450 0.6628626 0.6964737 0.7798197 0.5030186 0.5889431 1.0000000
## X8  0.8265677 0.5566104 0.6681598 0.8598955 0.4830736 0.7147065 0.6845494
## X9  0.7587123 0.9759628 0.7008237 0.7961239 0.7911353 0.6064440 0.7265209
## X10 0.8241718 0.6811383 0.9113301 0.9167281 0.5532025 0.6469467 0.8063877
## X11 0.6415225 0.4793744 0.7817534 0.7306416 0.4157404 0.4340783 0.6455989
## X12 0.8065396 0.6460278 0.7120931 0.9737445 0.5040908 0.7981471 0.7457645
## X13 0.8391404 0.7238551 0.7960214 0.9237106 0.6572152 0.6965535 0.7317902
## X14 0.9034933 0.7842132 0.7521061 0.8353424 0.7196301 0.6374409 0.8727338
## X15 0.5497771 0.5932227 0.5885628 0.6742875 0.4369934 0.6286533 0.5702502
## X16 0.7587123 0.9759628 0.7008237 0.7961239 0.7911353 0.6064440 0.7265209
## X17 0.7944792 0.6573862 0.8770514 0.8658363 0.5576785 0.5877074 0.8071360
## X18 0.7131873 0.9889939 0.6390044 0.7199597 0.8083420 0.5475760 0.6826500
##            X8        X9       X10       X11       X12       X13       X14
## X1  0.8265677 0.7587123 0.8241718 0.6415225 0.8065396 0.8391404 0.9034933
## X2  0.5566104 0.9759628 0.6811383 0.4793744 0.6460278 0.7238551 0.7842132
## X3  0.6681598 0.7008237 0.9113301 0.7817534 0.7120931 0.7960214 0.7521061
## X4  0.8598955 0.7961239 0.9167281 0.7306416 0.9737445 0.9237106 0.8353424
## X5  0.4830736 0.7911353 0.5532025 0.4157404 0.5040908 0.6572152 0.7196301
## X6  0.7147065 0.6064440 0.6469467 0.4340783 0.7981471 0.6965535 0.6374409
## X7  0.6845494 0.7265209 0.8063877 0.6455989 0.7457645 0.7317902 0.8727338
## X8  1.0000000 0.6854202 0.7892001 0.5765189 0.8659174 0.8530519 0.7628504
## X9  0.6854202 1.0000000 0.7849016 0.5815071 0.7658138 0.8568218 0.8588655
## X10 0.7892001 0.7849016 1.0000000 0.8565922 0.8362848 0.8733755 0.8858085
## X11 0.5765189 0.5815071 0.8565922 1.0000000 0.6423405 0.7068116 0.7205376
## X12 0.8659174 0.7658138 0.8362848 0.6423405 1.0000000 0.8960138 0.7962244
## X13 0.8530519 0.8568218 0.8733755 0.7068116 0.8960138 1.0000000 0.8636702
## X14 0.7628504 0.8588655 0.8858085 0.7205376 0.7962244 0.8636702 1.0000000
## X15 0.6297817 0.6356915 0.6318641 0.3177786 0.6508022 0.6089992 0.5857447
## X16 0.6854202 1.0000000 0.7849016 0.5815071 0.7658138 0.8568218 0.8588655
## X17 0.7125360 0.7542757 0.9674427 0.9216790 0.7827382 0.8326136 0.8971047
## X18 0.6200498 0.9931495 0.7231688 0.5258327 0.6902675 0.8043043 0.8237121
##           X15       X16       X17       X18
## X1  0.5497771 0.7587123 0.7944792 0.7131873
## X2  0.5932227 0.9759628 0.6573862 0.9889939
## X3  0.5885628 0.7008237 0.8770514 0.6390044
## X4  0.6742875 0.7961239 0.8658363 0.7199597
## X5  0.4369934 0.7911353 0.5576785 0.8083420
## X6  0.6286533 0.6064440 0.5877074 0.5475760
## X7  0.5702502 0.7265209 0.8071360 0.6826500
## X8  0.6297817 0.6854202 0.7125360 0.6200498
## X9  0.6356915 1.0000000 0.7542757 0.9931495
## X10 0.6318641 0.7849016 0.9674427 0.7231688
## X11 0.3177786 0.5815071 0.9216790 0.5258327
## X12 0.6508022 0.7658138 0.7827382 0.6902675
## X13 0.6089992 0.8568218 0.8326136 0.8043043
## X14 0.5857447 0.8588655 0.8971047 0.8237121
## X15 1.0000000 0.6356915 0.5308534 0.5988577
## X16 0.6356915 1.0000000 0.7542757 0.9931495
## X17 0.5308534 0.7542757 1.0000000 0.6978716
## X18 0.5988577 0.9931495 0.6978716 1.0000000

The data set was then split into a train and test data sets, with the set.seed used for replicatability.

# Split data set into training set and testing set
set.seed(1234)
mybankdf_split <- initial_split(mybankdf, prop = .80)

train_mybankdf <- training(mybankdf_split)
test_mybankdf <- testing(mybankdf_split)

Transformations were originally attempted with a log transformation; however, due to the negative values in some variables, the transformations were not useful. To normalize the values and manage the negative values simultaneously, the YeoJohnson tranformation was used with the bestNormalize package. A min_max scaling function was then created and values were scaled using min_max normalization scaling for all features to have values between 0 and 1.

# Ensure appropriate libraries are loaded
library(bestNormalize)
library(dplyr)
library(purrr)

# Rename train and test datasets
train_df <- train_mybankdf
test_df  <- test_mybankdf

# Identify numeric vs categorical columns (based on TRAIN)
num_cols <- names(which(sapply(train_df, is.numeric)))
cat_cols <- setdiff(names(train_df), num_cols)

# Fit Yeo–Johnson models on TRAIN numeric columns
#    (one transformer per numeric column)
yj_models <- map(train_df[num_cols], ~ yeojohnson(.x))

## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value
## Warning in optimize(yj_loglik, lower = lower, upper = upper, maximum = TRUE, :
## -Inf replaced by maximally negative value

## Warning in pchisq(P, n.classes - dfd - 1, lower.tail = FALSE): NaNs produced

# Transform TRAIN with fitted models
train_num_yj <- map2_dfc(yj_models, names(yj_models), ~ {
  out <- predict(.x)               # transform training with the fitted model
  tibble(!! .y := out)             # keep original column name
})

# Transform TEST using the *same* models/parameters
#    (this is the crucial part for consistency)
test_num_yj <- map_dfc(names(yj_models), ~ {
  colname <- .x
  model   <- yj_models[[colname]]
  out     <- predict(model, newdata = test_df[[colname]])
  tibble(!! colname := out)
})

# Prepare train and test datasets for scaling train_num_yj and test_num_yj (Yeo–Johnson):
train_mins <- vapply(train_num_yj, min, numeric(1), na.rm = TRUE)

## Warning in FUN(X[[i]], ...): no non-missing arguments to min; returning Inf

train_maxs <- vapply(train_num_yj, max, numeric(1), na.rm = TRUE)

## Warning in FUN(X[[i]], ...): no non-missing arguments to max; returning -Inf

safe_min_max <- function(x, mn, mx) {
  if (!is.finite(mn) || !is.finite(mx) || mx == mn) return(rep(0, length(x)))
  z <- (x - mn) / (mx - mn)
  pmin(pmax(z, 0), 1)  # clamp
}

train_num_scaled <- as.data.frame(Map(safe_min_max, train_num_yj, train_mins, train_maxs))
test_num_scaled  <- as.data.frame(Map(safe_min_max, test_num_yj,  train_mins, train_maxs))

# Recombine WITHOUT any mutate afterwards
train_out_scaled <- dplyr::bind_cols(train_num_scaled, train_df[cat_cols]) %>%
  dplyr::select(dplyr::all_of(names(train_df)))

test_out_scaled  <- dplyr::bind_cols(test_num_scaled,  test_df[cat_cols]) %>%
  dplyr::select(dplyr::all_of(names(test_df)))

The new scaled train data set was inspected to ensure appropriate scaling was completed.

#Inspect to ensure transformation and scaling have been applied as expected
head(train_out_scaled)

##   company_name status_label year        X1        X2         X3        X4
## 1       C_4351        alive    0 0.9424751 0.9322921 0.78096414 0.7717922
## 2       C_1254        alive    0 0.9172924 0.9127023 0.75646903 0.7718779
## 3       C_3379        alive    0 0.8183445 0.9034233 0.05585847 0.7649207
## 4       C_7351        alive    0 0.8591962 0.9074917 0.38362660 0.7649260
## 5       C_6420        alive    0 0.7929259 0.9040017 0.15516553 0.7648966
## 6       C_7396        alive    0 0.8417746 0.9030655 0.19557518 0.7641357
##          X5        X6        X7        X8        X9       X10         X11
## 1 0.8866190 0.6406004 0.8089633 0.6740869 0.8812637 0.7569596 0.834351075
## 2 0.6738659 0.3124525 0.7706200 0.6416549 0.8656750 0.6945201 0.846501687
## 3 0.4485375 0.5484156 0.1874124 0.1661158 0.8567552 0.2586799 0.071300117
## 4 0.0000000 0.9032863 0.5375908 0.4070450 0.8592872 0.4142520 0.003972904
## 5 0.1065455 0.8247363 0.1774358 0.1597238 0.8569111 0.2045312 0.047520249
## 6 0.3254599 0.9068323 0.2825957 0.4577980 0.8567355 0.3464305 0.456546301
##         X12       X13       X14       X15       X16       X17       X18
## 1 0.6873344 0.7993820 0.8417947 0.4344658 0.8812637 0.8032230 0.9263590
## 2 0.6882749 0.8026194 0.7705496 0.4424028 0.8656750 0.7824677 0.9099418
## 3 0.6817081 0.7921015 0.2695647 0.4356859 0.8567552 0.2381168 0.8975064
## 4 0.6815807 0.7936836 0.5059413 0.4344691 0.8592872 0.4629548 0.9027724
## 5 0.6816703 0.7920690 0.2758681 0.4356680 0.8569111 0.2428845 0.8980139
## 6 0.6810131 0.7921591 0.4237689 0.4349420 0.8567355 0.4172182 0.8981026

#Inspect test set as well
head(test_out_scaled)

##   company_name status_label year        X1        X2        X3        X4
## 1          C_1        alive    0 0.8859633 0.9088472 0.5471894 0.7659540
## 2          C_1        alive    0 0.8961008 0.9111779 0.6415353 0.7666978
## 3          C_1        alive    0 0.8971019 0.9109830 0.6737841 0.7669218
## 4          C_1        alive    0 0.8938971 0.9103744 0.6547404 0.7656777
## 5          C_1        alive    0 0.8936527 0.9105600 0.5720723 0.7660115
## 6          C_2        alive    0 0.9147122 0.9109481 0.6964213 0.7694148
##          X5          X6        X7        X8        X9       X10       X11
## 1 0.7304792 0.001061683 0.5688525 0.5434620 0.8598426 0.5391276 0.6626979
## 2 0.7711349 0.001656774 0.6197980 0.4766205 0.8615737 0.5935186 0.7342238
## 3 0.7748568 0.001876436 0.6123251 0.5260128 0.8615136 0.5936504 0.7223063
## 4 0.7671790 0.001983229 0.5901825 0.5321018 0.8608089 0.5655547 0.5702040
## 5 0.7648079 0.002293192 0.5787289 0.5602616 0.8610630 0.5660362 0.6338154
## 6 0.7562953 0.002492272 0.6856861 0.7250980 0.8632434 0.6380398 0.4066021
##         X12       X13       X14       X15       X16       X17       X18
## 1 0.6825761 0.7933372 0.5939366 0.4361635 0.8598426 0.5935964 0.9032991
## 2 0.6830770 0.7941776 0.6442356 0.4366249 0.8615737 0.6564536 0.9057360
## 3 0.6830791 0.7943506 0.6310959 0.4368654 0.8615136 0.6488802 0.9055708
## 4 0.6814798 0.7934679 0.6330690 0.4368419 0.8608089 0.6054576 0.9049257
## 5 0.6825695 0.7938464 0.6157443 0.4370202 0.8610630 0.5955742 0.9052003
## 6 0.6860893 0.7987601 0.7054848 0.4390500 0.8632434 0.6396690 0.9072868

Summary statistics were then viewed with the scaled data set to ensure no values were coerced to missing values. Feature engineering was then completed by creating a new variable of X19 (Expenses) by taking the mean of X4 and X12. The unnecessary columns of X4 and X12 were then dropped for computational efficiency. Feature engineering was completed for both the train and test data sets.

# View summary statistics of scaled training set
summary(train_out_scaled)

##   company_name   status_label        year         X1               X2        
##  C_132  :   20   alive :58739   Min.   :0   Min.   :0.0000   Min.   :0.0000  
##  C_176  :   20   failed: 4206   1st Qu.:0   1st Qu.:0.8155   1st Qu.:0.9035  
##  C_1894 :   20                  Median :0   Median :0.8483   Median :0.9049  
##  C_1966 :   20                  Mean   :0   Mean   :0.8471   Mean   :0.9070  
##  C_2149 :   20                  3rd Qu.:0   3rd Qu.:0.8776   3rd Qu.:0.9081  
##  C_246  :   20                  Max.   :0   Max.   :1.0000   Max.   :1.0000  
##  (Other):62825                                                               
##        X3               X4               X5                  X6        
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.0000000   Min.   :0.0000  
##  1st Qu.:0.1524   1st Qu.:0.7648   1st Qu.:0.0001916   1st Qu.:0.3750  
##  Median :0.3795   Median :0.7651   Median :0.3406849   Median :0.6124  
##  Mean   :0.3809   Mean   :0.7666   Mean   :0.3409721   Mean   :0.5857  
##  3rd Qu.:0.5890   3rd Qu.:0.7661   3rd Qu.:0.6004874   3rd Qu.:0.8165  
##  Max.   :1.0000   Max.   :1.0000   Max.   :1.0000000   Max.   :1.0000  
##                                                                        
##        X7               X8               X9              X10        
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.1803   1st Qu.:0.2825   1st Qu.:0.8568   1st Qu.:0.2847  
##  Median :0.3712   Median :0.4210   Median :0.8576   Median :0.4167  
##  Mean   :0.3641   Mean   :0.4152   Mean   :0.8596   Mean   :0.4148  
##  3rd Qu.:0.5387   3rd Qu.:0.5440   3rd Qu.:0.8598   3rd Qu.:0.5453  
##  Max.   :1.0000   Max.   :1.0000   Max.   :1.0000   Max.   :1.0000  
##                                                                     
##       X11                X12              X13              X14        
##  Min.   :0.000000   Min.   :0.0000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.003973   1st Qu.:0.6816   1st Qu.:0.7921   1st Qu.:0.2780  
##  Median :0.318786   Median :0.6817   Median :0.7925   Median :0.4341  
##  Mean   :0.351753   Mean   :0.6831   Mean   :0.7943   Mean   :0.4318  
##  3rd Qu.:0.660530   3rd Qu.:0.6826   3rd Qu.:0.7939   3rd Qu.:0.5815  
##  Max.   :1.000000   Max.   :1.0000   Max.   :1.0000   Max.   :1.0000  
##                                                                       
##       X15              X16              X17              X18        
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.4355   1st Qu.:0.8568   1st Qu.:0.2771   1st Qu.:0.8978  
##  Median :0.4357   Median :0.8576   Median :0.4361   Median :0.8995  
##  Mean   :0.4361   Mean   :0.8596   Mean   :0.4387   Mean   :0.9017  
##  3rd Qu.:0.4360   3rd Qu.:0.8598   3rd Qu.:0.6000   3rd Qu.:0.9030  
##  Max.   :1.0000   Max.   :1.0000   Max.   :1.0000   Max.   :1.0000  
## 

# Complete feature engineering by combining and taking the mean of the two variables related to expenses to add X19
fe_train_out_scaled <- train_out_scaled %>%
  mutate(X19 = (train_out_scaled$X4 + train_out_scaled$X12) / 2)
head(fe_train_out_scaled)

##   company_name status_label year        X1        X2         X3        X4
## 1       C_4351        alive    0 0.9424751 0.9322921 0.78096414 0.7717922
## 2       C_1254        alive    0 0.9172924 0.9127023 0.75646903 0.7718779
## 3       C_3379        alive    0 0.8183445 0.9034233 0.05585847 0.7649207
## 4       C_7351        alive    0 0.8591962 0.9074917 0.38362660 0.7649260
## 5       C_6420        alive    0 0.7929259 0.9040017 0.15516553 0.7648966
## 6       C_7396        alive    0 0.8417746 0.9030655 0.19557518 0.7641357
##          X5        X6        X7        X8        X9       X10         X11
## 1 0.8866190 0.6406004 0.8089633 0.6740869 0.8812637 0.7569596 0.834351075
## 2 0.6738659 0.3124525 0.7706200 0.6416549 0.8656750 0.6945201 0.846501687
## 3 0.4485375 0.5484156 0.1874124 0.1661158 0.8567552 0.2586799 0.071300117
## 4 0.0000000 0.9032863 0.5375908 0.4070450 0.8592872 0.4142520 0.003972904
## 5 0.1065455 0.8247363 0.1774358 0.1597238 0.8569111 0.2045312 0.047520249
## 6 0.3254599 0.9068323 0.2825957 0.4577980 0.8567355 0.3464305 0.456546301
##         X12       X13       X14       X15       X16       X17       X18
## 1 0.6873344 0.7993820 0.8417947 0.4344658 0.8812637 0.8032230 0.9263590
## 2 0.6882749 0.8026194 0.7705496 0.4424028 0.8656750 0.7824677 0.9099418
## 3 0.6817081 0.7921015 0.2695647 0.4356859 0.8567552 0.2381168 0.8975064
## 4 0.6815807 0.7936836 0.5059413 0.4344691 0.8592872 0.4629548 0.9027724
## 5 0.6816703 0.7920690 0.2758681 0.4356680 0.8569111 0.2428845 0.8980139
## 6 0.6810131 0.7921591 0.4237689 0.4349420 0.8567355 0.4172182 0.8981026
##         X19
## 1 0.7295633
## 2 0.7300764
## 3 0.7233144
## 4 0.7232534
## 5 0.7232835
## 6 0.7225744

#Drop unnecessary variables of X4 and X12 due to new mean variable
fe_train_out_scaled <- fe_train_out_scaled %>%
  select(-c(7,15))
head(fe_train_out_scaled)

##   company_name status_label year        X1        X2         X3        X5
## 1       C_4351        alive    0 0.9424751 0.9322921 0.78096414 0.8866190
## 2       C_1254        alive    0 0.9172924 0.9127023 0.75646903 0.6738659
## 3       C_3379        alive    0 0.8183445 0.9034233 0.05585847 0.4485375
## 4       C_7351        alive    0 0.8591962 0.9074917 0.38362660 0.0000000
## 5       C_6420        alive    0 0.7929259 0.9040017 0.15516553 0.1065455
## 6       C_7396        alive    0 0.8417746 0.9030655 0.19557518 0.3254599
##          X6        X7        X8        X9       X10         X11       X13
## 1 0.6406004 0.8089633 0.6740869 0.8812637 0.7569596 0.834351075 0.7993820
## 2 0.3124525 0.7706200 0.6416549 0.8656750 0.6945201 0.846501687 0.8026194
## 3 0.5484156 0.1874124 0.1661158 0.8567552 0.2586799 0.071300117 0.7921015
## 4 0.9032863 0.5375908 0.4070450 0.8592872 0.4142520 0.003972904 0.7936836
## 5 0.8247363 0.1774358 0.1597238 0.8569111 0.2045312 0.047520249 0.7920690
## 6 0.9068323 0.2825957 0.4577980 0.8567355 0.3464305 0.456546301 0.7921591
##         X14       X15       X16       X17       X18       X19
## 1 0.8417947 0.4344658 0.8812637 0.8032230 0.9263590 0.7295633
## 2 0.7705496 0.4424028 0.8656750 0.7824677 0.9099418 0.7300764
## 3 0.2695647 0.4356859 0.8567552 0.2381168 0.8975064 0.7233144
## 4 0.5059413 0.4344691 0.8592872 0.4629548 0.9027724 0.7232534
## 5 0.2758681 0.4356680 0.8569111 0.2428845 0.8980139 0.7232835
## 6 0.4237689 0.4349420 0.8567355 0.4172182 0.8981026 0.7225744

#Complete feature engineering with test dataset
fe_test_out_scaled <- test_out_scaled %>%
  mutate(X19 = (test_out_scaled$X4 + test_out_scaled$X12) / 2)
head(fe_test_out_scaled)

##   company_name status_label year        X1        X2        X3        X4
## 1          C_1        alive    0 0.8859633 0.9088472 0.5471894 0.7659540
## 2          C_1        alive    0 0.8961008 0.9111779 0.6415353 0.7666978
## 3          C_1        alive    0 0.8971019 0.9109830 0.6737841 0.7669218
## 4          C_1        alive    0 0.8938971 0.9103744 0.6547404 0.7656777
## 5          C_1        alive    0 0.8936527 0.9105600 0.5720723 0.7660115
## 6          C_2        alive    0 0.9147122 0.9109481 0.6964213 0.7694148
##          X5          X6        X7        X8        X9       X10       X11
## 1 0.7304792 0.001061683 0.5688525 0.5434620 0.8598426 0.5391276 0.6626979
## 2 0.7711349 0.001656774 0.6197980 0.4766205 0.8615737 0.5935186 0.7342238
## 3 0.7748568 0.001876436 0.6123251 0.5260128 0.8615136 0.5936504 0.7223063
## 4 0.7671790 0.001983229 0.5901825 0.5321018 0.8608089 0.5655547 0.5702040
## 5 0.7648079 0.002293192 0.5787289 0.5602616 0.8610630 0.5660362 0.6338154
## 6 0.7562953 0.002492272 0.6856861 0.7250980 0.8632434 0.6380398 0.4066021
##         X12       X13       X14       X15       X16       X17       X18
## 1 0.6825761 0.7933372 0.5939366 0.4361635 0.8598426 0.5935964 0.9032991
## 2 0.6830770 0.7941776 0.6442356 0.4366249 0.8615737 0.6564536 0.9057360
## 3 0.6830791 0.7943506 0.6310959 0.4368654 0.8615136 0.6488802 0.9055708
## 4 0.6814798 0.7934679 0.6330690 0.4368419 0.8608089 0.6054576 0.9049257
## 5 0.6825695 0.7938464 0.6157443 0.4370202 0.8610630 0.5955742 0.9052003
## 6 0.6860893 0.7987601 0.7054848 0.4390500 0.8632434 0.6396690 0.9072868
##         X19
## 1 0.7242650
## 2 0.7248874
## 3 0.7250004
## 4 0.7235787
## 5 0.7242905
## 6 0.7277521

#Complete omission of unnecessary variables after feature engineering on the test dataset
fe_test_out_scaled <- fe_test_out_scaled %>%
  select(-c(7,15))
head(fe_test_out_scaled)

##   company_name status_label year        X1        X2        X3        X5
## 1          C_1        alive    0 0.8859633 0.9088472 0.5471894 0.7304792
## 2          C_1        alive    0 0.8961008 0.9111779 0.6415353 0.7711349
## 3          C_1        alive    0 0.8971019 0.9109830 0.6737841 0.7748568
## 4          C_1        alive    0 0.8938971 0.9103744 0.6547404 0.7671790
## 5          C_1        alive    0 0.8936527 0.9105600 0.5720723 0.7648079
## 6          C_2        alive    0 0.9147122 0.9109481 0.6964213 0.7562953
##            X6        X7        X8        X9       X10       X11       X13
## 1 0.001061683 0.5688525 0.5434620 0.8598426 0.5391276 0.6626979 0.7933372
## 2 0.001656774 0.6197980 0.4766205 0.8615737 0.5935186 0.7342238 0.7941776
## 3 0.001876436 0.6123251 0.5260128 0.8615136 0.5936504 0.7223063 0.7943506
## 4 0.001983229 0.5901825 0.5321018 0.8608089 0.5655547 0.5702040 0.7934679
## 5 0.002293192 0.5787289 0.5602616 0.8610630 0.5660362 0.6338154 0.7938464
## 6 0.002492272 0.6856861 0.7250980 0.8632434 0.6380398 0.4066021 0.7987601
##         X14       X15       X16       X17       X18       X19
## 1 0.5939366 0.4361635 0.8598426 0.5935964 0.9032991 0.7242650
## 2 0.6442356 0.4366249 0.8615737 0.6564536 0.9057360 0.7248874
## 3 0.6310959 0.4368654 0.8615136 0.6488802 0.9055708 0.7250004
## 4 0.6330690 0.4368419 0.8608089 0.6054576 0.9049257 0.7235787
## 5 0.6157443 0.4370202 0.8610630 0.5955742 0.9052003 0.7242905
## 6 0.7054848 0.4390500 0.8632434 0.6396690 0.9072868 0.7277521

descriptive_stats_2 <- do.call(
  rbind,
  lapply(names(fe_train_out_scaled), function(col) compute_stats(fe_train_out_scaled[[col]], col))
)
descriptive_stats_2

##    Variable Mean Median St.Deviation Variance Range  IQR Skewness Kurtosis
## 1      year 0.00   0.00         0.00     0.00     0 0.00      NaN      NaN
## 2        X1 0.85   0.85         0.04     0.00     1 0.06    -0.08     4.61
## 3        X2 0.91   0.90         0.01     0.00     1 0.00   -29.49  4081.70
## 4        X3 0.38   0.38         0.25     0.06     1 0.44     0.13     1.87
## 5        X5 0.34   0.34         0.29     0.08     1 0.60     0.17     1.61
## 6        X6 0.59   0.61         0.27     0.07     1 0.44    -0.29     1.99
## 7        X7 0.36   0.37         0.22     0.05     1 0.36     0.05     2.07
## 8        X8 0.42   0.42         0.18     0.03     1 0.26     0.01     2.48
## 9        X9 0.86   0.86         0.01     0.00     1 0.00   -22.97  2998.80
## 10      X10 0.41   0.42         0.18     0.03     1 0.26     0.00     2.57
## 11      X11 0.35   0.32         0.31     0.10     1 0.66     0.21     1.48
## 12      X13 0.79   0.79         0.01     0.00     1 0.00   -10.89  1249.11
## 13      X14 0.43   0.43         0.20     0.04     1 0.30     0.04     2.29
## 14      X15 0.44   0.44         0.01     0.00     1 0.00    -1.14   718.39
## 15      X16 0.86   0.86         0.01     0.00     1 0.00   -22.97  2998.80
## 16      X17 0.44   0.44         0.21     0.04     1 0.32     0.04     2.18
## 17      X18 0.90   0.90         0.01     0.00     1 0.01   -24.32  3212.05
## 18      X19 0.72   0.72         0.01     0.00     1 0.00    -9.23   923.76

descriptive_stats_2 %>%
  kbl(caption = " Table 2. Descriptive Statistics After Scaling") %>%
  kable_classic()

Table 2. Descriptive Statistics After Scaling

Variable	Mean	Median	St.Deviation	Variance	Range	IQR	Skewness	Kurtosis
year	0.00	0.00	0.00	0.00	0	0.00	NaN	NaN
X1	0.85	0.85	0.04	0.00	1	0.06	-0.08	4.61
X2	0.91	0.90	0.01	0.00	1	0.00	-29.49	4081.70
X3	0.38	0.38	0.25	0.06	1	0.44	0.13	1.87
X5	0.34	0.34	0.29	0.08	1	0.60	0.17	1.61
X6	0.59	0.61	0.27	0.07	1	0.44	-0.29	1.99
X7	0.36	0.37	0.22	0.05	1	0.36	0.05	2.07
X8	0.42	0.42	0.18	0.03	1	0.26	0.01	2.48
X9	0.86	0.86	0.01	0.00	1	0.00	-22.97	2998.80
X10	0.41	0.42	0.18	0.03	1	0.26	0.00	2.57
X11	0.35	0.32	0.31	0.10	1	0.66	0.21	1.48
X13	0.79	0.79	0.01	0.00	1	0.00	-10.89	1249.11
X14	0.43	0.43	0.20	0.04	1	0.30	0.04	2.29
X15	0.44	0.44	0.01	0.00	1	0.00	-1.14	718.39
X16	0.86	0.86	0.01	0.00	1	0.00	-22.97	2998.80
X17	0.44	0.44	0.21	0.04	1	0.32	0.04	2.18
X18	0.90	0.90	0.01	0.00	1	0.01	-24.32	3212.05
X19	0.72	0.72	0.01	0.00	1	0.00	-9.23	923.76

Once an improvement in the variance had been established following transformations, scaling, and feature engineering, a k-means cluster model was created with 2 centers.

#Fit a k-means model with k=2
kmModel <- kmeans(fe_train_out_scaled %>% select(where(is.numeric)), centers = 2)
kmModel

## K-means clustering with 2 clusters of sizes 27864, 35081
## 
## Cluster means:
##   year        X1        X2        X3        X5        X6        X7        X8
## 1    0 0.8842453 0.9108686 0.6099576 0.5442547 0.5143056 0.5546127 0.5517438
## 2    0 0.8175925 0.9039075 0.1990224 0.1795096 0.6424195 0.2128060 0.3067425
##          X9       X10       X11       X13       X14       X15       X16
## 1 0.8629295 0.5769663 0.6292912 0.7970271 0.6097588 0.4369612 0.8629295
## 2 0.8569827 0.2859484 0.1313110 0.7921508 0.2905325 0.4354495 0.8569827
##         X17       X18       X19
## 1 0.6287897 0.9060604 0.7269292
## 2 0.2876292 0.8982139 0.7231503
## 
## Clustering vector:
##     [1] 1 1 2 2 2 2 1 1 1 2 2 2 2 2 2 1 2 2 1 2 2 1 2 1 2 1 1 2 1 2 1 2 1 2 2 2
##    [37] 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 1 1 1 2 1 2 1 1 2 1 2 2 2 1 2 2 2 2
##    [73] 1 1 1 2 2 2 2 1 2 2 2 1 1 1 2 1 2 1 1 2 1 2 1 2 2 1 1 1 2 1 2 1 2 1 2 1
##   [109] 2 1 2 2 1 2 1 1 2 2 1 1 1 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 1 1 1
##   [145] 1 2 2 2 1 2 1 1 1 2 1 2 2 1 2 2 1 2 2 2 2 1 1 2 1 2 1 1 2 2 1 2 2 2 2 1
##   [181] 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 1 2 2 2 2 2 1 1 2 1 2 2 1 2 2
##   [217] 2 1 2 1 2 1 1 2 1 2 1 1 1 1 2 1 1 1 2 2 2 2 1 2 2 2 2 2 2 1 2 1 2 2 2 1
##   [253] 1 2 1 1 2 1 2 1 2 1 2 1 2 1 1 2 2 1 1 1 1 2 1 2 1 1 1 1 2 1 2 2 2 2 1 1
##   [289] 2 2 1 2 2 2 2 1 2 1 2 1 1 1 1 1 2 2 2 2 1 2 2 2 1 2 2 1 2 2 2 2 2 1 1 2
##   [325] 2 2 1 1 2 2 1 2 1 2 1 2 1 2 2 2 1 1 2 2 2 1 2 1 2 2 1 2 1 2 1 2 1 2 2 1
##   [361] 1 2 2 1 2 1 2 1 1 2 1 2 1 1 1 2 2 2 2 2 1 2 2 1 2 1 2 1 2 1 1 1 1 2 2 1
##   [397] 2 1 1 1 1 2 2 1 2 2 1 2 1 1 1 2 2 1 1 2 2 2 1 2 2 1 1 1 1 2 2 1 2 2 2 2
##   [433] 1 1 2 2 2 2 2 2 1 1 1 2 1 1 1 1 2 2 2 2 2 2 1 1 1 2 1 2 2 1 2 2 2 2 2 1
##   [469] 1 1 2 1 1 2 2 2 1 2 2 2 2 1 2 2 1 1 2 2 1 2 1 2 1 1 1 1 1 1 1 2 2 2 1 1
##   [505] 2 2 1 2 1 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 1 2 1 2 1 1 1 1 1 1 1 2 2 1 2
##   [541] 2 2 1 2 2 1 2 2 1 1 1 1 2 2 2 2 2 1 2 2 2 1 2 1 2 1 2 1 1 2 2 2 1 2 1 2
##   [577] 1 2 1 2 2 2 2 1 2 1 2 2 1 2 1 1 1 2 2 1 2 2 1 2 1 1 1 2 1 2 2 1 2 1 2 1
##   [613] 2 2 2 2 1 1 1 2 1 1 1 1 2 1 1 2 1 2 2 1 1 2 1 1 1 1 2 2 1 2 1 2 2 1 2 1
##   [649] 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 1 1 2 2
##   [685] 2 1 2 1 2 1 1 2 2 1 1 1 1 2 2 2 2 2 1 1 1 2 2 1 1 1 1 1 1 2 2 1 2 2 1 2
##   [721] 2 1 2 1 1 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 1 2 1 1 2 1 1 1 1 2 2 2 2 2 2 1
##   [757] 2 1 2 1 2 2 2 2 1 1 1 1 2 2 2 2 1 1 2 1 1 1 2 2 2 1 2 1 2 1 2 2 2 2 1 2
##   [793] 2 1 1 2 1 1 1 2 1 1 2 2 1 2 2 2 1 2 1 2 1 2 2 2 2 1 2 2 1 2 1 1 1 2 1 2
##   [829] 2 2 1 2 2 1 2 2 1 1 2 1 1 1 1 1 2 2 2 1 2 1 2 2 2 1 1 2 2 2 1 2 2 2 1 1
##   [865] 1 2 2 1 1 2 2 1 2 2 1 2 1 1 2 1 1 2 2 2 1 2 2 2 2 1 1 2 2 1 2 2 1 1 2 2
##   [901] 1 1 1 1 1 2 1 1 1 2 2 1 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 2
##   [937] 1 2 1 1 1 2 2 2 1 2 1 1 1 1 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 2 1 1 2 2 2
##   [973] 1 1 2 1 2 1 1 2 2 1 1 1 2 2 2 2 2 2 1 1 2 1 2 2 2 1 1 1 2 2 1 2 1 1 2 2
##  [1009] 1 2 1 2 2 2 2 2 2 2 1 1 2 2 1 2 1 2 2 2 2 2 2 1 2 2 1 1 1 1 2 2 2 1 1 1
##  [1045] 1 1 2 1 2 1 2 1 2 1 1 1 2 1 2 2 2 1 1 2 2 2 2 2 1 1 2 1 2 2 2 1 2 1 2 1
##  [1081] 2 2 1 2 1 1 1 2 1 1 1 1 2 2 2 2 2 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 2 2 2 2
##  [1117] 1 1 2 2 2 2 2 1 1 1 2 1 2 1 1 1 1 1 1 2 2 2 2 1 2 2 2 1 2 2 1 2 1 2 2 2
##  [1153] 2 1 2 1 2 1 2 2 1 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1 1 1 1 2 2 2 1 1
##  [1189] 2 2 2 2 1 2 2 2 1 2 2 1 1 2 1 2 2 2 2 2 2 2 2 1 2 1 2 2 1 2 1 2 1 1 1 2
##  [1225] 1 1 2 1 1 1 1 1 2 1 1 2 2 1 1 2 2 2 1 2 2 1 2 2 2 2 1 2 2 1 2 1 2 2 2 2
##  [1261] 1 1 2 1 2 2 1 2 1 2 2 2 1 1 1 2 1 2 2 2 1 2 1 1 2 1 2 1 1 1 2 1 2 1 2 1
##  [1297] 1 1 1 2 1 1 2 1 2 1 1 2 2 1 2 2 1 1 2 2 2 2 1 2 1 1 1 2 2 1 2 2 1 2 1 2
##  [1333] 2 1 2 2 1 2 1 1 1 2 2 1 2 2 2 2 1 2 1 2 1 1 1 1 1 2 1 2 2 1 1 2 1 1 2 1
##  [1369] 1 2 1 2 1 2 2 2 2 2 2 1 1 2 1 2 1 2 2 2 2 1 2 2 1 2 2 2 1 2 2 2 1 1 2 2
##  [1405] 2 2 2 1 1 2 2 1 2 2 2 1 2 2 2 1 1 2 2 1 1 2 2 2 2 2 1 1 1 1 2 2 2 1 2 2
##  [1441] 2 1 2 2 2 2 1 2 1 2 2 1 2 1 2 2 2 1 2 2 1 2 1 2 2 2 2 1 2 1 2 2 2 2 2 2
##  [1477] 2 2 2 2 2 1 2 2 1 2 2 1 2 1 2 1 1 2 1 1 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2
##  [1513] 2 1 2 1 2 1 2 2 1 2 1 2 1 1 1 2 2 2 2 2 1 1 1 2 2 2 1 2 2 1 1 2 2 2 1 1
##  [1549] 2 2 1 2 1 1 1 2 1 1 1 2 1 1 2 2 1 2 2 1 2 2 1 1 1 2 2 2 1 2 2 1 2 2 2 2
##  [1585] 1 2 2 1 2 2 2 1 2 1 1 1 2 2 2 2 2 2 1 2 2 1 2 2 2 2 1 2 1 2 1 2 2 2 2 2
##  [1621] 2 1 2 1 1 2 2 2 1 2 2 2 2 2 2 1 1 2 1 2 2 2 2 2 2 1 1 2 2 2 2 1 2 1 1 2
##  [1657] 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 1 1 2 1 2 2 1 2 1 2 1 2 1 2 1 2 1 1 2 2 1
##  [1693] 2 1 1 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 1 2 1 1 2 2 2 2 1 2 2
##  [1729] 1 2 1 2 2 2 1 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 1 2 1 1 1 1 2 2 1 2 2 1 1 2
##  [1765] 2 1 1 2 2 1 1 1 2 2 1 2 1 1 1 1 2 2 2 2 2 2 1 1 2 2 1 1 2 1 2 2 2 1 2 2
##  [1801] 2 2 2 1 2 1 2 2 1 2 2 2 2 2 1 2 2 1 1 1 2 1 1 1 2 1 2 1 1 1 1 2 1 1 1 2
##  [1837] 2 1 2 1 2 2 1 1 2 1 2 1 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2
##  [1873] 2 2 2 1 2 2 2 1 2 2 1 2 2 2 2 2 2 2 2 1 1 1 2 1 1 1 1 2 2 2 1 2 1 2 2 1
##  [1909] 1 2 2 1 2 1 2 2 2 2 1 2 1 2 1 1 2 2 1 2 1 1 2 2 2 2 2 2 1 2 1 1 2 2 2 1
##  [1945] 1 2 2 1 2 1 1 2 2 2 1 2 2 1 1 1 1 1 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 2 1 2
##  [1981] 2 2 1 2 1 1 1 1 2 2 1 2 1 2 1 1 2 1 1 1 2 1 1 1 2 2 2 2 1 2 1 1 2 2 2 1
##  [2017] 2 2 1 2 1 2 2 1 2 1 2 1 2 1 1 1 2 2 1 2 1 2 1 2 2 1 2 2 1 2 2 2 1 1 2 2
##  [2053] 1 1 1 1 2 2 2 1 1 2 1 2 1 2 2 1 2 1 2 1 1 2 2 2 2 2 1 2 2 1 1 2 2 2 2 1
##  [2089] 2 2 2 2 1 2 2 1 1 1 2 1 1 2 2 2 1 2 1 2 1 2 1 2 1 2 2 1 1 2 2 2 1 1 2 1
##  [2125] 1 1 1 2 2 1 2 1 2 2 2 2 2 1 1 1 2 2 1 1 1 1 1 2 1 1 2 1 2 2 2 2 1 2 1 2
##  [2161] 1 2 1 1 1 2 1 1 2 1 2 2 1 2 1 2 2 2 2 1 2 2 2 1 1 2 1 2 2 2 2 1 1 1 2 2
##  [2197] 1 2 1 1 1 2 2 1 2 1 1 1 2 2 1 2 2 2 2 1 1 2 2 1 2 2 2 1 2 1 1 1 1 2 1 2
##  [2233] 2 1 2 1 1 2 1 2 1 2 2 1 2 1 2 1 1 2 1 2 2 1 2 1 2 2 2 2 2 2 2 1 2 2 1 2
##  [2269] 2 2 2 2 2 2 1 2 1 2 2 2 1 2 2 2 2 2 1 2 2 1 1 2 1 2 2 2 1 2 2 2 2 2 2 2
##  [2305] 2 1 2 1 2 1 1 1 1 2 2 2 2 1 2 2 2 1 2 1 1 1 2 2 2 2 1 2 2 1 1 2 1 1 2 1
##  [2341] 2 2 1 2 2 1 1 1 1 2 2 1 2 2 1 2 2 1 1 1 1 2 2 1 2 2 2 1 1 1 2 2 1 2 1 1
##  [2377] 2 1 2 1 1 2 2 1 2 2 1 1 2 2 1 1 2 2 2 1 1 2 2 2 2 1 2 1 2 2 1 2 2 1 2 2
##  [2413] 2 1 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 2 1 2 1 2 1 2 1 1 1 1 2 2 2 2 2 2 1 2
##  [2449] 1 2 2 1 2 2 1 1 2 1 1 1 2 1 2 2 2 1 2 2 1 2 1 1 1 2 2 1 1 2 2 2 2 2 2 2
##  [2485] 2 1 2 1 1 2 1 1 1 2 1 2 2 2 1 1 2 1 2 1 2 1 1 2 1 1 2 1 1 2 1 2 2 1 1 1
##  [2521] 1 2 1 2 1 1 2 1 2 2 1 2 2 1 2 2 1 2 1 1 2 2 1 2 1 2 1 2 1 2 2 1 2 2 1 1
##  [2557] 1 1 1 2 2 2 1 2 1 2 1 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 2 2 2 2
##  [2593] 1 2 2 2 2 2 2 2 1 1 2 2 2 1 1 2 2 1 2 1 2 1 1 2 2 2 1 2 2 1 2 2 2 1 2 2
##  [2629] 1 2 2 1 2 1 1 2 2 1 1 1 1 2 2 1 2 2 1 2 1 1 2 1 2 2 2 1 1 2 1 1 1 2 2 2
##  [2665] 2 1 1 2 1 2 2 1 1 1 2 2 1 2 1 2 2 1 1 2 2 1 1 1 1 1 2 1 1 2 2 2 1 1 1 1
##  [2701] 1 2 2 1 2 2 1 2 1 1 1 2 2 1 2 1 1 2 2 2 1 2 2 2 1 2 2 2 1 1 2 2 1 2 2 2
##  [2737] 1 2 1 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 1 2 1 2 2 1 2 2 1 2 2 2 1 1 1 2
##  [2773] 1 1 1 2 1 1 2 2 2 1 1 1 1 2 1 2 1 1 2 1 1 1 1 2 1 2 1 1 2 1 2 2 1 2 2 2
##  [2809] 2 1 2 2 2 2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 1 1 2 2 2 2 1 2 2 2 1 1 2 2 1 2
##  [2845] 2 2 1 1 2 1 1 2 1 1 1 2 1 1 2 1 2 1 1 2 1 1 2 2 2 1 1 2 2 2 1 2 1 1 2 2
##  [2881] 1 2 1 1 2 2 2 2 1 2 1 2 2 1 1 2 2 2 1 1 2 1 1 2 1 1 1 2 1 1 1 1 1 1 2 2
##  [2917] 2 2 1 1 2 2 2 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 2 2 2 2 1 2 1 1 2 2 2 1 2 2
##  [2953] 2 1 2 1 1 1 2 2 2 2 1 1 1 2 2 2 2 1 1 2 2 2 1 2 2 2 1 1 1 2 1 1 1 1 1 2
##  [2989] 1 2 1 1 1 2 2 1 2 1 2 1 1 1 2 1 2 2 2 2 2 1 1 2 2 1 1 1 2 2 2 1 1 1 2 2
##  [3025] 2 2 1 1 2 2 1 1 1 2 2 1 1 2 2 2 2 2 2 2 1 2 2 2 1 1 2 2 2 2 2 2 2 2 1 1
##  [3061] 2 1 1 1 1 2 1 2 1 1 1 1 2 1 2 2 1 1 2 2 1 1 1 1 2 2 1 2 2 1 2 1 2 2 2 2
##  [3097] 2 2 1 2 2 1 2 2 2 2 2 1 2 1 1 1 2 2 1 2 1 2 1 1 1 2 1 1 2 2 1 1 2 1 2 2
##  [3133] 2 1 2 2 2 1 1 2 1 2 1 1 2 1 1 1 2 2 2 1 1 1 1 2 1 2 1 2 1 2 1 1 2 1 1 2
##  [3169] 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1 1 2 2 2 1 1 1 1 2 1 1 1 2 1 2 1 2 1 1 1 2
##  [3205] 1 1 1 1 1 1 1 2 2 2 2 2 1 1 2 2 2 2 1 1 1 2 2 2 2 1 1 2 2 2 2 1 1 1 1 2
##  [3241] 1 1 2 2 2 2 2 1 1 1 2 1 2 2 1 2 1 1 2 2 2 2 1 1 2 2 2 1 1 2 1 2 2 2 1 2
##  [3277] 2 1 2 2 2 2 2 2 1 2 2 2 1 2 1 1 2 2 2 1 2 1 2 1 2 1 1 1 1 2 1 1 2 2 1 1
##  [3313] 1 2 1 2 2 2 1 1 1 2 1 1 2 2 1 1 2 2 1 2 2 2 2 2 2 1 1 2 2 1 1 1 1 1 1 2
##  [3349] 2 1 1 2 1 1 1 2 2 1 1 1 1 2 2 1 1 1 1 1 2 1 1 2 2 2 1 2 2 2 2 2 1 2 2 2
##  [3385] 1 2 1 2 2 1 1 2 1 1 1 1 2 1 2 1 2 1 2 2 2 2 1 2 1 2 1 1 1 1 1 2 2 1 2 1
##  [3421] 2 1 1 2 1 2 2 2 1 2 2 1 2 1 1 1 1 2 2 2 1 2 1 2 1 2 1 1 1 1 1 1 2 2 2 2
##  [3457] 2 2 2 1 1 1 1 2 2 1 2 2 1 1 2 2 1 2 2 1 2 2 1 1 2 2 1 1 1 2 2 2 1 1 2 2
##  [3493] 2 2 1 2 2 1 2 2 2 2 2 2 1 2 2 2 1 1 2 1 2 2 2 2 2 1 1 1 1 1 2 1 1 1 1 1
##  [3529] 2 2 1 1 1 1 1 2 1 2 1 2 1 2 2 2 2 1 1 2 2 2 1 2 1 2 1 2 1 2 1 2 2 2 1 2
##  [3565] 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 2 1 1 2 2 1 1 1 2 2 2 1 2 1 2 2 2 1
##  [3601] 1 1 1 1 2 1 2 1 2 2 2 2 1 2 1 1 2 1 1 2 1 1 2 2 2 1 1 2 1 2 1 1 1 1 1 1
##  [3637] 1 2 2 1 2 1 1 1 2 2 2 1 2 1 1 1 2 2 1 2 1 2 1 1 1 2 2 2 2 1 1 2 2 1 1 1
##  [3673] 2 1 1 2 2 2 2 1 1 1 1 1 1 1 2 2 1 1 2 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2
##  [3709] 2 1 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 1 2 1 2 1 1 1 2 1 1 2 1 2 1 1 1
##  [3745] 2 1 2 2 2 2 2 2 1 2 2 2 1 1 2 2 1 1 2 2 2 2 1 1 2 2 1 1 2 2 1 2 2 1 2 1
##  [3781] 1 1 2 1 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 2 2 1 2 1 1 1 2 2 2
##  [3817] 1 2 1 1 2 2 2 1 1 2 2 1 1 2 2 1 2 1 1 2 2 2 1 1 1 2 2 2 1 2 2 2 1 2 2 2
##  [3853] 2 1 2 1 2 2 1 2 1 1 1 2 1 1 2 1 2 2 2 2 2 2 2 1 2 2 2 2 1 2 1 1 1 1 2 2
##  [3889] 1 1 2 1 1 2 2 1 1 1 2 1 1 2 2 2 1 2 2 1 1 1 1 1 2 2 2 2 1 2 2 1 2 1 2 1
##  [3925] 2 2 1 2 2 2 1 1 1 2 2 1 2 1 2 1 2 1 1 1 1 2 2 2 2 2 2 2 2 1 2 2 2 1 2 1
##  [3961] 2 1 2 1 2 1 2 1 1 1 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 1 2 2 2 1 1 1 1 2 1 1
##  [3997] 1 2 1 2 2 1 2 2 2 1 1 2 1 1 2 1 1 2 2 1 2 2 2 2 1 2 1 2 2 1 1 2 2 2 1 2
##  [4033] 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2 1 1 1 2 1 1 1 1 1 1 2 1 1 2 1 2
##  [4069] 2 2 1 2 1 1 1 1 2 1 2 2 2 1 2 2 2 2 2 1 2 2 2 1 1 2 2 2 1 1 2 1 2 1 1 2
##  [4105] 2 2 1 1 1 2 1 1 2 1 2 1 2 2 1 2 1 1 2 1 1 1 1 1 2 2 2 1 2 2 2 2 2 2 2 1
##  [4141] 1 1 2 2 2 2 1 2 2 1 2 1 1 2 2 1 1 2 1 1 1 1 1 2 2 1 1 2 2 1 2 2 2 1 1 1
##  [4177] 1 2 2 2 2 2 1 2 1 2 1 2 1 1 2 2 1 2 2 2 1 2 1 2 2 2 1 2 1 1 2 1 2 2 2 1
##  [4213] 2 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 1 2 2 1 1 2 1 2 2 2 2 2 1 1 1 2 1 2 2 1
##  [4249] 1 2 1 2 2 2 1 2 2 1 1 1 1 1 2 1 1 2 2 2 1 2 1 2 1 2 1 1 2 2 2 1 2 2 2 2
##  [4285] 2 1 1 1 2 1 1 1 2 2 2 1 1 2 1 2 2 2 2 2 1 1 1 2 2 1 2 2 1 1 1 2 1 1 2 2
##  [4321] 1 1 1 1 2 2 1 2 2 1 2 1 1 2 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 1 2 2 1 2 1
##  [4357] 2 2 2 1 1 2 1 2 2 2 2 1 1 1 1 2 1 1 1 1 2 2 2 1 2 1 2 2 2 2 2 2 1 2 1 1
##  [4393] 2 1 2 2 2 2 1 1 2 2 2 1 2 2 1 1 1 2 1 2 1 2 2 2 1 2 1 2 1 2 2 1 1 2 1 1
##  [4429] 1 2 1 2 1 1 2 2 2 2 1 1 1 2 2 2 2 2 1 2 1 2 1 1 2 1 1 2 1 2 1 2 1 2 2 2
##  [4465] 1 2 2 2 2 1 1 1 1 2 2 1 2 2 2 2 2 1 1 1 1 2 1 2 1 2 2 2 2 1 1 1 2 2 2 2
##  [4501] 1 2 1 1 2 2 2 2 2 2 2 1 2 1 2 1 2 2 1 1 2 1 2 2 1 2 2 2 2 2 1 2 1 2 1 2
##  [4537] 2 1 1 1 2 2 1 2 2 1 1 2 1 2 2 2 2 2 2 1 2 2 2 2 2 1 2 1 1 2 2 1 2 1 2 1
##  [4573] 2 1 1 2 1 2 1 1 2 1 2 1 2 1 1 1 1 1 2 1 1 2 1 2 1 1 2 2 2 1 1 1 1 1 1 1
##  [4609] 2 1 1 1 2 1 1 2 1 2 2 1 2 1 1 1 1 1 1 2 2 2 2 2 1 1 2 2 2 1 1 1 2 2 1 2
##  [4645] 2 2 2 1 2 1 1 1 1 2 2 2 1 2 1 2 1 2 2 1 1 2 2 1 2 2 2 1 1 2 1 1 1 1 1 2
##  [4681] 2 1 1 1 1 2 2 2 1 1 2 2 1 1 2 1 1 1 2 2 1 1 2 2 1 1 2 1 2 1 1 2 1 2 2 1
##  [4717] 2 2 1 2 2 2 2 2 2 1 2 1 2 1 2 2 2 2 1 2 2 2 1 1 1 1 1 2 1 1 1 2 2 1 1 1
##  [4753] 2 2 1 2 2 2 1 2 2 2 2 1 1 2 2 2 2 2 2 2 1 1 2 2 1 2 2 1 1 2 2 1 1 1 2 2
##  [4789] 2 1 2 2 2 2 2 2 1 2 2 1 2 2 2 2 2 2 1 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 1 1
##  [4825] 1 1 1 1 2 2 2 1 2 1 1 1 2 2 1 1 1 2 1 1 2 2 2 2 2 1 2 1 2 2 1 2 2 1 2 2
##  [4861] 1 2 1 1 2 2 2 1 1 2 2 2 2 1 2 2 2 2 1 2 1 1 1 2 1 1 2 2 2 1 2 2 2 2 2 1
##  [4897] 1 1 1 1 2 1 2 1 1 1 2 1 1 1 2 1 1 1 2 2 1 2 1 2 1 2 1 2 1 1 1 2 2 1 1 2
##  [4933] 1 1 2 1 2 2 2 1 1 2 1 2 1 2 1 2 2 2 2 1 2 2 2 2 2 1 2 2 2 1 1 1 2 2 1 1
##  [4969] 2 2 2 1 1 1 1 2 2 1 1 2 2 1 1 2 2 1 1 2 1 2 2 1 2 1 1 1 1 2 2 1 2 1 2 2
##  [5005] 2 1 2 2 2 2 2 1 2 2 1 2 2 1 1 2 1 2 2 2 1 1 2 2 2 2 2 2 2 2 1 1 2 1 1 1
##  [5041] 2 2 2 2 1 2 2 1 2 1 1 2 2 2 2 2 1 1 2 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 2
##  [5077] 2 1 1 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 1 2 2 2 1 2 1 1 2 2 1 1 2 2 1 1
##  [5113] 1 2 2 2 1 2 1 2 2 2 2 2 1 2 1 1 1 2 1 2 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2
##  [5149] 2 1 1 2 2 1 1 1 2 1 1 1 2 2 2 2 1 2 2 2 2 1 2 2 1 1 1 1 1 1 1 1 2 2 1 1
##  [5185] 2 1 1 2 2 2 1 2 1 2 2 2 1 2 2 1 2 2 2 1 2 1 1 2 1 1 2 1 2 2 2 2 2 2 1 2
##  [5221] 1 2 1 2 2 1 2 1 1 2 2 2 1 1 1 2 1 2 2 2 1 1 1 1 1 2 1 1 2 2 1 2 1 2 2 2
##  [5257] 2 2 1 2 2 2 2 2 2 2 1 2 1 2 2 1 2 1 2 1 1 2 2 2 1 2 1 2 2 1 2 1 1 1 2 1
##  [5293] 2 1 1 2 1 1 2 2 1 1 2 2 1 1 2 1 2 2 2 1 2 1 2 2 1 2 1 2 2 2 1 1 2 2 1 2
##  [5329] 2 2 1 2 2 1 1 2 2 2 1 1 1 1 1 2 2 2 1 1 1 2 1 2 2 2 1 2 2 2 2 2 1 1 1 1
##  [5365] 2 1 2 2 1 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 1 2 1 1 2 1 2 1 2 2 2 2 2 1
##  [5401] 2 2 2 2 2 2 2 1 2 2 1 1 2 2 1 1 2 1 2 1 2 1 1 1 2 1 2 1 2 1 2 1 2 2 1 1
##  [5437] 2 2 2 2 2 1 1 2 2 1 2 1 2 1 1 1 1 1 2 2 1 1 1 1 2 1 2 1 2 2 1 1 2 1 1 2
##  [5473] 2 1 1 2 1 2 1 2 1 2 2 2 1 1 1 1 2 2 2 1 2 2 1 1 1 2 2 2 2 2 1 1 1 2 2 1
##  [5509] 2 1 2 2 2 2 1 2 1 2 2 1 2 1 1 2 2 2 2 1 2 1 1 2 2 2 2 1 2 1 2 1 1 1 1 2
##  [5545] 2 2 1 2 1 1 2 1 2 1 2 2 1 2 2 2 1 2 2 2 1 1 2 1 2 2 2 1 2 1 2 1 2 1 2 2
##  [5581] 2 1 2 2 1 2 2 1 2 2 2 1 1 1 2 2 1 2 2 2 1 1 1 2 1 1 1 1 2 2 1 2 1 2 1 1
##  [5617] 2 1 1 2 2 2 1 1 2 1 2 1 2 1 2 2 1 2 1 2 1 1 2 2 2 2 1 1 2 2 1 2 1 1 1 2
##  [5653] 2 2 1 2 1 1 1 2 1 1 2 1 1 2 1 2 2 2 2 1 2 1 2 1 1 1 2 2 2 1 2 2 2 2 2 1
##  [5689] 1 2 2 2 2 1 1 1 1 1 2 1 2 2 2 2 1 1 1 2 1 2 1 1 2 1 1 1 1 2 1 1 2 1 1 1
##  [5725] 1 1 2 1 1 2 2 2 1 2 2 2 1 1 2 1 2 1 2 1 2 1 1 2 2 1 2 2 1 2 2 1 2 1 1 2
##  [5761] 1 2 1 2 2 2 1 1 1 2 1 2 1 1 2 2 2 1 1 1 2 1 2 2 2 2 1 2 1 1 2 2 2 1 2 2
##  [5797] 1 2 1 1 2 2 2 1 1 1 1 2 2 2 1 2 1 2 1 2 2 2 1 2 2 2 1 1 2 1 1 1 1 1 2 1
##  [5833] 1 2 2 2 2 1 2 2 2 1 2 1 2 2 1 2 1 1 1 1 1 2 2 1 1 2 1 1 1 2 2 2 2 2 2 2
##  [5869] 2 2 2 2 2 2 1 2 2 2 1 2 1 2 2 2 1 2 1 1 2 2 2 1 2 1 1 2 1 2 2 2 1 2 1 2
##  [5905] 2 2 2 1 2 1 2 2 1 1 2 2 2 1 2 2 2 2 2 1 1 1 2 2 1 1 2 2 2 1 2 1 2 1 1 1
##  [5941] 2 2 2 2 1 2 1 2 2 2 2 1 2 1 2 1 2 1 1 2 2 1 2 1 2 1 2 2 2 2 1 1 2 2 2 2
##  [5977] 2 1 1 1 2 1 1 2 1 1 1 1 2 2 1 1 2 1 1 1 2 2 1 2 1 1 2 1 1 1 1 1 1 2 1 2
##  [6013] 1 2 1 2 1 2 1 1 2 2 1 1 2 1 1 2 1 2 2 2 2 2 2 2 1 1 1 1 2 2 1 2 1 1 2 2
##  [6049] 1 1 1 2 1 1 1 2 2 2 1 1 2 1 2 1 2 1 1 1 1 2 2 1 1 2 2 2 2 1 1 2 1 1 1 2
##  [6085] 1 1 2 2 2 2 1 2 2 2 1 2 1 2 2 2 1 1 2 2 1 1 1 2 1 2 2 2 1 2 1 2 2 1 2 1
##  [6121] 2 1 1 1 1 1 2 1 1 2 2 2 1 1 2 2 2 1 2 2 2 1 2 2 1 2 2 2 2 1 1 1 2 2 2 2
##  [6157] 1 2 1 2 1 1 2 1 2 2 2 1 1 2 2 2 1 2 2 1 2 1 1 1 1 2 2 2 2 1 1 2 2 2 1 1
##  [6193] 2 1 1 2 1 1 1 2 2 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 2 1 2 2 2 2 2 1 2 2 2 1
##  [6229] 2 2 2 1 2 1 2 1 2 2 2 1 2 2 2 2 2 1 1 1 2 2 2 2 2 1 2 2 1 1 2 1 2 1 2 1
##  [6265] 2 2 1 1 1 1 1 2 2 1 2 2 2 2 1 2 2 2 1 2 2 1 2 2 1 2 1 1 1 2 2 1 1 1 2 2
##  [6301] 1 2 2 1 2 1 2 2 2 1 1 2 1 1 2 2 2 1 2 1 1 2 2 1 2 2 1 2 1 1 2 1 2 2 2 1
##  [6337] 1 1 1 1 1 1 1 2 2 1 1 2 2 2 1 2 2 1 2 1 1 2 1 2 2 1 1 1 1 2 1 1 1 2 1 1
##  [6373] 1 1 1 1 1 1 2 2 2 2 2 1 1 2 1 2 2 2 2 2 2 1 1 2 1 1 2 1 1 2 2 2 1 1 2 2
##  [6409] 2 2 2 2 1 2 1 2 2 2 2 1 1 2 2 1 1 1 2 1 2 1 2 1 1 1 2 1 1 1 1 2 1 2 2 2
##  [6445] 2 1 2 1 2 1 2 2 2 2 2 1 2 2 2 1 1 2 2 2 1 2 2 2 1 1 2 2 2 1 2 1 1 1 2 2
##  [6481] 2 1 2 2 1 1 1 1 2 2 2 2 2 1 2 1 2 1 1 2 2 1 1 1 2 1 1 2 2 2 1 2 2 1 1 2
##  [6517] 2 1 1 1 1 2 2 1 1 1 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2
##  [6553] 2 2 2 2 1 2 1 2 1 2 1 2 2 1 2 1 2 2 1 1 2 1 2 2 2 2 2 2 1 2 2 2 2 1 1 1
##  [6589] 1 2 2 1 2 2 2 1 1 2 1 1 1 2 2 2 1 1 2 2 2 2 2 1 1 1 1 1 2 1 1 1 2 1 2 2
##  [6625] 2 1 1 2 2 2 2 2 2 1 1 1 1 1 2 1 2 1 2 2 1 2 2 1 2 2 2 1 1 2 1 1 1 1 2 2
##  [6661] 2 1 1 2 2 1 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 2 2 2 2 1 1 2 1
##  [6697] 2 2 1 2 2 2 2 2 2 2 2 1 2 2 1 2 1 2 1 1 2 2 2 1 2 1 2 1 1 2 2 1 1 2 2 2
##  [6733] 2 2 2 1 1 1 2 1 1 1 1 2 2 2 2 1 2 2 1 1 1 1 2 2 1 2 2 1 1 2 1 1 2 2 2 2
##  [6769] 1 2 1 1 2 1 1 2 2 1 1 2 2 1 1 1 2 2 2 2 2 2 1 1 1 2 2 2 1 2 1 1 2 2 2 1
##  [6805] 1 2 1 1 1 1 2 1 1 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1 1 2 2 2 1 2 2 2 2 2 1 1
##  [6841] 2 2 2 2 1 2 2 2 1 1 2 2 2 1 2 1 1 2 2 2 2 1 2 1 1 2 2 1 2 1 1 1 2 2 1 2
##  [6877] 1 2 2 1 1 2 2 2 1 1 1 2 1 1 2 1 1 1 1 2 2 2 2 2 1 2 1 1 2 2 1 2 2 1 2 1
##  [6913] 2 2 1 2 2 1 2 2 1 1 2 1 2 2 2 2 1 2 1 1 2 1 2 1 2 2 1 2 2 1 1 1 2 2 2 1
##  [6949] 1 1 1 1 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 1 2 1 1 1 1 1 2 2 2 2 2 2 2 1 2
##  [6985] 2 2 2 2 1 2 2 2 2 1 1 2 1 2 1 1 2 2 1 2 2 2 2 1 1 1 2 2 2 1 2 2 1 1 1 2
##  [7021] 1 2 2 2 2 1 2 2 2 2 2 2 2 1 2 1 1 1 2 1 2 1 2 1 1 1 2 1 2 1 2 1 2 1 1 2
##  [7057] 1 1 2 2 2 1 2 1 1 2 2 2 2 1 1 2 2 2 2 1 1 1 1 2 1 2 2 2 1 2 2 2 2 2 2 1
##  [7093] 2 2 2 1 2 2 2 1 2 1 2 2 1 2 1 2 1 2 2 2 2 2 2 1 1 1 2 1 2 2 1 2 2 1 2 2
##  [7129] 2 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 1 2 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1
##  [7165] 1 1 1 1 1 2 1 1 1 2 2 2 2 1 2 2 1 2 1 2 1 1 2 2 2 1 2 2 2 2 2 2 2 2 2 1
##  [7201] 1 2 2 1 1 1 2 1 2 1 1 2 2 1 2 1 1 2 1 2 2 1 1 1 2 2 1 1 2 2 2 1 2 1 2 2
##  [7237] 1 2 2 2 2 1 2 2 2 2 1 2 2 1 2 1 2 1 2 2 1 2 1 1 1 2 2 1 1 1 2 1 2 1 2 2
##  [7273] 2 2 1 2 2 1 1 2 2 2 1 1 2 2 2 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 1 2 2
##  [7309] 1 2 1 2 1 2 2 1 2 1 1 2 2 2 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 1 2 2 2 1
##  [7345] 2 1 2 2 1 2 1 2 2 1 2 2 1 2 1 2 1 1 2 2 2 2 1 2 1 1 2 1 1 1 1 2 1 1 2 1
##  [7381] 2 2 1 1 2 2 1 1 2 2 1 2 2 2 2 2 1 2 2 2 1 2 2 2 2 1 1 1 1 2 2 1 2 2 1 1
##  [7417] 2 1 2 1 2 2 1 2 1 1 1 2 1 1 1 2 2 1 1 2 1 2 1 1 2 1 1 2 1 2 1 2 2 2 1 2
##  [7453] 2 1 1 2 1 1 1 1 2 2 2 1 1 2 2 1 1 2 2 2 2 2 1 1 2 1 2 2 2 2 2 2 1 1 2 2
##  [7489] 2 2 1 2 1 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 1 2 1 1 2 2 2 2 1 1 2 2 1 1 2
##  [7525] 2 2 1 1 2 2 1 2 2 1 1 2 1 2 2 2 2 2 2 1 1 2 2 2 2 2 1 1 1 2 1 1 1 1 1 2
##  [7561] 2 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2 2 2 2 1 2
##  [7597] 2 2 1 1 2 1 2 2 2 2 1 1 2 1 2 2 2 2 1 2 1 2 1 1 2 2 2 1 1 1 2 2 1 2 2 1
##  [7633] 2 1 2 1 1 2 2 2 1 1 1 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 2 1 1 2
##  [7669] 2 1 2 2 2 2 1 2 2 2 2 1 1 2 2 2 2 1 1 2 2 1 1 1 1 1 2 2 2 1 1 2 1 2 1 2
##  [7705] 1 1 2 1 1 2 1 1 2 1 1 1 1 2 1 1 1 1 1 2 2 2 2 2 1 2 1 2 1 2 2 1 2 2 2 1
##  [7741] 2 1 2 2 1 1 1 2 2 1 1 1 1 1 1 2 1 2 1 2 1 2 2 1 1 2 2 2 2 1 2 1 1 1 1 2
##  [7777] 1 1 1 1 2 1 1 1 1 2 2 2 2 1 2 1 2 2 2 1 2 2 1 2 2 2 2 2 2 2 1 1 1 2 1 1
##  [7813] 1 2 1 2 2 2 2 1 2 1 1 1 1 1 1 1 2 1 2 1 2 1 1 2 1 1 2 2 1 1 2 2 1 2 2 2
##  [7849] 1 2 1 1 2 2 2 2 2 1 2 1 1 1 2 1 2 2 1 2 2 2 2 2 1 2 1 1 2 1 2 2 2 1 2 1
##  [7885] 2 2 2 1 1 2 2 2 1 1 2 2 1 1 2 2 2 1 1 1 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 1
##  [7921] 2 1 2 1 2 2 2 1 2 2 2 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 1 2 2 1 2 1 1 2 2 1
##  [7957] 1 1 1 1 2 2 1 1 1 1 1 1 1 2 1 2 1 1 2 2 1 2 2 2 1 2 2 2 2 2 1 1 2 2 2 1
##  [7993] 1 1 1 1 2 1 2 1 1 1 2 1 2 1 1 2 2 2 1 2 2 1 2 1 2 2 2 1 2 2 1 1 1 1 2 2
##  [8029] 2 2 2 2 2 1 2 2 2 2 1 2 1 2 2 2 2 2 1 2 1 2 1 1 2 1 2 1 2 2 1 2 2 2 1 2
##  [8065] 2 2 1 1 2 2 1 2 2 2 1 1 2 2 1 1 2 1 1 2 2 2 2 2 2 1 1 2 1 1 2 1 2 1 1 2
##  [8101] 1 1 1 2 1 2 2 2 2 2 1 2 2 2 1 2 1 2 1 1 1 1 1 1 1 2 1 2 1 2 2 1 2 2 2 1
##  [8137] 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 1 1 1 2 2 2 2 1 1 1 1 2 1 2 2 2 1 2 2 1 2
##  [8173] 2 2 1 1 2 2 1 1 2 2 2 2 2 1 2 1 2 2 1 2 2 2 2 2 1 2 2 2 2 2 1 1 2 2 1 1
##  [8209] 2 2 2 2 2 2 1 2 2 1 1 1 1 1 2 2 2 1 2 2 1 2 1 2 2 2 2 1 2 1 2 2 1 1 1 2
##  [8245] 1 2 1 2 2 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 1 2 2 2 1 2 2 1 1 2 2 1 2 2 2
##  [8281] 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 1 2 1 2 1 1 2 2 1 2 2 1 1 2 2 2 2 1 2 2
##  [8317] 1 1 1 1 2 1 1 2 1 1 1 1 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 1 2 2 1 2 2 2 2
##  [8353] 2 2 2 2 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 2 1 2 2 1
##  [8389] 1 1 2 2 1 1 2 2 1 2 1 1 2 1 2 1 2 2 1 1 2 1 2 2 1 2 2 2 1 1 2 2 1 1 2 2
##  [8425] 1 2 2 1 2 1 2 1 2 2 2 1 1 1 1 1 2 1 2 2 1 1 2 1 2 2 2 2 2 1 2 2 1 2 2 1
##  [8461] 1 1 1 1 2 1 1 1 2 2 2 1 2 2 2 1 1 2 1 2 2 1 2 2 1 2 2 2 2 2 1 1 2 1 2 2
##  [8497] 1 2 2 2 2 1 2 1 2 2 1 2 2 2 2 1 1 1 1 2 1 1 2 2 2 1 2 1 1 1 1 2 2 2 2 1
##  [8533] 1 1 2 2 2 1 2 2 1 2 1 1 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 2 2 1 2 2 1 2 2 2
##  [8569] 1 2 1 2 2 2 2 1 1 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 2 2 1 1 1
##  [8605] 2 1 2 2 2 2 1 1 1 2 2 2 1 1 2 2 2 2 2 1 1 2 1 1 2 1 1 1 1 1 2 1 2 1 2 1
##  [8641] 1 1 2 2 1 2 2 2 2 1 2 1 2 1 2 2 2 2 1 2 1 1 2 1 2 2 2 2 1 1 1 2 2 2 2 2
##  [8677] 2 2 2 1 2 1 1 2 1 1 2 2 2 2 1 1 1 2 2 2 2 2 2 1 1 1 2 2 1 2 2 2 1 2 1 1
##  [8713] 2 2 1 1 1 1 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 1 2 2 2 2 2 2 2 2 1 1 1
##  [8749] 1 2 2 2 1 2 2 1 1 2 1 2 1 2 1 2 2 1 1 2 1 2 2 1 2 2 2 1 2 1 2 2 1 1 1 2
##  [8785] 1 1 2 2 1 2 1 2 1 2 2 1 1 2 1 1 1 2 2 1 2 1 2 2 1 2 1 2 1 1 2 1 2 2 2 2
##  [8821] 2 2 1 1 2 1 1 1 2 2 1 1 1 2 1 2 2 1 2 1 2 1 2 2 2 2 1 1 1 2 2 1 2 2 2 1
##  [8857] 2 1 1 2 2 2 2 2 1 2 1 2 1 1 1 1 2 1 1 1 2 2 2 2 2 1 2 1 2 2 1 1 2 1 2 2
##  [8893] 1 2 1 1 2 1 2 2 1 1 2 2 1 2 1 2 2 2 2 2 1 2 2 2 1 1 1 1 2 2 2 2 2 2 1 2
##  [8929] 2 1 2 1 2 2 2 1 2 1 1 1 2 1 2 1 2 1 2 2 1 1 1 1 2 2 1 2 1 1 1 1 2 2 1 2
##  [8965] 2 2 1 1 1 2 2 2 1 2 2 2 2 2 2 1 1 1 2 1 1 1 2 1 2 1 1 2 2 2 1 1 2 1 2 2
##  [9001] 1 1 1 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 1 2 2 1 1 2 2 2 2 2 2
##  [9037] 1 2 2 1 2 2 2 2 1 1 1 2 1 2 2 2 2 2 1 1 2 1 1 2 1 1 1 2 2 2 2 2 2 1 2 2
##  [9073] 2 2 1 1 2 2 2 1 2 1 2 2 2 2 1 1 2 1 1 2 1 2 1 1 1 2 2 1 2 2 2 1 1 1 1 1
##  [9109] 2 1 2 1 1 1 1 1 2 2 1 2 2 2 2 1 2 1 1 2 2 2 2 2 1 2 1 1 1 1 2 2 1 1 2 1
##  [9145] 1 2 2 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 2 2 2 1 1 1 1 1 2 2 2 2 1 2
##  [9181] 1 1 2 1 2 2 1 2 1 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 1 1 2 2 2 2 2 1 2 1 2
##  [9217] 1 2 1 2 2 2 1 1 2 2 2 1 2 1 1 2 2 2 2 1 1 2 2 1 2 1 1 1 2 1 2 1 1 2 2 1
##  [9253] 1 2 1 2 2 2 1 1 2 2 1 2 2 1 1 2 2 1 2 2 1 2 2 2 2 1 2 2 1 1 2 1 1 2 2 2
##  [9289] 2 1 2 2 1 2 1 2 1 2 1 2 1 1 2 1 1 1 2 2 2 2 1 1 1 1 2 2 1 1 2 2 1 1 2 2
##  [9325] 1 2 1 2 2 2 2 2 1 1 1 2 2 1 1 2 2 1 2 2 2 1 2 2 1 1 2 1 1 2 1 2 2 2 2 1
##  [9361] 1 1 2 2 2 1 2 1 1 2 2 2 2 1 1 1 2 2 1 2 1 1 1 2 1 1 1 2 1 2 1 2 1 1 2 2
##  [9397] 1 1 1 2 2 1 2 1 2 1 1 2 2 2 2 2 1 2 2 1 1 1 2 2 2 1 2 1 1 2 2 1 2 1 1 1
##  [9433] 1 1 2 2 1 1 2 1 2 2 1 1 1 1 1 1 2 1 2 1 2 2 2 1 2 1 2 1 1 2 2 2 1 2 2 2
##  [9469] 2 2 2 1 2 1 1 2 2 2 2 1 1 2 2 1 2 2 2 1 2 2 2 2 2 1 1 1 2 1 2 1 1 1 1 1
##  [9505] 1 2 1 1 2 1 1 2 1 1 1 1 1 1 2 1 2 2 2 1 2 1 2 2 2 1 2 1 1 2 1 1 2 2 1 2
##  [9541] 2 2 2 1 1 2 2 1 1 2 2 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 2 1 1 2 2 1 1
##  [9577] 2 1 1 2 1 1 2 2 1 2 2 2 1 1 2 2 2 1 1 1 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2
##  [9613] 1 1 1 1 1 1 2 1 1 1 2 1 2 1 2 2 2 2 2 1 2 2 2 2 1 2 1 2 2 2 2 2 1 2 2 1
##  [9649] 1 2 2 2 1 2 2 1 2 1 2 1 1 2 1 2 2 1 1 1 1 1 2 2 2 1 1 2 1 2 2 1 2 2 2 2
##  [9685] 1 2 2 2 1 2 1 2 1 1 2 1 1 2 1 1 2 2 2 2 1 2 1 1 1 1 1 1 2 1 1 1 2 1 2 1
##  [9721] 2 2 1 2 1 2 1 1 1 1 2 2 2 1 1 2 1 1 1 1 1 2 2 2 2 2 1 2 1 2 2 2 1 1 2 1
##  [9757] 1 2 1 2 2 2 1 1 1 2 2 2 2 2 1 1 2 2 1 1 2 2 1 1 2 2 2 2 1 2 2 2 2 2 2 1
##  [9793] 1 2 1 2 2 2 2 2 1 2 2 1 1 2 1 1 2 1 2 2 1 1 1 1 2 2 2 2 2 1 1 2 1 2 1 2
##  [9829] 2 1 2 1 2 2 1 1 2 2 1 2 2 2 2 1 1 1 1 2 2 2 1 1 2 1 2 1 2 2 2 2 1 2 1 2
##  [9865] 2 1 1 2 2 2 1 2 1 2 2 2 2 1 1 2 1 1 1 1 1 2 2 2 2 2 1 2 1 2 1 2 1 1 2 1
##  [9901] 2 2 1 1 2 1 1 2 2 2 2 1 2 2 1 2 2 2 2 1 2 2 2 1 2 1 1 2 1 2 2 1 1 2 2 1
##  [9937] 1 1 1 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 1 1 2 1 2 2 1 2 1 1 2 1 1 1 2 1 1
##  [9973] 1 1 2 2 1 1 2 1 2 2 2 1 1 2 1 1 2 1 2 2 1 2 1 1 1 1 1 1 2 1 1 1 1 2 2 1
## [10009] 2 2 2 2 1 2 2 1 2 2 1 2 1 1 2 2 1 2 2 2 1 1 2 2 2 1 2 1 2 1 2 2 2 2 2 1
## [10045] 1 2 2 1 1 1 1 1 1 1 2 1 1 1 2 2 1 2 1 1 1 2 2 1 1 2 1 2 1 2 1 2 1 2 2 2
## [10081] 2 2 1 2 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 1 2 1 1 2 2 1 2 2 2 1 2 2 1 2 2
## [10117] 1 2 2 2 1 1 1 2 2 2 1 2 2 2 1 1 1 1 1 2 1 2 2 2 2 2 2 1 1 1 1 2 2 1 1 2
## [10153] 2 1 2 2 2 2 2 1 1 1 1 1 2 1 2 1 2 1 2 2 2 2 1 1 2 2 1 1 2 1 1 2 2 2 2 1
## [10189] 1 1 1 2 2 2 2 2 2 1 2 1 2 1 1 2 2 2 1 2 1 2 1 1 2 2 2 1 2 2 2 1 2 1 1 2
## [10225] 1 2 1 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 1 2 1 1 1 2 2 2 1 1 2 1 1 2 2 2 1 2
## [10261] 2 1 1 1 2 1 1 1 2 1 2 2 2 2 2 2 1 1 1 2 1 1 2 2 2 1 1 2 2 1 1 1 1 1 2 1
## [10297] 1 2 2 1 1 2 1 1 2 1 1 2 2 2 2 2 2 1 1 1 1 2 2 1 1 1 2 1 2 1 2 2 1 1 2 2
## [10333] 2 2 2 2 1 2 1 1 2 2 2 1 2 2 2 1 1 2 2 1 2 2 1 2 1 1 1 2 1 2 2 2 2 2 1 2
## [10369] 2 1 1 1 2 1 1 1 2 1 1 1 2 2 1 2 2 2 1 1 2 1 1 2 2 2 2 2 2 2 2 2 1 2 1 2
## [10405] 1 2 2 2 2 2 1 1 1 1 2 2 2 1 1 1 1 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 1 2 1 1
## [10441] 2 2 2 2 1 1 1 1 1 2 1 2 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1 1 1 2 2 1 1 1
## [10477] 1 2 2 1 1 2 1 2 2 2 2 2 2 1 2 1 1 2 2 2 1 1 2 2 2 1 1 1 1 2 2 2 2 1 2 2
## [10513] 2 1 1 1 2 2 1 2 2 2 2 1 2 2 2 2 1 2 1 1 2 2 1 2 1 2 2 1 1 2 1 1 1 2 1 1
## [10549] 1 1 2 1 2 2 2 1 2 1 2 1 1 2 1 1 2 2 1 2 1 2 1 2 1 2 2 2 2 1 1 1 2 1 1 2
## [10585] 2 1 2 1 1 2 1 1 2 2 1 1 1 2 1 1 1 2 1 1 2 2 2 1 2 2 2 2 1 2 2 2 1 1 2 2
## [10621] 1 1 1 2 2 1 2 2 2 2 1 1 2 1 1 1 2 1 2 2 2 1 2 1 2 1 2 2 1 1 1 2 2 2 1 2
## [10657] 1 1 2 1 1 1 2 1 2 1 1 2 1 2 1 2 2 2 2 1 1 2 1 1 2 2 1 2 2 2 1 2 1 1 2 2
## [10693] 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 1 2 2 1 1 2 1 2 1 2 2 2 2 2
## [10729] 1 2 2 1 1 1 2 1 1 1 2 2 1 2 2 1 1 1 1 1 1 2 2 1 2 2 2 2 2 1 2 2 1 1 2 2
## [10765] 1 1 1 2 1 2 1 2 2 2 1 1 2 2 1 2 1 1 1 1 2 2 2 2 2 2 2 1 2 1 2 2 2 1 2 2
## [10801] 2 2 1 2 2 1 1 2 2 1 2 2 2 1 1 1 1 1 2 1 2 1 1 2 1 1 1 2 2 2 1 1 1 1 1 2
## [10837] 2 1 1 1 1 2 1 2 1 1 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 2
## [10873] 2 2 2 1 2 1 2 1 1 1 2 1 2 2 1 2 2 1 2 1 2 1 2 1 2 2 1 1 2 2 2 1 2 2 1 2
## [10909] 2 1 1 2 1 2 2 2 2 1 1 2 2 2 2 2 1 2 1 1 1 2 2 1 2 1 1 2 2 2 2 2 2 2 1 2
## [10945] 2 1 2 2 1 1 1 2 1 1 1 1 2 1 2 1 2 2 1 2 1 2 2 1 2 2 1 1 2 1 1 1 1 2 1 2
## [10981] 2 1 2 2 1 2 1 1 2 1 2 2 2 1 1 2 2 2 1 2 2 2 2 1 1 2 2 1 2 2 1 1 2 2 1 1
## [11017] 1 1 2 1 1 1 2 2 1 2 2 2 2 2 1 1 2 2 2 2 2 2 1 2 2 1 1 2 2 2 1 1 1 1 1 2
## [11053] 1 1 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 1 1 2 2 2 1 2 1 2 2 2 2
## [11089] 1 1 2 1 2 1 2 2 2 2 1 1 2 1 1 2 1 2 2 1 2 1 2 1 1 2 1 1 1 1 1 2 1 2 1 1
## [11125] 1 1 1 2 2 2 1 1 1 2 1 2 1 2 2 1 2 2 2 1 2 2 2 2 1 1 2 2 2 2 2 1 2 1 2 2
## [11161] 2 1 2 2 2 1 2 1 2 1 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 2
## [11197] 2 2 1 1 1 2 2 2 1 1 1 2 2 2 1 2 1 1 2 1 2 1 1 2 2 2 2 2 1 2 1 2 1 2 2 1
## [11233] 2 2 1 1 1 1 1 2 2 2 2 2 1 2 1 1 2 2 1 2 2 1 2 1 2 1 2 1 2 2 2 2 2 2 2 2
## [11269] 2 2 2 1 2 2 1 1 1 1 1 1 1 1 2 2 1 2 1 2 2 1 1 2 2 1 2 2 1 1 2 2 2 1 2 1
## [11305] 2 2 1 2 1 2 2 1 1 2 2 2 1 1 2 2 1 1 1 1 1 2 2 2 1 1 1 2 1 1 1 1 1 2 2 2
## [11341] 1 1 2 2 1 2 1 1 2 2 2 1 2 1 1 1 1 1 1 2 2 2 2 2 1 2 2 1 1 2 2 2 2 1 2 1
## [11377] 2 1 2 1 1 2 2 1 1 2 2 1 1 2 2 2 2 2 1 2 1 2 2 1 2 1 2 2 2 1 1 2 1 2 2 2
## [11413] 2 1 1 1 1 2 2 1 1 2 2 2 1 2 2 1 1 1 1 1 2 1 1 2 1 1 2 1 2 2 2 2 1 2 1 1
## [11449] 2 2 2 1 2 1 1 2 2 1 1 2 2 1 2 1 1 2 1 2 1 2 2 1 1 1 1 1 2 2 2 2 2 2 1 2
## [11485] 2 2 2 1 1 2 1 2 1 2 2 2 1 2 2 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 1 2
## [11521] 2 1 1 2 2 2 1 2 1 2 2 1 2 2 2 2 2 1 2 2 2 1 1 2 1 1 1 2 2 2 2 2 1 2 2 1
## [11557] 2 2 2 2 1 2 2 2 1 1 2 1 1 2 2 2 2 1 1 1 2 2 2 2 2 2 1 2 1 2 1 1 2 1 1 2
## [11593] 2 2 1 2 1 2 1 2 2 2 1 2 2 2 1 2 1 1 2 2 2 1 2 1 2 1 2 1 1 2 1 1 2 2 2 2
## [11629] 2 1 2 1 1 2 1 2 1 1 1 1 1 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 1 2 1 2 2 2 2 2
## [11665] 1 2 2 1 1 1 2 1 1 1 2 1 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 1 1 2 2 2 2 1 1 1
## [11701] 1 1 1 1 2 2 2 1 2 1 2 2 1 1 2 2 1 1 2 1 2 1 1 1 2 1 2 1 2 2 2 2 1 1 2 2
## [11737] 1 2 1 2 1 2 2 1 2 2 2 2 2 2 2 1 2 2 1 2 1 2 1 1 2 2 1 2 2 2 2 1 1 1 1 1
## [11773] 1 1 2 1 1 2 2 1 1 2 2 2 2 1 1 2 2 2 1 2 1 1 1 1 1 1 2 2 1 1 2 2 1 2 1 1
## [11809] 1 2 1 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1 2 2 1 2 1 1 2 2 2 1 1 2 2 1 1 1 1 2
## [11845] 1 1 2 1 1 2 1 2 2 2 1 2 2 1 2 2 2 2 2 1 2 1 1 2 2 2 2 2 1 2 2 1 1 2 2 2
## [11881] 2 2 2 2 2 1 1 1 1 2 1 1 1 2 1 2 1 1 1 1 1 2 2 1 2 2 1 1 2 2 1 1 2 2 1 1
## [11917] 1 2 1 2 2 1 2 2 2 2 1 2 1 2 2 2 1 2 2 1 1 2 2 1 1 2 2 1 1 2 2 1 2 1 2 2
## [11953] 2 1 1 1 2 1 2 2 1 2 2 2 1 1 2 2 1 2 2 1 2 2 2 1 1 2 1 2 1 1 2 2 2 2 1 2
## [11989] 1 2 1 2 1 2 2 1 1 2 2 1 2 2 1 1 1 1 2 1 1 2 2 2 2 1 2 2 1 2 1 2 2 1 1 2
## [12025] 1 2 1 2 2 1 1 1 2 1 1 2 1 1 2 2 1 1 1 2 1 2 2 1 2 2 2 2 1 1 2 2 2 2 1 2
## [12061] 1 2 2 2 1 2 1 2 1 1 1 1 2 2 2 2 2 1 2 2 1 1 2 2 2 2 1 1 2 1 2 1 2 2 1 1
## [12097] 2 2 1 1 2 1 1 2 2 2 1 2 2 2 2 1 1 1 2 1 1 1 1 2 1 1 2 1 2 2 2 2 1 1 2 1
## [12133] 2 2 1 1 1 2 1 2 2 1 1 2 1 2 2 2 2 2 2 1 1 1 2 1 1 2 1 1 1 2 2 2 2 2 2 2
## [12169] 1 2 1 2 1 1 2 1 2 1 1 1 2 2 2 2 1 1 2 1 2 2 2 1 1 1 2 1 1 1 1 2 2 2 2 1
## [12205] 1 1 1 2 2 2 1 1 2 2 1 2 1 2 1 2 2 2 1 2 2 1 1 2 2 2 1 1 1 2 1 1 2 2 2 1
## [12241] 2 1 2 2 1 2 1 2 1 2 2 2 2 1 1 1 2 1 1 2 2 2 2 2 1 1 1 2 1 1 2 1 2 1 1 2
## [12277] 2 1 2 2 2 2 1 1 1 1 1 2 1 2 1 1 2 2 2 2 1 1 1 2 2 1 1 1 2 2 1 1 2 1 2 2
## [12313] 2 1 1 1 2 2 1 1 1 2 1 2 2 1 2 1 1 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2
## [12349] 1 2 2 2 2 2 2 1 1 2 1 1 2 2 1 2 2 2 1 2 2 2 1 2 1 1 2 1 2 2 1 2 1 1 2 2
## [12385] 2 2 1 1 1 2 1 2 2 2 2 1 2 1 2 2 2 2 1 2 2 2 1 1 1 2 2 1 1 2 2 2 1 2 1 2
## [12421] 1 2 2 2 1 1 1 1 1 1 1 1 1 2 1 2 2 1 2 1 1 1 2 2 2 2 1 1 1 2 2 1 2 1 2 2
## [12457] 1 2 2 2 2 1 1 1 2 2 1 1 2 1 2 1 2 1 2 1 1 1 1 2 2 2 2 2 2 2 1 2 1 2 2 1
## [12493] 1 2 2 2 1 2 2 1 1 1 2 2 2 2 1 2 2 1 1 2 1 2 2 2 2 1 2 1 2 1 1 2 1 1 1 1
## [12529] 1 2 1 1 1 1 1 2 1 1 1 2 1 1 2 1 1 2 1 1 2 1 1 1 2 1 2 2 1 2 2 1 1 1 1 2
## [12565] 2 1 2 2 1 2 1 1 1 2 1 2 2 2 1 1 2 2 1 1 1 2 1 1 2 2 2 2 2 1 1 2 2 1 2 2
## [12601] 2 2 1 2 1 1 2 2 2 2 2 2 1 1 2 2 2 1 2 2 2 2 2 1 1 2 2 2 1 2 1 2 2 2 1 2
## [12637] 1 2 2 2 1 2 2 2 1 2 1 1 1 2 1 1 2 1 2 2 2 2 2 1 1 2 1 1 2 2 1 2 1 2 1 2
## [12673] 2 1 1 2 1 2 1 2 2 1 2 2 2 2 2 2 2 1 2 2 1 1 2 2 2 2 2 1 1 2 1 2 1 2 1 2
## [12709] 2 1 2 1 1 2 1 2 2 1 2 1 2 1 2 1 2 2 1 2 2 1 2 1 1 2 1 2 2 1 1 2 1 2 1 1
## [12745] 1 1 2 2 1 2 1 2 1 1 1 2 1 2 2 2 1 2 2 2 1 2 1 2 1 2 2 2 2 1 2 2 2 1 1 1
## [12781] 1 1 2 1 2 1 1 1 2 2 2 2 2 1 1 1 2 2 2 2 2 2 1 2 2 1 2 1 2 1 1 1 2 1 2 2
## [12817] 1 1 2 2 2 1 1 2 1 1 2 1 2 2 1 2 2 1 2 1 1 2 1 2 1 2 2 2 2 1 1 1 2 2 1 2
## [12853] 1 1 1 1 1 2 2 2 1 1 2 1 2 1 1 1 2 2 1 1 2 1 1 2 1 1 2 1 1 1 1 1 2 2 2 1
## [12889] 2 1 2 2 2 2 2 2 2 1 2 1 2 1 1 2 2 1 2 2 2 1 2 1 2 1 1 1 1 2 1 2 1 2 2 1
## [12925] 2 2 2 2 1 2 1 2 1 2 2 1 1 2 2 1 2 2 2 2 2 2 2 1 2 1 1 1 2 2 1 2 2 2 1 2
## [12961] 1 1 1 2 1 2 2 2 1 2 1 1 1 1 2 2 2 1 2 1 2 2 2 2 1 2 2 1 2 2 2 1 2 1 1 2
## [12997] 1 1 1 2 1 1 1 2 1 1 2 1 2 2 1 1 1 1 2 1 1 2 2 2 1 1 1 2 2 2 2 2 1 2 1 2
## [13033] 1 2 2 2 2 1 2 1 2 1 1 2 2 2 1 2 2 2 2 2 2 1 2 1 2 1 1 2 1 2 1 2 2 1 1 2
## [13069] 1 2 1 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 1 2 2 1 1 2 1 1 1 2 2 1 2 2 1 1 2 1
## [13105] 2 1 1 1 1 2 2 2 1 2 1 2 2 2 1 1 1 1 1 2 1 2 2 1 1 1 1 2 1 2 2 1 1 2 2 1
## [13141] 1 1 2 2 2 2 2 2 2 1 2 1 2 1 2 1 1 1 1 2 2 2 1 2 1 1 2 2 2 2 1 2 1 2 2 2
## [13177] 2 2 1 1 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 2 2 1 1 2 1 1 2 1 2 2 1 2 2 1 1 2
## [13213] 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 1 2 2 2 1 2 2 1 2 1 1 1 2 2 1 2 2
## [13249] 1 1 2 1 2 2 1 2 1 2 2 2 2 2 1 2 2 1 2 1 2 2 1 1 1 1 2 1 2 2 1 2 1 1 2 1
## [13285] 2 1 1 1 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 1 2 1 2 2 1 1 1 2 1 1 2 1 2 1 2
## [13321] 1 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1 1 2 1 2 2 1 1 2 2 2 2 2 1 1 2 2 1
## [13357] 2 2 2 1 2 2 1 2 2 1 1 2 1 1 2 1 1 2 2 2 1 1 2 2 2 2 1 1 2 2 2 1 1 1 1 1
## [13393] 2 2 1 2 1 1 2 2 1 2 2 1 2 1 1 2 2 1 1 2 1 1 1 2 2 1 2 2 1 2 1 2 2 2 1 2
## [13429] 1 2 1 1 1 2 1 1 2 1 2 1 2 2 1 1 2 2 1 1 1 1 1 1 1 1 2 1 2 2 1 2 1 2 2 2
## [13465] 1 2 2 2 2 2 1 2 2 1 2 1 2 1 2 2 2 2 2 1 1 2 1 2 2 1 1 2 1 1 2 1 2 1 2 1
## [13501] 1 1 1 2 2 1 2 2 1 2 1 1 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 1 1 1 1 2 2 1 1
## [13537] 1 2 1 1 1 1 2 2 1 1 1 1 1 2 1 1 1 2 1 2 2 1 2 2 1 1 1 2 2 2 2 1 1 2 1 1
## [13573] 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 1 2 1 1 1 2 1 1 2 2 1 1 2 2 2 2
## [13609] 1 2 1 1 1 2 1 2 1 2 1 1 1 2 2 2 1 2 1 2 2 2 2 1 1 2 2 1 2 2 1 2 2 1 2 1
## [13645] 2 1 1 2 2 1 1 2 2 1 1 2 1 2 1 1 2 1 2 2 2 1 1 2 2 1 2 1 1 2 2 2 1 1 1 2
## [13681] 2 2 2 2 2 1 1 2 1 1 2 1 1 2 1 1 2 2 1 2 2 2 1 1 2 2 2 2 2 2 1 2 1 2 1 2
## [13717] 2 1 2 1 2 2 2 2 1 2 1 2 2 2 1 1 1 1 1 1 2 2 1 2 1 1 2 2 2 2 2 2 1 2 1 1
## [13753] 2 1 2 1 1 1 2 2 2 2 1 1 2 2 2 2 1 1 2 1 2 2 1 2 1 2 1 1 1 2 1 2 1 2 2 1
## [13789] 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2 1 2 1 1 2 1 1 1 2 1 1 2 1 2 2 2 1 1 2 2 1
## [13825] 2 1 1 1 2 1 1 2 2 2 1 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 1 2 2
## [13861] 1 2 2 1 1 1 2 2 1 1 1 2 1 1 2 1 2 2 2 1 2 1 2 1 2 2 1 2 1 2 1 1 1 1 2 1
## [13897] 2 2 1 2 1 2 1 2 1 1 1 1 2 2 1 2 2 1 2 1 1 1 1 2 2 2 2 1 2 1 2 1 2 2 2 2
## [13933] 2 1 2 1 1 2 2 2 1 2 2 1 1 2 2 2 2 1 2 2 1 2 1 1 1 2 2 1 2 2 1 1 2 1 2 1
## [13969] 1 2 2 1 1 1 2 2 2 2 1 1 2 2 2 2 1 2 2 1 1 1 1 2 1 1 1 2 2 2 2 2 2 2 2 1
## [14005] 2 2 2 2 2 2 1 2 1 2 1 1 1 1 2 1 2 1 2 2 2 2 2 2 2 2 1 1 1 2 2 1 2 1 2 2
## [14041] 2 2 2 1 2 1 2 2 1 1 1 2 1 2 1 2 1 2 1 1 2 2 2 2 1 1 2 2 1 2 2 2 1 1 1 1
## [14077] 1 2 2 2 1 1 2 1 2 2 1 1 2 2 2 2 1 2 2 1 1 2 2 1 2 1 1 2 2 1 2 1 2 2 1 2
## [14113] 1 1 1 1 2 2 2 1 2 2 1 2 2 1 2 1 2 2 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2
## [14149] 1 2 1 1 1 1 2 2 1 1 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 2 2 1 2 1 2 1 2 1 2 2
## [14185] 1 1 1 1 2 2 1 1 2 1 2 2 1 1 2 2 2 2 2 1 2 2 1 1 2 2 2 2 2 1 1 1 2 2 2 2
## [14221] 1 1 2 1 1 2 2 1 2 2 1 2 2 2 2 1 1 1 2 1 2 1 2 1 2 1 1 1 2 2 2 2 2 2 1 1
## [14257] 2 2 1 2 2 2 1 1 2 2 1 1 1 1 2 1 1 2 1 2 1 2 2 1 2 2 1 2 2 1 2 1 1 1 1 2
## [14293] 2 1 2 1 2 1 2 1 2 1 1 2 2 2 2 2 2 2 2 1 2 2 2 1 1 1 2 1 2 2 1 1 2 2 1 1
## [14329] 1 2 2 2 1 1 2 1 1 2 2 1 2 1 1 1 1 2 2 2 2 2 2 2 2 1 1 2 1 2 1 2 2 2 1 2
## [14365] 2 2 1 1 1 2 2 2 2 2 1 2 1 2 1 2 2 2 2 2 2 2 1 1 1 2 2 1 1 2 2 2 1 2 1 2
## [14401] 2 2 1 2 1 1 1 2 2 2 1 1 1 1 2 2 1 1 1 1 2 2 2 2 2 2 1 1 2 2 2 1 1 1 2 2
## [14437] 2 2 2 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 1 1 2 1 2 2 2 1 1 1 2
## [14473] 2 2 2 1 1 1 2 2 1 2 2 1 2 1 2 2 2 2 1 2 1 2 2 2 2 1 1 1 2 2 2 2 2 2 2 1
## [14509] 2 1 2 1 2 1 2 2 2 2 2 1 2 2 1 1 1 2 1 1 1 2 1 2 1 2 2 2 2 1 2 2 1 2 2 1
## [14545] 2 2 1 2 2 1 1 2 1 1 1 2 1 1 1 2 1 2 2 2 2 1 1 1 2 2 1 1 1 2 2 1 2 1 1 2
## [14581] 2 1 2 1 1 1 1 1 1 2 1 1 1 2 1 1 2 1 2 1 1 2 1 2 1 1 1 2 2 2 1 2 2 2 1 2
## [14617] 1 2 2 1 2 2 1 2 2 2 1 1 1 1 1 1 2 1 2 2 1 1 1 1 2 1 2 1 1 2 2 1 2 2 2 1
## [14653] 2 1 2 1 2 2 2 2 2 2 1 1 2 2 2 1 2 1 2 2 1 1 1 1 1 2 1 2 1 1 2 1 2 2 1 1
## [14689] 2 2 1 2 1 2 2 2 2 2 2 1 2 2 2 2 2 1 2 2 1 1 2 2 1 2 1 2 1 2 2 1 1 2 2 2
## [14725] 2 2 2 2 1 2 2 1 1 2 1 1 1 2 2 1 1 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2
## [14761] 2 1 1 1 2 1 2 2 2 2 1 2 1 2 2 1 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 2 1
## [14797] 2 1 2 1 1 1 1 1 1 2 2 1 2 1 2 1 2 1 2 2 1 2 1 1 2 2 2 2 1 1 1 1 1 2 1 2
## [14833] 2 2 2 2 2 1 2 1 2 1 2 2 2 2 1 2 2 2 2 1 1 2 2 2 1 1 2 2 2 1 1 2 1 1 1 1
## [14869] 1 1 1 2 1 2 1 1 2 2 2 1 2 2 2 1 2 2 2 1 1 2 1 1 2 2 2 1 2 2 1 1 1 2 1 2
## [14905] 2 1 1 2 2 1 2 2 1 1 2 2 1 2 2 2 1 2 1 1 1 2 2 2 2 1 2 1 2 2 2 1 2 1 1 2
## [14941] 2 2 2 1 2 1 2 2 1 2 1 2 2 1 1 2 1 1 1 2 1 2 2 2 2 2 2 1 1 2 2 1 2 1 2 2
## [14977] 2 1 1 1 2 1 1 2 1 1 1 1 1 2 1 1 1 2 1 2 1 1 2 2 1 2 1 1 2 1 1 1 1 2 1 1
## [15013] 1 1 1 1 1 2 2 2 1 1 2 2 2 1 2 2 1 1 1 2 1 2 2 1 2 2 1 2 2 2 1 1 2 1 1 1
## [15049] 1 1 2 1 2 2 2 2 1 2 2 2 2 2 2 1 2 1 1 1 2 2 2 2 2 1 2 2 2 2 2 2 1 2 1 1
## [15085] 1 1 2 1 2 1 2 1 2 2 1 1 1 2 1 2 2 2 1 1 2 1 1 2 2 1 1 1 1 2 1 1 1 1 2 1
## [15121] 2 1 1 1 2 1 1 1 2 1 2 2 2 1 2 1 2 2 2 1 1 2 2 1 2 1 2 2 2 1 2 1 2 1 2 1
## [15157] 1 1 2 1 1 1 2 1 1 2 2 1 2 1 1 1 2 1 2 1 2 2 1 1 2 1 2 2 1 2 1 2 2 2 1 1
## [15193] 2 1 2 2 2 2 2 1 2 2 2 1 2 1 2 1 1 2 1 1 2 2 2 1 2 2 1 2 1 1 2 2 2 1 2 2
## [15229] 1 2 1 2 1 2 2 2 1 2 2 2 1 1 2 1 1 2 1 2 1 1 2 2 2 1 2 2 2 2 2 1 2 2 1 2
## [15265] 2 2 2 1 1 2 1 1 2 2 1 1 1 2 2 2 2 1 2 1 1 1 1 2 2 1 2 1 1 1 2 1 1 2 2 2
## [15301] 2 1 2 1 2 1 2 1 2 2 2 1 2 2 1 1 2 1 1 2 2 2 1 1 2 1 1 1 1 1 1 2 1 1 2 2
## [15337] 2 2 1 2 2 2 2 1 2 1 2 2 1 2 2 2 1 1 2 2 2 2 1 2 1 1 1 2 2 2 2 2 2 1 2 2
## [15373] 2 1 2 1 1 2 1 2 2 1 2 1 1 2 1 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 2 1 1
## [15409] 2 1 2 2 1 1 2 1 2 2 2 2 1 2 2 2 2 2 2 1 2 1 1 2 1 1 2 2 2 2 1 2 1 2 2 2
## [15445] 1 2 2 2 2 2 1 2 2 1 2 2 1 2 2 2 1 1 1 2 1 1 1 2 2 1 1 1 1 2 2 1 1 2 2 2
## [15481] 2 1 2 2 2 2 1 1 2 1 1 2 1 1 1 1 2 2 1 1 2 2 2 2 1 2 1 1 1 2 2 2 2 2 2 2
## [15517] 2 2 1 1 1 1 2 2 2 1 2 1 2 2 1 2 1 1 1 1 1 1 1 2 2 1 1 2 1 1 1 2 2 2 2 1
## [15553] 1 2 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 2 1 1 1 2 1 2 2 1 1 2 1 2 2
## [15589] 1 1 2 1 1 2 1 1 2 1 1 2 1 2 2 1 2 2 2 1 1 1 2 1 1 2 1 2 2 2 2 1 1 2 2 2
## [15625] 1 1 1 1 1 2 2 2 2 1 1 2 1 1 2 1 2 1 2 1 1 2 2 1 2 2 1 2 2 2 1 2 1 1 2 2
## [15661] 2 1 1 1 2 2 1 1 1 1 1 2 2 2 2 2 2 2 1 1 2 2 2 1 2 2 2 2 1 1 1 1 1 1 2 2
## [15697] 2 2 2 2 2 1 2 2 1 2 1 1 1 1 2 2 2 2 1 1 1 1 1 2 2 2 2 1 2 1 2 1 1 2 2 1
## [15733] 2 1 2 1 2 1 2 2 2 1 2 1 1 1 1 1 2 2 1 2 2 1 2 1 2 2 1 2 2 2 2 2 1 2 2 1
## [15769] 1 2 2 1 2 2 1 2 2 2 1 2 1 1 2 1 2 1 2 1 2 1 1 2 2 2 1 1 2 2 2 1 2 2 2 1
## [15805] 2 2 2 2 2 1 1 2 2 1 1 2 1 2 1 2 2 1 2 2 1 1 2 2 2 1 1 1 1 2 2 2 2 2 1 2
## [15841] 1 1 2 2 2 2 2 2 1 1 2 2 2 1 2 1 1 2 1 2 2 2 1 1 2 1 2 2 2 2 1 2 1 1 1 1
## [15877] 1 1 2 1 1 1 2 2 1 2 1 1 1 2 1 1 2 2 1 1 2 2 1 2 2 1 2 2 2 1 2 1 1 1 2 2
## [15913] 2 2 2 1 2 2 2 2 2 1 1 2 1 2 2 2 1 2 2 1 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1
## [15949] 2 1 2 1 1 2 2 2 2 2 2 2 1 1 2 2 2 1 2 2 1 1 1 2 2 2 1 1 1 1 2 2 2 2 1 1
## [15985] 1 2 2 1 1 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 2 1 2 2 2 2 1 1 2 2 1 2 1 1 2
## [16021] 2 2 1 2 1 1 2 2 2 1 2 2 2 1 2 1 1 1 1 2 1 1 1 2 1 2 2 1 2 1 1 2 1 2 2 2
## [16057] 2 1 1 2 2 2 2 1 2 2 2 2 1 2 2 2 1 2 1 2 2 1 1 1 2 1 1 2 1 2 2 1 1 1 2 1
## [16093] 2 2 2 2 1 1 1 1 2 1 1 1 2 2 2 2 1 2 2 1 2 2 2 1 2 2 2 2 2 2 1 1 1 2 2 2
## [16129] 2 1 1 2 1 1 2 2 2 2 2 1 2 2 2 1 1 2 1 2 1 1 1 2 1 1 2 2 1 1 1 2 2 1 2 2
## [16165] 1 2 1 1 2 2 2 1 1 2 1 1 2 1 1 1 2 1 2 2 2 2 2 1 2 2 1 1 2 2 1 2 1 1 1 2
## [16201] 1 1 2 1 2 2 2 2 2 1 2 2 2 1 1 1 1 1 2 2 2 2 2 1 1 1 2 2 1 1 2 1 2 2 2 1
## [16237] 2 1 2 1 2 1 2 1 2 1 1 2 1 1 1 2 2 1 1 2 1 2 2 1 2 1 2 1 1 2 2 2 2 1 1 1
## [16273] 2 2 1 2 2 1 2 1 1 2 2 2 1 2 1 2 2 1 2 1 1 1 2 1 1 2 1 2 2 1 2 2 2 2 1 1
## [16309] 2 1 1 2 1 2 2 2 2 1 2 1 1 1 2 1 1 1 2 2 1 1 2 2 2 2 2 2 1 1 1 1 2 1 2 1
## [16345] 2 2 1 2 1 1 2 1 1 2 1 2 1 2 2 2 2 1 1 2 2 1 2 2 1 2 2 1 2 2 1 1 1 1 2 2
## [16381] 1 1 2 1 2 1 1 2 1 2 2 2 1 2 1 1 2 2 1 2 1 2 2 1 1 1 2 1 2 2 2 1 2 2 2 2
## [16417] 2 2 1 1 2 2 2 2 2 1 1 2 2 2 1 2 2 1 1 1 2 1 2 2 2 1 2 2 1 1 1 2 2 2 2 2
## [16453] 1 2 2 1 1 2 2 1 2 1 2 2 2 2 1 2 2 1 2 1 1 2 2 2 2 2 1 2 1 2 1 1 2 2 2 2
## [16489] 2 1 2 2 1 1 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 2 2 1 2 2 2 2 2 1 2 1 2 2 2 2
## [16525] 2 1 2 1 2 2 2 2 1 2 1 2 1 2 1 2 1 2 1 1 2 2 1 2 1 2 1 1 2 2 1 2 2 1 1 2
## [16561] 1 2 2 2 2 2 2 1 2 1 1 1 1 2 1 1 2 1 2 2 1 2 2 2 2 1 2 1 2 2 2 1 2 1 1 1
## [16597] 2 2 2 2 2 1 2 2 1 2 2 1 2 2 2 2 1 2 1 1 2 2 2 1 2 2 2 1 1 2 2 2 1 2 1 2
## [16633] 1 2 2 2 1 2 1 2 1 2 1 1 2 2 1 2 2 2 2 2 1 2 1 1 2 2 2 2 2 1 2 2 1 2 1 2
## [16669] 2 2 2 1 1 2 1 2 2 2 1 1 2 1 2 2 2 1 1 1 2 1 2 2 1 1 2 1 1 2 2 2 1 2 1 2
## [16705] 2 2 2 1 1 2 1 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 2 2 2 1 1 1 1 2 2 1 1 1 1 1
## [16741] 2 2 2 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 1 2 1 1 1 1 2 2 1 1 2 1 2 1 1
## [16777] 1 2 2 2 2 2 1 2 1 2 1 2 2 1 2 1 1 2 2 1 2 2 1 2 1 1 2 2 2 2 2 1 1 1 2 2
## [16813] 1 1 1 2 2 1 1 2 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 2 2 1 1 1 2 1 2 1 2 2 2 1
## [16849] 2 1 2 1 1 1 1 2 2 2 2 2 1 1 2 1 1 2 2 2 1 1 1 1 2 2 1 1 1 2 1 1 2 1 2 1
## [16885] 2 1 1 2 1 1 1 1 2 1 1 2 2 2 2 1 2 1 1 2 2 1 2 2 2 1 2 1 2 1 2 2 2 2 2 2
## [16921] 1 1 2 2 1 1 1 2 2 2 2 1 2 1 1 1 2 1 1 2 2 1 1 2 1 2 2 1 1 1 2 1 2 2 2 2
## [16957] 2 1 2 1 2 1 2 1 1 2 2 1 2 2 1 1 1 2 1 1 1 2 1 2 1 1 2 1 1 2 2 2 2 2 2 1
## [16993] 1 2 1 1 2 1 2 1 2 1 2 2 1 1 2 1 2 2 1 1 1 1 2 2 1 2 2 1 1 1 1 1 2 2 2 1
## [17029] 1 2 1 2 2 1 2 1 2 2 2 2 2 2 2 2 2 1 1 2 2 1 2 2 2 2 1 2 1 2 1 1 1 2 1 2
## [17065] 1 1 1 1 2 2 2 2 1 1 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2
## [17101] 1 1 2 2 1 2 2 1 2 1 1 2 2 2 2 1 2 2 2 2 1 2 2 2 2 1 2 2 1 1 2 2 2 1 1 2
## [17137] 2 1 1 2 2 2 1 1 2 2 2 1 1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 1 2 2 2 2 1 2 1
## [17173] 2 2 2 1 2 2 2 1 2 1 2 1 1 1 2 1 1 2 1 2 1 2 2 2 2 2 1 2 1 2 1 1 1 1 2 2
## [17209] 1 2 2 1 2 2 1 2 2 1 2 1 1 2 1 1 1 1 1 1 2 1 1 2 1 2 2 1 2 2 1 1 1 1 1 1
## [17245] 1 1 2 1 1 1 2 1 2 1 1 2 2 2 2 2 1 2 2 2 2 1 1 1 1 1 2 2 1 2 1 1 2 2 1 2
## [17281] 2 1 1 1 1 2 2 2 1 2 2 2 2 2 1 2 1 2 1 1 2 2 1 2 1 2 2 2 2 2 2 1 2 2 2 2
## [17317] 2 2 1 2 1 2 1 2 1 2 1 1 2 1 2 2 1 2 1 2 1 1 1 1 2 2 2 2 2 1 2 2 2 1 2 2
## [17353] 1 1 1 2 2 2 1 2 1 2 2 2 1 2 2 2 1 2 1 1 1 1 1 2 2 1 2 1 2 1 2 2 2 2 1 2
## [17389] 2 2 2 1 2 2 1 1 2 2 2 2 1 1 2 2 1 2 2 2 1 2 2 1 2 1 1 2 2 2 2 2 1 2 2 2
## [17425] 2 1 1 2 1 2 1 1 1 1 2 1 1 2 2 1 1 2 2 2 2 1 1 2 2 1 2 1 2 2 2 2 2 2 2 1
## [17461] 2 2 1 2 1 1 1 2 1 2 2 1 2 2 1 1 2 2 2 2 1 1 2 2 1 2 1 2 1 1 1 2 2 2 1 2
## [17497] 2 1 1 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 2 1 2 2 1 1 2 2 2 1 1
## [17533] 1 1 2 2 1 2 1 1 1 1 1 1 1 2 1 1 2 2 2 1 2 2 2 2 1 1 2 2 1 1 1 2 1 2 2 1
## [17569] 2 2 1 1 2 2 1 2 2 1 1 2 2 2 1 2 1 2 1 1 2 1 1 2 2 1 1 2 2 2 2 2 1 1 1 2
## [17605] 1 2 1 1 1 1 2 2 2 1 2 2 2 1 2 1 2 1 1 1 2 2 1 1 1 2 1 2 2 2 1 2 2 1 1 1
## [17641] 1 2 2 2 1 2 2 2 1 1 1 2 2 2 2 1 2 1 1 1 1 1 1 2 1 2 1 2 1 1 2 1 1 1 2 2
## [17677] 1 2 2 1 1 2 2 1 1 2 2 1 1 2 2 2 2 1 1 1 1 2 1 1 1 1 2 2 2 2 1 1 1 1 1 1
## [17713] 2 2 2 2 2 1 2 2 1 1 1 1 2 1 1 1 2 2 2 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2
## [17749] 2 2 1 2 1 1 2 1 1 1 1 1 2 2 2 2 1 2 2 1 1 2 1 2 2 2 2 2 1 2 2 2 2 1 2 2
## [17785] 1 2 2 1 1 2 2 2 1 2 1 1 2 1 2 2 1 2 2 1 2 1 2 1 1 2 2 1 1 1 1 2 1 2 1 2
## [17821] 2 2 2 2 1 1 2 1 2 1 1 2 1 2 1 1 2 2 2 1 1 1 2 1 2 1 2 2 1 2 2 1 2 2 1 2
## [17857] 2 2 2 1 1 2 2 2 2 1 1 2 2 2 1 2 2 2 2 2 1 2 2 2 1 1 2 2 1 1 1 1 1 2 2 2
## [17893] 1 1 1 2 2 2 2 2 1 2 2 1 1 2 2 2 1 1 1 1 2 2 1 1 2 2 2 1 2 2 1 2 2 1 1 1
## [17929] 1 1 2 2 2 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 1 1 2 2 1 1 1 2 1 1 1 2 2 2 2 2
## [17965] 1 2 2 2 2 2 2 1 2 2 1 1 1 2 1 2 2 2 2 1 2 2 1 1 1 1 1 2 2 2 1 2 1 2 1 1
## [18001] 1 2 2 2 2 2 2 2 1 2 2 1 2 2 1 2 1 1 1 2 2 2 2 1 2 2 2 2 1 1 1 2 2 1 2 1
## [18037] 2 2 2 1 2 2 1 1 2 2 2 2 1 2 1 2 1 1 1 2 1 1 2 2 1 1 2 1 1 2 1 1 2 1 2 2
## [18073] 1 2 1 2 2 2 1 1 1 1 2 2 1 1 2 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 1 1 1 2 2 2
## [18109] 2 2 2 2 2 2 2 1 2 2 2 1 1 2 2 1 1 2 1 2 1 1 1 2 1 1 2 1 2 2 1 1 2 2 1 2
## [18145] 2 2 2 2 1 1 2 2 1 1 2 1 2 2 2 2 1 1 1 1 2 2 2 1 1 1 1 2 1 1 2 1 2 1 2 2
## [18181] 2 1 1 1 2 2 1 1 2 2 1 1 1 2 1 2 2 2 2 2 2 2 1 1 2 2 2 1 2 2 1 1 2 1 2 1
## [18217] 2 1 1 1 2 2 2 2 1 1 2 1 2 1 1 2 2 1 2 1 2 1 2 2 2 1 2 1 2 1 1 2 1 2 2 1
## [18253] 2 1 2 1 2 2 2 1 2 1 2 2 2 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2
## [18289] 2 2 1 1 2 1 2 1 1 2 1 1 2 1 1 1 2 1 2 2 2 2 2 2 1 1 2 2 2 1 2 2 2 1 1 1
## [18325] 1 2 2 2 1 1 2 2 1 1 2 2 2 1 2 2 1 2 1 2 1 2 2 2 2 1 2 2 1 1 2 1 1 2 1 2
## [18361] 2 2 1 2 1 2 1 1 1 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 2 2 1 2 2 1
## [18397] 2 2 2 2 1 2 2 1 2 2 1 2 2 2 2 2 2 2 1 2 1 2 2 1 1 2 1 1 2 2 2 2 2 1 2 1
## [18433] 2 2 1 2 1 2 2 2 2 2 1 2 1 2 1 2 2 2 1 2 2 1 1 1 2 2 1 1 1 2 1 1 1 2 1 2
## [18469] 1 1 2 2 2 2 2 1 2 1 1 2 2 2 2 2 1 2 1 1 1 2 1 2 1 2 2 1 2 1 1 2 2 1 1 1
## [18505] 2 2 2 1 2 2 2 2 1 2 1 2 1 1 2 1 2 1 1 1 1 1 1 1 1 2 1 1 2 2 1 2 1 1 2 2
## [18541] 2 2 1 2 2 1 1 1 2 1 2 2 2 2 1 1 2 1 1 2 2 2 2 2 2 2 1 2 1 1 2 2 1 1 1 2
## [18577] 2 2 1 1 2 1 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 1 1 2 1 2 1 2 2 2 2 2 2 2 2 1
## [18613] 2 1 2 1 2 2 1 1 1 2 1 2 2 1 2 2 2 1 1 1 1 2 2 2 2 1 2 2 2 2 2 2 2 1 1 1
## [18649] 2 2 1 1 2 2 1 1 1 2 1 2 2 2 2 1 1 2 2 2 2 1 1 2 1 2 2 1 1 1 1 2 1 1 2 1
## [18685] 1 1 1 1 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 1 2 1 1 2 1 2 1 2 1 1 1 2
## [18721] 2 1 2 2 2 2 1 2 1 1 2 1 2 2 1 1 2 2 2 1 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1
## [18757] 1 1 1 1 1 2 2 2 2 1 1 1 2 2 1 2 2 1 1 1 1 2 1 2 1 1 2 1 2 1 1 2 2 2 2 1
## [18793] 1 1 1 2 1 2 1 1 1 1 1 1 2 1 2 2 2 1 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 1 2 1
## [18829] 2 1 2 2 1 2 2 2 1 2 2 1 2 2 2 2 1 1 1 2 2 1 2 1 1 2 2 1 2 1 1 1 1 1 2 1
## [18865] 1 2 2 2 1 2 2 2 2 1 2 2 1 2 1 2 2 2 1 1 2 1 2 2 2 1 1 1 2 1 1 2 1 1 1 2
## [18901] 1 2 2 1 2 2 2 1 2 1 2 1 1 2 1 2 2 1 2 2 2 2 2 2 2 1 1 2 2 2 1 1 2 1 2 1
## [18937] 1 2 2 1 2 2 2 2 2 2 2 1 2 2 1 1 1 1 1 1 1 2 1 2 2 1 2 2 1 2 1 1 2 2 2 2
## [18973] 2 2 1 1 2 1 2 2 1 1 2 1 1 2 2 1 1 2 2 2 2 2 1 2 2 2 1 2 2 2 2 1 1 2 2 2
## [19009] 1 1 2 2 2 1 2 2 1 1 2 2 2 2 1 2 1 2 1 1 2 1 2 2 2 2 1 1 1 2 2 1 1 2 2 2
## [19045] 1 2 1 1 2 2 1 2 2 1 1 1 2 2 2 2 2 2 1 2 2 2 2 2 1 2 1 2 2 2 1 1 2 2 2 2
## [19081] 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 1 1 1 2 2 2 2 1 1 2 2 1 1 2 1 2 2 2 2 2 2
## [19117] 2 2 1 1 2 1 2 1 2 1 1 1 1 2 1 2 2 2 1 2 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 1
## [19153] 2 2 1 2 2 2 2 1 2 2 2 1 2 2 1 2 1 2 1 1 2 2 2 2 2 1 2 1 2 2 2 2 1 2 1 1
## [19189] 1 1 2 2 2 2 2 1 2 1 1 1 2 1 2 1 1 2 2 2 2 1 2 2 2 1 1 2 1 2 2 2 1 1 1 2
## [19225] 1 1 2 2 2 2 2 1 2 2 2 2 2 2 1 2 1 2 2 2 1 1 2 2 2 2 2 1 1 2 2 2 1 1 2 2
## [19261] 2 1 2 2 2 1 2 1 2 2 2 2 1 2 1 1 1 2 2 1 1 1 2 2 1 2 1 1 2 2 1 1 2 1 1 1
## [19297] 1 1 2 2 2 1 2 1 1 1 2 2 2 2 2 1 2 2 1 2 2 2 2 1 1 1 2 2 2 2 2 1 2 1 1 2
## [19333] 1 2 2 2 2 1 2 1 1 2 1 1 1 1 1 1 2 1 1 2 2 1 2 2 2 2 1 1 2 2 2 2 1 2 2 1
## [19369] 1 2 1 1 1 2 2 2 1 1 2 1 2 2 2 1 1 1 1 2 2 2 2 2 1 2 1 2 1 2 1 1 1 2 2 2
## [19405] 2 1 2 2 2 1 1 1 1 1 2 2 1 1 1 2 1 2 2 1 2 1 2 1 1 2 2 2 2 2 1 2 2 2 1 1
## [19441] 2 1 1 1 1 2 2 1 2 2 2 2 2 1 2 1 2 2 1 2 2 1 2 2 1 2 2 1 1 1 2 1 1 1 2 1
## [19477] 1 1 1 1 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 1 2 1 2 1 2 2 2 2 1 1 1 2 1 1 2 2
## [19513] 2 1 2 1 1 2 1 1 2 2 2 1 2 2 1 2 2 2 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2 1
## [19549] 2 1 1 2 2 2 1 2 1 2 1 2 1 1 2 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 1 2 2 1
## [19585] 2 2 1 1 1 1 2 1 2 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 2 2 2 2 1 2 1 1 1 1 2
## [19621] 2 1 2 2 1 1 2 2 2 1 1 2 2 2 2 2 2 1 2 2 2 2 1 2 1 2 1 2 1 1 1 2 2 2 2 1
## [19657] 2 2 2 2 1 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 1 2 1 2 1 2 1 2 2 1 1 1 1 2 2 1
## [19693] 2 1 2 1 2 1 1 2 1 2 1 1 2 2 2 1 2 1 2 2 2 1 1 1 1 2 2 1 2 2 2 1 2 2 2 1
## [19729] 2 2 1 2 2 2 2 1 1 2 2 1 1 2 1 1 2 2 1 1 1 1 2 2 1 1 1 2 1 1 2 2 2 2 1 2
## [19765] 2 1 1 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 2 1 1 1 1 1 1 2 2 2 1 2 1 1 1 2
## [19801] 2 1 1 2 2 2 2 2 1 2 1 2 1 1 1 1 1 1 1 2 1 2 1 2 2 1 2 1 1 1 2 2 2 2 2 2
## [19837] 1 2 2 2 2 2 2 2 2 1 2 1 1 2 2 1 1 1 2 1 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 1
## [19873] 2 1 1 1 2 1 1 2 2 2 2 1 1 2 2 1 1 2 2 2 1 2 1 1 1 2 2 2 2 2 1 1 2 1 2 1
## [19909] 2 2 2 2 2 1 2 1 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 1 2 1 2 2 2 2 1 2
## [19945] 1 1 2 1 1 2 1 1 2 2 1 2 1 1 2 1 1 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1 2 2 2 1
## [19981] 2 1 1 1 2 1 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 1 2 1 2 2 1 1 2 1 1 1
## [20017] 2 2 1 2 2 1 2 1 1 1 2 1 1 1 2 1 2 2 2 2 2 1 1 2 2 2 2 1 1 1 2 2 1 2 2 1
## [20053] 2 2 1 1 2 2 2 2 2 1 1 1 1 2 1 2 1 1 1 2 2 2 2 1 2 2 1 1 2 1 1 2 1 1 2 2
## [20089] 1 2 2 2 1 2 2 1 2 1 2 1 2 2 2 2 2 2 1 1 2 2 1 1 1 1 1 2 1 2 2 1 2 2 1 2
## [20125] 2 1 1 1 2 2 2 1 1 2 2 2 1 2 2 1 2 2 1 1 1 1 1 1 1 2 1 2 1 1 2 1 2 2 2 2
## [20161] 2 2 1 2 1 2 1 1 1 2 1 2 2 1 1 2 1 2 2 2 2 2 1 2 2 2 1 1 2 1 2 2 2 1 1 1
## [20197] 1 1 1 2 2 2 2 2 2 1 2 1 1 1 2 2 2 2 1 2 2 1 2 1 2 1 1 1 1 1 1 1 2 2 2 2
## [20233] 2 2 1 2 1 2 1 1 2 2 1 1 2 2 2 2 1 1 1 2 2 1 2 1 2 1 1 1 2 2 1 1 2 1 1 2
## [20269] 1 1 1 1 2 2 2 1 1 2 1 2 2 2 1 2 1 1 1 2 1 1 2 2 2 2 1 2 2 2 2 2 2 1 2 1
## [20305] 1 2 1 2 1 1 2 1 1 1 1 2 1 2 2 2 2 2 1 2 2 1 2 1 1 2 2 2 1 2 2 1 1 1 2 1
## [20341] 2 2 2 1 1 2 2 1 2 2 1 1 2 1 2 2 2 1 2 2 2 2 2 1 2 1 1 1 2 2 1 1 2 1 1 1
## [20377] 1 2 2 1 2 2 1 2 1 1 1 1 2 2 2 1 2 2 1 2 2 1 2 1 2 2 1 1 1 1 1 2 2 2 2 1
## [20413] 1 2 2 2 2 2 1 1 2 2 1 1 2 2 1 2 1 2 2 2 1 2 1 2 2 1 2 2 2 1 1 1 1 2 2 2
## [20449] 1 2 2 2 2 2 2 1 1 2 1 1 1 2 2 2 1 2 1 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2
## [20485] 2 2 2 2 2 2 2 1 1 1 1 2 2 1 1 2 1 1 1 2 2 1 1 2 2 2 2 1 2 1 1 2 2 2 1 1
## [20521] 2 1 1 1 2 2 2 2 1 1 1 2 1 1 1 2 2 1 2 1 1 1 1 1 2 2 2 2 2 1 2 2 1 2 2 2
## [20557] 1 2 1 1 2 1 2 1 2 2 2 1 1 2 1 2 2 2 2 2 2 1 2 1 2 2 2 1 1 2 2 1 1 2 2 2
## [20593] 1 2 1 2 2 2 2 1 2 1 1 2 2 2 2 1 2 2 2 1 2 2 1 1 2 1 2 1 1 1 2 1 2 2 2 2
## [20629] 1 1 2 2 2 1 2 1 1 1 1 2 1 2 2 2 2 2 1 1 1 1 1 2 1 1 2 2 1 2 2 1 1 2 2 1
## [20665] 2 1 1 1 2 1 2 2 2 2 1 2 1 1 2 2 1 1 1 1 2 1 1 1 1 2 2 2 1 1 1 2 2 2 2 2
## [20701] 1 1 1 2 1 2 2 1 2 2 2 2 1 2 2 1 1 2 2 1 1 1 1 2 2 1 1 1 1 1 1 2 1 1 1 1
## [20737] 1 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 2 2 2 1 2 2 1 2 2 2 2 2 1 2
## [20773] 2 2 1 1 1 1 2 1 1 1 1 1 1 1 2 2 1 1 2 1 1 2 2 2 1 2 2 2 2 2 2 1 2 1 1 2
## [20809] 1 1 1 1 2 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 1 2 2 1 2 2 2 2 2 2 2 2 1 2 1 1
## [20845] 1 2 2 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 2 2 2 2 2 1 1 1 2 1 2 2 2 1 1 2 2 2
## [20881] 2 1 2 2 1 2 2 2 1 2 2 2 1 1 1 2 2 2 1 1 2 2 1 2 1 2 2 1 2 2 1 1 2 2 2 1
## [20917] 2 2 2 2 1 1 2 1 2 1 2 2 2 1 1 1 1 2 2 1 1 2 2 2 2 1 2 2 1 2 1 2 1 2 2 1
## [20953] 2 2 1 1 2 2 1 2 2 1 2 1 1 2 1 2 2 2 2 2 1 2 2 1 2 2 2 1 1 1 2 1 2 1 1 1
## [20989] 2 2 1 2 2 2 1 1 1 2 1 1 1 2 2 2 2 1 2 2 2 1 2 2 2 1 1 2 2 2 2 1 1 2 1 1
## [21025] 1 2 1 2 2 1 1 1 2 2 2 2 2 2 2 1 2 1 2 1 1 2 2 2 2 2 1 1 2 2 1 2 2 1 2 2
## [21061] 2 1 1 1 2 2 2 2 2 1 1 1 1 2 1 1 1 2 2 1 2 1 2 2 2 1 2 2 1 1 1 1 1 2 1 2
## [21097] 1 1 2 1 2 1 2 2 2 2 1 2 2 2 2 1 1 2 2 2 1 2 2 1 2 2 2 1 1 2 1 1 2 1 2 1
## [21133] 2 1 2 2 2 1 2 2 1 1 1 2 2 1 2 2 2 2 1 1 2 2 1 2 2 2 1 2 1 1 1 1 2 1 2 1
## [21169] 1 2 1 2 2 2 1 2 2 1 2 2 2 1 1 2 2 2 1 2 2 1 1 2 1 1 2 2 2 2 2 2 1 2 1 2
## [21205] 1 1 2 1 2 1 2 1 1 2 2 2 2 1 2 2 1 2 2 1 1 1 2 1 1 2 1 1 1 1 2 2 2 1 2 2
## [21241] 2 2 2 2 2 1 2 2 2 2 2 2 2 1 1 1 1 1 2 1 1 2 2 1 2 2 1 2 2 2 2 2 1 1 1 1
## [21277] 1 2 2 2 1 2 2 1 1 2 2 1 2 1 1 2 1 2 2 2 2 2 2 2 1 2 1 2 1 2 1 2 1 2 1 1
## [21313] 2 2 1 2 2 1 1 2 2 2 1 2 1 2 1 1 2 1 2 1 1 1 2 2 2 2 1 1 1 1 2 1 1 2 1 2
## [21349] 2 1 1 2 2 2 1 2 1 1 1 2 1 2 1 1 2 1 2 2 2 1 1 2 1 2 1 2 2 1 1 2 1 1 2 1
## [21385] 2 1 2 1 2 2 2 2 1 2 1 1 1 1 2 2 1 1 2 1 2 2 2 1 1 2 1 2 1 1 1 2 2 2 1 1
## [21421] 1 2 1 2 1 2 2 2 1 1 1 2 2 1 2 1 1 2 2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 1 1
## [21457] 1 1 1 2 1 1 2 2 2 1 1 2 1 2 2 2 2 2 1 2 1 2 1 2 1 2 2 2 2 2 1 1 2 2 1 2
## [21493] 1 2 2 1 1 2 1 1 2 1 2 1 2 2 2 1 1 2 2 1 2 1 2 2 1 1 2 1 2 1 1 1 2 2 2 1
## [21529] 1 2 2 1 2 2 1 1 1 1 1 2 1 1 2 2 1 1 1 2 2 1 2 2 1 1 1 1 2 1 1 1 2 1 1 2
## [21565] 1 1 2 1 1 1 2 1 2 2 1 1 1 2 1 1 2 2 1 2 1 2 2 2 2 1 2 1 1 2 2 1 2 2 2 2
## [21601] 1 2 2 2 1 1 2 2 1 1 1 1 2 2 2 2 2 1 2 2 1 2 1 2 2 2 2 1 1 1 2 2 1 2 1 2
## [21637] 2 2 1 2 2 2 1 1 2 1 2 1 2 2 1 1 1 2 1 1 2 1 2 2 2 2 1 2 1 1 1 1 2 2 2 2
## [21673] 1 2 2 1 2 2 2 2 1 1 2 1 1 2 1 1 2 2 1 1 2 2 1 1 2 1 2 1 2 2 1 2 2 2 2 2
## [21709] 2 1 2 1 1 1 1 2 1 2 2 1 2 1 1 1 2 1 2 2 2 1 2 2 1 1 1 2 2 1 1 1 2 1 2 1
## [21745] 2 2 2 1 2 2 1 2 2 2 2 2 1 1 2 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 1 1 2
## [21781] 1 2 2 1 1 1 2 1 1 2 1 2 2 2 2 1 2 1 1 2 2 2 1 2 2 1 2 2 1 2 1 1 2 1 2 1
## [21817] 2 2 1 2 2 2 1 2 2 1 1 2 2 1 2 2 1 2 1 2 2 2 1 2 2 1 2 2 2 2 1 2 1 1 2 2
## [21853] 1 2 2 2 1 2 2 1 1 2 1 2 1 2 1 1 2 1 1 1 1 1 1 2 2 1 2 1 1 2 2 1 1 1 2 2
## [21889] 1 2 2 1 2 2 2 1 1 2 1 2 1 1 1 2 2 1 2 2 1 1 1 1 1 1 2 1 1 1 2 2 1 2 1 1
## [21925] 1 2 2 2 1 1 1 2 2 2 2 1 1 1 1 1 2 1 1 1 2 2 2 1 2 1 2 2 2 2 2 2 1 2 2 2
## [21961] 2 1 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 1 1 1 1 1 2 1 2 2 1 2 2 2 1 1
## [21997] 2 1 2 2 2 1 2 2 2 2 2 1 1 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 1 1 2 2 2 2 1 2
## [22033] 1 2 1 2 1 1 1 2 1 2 2 1 2 1 1 1 2 1 2 1 2 2 2 1 1 2 2 2 1 2 1 1 2 1 2 1
## [22069] 2 1 1 1 2 1 2 2 2 2 1 2 1 1 1 1 1 2 1 2 2 1 2 1 1 1 2 2 1 2 2 1 1 2 2 1
## [22105] 1 2 1 2 1 2 2 1 1 2 2 2 1 2 2 1 1 1 1 2 2 2 2 2 1 2 2 1 2 1 1 2 2 2 1 2
## [22141] 2 2 1 1 1 2 2 2 1 1 2 1 1 1 1 2 1 1 2 2 2 2 1 2 1 1 1 1 2 1 2 2 2 1 2 2
## [22177] 2 1 2 1 1 1 1 1 2 1 1 1 2 1 1 1 1 2 2 2 2 2 1 2 2 1 2 1 1 1 2 1 2 1 2 2
## [22213] 1 1 2 2 1 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 1 1 2 2 1 2 1 2 2 1 1 2 2 1 2 1
## [22249] 2 2 2 2 2 2 2 2 2 1 1 2 1 2 1 2 2 1 1 2 2 2 1 1 1 2 1 2 1 2 2 2 1 2 2 2
## [22285] 1 1 2 1 2 1 2 2 2 2 1 2 2 2 1 1 1 1 2 2 2 1 1 2 2 1 2 2 1 2 2 1 2 1 1 2
## [22321] 2 1 1 1 2 1 2 2 1 1 2 2 1 2 1 1 1 1 2 2 1 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1
## [22357] 1 2 1 2 2 1 2 1 2 2 2 2 2 1 2 2 1 1 1 2 2 1 2 1 2 1 2 1 2 2 2 1 1 1 2 2
## [22393] 2 1 1 2 2 1 2 1 1 1 2 1 2 2 1 2 2 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 1 1
## [22429] 2 2 2 2 2 2 2 1 2 1 1 2 1 1 2 2 2 2 2 1 2 1 1 2 1 1 1 1 1 2 2 1 1 1 1 1
## [22465] 1 2 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 2 2 2 2 1 1 2 2 1 2 2 1 1 2 2 2 2 2
## [22501] 1 2 2 2 1 1 1 1 2 2 2 2 2 2 1 1 1 2 2 2 2 1 2 2 1 2 1 2 2 1 2 1 2 1 2 2
## [22537] 2 1 1 2 2 1 2 2 1 1 1 2 1 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 2 2 2 2 1 1 2 2
## [22573] 1 1 2 1 2 1 2 2 2 2 1 1 1 2 1 2 2 2 1 2 1 1 1 2 1 2 2 1 2 2 1 1 1 2 2 1
## [22609] 1 2 2 1 2 1 1 1 1 1 1 1 1 1 2 2 2 1 2 2 1 2 1 1 2 2 2 2 1 2 1 2 1 2 2 1
## [22645] 2 2 1 1 2 2 2 1 1 2 1 1 2 1 2 2 1 2 2 1 1 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2
## [22681] 2 2 1 2 1 2 1 2 2 2 2 1 1 1 2 1 1 2 2 2 2 1 2 2 2 2 1 1 1 2 2 1 1 2 1 2
## [22717] 2 1 1 2 2 2 1 1 1 1 2 1 1 1 1 2 2 1 1 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 1 2
## [22753] 1 2 1 2 2 2 1 1 1 1 1 2 2 1 2 2 1 2 2 2 2 1 2 2 2 2 1 2 1 1 1 1 2 2 2 1
## [22789] 2 1 1 2 1 2 1 2 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 1 1 1 2 1 2 2 1 2 2 1 1 2
## [22825] 1 2 2 2 1 1 1 2 2 2 1 2 1 2 1 2 2 1 1 2 2 2 2 2 1 1 2 2 2 1 2 2 1 2 2 1
## [22861] 2 1 1 2 1 2 2 2 1 1 1 1 2 2 1 2 1 1 2 1 1 2 2 2 1 2 2 2 2 2 1 2 1 2 2 2
## [22897] 2 2 2 2 1 2 2 1 1 1 1 1 2 2 2 1 1 1 1 2 1 2 1 1 1 2 1 1 2 1 2 2 1 1 2 1
## [22933] 2 2 2 1 1 2 1 1 2 1 2 2 2 2 2 2 1 2 2 1 1 2 1 1 1 2 2 2 2 2 2 1 2 2 2 1
## [22969] 1 2 2 2 1 1 2 2 1 2 1 2 1 1 1 2 2 2 2 1 2 1 2 1 2 2 2 2 1 2 2 1 2 1 1 1
## [23005] 1 2 1 2 2 1 1 1 1 1 2 2 2 1 2 1 2 1 2 2 2 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2
## [23041] 2 1 2 1 2 2 1 2 1 1 2 1 2 2 1 2 2 1 2 2 2 2 2 2 1 2 2 2 1 2 2 1 2 2 1 1
## [23077] 2 1 2 2 1 1 2 2 1 1 2 2 1 1 2 1 2 2 2 1 1 1 1 2 1 1 1 2 1 1 2 2 2 1 2 2
## [23113] 2 2 2 2 2 2 1 2 1 1 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 2 2 1 2 1 2 1 1 1 1 1
## [23149] 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 1 2 2 2 2 2 1 1 2 1 2 1 2 1 2 1 2 2 2 2 2
## [23185] 2 1 2 1 2 1 2 1 2 1 2 2 2 1 2 1 2 1 2 2 2 1 2 2 1 2 1 1 1 1 1 2 1 1 1 1
## [23221] 2 2 1 2 2 2 1 2 1 2 2 2 2 1 1 1 1 2 2 1 2 1 2 1 2 2 1 2 1 1 1 1 2 1 2 2
## [23257] 1 1 2 2 1 2 2 2 2 2 1 1 2 2 1 1 2 2 2 1 2 2 1 1 1 2 2 1 1 2 1 1 2 2 1 2
## [23293] 2 1 2 2 1 1 2 2 2 2 2 2 1 2 2 2 1 2 1 2 2 2 2 1 2 1 1 2 1 2 2 2 2 1 1 2
## [23329] 1 2 1 2 2 1 1 2 2 1 1 2 1 1 2 1 1 1 2 1 1 2 2 2 1 1 2 1 2 2 2 1 2 2 1 2
## [23365] 2 2 1 2 2 1 2 2 2 1 1 2 2 1 1 2 1 1 2 1 2 2 1 1 2 2 2 2 2 1 1 1 2 1 1 1
## [23401] 2 2 1 2 2 2 2 1 1 1 2 1 2 2 1 2 2 1 2 1 1 1 2 1 1 2 2 1 1 2 2 2 2 1 1 2
## [23437] 1 2 1 1 2 1 1 2 1 1 2 2 1 1 2 1 2 2 2 2 2 1 2 1 2 2 1 2 1 1 2 2 1 2 2 1
## [23473] 2 2 1 1 2 2 1 2 1 2 1 2 2 2 2 1 1 1 1 1 1 2 1 1 2 2 2 1 1 1 1 1 2 2 2 1
## [23509] 2 1 1 1 1 1 2 1 2 1 1 2 2 2 2 2 2 1 1 1 2 2 1 1 1 1 1 1 1 2 2 1 1 2 2 1
## [23545] 2 1 2 2 1 1 2 2 2 1 2 1 2 2 2 1 2 1 1 1 2 1 1 2 1 1 2 2 2 2 2 1 2 2 2 1
## [23581] 2 1 1 1 2 2 2 1 2 2 1 2 2 2 2 1 1 1 2 2 2 1 2 2 2 1 2 1 1 2 1 2 2 1 2 1
## [23617] 1 2 2 1 2 1 2 1 1 2 1 1 2 1 2 1 2 2 2 2 2 1 1 2 2 1 1 2 2 1 1 2 2 1 2 2
## [23653] 2 1 2 1 2 2 1 1 2 1 1 2 1 2 1 2 2 1 2 1 1 1 2 2 2 2 2 2 1 2 2 1 2 1 2 1
## [23689] 1 1 2 1 1 2 2 2 1 1 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 1 1 2 2 2 1 1 1 2 2
## [23725] 1 2 1 2 2 2 2 2 2 1 2 1 1 1 1 2 1 2 1 1 2 1 2 1 1 1 1 1 1 2 1 2 2 1 1 2
## [23761] 1 2 1 2 1 1 2 2 1 2 2 1 2 2 2 2 1 1 2 2 2 1 1 2 2 2 2 1 1 2 1 2 1 1 1 1
## [23797] 1 2 1 2 1 1 2 2 1 2 1 2 1 2 2 2 1 1 1 1 1 1 1 2 2 2 2 1 1 2 1 2 2 2 1 1
## [23833] 1 2 1 1 1 1 1 2 1 2 1 2 2 1 2 1 2 2 1 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1
## [23869] 2 2 1 2 2 1 2 1 1 1 1 1 1 2 1 1 2 1 2 2 1 1 2 2 2 2 1 1 1 1 1 2 1 2 1 2
## [23905] 1 2 1 1 2 2 2 2 1 1 2 2 2 2 1 1 2 1 1 2 2 2 1 2 1 1 1 1 1 2 1 1 1 1 2 1
## [23941] 1 1 2 2 2 2 2 1 1 2 1 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 2 2 1 1 1 2 2 2 2
## [23977] 1 1 2 2 1 2 2 1 1 2 1 2 1 1 2 2 1 2 1 2 1 1 1 2 2 1 1 2 1 2 2 2 1 2 2 1
## [24013] 2 2 2 1 1 1 1 2 2 1 1 2 2 1 2 2 1 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 1 1 1
## [24049] 1 1 2 2 1 2 1 2 1 2 2 2 1 1 1 1 2 1 2 1 1 1 2 1 1 1 1 2 2 1 2 2 2 2 1 2
## [24085] 2 2 1 1 2 1 2 1 1 2 1 2 1 1 2 1 1 1 2 2 2 2 2 2 1 1 2 1 1 1 1 2 2 1 1 2
## [24121] 2 2 2 2 1 2 1 1 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 2 1 2 2 1 1 1 2 1 2 2 2 2
## [24157] 1 2 1 2 2 2 2 2 1 1 2 2 2 2 1 2 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 2 1 2 2 1
## [24193] 1 2 2 1 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 2 1 2 2 2 1 2 1 2 1 2 2 1 1 1 2 2
## [24229] 1 2 1 1 1 2 1 2 1 1 2 1 2 1 2 2 1 2 1 1 1 1 1 1 1 2 2 2 2 2 1 2 2 1 2 2
## [24265] 2 1 1 1 1 1 2 2 1 1 2 2 1 1 2 2 1 1 2 2 2 2 1 2 2 1 1 1 1 1 1 2 2 1 1 2
## [24301] 1 2 1 1 1 2 2 1 2 2 1 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 2 2 2 2 1 1 2 1 2 2
## [24337] 2 1 2 1 2 1 1 1 1 2 1 2 1 2 1 1 1 1 2 1 2 1 2 2 1 1 2 2 1 2 1 2 1 1 2 2
## [24373] 2 1 2 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 2 2 1 1 1 2 1 2 2 1 1 2 2 1 2 1 2
## [24409] 1 2 2 2 1 2 1 1 1 1 2 2 2 2 1 1 1 1 2 1 2 1 2 2 2 2 2 2 2 1 2 2 2 1 1 2
## [24445] 2 2 2 2 1 1 2 2 2 2 2 2 2 1 1 1 2 1 1 2 2 2 2 2 1 1 2 2 2 2 2 1 2 1 2 2
## [24481] 1 2 2 2 1 2 2 1 2 1 1 1 1 1 1 2 1 1 1 2 2 1 2 1 2 2 2 1 2 1 1 1 1 1 2 1
## [24517] 1 2 1 2 2 1 1 2 1 1 1 2 1 1 1 1 2 1 1 2 2 2 1 1 2 2 1 1 1 2 1 2 2 2 1 2
## [24553] 1 2 2 1 1 1 1 2 1 2 2 2 1 2 1 1 1 1 2 2 2 1 1 1 1 2 2 2 2 1 1 2 1 1 2 2
## [24589] 2 2 2 1 2 2 1 1 1 2 1 1 1 2 2 2 2 1 2 1 2 1 2 1 2 2 1 2 2 1 2 1 1 1 2 2
## [24625] 1 1 2 1 1 1 2 2 2 1 2 1 2 2 2 1 2 1 1 1 2 2 2 2 1 2 2 2 1 2 1 2 1 1 2 1
## [24661] 2 1 1 2 1 1 2 2 1 2 2 1 1 2 2 2 2 2 2 2 2 1 1 1 2 2 1 2 2 2 1 1 1 2 2 1
## [24697] 2 1 2 2 1 1 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 1 2 2 2 1 1 1 1 2 2 1
## [24733] 2 2 2 2 2 1 2 1 1 1 2 1 1 1 2 1 2 2 2 1 2 2 2 2 2 2 2 1 2 1 2 2 2 1 2 1
## [24769] 1 1 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 2 2 1 1 2 1 2 2 1 1 1
## [24805] 2 1 1 1 2 2 1 2 2 1 1 2 2 2 2 2 2 1 1 2 1 2 1 2 1 2 2 1 1 2 2 1 2 1 2 2
## [24841] 2 1 2 2 2 1 1 2 2 2 2 1 2 1 1 2 2 1 1 2 2 1 2 2 2 1 2 2 2 2 2 2 2 1 2 1
## [24877] 1 1 1 2 2 2 1 2 2 1 2 2 1 2 2 1 1 1 2 2 2 1 1 2 2 2 2 2 2 1 2 2 1 2 1 1
## [24913] 1 2 2 1 1 2 2 2 1 2 1 2 1 2 2 2 2 2 1 1 2 1 2 2 1 1 2 1 2 2 2 2 1 2 2 1
## [24949] 2 1 2 2 1 2 2 2 1 1 1 2 1 2 2 2 1 2 2 2 2 1 1 2 2 1 1 1 1 1 1 2 2 2 2 1
## [24985] 2 1 2 2 1 1 1 2 2 2 2 2 2 1 2 2 1 1 1 2 2 2 1 2 1 1 1 1 1 2 1 1 2 2 2 1
## [25021] 2 1 2 1 2 1 2 1 2 2 1 1 2 2 1 2 2 1 2 2 2 2 1 1 1 1 2 2 1 1 2 2 2 1 1 2
## [25057] 1 1 1 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 1 2 2 2 1 2 1 2 2 2 1 2
## [25093] 2 2 1 1 1 2 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 2 1 1 1 1 2 1 2 2 2
## [25129] 2 1 1 2 1 1 1 2 2 1 1 1 1 2 2 2 2 1 2 1 2 2 1 1 1 1 2 2 2 2 1 2 1 2 1 1
## [25165] 2 1 2 2 1 2 1 1 1 1 2 1 2 2 2 1 1 1 1 2 2 1 2 2 1 1 1 1 2 2 1 2 1 1 2 2
## [25201] 2 1 2 1 2 2 2 2 1 1 1 2 2 2 2 1 2 2 2 1 2 2 2 2 2 1 2 1 2 2 2 2 1 2 2 1
## [25237] 2 2 2 1 2 1 1 2 2 2 2 2 1 1 2 1 2 2 1 1 2 2 1 1 1 1 2 2 2 1 1 2 1 2 2 2
## [25273] 2 2 2 2 1 2 2 1 2 2 2 2 1 1 1 1 1 2 1 2 2 1 1 1 2 2 1 2 2 1 2 1 2 1 1 1
## [25309] 2 2 2 1 1 2 2 2 1 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 1 1 1 1
## [25345] 1 1 2 1 1 1 1 2 2 1 1 2 2 1 2 2 2 1 1 2 2 2 2 1 2 1 1 2 2 1 1 1 2 2 1 2
## [25381] 2 1 1 2 1 1 2 2 1 1 1 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 1 1 1 1 2 1 2 1
## [25417] 2 2 1 1 1 1 2 2 1 1 2 2 2 1 1 1 2 1 2 2 1 1 2 1 2 2 2 1 2 2 2 2 2 2 2 2
## [25453] 2 2 2 2 2 1 1 2 2 1 1 2 1 1 1 2 2 1 1 2 2 2 1 2 2 2 1 1 1 1 2 1 1 2 1 2
## [25489] 1 2 2 2 2 2 1 2 2 2 2 2 2 2 1 2 2 2 2 1 1 2 1 1 1 2 1 1 2 2 2 1 2 1 2 2
## [25525] 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 1 2 1 2 2 2 1 1 1 1 2 1 2 2 2 1 2 1
## [25561] 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 1 2 2 1 1 2 1 2 1 2 2 2 2 1 1 1 1 2 2 2 2
## [25597] 2 1 2 1 1 2 1 2 1 1 2 2 1 2 1 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 2 2 2 2 2 1
## [25633] 1 1 1 2 1 1 1 1 1 2 2 2 1 2 2 1 1 2 2 2 1 1 1 2 2 2 2 2 1 2 1 1 2 2 1 1
## [25669] 2 2 1 1 2 2 1 1 1 2 1 1 1 2 2 1 2 2 2 1 2 1 1 2 1 1 1 2 2 1 2 2 2 2 2 2
## [25705] 2 1 1 1 1 1 1 2 1 1 2 1 2 2 1 2 2 2 1 1 1 1 1 1 2 2 2 2 1 1 1 2 1 2 2 1
## [25741] 1 2 1 1 2 2 2 2 2 1 2 1 1 2 2 2 2 1 2 1 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1
## [25777] 2 1 2 2 1 1 2 2 2 2 1 2 2 2 1 1 2 2 2 1 1 2 2 1 2 2 2 1 1 2 2 2 2 1 1 2
## [25813] 2 2 1 2 2 1 1 2 2 2 2 1 1 2 2 2 2 2 2 1 2 2 1 1 2 2 2 2 1 2 2 1 2 1 2 1
## [25849] 1 2 2 1 1 1 2 2 2 2 1 1 2 2 2 2 1 1 2 1 2 2 1 2 2 2 2 2 1 1 1 1 1 1 2 1
## [25885] 2 2 1 1 2 1 2 2 1 2 1 2 1 1 1 1 1 1 2 1 2 2 2 1 2 1 1 2 1 1 1 1 1 2 1 1
## [25921] 1 2 2 1 2 1 2 2 1 2 1 2 2 1 1 2 2 2 1 1 2 2 2 1 2 2 1 1 2 2 2 1 2 1 2 1
## [25957] 2 1 2 1 1 1 1 1 2 1 1 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 1 1 2 2 1 1 1 2 1 1
## [25993] 1 1 1 2 1 2 2 2 2 2 1 2 1 1 2 2 2 1 1 2 2 2 2 1 1 1 1 1 2 2 1 1 2 1 2 1
## [26029] 2 2 2 2 2 2 1 2 1 2 2 2 1 1 2 2 1 1 2 1 2 1 1 2 1 2 2 1 2 2 2 2 2 2 2 2
## [26065] 2 2 1 1 2 2 1 1 2 2 2 2 2 2 1 2 1 1 2 1 2 2 2 2 2 1 1 2 1 1 1 1 1 2 1 1
## [26101] 2 2 1 2 2 2 2 1 2 2 1 2 2 1 2 2 2 1 2 1 2 2 2 1 2 1 1 1 1 2 2 2 2 1 1 2
## [26137] 2 1 2 2 2 2 1 1 1 1 2 2 2 2 1 1 2 2 1 1 1 1 2 1 2 1 2 1 2 2 2 1 1 1 2 2
## [26173] 1 1 2 1 2 1 2 2 2 1 1 1 2 2 2 1 2 2 1 2 1 1 1 1 1 2 2 1 2 2 2 1 2 2 1 2
## [26209] 1 2 1 2 1 2 1 1 1 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 2 2 1 1 1 1 1 1 2 2 2 2
## [26245] 2 1 1 2 2 1 1 1 1 1 2 1 2 2 1 2 1 1 2 2 2 1 1 2 1 2 2 2 2 1 2 2 1 1 2 1
## [26281] 2 2 1 2 2 1 2 1 2 2 1 1 2 2 2 1 2 1 2 2 1 2 1 2 1 1 2 1 2 2 1 1 2 1 2 1
## [26317] 1 2 2 2 1 2 1 2 2 2 1 1 2 1 2 1 2 2 2 1 2 2 2 1 1 2 2 1 1 2 2 2 2 2 2 1
## [26353] 2 2 1 2 1 2 2 1 2 2 2 1 1 1 2 1 2 2 2 2 2 2 1 1 2 2 2 2 1 1 2 1 2 1 1 1
## [26389] 2 2 1 1 1 1 2 2 1 2 2 1 1 1 2 1 2 1 2 2 2 2 2 1 2 2 1 2 2 2 1 1 1 1 1 2
## [26425] 2 1 1 1 1 1 2 2 1 2 1 2 2 2 2 2 1 1 1 2 2 2 1 1 2 2 2 1 2 2 2 2 2 1 2 2
## [26461] 2 1 2 1 1 1 2 1 1 2 2 2 1 2 2 2 2 1 2 1 1 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1
## [26497] 2 2 2 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 1 2 2 1 2 2 2
## [26533] 2 1 2 1 2 2 2 1 2 1 2 1 2 2 1 2 1 1 2 1 2 1 2 1 2 1 2 2 2 1 1 1 1 1 2 2
## [26569] 1 2 1 2 1 2 1 1 1 2 2 1 2 1 2 2 1 2 2 1 2 1 1 1 2 2 2 1 2 2 2 2 2 2 2 2
## [26605] 1 2 1 2 1 2 2 1 1 1 2 2 1 2 2 2 2 2 1 2 1 2 2 2 2 2 1 1 2 2 2 2 1 2 2 2
## [26641] 1 1 2 1 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 1 2 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2
## [26677] 2 2 2 2 2 1 2 2 1 2 1 1 2 1 1 2 2 2 2 2 2 1 2 1 2 2 1 2 2 1 2 1 1 1 1 1
## [26713] 2 1 1 2 1 1 1 2 1 2 2 1 2 2 2 1 1 2 1 2 2 1 2 1 1 2 1 1 1 1 2 2 2 2 1 2
## [26749] 1 1 1 1 1 1 1 2 2 2 2 1 2 2 2 1 1 1 2 2 2 1 1 2 2 2 2 1 1 2 1 2 2 2 1 1
## [26785] 2 2 1 2 2 2 1 2 1 1 2 2 1 1 1 1 2 2 1 1 1 1 1 2 2 2 2 1 1 2 2 1 2 1 2 1
## [26821] 1 2 1 2 2 1 2 1 1 1 2 2 2 1 1 2 1 2 2 2 2 1 2 1 2 1 2 1 1 1 2 1 1 2 2 2
## [26857] 1 2 2 2 2 1 2 1 1 2 2 2 2 1 1 2 1 2 2 2 1 1 1 2 1 2 1 2 2 1 1 1 2 1 1 2
## [26893] 2 1 2 2 1 1 2 1 1 1 2 1 2 1 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 1 2 1 2 1 1 2
## [26929] 1 1 2 2 1 2 2 2 2 2 1 1 2 1 1 1 1 2 1 1 2 1 1 1 2 2 2 1 2 1 2 2 2 1 1 1
## [26965] 2 2 2 1 1 2 1 2 2 1 2 1 1 2 1 2 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 1 2 2 2 1
## [27001] 2 2 2 2 1 2 1 2 2 2 2 2 2 2 1 2 2 1 2 2 2 1 2 2 2 2 1 2 2 1 1 2 1 2 1 2
## [27037] 2 2 1 2 1 1 2 1 2 2 2 2 1 2 2 1 1 1 2 1 2 2 1 2 2 2 2 2 2 2 1 2 2 2 2 2
## [27073] 1 2 2 1 2 2 2 2 2 1 1 2 1 1 2 2 1 2 1 2 1 2 2 1 1 2 1 1 1 1 1 2 1 1 2 2
## [27109] 2 1 1 2 2 2 1 2 2 2 1 2 1 2 2 2 1 2 2 1 1 2 2 1 2 1 2 1 2 2 2 2 2 2 1 2
## [27145] 1 2 2 2 2 1 1 2 1 2 1 2 2 2 2 1 2 2 2 2 1 1 1 2 1 1 1 2 1 2 2 2 2 2 1 2
## [27181] 1 2 1 2 2 2 2 2 2 1 2 2 1 2 2 2 2 1 2 1 2 2 2 1 2 1 1 2 2 2 2 2 1 2 2 1
## [27217] 2 2 1 2 1 1 1 2 1 1 1 2 2 2 2 2 2 1 1 2 2 1 2 1 1 2 2 1 2 2 2 2 1 1 2 1
## [27253] 2 2 1 2 2 2 2 2 1 2 2 2 2 1 1 1 2 2 1 2 2 1 2 2 2 1 1 2 2 1 1 2 1 2 1 1
## [27289] 1 1 1 2 2 1 1 1 2 1 2 2 2 1 1 2 2 2 2 1 2 1 2 2 2 2 2 2 1 1 2 2 2 2 1 2
## [27325] 2 1 1 2 2 1 2 2 1 2 2 2 2 1 2 2 2 2 2 1 2 2 1 1 1 1 1 2 2 2 2 1 2 2 2 1
## [27361] 1 2 2 1 1 2 1 1 1 2 1 2 1 2 2 1 2 2 1 1 2 1 2 1 2 2 2 1 2 2 2 1 2 1 2 1
## [27397] 2 2 1 1 2 1 2 1 1 2 1 1 2 1 2 1 2 2 2 1 2 2 2 2 2 1 1 2 1 1 2 1 1 2 2 1
## [27433] 2 2 1 2 2 2 2 1 1 1 1 1 1 1 2 2 1 2 1 1 2 2 2 1 2 2 2 2 1 2 2 2 2 1 2 2
## [27469] 2 2 1 1 2 1 2 2 2 1 1 2 1 2 2 2 2 2 1 2 2 2 1 2 1 2 2 1 1 2 1 1 2 1 1 2
## [27505] 2 1 1 2 2 1 2 1 2 2 2 2 1 2 2 2 2 2 1 1 1 1 2 1 2 2 2 1 2 2 1 1 1 1 2 2
## [27541] 2 2 1 2 2 2 2 2 1 1 1 1 2 2 1 1 2 1 1 2 2 2 2 2 2 1 1 2 1 2 2 2 2 1 1 1
## [27577] 2 1 2 1 1 2 2 2 2 1 2 1 1 1 2 1 1 2 1 1 2 1 2 2 2 1 1 1 2 2 1 2 2 2 2 2
## [27613] 2 1 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 2 1 2 2 2 1 2 1 2 2 1 2 2 1 1 2 1
## [27649] 1 2 2 1 1 2 2 2 1 2 1 2 2 1 2 2 1 1 2 2 2 1 2 2 2 1 2 2 1 2 1 1 1 1 2 1
## [27685] 2 2 1 2 1 2 1 1 2 2 1 1 2 2 2 1 2 1 2 1 1 1 2 1 1 2 2 2 1 2 1 2 1 2 2 2
## [27721] 2 2 2 1 1 2 2 2 2 1 1 1 2 1 2 2 1 2 2 1 1 2 1 1 2 2 1 1 2 1 2 2 1 1 2 2
## [27757] 2 2 1 2 2 2 1 1 2 1 2 1 2 1 2 1 2 2 1 2 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1
## [27793] 2 2 1 1 2 1 2 2 1 1 1 2 2 1 2 1 2 2 2 1 1 1 1 1 2 1 2 1 1 2 1 2 1 2 2 2
## [27829] 1 2 1 2 2 2 1 1 1 2 1 1 2 1 2 1 1 2 2 2 1 1 1 2 1 2 1 1 2 1 1 1 2 1 2 1
## [27865] 1 2 2 1 1 1 2 1 1 2 1 2 1 1 2 2 1 2 2 1 2 1 2 2 1 1 1 1 2 2 1 1 1 1 1 2
## [27901] 2 2 1 1 1 2 2 1 1 1 1 1 2 1 2 1 1 2 2 2 1 1 2 2 2 1 1 1 2 2 1 2 1 2 1 1
## [27937] 2 2 2 2 2 1 1 1 2 1 1 2 2 2 1 2 2 2 2 1 2 1 1 2 1 1 2 2 2 1 2 2 1 2 2 2
## [27973] 2 1 1 2 1 2 2 2 1 1 1 1 1 2 1 2 2 2 1 2 2 1 2 1 2 2 2 2 2 1 2 1 1 1 2 2
## [28009] 2 2 2 1 2 1 1 2 2 1 2 1 2 2 1 1 2 2 2 1 2 2 1 2 1 1 1 1 2 1 2 2 2 2 1 2
## [28045] 2 1 1 2 2 2 2 2 1 1 1 1 2 2 1 2 2 1 2 1 1 2 1 2 2 2 1 1 2 1 2 2 1 1 2 2
## [28081] 1 1 2 1 1 2 2 2 2 2 1 2 2 2 1 1 2 1 1 2 1 2 1 2 1 2 2 1 1 1 1 2 1 1 1 2
## [28117] 1 2 1 2 1 1 2 2 2 1 1 2 1 2 2 2 1 2 1 1 1 2 1 1 2 2 1 1 1 2 2 1 1 2 2 2
## [28153] 1 2 2 2 2 2 1 2 2 1 1 1 2 1 1 2 2 1 1 1 2 2 1 1 1 1 1 2 2 2 1 2 2 2 2 2
## [28189] 1 1 2 2 2 1 1 2 1 2 1 1 2 2 2 2 2 2 2 2 2 2 1 2 2 1 2 2 1 1 2 2 2 1 2 2
## [28225] 1 2 1 1 2 2 1 2 2 2 2 2 1 2 1 2 1 1 2 2 2 1 2 1 1 1 2 1 1 2 2 1 2 2 1 1
## [28261] 1 2 2 2 2 1 2 1 1 1 1 2 2 2 2 2 2 1 2 2 1 2 1 2 1 2 2 1 1 2 2 2 1 1 2 2
## [28297] 1 1 2 1 1 2 2 2 2 1 2 1 1 1 2 1 2 1 2 2 1 2 1 1 2 2 2 1 2 1 2 2 2 2 2 2
## [28333] 2 2 1 1 1 1 1 2 1 1 2 2 2 1 1 2 2 1 2 2 1 1 2 1 2 1 2 2 2 2 2 1 2 2 2 2
## [28369] 1 1 2 2 1 1 2 2 1 1 2 1 1 1 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 1 2
## [28405] 2 2 1 1 2 1 2 2 2 1 2 2 2 2 1 2 1 1 1 1 2 2 2 1 1 2 2 1 2 2 1 1 1 2 2 1
## [28441] 1 1 2 1 1 1 2 1 2 2 2 1 1 1 2 1 1 2 1 1 2 1 2 2 1 2 2 2 2 2 1 2 2 2 1 2
## [28477] 2 1 2 2 2 2 2 1 2 1 2 1 2 2 1 1 2 2 2 1 2 1 1 1 1 2 2 1 2 2 1 2 1 2 1 1
## [28513] 1 2 2 2 1 2 2 1 2 2 2 1 1 1 2 2 2 2 2 1 2 2 2 1 2 1 2 1 2 2 2 2 1 1 1 2
## [28549] 1 2 1 2 2 1 2 1 2 2 2 2 2 2 2 1 2 1 2 2 1 2 1 1 2 1 1 1 2 1 1 1 2 1 2 1
## [28585] 2 2 2 1 2 2 2 1 1 2 1 1 2 1 2 2 1 2 1 2 1 1 1 2 2 1 2 2 1 1 2 1 2 1 2 2
## [28621] 2 1 2 1 1 1 2 1 2 1 2 2 2 1 2 2 1 2 2 1 2 2 1 2 2 1 1 2 1 1 1 1 2 1 1 1
## [28657] 1 1 2 1 1 1 2 2 1 2 1 2 1 2 2 1 2 2 2 2 2 1 1 2 1 2 1 2 2 1 2 1 2 1 2 2
## [28693] 1 2 1 2 1 1 1 1 2 1 1 2 2 2 1 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 2 2 2 2 2 2
## [28729] 1 1 2 1 2 1 2 2 1 1 2 2 1 2 2 1 1 2 2 2 2 2 1 1 2 1 1 2 1 2 1 1 1 2 1 2
## [28765] 2 2 1 1 1 1 2 2 2 1 1 1 1 2 2 1 2 1 2 1 2 1 2 1 1 1 2 2 1 1 1 1 2 1 1 2
## [28801] 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 1 1 2 1 1 1 2 2 1 2 2 1 1 2 2 1 2
## [28837] 2 1 2 2 2 1 1 1 2 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 2 2 2 2 2 1 2 2 1 2 2
## [28873] 2 1 2 1 1 1 1 2 1 2 1 2 2 1 2 1 2 1 2 1 1 2 1 2 1 2 2 2 2 2 2 2 2 1 1 1
## [28909] 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 1 2 1 1 2 2 1 2 2 2 2 1 1 1 2 2 2 2 2 2 1
## [28945] 2 1 2 2 2 2 2 1 1 1 1 2 1 2 1 2 2 2 2 2 2 1 1 1 1 2 2 1 1 2 2 2 2 2 2 2
## [28981] 2 1 1 2 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 2 1 2 1 1 1 1 1 1 1 1 2 1 2 2 2 2
## [29017] 1 2 1 2 1 2 2 2 1 1 2 1 2 2 1 1 1 2 1 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 1 1
## [29053] 1 2 1 2 2 2 1 2 2 2 2 2 1 2 1 1 1 2 1 2 1 2 1 1 2 2 2 2 1 2 1 1 2 2 2 1
## [29089] 1 2 2 2 1 1 1 1 1 1 1 2 2 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 1 1 2 1
## [29125] 2 2 2 2 1 1 1 2 1 1 1 1 1 2 1 1 1 2 1 1 1 2 2 1 1 1 2 1 2 2 2 2 2 1 2 2
## [29161] 2 1 2 1 2 1 2 2 2 1 1 2 2 2 2 2 1 2 1 1 2 1 2 2 1 1 2 1 2 1 2 2 2 2 1 2
## [29197] 1 2 1 1 2 1 1 2 2 2 2 1 1 2 2 1 1 1 2 1 2 1 2 2 2 2 2 2 2 2 2 1 1 2 2 1
## [29233] 2 1 2 1 1 1 2 1 1 2 1 1 1 2 2 2 1 1 1 2 2 1 1 1 1 2 1 1 2 1 1 1 1 2 2 1
## [29269] 2 2 2 1 2 1 1 2 2 1 2 2 1 2 2 2 1 2 2 2 2 1 1 2 1 2 2 1 1 2 1 2 1 1 2 1
## [29305] 1 2 1 1 2 1 2 1 2 2 2 2 1 2 2 1 1 2 2 2 1 2 2 2 1 2 1 1 1 1 2 2 2 2 2 2
## [29341] 2 2 1 2 2 2 1 1 1 1 1 2 1 1 1 1 1 2 2 1 1 1 2 2 1 1 2 1 2 1 2 2 2 1 2 2
## [29377] 2 2 1 2 2 2 1 2 1 2 1 2 2 1 2 1 1 1 2 2 1 2 2 1 1 2 2 1 2 1 2 2 1 1 2 2
## [29413] 2 2 1 2 1 1 2 2 2 1 1 2 2 2 2 2 1 2 2 1 2 1 2 1 1 1 1 1 1 1 1 1 2 1 2 2
## [29449] 1 2 1 1 2 1 1 2 1 2 2 2 2 2 1 2 2 1 2 2 2 2 2 2 1 2 2 1 2 2 1 1 1 2 1 1
## [29485] 1 1 2 1 2 2 2 2 2 1 2 1 2 1 1 2 2 2 1 2 2 2 2 2 2 1 2 2 1 1 2 2 1 2 1 1
## [29521] 2 2 1 2 2 1 1 2 1 2 2 1 2 2 2 2 2 2 2 1 2 2 1 2 2 2 2 1 2 1 2 2 2 2 2 1
## [29557] 1 2 2 2 1 1 1 2 1 2 1 2 2 2 1 2 2 1 2 1 2 1 2 1 2 1 2 1 1 2 2 2 2 1 1 1
## [29593] 1 2 1 1 2 2 1 1 2 1 1 2 1 2 2 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 1 2 1 2 2
## [29629] 2 2 2 1 1 2 1 1 1 2 2 2 2 1 2 2 2 1 1 1 2 1 2 2 1 2 2 1 1 2 2 1 1 1 1 1
## [29665] 2 2 2 1 2 1 1 2 1 1 1 2 1 2 1 2 1 2 1 1 2 1 2 1 1 1 2 1 1 2 2 1 1 2 2 1
## [29701] 2 1 1 2 1 2 1 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 1 1 1 2 1 2 2 1 2
## [29737] 2 1 2 1 2 2 1 2 2 1 2 1 2 1 1 1 1 2 2 2 2 2 1 2 1 1 2 1 2 2 2 1 1 1 1 2
## [29773] 2 2 1 1 2 1 1 2 2 2 2 2 1 1 2 2 1 1 2 2 1 1 2 2 1 2 2 1 1 2 2 1 1 1 1 1
## [29809] 2 2 2 1 2 1 1 2 1 2 1 2 1 2 2 2 1 2 2 2 2 2 2 2 1 2 2 1 1 2 2 1 2 1 1 2
## [29845] 2 1 2 2 2 1 1 2 2 1 1 2 1 1 1 1 2 2 2 2 1 1 2 2 2 1 1 2 2 2 2 1 2 2 1 1
## [29881] 2 2 1 1 1 2 2 2 1 1 1 2 2 1 2 2 1 2 2 2 1 2 2 2 2 2 2 1 1 1 2 1 1 2 1 2
## [29917] 2 2 1 1 1 1 1 2 1 1 2 2 1 2 2 1 2 1 1 2 1 1 1 1 1 2 1 2 1 2 2 1 1 1 1 2
## [29953] 2 2 2 2 2 1 1 1 1 2 1 1 2 2 2 2 1 1 2 1 2 1 1 2 1 1 2 2 2 2 1 1 1 2 1 2
## [29989] 1 1 2 1 1 1 2 2 2 2 1 1 1 2 2 2 2 1 2 2 1 2 2 2 2 1 2 1 2 1 2 1 2 1 2 2
## [30025] 2 2 1 1 1 1 1 2 2 1 1 1 2 1 1 2 1 2 1 1 2 2 2 1 1 1 2 2 1 1 2 2 1 1 2 1
## [30061] 2 1 2 2 2 1 2 1 1 1 1 1 1 2 2 2 1 1 2 1 1 2 1 1 1 2 2 2 2 2 2 1 1 1 1 2
## [30097] 1 1 2 2 2 1 2 1 2 1 2 2 2 2 1 2 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 2 2 2 2 1
## [30133] 1 2 2 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 1 2 1 1 2 1 2 2 2 2 2 1 2
## [30169] 2 2 2 1 2 2 1 2 1 1 1 2 1 1 2 2 1 1 2 2 2 2 1 2 1 1 2 1 1 2 1 2 1 1 2 2
## [30205] 2 1 1 1 2 2 1 1 2 1 1 2 1 2 1 2 2 1 1 2 1 2 2 1 1 1 2 1 1 2 1 1 2 1 1 1
## [30241] 1 2 2 1 1 2 1 2 2 2 1 1 1 2 2 2 2 1 1 2 1 1 1 2 2 2 2 2 1 1 1 2 1 2 2 2
## [30277] 2 2 2 2 1 1 1 2 2 1 2 1 1 2 2 1 1 2 2 1 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2
## [30313] 2 2 2 1 2 1 2 2 1 1 1 2 2 1 2 2 2 1 1 1 1 1 2 1 2 1 2 2 1 2 2 1 2 1 1 1
## [30349] 2 2 2 2 2 2 1 1 1 2 1 1 2 2 2 1 2 2 1 1 2 1 2 2 2 1 1 2 2 1 1 1 1 2 1 1
## [30385] 2 2 2 2 1 1 2 1 1 2 2 1 2 1 2 2 1 1 2 2 1 2 2 1 1 1 2 2 2 2 1 1 2 2 1 1
## [30421] 1 2 2 1 1 2 2 1 1 1 1 1 2 1 2 1 1 1 2 2 2 2 2 2 1 1 2 2 1 1 2 1 1 1 1 1
## [30457] 2 2 2 1 2 2 1 2 1 2 2 1 2 2 2 2 1 1 1 2 1 2 2 1 2 1 2 1 1 1 1 1 1 1 2 1
## [30493] 1 2 1 2 2 2 2 2 1 1 2 2 1 2 1 1 1 2 1 2 2 2 2 1 1 2 2 1 1 1 1 2 1 1 1 2
## [30529] 1 2 2 1 2 1 2 2 2 2 2 2 1 2 1 2 2 1 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1 1 1 2
## [30565] 2 2 2 2 1 2 1 2 2 1 1 1 1 2 1 2 2 1 1 2 2 2 2 2 1 2 1 2 2 1 1 1 2 1 2 1
## [30601] 1 1 1 1 1 1 2 2 2 1 2 2 2 2 2 2 1 2 2 2 1 2 1 1 2 1 1 2 2 1 2 2 2 2 1 2
## [30637] 2 1 2 2 2 2 1 1 2 2 2 2 2 2 2 1 2 1 1 2 2 1 2 1 2 1 1 2 2 1 2 2 2 2 1 2
## [30673] 2 1 1 2 2 2 2 2 2 2 1 2 1 1 2 2 1 1 2 2 2 1 2 1 2 2 1 2 2 1 2 2 2 1 2 1
## [30709] 1 2 2 2 1 1 1 2 2 2 1 1 1 2 2 1 2 1 1 2 1 2 2 1 2 2 1 2 1 2 2 1 2 1 1 1
## [30745] 2 2 1 2 1 1 2 1 2 1 2 2 2 1 2 2 1 1 2 1 2 2 1 2 2 1 2 2 1 2 2 1 1 1 1 1
## [30781] 2 1 2 2 2 1 2 1 2 2 2 1 2 2 1 2 1 2 1 1 2 2 1 2 2 2 1 2 2 2 1 1 1 2 2 2
## [30817] 1 1 1 1 2 2 1 2 1 2 2 1 2 2 2 1 1 1 1 1 2 2 2 2 2 1 1 1 2 2 2 1 2 2 1 2
## [30853] 1 1 1 2 2 2 2 2 1 2 1 1 1 1 2 1 2 1 1 1 1 2 1 2 1 1 1 1 1 2 1 1 1 1 1 2
## [30889] 2 1 2 1 1 1 2 1 2 2 2 1 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 2 2
## [30925] 2 2 2 1 2 2 2 2 2 2 1 2 1 1 1 2 2 1 1 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 1
## [30961] 2 2 2 2 2 2 2 2 1 2 1 2 1 1 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1
## [30997] 1 2 1 2 2 1 1 2 2 1 2 2 2 1 1 1 2 2 2 1 1 1 1 2 2 1 1 2 2 2 1 1 1 2 2 2
## [31033] 1 2 1 1 2 1 1 1 2 2 1 1 2 1 2 2 2 2 2 2 1 2 1 1 1 2 2 1 2 1 2 1 2 2 2 2
## [31069] 1 2 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 2 2 2 1 2 2 1 2 2 2 1 1 2 2 2 2 2 2 2
## [31105] 2 1 1 1 1 1 2 1 2 1 2 2 1 2 1 1 1 1 2 1 1 2 2 1 1 1 1 2 1 1 2 1 2 2 1 1
## [31141] 1 1 2 2 1 2 2 1 1 2 1 2 1 2 2 2 2 1 2 1 1 1 2 2 1 2 1 2 1 1 1 2 2 1 2 2
## [31177] 1 2 1 2 2 2 1 1 2 1 2 1 2 1 1 2 2 2 2 2 2 2 2 1 1 2 2 1 1 1 1 1 1 2 2 1
## [31213] 2 2 1 2 1 2 1 2 2 2 1 1 1 1 1 2 2 2 2 2 1 2 2 1 1 2 1 1 2 2 1 1 2 2 2 1
## [31249] 2 2 2 2 2 2 1 2 2 1 1 1 2 1 1 1 1 2 1 1 1 2 2 1 1 2 1 1 2 2 1 1 1 1 2 1
## [31285] 1 1 1 2 2 1 2 2 1 2 1 1 2 1 2 2 2 1 1 2 2 1 2 2 1 1 2 1 2 1 2 2 1 2 1 2
## [31321] 2 1 1 1 1 2 1 2 1 1 1 2 2 1 1 2 1 1 1 2 2 1 2 1 1 1 1 1 1 2 2 1 2 1 2 1
## [31357] 1 1 1 1 2 2 2 2 2 1 2 2 1 1 2 2 2 1 1 1 1 1 1 2 1 2 2 2 2 1 1 2 1 2 1 2
## [31393] 1 2 1 1 2 2 1 2 2 2 1 1 1 2 2 1 1 2 2 2 1 2 2 1 2 2 2 1 2 1 2 1 1 1 2 1
## [31429] 1 1 1 1 2 2 2 2 1 2 2 2 2 1 1 1 2 2 2 2 1 1 1 1 2 2 2 1 1 2 2 2 2 2 1 2
## [31465] 2 2 2 2 2 2 2 2 1 2 1 2 1 1 2 2 2 1 2 2 1 1 2 1 1 1 2 1 2 1 2 2 2 2 2 1
## [31501] 1 1 1 2 2 1 2 1 2 2 2 1 2 1 2 1 2 2 2 2 1 2 2 1 1 1 1 2 2 2 2 2 2 1 2 2
## [31537] 2 2 1 2 2 2 2 2 1 2 1 1 1 1 2 2 2 2 2 2 1 1 1 2 2 2 1 2 2 1 2 2 2 2 1 2
## [31573] 1 2 2 1 1 2 1 1 1 2 2 1 1 1 1 2 2 2 2 2 1 1 2 1 1 1 1 1 2 2 2 2 2 2 1 2
## [31609] 1 2 2 1 2 2 1 1 1 2 2 2 2 1 2 2 1 1 1 1 2 1 2 1 2 2 2 2 2 2 2 2 2 1 1 1
## [31645] 1 1 2 1 2 1 1 2 2 2 2 2 2 2 1 2 1 1 2 1 2 2 2 1 1 1 2 1 1 2 2 1 2 1 2 1
## [31681] 1 1 2 2 2 1 2 1 1 1 2 1 2 2 1 1 1 2 2 2 1 1 1 1 1 2 1 2 1 2 2 2 2 2 2 2
## [31717] 1 2 1 2 2 2 1 1 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 1 2 1 2
## [31753] 2 2 1 1 2 2 1 1 2 1 1 1 2 2 1 2 1 2 1 2 2 2 1 2 1 2 2 2 1 2 2 1 2 2 2 1
## [31789] 1 1 2 1 1 1 2 1 1 2 2 1 2 2 1 2 1 1 2 1 2 2 1 2 2 1 2 2 1 2 2 1 1 1 1 2
## [31825] 2 1 2 1 1 2 1 2 2 1 2 2 1 2 1 2 1 2 2 2 2 2 2 2 1 1 2 2 2 2 1 2 2 1 2 1
## [31861] 2 1 2 2 2 2 2 1 1 2 1 2 2 2 1 1 1 1 2 2 1 2 1 2 1 1 1 2 2 1 2 2 2 1 1 1
## [31897] 2 2 1 2 1 1 2 2 1 1 1 2 2 1 2 2 1 2 1 1 2 1 1 1 1 2 2 2 1 1 2 2 2 2 2 2
## [31933] 2 2 1 2 2 2 2 1 2 2 1 2 2 2 2 1 1 2 1 2 1 2 2 2 2 2 1 2 2 1 2 1 2 1 1 1
## [31969] 2 1 1 2 2 1 1 1 2 2 1 1 2 1 2 1 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 1 1 2 2 1
## [32005] 1 2 2 1 1 2 1 1 2 1 1 2 1 2 2 2 1 1 2 1 1 1 2 2 1 2 1 2 1 1 2 2 1 1 2 2
## [32041] 2 2 2 2 1 2 1 1 1 2 1 2 2 2 2 2 2 2 2 1 2 2 1 2 2 1 1 1 2 2 1 2 2 2 2 2
## [32077] 1 1 1 2 2 1 1 2 2 1 1 1 2 2 2 1 1 1 2 1 2 1 2 1 2 2 1 2 1 1 1 1 1 1 2 2
## [32113] 1 2 2 1 2 1 1 1 2 2 1 1 2 1 1 2 2 2 2 1 1 2 2 2 2 2 1 1 2 2 1 1 1 2 1 2
## [32149] 1 2 2 2 2 2 2 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 2 1 1 1 2 2 2 2 1 2 1 2 1
## [32185] 1 2 2 2 1 2 1 2 2 1 1 1 2 2 1 1 1 1 1 2 2 1 1 2 2 2 1 1 2 1 2 2 2 2 1 2
## [32221] 1 2 2 1 2 2 1 2 2 1 2 2 2 1 1 2 1 1 2 2 2 2 2 1 2 1 2 2 2 1 1 1 1 1 2 2
## [32257] 2 1 1 2 2 2 1 1 2 2 2 2 2 2 2 1 2 1 1 2 1 2 1 2 1 1 2 2 2 1 2 2 2 2 1 1
## [32293] 1 2 1 2 1 1 2 1 2 2 2 1 1 2 1 2 2 2 2 2 2 2 1 1 2 2 2 2 1 1 2 2 1 1 1 1
## [32329] 2 2 1 1 1 2 1 1 1 1 2 1 2 1 2 1 2 2 1 2 2 1 1 2 2 2 1 2 2 2 2 1 2 2 2 2
## [32365] 1 2 2 1 2 1 2 2 2 1 1 1 2 2 1 2 1 2 2 2 1 1 2 2 1 2 2 1 2 1 2 2 2 2 2 2
## [32401] 2 1 1 2 2 1 2 1 1 2 2 1 2 1 2 2 1 2 2 2 1 1 2 1 2 2 2 2 2 1 2 2 1 2 2 2
## [32437] 2 2 2 2 2 1 2 1 2 2 2 1 2 1 1 1 1 1 2 2 2 2 1 2 1 2 1 1 1 1 1 2 2 2 1 1
## [32473] 1 1 2 2 2 1 2 1 2 2 2 1 1 1 2 2 2 1 1 2 2 2 1 1 2 1 1 1 2 1 2 1 1 2 1 2
## [32509] 2 1 1 1 1 2 1 1 1 1 2 1 1 1 2 2 2 1 2 2 2 2 1 2 1 1 1 1 1 2 2 1 2 1 2 1
## [32545] 2 1 2 2 1 2 2 2 2 1 2 2 2 2 2 2 1 1 1 1 2 1 2 2 1 1 2 2 1 2 2 1 1 2 1 2
## [32581] 2 2 1 2 2 2 1 1 1 1 1 1 2 2 1 1 2 1 1 2 1 1 2 2 1 2 2 1 1 2 2 2 2 1 2 2
## [32617] 1 1 2 2 2 2 1 1 2 2 2 1 1 1 2 2 1 2 2 2 1 1 1 2 1 2 1 2 2 2 2 1 2 2 2 2
## [32653] 2 1 1 2 1 1 1 1 1 1 2 2 1 2 2 2 2 2 1 1 1 1 1 2 2 1 2 1 2 1 2 2 1 2 2 2
## [32689] 2 1 1 2 2 1 1 2 2 2 2 2 2 1 2 1 1 2 1 2 2 2 2 2 1 2 2 1 1 1 1 2 1 2 2 2
## [32725] 1 2 2 2 1 1 2 1 1 2 2 2 1 1 1 2 2 2 1 1 2 1 2 1 2 2 1 1 1 1 2 2 2 1 1 2
## [32761] 1 1 1 2 1 2 1 1 2 2 1 2 2 2 2 2 2 1 2 1 1 1 1 2 2 2 1 2 1 1 2 2 2 1 2 2
## [32797] 2 1 1 2 1 1 2 1 2 1 2 2 1 1 1 2 1 2 2 2 1 2 2 2 1 2 1 2 1 1 1 2 2 2 2 1
## [32833] 2 1 2 1 1 1 1 2 2 2 1 2 1 2 2 2 2 2 2 2 1 2 1 2 2 1 1 1 1 2 1 2 1 2 1 2
## [32869] 1 1 1 2 1 1 2 1 2 1 2 1 1 2 1 1 1 1 1 1 2 1 2 2 2 2 1 1 2 1 1 1 1 2 2 1
## [32905] 2 1 2 1 2 1 1 1 2 1 1 1 1 1 2 1 1 2 2 1 2 2 2 1 1 2 2 1 1 2 2 2 1 2 1 2
## [32941] 2 2 2 2 2 2 1 2 1 2 2 2 2 2 1 2 2 2 2 1 2 1 2 2 2 1 2 1 1 2 2 1 1 1 2 1
## [32977] 1 1 2 2 2 2 1 2 1 2 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 1 2 2 1 2 2 2 1 2 1 1
## [33013] 2 2 2 2 2 2 2 1 1 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 1 1 1 2 1 2 2
## [33049] 1 2 1 2 2 2 1 2 2 2 1 2 2 2 1 1 2 2 1 1 2 2 1 2 1 2 1 2 1 2 1 2 2 1 1 1
## [33085] 2 1 1 2 1 2 2 1 2 2 2 2 2 1 1 1 2 1 2 2 2 2 1 1 2 1 1 1 2 1 1 2 2 1 2 2
## [33121] 1 2 1 1 2 2 1 2 2 2 1 1 2 2 2 1 1 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 1 1 2 2
## [33157] 1 2 2 2 1 2 2 2 1 1 2 2 2 1 2 2 1 1 2 2 2 1 2 1 1 1 1 2 1 2 1 2 1 2 2 1
## [33193] 2 2 1 1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 2 1 2 2 2 2 1 2 2 2 1 1 2 2 2 1 2 1
## [33229] 2 1 1 2 2 2 2 2 1 2 1 1 2 2 2 1 1 1 1 2 1 2 2 2 2 2 1 1 1 2 2 2 2 1 1 1
## [33265] 1 1 2 1 1 2 2 2 2 2 1 1 2 1 2 2 2 2 2 2 2 1 2 2 2 1 2 1 2 1 1 2 1 1 2 2
## [33301] 1 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 1 2 1 2 2 1 1 2 1 2
## [33337] 1 2 1 1 2 2 2 2 1 1 2 2 2 1 1 1 1 1 1 2 2 1 2 1 2 2 2 1 2 1 2 1 1 1 1 2
## [33373] 2 1 1 1 1 1 2 2 2 2 1 2 1 2 1 2 2 2 2 1 1 1 2 2 2 2 1 2 1 2 2 1 1 2 2 1
## [33409] 1 1 2 2 1 1 1 1 2 2 2 2 2 1 2 1 2 1 2 2 1 2 2 2 1 1 1 2 1 2 2 1 1 2 1 2
## [33445] 2 2 2 1 2 1 2 1 2 1 1 2 1 2 1 2 2 2 1 2 1 1 2 1 2 1 1 2 2 2 2 2 1 2 2 2
## [33481] 1 1 2 2 2 1 1 2 2 2 1 1 2 1 1 2 2 1 2 2 1 1 1 1 2 1 1 2 2 1 2 1 2 1 1 1
## [33517] 2 2 1 2 1 1 2 2 2 1 2 1 1 2 2 2 1 2 2 2 2 1 2 2 1 1 2 2 2 2 2 2 1 1 1 1
## [33553] 1 2 2 2 1 1 1 2 2 2 2 2 1 1 1 1 2 1 2 2 1 2 2 2 1 2 2 2 1 1 2 2 2 1 1 1
## [33589] 1 2 2 1 2 1 1 1 1 2 1 2 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2
## [33625] 2 2 2 1 2 1 1 1 1 2 2 1 1 1 2 2 2 2 2 2 2 2 1 1 2 2 1 1 2 1 2 1 2 1 2 2
## [33661] 2 1 1 1 1 2 1 2 2 1 1 1 2 2 1 2 2 2 1 2 2 1 1 2 2 2 1 2 1 1 1 2 2 1 1 2
## [33697] 1 2 2 1 1 2 2 2 1 2 1 2 1 1 2 2 1 1 1 2 1 1 2 2 2 1 1 1 1 1 1 1 1 2 2 2
## [33733] 2 2 2 2 2 2 2 2 2 1 2 1 2 1 2 1 2 1 1 1 2 1 1 1 1 1 1 2 1 1 1 2 1 2 2 2
## [33769] 1 1 2 2 2 2 1 1 2 1 2 2 2 2 2 2 2 2 1 2 2 2 1 1 1 1 2 1 1 2 1 2 1 2 2 2
## [33805] 2 1 2 1 2 2 2 2 1 2 2 2 2 2 1 2 2 2 1 1 2 1 1 1 2 1 1 1 1 1 1 2 2 2 1 1
## [33841] 2 1 1 1 1 2 2 2 2 1 1 2 1 2 1 1 1 1 2 2 2 2 2 1 2 2 2 2 1 1 1 2 1 2 1 1
## [33877] 2 2 2 2 2 2 1 2 1 1 1 2 2 1 1 1 2 2 2 1 2 2 1 2 1 1 1 1 1 1 2 1 1 2 2 2
## [33913] 2 1 2 1 2 1 1 1 2 1 2 1 2 2 1 1 2 1 2 2 2 2 1 2 2 2 1 1 2 2 1 2 2 2 2 2
## [33949] 2 2 2 2 2 2 1 2 2 2 1 1 1 1 1 1 2 2 2 2 1 2 2 2 1 1 2 2 2 2 1 1 2 1 1 2
## [33985] 2 2 2 2 1 1 2 2 1 2 2 1 2 2 1 2 2 1 2 2 1 1 1 1 1 1 2 2 2 1 1 2 1 2 1 1
## [34021] 2 2 1 2 1 2 2 1 1 1 2 1 2 1 2 1 2 2 1 2 2 2 1 1 1 2 1 2 1 2 1 1 1 1 2 1
## [34057] 2 2 2 2 1 2 1 2 2 1 2 2 2 2 1 1 2 1 1 2 2 1 1 2 2 2 1 2 1 2 2 1 2 2 1 1
## [34093] 2 1 2 2 2 2 1 1 2 1 2 1 2 2 2 1 1 1 2 2 2 1 2 2 2 2 2 1 2 2 2 2 2 2 1 1
## [34129] 2 2 1 2 1 2 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2 2 1 2 2 1 2 2 2 1 1 1 2
## [34165] 2 1 2 1 2 2 1 2 1 1 1 2 1 2 1 2 1 2 2 2 2 1 2 2 2 2 2 1 2 1 1 2 2 2 1 2
## [34201] 2 2 1 2 1 2 2 1 1 2 2 1 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 2 1 2 2 2 1 2 1 1
## [34237] 2 2 1 2 2 1 1 2 2 2 2 2 2 2 2 1 2 2 1 2 2 2 1 1 2 1 2 1 1 1 2 2 2 2 2 1
## [34273] 1 1 2 2 1 1 1 1 2 1 1 2 2 2 2 2 2 2 2 2 1 2 1 2 1 1 2 2 1 2 2 2 1 1 1 2
## [34309] 2 1 2 2 1 1 2 2 1 1 1 2 1 2 2 2 1 1 1 1 2 1 2 1 1 2 2 2 2 1 2 1 1 1 1 1
## [34345] 1 2 2 2 1 1 2 1 2 1 1 2 2 2 2 1 2 2 1 1 2 2 1 2 2 2 2 1 1 2 1 2 2 2 2 2
## [34381] 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 1
## [34417] 2 1 2 2 2 1 2 1 2 2 1 1 1 1 2 1 2 1 2 1 2 2 2 2 2 2 2 1 1 1 2 2 2 2 1 2
## [34453] 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1 1 1 1 1 1 2 1 2 2 1 2 1 1 1 1
## [34489] 1 2 1 2 1 2 2 2 1 2 2 2 1 2 1 1 2 1 1 1 1 2 2 1 1 2 2 2 2 2 2 2 1 1 2 2
## [34525] 1 1 1 2 2 1 1 1 2 2 2 1 2 2 2 2 1 1 1 1 2 1 1 2 1 1 1 2 1 2 2 1 1 2 2 2
## [34561] 1 1 1 2 2 2 1 1 2 1 2 2 1 2 1 2 2 2 2 1 1 2 1 1 1 2 1 2 2 2 1 1 2 1 1 1
## [34597] 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 1 2 2 2 1 2 2 2 2 2 2 1 1 2 1 1
## [34633] 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 1 2 2 1 2 1 2 1 2 1 2 2 1 1 1 1 2 1 2 1
## [34669] 1 1 1 2 2 1 1 1 1 2 1 1 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 1 2 1 2 2 2 2 1 1
## [34705] 1 2 1 2 1 1 1 2 2 2 2 2 1 1 1 2 1 1 2 1 1 1 1 2 2 1 1 1 1 1 2 2 2 2 2 1
## [34741] 2 2 1 2 2 2 2 1 1 2 2 2 2 1 1 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1
## [34777] 1 2 2 1 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 1 2 2 1 2
## [34813] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 2 1 2 2 2 1 2 1 1 1 2 2 2 2 1 1 1 2
## [34849] 2 2 1 2 1 1 1 2 2 1 2 2 1 1 2 2 1 1 2 2 1 2 2 2 1 2 2 1 1 1 1 2 2 1 2 2
## [34885] 2 1 2 1 2 2 1 2 1 2 2 2 1 1 1 1 2 1 2 1 1 2 1 2 1 1 1 2 2 1 2 2 2 1 2 2
## [34921] 2 2 2 2 1 2 2 2 2 1 1 2 2 1 1 1 1 1 1 1 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2
## [34957] 2 1 2 2 1 2 1 1 1 1 2 1 1 2 1 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 1 1 2 1 1 1
## [34993] 2 2 1 2 1 2 1 2 1 2 2 1 2 2 2 1 2 2 2 2 2 2 2 1 2 1 1 2 1 1 2 1 2 2 2 2
## [35029] 2 2 1 2 2 2 2 1 1 2 1 1 2 2 2 1 2 1 2 2 1 1 2 1 1 2 1 2 2 1 1 2 1 1 1 1
## [35065] 2 2 1 1 2 2 1 1 2 1 2 2 1 1 2 2 2 2 1 1 1 2 1 1 1 2 2 2 2 2 1 1 1 1 1 2
## [35101] 2 1 2 2 2 1 1 2 2 2 2 1 2 2 2 2 2 1 2 1 1 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2
## [35137] 2 2 1 2 2 1 1 1 2 2 2 2 2 2 1 2 2 1 2 2 1 1 1 2 2 1 1 1 2 1 2 1 2 2 2 2
## [35173] 2 2 2 1 1 1 2 1 2 1 1 1 1 1 2 1 1 2 1 2 1 1 2 2 2 1 1 2 1 1 2 2 2 2 2 2
## [35209] 2 1 1 1 2 2 2 2 1 2 1 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 1 1 2 1 1 2 1 1 2
## [35245] 2 1 1 2 2 2 1 2 2 2 1 1 2 1 2 2 2 2 1 2 1 1 2 2 2 1 2 1 2 2 2 1 2 2 2 2
## [35281] 1 1 2 2 2 1 2 2 1 2 2 1 1 2 2 2 1 2 1 1 2 2 1 1 2 2 1 2 2 2 2 2 2 1 2 1
## [35317] 1 2 2 2 1 2 2 2 2 2 1 1 2 1 2 1 2 1 2 2 2 2 1 2 1 1 1 1 2 2 1 2 1 2 2 1
## [35353] 2 2 2 1 1 1 2 1 2 2 1 1 2 1 1 1 2 2 1 1 1 2 1 2 1 1 2 1 1 2 1 2 1 2 2 1
## [35389] 1 2 2 2 1 2 2 2 2 2 2 2 1 2 2 1 1 2 2 2 2 1 2 1 2 1 2 2 2 2 2 2 2 2 1 1
## [35425] 1 2 2 2 1 2 2 2 1 2 2 2 1 2 1 2 1 1 2 2 2 2 1 1 1 2 1 1 1 2 2 1 1 2 1 2
## [35461] 2 2 1 2 2 2 2 1 2 1 2 2 1 2 1 2 1 2 1 2 2 2 2 1 2 1 2 2 1 1 2 2 2 1 1 2
## [35497] 2 2 1 2 2 2 1 2 1 2 2 2 2 1 2 2 2 2 2 2 1 2 1 2 2 2 1 2 2 1 1 2 2 2 2 1
## [35533] 1 1 1 2 1 2 2 2 1 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 2 2 2 2 2 2 1 1 2 2 2 1
## [35569] 2 1 2 2 2 1 1 1 2 1 1 2 1 1 2 1 2 1 2 2 2 1 2 2 1 1 1 1 1 1 2 2 2 1 1 1
## [35605] 2 2 2 2 2 1 2 2 2 1 2 1 2 1 2 1 1 2 1 2 2 1 1 2 1 1 2 1 1 1 2 2 1 2 1 2
## [35641] 1 2 2 2 2 1 1 2 1 2 1 2 2 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1
## [35677] 2 2 2 1 1 1 1 2 2 1 2 1 2 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1
## [35713] 1 2 2 2 1 2 2 2 1 1 1 2 1 1 2 2 2 1 1 1 1 2 2 1 2 1 2 2 1 2 2 1 1 2 2 2
## [35749] 2 2 1 2 2 2 2 1 1 2 1 2 2 2 1 2 1 2 2 1 2 1 1 1 2 2 2 1 2 2 2 1 1 2 2 1
## [35785] 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 1 1 1 1 2 2 2 2 1 2 1 1 1 2 2 1 2 1 1 1 2
## [35821] 1 2 2 1 1 2 1 1 1 2 2 1 1 2 2 1 1 2 2 2 1 1 1 2 1 1 1 1 2 1 2 2 2 2 1 2
## [35857] 2 2 2 2 1 2 1 2 1 2 2 1 2 2 2 2 2 1 2 2 2 2 1 2 2 2 1 1 2 2 2 2 2 2 1 2
## [35893] 2 1 1 1 1 2 1 1 1 1 2 1 1 1 2 2 1 2 1 2 1 1 2 2 2 2 1 1 2 1 2 1 2 1 2 1
## [35929] 2 2 1 1 1 2 2 2 2 1 2 2 2 1 2 2 2 1 1 2 2 2 1 2 2 2 1 2 1 2 1 2 1 2 1 2
## [35965] 1 2 2 1 2 1 1 2 2 1 2 2 2 2 2 1 1 2 2 2 2 1 2 2 1 1 1 1 2 2 2 2 1 2 2 2
## [36001] 2 2 2 2 1 2 2 2 2 1 1 1 2 1 2 2 1 1 1 2 1 2 2 2 2 2 2 1 2 1 2 1 1 1 1 1
## [36037] 2 2 1 2 2 1 2 2 1 2 2 2 2 2 1 2 1 2 2 1 2 2 1 2 1 1 1 2 1 2 1 2 2 2 2 1
## [36073] 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1 1 1 2 1 2 1 1 1 1 2 2 2 1 1 1 2 2 2 1 2
## [36109] 1 2 1 1 2 1 2 1 1 1 2 2 2 1 2 2 1 2 2 2 2 2 1 2 2 2 1 1 2 1 2 2 1 1 2 2
## [36145] 2 1 1 2 2 1 1 1 2 2 1 1 2 2 2 2 1 1 1 2 1 1 2 2 2 1 1 1 2 1 2 2 2 2 1 1
## [36181] 2 1 2 2 1 2 1 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 1 1 2 1 2 2 1 1
## [36217] 2 2 1 1 2 1 2 2 2 1 2 2 2 1 1 1 1 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 1 1 2 1
## [36253] 2 2 2 2 2 2 2 2 1 2 1 2 2 1 2 1 2 2 2 2 2 2 1 1 2 1 2 1 1 1 2 2 1 1 1 1
## [36289] 2 1 1 2 2 1 1 2 1 1 2 1 2 1 2 2 1 1 1 2 2 2 2 1 2 2 1 1 2 1 1 1 2 2 2 2
## [36325] 2 2 2 1 2 2 2 2 1 2 2 2 1 2 1 2 1 2 1 2 2 2 2 1 1 2 1 2 1 2 2 1 2 1 1 2
## [36361] 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 2 1 1 1 1 2 2 1 1 1 2 2 1 2 2 1 1 1 1 2
## [36397] 2 1 2 1 1 2 1 1 1 2 2 1 2 2 1 2 1 2 2 2 2 2 2 2 2 1 1 2 2 1 2 2 1 1 2 1
## [36433] 1 1 2 1 2 2 2 1 2 1 2 1 1 1 2 1 1 2 2 2 1 1 1 2 1 1 2 1 2 2 1 1 1 2 1 1
## [36469] 2 2 2 1 1 2 2 2 2 2 2 2 1 2 1 1 2 2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 2 1 2
## [36505] 2 1 1 2 1 2 1 2 1 2 2 1 2 1 1 2 1 1 1 1 2 1 2 1 1 2 2 1 2 1 2 2 2 1 2 1
## [36541] 1 1 1 2 2 1 1 2 1 1 1 2 2 2 2 1 1 2 2 2 1 1 1 2 2 1 2 1 2 2 2 1 1 1 2 1
## [36577] 1 2 2 1 2 1 2 2 1 2 2 2 2 2 2 1 1 2 2 2 1 1 2 1 1 2 2 2 1 1 2 2 1 1 1 1
## [36613] 2 1 2 1 2 2 2 2 2 2 2 1 1 1 2 1 2 1 2 1 2 1 1 1 2 2 2 2 2 2 2 2 1 2 1 1
## [36649] 2 2 1 1 2 2 1 2 2 2 1 2 1 2 2 1 1 1 1 1 2 2 1 1 2 1 2 1 2 1 2 1 2 2 1 1
## [36685] 2 1 2 2 2 1 1 2 1 2 2 1 1 2 1 2 1 2 1 1 1 2 2 2 2 1 1 2 1 1 2 2 2 2 1 2
## [36721] 1 2 1 1 2 2 1 2 1 1 1 2 1 2 1 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 1 2 2 1 2 2
## [36757] 1 1 1 2 1 2 1 2 1 1 2 2 2 2 2 2 1 2 2 2 1 2 1 1 2 1 2 1 1 2 1 1 2 1 1 1
## [36793] 1 1 1 1 2 1 2 1 1 2 2 1 1 1 2 2 2 1 2 2 1 2 2 1 2 2 1 1 2 1 1 2 1 1 2 2
## [36829] 1 2 1 1 2 2 2 1 2 1 2 1 2 2 2 1 2 1 1 1 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2
## [36865] 2 2 2 1 2 2 2 1 2 2 2 2 2 2 1 1 2 2 1 1 1 1 1 1 2 1 1 1 2 2 2 1 1 2 1 1
## [36901] 1 2 2 1 2 1 2 1 2 1 2 2 2 2 1 1 1 2 1 2 1 2 1 2 1 2 2 1 1 2 2 2 2 1 1 2
## [36937] 1 2 2 1 2 2 2 1 2 1 1 2 1 1 2 1 2 2 2 2 1 1 2 1 1 1 2 1 1 1 1 1 1 2 2 2
## [36973] 2 2 2 1 1 1 1 1 2 1 2 2 2 1 2 2 2 2 2 2 1 2 2 2 1 2 2 1 2 1 2 2 2 1 1 2
## [37009] 1 1 2 2 2 2 2 1 1 2 2 2 2 2 1 1 2 2 2 2 2 2 2 1 1 2 2 1 1 2 1 2 2 1 2 2
## [37045] 1 1 1 1 2 1 2 1 2 1 1 2 1 2 1 1 1 2 2 2 1 2 1 2 2 1 1 1 2 2 2 2 2 2 1 2
## [37081] 1 2 2 2 1 2 2 2 2 1 2 2 2 1 1 2 1 1 2 2 2 1 1 2 2 1 1 1 2 2 1 1 2 2 2 2
## [37117] 1 2 1 1 2 1 1 2 2 1 2 2 1 1 2 1 2 2 2 1 2 2 1 2 2 2 2 1 1 2 1 2 1 1 1 1
## [37153] 2 2 1 1 2 1 2 1 2 1 1 1 2 1 2 2 1 1 1 1 2 2 2 1 2 1 1 2 2 2 1 2 2 2 1 1
## [37189] 1 2 1 1 2 1 2 2 1 2 1 2 1 1 2 1 2 2 1 2 1 2 2 2 2 1 2 1 2 2 2 1 1 1 1 2
## [37225] 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 1 1 1 2 2 2 2 2 1 1 1 2 1 2 1 2 2 1
## [37261] 1 1 1 2 1 1 2 1 1 2 2 2 2 1 1 2 2 2 2 2 1 2 1 2 2 1 2 1 2 2 1 1 1 2 2 2
## [37297] 1 2 1 2 2 1 1 2 1 1 2 1 2 2 1 2 1 2 2 1 2 1 2 1 1 2 2 2 1 1 1 2 2 1 1 1
## [37333] 1 2 2 1 1 2 1 1 2 1 1 1 2 1 1 1 2 2 1 2 2 1 2 2 2 2 2 1 1 2 2 1 1 2 1 2
## [37369] 2 2 1 2 1 2 1 2 2 2 1 1 1 2 1 2 1 2 2 2 2 2 2 1 2 2 2 1 2 2 2 1 1 2 2 2
## [37405] 1 1 1 2 2 1 1 1 2 1 2 1 2 2 2 1 1 2 2 2 2 1 1 2 1 2 1 2 1 2 2 1 1 2 2 2
## [37441] 1 2 2 2 1 1 2 2 2 2 2 2 2 1 1 2 1 1 2 2 2 2 2 2 1 2 2 1 2 2 1 1 1 1 2 1
## [37477] 2 2 1 1 2 2 2 1 1 1 2 2 1 1 1 2 1 1 1 1 2 2 2 2 2 1 1 1 2 1 2 1 2 1 2 1
## [37513] 1 1 1 2 1 2 2 2 2 2 2 1 2 1 1 1 1 1 1 2 2 1 2 2 1 2 2 1 2 1 1 2 2 1 2 1
## [37549] 1 1 1 2 2 2 2 2 2 1 1 2 1 1 2 1 2 1 2 1 2 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2
## [37585] 2 2 1 2 2 2 1 1 1 1 2 2 1 2 2 2 2 2 2 1 1 1 1 2 1 2 1 2 1 1 2 2 1 2 2 2
## [37621] 1 2 2 2 1 2 2 1 2 1 1 1 1 2 2 1 2 1 1 1 2 2 2 2 2 2 2 2 2 1 2 2 2 1 2 1
## [37657] 2 1 1 1 2 2 2 2 1 2 2 1 1 1 2 1 1 1 1 2 2 1 1 2 2 1 2 2 2 2 1 2 1 1 1 1
## [37693] 1 1 1 2 1 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 1 2 2 2 2 2 1 2 1 2 1 2 2 1 1 2
## [37729] 1 2 1 1 1 2 1 1 1 1 1 1 2 2 2 1 1 1 1 2 1 2 1 2 1 2 1 1 2 2 2 2 1 1 1 2
## [37765] 1 2 2 2 2 1 1 2 2 1 1 1 2 1 2 2 2 1 1 1 2 1 1 1 2 1 1 2 1 1 2 2 2 2 1 2
## [37801] 2 1 2 1 2 2 2 1 1 2 1 1 2 1 1 2 2 1 2 2 1 2 1 2 2 2 1 1 2 2 1 1 2 2 2 1
## [37837] 2 2 2 2 1 1 1 2 2 2 2 2 1 1 1 1 2 2 1 1 1 1 2 1 1 2 2 1 1 1 2 1 1 2 2 1
## [37873] 1 1 2 1 1 2 2 2 2 2 2 2 1 1 2 1 2 1 1 1 1 2 1 2 2 2 1 2 1 2 2 1 2 1 1 1
## [37909] 1 1 1 1 1 2 2 2 1 1 1 2 1 2 1 2 2 2 1 2 2 1 2 2 1 2 2 2 1 1 1 1 1 2 2 1
## [37945] 2 2 2 2 2 1 2 2 2 2 1 2 1 1 2 1 2 1 2 1 2 1 2 2 1 2 2 1 2 1 1 2 2 2 1 2
## [37981] 1 1 2 1 2 1 2 1 2 1 1 2 1 1 1 1 2 2 2 1 2 1 1 1 2 2 1 2 1 1 1 2 2 1 2 2
## [38017] 2 2 1 1 2 1 1 1 1 2 1 2 1 2 2 1 2 2 2 2 1 1 2 1 2 2 1 2 2 2 2 1 1 1 1 1
## [38053] 2 1 1 1 2 2 2 2 2 2 1 1 1 2 1 2 1 2 1 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2 1 1
## [38089] 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 1 1 2 1 2 1 2 2 1 1 2
## [38125] 1 2 1 1 2 2 2 2 2 2 1 1 1 2 1 2 1 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2
## [38161] 1 1 2 2 2 1 2 2 1 2 1 2 1 1 2 2 1 1 1 2 2 2 1 1 2 1 2 1 2 2 1 1 1 2 2 1
## [38197] 2 2 2 2 2 2 1 2 1 2 1 1 1 1 1 1 2 1 1 2 1 2 1 1 2 1 1 1 2 2 1 2 1 2 2 2
## [38233] 2 2 1 2 2 2 2 2 2 1 2 1 2 2 1 1 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 1 1 2
## [38269] 2 1 1 2 1 1 1 1 2 1 1 2 2 1 1 1 2 2 1 2 2 1 1 2 2 2 2 1 2 1 1 1 2 1 2 1
## [38305] 1 1 2 2 2 2 2 1 1 1 2 2 2 2 2 1 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2
## [38341] 1 2 2 2 2 2 2 1 2 1 1 2 1 2 1 1 2 2 1 2 2 2 1 1 2 1 2 2 2 1 2 2 1 1 1 1
## [38377] 2 1 1 1 2 2 2 1 2 2 2 2 2 2 1 2 2 1 1 1 2 1 1 1 2 2 2 1 1 2 1 2 1 2 2 1
## [38413] 2 1 1 2 1 2 1 1 2 1 1 2 1 1 2 2 1 2 1 1 1 2 2 1 2 1 2 1 1 1 2 2 1 1 2 1
## [38449] 1 1 1 1 1 2 1 2 1 2 2 2 1 2 1 1 1 1 2 2 2 2 1 1 1 1 1 1 2 1 1 2 1 2 2 2
## [38485] 2 2 1 2 2 2 2 2 2 2 1 1 1 1 2 2 1 1 2 2 2 2 2 1 1 2 1 2 1 2 2 1 2 1 2 2
## [38521] 2 2 2 2 2 2 1 1 1 1 2 2 1 2 2 1 1 1 2 2 2 2 1 1 2 2 1 1 1 2 1 2 2 2 2 2
## [38557] 2 1 1 1 2 2 1 1 2 1 2 1 1 2 2 2 2 2 2 1 1 2 2 1 2 2 1 2 2 2 1 2 2 1 1 2
## [38593] 2 2 2 2 1 2 2 1 1 2 1 2 2 1 2 1 1 1 1 1 2 1 1 1 2 2 2 2 2 2 1 2 1 1 1 1
## [38629] 1 1 1 2 2 1 2 2 1 1 2 2 1 1 1 1 2 1 2 1 2 2 1 2 1 2 1 2 1 2 1 1 2 2 2 2
## [38665] 2 1 2 1 2 1 2 2 1 2 2 2 2 1 1 1 2 2 2 2 1 2 1 2 2 1 1 2 1 2 2 2 2 2 2 2
## [38701] 2 1 1 1 2 1 1 1 2 2 2 1 2 1 1 1 1 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 2 2 2 2
## [38737] 2 1 2 2 2 1 1 2 1 1 2 2 2 1 2 1 2 2 2 1 2 2 2 1 1 1 2 1 1 1 2 1 2 1 2 2
## [38773] 1 2 2 1 2 1 1 2 2 2 1 2 2 1 2 1 1 1 2 1 2 1 2 1 2 2 2 2 1 2 1 1 2 2 2 1
## [38809] 1 2 2 2 1 1 2 2 2 1 1 1 2 1 2 1 2 1 1 2 1 2 2 1 2 1 2 1 2 2 2 1 2 2 2 1
## [38845] 1 2 2 1 2 1 2 2 1 2 1 2 2 2 1 2 1 1 2 2 1 1 1 2 2 2 1 1 2 2 2 1 2 1 1 2
## [38881] 1 2 1 2 2 1 1 2 2 1 2 1 1 2 1 2 2 2 2 2 1 2 1 2 2 2 2 2 1 2 1 1 1 1 1 2
## [38917] 1 2 2 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 1 2 2 1 2 2 1 1 1 2 2 2 1 2 1 1 2
## [38953] 1 2 2 2 1 2 1 2 1 2 2 1 2 1 1 2 2 1 1 1 1 2 2 1 1 2 2 2 1 2 1 1 1 1 2 2
## [38989] 1 2 1 2 2 1 1 1 1 2 1 1 2 2 1 2 2 1 2 2 2 1 2 2 2 1 1 1 1 1 2 1 1 1 2 2
## [39025] 2 2 1 2 1 1 2 2 1 2 1 1 2 2 2 1 2 1 2 1 2 2 2 2 1 2 1 1 1 2 2 1 1 2 2 2
## [39061] 2 1 2 1 2 1 1 2 2 2 1 2 2 2 2 2 1 1 2 1 1 2 2 2 2 1 2 1 1 2 2 2 2 1 1 2
## [39097] 1 1 2 2 2 2 2 2 1 2 1 2 1 1 2 2 1 2 1 2 1 1 1 2 1 1 2 1 2 1 2 1 1 2 1 2
## [39133] 2 2 1 1 2 2 2 1 2 2 1 1 2 1 2 1 1 2 1 1 2 1 1 2 1 2 2 2 1 1 2 2 1 1 1 1
## [39169] 2 2 2 2 2 1 2 2 2 2 1 1 2 2 2 1 2 1 1 2 2 1 2 1 2 1 2 1 2 1 1 1 1 2 1 2
## [39205] 2 2 1 1 1 1 2 2 1 2 2 2 2 2 2 2 1 1 1 1 2 1 1 1 1 1 2 1 2 2 2 2 2 2 2 2
## [39241] 1 1 1 2 1 2 2 2 2 1 1 1 2 2 1 2 2 1 2 2 2 1 2 1 2 2 1 1 2 2 2 2 1 1 1 2
## [39277] 2 1 1 2 2 1 2 2 2 1 1 1 1 2 2 1 2 1 2 1 2 2 1 1 2 2 2 2 1 2 2 2 1 2 2 1
## [39313] 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 1 1 1 1 1 2 1 2 2 1 2 2 1 2 2 2 2 1 2 1 2
## [39349] 2 2 2 2 1 2 2 1 2 2 2 2 1 2 2 1 1 2 2 2 1 2 2 1 1 1 1 2 2 2 2 2 2 1 1 1
## [39385] 2 2 1 1 1 1 2 2 2 1 2 1 2 1 2 1 2 1 1 1 1 2 2 1 1 2 2 1 2 2 2 1 1 2 1 2
## [39421] 2 1 2 2 1 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 1 1 2 1 2
## [39457] 1 1 1 2 2 2 2 2 2 1 2 2 2 1 2 1 2 1 1 2 2 2 1 2 1 2 2 1 1 2 1 1 2 1 2 2
## [39493] 1 1 2 1 1 1 2 2 1 2 2 1 1 2 2 1 1 1 2 2 2 1 2 2 2 2 2 2 2 1 2 1 1 1 2 2
## [39529] 2 1 2 2 1 1 2 1 2 1 2 1 2 2 2 1 2 1 2 2 1 1 1 1 2 2 2 2 2 1 2 1 2 1 2 2
## [39565] 1 2 2 2 2 1 1 1 1 2 1 2 2 1 1 2 2 1 1 2 1 2 2 1 2 1 2 2 2 1 2 1 1 2 2 2
## [39601] 1 1 1 1 2 2 2 1 1 2 2 1 1 1 1 1 1 2 2 1 2 1 1 1 1 2 2 2 1 2 2 2 2 2 1 1
## [39637] 1 1 1 1 1 2 1 1 2 2 1 2 2 1 2 2 1 2 2 2 2 1 2 1 1 1 1 2 1 2 2 1 2 2 1 1
## [39673] 2 1 2 1 1 1 1 2 2 2 2 2 1 1 1 2 2 2 2 1 2 1 2 1 2 1 2 1 2 1 2 2 2 1 2 2
## [39709] 2 1 2 2 2 1 2 2 2 1 2 2 2 1 1 2 2 1 1 1 2 1 1 1 2 2 2 1 1 2 2 2 2 2 2 2
## [39745] 1 2 2 1 1 1 2 2 1 2 1 1 2 1 2 2 1 2 2 2 2 1 2 1 1 2 2 1 2 2 1 1 2 1 2 2
## [39781] 1 1 1 1 2 1 1 2 1 1 2 2 1 2 1 1 2 1 2 1 2 2 2 1 1 1 1 2 2 2 2 2 1 1 1 2
## [39817] 2 1 1 1 1 1 2 2 2 2 2 1 1 2 2 1 2 2 2 1 1 1 1 1 2 1 2 1 2 2 2 2 1 1 2 2
## [39853] 1 1 2 2 1 1 2 1 1 1 1 1 1 2 2 1 1 1 1 1 1 2 2 1 1 2 1 2 1 1 1 2 2 2 1 1
## [39889] 1 2 2 2 1 2 2 1 1 2 1 2 2 2 2 1 2 2 2 1 1 1 2 1 2 1 2 1 1 2 2 2 2 2 2 2
## [39925] 2 2 1 2 2 2 2 2 1 1 2 2 2 1 2 2 1 1 2 1 2 2 1 2 1 2 1 1 1 2 1 1 2 1 1 1
## [39961] 2 2 2 1 2 2 1 1 1 1 2 2 1 1 2 2 2 2 1 1 2 2 2 2 2 2 2 1 2 1 1 1 1 1 2 1
## [39997] 1 1 2 1 1 2 2 1 2 2 2 2 1 2 1 2 1 2 1 2 2 1 2 1 1 2 1 2 2 1 1 2 2 2 2 2
## [40033] 2 1 2 2 1 1 2 2 2 1 1 1 2 1 1 2 2 2 1 1 1 1 2 2 1 2 2 2 2 2 2 2 1 2 1 2
## [40069] 2 2 1 1 2 2 2 1 2 2 1 1 2 2 1 2 2 1 2 1 2 2 2 1 1 2 2 2 1 1 2 2 1 1 1 1
## [40105] 1 2 1 1 2 2 1 2 2 2 2 1 1 1 1 2 2 2 2 1 1 2 1 2 1 2 2 2 1 2 2 2 1 2 2 2
## [40141] 2 2 1 2 2 1 2 2 2 1 1 2 2 2 1 1 2 1 1 2 2 1 1 2 1 1 1 2 2 1 2 2 1 2 2 1
## [40177] 2 1 1 2 1 2 2 1 1 2 2 2 1 1 2 1 1 1 2 2 2 2 2 1 2 2 2 1 1 1 1 1 2 2 2 2
## [40213] 2 1 2 1 2 1 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 2
## [40249] 1 1 1 1 2 2 2 1 2 2 1 1 1 1 2 1 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 2 1 2 2
## [40285] 1 2 1 2 2 2 1 1 2 1 2 1 1 1 1 2 2 2 1 2 2 2 1 2 2 1 2 1 1 1 2 1 2 1 2 1
## [40321] 2 1 1 1 2 1 2 1 1 2 2 2 1 1 1 2 2 1 2 2 1 2 2 1 2 1 1 2 2 2 1 2 2 1 2 2
## [40357] 2 1 1 2 2 2 2 2 2 2 1 1 2 2 2 1 1 2 2 1 2 1 2 1 1 1 2 2 1 2 1 1 2 2 2 1
## [40393] 1 1 1 2 2 1 1 2 1 1 1 2 1 2 1 1 2 2 2 2 1 1 1 1 2 1 2 2 2 2 2 2 1 2 2 1
## [40429] 1 2 1 2 1 1 1 2 1 2 2 2 1 1 1 2 1 1 1 2 2 2 2 1 2 1 2 2 2 2 1 2 1 2 2 1
## [40465] 2 2 2 2 1 1 1 1 2 2 2 2 1 2 2 2 1 1 1 1 1 2 1 1 2 2 1 1 1 2 2 2 2 1 2 1
## [40501] 2 2 2 1 2 1 2 2 2 1 1 1 2 2 1 2 2 1 2 1 2 1 2 2 2 2 2 2 1 1 1 2 2 2 2 2
## [40537] 1 2 1 2 1 1 2 2 1 2 1 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 2 1 2 2 1 1 2 2 2 1
## [40573] 2 1 2 2 1 1 2 1 1 2 1 2 2 1 1 2 1 2 2 2 1 1 1 1 2 1 2 1 2 2 1 1 1 2 2 1
## [40609] 1 1 2 1 2 1 2 2 2 1 1 1 2 2 2 1 1 2 2 1 1 1 1 2 1 1 2 1 1 1 2 2 2 1 1 2
## [40645] 2 2 1 2 2 2 1 1 1 1 2 2 1 1 2 1 1 2 1 1 1 2 1 1 1 1 2 2 2 1 1 2 1 2 1 2
## [40681] 1 2 2 2 2 1 1 2 2 1 1 1 1 2 2 2 1 2 1 1 1 2 1 1 2 2 2 2 2 2 2 2 2 1 2 1
## [40717] 2 1 1 2 2 2 2 1 2 2 2 1 1 1 2 1 2 1 1 2 1 1 2 1 2 2 2 2 1 2 2 1 2 2 2 2
## [40753] 2 2 2 1 2 1 1 2 1 2 2 2 2 2 2 1 2 2 1 2 2 1 2 1 2 1 1 1 1 1 1 2 2 2 1 1
## [40789] 1 2 2 1 2 2 2 1 2 2 1 1 1 2 2 2 1 2 2 1 2 2 2 1 1 2 1 1 2 2 1 2 1 1 2 2
## [40825] 1 2 2 1 2 2 2 2 2 2 1 2 2 1 2 2 2 2 2 1 2 2 1 1 2 1 1 1 2 1 2 2 1 2 2 2
## [40861] 1 1 1 2 1 1 2 2 1 2 1 2 2 2 2 1 1 2 2 2 1 2 2 1 2 2 1 1 2 2 2 1 2 2 2 1
## [40897] 2 2 2 2 2 1 1 2 2 1 2 2 1 1 2 1 1 2 2 2 1 1 2 2 2 1 2 1 2 2 2 2 1 2 2 2
## [40933] 2 1 2 1 1 1 2 2 2 1 1 2 2 1 2 1 2 2 2 1 1 1 2 1 2 2 2 1 2 2 2 2 2 2 2 1
## [40969] 2 2 2 2 2 2 2 2 2 1 2 2 1 1 1 2 2 1 2 1 2 2 1 2 1 1 2 2 2 1 1 1 2 1 2 2
## [41005] 1 1 2 1 2 1 2 1 1 2 2 1 1 2 1 1 2 1 1 1 1 1 1 1 2 1 2 1 2 1 1 2 1 1 1 2
## [41041] 2 2 2 1 2 2 1 1 1 2 1 1 2 1 1 2 1 2 2 2 2 1 1 1 2 1 1 2 1 1 1 1 2 1 2 2
## [41077] 2 2 2 1 2 2 1 2 2 2 2 2 1 1 2 2 2 1 1 2 1 2 2 2 1 2 1 1 1 1 1 1 2 1 2 1
## [41113] 2 1 1 2 2 2 1 2 1 2 2 2 2 2 2 1 2 2 2 2 1 1 1 1 1 1 1 2 2 2 1 2 2 1 2 2
## [41149] 2 1 1 2 2 2 1 2 1 2 1 2 2 1 2 1 2 2 2 2 1 2 2 2 2 2 2 1 2 1 2 1 2 2 1 2
## [41185] 1 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 1 1 2 1 2 1 2 2 2 1 2 2 2 1 2 2 2
## [41221] 2 1 1 1 1 1 2 1 2 1 2 2 1 1 2 1 2 2 2 1 1 1 2 1 1 2 2 2 1 1 2 1 1 1 2 2
## [41257] 2 2 1 2 1 2 1 1 2 2 1 2 1 2 2 1 2 2 1 2 2 2 1 2 2 1 1 2 1 2 1 2 2 1 2 1
## [41293] 2 2 2 2 2 2 1 2 2 2 1 1 2 1 2 1 2 2 1 2 2 2 1 2 1 1 2 1 1 2 2 2 2 2 2 2
## [41329] 1 1 2 2 2 2 2 1 2 2 1 2 1 2 2 1 1 2 2 1 2 1 2 2 1 2 2 1 1 2 2 2 2 2 1 1
## [41365] 2 1 2 2 2 2 1 1 2 1 2 1 2 1 2 2 1 2 2 2 2 1 1 2 2 1 2 1 2 2 1 2 2 2 2 1
## [41401] 1 2 1 1 2 1 2 2 1 2 2 2 2 2 1 1 2 1 2 1 2 2 2 1 1 1 1 1 1 2 1 2 2 1 2 1
## [41437] 2 2 2 2 1 1 2 1 2 1 1 1 1 2 2 2 2 1 1 2 1 2 1 1 1 1 1 1 2 1 2 2 2 2 2 1
## [41473] 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1 2 2 1 1 2 1 1 2 2 1 1 1 2 2 2 2 2 2 1 1 1
## [41509] 2 2 2 1 1 1 2 2 2 2 2 1 2 2 2 1 2 2 1 2 2 2 2 1 2 2 2 2 1 1 2 1 2 1 1 2
## [41545] 2 2 1 1 2 2 1 1 2 2 2 2 1 1 1 1 2 1 1 2 2 2 2 2 1 2 2 2 2 1 2 2 1 1 2 2
## [41581] 1 2 1 1 2 1 2 2 1 1 1 1 2 2 1 2 2 2 2 2 1 1 2 1 2 1 1 2 2 1 1 2 1 2 2 2
## [41617] 1 2 1 2 1 1 1 2 2 1 2 2 1 1 2 1 2 2 1 2 2 2 1 1 1 1 1 2 2 2 2 1 1 2 1 2
## [41653] 2 2 1 1 2 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 2 1 2 2 1 2 2 2 2 1 1 1 2 2 1 2
## [41689] 2 1 2 1 1 1 2 1 2 1 1 1 1 1 2 1 1 1 2 2 2 1 1 2 1 2 2 1 2 2 1 2 1 2 2 1
## [41725] 2 2 2 2 2 2 1 2 1 1 1 2 1 2 2 2 2 1 2 1 2 1 1 1 2 2 1 1 1 1 2 2 2 1 1 2
## [41761] 2 1 1 2 2 2 1 1 2 2 2 2 2 2 1 2 2 2 1 1 2 2 1 2 2 2 1 2 1 1 1 2 1 2 2 2
## [41797] 1 2 2 1 1 1 2 1 1 2 1 2 1 1 1 2 2 2 1 1 1 2 2 1 2 2 2 1 2 1 1 2 2 2 2 2
## [41833] 2 2 1 2 2 2 2 2 2 1 2 1 2 1 2 2 1 1 1 1 2 2 2 2 1 2 2 1 2 2 2 2 2 1 2 2
## [41869] 1 2 1 1 1 2 1 1 2 1 2 1 1 2 2 2 1 1 1 2 2 1 2 1 1 2 2 2 2 1 1 2 1 2 2 2
## [41905] 2 2 1 2 2 2 1 2 2 2 1 1 1 1 2 1 1 1 1 1 1 2 1 1 2 2 2 1 1 1 1 2 2 1 1 2
## [41941] 2 2 2 2 2 2 2 2 1 1 2 1 1 1 2 1 2 2 1 1 1 2 1 1 2 2 2 1 2 2 2 1 1 2 1 2
## [41977] 2 2 1 2 1 2 1 1 1 1 2 2 1 2 2 2 1 2 1 1 2 2 1 1 1 1 2 2 1 1 2 1 1 1 1 2
## [42013] 2 1 1 1 2 2 1 1 2 2 1 2 1 2 2 1 2 1 1 1 2 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2
## [42049] 2 2 1 2 2 1 1 2 2 1 2 2 1 2 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 1 1 2
## [42085] 1 1 2 1 2 2 1 1 2 2 1 1 1 1 1 1 1 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 1 1 1 1
## [42121] 1 2 2 2 2 2 2 2 2 2 2 1 2 1 1 1 1 2 1 1 1 2 2 2 2 2 2 2 2 1 2 1 1 2 2 1
## [42157] 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 2 2 1 2 2 1 2 2 1 2 1 1 1 2 1 2 2 1 2 2 2
## [42193] 2 1 2 2 1 2 2 1 2 1 2 2 2 2 2 2 2 2 1 2 1 1 2 2 1 1 2 2 1 2 1 1 1 2 2 2
## [42229] 2 2 2 1 2 1 1 1 1 1 2 1 2 2 2 1 1 2 2 1 1 2 1 1 1 1 2 2 1 1 1 2 2 1 2 2
## [42265] 1 1 2 2 2 2 1 2 2 2 1 2 1 2 2 2 1 1 2 1 1 1 2 1 1 1 1 2 1 2 2 2 2 2 2 2
## [42301] 2 1 2 2 2 2 2 2 1 2 1 2 1 2 2 2 1 2 1 1 2 1 2 2 1 2 1 2 2 2 1 2 1 2 1 1
## [42337] 2 2 1 2 2 2 2 2 1 1 1 2 1 2 2 2 2 2 1 2 1 1 2 2 1 1 2 2 1 1 1 2 2 2 1 1
## [42373] 1 1 1 2 2 2 1 1 2 1 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 2 2 2
## [42409] 2 2 2 2 2 1 2 1 2 2 1 2 1 2 1 1 2 2 2 2 2 1 1 2 2 2 2 2 1 1 1 2 1 1 2 2
## [42445] 2 2 2 2 2 1 1 1 1 2 1 1 2 1 1 1 1 2 2 2 2 2 1 2 1 2 2 1 1 2 2 2 1 1 2 1
## [42481] 1 1 2 2 2 2 2 2 2 1 1 2 2 1 2 2 1 2 2 2 1 2 2 2 2 1 1 1 1 2 1 2 2 2 2 2
## [42517] 2 1 2 2 2 2 1 1 2 2 1 1 2 1 2 1 1 2 2 2 1 2 2 1 1 1 1 2 1 2 2 2 2 2 2 1
## [42553] 2 1 2 2 2 1 2 1 2 2 2 1 2 2 2 2 2 1 2 2 2 2 1 2 1 2 2 2 2 2 1 2 2 2 2 2
## [42589] 2 2 2 2 2 1 1 2 1 2 2 1 1 2 2 1 2 1 2 1 1 1 2 1 2 1 1 2 1 2 1 2 1 2 1 1
## [42625] 1 1 2 1 1 2 2 1 2 1 1 1 2 2 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 1 2 1 2 2 1 2
## [42661] 1 2 2 2 2 2 2 2 2 1 2 2 2 1 1 2 1 2 2 2 1 1 2 1 2 2 2 1 1 1 1 1 1 2 2 2
## [42697] 2 1 2 2 2 2 2 2 2 1 1 2 2 2 1 1 1 1 2 2 1 1 1 1 2 1 1 1 2 1 2 2 1 2 1 2
## [42733] 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 2 1 2 1 2 2 2 2 2 1 1 2 2 2 1 2
## [42769] 2 1 1 2 1 2 2 1 1 1 1 2 2 2 1 1 1 2 1 2 1 1 1 2 1 2 2 2 2 2 2 1 1 2 2 2
## [42805] 2 2 2 1 2 2 1 2 2 1 1 2 2 1 2 1 2 2 1 2 2 1 1 2 1 2 1 2 2 2 2 1 2 2 2 1
## [42841] 1 2 1 2 2 1 1 2 2 1 2 2 2 2 1 2 1 2 1 1 2 1 1 1 2 1 1 1 2 2 2 1 2 2 1 1
## [42877] 1 2 1 2 2 2 2 1 2 2 1 2 2 1 1 2 1 2 1 1 2 1 1 2 2 2 2 2 2 1 2 1 2 2 1 2
## [42913] 2 1 1 2 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1 1 2 1 1 2 1 2 1 1 1 2 2 2 1 2 1 1
## [42949] 1 1 2 1 2 2 1 2 2 1 2 2 2 2 2 2 1 1 2 1 2 2 2 2 1 2 1 1 2 2 2 1 2 2 1 2
## [42985] 2 1 2 2 2 2 2 2 1 2 1 2 2 2 2 2 1 1 2 1 1 1 2 1 1 2 2 1 1 2 1 1 2 2 2 2
## [43021] 2 2 2 2 2 1 2 2 1 2 1 1 2 1 2 2 2 2 2 1 2 1 1 2 1 2 2 2 2 2 2 2 1 2 2 1
## [43057] 1 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 1 2 2 1 1 2 2 2 1 1 1 1 2 1 1 1 2 1 2 2
## [43093] 1 2 2 1 2 1 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 1 2 1 1 2 2 2 1 1 1 1 1
## [43129] 2 2 1 1 1 2 2 2 1 1 1 2 2 1 2 2 1 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 1
## [43165] 1 1 2 1 2 2 1 1 2 1 2 1 1 2 1 2 1 2 1 2 1 1 1 1 1 2 1 2 2 1 1 2 2 2 2 2
## [43201] 1 2 2 2 2 1 1 2 1 2 1 1 1 1 2 2 2 2 1 1 2 2 2 1 1 2 2 1 2 1 2 1 2 1 2 1
## [43237] 2 2 2 1 2 2 2 2 1 1 1 1 1 2 2 2 1 2 2 1 1 2 1 1 2 2 1 2 1 1 2 2 1 2 2 1
## [43273] 1 2 2 1 2 2 1 2 2 2 2 1 1 2 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 1 2 2 2 2 1 1
## [43309] 2 2 1 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 1 2 1 1
## [43345] 2 1 2 2 2 1 2 1 1 1 1 2 2 2 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 1 2 1 1 2 1
## [43381] 2 1 2 2 1 2 1 2 1 1 2 2 1 2 2 2 2 1 2 1 2 2 2 2 1 1 2 2 1 1 2 2 2 2 2 2
## [43417] 1 1 2 2 1 2 2 2 2 2 1 1 1 2 2 2 1 2 1 1 2 2 1 1 1 2 1 2 2 1 1 1 2 1 2 1
## [43453] 2 2 2 1 2 2 1 2 1 2 2 1 1 2 2 2 2 2 1 2 1 2 1 1 2 2 2 2 2 2 1 2 1 2 2 2
## [43489] 2 2 2 2 1 2 2 2 2 2 1 2 1 2 2 1 2 1 1 2 2 1 1 2 2 2 2 1 2 1 1 2 1 2 2 1
## [43525] 1 2 2 1 1 2 1 2 2 1 2 2 2 2 1 2 1 1 1 2 1 1 1 1 1 2 2 2 2 1 1 2 2 1 1 1
## [43561] 1 2 1 1 2 2 1 2 1 1 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 1 2 1 1 2 1 1 1 1 2 2
## [43597] 1 2 2 2 1 1 2 1 2 1 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 1 2 1 2 1 1 1 1 2 2 1
## [43633] 2 2 2 1 1 2 2 2 1 1 2 2 2 1 1 2 2 1 2 1 1 2 2 2 2 1 1 2 1 2 1 1 2 2 2 2
## [43669] 2 1 2 1 2 2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 1 2 2 1 2 2 1 1 1 1 2 2
## [43705] 2 2 1 1 2 1 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 1 2 2 1 2 1
## [43741] 1 2 1 1 2 1 2 2 2 1 1 2 2 2 1 1 1 2 2 1 1 1 2 1 1 2 1 1 2 1 1 2 2 2 1 2
## [43777] 1 2 2 2 2 1 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 1 1 2 2 1 1 2 2 2 1 1 1 1 1 1
## [43813] 2 2 2 1 2 2 2 2 2 1 2 2 2 1 1 2 1 1 2 1 2 2 1 2 1 2 2 2 2 2 1 1 1 2 2 2
## [43849] 2 1 1 1 1 2 2 2 1 2 2 2 1 2 2 2 1 1 2 1 2 2 2 1 1 2 2 2 2 2 1 1 1 2 2 1
## [43885] 1 2 2 2 2 1 2 1 2 2 1 2 2 2 1 2 1 1 2 2 2 2 1 2 1 1 1 1 1 2 1 1 1 2 2 1
## [43921] 2 2 1 2 1 1 2 1 1 1 2 2 2 1 1 1 1 2 1 2 2 2 1 1 1 2 2 1 2 1 1 2 2 2 2 2
## [43957] 2 2 2 1 2 2 1 2 2 2 1 1 1 1 1 1 1 1 2 1 2 2 2 1 1 2 2 1 1 1 2 1 1 2 2 2
## [43993] 2 1 2 1 1 2 1 2 2 1 2 2 1 1 2 1 2 1 1 2 2 1 1 1 2 1 1 2 2 2 2 2 2 2 2 2
## [44029] 2 1 2 1 2 2 1 2 1 2 1 1 1 2 1 1 1 2 2 2 2 2 1 2 1 1 2 2 1 2 1 2 1 2 2 2
## [44065] 1 1 2 2 2 2 2 2 1 1 2 1 1 2 1 1 1 1 1 1 2 1 2 1 2 1 1 1 1 2 2 2 2 2 2 2
## [44101] 2 1 2 1 2 2 2 2 2 2 1 1 1 2 1 2 2 2 2 2 2 2 1 1 2 2 1 1 2 2 2 2 1 2 2 1
## [44137] 1 1 2 1 1 1 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 2 1 2 1 2 1 1 2 2 1 2 1
## [44173] 1 2 2 1 1 1 1 2 2 2 2 2 2 1 1 2 1 1 2 1 2 2 2 2 2 1 1 1 2 2 1 2 1 1 2 2
## [44209] 2 2 1 1 2 2 2 1 1 2 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 2 1 2 1 2 2 2 2 2 2 1
## [44245] 1 2 2 2 2 1 1 1 2 2 1 1 1 2 2 2 1 2 2 1 2 1 1 2 2 2 1 1 2 2 1 1 2 1 2 1
## [44281] 1 1 1 1 2 2 2 1 1 2 2 2 2 2 2 1 2 2 1 2 2 1 1 1 1 2 1 1 1 1 2 2 2 2 2 2
## [44317] 1 1 1 2 1 1 1 2 2 1 2 1 1 1 1 2 2 2 1 2 1 1 2 2 2 2 1 1 2 2 2 2 1 2 2 2
## [44353] 2 1 2 2 2 2 1 2 2 1 2 1 1 1 2 1 2 1 2 1 1 1 1 2 2 1 2 2 1 2 2 1 2 2 1 2
## [44389] 2 2 2 1 1 2 1 2 1 2 2 2 2 1 1 1 2 2 2 2 1 2 1 2 1 2 1 1 2 1 2 1 1 2 2 2
## [44425] 2 2 2 2 2 1 2 2 1 2 1 1 1 1 2 2 2 1 2 2 2 2 2 1 1 2 1 1 2 2 1 2 2 2 1 1
## [44461] 2 2 1 2 1 1 1 1 2 1 1 2 1 2 1 1 1 1 2 2 1 1 2 2 2 1 1 1 1 2 1 2 2 2 2 2
## [44497] 1 2 2 1 1 2 1 1 2 1 1 1 2 1 1 2 2 2 1 2 1 2 1 1 2 2 2 1 1 2 2 1 2 1 2 2
## [44533] 2 2 2 1 2 2 1 2 2 1 2 2 1 2 2 2 1 1 2 2 2 2 2 1 1 1 1 1 1 1 2 1 2 1 2 2
## [44569] 1 2 2 2 1 2 1 1 2 1 2 1 1 1 2 2 2 2 2 1 2 1 1 1 1 2 2 1 2 2 1 2 1 2 1 2
## [44605] 2 2 2 1 2 1 2 1 2 2 2 2 1 1 2 2 1 1 1 1 1 2 2 1 1 1 2 1 2 2 2 2 2 2 1 2
## [44641] 1 2 2 2 2 2 2 2 2 2 1 2 1 2 1 1 1 1 2 2 2 1 2 1 1 2 1 1 1 1 1 2 2 2 1 1
## [44677] 2 2 2 1 1 1 2 2 2 2 1 2 1 1 1 2 2 2 2 2 1 2 1 2 2 1 2 2 2 2 2 1 2 2 2 1
## [44713] 1 2 2 2 1 1 2 1 1 1 1 2 1 1 2 1 2 1 1 1 2 2 1 2 1 1 2 1 1 2 1 1 2 1 1 2
## [44749] 1 1 2 2 2 1 1 2 2 1 2 2 2 1 1 1 1 2 2 2 2 2 1 2 2 1 1 2 1 1 2 2 1 2 2 1
## [44785] 2 2 1 1 2 1 1 1 2 2 2 1 2 2 1 1 2 2 2 1 1 2 2 1 2 1 1 1 1 2 2 1 2 2 2 1
## [44821] 2 2 2 1 2 1 1 1 1 2 1 2 1 1 2 1 2 1 2 2 1 2 2 1 1 2 2 1 2 1 2 2 2 2 1 2
## [44857] 2 1 2 2 1 2 1 1 2 2 2 2 2 2 2 1 2 2 1 2 1 2 2 1 1 2 1 1 1 2 1 2 1 2 1 1
## [44893] 1 2 1 2 1 1 1 1 1 2 2 2 2 2 2 1 2 2 1 2 2 2 2 2 2 1 1 1 2 1 2 2 2 1 2 1
## [44929] 2 2 2 1 1 1 1 1 2 1 1 1 1 2 1 2 2 1 1 2 1 1 1 2 2 2 2 1 2 2 1 2 2 2 1 2
## [44965] 2 1 2 2 1 1 1 2 1 2 2 2 1 2 1 1 2 2 1 2 2 2 1 1 2 1 1 1 2 2 1 2 1 2 1 2
## [45001] 1 1 2 1 2 2 2 2 1 1 2 2 2 1 1 2 1 2 2 2 1 1 2 2 2 2 2 2 2 2 1 1 1 1 2 1
## [45037] 1 1 1 1 2 2 2 1 1 2 2 2 2 2 2 1 2 1 2 2 2 1 1 1 2 1 2 1 2 2 2 2 1 1 2 1
## [45073] 1 1 2 1 1 1 2 2 2 2 2 2 1 2 2 1 2 2 1 2 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 2
## [45109] 2 2 2 1 1 1 1 1 2 1 1 2 2 2 2 2 1 2 2 1 1 2 2 1 2 1 2 2 2 2 1 2 2 2 2 1
## [45145] 2 1 2 1 2 1 1 1 1 1 1 1 1 1 2 2 1 2 1 1 2 2 1 1 2 2 2 1 1 2 1 2 2 2 1 2
## [45181] 2 2 1 1 2 1 1 2 1 2 1 2 2 2 1 1 2 2 1 2 1 1 2 2 1 1 2 2 1 2 2 1 2 2 2 2
## [45217] 1 2 1 1 1 2 2 2 2 1 2 1 2 1 1 1 1 1 1 1 2 1 1 1 2 2 1 2 2 1 2 1 2 1 2 1
## [45253] 2 1 2 2 1 1 2 1 2 2 2 1 1 1 2 1 2 1 2 1 2 2 2 1 1 1 1 2 2 1 1 1 2 1 2 1
## [45289] 1 2 1 1 2 2 2 2 2 1 2 1 2 2 2 2 1 2 2 1 2 1 1 1 2 2 1 2 1 1 1 1 2 2 1 2
## [45325] 1 2 1 2 2 1 2 1 2 2 2 2 1 2 2 2 1 1 1 2 2 2 1 2 2 2 2 2 1 1 2 1 2 1 1 2
## [45361] 2 2 1 1 1 2 1 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 1 2 2 1 1 2
## [45397] 1 2 2 2 2 1 2 2 2 1 1 2 2 2 2 1 2 1 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 1 1 1
## [45433] 1 2 2 1 1 2 2 1 1 1 1 1 1 2 2 2 1 1 2 2 2 2 1 2 1 1 2 2 2 2 2 2 2 2 2 2
## [45469] 2 2 2 2 2 2 1 2 2 1 2 2 1 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 1 2 2 1 1
## [45505] 2 1 1 2 2 2 2 1 2 1 1 2 1 2 1 1 2 1 1 1 2 1 1 2 2 1 2 1 2 2 2 2 2 1 1 2
## [45541] 1 1 1 1 1 1 2 2 2 1 1 2 1 1 1 1 2 1 2 1 2 1 2 2 1 2 1 2 2 1 1 1 2 2 2 2
## [45577] 2 2 2 2 1 1 2 2 1 2 2 1 1 2 2 2 2 2 2 2 2 1 2 1 2 1 1 1 2 2 2 2 2 2 2 2
## [45613] 1 1 1 2 2 2 1 2 2 1 2 1 2 1 2 2 2 2 2 1 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 1
## [45649] 2 1 1 2 1 1 2 1 2 2 2 2 2 1 1 2 1 2 2 2 2 1 1 2 1 2 2 2 1 2 2 2 1 2 2 1
## [45685] 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 1 2 1 1 1 2 2 2 1 2 1 2 2 1
## [45721] 2 2 1 1 2 2 2 2 1 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 2 2 1 2 2 2 2 2 2 1
## [45757] 1 1 1 1 1 2 2 2 1 1 1 1 1 2 1 1 2 2 1 2 2 1 1 2 2 2 1 2 2 2 1 2 2 1 2 1
## [45793] 2 2 2 2 2 1 2 2 1 2 2 1 2 2 1 2 2 2 2 1 1 1 1 2 1 1 1 2 1 2 1 2 1 2 1 1
## [45829] 1 1 2 2 1 2 1 2 2 2 1 2 1 1 1 1 2 2 2 2 1 2 2 2 2 1 2 2 1 2 1 1 1 2 1 2
## [45865] 2 1 2 2 1 2 1 2 1 2 1 2 1 1 2 2 2 1 2 2 1 1 1 1 1 1 1 2 1 2 1 2 1 2 2 2
## [45901] 1 2 1 1 2 2 1 2 2 1 1 2 2 1 1 2 1 1 1 1 2 1 1 2 2 2 1 1 1 2 1 2 1 2 2 2
## [45937] 1 1 1 2 2 2 2 1 2 2 2 2 2 2 2 1 2 1 1 1 1 2 2 1 2 1 1 2 1 2 1 2 2 1 1 1
## [45973] 1 1 1 2 1 1 1 2 2 2 1 1 2 1 2 2 1 1 2 1 1 2 1 1 2 2 1 2 1 2 2 2 2 2 2 2
## [46009] 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 1 2 2 1 1 1 1 1 1
## [46045] 2 1 2 1 1 2 1 1 1 1 1 2 2 2 1 2 1 2 1 2 2 1 2 2 1 2 2 1 1 2 1 2 2 2 1 2
## [46081] 1 2 2 1 2 2 2 2 1 1 2 1 1 2 2 2 1 1 2 1 1 2 1 2 1 1 1 1 2 1 2 2 2 1 1 2
## [46117] 2 1 2 1 1 1 2 2 2 2 1 2 1 1 2 1 2 2 1 1 2 2 2 2 2 1 2 2 2 1 2 2 2 2 1 2
## [46153] 2 2 2 1 1 1 1 2 1 2 1 1 2 2 2 1 1 1 2 2 1 2 1 1 2 1 1 1 1 1 2 2 2 1 2 2
## [46189] 2 2 1 2 2 1 2 1 1 1 2 2 2 2 2 1 2 1 2 1 2 2 2 1 2 2 2 1 2 2 2 1 1 2 1 1
## [46225] 1 1 1 2 1 1 2 2 1 1 2 1 1 2 1 2 2 1 2 1 1 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1
## [46261] 1 2 2 2 2 2 2 1 2 2 1 1 1 2 1 2 2 1 1 2 2 2 1 2 2 2 1 2 2 2 1 2 1 1 1 2
## [46297] 2 2 2 1 2 2 2 1 2 2 1 2 2 2 2 1 2 1 2 2 1 2 2 2 1 1 1 2 2 1 2 1 1 1 2 2
## [46333] 2 1 1 2 1 1 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 1 1 1 1 1 2 1 2 1 2 2 1 2 2 1
## [46369] 2 1 1 2 1 2 1 2 2 1 2 2 2 2 2 2 1 2 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 2 2 1
## [46405] 2 2 1 2 2 1 2 2 2 2 2 2 1 1 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 1
## [46441] 2 1 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 1 2 1 2 1 1 2 2 2 2 2 2 1 1 2 2 2 1
## [46477] 2 1 2 1 1 2 2 1 2 1 1 1 1 2 2 2 1 2 1 2 1 1 2 2 1 2 2 1 1 2 1 2 1 1 2 1
## [46513] 2 2 2 2 1 2 2 1 1 1 2 2 1 2 2 1 2 1 2 2 1 1 1 1 2 1 1 1 1 1 2 2 2 2 1 2
## [46549] 2 1 1 1 2 2 2 2 1 1 2 1 1 1 2 2 1 2 2 1 2 1 1 1 1 2 1 1 2 1 2 1 1 2 1 2
## [46585] 2 1 1 1 2 1 1 2 2 1 2 2 2 1 2 2 2 1 1 2 1 2 1 2 1 1 2 1 1 2 1 2 2 1 2 1
## [46621] 1 1 1 1 2 1 2 2 2 1 2 1 2 1 1 1 2 2 2 2 2 1 2 2 2 1 1 1 1 2 2 2 2 1 1 1
## [46657] 2 2 1 2 2 1 2 1 2 1 2 2 2 2 1 2 1 2 2 1 1 2 2 2 2 2 2 1 2 2 2 1 2 2 2 1
## [46693] 2 2 1 2 1 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 1 1 1 2 1 1 1 1 1 2 2
## [46729] 2 1 2 1 2 2 1 1 2 1 2 2 2 2 2 2 2 1 1 1 2 2 1 2 2 1 2 2 2 2 2 2 2 2 1 1
## [46765] 1 2 1 1 1 1 2 1 1 1 1 2 2 2 2 1 1 2 1 2 2 1 2 2 1 1 2 1 2 2 2 2 1 2 2 2
## [46801] 2 1 1 2 2 1 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 2 2 1 1 2
## [46837] 2 2 2 2 2 1 2 1 2 1 2 1 2 2 1 2 1 1 2 1 1 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1
## [46873] 2 2 2 2 1 1 2 2 1 2 1 2 2 1 2 2 1 1 2 1 2 2 2 1 2 1 2 1 1 1 2 2 2 1 2 1
## [46909] 1 1 1 2 2 2 1 1 1 2 1 2 2 1 2 2 2 2 2 2 1 1 2 2 1 1 2 2 2 2 2 2 1 1 2 1
## [46945] 1 2 2 2 2 2 1 1 1 1 1 1 2 1 1 1 2 2 2 2 1 2 2 1 1 2 1 2 2 1 2 2 2 1 2 2
## [46981] 2 1 1 1 2 1 2 1 1 2 2 1 1 2 2 1 2 1 2 2 2 1 1 1 2 1 2 2 2 2 2 1 2 2 1 2
## [47017] 1 2 2 2 1 1 2 1 1 1 2 1 2 1 2 2 1 2 2 2 1 1 2 2 1 1 1 1 1 2 1 2 1 2 1 2
## [47053] 2 2 2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 2 2 2 2 1 1 1 1 2 1 2 1 2 1 2 1 2
## [47089] 2 2 2 2 1 2 1 2 1 1 1 2 1 1 1 1 2 1 2 1 1 1 1 1 2 1 1 1 2 2 2 2 2 2 1 2
## [47125] 2 2 2 2 2 2 2 2 2 1 1 2 1 2 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 2 2 1
## [47161] 1 1 1 1 1 1 2 1 2 2 1 1 2 1 2 2 2 2 1 2 1 1 2 2 1 2 2 2 2 2 2 2 1 2 2 1
## [47197] 1 2 1 1 1 2 2 2 2 2 2 2 1 1 2 2 2 2 2 1 2 1 1 2 1 1 2 2 2 2 1 2 2 2 2 1
## [47233] 2 2 2 2 1 1 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 2 2 1 1 2 1 1 1 1 2 2 1 2 2 1
## [47269] 2 1 1 1 2 1 1 2 2 2 1 1 2 2 2 1 1 2 1 2 2 2 2 1 2 2 2 2 2 1 2 1 1 2 2 1
## [47305] 2 2 1 1 1 1 1 1 2 1 1 2 2 2 2 2 1 2 1 1 2 1 1 2 1 1 1 2 2 2 2 1 1 1 2 2
## [47341] 1 1 2 2 2 2 1 2 1 1 2 1 2 1 2 1 1 2 2 2 2 1 2 2 2 2 1 1 1 1 1 2 2 2 2 2
## [47377] 1 1 2 1 2 2 1 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 2 1 2 2 2 2
## [47413] 1 2 2 1 2 2 2 1 1 2 1 1 1 2 2 1 2 1 1 1 1 2 2 2 2 1 2 2 1 1 1 1 1 1 2 1
## [47449] 2 1 2 1 1 1 2 2 1 2 1 2 2 2 2 1 1 2 1 2 2 2 1 1 2 1 1 2 1 1 2 1 2 2 2 1
## [47485] 2 2 2 1 1 2 1 1 1 2 2 2 1 2 1 2 1 1 2 2 2 2 1 1 1 1 2 1 2 1 1 1 2 1 2 1
## [47521] 1 2 1 1 2 1 2 2 2 2 2 1 2 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 1 2 1 2
## [47557] 2 1 1 2 2 1 1 2 1 1 2 1 2 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 2 1 2 2 1
## [47593] 2 1 2 2 2 2 1 2 1 1 2 1 1 2 1 2 2 2 1 1 1 2 2 2 2 1 2 2 2 2 2 2 2 2 1 1
## [47629] 1 1 2 1 2 2 2 1 2 1 2 1 2 2 1 2 2 1 1 2 1 2 1 2 2 1 1 1 2 2 2 2 2 1 1 1
## [47665] 2 2 2 2 2 1 1 1 2 1 2 1 1 1 1 2 1 2 1 1 1 1 1 1 1 2 1 2 2 1 2 2 1 2 2 2
## [47701] 1 1 2 2 1 2 2 1 1 2 2 1 1 1 2 1 2 1 2 1 2 1 1 2 2 1 1 1 1 1 2 2 2 2 2 1
## [47737] 1 2 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 2 2 1 1 2 2 1 2 1 2 1 2 2 2 2 2 2 2 1
## [47773] 1 1 2 2 2 2 1 1 2 2 1 2 2 1 2 1 1 1 2 2 1 2 1 2 1 2 2 2 1 2 2 2 2 2 1 1
## [47809] 2 2 2 1 1 2 2 1 1 1 1 2 1 1 2 2 2 2 2 2 1 1 1 2 2 2 2 1 1 1 1 2 2 1 2 2
## [47845] 2 1 2 1 1 1 1 2 2 2 2 1 2 2 2 2 1 2 2 1 2 2 2 2 2 2 2 1 2 1 1 2 1 2 2 2
## [47881] 2 2 1 2 2 1 2 2 2 2 2 2 2 1 1 2 1 1 2 1 2 2 2 1 2 1 2 1 1 1 1 1 1 2 2 1
## [47917] 1 2 2 2 1 2 1 2 1 1 1 1 2 2 2 1 2 2 2 2 1 1 2 2 1 1 2 2 2 2 1 2 2 1 2 1
## [47953] 2 1 2 2 1 2 2 1 2 1 2 2 2 2 1 1 2 1 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 1 1 2
## [47989] 1 2 2 1 2 1 2 1 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 1 1 2 1 2 1 1 1 2 2 2 2 2
## [48025] 2 1 2 1 1 2 2 1 2 1 2 2 1 1 1 2 2 2 2 2 2 2 1 2 2 2 1 2 1 2 2 2 1 1 2 2
## [48061] 2 1 2 2 2 2 1 2 2 1 2 2 2 1 1 1 1 2 1 2 1 1 1 1 2 1 2 2 2 1 2 2 2 1 2 1
## [48097] 1 2 2 1 2 2 2 1 1 1 2 1 2 1 1 1 2 2 1 2 2 2 2 1 1 2 1 1 2 1 2 2 2 1 2 2
## [48133] 1 1 2 1 2 2 2 1 1 1 1 1 2 1 2 2 2 1 1 1 1 2 2 2 2 2 2 1 2 1 2 2 2 2 1 2
## [48169] 2 2 2 2 1 1 1 1 2 1 1 2 1 1 1 2 2 1 2 2 2 1 2 1 1 2 1 1 2 2 2 1 2 2 1 1
## [48205] 1 2 2 2 2 2 2 1 2 1 2 1 2 2 2 2 2 1 2 2 1 2 2 2 2 1 2 1 2 1 2 2 2 2 1 1
## [48241] 1 1 2 1 2 1 1 1 1 2 1 2 1 1 1 2 1 1 1 2 2 1 2 2 2 2 2 2 2 2 2 1 2 1 2 1
## [48277] 2 1 1 2 2 1 1 1 2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2 1 2 2 2 2 1 2 2 2 2 2
## [48313] 1 2 1 1 2 2 1 1 1 2 1 2 1 1 2 2 2 2 2 2 1 2 1 2 1 2 2 1 1 1 1 2 1 1 2 2
## [48349] 2 1 2 2 1 2 1 2 1 2 2 2 2 1 2 2 2 2 2 2 1 1 2 2 1 1 1 1 2 1 1 1 2 2 2 1
## [48385] 1 1 1 1 2 2 1 2 1 2 2 2 2 2 2 2 1 2 1 2 1 1 1 1 2 2 2 2 2 1 1 2 2 2 1 2
## [48421] 2 1 2 2 2 2 1 2 1 2 2 2 1 2 2 2 1 2 2 1 1 2 1 1 2 1 1 2 2 1 2 1 2 2 2 1
## [48457] 2 1 1 1 1 2 1 1 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 1 2 1 1 1 2 1 1 2 2 2 1 1
## [48493] 2 1 1 2 1 2 2 1 2 1 2 1 2 1 1 2 1 1 1 2 1 2 1 2 2 1 2 2 2 2 2 1 2 2 1 2
## [48529] 1 1 2 2 1 2 1 1 2 2 1 1 1 1 2 2 2 1 2 2 2 2 2 1 2 2 1 2 1 2 2 2 1 2 1 2
## [48565] 2 1 1 1 2 1 2 2 1 1 2 2 1 2 1 1 1 1 2 1 1 2 1 2 2 2 2 1 1 2 2 2 1 1 1 1
## [48601] 2 2 2 1 1 2 2 1 2 1 1 1 1 2 2 1 2 1 2 1 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1
## [48637] 1 1 2 2 1 2 2 1 1 2 2 2 1 1 2 1 2 2 2 1 1 2 1 2 2 2 1 1 2 2 2 1 2 2 1 1
## [48673] 1 1 2 1 2 2 2 1 2 2 2 2 2 1 2 1 1 1 1 2 2 2 2 1 2 2 1 2 1 2 1 2 2 2 1 1
## [48709] 2 1 1 2 2 1 2 1 1 1 1 1 2 1 2 1 2 1 1 1 2 2 2 2 1 1 1 1 1 2 1 2 2 2 1 1
## [48745] 1 1 2 2 1 2 1 2 1 1 2 2 2 2 1 2 1 1 1 1 2 2 2 1 2 2 2 2 1 2 2 1 2 2 2 1
## [48781] 2 2 2 1 2 2 2 2 2 1 1 2 1 2 1 2 1 1 2 2 1 1 2 2 1 2 1 1 1 2 2 2 1 2 1 1
## [48817] 1 1 1 2 2 1 1 2 1 1 1 1 2 1 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 1 2 2 2 1 2 1
## [48853] 1 1 1 1 2 1 2 1 2 1 2 2 2 2 2 1 1 1 2 2 2 1 1 2 1 2 2 2 2 1 1 1 1 2 1 2
## [48889] 1 2 2 1 1 2 1 2 2 2 1 2 2 1 1 2 1 2 1 1 1 1 1 2 2 1 2 2 1 2 1 1 2 2 1 1
## [48925] 2 1 1 2 1 1 2 2 1 2 2 1 1 2 2 1 2 1 2 2 2 2 2 1 2 2 1 2 2 2 1 1 1 2 2 2
## [48961] 2 1 1 2 1 1 1 1 2 1 2 1 2 2 2 1 2 2 2 1 1 1 2 1 2 1 2 1 1 1 1 2 1 2 1 2
## [48997] 1 2 1 2 2 2 1 1 1 2 1 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 2 2 1 2 1 2 2 2 2 2
## [49033] 2 2 2 1 2 2 1 1 1 2 1 2 1 2 1 1 1 2 2 1 2 1 1 2 2 1 1 1 1 1 2 1 2 2 2 1
## [49069] 1 2 1 1 1 1 1 2 2 2 2 2 2 1 1 1 2 1 2 2 2 1 2 2 2 2 2 1 2 2 1 1 2 2 1 1
## [49105] 1 1 1 2 2 2 2 1 1 1 1 2 2 2 1 1 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2
## [49141] 2 1 1 1 2 1 1 1 1 2 2 1 1 2 1 1 2 2 2 2 2 1 1 2 1 1 1 2 1 2 2 1 2 2 2 1
## [49177] 1 2 2 1 2 2 1 1 1 2 2 1 2 2 1 2 2 1 2 1 2 2 2 1 1 2 2 1 1 1 1 2 2 2 2 1
## [49213] 1 2 2 2 1 1 1 2 1 2 1 1 1 1 1 2 1 2 1 1 2 2 1 2 2 2 2 1 1 1 1 1 2 2 2 2
## [49249] 2 2 1 2 1 1 1 2 1 1 1 2 1 2 1 2 1 1 1 2 2 2 2 1 2 2 1 2 1 1 1 2 2 1 2 2
## [49285] 1 2 2 2 1 1 2 1 2 1 1 2 2 1 2 1 2 1 1 2 1 1 1 2 2 2 2 1 2 1 1 2 1 2 1 2
## [49321] 1 2 1 1 2 2 2 1 2 2 1 2 2 1 1 1 2 1 2 2 1 2 1 1 1 2 2 2 2 2 1 1 2 2 1 1
## [49357] 2 2 2 2 1 2 1 2 1 2 2 1 2 1 1 1 2 1 1 1 1 2 2 1 2 1 1 2 2 2 2 2 2 2 1 2
## [49393] 1 1 1 2 2 2 2 2 2 2 1 2 1 2 1 2 2 1 2 2 1 2 2 1 1 2 2 1 2 1 2 2 1 1 1 1
## [49429] 1 2 1 1 2 2 1 2 2 1 1 1 2 2 1 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 2 2 2 2 1 1
## [49465] 2 2 1 2 2 2 2 1 1 1 1 2 2 1 1 2 1 2 1 2 2 1 2 1 1 2 1 2 1 2 2 2 2 1 2 2
## [49501] 2 1 2 2 2 1 1 2 1 2 2 1 1 2 1 2 1 2 2 2 2 2 2 2 2 1 2 1 1 2 2 2 2 2 2 2
## [49537] 1 2 1 1 1 2 2 1 1 2 2 1 2 2 2 1 1 1 2 2 2 2 1 1 1 2 1 2 1 2 1 1 1 1 1 1
## [49573] 1 1 2 1 1 2 2 2 2 2 1 2 2 1 1 2 1 2 2 1 1 2 2 1 2 2 2 1 2 1 2 2 2 2 2 1
## [49609] 1 1 2 1 2 1 2 1 2 2 1 1 2 1 2 1 1 2 1 1 2 2 2 1 1 2 2 2 2 2 1 2 2 2 2 1
## [49645] 2 2 2 2 1 2 2 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 1 2 1 1 2 2 1 1 1 2 2 2
## [49681] 2 1 1 2 2 1 1 1 2 2 2 2 2 1 2 1 2 1 1 1 1 1 1 2 2 2 2 1 1 2 2 1 1 2 1 1
## [49717] 1 1 2 2 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 1 2 1 2 1 1 1 1 2 2 1 1 1 1
## [49753] 2 2 1 1 2 1 2 1 2 1 1 2 2 2 2 1 2 2 2 1 1 1 2 2 1 1 1 2 2 1 2 2 1 2 1 2
## [49789] 1 2 1 2 1 2 2 1 1 2 2 1 1 2 2 2 2 1 2 2 2 1 2 1 2 1 1 2 1 2 2 2 2 2 2 1
## [49825] 2 1 2 2 1 2 2 2 1 2 1 1 1 2 2 1 2 1 1 2 1 2 2 1 1 1 2 2 1 1 1 2 1 1 2 2
## [49861] 1 2 2 1 1 1 2 1 2 2 2 2 1 2 1 2 1 1 1 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1
## [49897] 2 1 2 1 1 2 1 1 2 2 2 2 2 2 2 2 1 2 1 2 1 2 2 1 2 2 2 1 1 1 2 1 1 2 1 2
## [49933] 2 2 2 1 1 1 2 1 1 1 2 1 2 1 2 1 2 2 2 1 1 2 2 2 2 2 1 2 2 2 2 1 1 2 2 1
## [49969] 1 2 2 2 2 2 2 1 2 2 2 2 1 1 2 1 1 1 2 1 2 2 2 1 1 2 2 2 2 2 1 2 1 2 2 2
## [50005] 1 2 1 1 2 2 2 1 1 2 1 1 2 2 2 2 2 2 2 1 2 1 1 2 2 1 1 2 1 2 2 1 2 2 2 1
## [50041] 1 1 2 1 2 2 2 1 1 1 1 2 2 2 2 1 1 1 2 1 1 1 2 2 2 1 2 1 2 1 2 1 2 2 2 1
## [50077] 2 2 2 1 2 1 1 2 2 2 1 1 2 2 1 2 2 1 2 1 2 2 1 2 2 2 2 1 2 2 2 1 1 2 1 1
## [50113] 1 2 1 1 1 2 1 1 2 1 1 1 2 2 2 1 1 2 1 1 1 2 2 2 2 2 1 2 2 1 1 1 2 1 2 2
## [50149] 1 2 1 2 2 2 1 1 2 1 1 1 2 2 2 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 2 1 1 2 2 2
## [50185] 1 2 2 2 1 2 2 1 2 2 2 1 2 1 2 2 1 1 1 2 1 1 2 2 2 1 1 1 1 2 1 1 2 2 2 1
## [50221] 1 2 2 1 2 1 2 1 2 2 2 1 2 2 2 1 2 2 1 1 2 1 1 2 1 2 1 2 1 2 2 2 2 1 1 2
## [50257] 2 2 1 2 2 1 2 1 2 2 2 1 1 2 1 1 2 2 1 2 2 2 2 2 2 1 2 2 1 2 2 2 2 2 1 2
## [50293] 1 2 1 2 1 1 1 1 1 1 1 2 2 2 1 2 1 1 2 1 2 2 2 2 1 1 2 1 1 2 1 2 2 2 1 1
## [50329] 2 1 1 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 1 2 1 2 2 1 2 2 2 2 1 2 1 2 1 2 1 2
## [50365] 1 1 1 1 2 2 1 1 1 1 2 1 2 2 1 1 2 2 1 2 2 2 1 2 2 2 2 1 2 1 1 2 1 2 2 1
## [50401] 2 2 1 2 1 2 1 2 2 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 1 1 2 2 1 2 2 1 2 2 1
## [50437] 1 1 2 2 2 2 1 2 2 1 2 2 1 2 2 1 1 1 2 1 1 2 2 2 2 2 2 2 1 1 1 1 1 2 1 1
## [50473] 1 1 1 1 1 2 2 1 1 2 1 2 1 2 1 2 2 1 2 2 1 2 1 1 2 1 1 2 2 1 2 2 1 1 1 2
## [50509] 1 1 1 2 2 2 1 1 2 1 2 2 2 2 2 2 2 1 2 1 1 1 2 2 1 2 1 1 1 2 2 2 2 2 1 2
## [50545] 2 1 1 2 1 1 2 2 1 2 1 2 2 2 2 2 2 2 1 2 2 1 1 2 2 1 1 2 1 2 1 1 2 2 2 2
## [50581] 1 2 2 2 2 1 2 1 2 2 1 1 1 1 1 1 2 2 2 1 1 2 2 1 2 1 2 2 1 1 2 2 2 2 2 1
## [50617] 2 2 2 2 2 2 1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 1 1 2 1 2 1 2 1 2 1 2 1 2 2 2
## [50653] 2 2 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 2 1 1 1 2 2 1 2 1 1 2
## [50689] 2 2 1 2 2 2 2 1 2 2 1 1 2 2 2 1 1 2 1 2 1 1 2 1 2 2 1 1 2 2 2 1 2 2 1 2
## [50725] 2 2 2 2 1 1 1 2 2 2 2 1 2 2 1 2 2 2 2 1 2 2 2 1 2 1 1 2 1 2 2 1 2 2 2 2
## [50761] 2 2 1 1 2 2 1 2 1 2 1 2 2 2 2 1 2 1 1 2 2 1 2 1 1 2 1 1 2 1 2 1 1 1 2 1
## [50797] 1 1 2 1 2 1 2 1 1 2 2 2 2 2 2 2 2 1 1 1 2 1 2 2 2 1 2 2 2 2 2 2 2 2 1 1
## [50833] 1 2 2 1 1 1 2 2 2 1 2 2 2 2 2 2 2 1 2 1 2 1 1 2 1 2 1 2 1 1 2 2 2 1 1 2
## [50869] 2 2 2 2 2 1 1 1 1 2 2 2 1 2 1 1 2 1 2 2 2 1 2 2 2 2 2 2 1 1 2 1 2 2 1 1
## [50905] 2 2 1 2 2 1 1 2 2 1 2 2 2 1 2 1 1 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 2 2 2
## [50941] 2 1 2 2 2 1 2 2 1 2 1 1 2 1 2 2 2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 2 1
## [50977] 2 1 1 2 1 2 1 2 2 1 2 1 2 1 1 2 1 1 2 2 2 1 2 1 1 2 2 2 2 1 2 2 2 2 2 1
## [51013] 2 1 2 2 1 2 2 2 1 2 2 2 2 1 2 1 1 2 2 2 2 2 1 2 1 1 2 2 2 1 1 2 2 2 1 1
## [51049] 2 2 1 2 1 1 1 1 2 2 2 1 1 2 1 1 1 2 1 2 2 1 1 2 1 1 2 2 1 2 1 1 2 2 1 2
## [51085] 1 2 1 2 1 1 2 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 2 2 2 1 2
## [51121] 2 2 2 2 2 1 1 2 2 2 2 2 2 1 2 1 1 2 1 1 2 1 1 2 2 1 2 2 1 2 2 1 1 2 2 1
## [51157] 1 1 1 2 2 1 1 2 1 1 2 1 1 1 2 2 2 2 1 2 1 2 2 2 2 1 1 1 1 2 1 2 1 2 2 2
## [51193] 2 2 1 2 1 2 1 2 1 2 2 1 2 1 1 2 2 2 2 1 2 1 2 1 1 2 2 1 2 2 2 1 1 1 2 1
## [51229] 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 2 1 2 2 2 1 2 2 1 2 2 2 2 1
## [51265] 1 1 1 2 2 1 2 1 2 2 1 1 2 2 1 2 2 1 2 2 2 2 1 2 2 1 2 2 1 1 2 1 2 1 2 2
## [51301] 2 1 1 1 2 2 1 1 2 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 1 2 1 1
## [51337] 1 1 1 2 1 2 1 2 1 2 2 1 1 2 1 2 1 2 1 2 2 1 2 1 1 2 1 2 2 1 2 2 2 1 2 1
## [51373] 1 2 2 2 1 2 2 2 1 1 2 2 1 1 2 1 1 1 2 1 1 2 2 2 1 1 2 2 2 1 2 1 2 1 2 2
## [51409] 2 2 2 1 2 1 1 1 2 2 2 2 1 1 2 1 1 1 2 2 1 2 2 1 1 1 2 2 2 1 2 1 2 2 1 2
## [51445] 2 1 2 1 1 1 1 2 1 2 1 2 2 1 1 1 1 2 2 2 1 2 2 2 1 1 2 2 1 1 1 1 1 1 1 1
## [51481] 2 2 1 2 2 1 2 2 2 2 1 1 2 2 2 1 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2
## [51517] 1 1 2 1 2 1 1 2 2 1 2 1 1 2 2 2 1 2 2 2 2 2 1 2 1 1 2 1 2 1 1 1 1 1 2 2
## [51553] 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 1 1 2 1 2 2 2 2 2 1 2 1 2 1 2 1 2 1 2
## [51589] 1 2 2 2 2 2 2 1 2 2 1 2 2 2 2 2 1 1 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 2 2 1
## [51625] 1 1 1 1 1 2 2 1 2 1 2 1 1 2 2 1 1 2 1 1 2 1 1 1 2 2 1 1 2 1 1 1 2 2 2 1
## [51661] 2 2 2 2 1 1 1 1 1 2 1 2 1 2 1 2 1 1 2 2 1 2 1 2 2 2 2 1 2 2 2 2 2 2 2 1
## [51697] 1 1 2 2 1 2 1 2 1 1 2 2 2 2 2 2 1 2 1 1 1 2 2 2 1 2 1 2 2 1 2 2 1 2 1 1
## [51733] 2 2 1 1 1 1 1 1 2 2 1 2 1 1 1 2 2 2 2 1 1 2 2 2 2 1 2 1 1 2 2 2 1 1 1 2
## [51769] 2 2 2 1 1 2 2 1 1 2 2 1 2 2 2 1 1 1 1 1 1 2 2 2 2 1 2 1 2 1 2 1 2 2 1 1
## [51805] 1 2 2 1 1 1 1 1 1 2 1 1 1 2 2 2 2 1 2 1 1 2 2 1 1 1 2 2 1 2 2 2 1 1 2 1
## [51841] 2 1 2 1 2 2 1 2 2 1 2 1 2 2 1 2 1 1 1 2 1 2 2 1 2 2 2 1 1 1 1 1 2 2 2 2
## [51877] 1 2 2 1 1 2 1 2 2 1 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 1 1 2 2 2 2 1 2 2 1 2
## [51913] 2 1 1 1 2 2 2 1 1 2 1 2 2 2 2 1 2 2 1 2 2 1 1 1 1 2 2 2 2 2 1 1 2 2 1 1
## [51949] 1 2 2 2 1 1 1 1 2 2 1 2 2 1 2 2 1 1 1 1 1 2 1 2 2 2 2 1 2 2 1 1 2 1 1 1
## [51985] 1 1 2 1 1 1 2 1 2 1 2 1 1 2 2 2 2 2 2 1 1 2 2 2 1 1 2 2 1 1 1 2 1 1 1 2
## [52021] 1 2 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2 2 1 1 2 2 1 2 2 2 2 2 1 2 2 2 2 2 1 1
## [52057] 2 2 1 2 2 1 2 1 2 2 2 1 1 2 2 1 1 1 2 2 2 2 1 1 2 1 1 2 2 2 1 1 1 2 1 1
## [52093] 1 1 2 2 2 1 2 2 1 1 2 2 2 2 1 1 2 2 2 1 2 1 1 1 2 2 2 1 1 1 2 2 1 2 1 1
## [52129] 2 1 2 2 2 2 1 1 2 1 1 1 1 2 2 2 2 2 2 1 2 2 2 2 1 2 1 2 1 2 1 1 2 1 1 1
## [52165] 1 1 2 1 1 2 2 1 2 2 1 1 1 2 2 1 1 2 2 2 1 1 1 2 1 1 1 2 2 1 1 2 2 2 2 2
## [52201] 2 2 1 2 2 2 2 1 2 1 2 1 1 1 2 2 2 1 2 1 2 1 2 2 1 1 2 2 2 2 1 1 2 2 2 1
## [52237] 2 2 1 2 1 2 1 2 2 1 1 1 1 2 1 1 2 2 1 2 2 2 2 2 2 1 2 2 1 2 1 1 2 1 1 1
## [52273] 2 2 2 1 2 1 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 1 1 2 2 2 1 1 2 2
## [52309] 2 1 1 2 1 2 2 2 2 2 1 2 2 2 2 1 1 2 1 2 2 2 1 1 1 1 2 1 2 1 1 2 2 2 1 1
## [52345] 1 1 2 2 2 2 2 1 1 2 1 2 1 2 1 1 2 2 1 1 2 2 2 2 1 1 1 2 1 2 2 2 1 2 2 2
## [52381] 2 2 1 2 2 2 2 2 2 1 1 2 1 2 1 2 1 1 2 2 1 2 2 1 2 2 1 2 1 2 1 2 2 2 1 1
## [52417] 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 1 2 1 1 2 2 2 1 1 2 1 2 1 2 2 1 1 1 2
## [52453] 1 1 1 1 2 1 1 1 2 2 1 2 2 2 2 1 2 1 2 2 2 1 2 1 2 1 1 2 1 1 2 1 2 2 2 1
## [52489] 2 1 2 2 1 1 2 2 1 1 1 2 2 1 2 1 2 2 1 2 1 1 1 1 2 2 1 2 2 1 1 2 2 2 1 1
## [52525] 2 2 1 1 1 2 2 1 1 1 2 1 1 1 2 1 1 1 1 2 2 1 1 1 2 2 2 2 2 1 2 1 2 1 2 1
## [52561] 2 1 1 1 1 2 1 2 2 2 2 1 2 1 1 1 1 1 2 2 2 1 2 2 2 1 2 2 2 1 2 1 1 2 1 2
## [52597] 1 1 1 2 2 1 2 1 1 2 2 2 2 2 2 1 2 2 1 2 1 1 1 1 2 2 2 1 2 1 2 2 1 1 1 2
## [52633] 2 1 2 2 2 2 1 2 1 1 2 2 2 2 1 1 1 1 2 2 2 1 1 1 2 1 2 1 2 2 2 2 2 2 2 2
## [52669] 1 2 1 1 2 2 2 1 1 2 2 2 2 1 2 1 1 1 1 2 1 2 2 2 1 2 2 1 1 2 1 2 1 1 2 1
## [52705] 2 1 1 1 2 2 2 2 2 1 1 1 2 1 1 2 1 1 2 1 2 1 1 2 1 2 1 2 1 2 1 1 2 2 1 1
## [52741] 1 1 2 2 2 1 1 2 1 2 2 2 2 2 1 1 2 2 2 2 2 2 1 1 1 1 1 2 2 1 2 1 1 1 1 2
## [52777] 2 2 2 2 2 2 2 1 2 1 2 2 1 2 2 2 2 2 1 1 2 1 2 1 2 2 2 2 2 1 2 2 1 2 1 1
## [52813] 1 1 1 1 2 2 1 1 2 2 1 2 2 1 2 1 2 1 2 1 2 2 2 2 2 2 2 1 2 1 2 1 1 2 1 2
## [52849] 2 1 2 1 1 2 1 2 1 1 2 2 1 2 1 2 2 2 2 1 2 1 1 2 2 2 2 1 2 2 1 2 2 1 2 1
## [52885] 2 2 1 2 2 1 1 2 2 2 2 1 1 2 2 2 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 2 2 2 1 1
## [52921] 1 2 2 1 1 2 1 1 1 2 2 2 2 2 2 1 2 1 1 2 2 2 1 2 1 2 1 2 2 2 2 2 2 2 1 1
## [52957] 2 2 1 2 2 1 2 2 1 2 1 1 2 2 2 1 1 1 2 2 1 1 2 1 2 2 2 2 1 1 1 1 2 2 2 2
## [52993] 2 1 1 1 2 1 1 2 1 2 2 1 2 2 2 2 2 2 1 1 2 2 2 1 1 2 2 2 2 1 2 2 1 2 2 2
## [53029] 2 2 1 2 2 2 1 1 2 2 1 1 1 1 2 2 2 1 1 1 1 1 2 1 2 2 2 1 2 1 1 2 2 1 2 2
## [53065] 1 2 1 1 1 2 1 2 2 1 1 2 1 1 2 1 2 1 2 1 2 2 2 1 2 1 2 1 2 2 2 1 1 2 2 1
## [53101] 2 2 1 2 1 2 2 2 1 2 2 1 1 1 1 2 2 2 1 1 2 1 2 2 1 2 1 1 2 1 1 1 2 1 2 2
## [53137] 2 1 1 1 1 2 2 2 2 2 1 2 1 1 2 1 2 2 2 2 2 2 2 1 1 2 1 1 2 2 1 2 2 1 1 2
## [53173] 2 2 2 1 1 2 2 2 2 2 2 2 2 1 2 2 1 2 2 2 1 2 1 2 2 2 2 2 1 2 2 1 1 2 1 2
## [53209] 1 1 2 2 2 2 1 1 1 2 1 1 2 2 2 2 1 1 1 1 2 2 1 2 1 1 2 1 2 2 2 2 2 1 2 1
## [53245] 2 2 2 1 2 2 2 1 1 1 2 1 2 1 1 1 1 1 2 1 2 2 2 1 1 2 2 2 1 2 2 1 2 2 2 2
## [53281] 2 1 1 2 2 1 1 1 1 1 2 2 2 1 1 2 1 1 2 2 2 2 2 1 2 1 1 1 2 2 1 2 2 1 1 1
## [53317] 2 2 1 1 2 2 2 2 2 1 2 2 2 2 2 2 1 2 1 2 1 2 1 2 2 1 1 2 1 2 1 1 2 2 2 1
## [53353] 2 2 1 1 1 2 2 1 1 2 2 1 1 2 1 1 1 2 1 1 1 1 2 2 1 1 2 2 1 1 2 2 1 1 2 1
## [53389] 1 1 2 1 2 2 2 2 2 2 1 2 2 1 1 2 2 2 1 1 1 1 2 1 2 2 1 2 2 2 1 2 1 2 1 2
## [53425] 1 1 2 2 1 2 2 1 2 1 1 2 2 1 1 1 2 2 2 1 1 1 1 2 1 2 2 2 1 2 2 1 2 1 2 1
## [53461] 2 1 1 1 1 2 2 1 1 1 1 1 1 2 2 1 2 1 2 2 2 1 2 2 2 2 2 2 1 1 1 2 2 2 1 2
## [53497] 2 1 1 1 1 1 1 2 1 2 1 2 2 2 1 1 2 2 1 1 1 2 2 2 1 2 2 2 2 2 1 1 1 2 2 1
## [53533] 1 1 1 1 2 1 1 1 2 1 1 2 1 2 2 1 1 2 1 2 2 1 2 2 2 2 2 2 1 2 2 1 2 2 2 1
## [53569] 2 2 2 1 2 1 1 2 1 2 1 1 1 1 1 1 2 1 2 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1
## [53605] 1 1 2 1 1 1 2 1 2 2 1 2 1 2 1 2 1 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2
## [53641] 1 2 1 1 2 2 2 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 2 1 1 1 2 2
## [53677] 2 1 2 1 1 1 2 2 2 2 2 2 2 2 2 1 2 2 1 1 2 2 2 2 2 2 1 2 1 2 1 2 1 1 1 1
## [53713] 1 2 2 2 1 2 1 2 2 2 1 2 1 2 2 2 1 2 1 1 2 2 2 1 2 1 2 2 1 1 2 1 1 2 1 2
## [53749] 2 2 2 2 1 1 1 2 2 1 1 1 2 1 2 2 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 2 1 2
## [53785] 2 2 2 2 2 1 1 2 2 2 2 1 2 2 1 2 1 1 1 1 2 2 1 1 2 2 2 2 2 1 1 2 2 1 2 1
## [53821] 2 1 2 2 1 2 2 2 2 1 1 1 2 2 2 1 2 2 2 2 2 2 2 1 2 1 1 1 2 1 2 1 2 2 1 2
## [53857] 2 2 2 1 1 1 2 2 1 2 1 2 2 1 1 2 1 2 2 2 2 2 2 1 2 2 1 1 2 1 2 1 1 2 1 2
## [53893] 1 2 2 1 2 2 2 1 1 2 1 1 2 1 2 2 2 1 1 1 2 2 1 1 2 1 1 2 1 2 2 2 2 2 1 2
## [53929] 2 2 2 1 1 2 2 2 2 1 1 2 2 2 1 2 1 2 2 2 2 2 1 2 2 2 1 2 1 2 2 2 1 1 2 2
## [53965] 2 2 2 2 2 2 1 2 1 2 1 1 2 2 2 2 2 1 1 2 2 1 2 1 1 1 1 2 2 1 2 2 1 1 2 1
## [54001] 2 1 1 2 2 2 1 2 1 2 2 2 2 1 1 1 1 2 2 1 2 2 1 1 1 2 2 1 1 1 2 1 1 1 2 2
## [54037] 2 2 1 1 2 2 2 1 1 1 1 2 1 2 2 2 1 2 2 2 2 2 2 2 2 1 2 2 1 1 1 2 2 2 1 2
## [54073] 2 1 2 1 2 2 2 1 2 1 2 1 2 2 1 1 2 1 2 2 2 2 1 1 2 1 2 1 2 1 1 1 2 2 1 1
## [54109] 1 1 1 1 1 2 1 2 1 1 2 1 2 1 2 2 2 1 1 2 2 1 2 2 2 2 2 1 2 2 2 1 1 2 1 2
## [54145] 2 2 2 2 1 2 1 1 1 2 1 2 2 2 2 1 1 2 2 2 1 2 1 2 1 1 2 1 2 2 1 2 1 1 2 1
## [54181] 1 2 2 1 2 1 2 1 1 1 1 2 2 1 2 2 1 2 1 2 2 1 1 2 1 2 1 2 2 1 2 2 2 1 2 2
## [54217] 2 2 1 2 2 1 1 2 2 2 2 2 1 2 1 1 2 2 2 2 1 1 2 2 2 1 2 2 2 2 1 2 2 2 1 2
## [54253] 2 2 2 2 2 2 1 2 2 1 2 2 2 1 2 2 1 1 2 2 2 1 2 1 2 1 2 2 2 2 1 1 1 1 2 2
## [54289] 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2
## [54325] 2 1 2 2 2 2 2 2 1 2 2 1 2 2 1 2 2 1 2 2 1 1 2 2 1 1 2 2 1 1 2 2 2 2 2 1
## [54361] 1 2 1 1 2 2 2 2 1 2 2 2 1 2 1 1 2 1 1 2 1 2 2 1 1 2 2 1 1 1 2 2 2 2 2 2
## [54397] 2 2 1 1 1 1 1 2 1 2 2 1 2 1 2 2 2 1 1 1 1 1 2 2 2 1 1 2 2 2 2 2 1 2 2 2
## [54433] 1 1 1 1 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 1 1 2 2 2 1 1 2 2 2 1 2 1 1 2 2 1
## [54469] 2 2 2 1 1 2 2 1 2 2 2 2 2 2 2 2 1 1 1 1 2 1 1 2 1 1 2 2 2 1 2 2 1 2 2 1
## [54505] 2 2 1 1 2 2 1 1 2 1 1 1 1 1 2 2 1 2 1 2 2 2 2 1 1 1 2 2 2 2 1 2 2 2 2 1
## [54541] 1 1 1 1 1 1 2 2 1 1 2 2 2 2 2 2 2 2 1 1 1 2 2 1 1 2 2 1 2 2 2 1 2 1 2 2
## [54577] 1 2 1 1 1 1 2 2 2 1 2 2 2 1 2 2 1 1 1 2 1 2 1 1 1 1 2 2 2 2 1 2 2 1 1 1
## [54613] 1 2 1 1 2 1 2 2 2 1 1 2 1 2 1 2 2 1 1 2 1 1 2 1 1 1 2 2 2 1 2 2 2 2 2 2
## [54649] 2 1 2 2 1 1 1 1 1 1 1 2 2 1 2 2 2 1 2 1 1 2 1 2 2 2 1 2 1 2 2 2 2 2 1 2
## [54685] 1 1 2 1 2 2 1 1 2 2 2 1 1 1 2 1 2 1 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 2 1
## [54721] 2 2 1 1 1 1 2 1 1 1 2 1 1 1 1 2 1 2 2 1 2 2 1 1 2 2 2 2 1 1 2 1 2 2 2 1
## [54757] 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 1 1 1 1 2 2 1 1 1 1 2 1 2 1 2 2 2 1 2 2 1
## [54793] 1 1 1 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 1 1 2 2
## [54829] 2 2 1 1 1 1 1 1 1 2 2 1 2 2 2 2 2 2 2 1 1 2 1 1 1 2 2 1 2 1 1 1 2 1 2 2
## [54865] 2 1 1 1 1 2 2 1 2 1 2 1 1 2 2 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 1 1 1
## [54901] 2 2 1 1 2 2 1 1 2 2 1 2 2 1 2 1 1 1 2 2 2 2 1 1 2 1 2 1 1 2 1 2 1 1 2 2
## [54937] 1 2 1 2 1 2 1 2 2 2 2 1 2 1 2 2 1 1 2 2 1 2 2 1 2 2 2 2 2 1 1 2 2 2 1 2
## [54973] 1 1 1 1 2 2 2 1 2 2 2 1 2 2 2 2 2 1 1 2 1 2 1 2 2 2 1 1 2 1 2 2 2 1 2 1
## [55009] 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 2 1 1 1 2 1 2 1 1 1 1 2 2 2 1 1 2 2 2 2
## [55045] 2 2 1 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 1 2 1 2 1 2 2 2 1 1 2 1 2 2 2
## [55081] 2 1 1 1 1 1 2 1 1 1 2 2 2 1 2 1 1 1 2 2 1 2 2 2 1 2 1 2 1 2 1 2 2 2 2 2
## [55117] 1 2 2 2 1 1 2 1 2 2 2 1 1 1 2 1 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 2 1
## [55153] 2 2 2 1 1 2 2 2 1 1 2 1 1 1 2 2 1 1 2 1 1 1 1 2 1 2 2 1 2 2 2 1 2 2 2 2
## [55189] 2 2 2 2 1 1 1 1 1 2 2 1 2 1 1 1 2 2 1 1 1 1 1 2 1 2 2 2 2 2 2 1 1 2 2 1
## [55225] 1 1 2 1 2 2 1 1 1 1 1 1 2 1 1 1 2 2 2 1 2 2 2 2 1 2 2 1 2 1 2 1 2 1 2 1
## [55261] 2 1 2 2 1 1 2 2 1 1 1 1 1 2 2 1 2 2 2 2 1 2 1 1 2 1 1 1 2 2 1 2 2 1 2 2
## [55297] 2 1 2 2 1 2 2 2 1 1 1 1 2 2 1 1 2 1 1 2 1 2 2 2 1 2 2 1 1 2 1 2 2 1 2 2
## [55333] 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 1 1 2 1 2 2 2 2 2 2 1 1 1 2 1 2 2 1 1 2 1
## [55369] 1 1 2 2 1 2 2 1 2 2 1 1 2 1 2 1 2 2 1 2 2 2 1 1 2 2 2 2 2 1 2 2 2 2 2 1
## [55405] 2 2 2 2 2 2 2 1 2 2 1 1 1 2 1 2 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 2 2 1 2 1
## [55441] 2 1 2 1 1 1 2 1 1 1 1 2 1 1 1 2 2 2 1 1 2 1 2 2 2 2 2 2 1 1 1 2 1 1 2 1
## [55477] 2 2 2 1 1 2 2 2 1 1 1 2 2 1 1 2 2 2 2 1 1 1 1 2 2 1 1 2 2 2 2 2 2 2 1 1
## [55513] 1 2 2 2 1 1 1 1 2 1 2 1 1 2 1 2 2 2 2 2 2 2 1 1 1 1 1 2 2 1 2 2 1 2 1 2
## [55549] 2 1 1 1 1 2 2 2 1 1 2 2 2 2 1 1 2 2 1 1 2 2 2 2 2 2 2 2 1 1 1 1 2 1 1 1
## [55585] 1 1 2 2 1 2 2 2 1 2 2 2 2 1 2 2 1 1 1 2 2 1 2 1 1 2 2 1 2 2 1 1 1 2 1 2
## [55621] 1 2 2 2 2 2 2 2 2 2 2 1 1 1 2 1 2 2 2 2 1 2 1 2 1 2 2 1 1 1 1 1 2 2 1 1
## [55657] 2 1 2 2 1 1 1 1 2 2 1 1 1 1 2 1 1 2 1 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 2 1
## [55693] 2 2 1 1 1 2 2 1 2 1 1 1 2 2 1 1 1 2 1 2 2 1 2 2 2 2 1 2 2 1 1 1 1 2 2 2
## [55729] 2 2 1 2 2 2 2 1 2 1 2 2 2 2 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1
## [55765] 2 2 1 2 1 2 1 2 1 1 1 2 1 1 2 2 1 1 1 1 2 1 1 2 2 2 1 1 2 2 1 1 2 1 2 1
## [55801] 2 1 1 1 1 1 1 1 1 2 1 2 1 1 2 1 1 2 2 1 1 1 2 2 2 2 1 1 1 2 2 1 2 2 2 1
## [55837] 2 2 2 2 1 1 2 2 2 1 2 2 1 1 2 2 1 2 2 2 1 1 1 1 2 2 1 1 2 2 1 2 1 1 1 2
## [55873] 2 2 2 2 2 1 1 1 2 1 1 2 2 2 2 2 2 1 2 2 2 2 1 2 1 2 2 1 2 2 2 1 2 2 2 1
## [55909] 2 1 2 1 1 2 2 2 1 1 2 2 2 1 2 1 1 1 2 1 2 1 2 1 1 2 2 1 2 1 1 2 2 2 1 1
## [55945] 2 1 1 1 2 2 1 1 2 1 1 2 2 2 2 1 2 1 1 2 1 1 2 2 1 2 2 1 1 2 1 2 1 2 2 2
## [55981] 1 1 1 2 1 2 2 2 2 1 1 2 2 2 2 1 1 1 1 2 1 1 1 2 1 1 1 1 1 2 1 2 1 2 2 2
## [56017] 1 1 2 1 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 1 2 1 1 2 1 2 1 2 2 1 2 2 2 1 2 2
## [56053] 1 2 2 1 2 1 1 2 2 1 2 2 2 1 1 2 1 2 1 1 1 2 2 1 1 1 2 2 2 1 2 2 2 2 2 1
## [56089] 1 2 2 1 1 1 2 2 1 2 2 2 1 2 1 1 2 2 1 2 2 2 1 2 1 2 1 2 1 2 2 1 2 2 2 2
## [56125] 1 2 1 2 2 1 1 2 1 1 1 2 1 1 2 1 2 2 1 2 1 1 2 2 2 2 1 2 1 2 2 2 2 1 2 2
## [56161] 1 1 2 1 1 2 2 2 2 2 1 2 1 1 2 2 2 2 1 2 1 2 2 2 1 1 1 2 2 2 2 2 1 2 1 2
## [56197] 2 1 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 1 1 2 1 2 2 2 2 2 1 1 2 1 2
## [56233] 2 2 2 1 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 1 2 1 2 2 2 1 2 2 2 1 1 1 2 1 1 2
## [56269] 1 2 2 2 1 1 2 2 1 2 1 2 2 2 1 1 2 2 2 1 1 2 2 2 2 1 2 2 2 2 2 1 1 2 1 2
## [56305] 1 1 1 2 2 1 2 2 1 2 2 2 2 2 1 2 1 2 2 2 1 1 2 1 2 1 2 2 1 2 1 1 1 1 1 1
## [56341] 2 2 1 1 2 2 2 2 2 2 2 2 1 2 2 2 1 2 1 2 1 2 2 2 1 2 1 1 2 2 1 1 2 1 1 1
## [56377] 1 2 2 1 1 2 2 2 1 1 1 1 1 2 2 1 1 1 1 2 1 1 1 2 2 1 2 1 2 2 2 1 2 2 2 1
## [56413] 1 1 1 1 2 1 1 2 1 2 2 2 1 1 1 2 2 2 2 1 1 2 2 2 1 2 1 2 2 2 2 2 1 1 2 1
## [56449] 2 1 2 2 1 1 1 2 1 2 2 2 1 2 1 1 2 2 1 1 1 1 2 1 2 2 2 1 2 2 1 2 1 2 2 1
## [56485] 2 1 2 2 2 1 1 2 2 2 2 1 1 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 1 2 1 1 2 2 2
## [56521] 2 2 2 1 1 2 1 1 1 2 2 1 1 1 2 1 2 1 1 1 2 1 1 1 2 1 1 1 1 1 2 1 1 2 2 2
## [56557] 1 1 1 2 2 1 2 2 2 1 2 1 1 2 2 1 1 2 2 1 2 1 2 2 2 2 1 1 2 2 2 2 2 2 1 2
## [56593] 2 2 2 1 1 2 2 2 1 2 2 2 2 2 1 2 1 1 1 1 2 1 2 2 1 1 2 2 2 1 1 1 2 2 2 2
## [56629] 2 2 1 2 1 1 2 2 1 2 1 1 2 2 2 1 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 2 2 2 1 1
## [56665] 2 2 1 2 1 1 1 2 1 1 1 2 2 2 1 2 2 1 2 2 2 2 2 1 2 1 2 1 2 2 1 1 2 2 2 2
## [56701] 2 1 2 2 2 2 1 2 1 2 2 2 2 1 2 2 2 1 1 2 1 2 2 1 2 1 1 2 2 2 2 2 2 1 2 2
## [56737] 1 1 2 2 2 2 1 2 1 1 2 1 1 1 1 2 2 2 1 1 2 2 2 1 2 2 2 1 2 1 1 1 2 2 1 1
## [56773] 2 1 1 2 2 2 2 2 1 1 2 1 2 1 2 1 2 1 1 2 1 1 2 2 1 1 1 1 1 1 2 2 2 2 1 1
## [56809] 1 1 2 2 2 1 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 2 2 2 1 1 2 2 1 2 1 1 2 2 2 2
## [56845] 1 1 1 2 2 1 2 2 2 2 1 1 1 2 2 1 2 2 2 1 2 1 2 2 2 1 1 2 2 1 2 2 2 1 2 1
## [56881] 2 2 2 1 1 1 1 2 1 1 1 2 2 1 1 1 2 1 2 1 1 1 2 1 2 2 1 2 1 2 2 1 2 2 1 2
## [56917] 2 1 2 1 2 2 2 1 2 2 1 1 2 1 2 1 2 1 1 1 1 2 1 1 2 2 2 1 1 1 2 2 2 2 2 1
## [56953] 2 2 1 2 2 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 1 2 1 2 2 2 2 2 1 1 1
## [56989] 1 1 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 1 1 2 2 2 1 1 2 1 2 2
## [57025] 1 2 1 1 2 1 1 2 1 1 2 2 1 2 2 2 1 1 1 2 1 1 2 1 2 2 1 2 2 1 2 2 1 2 2 1
## [57061] 1 2 1 1 1 1 1 1 2 2 2 1 1 2 2 2 1 2 2 1 1 1 2 2 2 2 2 1 2 2 1 2 1 1 2 2
## [57097] 1 2 1 2 2 2 1 2 1 2 2 2 1 2 1 2 2 2 1 2 2 2 2 1 1 1 2 2 1 1 1 2 1 2 1 2
## [57133] 1 2 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 2 1 1 1 2 1 2 2 1 1 2 1 2 2 1 2 2 2 2
## [57169] 2 2 2 1 2 1 2 2 2 2 2 2 1 1 2 1 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 2 2 2 2 1
## [57205] 2 2 2 2 1 1 2 2 2 1 1 1 2 1 2 2 2 1 1 1 1 1 2 2 1 2 1 2 1 1 1 2 2 2 1 2
## [57241] 2 1 1 2 2 2 2 2 2 1 2 1 2 2 1 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 2 2 2 2 1 1
## [57277] 2 1 1 2 1 2 2 2 2 2 1 2 1 2 1 1 2 2 1 2 1 2 1 1 2 2 1 1 2 1 2 2 1 1 2 2
## [57313] 1 2 2 2 2 2 1 2 1 1 1 1 2 1 1 1 1 2 1 1 2 2 1 1 1 2 2 1 2 2 1 1 2 1 1 1
## [57349] 2 2 2 2 2 2 2 2 1 2 1 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 1 2 2 2 2 1 1
## [57385] 1 1 1 2 2 1 1 1 2 2 1 2 1 1 2 1 2 1 2 2 2 1 1 1 2 1 1 1 2 2 1 2 1 1 1 1
## [57421] 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 2 1 2 2 1 1 2 2 2 1 2 1 2 1 2
## [57457] 1 2 2 1 1 1 1 2 2 2 2 2 1 1 1 2 2 2 2 2 1 2 2 1 2 2 1 2 1 2 2 2 1 1 2 2
## [57493] 2 2 1 1 2 1 2 2 1 2 2 1 2 2 1 1 2 1 1 2 1 1 1 1 1 1 1 1 2 1 1 2 1 2 2 1
## [57529] 2 1 2 1 1 2 1 2 2 1 2 1 2 2 2 2 2 2 1 1 1 2 2 2 1 2 1 2 2 1 1 1 2 1 2 1
## [57565] 2 1 1 2 2 1 2 2 1 1 2 2 2 1 1 2 2 2 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [57601] 2 2 1 1 1 1 2 1 2 1 2 2 2 1 1 2 2 2 2 2 2 1 2 2 2 2 1 1 1 1 2 1 2 2 1 1
## [57637] 2 1 1 2 1 2 1 2 1 2 1 2 2 2 1 2 1 1 2 1 2 2 1 1 1 1 1 2 2 1 2 1 2 1 1 2
## [57673] 2 2 1 2 2 2 1 1 2 2 1 2 2 2 1 1 1 2 2 2 1 2 1 1 1 2 2 1 1 2 1 2 1 1 1 2
## [57709] 1 2 1 2 1 1 1 1 2 1 1 2 2 1 1 2 1 2 2 1 1 1 1 2 2 2 1 2 1 1 1 2 2 2 2 2
## [57745] 2 2 2 1 1 2 1 1 1 1 2 2 2 2 2 2 1 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 1 2 1 2
## [57781] 2 1 2 1 2 1 1 1 2 1 1 2 1 2 1 1 1 1 2 2 2 2 2 1 2 1 2 2 1 2 1 1 2 2 2 1
## [57817] 2 1 2 2 1 2 2 2 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 2 2 1 1 2 2 1 2 1 1 2 2 2
## [57853] 2 1 1 1 2 1 2 2 1 2 2 1 2 2 2 1 1 2 2 1 1 1 2 2 1 1 2 1 2 1 1 1 2 1 1 2
## [57889] 1 2 2 1 1 1 2 1 2 1 1 2 2 2 1 1 2 1 2 2 1 1 1 2 2 2 2 2 1 2 1 1 2 2 2 1
## [57925] 2 2 1 1 2 2 2 1 1 1 1 1 1 1 2 2 1 1 1 2 1 1 2 1 2 1 2 2 1 2 2 1 1 2 1 2
## [57961] 1 1 2 1 1 2 2 1 2 2 1 2 2 1 2 2 2 2 2 1 1 1 2 2 1 1 2 2 2 1 1 1 1 2 2 2
## [57997] 1 1 2 2 2 1 2 1 2 1 2 2 2 1 2 1 1 1 1 2 1 2 2 2 2 2 2 1 1 1 2 1 2 2 2 2
## [58033] 2 2 2 1 2 2 1 1 1 2 2 1 1 1 2 2 2 1 2 1 2 1 1 2 2 1 1 2 1 2 1 2 2 2 2 1
## [58069] 1 2 1 1 1 2 1 2 1 2 2 2 2 2 2 2 1 1 2 1 1 1 2 2 1 2 2 2 1 1 2 1 1 1 1 1
## [58105] 1 1 2 2 1 2 1 1 1 2 2 1 1 1 2 1 2 2 2 2 1 2 1 1 1 1 1 1 2 1 1 2 1 2 2 2
## [58141] 2 2 2 1 2 2 1 2 1 1 2 1 2 1 1 2 2 1 2 2 1 1 1 2 2 1 1 1 2 2 2 2 2 2 2 1
## [58177] 1 2 1 2 1 2 2 1 1 2 1 1 1 2 2 1 2 1 2 2 2 1 1 2 2 2 2 1 2 2 1 1 1 2 1 2
## [58213] 2 2 1 1 1 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 1 2 1 2 1 2 2 2 1 2 2 1 1 2 1 1
## [58249] 2 1 1 2 1 2 2 2 1 1 2 2 1 2 2 2 1 2 1 2 2 2 1 1 1 2 1 1 2 1 2 2 1 1 1 1
## [58285] 1 1 2 1 1 2 2 1 2 1 2 1 2 2 1 2 1 1 2 2 2 1 1 2 2 2 1 1 2 1 2 1 2 1 1 2
## [58321] 2 2 2 1 1 2 1 2 2 2 2 2 1 2 1 1 2 2 1 2 2 2 1 1 1 2 2 1 2 1 2 1 2 2 2 1
## [58357] 1 2 2 1 2 2 1 2 2 1 2 1 1 1 1 2 2 2 2 1 1 1 1 1 2 2 2 2 2 1 1 2 1 1 2 2
## [58393] 2 1 1 1 1 2 1 2 1 2 2 1 2 1 2 2 1 2 1 1 1 2 1 2 1 1 2 1 1 2 1 1 1 2 2 2
## [58429] 2 1 2 1 2 2 2 1 1 1 2 2 1 2 2 2 1 1 2 1 2 2 2 2 1 2 1 2 1 1 1 2 2 2 1 2
## [58465] 2 2 2 1 1 2 2 1 1 1 2 1 2 1 2 2 2 1 2 1 2 2 1 2 2 1 2 2 1 2 2 2 1 2 1 2
## [58501] 1 2 2 1 1 2 2 1 1 1 1 2 1 1 2 2 1 2 2 1 2 1 2 2 1 1 2 2 2 1 1 1 2 2 2 2
## [58537] 1 1 2 1 1 2 2 1 2 2 1 1 1 1 1 2 1 2 2 1 2 2 2 1 2 2 2 2 1 2 1 1 2 1 1 2
## [58573] 1 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 2 1 2 1 2 2 1 2 1 2 2 2 2 1 2 1 1 2
## [58609] 2 2 1 1 1 2 1 2 2 1 1 1 2 1 1 2 1 2 1 2 1 2 2 1 1 2 2 2 1 2 1 1 2 2 2 1
## [58645] 1 1 1 2 2 1 2 2 1 2 2 1 1 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 1 1 2 2 1 1
## [58681] 1 2 1 1 1 2 1 2 2 1 1 2 2 2 1 2 2 2 1 1 2 1 1 1 1 2 2 2 2 2 2 2 1 2 2 2
## [58717] 2 2 1 1 2 1 1 1 1 1 1 1 1 2 1 1 2 2 2 1 1 2 1 1 2 2 1 2 2 2 2 1 1 2 1 2
## [58753] 1 2 1 2 2 2 1 2 2 2 1 1 2 2 2 2 1 2 1 2 2 2 2 2 2 1 2 2 1 1 1 1 1 1 2 1
## [58789] 2 2 1 2 1 2 2 2 1 1 2 1 2 2 2 1 1 2 2 1 1 1 1 1 1 2 2 2 2 1 2 1 2 1 2 2
## [58825] 2 2 2 1 1 1 1 2 1 2 2 2 1 2 2 1 1 1 2 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1
## [58861] 1 1 2 2 2 1 2 2 2 2 1 1 1 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 1 2 1
## [58897] 2 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 1 1 2 2 2 2 1 2 1 1 1 1 2 1 2 2 1 1 2 2
## [58933] 2 2 1 2 2 2 1 2 1 1 2 2 2 2 2 1 2 2 1 2 2 1 2 2 1 2 2 2 1 1 2 2 1 2 2 2
## [58969] 2 2 2 1 2 1 1 1 1 2 1 2 1 1 1 2 2 1 2 1 2 2 2 1 1 2 2 2 2 1 1 2 2 2 1 2
## [59005] 2 2 2 2 2 2 1 1 2 2 1 1 2 2 2 1 2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 1
## [59041] 2 2 2 2 2 2 1 2 1 2 1 1 2 1 2 2 2 1 2 1 1 1 2 1 2 1 2 2 2 2 1 1 2 2 1 1
## [59077] 2 2 1 2 2 2 2 2 1 1 2 1 2 1 2 1 2 2 1 1 2 2 1 2 1 1 2 2 2 2 2 1 2 1 2 2
## [59113] 1 1 2 2 2 1 2 1 2 1 1 2 2 2 1 2 1 2 2 1 2 2 1 2 2 2 1 1 2 2 2 2 2 1 2 1
## [59149] 2 2 1 2 2 2 1 1 2 2 2 2 1 2 1 2 2 1 2 2 2 1 2 1 1 2 2 2 1 2 2 2 2 2 2 2
## [59185] 2 1 1 1 2 1 1 2 1 1 2 1 1 2 2 1 2 1 2 1 2 2 2 2 1 2 2 2 2 1 2 1 2 1 1 2
## [59221] 1 2 2 1 1 2 1 1 1 2 2 2 1 1 2 1 2 2 1 1 2 2 1 2 2 2 2 1 1 1 2 1 1 2 2 2
## [59257] 1 1 2 2 2 1 1 2 1 2 1 2 2 2 2 2 1 2 2 1 1 1 1 2 2 2 1 1 2 1 1 1 2 2 2 2
## [59293] 2 1 1 2 2 2 2 2 1 1 2 1 1 2 1 2 2 2 2 2 1 2 1 2 1 1 1 2 2 1 2 1 1 2 2 1
## [59329] 2 2 2 1 1 2 2 2 2 2 1 1 2 1 2 2 2 2 1 2 2 2 2 1 2 1 1 1 2 1 2 1 2 2 2 1
## [59365] 2 1 1 2 2 2 2 2 2 1 1 1 2 1 2 2 2 1 2 1 2 1 1 2 2 1 2 2 2 2 1 1 2 1 2 2
## [59401] 2 2 2 2 2 2 2 1 2 2 2 2 2 1 2 1 2 2 2 1 1 2 1 1 2 2 2 1 1 2 2 1 1 1 1 2
## [59437] 1 2 2 2 1 2 2 2 2 1 1 2 2 2 2 2 2 1 1 1 1 2 2 1 2 1 1 1 2 2 1 2 2 2 1 1
## [59473] 1 2 2 1 1 2 2 1 2 1 1 2 2 2 1 2 2 1 2 2 2 2 2 2 2 1 1 1 1 2 2 1 2 2 1 1
## [59509] 1 2 2 1 1 2 1 2 1 1 2 1 2 2 2 1 2 2 2 1 1 1 1 2 2 2 2 2 1 1 2 1 1 1 2 2
## [59545] 1 1 1 1 2 1 2 2 2 2 1 1 1 1 1 2 2 2 1 1 2 1 2 1 2 1 2 2 1 2 2 2 2 2 2 2
## [59581] 2 2 1 1 1 2 2 1 2 1 2 2 2 1 1 2 2 2 2 2 2 1 1 2 1 2 2 2 1 1 2 1 2 1 1 2
## [59617] 2 1 1 2 1 1 2 1 1 2 2 2 1 1 2 2 2 2 1 2 1 2 1 2 1 1 1 2 2 1 2 1 1 1 1 1
## [59653] 2 2 1 2 1 1 2 1 2 2 1 2 1 2 2 1 2 2 1 2 1 2 1 2 1 1 2 1 1 2 1 1 2 1 2 1
## [59689] 2 2 1 1 2 1 1 2 1 2 1 2 2 1 2 2 2 2 2 1 1 1 1 1 2 2 1 1 1 1 2 1 1 2 2 1
## [59725] 1 2 1 2 2 2 2 1 1 2 1 1 1 2 2 2 1 1 2 1 2 1 2 2 2 2 2 2 1 1 2 1 1 2 1 2
## [59761] 1 2 1 2 1 1 2 1 2 1 2 2 1 1 2 2 1 2 2 2 2 2 1 2 1 1 2 1 2 2 2 1 1 2 2 2
## [59797] 2 2 2 2 2 1 2 2 2 2 1 2 1 2 2 1 2 1 2 2 2 2 1 2 2 1 2 1 1 2 2 1 1 2 2 1
## [59833] 2 2 1 2 2 2 2 1 1 2 1 1 2 2 1 2 2 1 1 2 2 1 2 2 2 1 2 1 1 2 2 1 2 2 1 2
## [59869] 1 2 1 2 2 1 2 1 2 1 1 2 1 2 2 1 1 1 2 2 1 1 1 2 1 2 1 1 1 1 2 1 2 2 2 2
## [59905] 1 2 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 1 2 2 2 2 2 1 1 1
## [59941] 2 2 1 1 1 2 1 2 2 2 1 1 2 2 2 2 1 1 2 2 2 2 1 1 1 1 2 2 2 1 1 1 2 2 1 2
## [59977] 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 1 1 1 2 1 2 2 2 1 2 2 2 1 2 1 1
## [60013] 1 1 2 2 2 1 2 1 1 1 2 2 1 1 1 2 2 1 2 2 2 1 1 2 2 2 2 2 1 2 2 1 2 1 2 1
## [60049] 1 1 2 1 1 2 1 1 2 1 2 2 2 2 1 2 2 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 1 2 2
## [60085] 1 2 1 1 1 2 2 2 1 2 2 1 2 2 2 2 1 2 1 2 2 2 2 2 1 1 1 1 1 1 1 1 2 1 1 1
## [60121] 2 1 2 2 1 2 2 2 2 2 2 1 2 1 2 1 1 2 2 1 2 1 2 1 2 1 2 2 2 2 1 2 2 1 2 1
## [60157] 2 2 1 1 1 2 1 2 1 1 2 2 2 2 2 2 2 1 2 2 1 2 2 1 2 2 1 2 1 2 2 2 2 2 2 1
## [60193] 1 2 2 2 1 1 2 1 2 2 2 1 1 2 2 2 2 1 2 1 1 1 1 2 2 1 2 2 1 1 2 2 2 1 2 2
## [60229] 1 1 2 2 2 2 2 2 1 2 1 2 2 2 1 2 2 2 1 2 2 1 2 2 2 2 1 2 1 1 2 1 2 1 2 1
## [60265] 1 1 1 2 1 2 2 2 2 2 1 1 1 2 2 1 1 1 2 2 1 2 1 1 2 2 1 1 2 2 1 1 1 2 2 1
## [60301] 2 2 2 2 2 2 1 2 1 2 1 2 1 1 1 2 2 1 1 1 2 2 2 2 2 1 2 2 1 2 2 1 2 2 1 2
## [60337] 2 2 2 2 1 1 2 2 1 2 1 1 2 2 2 2 1 1 1 2 2 1 2 2 2 1 2 2 1 1 2 2 2 1 2 2
## [60373] 2 1 2 1 2 2 1 2 2 1 2 2 2 2 2 1 1 2 1 1 2 1 2 1 2 2 1 1 1 2 1 1 2 2 2 2
## [60409] 2 1 1 2 2 2 2 2 1 2 1 2 1 1 2 1 2 1 1 2 1 1 1 2 2 2 1 1 2 1 1 1 1 2 1 1
## [60445] 2 2 1 2 2 1 1 2 1 1 1 1 2 1 2 2 2 1 2 2 1 1 1 1 1 2 1 2 2 2 1 1 1 2 1 1
## [60481] 1 1 1 2 2 2 2 1 2 1 1 2 2 1 2 2 1 2 2 1 1 1 2 2 2 2 2 1 1 2 1 1 2 2 1 2
## [60517] 2 2 1 1 2 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 1 2 1 1 2 2 2 1 2 2 2 2
## [60553] 2 1 1 1 1 1 1 2 1 2 2 1 1 2 1 1 1 2 2 2 2 2 2 2 2 1 2 1 1 2 1 2 1 2 2 2
## [60589] 1 1 2 2 2 2 1 2 1 1 1 1 2 2 1 1 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 1 2 2 1 1
## [60625] 1 1 2 2 2 1 1 1 1 2 1 2 1 1 2 1 2 2 2 1 2 2 1 2 2 2 1 1 1 1 1 2 2 2 1 1
## [60661] 2 2 1 1 2 1 2 1 2 1 2 2 2 2 2 2 1 1 1 2 2 2 2 2 1 2 1 1 1 1 2 1 2 2 1 2
## [60697] 1 2 1 2 2 2 2 2 2 1 2 2 1 2 2 1 2 1 2 1 2 1 2 2 2 2 2 1 1 1 1 2 1 1 2 2
## [60733] 2 2 1 1 2 2 2 2 1 1 1 2 2 1 1 2 2 1 1 1 2 1 2 1 1 2 2 1 2 1 1 1 2 2 1 1
## [60769] 2 2 1 1 2 1 1 1 1 1 2 1 2 1 1 2 1 2 2 1 1 1 2 2 2 2 2 1 2 2 2 2 1 2 1 2
## [60805] 2 1 2 2 1 2 2 2 1 2 2 1 2 2 1 1 1 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 2 1 2 2
## [60841] 1 2 1 1 1 1 1 1 1 2 2 1 2 2 1 2 2 2 2 1 2 1 2 2 1 1 1 2 2 2 2 2 1 2 1 1
## [60877] 2 2 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 2 2 2 2 2 1 1 2 1 1 1 2 2 2 1 2 1 2
## [60913] 1 2 2 1 2 2 2 2 1 1 1 1 1 2 1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 1 2 1 2 1 2 2
## [60949] 2 1 1 2 1 1 2 2 1 2 2 2 1 1 1 2 2 1 2 1 1 2 1 2 1 1 1 2 2 2 1 2 2 1 2 1
## [60985] 2 2 1 2 2 1 2 1 2 2 1 1 2 1 1 2 2 1 2 1 2 2 2 2 2 2 1 1 2 2 1 1 1 1 2 2
## [61021] 2 1 2 1 2 1 1 1 1 2 1 2 1 2 2 1 2 2 2 2 2 2 1 2 1 2 2 2 2 2 1 1 2 2 2 2
## [61057] 2 1 2 2 2 1 2 2 2 1 1 2 1 1 1 2 2 2 1 1 1 2 1 2 2 1 1 1 1 2 1 2 2 1 2 1
## [61093] 2 1 2 1 2 2 2 2 2 1 2 2 1 2 1 1 2 2 1 2 2 1 2 2 2 1 1 2 1 2 1 1 2 2 2 1
## [61129] 2 2 1 2 1 1 1 2 1 2 1 2 2 2 2 1 1 1 1 1 1 2 2 2 1 1 1 1 2 2 2 1 2 2 1 1
## [61165] 2 2 1 1 2 1 2 2 1 2 1 2 2 2 2 1 1 1 1 2 2 2 1 2 2 2 1 2 1 1 2 2 1 1 2 2
## [61201] 1 2 2 2 2 1 2 2 1 2 1 2 1 2 2 2 2 1 1 2 1 1 1 1 2 1 2 1 2 1 2 2 1 2 2 2
## [61237] 2 1 2 1 1 1 2 2 2 1 1 2 1 2 2 1 1 1 2 1 2 2 2 2 1 1 2 2 2 1 1 2 2 2 2 1
## [61273] 2 2 2 1 2 1 1 1 1 2 2 2 2 2 1 2 1 2 2 1 2 2 1 1 1 1 1 1 2 2 2 1 1 2 2 1
## [61309] 2 1 1 1 1 2 1 2 2 1 2 2 1 2 1 1 2 2 1 1 2 1 2 1 2 1 2 1 2 1 1 1 2 2 1 1
## [61345] 1 2 2 2 2 1 2 1 2 2 2 2 1 2 2 2 1 1 1 2 2 2 1 1 2 2 1 1 1 2 2 2 2 1 2 2
## [61381] 2 2 1 2 2 1 2 2 2 2 1 1 1 1 1 1 1 1 2 1 2 2 1 1 2 2 2 2 2 1 2 2 2 2 1 2
## [61417] 1 1 2 1 1 1 2 1 1 1 2 2 1 2 2 2 1 2 1 2 1 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1
## [61453] 1 1 1 1 1 1 1 1 2 2 1 1 2 2 2 1 2 1 2 1 2 2 2 2 2 1 2 1 2 1 2 2 2 2 2 1
## [61489] 2 2 1 2 2 1 2 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 1 2 1 2 1 2 1 2 2 2 1 2 1 1
## [61525] 1 2 2 2 2 1 2 2 1 1 2 2 2 2 2 2 2 1 1 2 2 2 2 1 2 1 1 1 2 2 2 1 1 1 1 2
## [61561] 1 2 1 2 2 1 2 2 2 2 2 1 2 1 2 1 1 1 2 1 2 2 2 1 1 2 1 1 2 1 2 2 2 1 1 1
## [61597] 2 2 2 2 1 2 2 1 1 1 2 1 2 2 1 1 1 1 2 2 2 1 2 1 2 2 1 2 2 1 1 2 2 2 1 2
## [61633] 1 1 2 1 1 2 1 2 2 1 1 1 2 2 2 1 2 2 2 2 1 1 1 2 1 2 2 1 2 1 2 1 1 1 2 2
## [61669] 1 2 1 2 1 1 1 2 1 2 2 1 2 2 2 1 2 1 2 2 1 1 1 1 1 2 2 2 2 1 2 1 1 2 2 1
## [61705] 2 2 2 2 1 2 2 2 1 2 1 2 1 2 2 2 1 1 1 1 1 1 2 2 2 1 2 1 1 1 2 2 1 1 2 1
## [61741] 2 2 1 2 2 1 1 2 1 2 1 1 2 1 2 1 1 2 2 2 2 2 1 2 2 1 1 2 2 2 2 1 2 2 2 2
## [61777] 2 1 2 1 2 1 1 2 2 1 2 1 2 2 2 2 2 1 1 2 1 1 1 2 2 1 2 2 1 2 2 2 1 2 2 1
## [61813] 2 2 2 1 2 2 2 1 2 2 2 2 2 2 1 2 1 1 1 2 1 2 1 2 2 2 1 2 2 1 2 1 2 1 1 1
## [61849] 2 1 1 2 1 2 1 1 1 1 2 1 2 1 1 2 2 1 1 2 1 2 2 1 2 1 1 2 2 2 1 1 2 1 2 2
## [61885] 1 2 1 2 2 2 1 1 2 1 1 2 1 2 1 2 1 1 2 1 1 2 1 1 2 1 1 2 2 1 1 1 1 2 2 1
## [61921] 2 1 1 1 2 1 2 1 2 1 2 2 2 1 1 2 1 1 2 1 1 1 2 2 2 1 1 2 2 2 2 2 1 1 2 2
## [61957] 2 2 2 2 1 1 2 2 2 1 1 2 1 2 1 1 1 2 1 2 2 2 1 1 1 1 1 2 2 2 2 1 2 1 2 2
## [61993] 2 2 2 2 2 1 2 2 1 1 2 1 1 2 1 1 1 1 2 1 2 2 2 1 2 2 2 2 2 1 2 2 1 1 2 2
## [62029] 2 1 2 2 2 1 2 2 2 1 1 1 2 2 2 1 1 1 2 1 1 2 1 2 1 1 2 2 1 2 2 1 2 1 2 1
## [62065] 1 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 2 2 1 2 1 2 2 2 2 1 1 1 2 2 1 2 2 1 2 2
## [62101] 1 1 1 1 2 1 1 1 2 2 2 2 1 1 1 1 1 1 2 1 2 2 1 1 2 2 2 2 1 2 2 2 1 2 1 1
## [62137] 1 1 2 2 2 2 1 1 2 1 1 2 1 1 1 1 2 2 2 2 1 2 1 1 2 2 2 2 2 2 2 1 2 1 2 2
## [62173] 1 1 1 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 2 2 1 2 2 2 1 2
## [62209] 2 1 1 2 1 1 1 2 1 1 2 1 1 2 1 2 1 2 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 2
## [62245] 2 2 2 2 1 1 2 1 2 1 2 1 2 1 2 1 2 2 2 2 2 1 1 1 2 1 2 1 2 1 1 1 2 1 2 2
## [62281] 1 1 2 2 2 2 1 2 2 1 2 1 1 1 2 1 1 1 1 1 2 2 2 2 2 2 1 2 1 2 1 2 2 1 2 2
## [62317] 2 2 1 2 1 2 2 1 2 2 1 1 2 2 1 1 1 2 2 1 2 1 2 1 2 1 2 2 2 2 1 2 2 1 1 2
## [62353] 1 1 1 1 2 1 2 1 2 1 1 2 2 1 2 2 2 1 1 2 2 2 2 1 2 1 1 1 2 1 1 1 2 1 2 1
## [62389] 1 2 2 1 1 1 2 1 2 1 2 1 1 2 1 1 1 2 2 2 2 1 2 2 1 2 2 2 2 1 1 1 2 2 2 2
## [62425] 2 1 1 2 2 2 1 2 2 1 2 2 2 2 2 1 1 2 1 1 2 1 1 2 2 2 1 1 2 2 1 2 1 2 2 2
## [62461] 2 2 1 2 1 2 2 2 2 2 2 1 2 1 2 1 2 2 1 1 2 2 2 2 1 1 1 2 2 2 2 2 2 1 1 2
## [62497] 1 2 2 2 1 1 2 2 1 2 2 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 2 2
## [62533] 1 2 2 1 1 1 1 1 1 2 2 1 2 2 2 2 2 2 1 1 2 2 1 2 2 1 1 1 2 1 1 1 1 1 2 2
## [62569] 2 2 1 1 1 2 1 1 1 1 2 1 2 2 2 2 2 2 2 1 1 2 1 1 1 2 2 1 1 1 1 2 2 1 2 2
## [62605] 1 2 1 2 1 2 2 1 2 2 2 2 2 2 2 2 1 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 1 2 1 1
## [62641] 2 1 2 1 2 1 2 2 2 2 2 2 1 2 2 2 1 1 2 2 1 1 2 2 1 1 2 1 1 1 1 2 2 1 1 1
## [62677] 2 1 2 2 2 1 2 2 1 2 1 2 2 1 2 2 2 1 1 1 2 1 2 2 1 2 1 2 2 1 1 2 1 2 2 1
## [62713] 2 2 1 2 1 1 1 2 2 1 2 1 2 2 2 2 1 2 1 1 2 2 1 1 2 2 2 1 2 2 1 1 2 1 1 1
## [62749] 2 2 1 1 2 2 1 2 1 2 1 1 2 2 2 2 2 1 1 2 2 1 2 2 2 2 2 2 2 1 1 1 2 1 2 2
## [62785] 2 2 1 2 1 1 2 1 2 2 2 1 1 1 2 1 1 2 2 1 1 2 2 2 1 2 1 1 1 1 2 1 2 2 2 2
## [62821] 1 2 2 2 2 1 2 2 2 2 1 1 2 1 1 1 2 1 1 2 2 2 2 1 2 2 1 2 2 1 2 1 2 1 1 2
## [62857] 2 1 1 2 2 2 1 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 1 1 2 2 2 1 1 1 1 1 1 2 1 2
## [62893] 1 2 1 2 2 2 1 2 1 2 2 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 1 1 2 2 2 2 1
## [62929] 1 2 2 2 1 2 2 1 2 1 2 2 2 1 1 1 1
## 
## Within cluster sum of squares by cluster:
## [1] 8090.686 8343.841
##  (between_SS / total_SS =  49.8 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"

Cluster assignments as factors were added.

#Add the cluster assignments as a factor in the data frame
fe_train_out_scaled$cluster <- as.factor(kmModel$cluster)
head(fe_train_out_scaled)

##   company_name status_label year        X1        X2         X3        X5
## 1       C_4351        alive    0 0.9424751 0.9322921 0.78096414 0.8866190
## 2       C_1254        alive    0 0.9172924 0.9127023 0.75646903 0.6738659
## 3       C_3379        alive    0 0.8183445 0.9034233 0.05585847 0.4485375
## 4       C_7351        alive    0 0.8591962 0.9074917 0.38362660 0.0000000
## 5       C_6420        alive    0 0.7929259 0.9040017 0.15516553 0.1065455
## 6       C_7396        alive    0 0.8417746 0.9030655 0.19557518 0.3254599
##          X6        X7        X8        X9       X10         X11       X13
## 1 0.6406004 0.8089633 0.6740869 0.8812637 0.7569596 0.834351075 0.7993820
## 2 0.3124525 0.7706200 0.6416549 0.8656750 0.6945201 0.846501687 0.8026194
## 3 0.5484156 0.1874124 0.1661158 0.8567552 0.2586799 0.071300117 0.7921015
## 4 0.9032863 0.5375908 0.4070450 0.8592872 0.4142520 0.003972904 0.7936836
## 5 0.8247363 0.1774358 0.1597238 0.8569111 0.2045312 0.047520249 0.7920690
## 6 0.9068323 0.2825957 0.4577980 0.8567355 0.3464305 0.456546301 0.7921591
##         X14       X15       X16       X17       X18       X19 cluster
## 1 0.8417947 0.4344658 0.8812637 0.8032230 0.9263590 0.7295633       1
## 2 0.7705496 0.4424028 0.8656750 0.7824677 0.9099418 0.7300764       1
## 3 0.2695647 0.4356859 0.8567552 0.2381168 0.8975064 0.7233144       2
## 4 0.5059413 0.4344691 0.8592872 0.4629548 0.9027724 0.7232534       2
## 5 0.2758681 0.4356680 0.8569111 0.2428845 0.8980139 0.7232835       2
## 6 0.4237689 0.4349420 0.8567355 0.4172182 0.8981026 0.7225744       2

The centroids of the two clusters were then identified with $centers.

#Save the centroids
kmCenters <- as.data.frame(kmModel$centers)
kmCenters

##   year        X1        X2        X3        X5        X6        X7        X8
## 1    0 0.8842453 0.9108686 0.6099576 0.5442547 0.5143056 0.5546127 0.5517438
## 2    0 0.8175925 0.9039075 0.1990224 0.1795096 0.6424195 0.2128060 0.3067425
##          X9       X10       X11       X13       X14       X15       X16
## 1 0.8629295 0.5769663 0.6292912 0.7970271 0.6097588 0.4369612 0.8629295
## 2 0.8569827 0.2859484 0.1313110 0.7921508 0.2905325 0.4354495 0.8569827
##         X17       X18       X19
## 1 0.6287897 0.9060604 0.7269292
## 2 0.2876292 0.8982139 0.7231503

# Inspect cluster based on company status
fe_train_out_scaled %>% select(status_label, cluster) %>% head()

##   status_label cluster
## 1        alive       1
## 2        alive       1
## 3        alive       2
## 4        alive       2
## 5        alive       2
## 6        alive       2

The metrics were then calculated to assess model performance.

# Ensure necessary libraries are loaded
library(dplyr)
library(yardstick)

# Ensure the types are factors
df <- fe_train_out_scaled %>%
  mutate(
    status_label = factor(status_label),   # truth: e.g., alive/failed
    cluster      = factor(cluster)         # predicted ids: 1/2
  )

# Confusion between cluster IDs and actual labels (to discover mapping)
cm <- table(Cluster = df$cluster, Actual = df$status_label)
cm

##        Actual
## Cluster alive failed
##       1 25974   1890
##       2 32765   2316

# Inspect which label dominates each cluster:
# For each cluster row, pick the column (label) with the max count.
map_cluster_to_label <- apply(cm, 1, function(r) names(which.max(r)))
# e.g. c("1"="alive", "2"="failed")  (your data will decide)

#  Create predicted labels using the mapping
df <- df %>%
  mutate(pred_label = factor(map_cluster_to_label[as.character(cluster)],
                             levels = levels(status_label)))

# Ensure readiness for metrics
table(Predicted = df$pred_label, Actual = df$status_label)

##          Actual
## Predicted alive failed
##    alive  58739   4206
##    failed     0      0

# Metrics
df %>%
  summarise(
    accuracy  = accuracy_vec(status_label, pred_label),
    precision = precision_vec(status_label, pred_label),
    recall    = recall_vec(status_label, pred_label),
    f1        = f_meas_vec(status_label, pred_label)
  )

##    accuracy precision recall        f1
## 1 0.9331798 0.9331798      1 0.9654351

The final step in this EDA was the creation of the final cluster diagram using principal component analysis.

# Create data frame of only numeric columns
X <- fe_train_out_scaled %>% select(where(is.numeric))

# Remove constant or near-constant columns due to previous error message
X <- X %>% select(where(~ sd(.x, na.rm = TRUE) > 0))

# Run PCA
pca <- prcomp(X, center = TRUE, scale. = TRUE)

# Create a data frame for plotting
pca_df <- as.data.frame(pca$x[, 1:2])
names(pca_df) <- c("PC1", "PC2")
pca_df$cluster <- factor(kmModel$cluster)  # or km$cluster

# Plot the clusters
ggplot(pca_df, aes(PC1, PC2, color = cluster)) +
  geom_point(alpha = 0.8, size = 2) +
  stat_ellipse(level = 0.95, linewidth = 0.4) +
  theme_minimal() +
  labs(title = "K-means Clusters (PCA projection)", color = "Cluster")

The same process was completed for the test data set to assess cluster model performance with novel data.

#Fit a k-means model with k=2
kmModel_test <- kmeans(fe_test_out_scaled %>% select(where(is.numeric)), centers = 2)
kmModel_test

## K-means clustering with 2 clusters of sizes 8820, 6917
## 
## Cluster means:
##   year        X1        X2        X3        X5        X6        X7        X8
## 1    0 0.8181799 0.9039325 0.2031426 0.1813817 0.6399294 0.2171439 0.3083644
## 2    0 0.8848324 0.9110118 0.6145191 0.5452502 0.5115479 0.5582323 0.5548543
##          X9       X10       X11       X13       X14       X15       X16
## 1 0.8570310 0.2886756 0.1355092 0.7921626 0.2929651 0.4354576 0.8570310
## 2 0.8630413 0.5807522 0.6379122 0.7968850 0.6123248 0.4373263 0.8630413
##         X17       X18       X19
## 1 0.2904413 0.8982497 0.7231457
## 2 0.6324653 0.9062026 0.7268086
## 
## Clustering vector:
##     [1] 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1
##    [37] 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 2 1 2 2 2 2 1 1 2 2 2 2 2 1 1 1 1 1 1 1
##    [73] 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2
##   [109] 2 1 2 2 2 2 2 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2
##   [145] 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 2 1 1 2
##   [181] 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2
##   [217] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2
##   [253] 2 2 2 1 2 2 1 1 1 1 2 1 1 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 1 1 2 1 1 1 1 2
##   [289] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2
##   [325] 1 1 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 2 1 1 2 2 1 2 2 2 1 1 1 2 2
##   [361] 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 2 2 1 1 2 2 2
##   [397] 2 1 1 2 2 2 2 2 1 2 2 2 2 1 1 1 1 2 1 2 2 2 1 1 2 2 1 1 2 2 2 2 2 2 2 2
##   [433] 1 2 2 2 1 2 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##   [469] 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 2 2 2 2
##   [505] 2 2 1 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2
##   [541] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 1 2 1 1 2 2 2 1 1
##   [577] 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 2 1
##   [613] 2 2 1 2 1 2 2 2 2 2 2 1 1 1 1 1 1 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##   [649] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
##   [685] 1 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 2
##   [721] 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##   [757] 2 2 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
##   [793] 1 1 1 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
##   [829] 1 1 1 1 1 2 2 2 2 2 1 1 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2
##   [865] 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 2 2 2 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1
##   [901] 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 2 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1
##   [937] 2 2 2 1 1 1 1 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2
##   [973] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2
##  [1009] 2 1 1 1 2 2 1 1 2 1 2 2 1 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 2
##  [1045] 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2
##  [1081] 1 1 1 2 2 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 2 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1
##  [1117] 1 2 1 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 1 1
##  [1153] 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2
##  [1189] 2 2 2 2 2 2 1 1 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##  [1225] 2 2 2 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2
##  [1261] 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 2 2 1 1 1 1 2 2 2 2 1 1 1 1
##  [1297] 2 2 2 2 1 2 2 2 1 1 1 1 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2
##  [1333] 2 2 2 2 2 1 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 2 2 1 1 2 2 1 1 1 1
##  [1369] 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 2
##  [1405] 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 1 2 2 2 1 1 1
##  [1441] 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
##  [1477] 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 2 1 1 1 1 1 2 2 2 2 2 2
##  [1513] 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1
##  [1549] 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2
##  [1585] 2 1 2 2 1 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2
##  [1621] 2 1 1 1 1 1 1 1 2 2 1 1 2 2 2 2 2 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2 1 2 2 2
##  [1657] 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 2
##  [1693] 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 2 2 1 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2
##  [1729] 1 2 2 2 1 1 1 2 1 1 1 1 1 2 2 1 1 1 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2
##  [1765] 2 2 2 1 1 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2
##  [1801] 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2
##  [1837] 2 2 1 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1
##  [1873] 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
##  [1909] 2 1 1 1 1 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##  [1945] 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2
##  [1981] 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 2 2 2 2 2 1 1 2 2 2 2 1
##  [2017] 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 2 1 1 2 2 2 2 2 2 2 1 2 2 2 2
##  [2053] 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2
##  [2089] 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2
##  [2125] 2 2 2 2 1 1 1 2 1 1 2 2 2 2 2 2 2 1 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2
##  [2161] 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##  [2197] 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2
##  [2233] 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2
##  [2269] 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 2 1 1 1 2 2 2 2 1 1 2 2 2 2 1 1 1 2 2 2 2
##  [2305] 2 1 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##  [2341] 1 1 1 1 1 1 2 1 1 1 2 2 2 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2
##  [2377] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [2413] 2 2 2 1 2 2 1 1 1 1 1 1 1 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 1 1
##  [2449] 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 2 2 2
##  [2485] 2 2 1 1 1 1 1 2 1 2 2 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2
##  [2521] 2 2 2 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 2 2 2 2 2 2 1 2 1 1
##  [2557] 1 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1 1 1 1 2 2 1 2 2 2 2 2
##  [2593] 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 2 2 2 1 1
##  [2629] 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 2 1 1
##  [2665] 1 1 1 1 2 1 1 1 1 2 2 2 2 2 1 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##  [2701] 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1 1 1 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##  [2737] 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
##  [2773] 1 1 1 2 2 2 2 2 2 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 2 2
##  [2809] 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 2 2 1 1 1 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2
##  [2845] 2 1 1 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 1 1 1 2 2
##  [2881] 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1
##  [2917] 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 1 2 2 1 2 2
##  [2953] 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2
##  [2989] 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##  [3025] 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 1 2 2 2 2 2 2 1 1 2 1
##  [3061] 1 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2
##  [3097] 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 2 2 2 1 1 1 1 1
##  [3133] 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 2 2 1 1 1 1 1 2
##  [3169] 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 1 1 1 1 1 2
##  [3205] 2 2 1 1 1 1 1 1 2 2 1 1 1 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2
##  [3241] 1 1 1 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 1 1 1 1 1 1 2 2 2
##  [3277] 2 1 1 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 1 2 2 2 2 1
##  [3313] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2
##  [3349] 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 1 1 2 2 1 2 2 2 2 2 2 2 2 1 1 1 1 2 1 2 2
##  [3385] 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 1 2 2 2 1 1 2 1 1 1 1 1 2 2 2 2
##  [3421] 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 2 2 1 1 2
##  [3457] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2
##  [3493] 2 2 2 2 1 1 2 2 1 1 1 1 1 2 1 1 2 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2
##  [3529] 1 1 2 2 2 2 2 2 2 1 1 2 2 2 1 1 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 2 2 2
##  [3565] 2 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 2 1 1 1 2 2 2 2
##  [3601] 2 2 2 2 1 1 1 1 1 1 1 2 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1
##  [3637] 2 2 2 2 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2
##  [3673] 2 2 2 1 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 1 2 2 2 2 2
##  [3709] 2 2 1 1 1 1 2 2 2 2 1 1 1 1 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2
##  [3745] 2 2 2 1 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 1 1 2 2 2
##  [3781] 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [3817] 2 2 1 2 2 2 2 1 1 1 1 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2
##  [3853] 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2
##  [3889] 2 2 2 1 1 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 1 1 1 2
##  [3925] 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 1 1 1 1 2 2 2
##  [3961] 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 1 1 1
##  [3997] 1 1 1 1 1 1 1 2 2 2 2 2 1 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2
##  [4033] 1 2 2 2 2 2 2 2 2 2 1 2 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 1
##  [4069] 1 2 2 2 1 1 2 2 2 2 2 1 1 1 1 2 1 1 1 1 1 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2
##  [4105] 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2
##  [4141] 2 2 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2
##  [4177] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 1 1 1 1 2 2 2 2
##  [4213] 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 2 2 2 2 2 1 2 2 2 2 2 2
##  [4249] 2 2 1 1 1 2 2 2 1 2 2 2 1 1 1 1 1 1 1 2 2 2 2 1 2 2 1 1 1 2 1 1 1 1 1 2
##  [4285] 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 1 2
##  [4321] 1 1 1 1 1 1 1 1 2 2 1 1 2 2 2 2 1 1 1 2 2 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1
##  [4357] 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 1 1 1
##  [4393] 1 1 2 1 1 1 2 2 2 1 1 2 2 2 2 2 1 1 2 2 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1
##  [4429] 2 2 2 2 2 2 1 1 2 2 2 2 1 1 2 1 1 1 1 1 2 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1
##  [4465] 2 2 2 1 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1 2 2 2 1 1 1 1 1 2 2 1 2
##  [4501] 2 2 2 1 1 1 1 2 1 1 2 1 1 2 2 2 1 1 1 1 1 1 2 1 2 2 1 1 1 1 1 2 2 2 2 2
##  [4537] 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 2 2 1 2 1 1 2 2 2 2 1 1 1 1
##  [4573] 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 2 1 1 2 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1
##  [4609] 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2
##  [4645] 1 1 2 2 2 2 2 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [4681] 1 1 2 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 2 2 2 2 2 1 1 1
##  [4717] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1
##  [4753] 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2
##  [4789] 2 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 1 1 2 2 1 1 1 1 2 1 1 1 2 1 1
##  [4825] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1
##  [4861] 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2 2 1 1 2 2 1 1 2 2 2 1 1 2 1 1 1
##  [4897] 2 2 2 1 1 1 2 1 1 1 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1
##  [4933] 2 1 1 1 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 2 1 1 2 2 2 1 1 2 2 2 2 2 1
##  [4969] 1 1 2 2 2 2 1 1 1 1 1 1 1 2 1 1 1 1 2 2 2 1 1 2 2 2 2 1 1 2 2 2 2 1 2 2
##  [5005] 2 2 1 1 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
##  [5041] 2 2 2 1 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 1 1 1 2 1 2
##  [5077] 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2
##  [5113] 1 1 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 1 2
##  [5149] 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2
##  [5185] 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 2 1 1 1 2 2 2 2 2 2 1 1 1 2 1 2 1 1 2 2 2
##  [5221] 2 2 1 1 1 1 1 2 2 2 2 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 2
##  [5257] 2 1 1 1 1 2 2 2 2 2 1 1 2 2 2 1 1 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1
##  [5293] 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1
##  [5329] 1 1 2 2 1 1 1 1 2 2 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1
##  [5365] 1 2 2 1 2 1 2 1 2 2 1 2 1 2 2 1 1 1 1 2 2 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1
##  [5401] 1 1 2 2 1 2 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 2
##  [5437] 1 1 1 2 1 2 2 2 2 2 2 2 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
##  [5473] 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 2 2 1 1 2 2 1 2 2 2 2 1 2 1 1 1
##  [5509] 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 1 2 2 2 1 1 1 1 2 2 2 2 1 1
##  [5545] 2 2 1 2 1 1 1 1 1 2 1 2 2 1 1 2 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1
##  [5581] 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 1 1 1 1 2 1 1 2 1 2 2 2 1 1 1
##  [5617] 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 2 1 1 1 2 2 2 1 1 1 1 1 1 2 2 1 1
##  [5653] 2 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2 2 1 2 1 1 1 1
##  [5689] 1 1 1 2 1 2 2 1 1 1 1 1 1 1 2 2 1 1 1 1 2 2 1 1 2 1 2 2 1 1 1 1 1 1 2 1
##  [5725] 1 2 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 2 2 1 1 1 1 1 1 1 1 2 2 1 1 2 2 2 1 1
##  [5761] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 1 1 1 2 1
##  [5797] 2 1 2 1 1 2 2 1 2 2 2 2 1 1 1 1 1 2 1 2 2 2 2 1 1 1 2 1 1 1 1 2 1 1 1 1
##  [5833] 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 1 1 2 1
##  [5869] 1 1 1 1 1 1 1 2 2 2 1 1 1 2 1 2 2 2 1 2 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1
##  [5905] 1 1 2 2 2 2 1 1 1 1 1 2 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 2
##  [5941] 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 2 2 2 2 1 1 1 1 2 2 1 1
##  [5977] 1 2 2 2 1 1 1 1 2 2 2 2 2 1 2 2 2 2 1 1 2 2 1 1 1 1 2 2 2 1 1 2 2 2 2 2
##  [6013] 2 2 2 2 2 2 1 2 2 2 2 2 1 1 1 1 1 1 2 1 2 2 2 2 2 2 1 2 2 1 2 2 2 2 2 2
##  [6049] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 1
##  [6085] 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 1
##  [6121] 1 1 1 1 1 2 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 1 1 1 1 1 1
##  [6157] 1 1 1 2 2 2 2 2 2 2 1 1 2 2 2 2 2 1 1 1 2 2 2 1 1 1 1 2 2 1 2 2 1 1 1 1
##  [6193] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 2 2 2 2
##  [6229] 1 1 1 2 1 1 2 2 2 2 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1
##  [6265] 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 2 2 2 2 1 1 2 2 2 2 2 2 1
##  [6301] 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 2 1 1 1 1 1 1
##  [6337] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 2 1 1 1 1 1 2 2 2 1
##  [6373] 1 1 1 1 2 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1
##  [6409] 1 1 1 1 1 1 1 1 2 1 2 2 2 2 2 2 1 1 1 2 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1
##  [6445] 2 2 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 2 1 1
##  [6481] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
##  [6517] 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 1 1 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2
##  [6553] 2 1 2 2 2 2 1 2 2 2 1 1 2 2 2 1 1 1 2 2 2 2 1 1 1 1 2 1 2 2 2 2 1 2 2 1
##  [6589] 1 2 1 1 1 1 1 2 2 2 2 2 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 1 1 1 1
##  [6625] 2 2 2 1 1 1 1 1 1 1 2 2 1 1 1 2 2 1 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2 2 2 1
##  [6661] 1 2 1 1 1 2 2 2 1 1 2 1 2 2 1 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1
##  [6697] 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 1 1 1 2 1 2 1 2 1
##  [6733] 1 1 1 1 1 2 2 1 2 2 1 1 2 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 2 2 2
##  [6769] 1 2 1 1 1 2 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 2 2 1 1 1
##  [6805] 1 1 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 1 2 2 2 2 2 2 2 2 1 1 1 1 1
##  [6841] 1 1 1 2 1 1 1 1 1 1 1 2 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 1 2 2 2 1 1
##  [6877] 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1
##  [6913] 1 2 1 1 1 1 1 1 2 2 2 2 2 1 1 2 1 1 1 1 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1 1
##  [6949] 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1
##  [6985] 1 2 2 2 2 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1
##  [7021] 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2
##  [7057] 1 1 1 1 2 2 2 2 2 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2
##  [7093] 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 2 2 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1
##  [7129] 1 1 2 1 1 1 1 2 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1
##  [7165] 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 2 2 1 1 1 1 2 2 2 2 2 1 1 2 2 2 2 1 1 1
##  [7201] 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 1 1 1 1 2
##  [7237] 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1
##  [7273] 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 2 2
##  [7309] 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 2 2 2 2 1 2 2 2 2 2 2 2 1 1 2 1 1 1
##  [7345] 1 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2
##  [7381] 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2
##  [7417] 1 1 1 1 1 2 2 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 2 1 2
##  [7453] 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1
##  [7489] 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 2 1 2 1 1 1 1 2 2 1 1 1 1 1 1 2 1 2 2 1 1
##  [7525] 1 1 2 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 2 2 1
##  [7561] 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 2 2 2 2 1 1 2 1 1 1 1 1 2 2 1 1 1 1 2 2
##  [7597] 2 1 1 1 2 1 1 1 1 2 1 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1
##  [7633] 2 1 1 1 1 1 1 1 2 2 2 2 1 2 2 2 2 1 2 2 2 2 1 1 2 2 2 1 2 2 2 1 2 2 2 2
##  [7669] 1 1 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 2 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1
##  [7705] 1 2 1 1 1 2 2 2 2 2 1 2 2 2 2 2 2 2 1 1 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2
##  [7741] 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 2 2 1 2 2 2 2 2 2 2 2 2 1 1 1
##  [7777] 2 1 1 1 2 2 2 2 2 1 1 2 1 1 1 1 1 1 2 2 2 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1
##  [7813] 1 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 2 2 1 1 1 1 1 2 2 2 2
##  [7849] 2 2 2 2 1 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1
##  [7885] 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1
##  [7921] 1 2 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 2 1 1 1 2 2 1 1 2 1 1 2
##  [7957] 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 1 1 1 1 1
##  [7993] 1 1 1 1 2 2 2 2 1 2 2 2 2 1 1 2 2 1 2 2 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1
##  [8029] 1 1 1 1 1 2 2 2 1 2 1 2 2 1 1 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 1 2 2 2 2 1
##  [8065] 1 2 2 2 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 2 2 2 2 1 2 2
##  [8101] 2 1 2 2 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 2 2
##  [8137] 1 1 2 2 2 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1
##  [8173] 1 1 1 2 2 1 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 2 2 2 2 1 2 2 2 1 1 2 2 2 1 1
##  [8209] 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [8245] 1 1 1 2 2 2 2 2 2 2 1 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 1
##  [8281] 1 2 1 1 1 2 1 2 1 1 1 1 1 1 2 1 2 2 2 2 2 1 2 1 1 1 1 1 1 2 2 1 2 2 2 2
##  [8317] 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 1 1 1 2 1 1 2 2 2 2 2 2 2
##  [8353] 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 1 1 1 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 2 2 2
##  [8389] 2 2 2 2 2 2 2 2 1 2 1 1 1 1 1 1 1 1 2 2 2 1 2 1 2 2 2 2 2 2 1 1 1 1 1 2
##  [8425] 2 2 2 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 2 2 1 1 1 2
##  [8461] 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1
##  [8497] 1 1 1 1 2 2 2 2 2 1 1 2 2 2 1 1 1 2 1 1 2 2 2 2 1 1 1 1 2 1 2 1 1 1 2 2
##  [8533] 2 1 1 1 1 1 1 1 1 1 2 2 2 2 1 2 2 2 1 1 1 1 2 2 2 2 1 2 2 2 2 1 1 1 1 2
##  [8569] 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 1 1 1
##  [8605] 1 1 2 2 2 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 1 2 1
##  [8641] 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 1 2
##  [8677] 1 1 1 1 1 1 2 2 2 2 1 1 1 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
##  [8713] 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 1 1 1 2
##  [8749] 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 2 2 1 1 1 2
##  [8785] 2 2 1 1 1 1 1 1 1 1 1 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2
##  [8821] 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 2
##  [8857] 2 2 2 1 2 2 1 1 1 2 1 1 2 1 1 1 1 2 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 2
##  [8893] 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1
##  [8929] 1 2 2 2 1 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [8965] 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
##  [9001] 2 2 2 1 1 1 1 1 1 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1
##  [9037] 1 1 1 1 1 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [9073] 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 1 2 1 1
##  [9109] 1 1 1 1 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 1 1 2 2 1 1 1 1 1 2
##  [9145] 1 2 2 2 2 1 2 2 2 2 1 1 1 2 2 1 1 1 1 1 1 1 2 1 1 1 2 2 2 2 2 1 2 2 2 1
##  [9181] 2 2 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [9217] 1 1 1 2 2 2 2 2 1 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [9253] 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2
##  [9289] 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 1 1 1 1 1 2 2 1 2 2 2 2 2 2 1
##  [9325] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [9361] 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1
##  [9397] 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [9433] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [9469] 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 2 2 1 2 2 2 1 1 1 1
##  [9505] 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2
##  [9541] 1 2 2 1 1 1 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 1 1 2 2 1 1 1 2 2 2 1 1 1 1 1
##  [9577] 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 2 2 2 2 2 2 1 1 1 1 1 2
##  [9613] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1
##  [9649] 1 1 2 2 2 2 2 2 2 1 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1
##  [9685] 1 1 1 1 1 1 1 2 1 1 2 1 1 2 2 1 1 1 1 1 1 2 2 2 1 1 1 1 1 2 2 1 1 1 1 1
##  [9721] 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 2 1 1 1 2 2 2 2 2 2 1 1 2 2
##  [9757] 2 2 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 2 2 1 1 1 1 2 2 1 1 2 1 1 1 1 1 1 1 1
##  [9793] 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 1 2 1 1 1
##  [9829] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1
##  [9865] 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 2
##  [9901] 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1
##  [9937] 1 1 1 1 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1
##  [9973] 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 2 2 2 2 2 2 2 1 2 2 1 1 1 1 1
## [10009] 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 1 1 1 1 2 1 2 2 2 1 1 1
## [10045] 1 2 2 2 1 2 2 2 2 1 1 1 1 1 1 1 2 1 2 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 2 2
## [10081] 1 2 2 2 2 2 1 2 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2
## [10117] 2 2 1 1 2 1 2 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1
## [10153] 1 2 2 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2
## [10189] 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2
## [10225] 1 1 2 2 2 1 2 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 1 1 1 1 1 2 2 2 1
## [10261] 1 1 2 2 2 2 2 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1
## [10297] 2 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 2 1 1 1 1 1 1
## [10333] 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [10369] 2 2 2 2 1 1 2 2 2 2 2 1 2 1 1 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2 1 1 1 1 1 1
## [10405] 1 1 1 2 2 2 1 2 2 1 1 1 1 1 2 2 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1
## [10441] 1 1 1 1 1 2 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2 1 1 1 1
## [10477] 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10513] 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 1 1 1
## [10549] 2 2 2 1 1 2 2 2 1 1 1 2 2 2 2 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2
## [10585] 2 2 2 2 2 2 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10621] 1 1 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 1 1
## [10657] 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 2 2 1 2 2 2 1 1 1
## [10693] 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10729] 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 1 2 2 2
## [10765] 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 2
## [10801] 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 1 1
## [10837] 1 1 1 1 1 1 1 2 1 1 1 2 1 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 2
## [10873] 2 2 2 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 2 2 2 1 2 2 2 2 1 1 2 2 2 2 1 1 1 1
## [10909] 1 1 1 1 1 2 2 2 2 2 2 1 1 1 2 1 2 2 2 2 2 2 2 1 2 2 2 1 1 1 1 2 1 1 1 1
## [10945] 1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 2 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2
## [10981] 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [11017] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 2 1 1 1 1 1 2
## [11053] 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 2 2 1
## [11089] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2
## [11125] 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1
## [11161] 1 1 2 1 1 1 2 2 2 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 2 1 1
## [11197] 1 1 1 1 1 1 1 1 2 1 1 1 2 2 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2
## [11233] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1
## [11269] 1 1 1 1 1 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11305] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1
## [11341] 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1
## [11377] 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 2 2
## [11413] 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 1 1 2 2 2 1 2 2 1 1 1 1 1 2 1
## [11449] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [11485] 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 1 1 1 1
## [11521] 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 1 1 1
## [11557] 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1
## [11593] 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [11629] 1 1 1 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 2 2 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1
## [11665] 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1
## [11701] 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11737] 1 1 1 1 1 2 2 2 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [11773] 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 2 2
## [11809] 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 2 2 1 1 2 1 1 2 2 1 1 1 2 2 2 2
## [11845] 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 1 1 1 1
## [11881] 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 2 1 1 1 2 1 1 1 1 1 2 2 1 2 1
## [11917] 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 2 2 2 2 2 1 1 2 2 2 1 1 1 1 1 2 2 2 2 2
## [11953] 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 2 1 1 1
## [11989] 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 2 2 1 1 1 1 1 2 2 2 1
## [12025] 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2 2 2 1 1 2 2 2 1
## [12061] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 2 1 2
## [12097] 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1
## [12133] 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 2 1 1 2 2 1 1 1 1 2 1 1 1 1 1 1 1
## [12169] 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1
## [12205] 1 1 1 1 1 1 2 1 2 2 2 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2
## [12241] 2 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2 2 2
## [12277] 2 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 1 1 1 1
## [12313] 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12349] 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [12385] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 2 1 1 1 1 1 1 1 1
## [12421] 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1
## [12457] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12493] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12529] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1
## [12565] 1 1 1 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12601] 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 1 1 1 2
## [12637] 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [12673] 2 1 2 1 1 2 2 1 1 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2
## [12709] 1 2 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12745] 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 2 1 1 1 1 1 1
## [12781] 1 1 1 2 1 1 1 1 1 1 2 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 2 1 1
## [12817] 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2
## [12853] 2 1 1 2 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 1 1 1 2 2 2
## [12889] 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 2 2 1 1 1 1
## [12925] 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 2 2 2 1 1 1 2 1 1 1 1 1 1 1 1
## [12961] 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2
## [12997] 2 2 2 1 1 1 1 1 1 2 1 2 2 1 1 1 1 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1
## [13033] 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 2
## [13069] 2 2 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1
## [13105] 2 2 2 1 2 2 1 1 2 2 1 2 2 2 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1
## [13141] 1 1 1 1 1 1 1 2 2 1 1 1 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 2 1 1 1 1 1 2 2 2
## [13177] 1 1 1 2 2 2 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 2 2 2 2 2
## [13213] 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 2 2 1 1 1 1 2 2 2 1 1 1 2 1
## [13249] 2 2 2 2 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1
## [13285] 1 2 1 2 2 1 2 1 1 1 1 2 2 1 1 2 2 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1 2 1 1 2
## [13321] 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 1 1 1
## [13357] 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2
## [13393] 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1
## [13429] 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 2 1 1 1 1 2 2 1 1 1 1 1 1
## [13465] 1 1 2 2 2 2 1 1 2 1 1 1 1 2 2 1 1 1 1 1 1 1 2 1 1 1 2 2 2 1 2 2 2 2 2 2
## [13501] 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1
## [13537] 1 1 2 1 1 1 1 1 2 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 2 1 1 2 2 2 2 1 1 1 2 2
## [13573] 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 1 1 2 1 1 2 2 2 2 1 1 1 1 1 1 1 2 2 2 1
## [13609] 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 2 1 1 2 2 2 1 1 1 1 2 2 2 2 2 1 1 1 1 2
## [13645] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2 1 2 2 1 2 2 1 1 1
## [13681] 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1
## [13717] 2 2 2 2 2 2 1 2 2 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1
## [13753] 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 1 1 1 2 2 2 2 2 1 1 1 2 2 1 1 2 1 1 1 1
## [13789] 1 1 2 2 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2
## [13825] 2 1 2 1 2 1 1 2 2 1 1 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 1 1 1 2 2 2 2 2 1 1
## [13861] 1 2 1 1 1 2 1 1 1 1 1 2 2 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2
## [13897] 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 2 2 1 2 1 2 2
## [13933] 2 2 2 2 2 1 2 1 1 1 1 1 1 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2
## [13969] 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 1 1 1
## [14005] 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 1 2 2 2 2 2 1 1 1 1 1 2 2 2 2 1 1
## [14041] 1 1 1 1 1 2 2 2 1 2 2 2 1 1 2 2 2 1 1 1 2 2 2 1 1 2 1 2 1 1 1 1 1 2 1 1
## [14077] 1 2 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 1 1 2 1 2 2 1
## [14113] 2 2 2 2 1 1 1 1 1 2 2 1 2 2 1 2 2 1 1 2 1 1 1 2 2 1 2 2 1 1 1 1 2 2 1 1
## [14149] 2 1 2 2 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 2 2 2 1 1 1 1 2 2 2 2 1 1 2 1 2 2
## [14185] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 1 1 1 1 2 1 1 1 2 1 1 1 2 2 2
## [14221] 2 2 2 2 2 1 2 2 1 2 1 2 1 1 2 1 1 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1
## [14257] 2 2 2 2 2 1 1 1 2 2 2 2 2 1 1 2 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2
## [14293] 2 2 2 1 1 1 2 2 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1
## [14329] 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 1 1 2 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1
## [14365] 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1
## [14401] 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 2 2 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 2
## [14437] 2 1 1 1 2 1 2 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 1 2 2 1 2 2 2 2 1 2 1 1 1 1
## [14473] 1 1 1 1 1 1 1 2 2 1 2 2 2 2 1 1 1 2 2 2 2 2 2 1 1 2 1 2 1 1 1 1 1 1 1 1
## [14509] 1 2 2 1 1 2 2 1 2 2 1 2 2 1 1 1 1 1 1 2 1 1 1 1 1 2 2 2 2 1 1 1 1 2 2 2
## [14545] 1 1 1 1 1 2 2 2 2 1 1 1 1 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2
## [14581] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 2 2 1 1 1 1 1 2 2 2 1 1
## [14617] 1 1 1 1 1 1 2 2 1 1 2 2 1 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 2 1 2
## [14653] 2 1 1 1 1 1 2 2 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 2 1 1 1 1
## [14689] 1 1 2 2 1 1 1 1 1 2 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 2 1 1 1 2 1 1 2 2 2
## [14725] 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2
## [14761] 2 1 1 2 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 2
## [14797] 1 1 1 1 1 1 1 1 2 1 2 1 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 2
## [14833] 2 1 1 1 2 2 2 1 1 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1
## [14869] 1 1 1 2 2 1 2 2 1 1 1 2 2 2 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [14905] 2 2 2 2 1 2 1 1 2 2 2 2 2 2 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 2
## [14941] 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 1 1 1
## [14977] 1 2 2 1 2 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2
## [15013] 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 1 1 1 2 2 2 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1
## [15049] 2 2 1 2 1 1 1 1 2 1 1 1 2 2 2 2 2 2 1 1 2 1 2 1 2 2 2 1 1 1 1 2 1 1 1 1
## [15085] 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 1 1 1 2 2 2 2 1 1 1 1 1 2 2 2 1 1 2 2 1 1
## [15121] 1 1 1 1 1 2 2 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 2 1 1 1 1 1
## [15157] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 2 2 2 1 1 1 1
## [15193] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1
## [15229] 1 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [15265] 1 1 1 1 2 2 2 2 2 2 1 1 1 1 2 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 2 1 1 1 1 2
## [15301] 2 1 1 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 2 2 2 1 1 2 2 2 2 2 1 1 1 1 2 2 2
## [15337] 2 2 1 2 2 2 2 1 2 2 2 1 1 2 1 1 1 1 1 2 1 2 2 1 1 1 2 1 1 2 2 2 2 2 2 1
## [15373] 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 2 2 2 1 2 1 1 2 2 1 1 1 1 1 1 1 1
## [15409] 1 2 2 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [15445] 1 1 2 2 1 1 2 1 1 1 2 1 1 2 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1
## [15481] 1 1 1 1 1 1 1 2 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 2 1 2 2 2 1 1 1 1 2
## [15517] 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 2 2 2 1 1 1
## [15553] 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 2 1 1 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1
## [15589] 1 1 1 1 1 2 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 2 2 1 1 1 1 1 2
## [15625] 2 2 2 1 2 2 2 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1
## [15661] 1 1 2 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 2 1 1 2 2 1 1 1 1 1 1
## [15697] 1 1 1 1 1 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1
## [15733] 1 2 2 2 2
## 
## Within cluster sum of squares by cluster:
## [1] 2106.280 2000.586
##  (between_SS / total_SS =  49.9 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"

#Add the cluster assignments as a factor in the data frame
fe_test_out_scaled$cluster <- as.factor(kmModel_test$cluster)
head(fe_test_out_scaled)

##   company_name status_label year        X1        X2        X3        X5
## 1          C_1        alive    0 0.8859633 0.9088472 0.5471894 0.7304792
## 2          C_1        alive    0 0.8961008 0.9111779 0.6415353 0.7711349
## 3          C_1        alive    0 0.8971019 0.9109830 0.6737841 0.7748568
## 4          C_1        alive    0 0.8938971 0.9103744 0.6547404 0.7671790
## 5          C_1        alive    0 0.8936527 0.9105600 0.5720723 0.7648079
## 6          C_2        alive    0 0.9147122 0.9109481 0.6964213 0.7562953
##            X6        X7        X8        X9       X10       X11       X13
## 1 0.001061683 0.5688525 0.5434620 0.8598426 0.5391276 0.6626979 0.7933372
## 2 0.001656774 0.6197980 0.4766205 0.8615737 0.5935186 0.7342238 0.7941776
## 3 0.001876436 0.6123251 0.5260128 0.8615136 0.5936504 0.7223063 0.7943506
## 4 0.001983229 0.5901825 0.5321018 0.8608089 0.5655547 0.5702040 0.7934679
## 5 0.002293192 0.5787289 0.5602616 0.8610630 0.5660362 0.6338154 0.7938464
## 6 0.002492272 0.6856861 0.7250980 0.8632434 0.6380398 0.4066021 0.7987601
##         X14       X15       X16       X17       X18       X19 cluster
## 1 0.5939366 0.4361635 0.8598426 0.5935964 0.9032991 0.7242650       2
## 2 0.6442356 0.4366249 0.8615737 0.6564536 0.9057360 0.7248874       2
## 3 0.6310959 0.4368654 0.8615136 0.6488802 0.9055708 0.7250004       2
## 4 0.6330690 0.4368419 0.8608089 0.6054576 0.9049257 0.7235787       2
## 5 0.6157443 0.4370202 0.8610630 0.5955742 0.9052003 0.7242905       2
## 6 0.7054848 0.4390500 0.8632434 0.6396690 0.9072868 0.7277521       2

#Save the centroids
kmCenters_test <- as.data.frame(kmModel_test$centers)
kmCenters_test

##   year        X1        X2        X3        X5        X6        X7        X8
## 1    0 0.8181799 0.9039325 0.2031426 0.1813817 0.6399294 0.2171439 0.3083644
## 2    0 0.8848324 0.9110118 0.6145191 0.5452502 0.5115479 0.5582323 0.5548543
##          X9       X10       X11       X13       X14       X15       X16
## 1 0.8570310 0.2886756 0.1355092 0.7921626 0.2929651 0.4354576 0.8570310
## 2 0.8630413 0.5807522 0.6379122 0.7968850 0.6123248 0.4373263 0.8630413
##         X17       X18       X19
## 1 0.2904413 0.8982497 0.7231457
## 2 0.6324653 0.9062026 0.7268086

#  Complete same process for test set
df_test <- fe_test_out_scaled %>%
  mutate(
    status_label = factor(status_label),   # truth: e.g., alive/failed
    cluster      = factor(cluster)         # predicted ids: 1/2
  )

# Confusion between cluster IDs and actual labels (to discover mapping)
cm_test <- table(Cluster = df_test$cluster, Actual = df_test$status_label)
cm_test

##        Actual
## Cluster alive failed
##       1  8255    565
##       2  6468    449

# Inspect which label dominates each cluster:
# For each cluster row, pick the column (label) with the max count.
map_cluster_to_label_test <- apply(cm_test, 1, function(r) names(which.max(r)))
# e.g. c("1"="alive", "2"="failed")  (your data will decide)

#  Create predicted labels using the mapping
df_test <- df_test %>%
  mutate(pred_label = factor(map_cluster_to_label[as.character(cluster)],
                             levels = levels(status_label)))

# Ensure readiness for metrics
table(Predicted = df_test$pred_label, Actual = df_test$status_label)

##          Actual
## Predicted alive failed
##    alive  14723   1014
##    failed     0      0

# Metrics
df_test %>%
  summarise(
    accuracy  = accuracy_vec(status_label, pred_label),
    precision = precision_vec(status_label, pred_label),
    recall    = recall_vec(status_label, pred_label),
    f1        = f_meas_vec(status_label, pred_label)
  )

##    accuracy precision recall        f1
## 1 0.9355659 0.9355659      1 0.9667104

# Create data frame of only numeric columns
X_test <- fe_test_out_scaled %>% select(where(is.numeric))

# Remove constant or near-constant columns due to previous error message
X_test <- X_test %>% select(where(~ sd(.x, na.rm = TRUE) > 0))

# Run PCA
pca_test <- prcomp(X_test, center = TRUE, scale. = TRUE)

# Create a data frame for plotting
pca_df_test <- as.data.frame(pca_test$x[, 1:2])
names(pca_df_test) <- c("PC1", "PC2")
pca_df_test$cluster <- factor(kmModel_test$cluster)  # or km$cluster

# Plot the clusters
ggplot(pca_df_test, aes(PC1, PC2, color = cluster)) +
  geom_point(alpha = 0.8, size = 2) +
  stat_ellipse(level = 0.95, linewidth = 0.4) +
  theme_minimal() +
  labs(title = "K-means Clusters (PCA projection)", color = "Cluster")