NorthamJDDS8501-8

Executive Summary

Introduction:

To explore data related to company bankruptcy, a comprehensive exploratory data analysis (EDA) was completed with the objective of understanding the dataset, assessing the quality of the data, and gaining preliminary insights to guide subsequent data analysis with machine learning models. This report summarizes the findings of this EDA and offers detailed information regarding the data to guide stakeholders in the decision-making process regarding company failure rates.

The reason for using the american_dataset in Kaggle was due to the size of the dataset and inclusion of a high number of variables

The most important findings were that the high variability of the data and unbalanced datasets between non-bankruptcy and bankruptcy groups led to a risk of false negative predictions using a k-means model

Data Overview:

The dataset “american_bankruptcy.csv” consists of 78,682 rows and 21 columns, each representing a unique variable. Each variable was thoroughly reviewed during this EDA. Two qualitative variables of company_name and status_label (alive or failed) were found. Year was listed as numeric. All remaining variables were numeric, continuous, and related to financial information. No variables were misclassified. No missing values were found.

Inspection revealed two similar variables related to expenses that were highly correlated, which were collapsed into a single variable to increase computational efficiency

Variables were appropriately classified to ensure analytical tools and methods would be appropriate for this dataset. This ensures results obtained are reliable and can be trusted when used for business decision-making

R Markdown and Knitting

R Markdown was used for the documentation tool, with a detailed report provided in Microsoft Word. R Markdown provides a method for documentation of analytical methods with annotation and descriptions. Use of the “knit” command for the R Markdown document provides a visible (.pdf or HTML) report for clear access to methods, justifications and results.

Key Takeaways

This EDA used the american_bankruptcy dataset to complete descriptive statistics, complete transformations, and complete feature engineering. Additionally, a k-means cluster model was used to cluster both train and test datasets. Results indicated use of unbalanced groups of non-bankruptcy and bankruptcy data sets negatively affected the cluster model performance, with high precision and accuracy reflected in metrics but a high likelihood of false negative predictions. Future work using a larger number of clusters, use of prediction models such as support vector machines, and AUC/ROC metrics will be used to improve performance.

Conclusions

The EDA process for the “american_bankruptcy.csv” dataset is essential prior to further prediction model development. The findings from this EDA provided insights into limitations to be addressed through future work. Further insights with improved model performance will result in increased clarity and guidance in making predictions regarding a company’s risk of bankruptcy.

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")

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install.packages("tinytex", repos = "https://cloud.r-project.org")

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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)

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library(readr)

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library(kableExtra)

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library(tidyr)
library(plyr)

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library(Amelia)

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## ## 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
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library(rsample)

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library(bestNormalize)

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library(stats)
library(yardstick)

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require(Amelia)
require(car)

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require(cluster)

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require(clue)

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require(fastDummies)

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require(ggplot2)
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require(magrittr)

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require(ResourceSelection)

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require(Rmisc)

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require(stargazer)

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

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require(yardstick)
require(stringr)

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require(tidyverse)

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require(reshape2)

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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("Figure 1. 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('Figure 9. 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 = "Figure 2. 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 = "Figure 3. 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 = "Figure 4. 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 = "Figure 5. 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 = "Figure 6. 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 = "Figure 7. 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 = "Figure 8. 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
  )

# Create 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")

#  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 creation of the final cluster diagram using principal component analysis was used on the train data set to assess performance.

# 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") 

#  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
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)

# 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 = "Figure 10. K-means Clusters (PCA projection)", color = "Cluster")

df_test_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)
  )

df_test_metrics %>%
  kbl(caption = " Table 3. Performance Metrics of Test Dataset") %>%
  kable_classic()

Table 3. Performance Metrics of Test Dataset

accuracy	precision	recall	f1
0.9355659	0.9355659	1	0.9667104

In this EDA, several limitations surfaced during data analysis. Although accuracy and precision scores are over 90%, the metrics should be interpreted with caution due to the unbalanced data sets. Because so few observations were included in the bankruptcy group, high accuracy was obtained with a high number of false negatives (predicted as non-bankruptcy when in fact are in the bankruptcy group). Although the recall = 1, this requires further investigation due to the likelihood of false negative predictions. Use of the AUC and ROC measures in future work will increase the reliability and clarity of results.

Additionally, use of 2 clusters was insufficient as shown with the cluster diagram. Although cluster groups included a similar number of counts, with the between sum of squares at 8090.69 and the total sum of squares at 8343.84, the variability of one cluster group was wider than the other cluster group. As seen in the previous cluster diagram of the test cluster model, cluster 1 includes PCA values from –2 to 5 while cluster 2 contains PCA values from –30 to 10. Future models will use the elbow method to determine the appropriate number of clusters to improve the performance of the cluster model.

Conclusion

Use of machine learning models for bankruptcy prediction has high value to reduce or avoid investment losses for investors. Business creditors also benefit from predicting business failures and potential losses from unresolved company debts. This EDA used the american_bankruptcy dataset to complete descriptive statistics, complete transformations, and complete feature engineering. Additionally, a k-means cluster model was used to cluster both train and test datasets. Results indicated use of unbalanced groups of non-bankruptcy and bankruptcy data sets negatively affected the cluster model performance, with high precision and accuracy reflected in metrics but a high likelihood of false negative predictions. Future work using a larger number of clusters, use of prediction models such as support vector machines, and AUC/ROC metrics will be used to improve performance.