0.1 General Introduction

A census is a procedure that acquires information about people in a given population, and the data collected impacts the design and implementation of policies and laws in governmental sectors including education, housing, transportation, health, and environmental protection. In this case, the census analysis is oriented towards the income of american adult in 1996.

0.2 Data Reading

First, we input and read the data that we will be using.

adult <- read.csv("data/adult.csv")
head(adult)
##   age workclass fnlwgt    education educational.num     marital.status
## 1  25   Private 226802         11th               7      Never-married
## 2  38   Private  89814      HS-grad               9 Married-civ-spouse
## 3  28 Local-gov 336951   Assoc-acdm              12 Married-civ-spouse
## 4  44   Private 160323 Some-college              10 Married-civ-spouse
## 5  18         ? 103497 Some-college              10      Never-married
## 6  34   Private 198693         10th               6      Never-married
##          occupation  relationship  race gender capital.gain capital.loss
## 1 Machine-op-inspct     Own-child Black   Male            0            0
## 2   Farming-fishing       Husband White   Male            0            0
## 3   Protective-serv       Husband White   Male            0            0
## 4 Machine-op-inspct       Husband Black   Male         7688            0
## 5                 ?     Own-child White Female            0            0
## 6     Other-service Not-in-family White   Male            0            0
##   hours.per.week native.country income
## 1             40  United-States  <=50K
## 2             50  United-States  <=50K
## 3             40  United-States   >50K
## 4             40  United-States   >50K
## 5             30  United-States  <=50K
## 6             30  United-States  <=50K

Data Attributes Information:

  • int_rate: Interest rate in percentages
  • age: continuous
  • workclass: Private, Self-emp-not-inc, Self-emp-inc, Federal-gov, Local-gov, State-gov, Without-pay, Never-worked.
  • fnlwgt: continuous.
  • education: Bachelors, Some-college, 11th, HS-grad, Prof-school, Assoc-acdm, Assoc-voc, 9th, 7th-8th, 12th, Masters, 1st-4th, 10th, Doctorate, 5th-6th, Preschool
  • education-num: continuous.
  • marital-status: Married-civ-spouse, Divorced, Never-married, Separated, Widowed, Married-spouse-absent, Married-AF-spouse.
  • occupation: Tech-support, Craft-repair, Other-service, Sales, Exec-managerial, Prof-specialty, Handlers-cleaners, Machine-op-inspct, Adm-clerical, Farming-fishing, Transport-moving, Priv-house-serv, Protective-serv, Armed-Forces.
  • relationship: Wife, Own-child, Husband, Not-in-family, Other-relative, Unmarried.
  • race: White, Asian-Pac-Islander, Amer-Indian-Eskimo, Other, Black.
  • sex: Female, Male
  • capital-gain: continuous.
  • capital-loss: continuous.
  • hours-per-week: continuous.
  • native-country : United-States, Cambodia, England, Puerto-Rico, Canada, Germany, Outlying-US(Guam-USVI-etc), India, Japan, Greece, South, China, Cuba, Iran, Honduras, Philippines, Italy, Poland, Jamaica, Vietnam, Mexico, Portugal, Ireland, France, Dominican-Republic, Laos, Ecuador, Taiwan, Haiti, Columbia, Hungary, Guatemala, Nicaragua, Scotland, Thailand, Yugoslavia, El-Salvador, Trinadad&Tobago, Peru, Hong, Holand-Netherlands.
  • class: >50K, <=50K

0.3 Data Wrangling

Next, we change and fix the structure of the data before calculate it.

# Observe the data structure
dplyr::glimpse(adult)
## Rows: 48,842
## Columns: 15
## $ age             <int> 25, 38, 28, 44, 18, 34, 29, 63, 24, 55, 65, 36, 26, 58…
## $ workclass       <chr> "Private", "Private", "Local-gov", "Private", "?", "Pr…
## $ fnlwgt          <int> 226802, 89814, 336951, 160323, 103497, 198693, 227026,…
## $ education       <chr> "11th", "HS-grad", "Assoc-acdm", "Some-college", "Some…
## $ educational.num <int> 7, 9, 12, 10, 10, 6, 9, 15, 10, 4, 9, 13, 9, 9, 9, 14,…
## $ marital.status  <chr> "Never-married", "Married-civ-spouse", "Married-civ-sp…
## $ occupation      <chr> "Machine-op-inspct", "Farming-fishing", "Protective-se…
## $ relationship    <chr> "Own-child", "Husband", "Husband", "Husband", "Own-chi…
## $ race            <chr> "Black", "White", "White", "Black", "White", "White", …
## $ gender          <chr> "Male", "Male", "Male", "Male", "Female", "Male", "Mal…
## $ capital.gain    <int> 0, 0, 0, 7688, 0, 0, 0, 3103, 0, 0, 6418, 0, 0, 0, 310…
## $ capital.loss    <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
## $ hours.per.week  <int> 40, 50, 40, 40, 30, 30, 40, 32, 40, 10, 40, 40, 39, 35…
## $ native.country  <chr> "United-States", "United-States", "United-States", "Un…
## $ income          <chr> "<=50K", "<=50K", ">50K", ">50K", "<=50K", "<=50K", "<…

From the structure output, we can see that some of these columns have a large number of factors. We can clean these columns by combining similar factors, thus reducing the total number of factors.

0.3.1 Work Class Combining

table(adult$workclass)
## 
##                ?      Federal-gov        Local-gov     Never-worked 
##             2799             1432             3136               10 
##          Private     Self-emp-inc Self-emp-not-inc        State-gov 
##            33906             1695             3862             1981 
##      Without-pay 
##               21
# Now we combine similar categories into the existing available factors:
adult$workclass <- as.character(adult$workclass)

adult$workclass[adult$workclass == "Without-pay" | 
                  adult$workclass == "Never-worked"] <- "Unemployed"

adult$workclass[adult$workclass == "State-gov" |
                  adult$workclass == "Local-gov"] <- "SL-gov"

adult$workclass[adult$workclass == "Self-emp-inc" |
                  adult$workclass == "Self-emp-not-inc"] <- "Self-employed"

table(adult$workclass)
## 
##             ?   Federal-gov       Private Self-employed        SL-gov 
##          2799          1432         33906          5557          5117 
##    Unemployed 
##            31

0.3.2 Marital Status Combining

table(adult$marital.status)
## 
##              Divorced     Married-AF-spouse    Married-civ-spouse 
##                  6633                    37                 22379 
## Married-spouse-absent         Never-married             Separated 
##                   628                 16117                  1530 
##               Widowed 
##                  1518

We can reduce these factors into 3 group categories:

  • Married
  • Not-Married
  • Never-Married
# Simplified into a new created category:
adult$marital.status <- as.character(adult$marital.status)

adult$marital.status[adult$marital.status == "Married-AF-spouse" |
                       adult$marital.status == "Married-civ-spouse" |
                       adult$marital.status == "Married-spouse-absent"] <- "Married"

adult$marital.status[adult$marital.status == "Divorced" |
                       adult$marital.status == "Separated" |
                       adult$marital.status == "Widowed"] <- "Not-Married"
table(adult$marital.status)
## 
##       Married Never-married   Not-Married 
##         23044         16117          9681

0.3.3 Country Combining

There are a lot of countries here, we can reduce them to their respective regions.

adult$native.country <- as.character(adult$native.country)

north.america <- c("Canada", "Cuba", "Dominican-Republic", "El-Salvador", "Guatemala",
                   "Haiti", "Honduras", "Jamaica", "Mexico", "Nicaragua",
                   "Outlying-US(Guam-USVI-etc)", "Puerto-Rico", "Trinadad&Tobago",
                   "United-States")
asia <- c("Cambodia", "China", "Hong", "India", "Iran", "Japan", "Laos",
          "Philippines", "Taiwan", "Thailand", "Vietnam")
south.america <- c("Columbia", "Ecuador", "Peru")
europe <- c("England", "France", "Germany", "Greece", "Holand-Netherlands",
            "Hungary", "Ireland", "Italy", "Poland", "Portugal", "Scotland",
            "Yugoslavia")
other <- c("South", "?")

adult$native.country[adult$native.country %in% north.america] <- "North America"
adult$native.country[adult$native.country %in% asia] <- "Asia"
adult$native.country[adult$native.country %in% south.america] <- "South America"
adult$native.country[adult$native.country %in% europe] <- "Europe"
adult$native.country[adult$native.country %in% other] <- "Other"

table(adult$native.country)
## 
##          Asia        Europe North America         Other South America 
##           981           780         45933           972           176

0.3.4 Return Back into Factors

Now we can revert the altered columns of the combine/simplified data back to a factors since we change them to characters earlier.

# Return back into Factors
adult$native.country <- as.factor(adult$native.country)
adult$marital.status <- as.factor(adult$marital.status)
adult$workclass <- as.factor(adult$workclass)

library(dplyr) # make sure the library is called when we use pipping method (%>%)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
adult_clean <- adult %>% 
  mutate_if(is.character, as.factor) %>% # change all colomn with character into factor
  mutate(native.country = as.factor(native.country),
         marital.status = as.factor(marital.status),
         workclass = as.factor(workclass))

dplyr::glimpse(adult_clean)
## Rows: 48,842
## Columns: 15
## $ age             <int> 25, 38, 28, 44, 18, 34, 29, 63, 24, 55, 65, 36, 26, 58…
## $ workclass       <fct> Private, Private, SL-gov, Private, ?, Private, ?, Self…
## $ fnlwgt          <int> 226802, 89814, 336951, 160323, 103497, 198693, 227026,…
## $ education       <fct> 11th, HS-grad, Assoc-acdm, Some-college, Some-college,…
## $ educational.num <int> 7, 9, 12, 10, 10, 6, 9, 15, 10, 4, 9, 13, 9, 9, 9, 14,…
## $ marital.status  <fct> Never-married, Married, Married, Married, Never-marrie…
## $ occupation      <fct> Machine-op-inspct, Farming-fishing, Protective-serv, M…
## $ relationship    <fct> Own-child, Husband, Husband, Husband, Own-child, Not-i…
## $ race            <fct> Black, White, White, Black, White, White, Black, White…
## $ gender          <fct> Male, Male, Male, Male, Female, Male, Male, Male, Fema…
## $ capital.gain    <int> 0, 0, 0, 7688, 0, 0, 0, 3103, 0, 0, 6418, 0, 0, 0, 310…
## $ capital.loss    <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
## $ hours.per.week  <int> 40, 50, 40, 40, 30, 30, 40, 32, 40, 10, 40, 40, 39, 35…
## $ native.country  <fct> North America, North America, North America, North Ame…
## $ income          <fct> <=50K, <=50K, >50K, >50K, <=50K, <=50K, <=50K, >50K, <…

0.3.5 Dealing with Missing Data (NA value)

# Investigating the existence of NA value:
anyNA(adult_clean)
## [1] FALSE

It’s quite suspicious that we can’t find any NA value, because during the data wrangling earlier we can see that there were some values with just a “?”. We can convert these values of “?” into NA so we can deal with it in a more efficient manner.

table(adult_clean$workclass)
## 
##             ?   Federal-gov       Private Self-employed        SL-gov 
##          2799          1432         33906          5557          5117 
##    Unemployed 
##            31
adult_clean[adult_clean == "?"] <- NA
table(adult_clean$workclass)
## 
##             ?   Federal-gov       Private Self-employed        SL-gov 
##             0          1432         33906          5557          5117 
##    Unemployed 
##            31

Now we can create a missingness map to get a visual idea of where there are NA values in the dataframe.

library(Rcpp)
## Warning: package 'Rcpp' was built under R version 4.2.2
library(Amelia)
## Warning: package 'Amelia' was built under R version 4.2.2
## ## 
## ## Amelia II: Multiple Imputation
## ## (Version 1.8.0, built: 2021-05-26)
## ## Copyright (C) 2005-2022 James Honaker, Gary King and Matthew Blackwell
## ## Refer to http://gking.harvard.edu/amelia/ for more information
## ##
missmap(adult_clean, y.at = 1, y.labels = "", col = c("yellow", "black"), legend = TRUE)

From the missmap, we can see that all of the NA values are found within the occupation and workclass columns. We will choose to omit these values since there are only a few of them).

adult_clean <- na.omit(adult_clean)
missmap(adult_clean, y.at = 1, y.label = "", legend = TRUE , col = c("yellow", "black"))

We can see that all of the NA values have been omitted from the dataset, thus we can continue to process our data.

0.4 Exploratory Data Analysis

0.4.1 Data Distribution

summary(adult_clean)
##       age                workclass         fnlwgt               education    
##  Min.   :17.00   ?            :    0   Min.   :  13492   HS-grad     :14972  
##  1st Qu.:28.00   Federal-gov  : 1432   1st Qu.: 117606   Some-college:10036  
##  Median :37.00   Private      :33906   Median : 178353   Bachelors   : 7772  
##  Mean   :38.56   Self-employed: 5557   Mean   : 189805   Masters     : 2590  
##  3rd Qu.:47.00   SL-gov       : 5117   3rd Qu.: 237865   Assoc-voc   : 1978  
##  Max.   :90.00   Unemployed   :   21   Max.   :1490400   11th        : 1631  
##                                                          (Other)     : 7054  
##  educational.num       marital.status            occupation   
##  Min.   : 1.00   Married      :22066   Prof-specialty : 6172  
##  1st Qu.: 9.00   Never-married:14875   Craft-repair   : 6112  
##  Median :10.00   Not-Married  : 9092   Exec-managerial: 6086  
##  Mean   :10.13                         Adm-clerical   : 5611  
##  3rd Qu.:13.00                         Sales          : 5504  
##  Max.   :16.00                         Other-service  : 4923  
##                                        (Other)        :11625  
##          relationship                   race          gender     
##  Husband       :19005   Amer-Indian-Eskimo:  435   Female:14919  
##  Not-in-family :11916   Asian-Pac-Islander: 1423   Male  :31114  
##  Other-relative: 1400   Black             : 4356                 
##  Own-child     : 6706   Other             :  375                 
##  Unmarried     : 4867   White             :39444                 
##  Wife          : 2139                                            
##                                                                  
##   capital.gain    capital.loss     hours.per.week        native.country 
##  Min.   :    0   Min.   :   0.00   Min.   : 1.00   Asia         :  930  
##  1st Qu.:    0   1st Qu.:   0.00   1st Qu.:40.00   Europe       :  738  
##  Median :    0   Median :   0.00   Median :40.00   North America:43283  
##  Mean   : 1114   Mean   :  88.73   Mean   :40.95   Other        :  912  
##  3rd Qu.:    0   3rd Qu.:   0.00   3rd Qu.:45.00   South America:  170  
##  Max.   :99999   Max.   :4356.00   Max.   :99.00                        
##                                                                         
##    income     
##  <=50K:34611  
##  >50K :11422  
##               
##               
##               
##               
## 

From the summary of the data we can get a glimpse of our data characteristics, but in order to make it more attractive and easier to understand then we will visualize it by plot a histogram of “ages” that is colored by “income”.

library(ggplot2)
ggplot(adult_clean, aes(age)) + geom_histogram(aes(fill = income), 
                                         color = "black",
                                         binwidth = 1)

Here the coloring is indicative of percentage. From this plot we can see that the percentage of people who make above 50K peaks out at roughly 35% between ages 30 and 50. Next we will plot a histogram of hours worked per week.

ggplot(adult_clean, aes(hours.per.week)) + geom_histogram()
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

It is clear that the highest frequency of hours.per.week occurs at 40. What is the income class by region? First we need to change the name of the country column to region.

library(data.table)
## 
## Attaching package: 'data.table'
## The following objects are masked from 'package:dplyr':
## 
##     between, first, last
setnames(adult_clean, "native.country", "region")

# Reorder factor levels by count
region.ordered <- reorder(adult_clean$region, adult_clean$region, length)
region.ordered <- factor(region.ordered, levels = rev(levels(region.ordered)))

ggplot(adult_clean, aes(region.ordered)) + geom_bar(aes(fill = income), color = "black")

0.4.2 Check Class Imbalance

In this step, we will try to balance our train dataset as much as possible to be a balance one, therefore we can predict more accurately when using the test dataset.

prop.table(table(adult_clean$income))
## 
##     <=50K      >50K 
## 0.7518737 0.2481263

0.5 Cross Validation & Data Pre-Processing

RNGkind(sample.kind = "Rounding")
## Warning in RNGkind(sample.kind = "Rounding"): non-uniform 'Rounding' sampler
## used
set.seed(417)

index <- sample(nrow(adult_clean), nrow(adult_clean)*0.8)
adult_train <- adult_clean[index,]
adult_test <- adult_clean[-index,]
nrow(adult_clean) * 0.8
## [1] 36826.4
nrow(adult_train)
## [1] 36826
nrow(adult_clean) * 0.2
## [1] 9206.6
nrow(adult_test)
## [1] 9207
# re-check class imbalance
table(adult_train$income)
## 
## <=50K  >50K 
## 27652  9174
# re-check proportion
prop.table(table(adult_train$income))
## 
##     <=50K      >50K 
## 0.7508825 0.2491175

Because of the data is still imbalance, then we will try to do a downsampling.

# downsampling
RNGkind(sample.kind = "Rounding")
## Warning in RNGkind(sample.kind = "Rounding"): non-uniform 'Rounding' sampler
## used
set.seed(417)
library(caret)
## Warning: package 'caret' was built under R version 4.2.2
## Loading required package: lattice
adult_train <- downSample(x=adult_train %>% select(-fnlwgt), #hanya select variabel prediktor saja
                         y=adult_train$income, # hanya selesct variabel target saja
                         yname="income") # nama kolom target
# re-check class imbalance
table(adult_train$income)
## 
## <=50K  >50K 
##  9174  9174
# re-check proportion
prop.table(table(adult_train$income))
## 
## <=50K  >50K 
##   0.5   0.5

The dataset is already balanced, therefore we can proceed to the next step.

0.6 Building The Logistic Model (Method 1)

0.6.1 Setting The Formula

log.model <- glm(income ~ age + gender + marital.status, family = binomial(), 
                 adult_train)
prediction <- predict(log.model, adult_test, type = "response")

0.6.2 Confusion Matrix

After making predictions using the model, there are still wrong predictions. In classification, in addition to using AIC, we evaluate models based on confusion matrix:

  • TP (True Positive) = When we predict a positive class, and it is true
  • TN (True Negative) = When we predict a negative class, and it is true
  • FP (False Positive) = When we predict a positive class, and it is false
  • N (False Negative) = When we predict a negative class, and it is wrong
table(adult_test$income, prediction >= 0.5)
##        
##         FALSE TRUE
##   <=50K  4566 2393
##   >50K    325 1923

Accuracy - How close are the predicted values to the true values? \[accuracy = \frac{(TP+TN)}{TOTAL}\]

(4566+1923)/(4566+2393+325+1923)
## [1] 0.7047898

So, from the result we have the accuracy of 0.704

Recall - What is the true positive rate? \[recall = \frac{(TP)}{TP+FN}\]

4566/(4566+325)
## [1] 0.9335514

So, from the result we have the recall value of 0.933 which is good because it’s above 0.933 of our threshold standard.

0.7 Building The Logistic Model (Method 2)

0.7.1 Setting The Formula

model_adult <- glm(formula = income ~ age + gender + marital.status,
                   data = adult_train,
                   family = "binomial")
summary(model_adult)
## 
## Call:
## glm(formula = income ~ age + gender + marital.status, family = "binomial", 
##     data = adult_train)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.2688  -0.7025   0.0037   0.8450   2.2578  
## 
## Coefficients:
##                              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                 -0.827080   0.080432 -10.283  < 2e-16 ***
## age                          0.032962   0.001621  20.335  < 2e-16 ***
## genderMale                   0.354818   0.045298   7.833 4.77e-15 ***
## marital.statusNever-married -2.266593   0.053544 -42.331  < 2e-16 ***
## marital.statusNot-Married   -1.962764   0.053337 -36.799  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 25436  on 18347  degrees of freedom
## Residual deviance: 19564  on 18343  degrees of freedom
## AIC: 19574
## 
## Number of Fisher Scoring iterations: 4

0.7.2 Selection Method

Then we will make the model based on feature selection method

# stepwise method
model_step <- step(object = model_adult, direction = "backward", trace = F)
summary(model_step)
## 
## Call:
## glm(formula = income ~ age + gender + marital.status, family = "binomial", 
##     data = adult_train)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.2688  -0.7025   0.0037   0.8450   2.2578  
## 
## Coefficients:
##                              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                 -0.827080   0.080432 -10.283  < 2e-16 ***
## age                          0.032962   0.001621  20.335  < 2e-16 ***
## genderMale                   0.354818   0.045298   7.833 4.77e-15 ***
## marital.statusNever-married -2.266593   0.053544 -42.331  < 2e-16 ***
## marital.statusNot-Married   -1.962764   0.053337 -36.799  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 25436  on 18347  degrees of freedom
## Residual deviance: 19564  on 18343  degrees of freedom
## AIC: 19574
## 
## Number of Fisher Scoring iterations: 4

0.7.3 Prediction Visualization

adult_test$pred.Risk <- predict(model_step, adult_test, type="response")

# ifelse(kondisi, benar, salah)
adult_test$pred.Label <- ifelse(adult_test$pred.Risk > 0.5, "1", "0")

# ubah kelas target (aktual dan prediksi) menjadi factor

adult_test$pred.Label <- as.factor(adult_test$pred.Label)

# lihat hasil prediksi
adult_test %>% select(income, pred.Label)
##       income pred.Label
## 12     <=50K          1
## 17     <=50K          0
## 26      >50K          1
## 32     <=50K          0
## 39     <=50K          0
## 44     <=50K          1
## 46      >50K          1
## 48     <=50K          1
## 59      >50K          1
## 61     <=50K          0
## 70     <=50K          1
## 71      >50K          1
## 75     <=50K          1
## 77     <=50K          1
## 80     <=50K          0
## 85     <=50K          1
## 93      >50K          1
## 94     <=50K          0
## 107    <=50K          1
## 111    <=50K          0
## 128    <=50K          0
## 132    <=50K          0
## 141    <=50K          1
## 144     >50K          1
## 146    <=50K          0
## 156    <=50K          0
## 160    <=50K          0
## 163    <=50K          1
## 165     >50K          1
## 171     >50K          1
## 175    <=50K          0
## 179     >50K          1
## 180     >50K          1
## 182     >50K          1
## 196    <=50K          0
## 198     >50K          1
## 199    <=50K          0
## 205     >50K          1
## 214    <=50K          1
## 216    <=50K          1
## 219    <=50K          0
## 221    <=50K          1
## 228    <=50K          1
## 233    <=50K          0
## 234     >50K          1
## 236    <=50K          0
## 238    <=50K          0
## 243    <=50K          0
## 248    <=50K          1
## 258    <=50K          0
## 268    <=50K          1
## 278    <=50K          0
## 281     >50K          1
## 287    <=50K          0
## 290    <=50K          0
## 292    <=50K          1
## 302    <=50K          0
## 305    <=50K          0
## 306    <=50K          0
## 309     >50K          1
## 312    <=50K          0
## 316     >50K          0
## 328    <=50K          0
## 329     >50K          1
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## 47420  <=50K          0
## 47421   >50K          1
## 47430   >50K          1
## 47435  <=50K          0
## 47452  <=50K          1
## 47458  <=50K          0
## 47461  <=50K          0
## 47487  <=50K          1
## 47499  <=50K          1
## 47506  <=50K          0
## 47510  <=50K          1
## 47521  <=50K          0
## 47523  <=50K          1
## 47526   >50K          1
## 47533  <=50K          0
## 47536   >50K          1
## 47542  <=50K          0
## 47543  <=50K          0
## 47562   >50K          1
## 47563  <=50K          1
## 47569  <=50K          1
## 47594  <=50K          1
## 47598  <=50K          0
## 47599  <=50K          0
## 47609   >50K          1
## 47610  <=50K          1
## 47628   >50K          1
## 47635  <=50K          1
## 47643   >50K          1
## 47645  <=50K          0
## 47646   >50K          1
## 47647   >50K          1
## 47664  <=50K          0
## 47667  <=50K          1
## 47668  <=50K          1
## 47673   >50K          1
## 47678  <=50K          0
## 47682  <=50K          1
## 47683   >50K          1
## 47690  <=50K          0
## 47693   >50K          1
## 47695  <=50K          0
## 47720  <=50K          0
## 47721  <=50K          0
## 47723  <=50K          0
## 47726  <=50K          1
## 47727  <=50K          1
## 47734   >50K          1
## 47735   >50K          1
## 47738   >50K          1
## 47742  <=50K          0
## 47743   >50K          1
## 47744  <=50K          1
## 47748  <=50K          0
## 47756  <=50K          1
## 47760  <=50K          0
## 47762  <=50K          1
## 47764  <=50K          1
## 47769  <=50K          0
## 47783  <=50K          0
## 47784   >50K          1
## 47789   >50K          1
## 47792   >50K          1
## 47793  <=50K          1
## 47815   >50K          1
## 47820  <=50K          1
## 47821  <=50K          0
## 47825  <=50K          1
## 47832  <=50K          0
## 47835  <=50K          0
## 47843   >50K          1
## 47847  <=50K          1
## 47856  <=50K          0
## 47866  <=50K          0
## 47870   >50K          0
## 47872  <=50K          0
## 47874  <=50K          1
## 47884  <=50K          0
## 47888  <=50K          0
## 47889  <=50K          0
## 47896  <=50K          1
## 47900   >50K          1
## 47913  <=50K          1
## 47921   >50K          1
## 47935   >50K          0
## 47936   >50K          1
## 47939  <=50K          1
## 47953   >50K          1
## 47954  <=50K          0
## 47958  <=50K          0
## 47969  <=50K          0
## 47971  <=50K          0
## 47972   >50K          1
## 47985   >50K          1
## 47998  <=50K          0
## 48007  <=50K          0
## 48008  <=50K          1
## 48018  <=50K          0
## 48022  <=50K          1
## 48027   >50K          0
## 48030   >50K          1
## 48032   >50K          1
## 48036  <=50K          0
## 48044  <=50K          0
## 48061  <=50K          0
## 48062  <=50K          1
## 48079  <=50K          1
## 48087  <=50K          0
## 48089   >50K          1
## 48091   >50K          1
## 48097   >50K          1
## 48098   >50K          1
## 48105  <=50K          1
## 48128  <=50K          0
## 48133   >50K          0
## 48138  <=50K          0
## 48141  <=50K          0
## 48142  <=50K          0
## 48143  <=50K          1
## 48145  <=50K          1
## 48146  <=50K          0
## 48158  <=50K          1
## 48170  <=50K          0
## 48179  <=50K          0
## 48184  <=50K          1
## 48189   >50K          1
## 48199  <=50K          0
## 48204  <=50K          0
## 48209  <=50K          1
## 48211  <=50K          1
## 48212  <=50K          0
## 48213  <=50K          0
## 48214  <=50K          0
## 48218  <=50K          1
## 48221   >50K          1
## 48226  <=50K          0
## 48227  <=50K          1
## 48240   >50K          0
## 48246  <=50K          0
## 48250   >50K          1
## 48259   >50K          1
## 48260   >50K          1
## 48274   >50K          1
## 48277  <=50K          1
## 48282  <=50K          0
## 48288  <=50K          1
## 48295  <=50K          1
## 48302  <=50K          0
## 48305  <=50K          0
## 48309   >50K          0
## 48313  <=50K          1
## 48317  <=50K          1
## 48318  <=50K          0
## 48333  <=50K          0
## 48349   >50K          1
## 48359   >50K          1
## 48371  <=50K          1
## 48372   >50K          1
## 48376  <=50K          1
## 48377  <=50K          0
## 48381  <=50K          0
## 48394  <=50K          1
## 48403  <=50K          0
## 48405   >50K          0
## 48406  <=50K          0
## 48412   >50K          1
## 48419  <=50K          0
## 48421   >50K          1
## 48422  <=50K          0
## 48423  <=50K          0
## 48432  <=50K          1
## 48442  <=50K          0
## 48453  <=50K          0
## 48458  <=50K          1
## 48460  <=50K          0
## 48464  <=50K          1
## 48467   >50K          1
## 48479  <=50K          0
## 48485   >50K          1
## 48489  <=50K          0
## 48491  <=50K          0
## 48496   >50K          0
## 48513  <=50K          1
## 48516   >50K          1
## 48518   >50K          1
## 48520   >50K          1
## 48523  <=50K          0
## 48532   >50K          1
## 48536   >50K          1
## 48540   >50K          1
## 48556  <=50K          1
## 48567  <=50K          0
## 48569   >50K          1
## 48578  <=50K          0
## 48585  <=50K          0
## 48590   >50K          1
## 48601  <=50K          0
## 48603  <=50K          1
## 48618  <=50K          0
## 48621  <=50K          1
## 48624  <=50K          1
## 48627  <=50K          0
## 48630  <=50K          1
## 48633  <=50K          1
## 48634  <=50K          1
## 48642  <=50K          1
## 48650  <=50K          0
## 48659  <=50K          1
## 48672  <=50K          1
## 48678  <=50K          0
## 48681   >50K          1
## 48709  <=50K          0
## 48723   >50K          1
## 48726  <=50K          1
## 48734  <=50K          1
## 48743  <=50K          0
## 48750  <=50K          0
## 48756   >50K          1
## 48758  <=50K          1
## 48762   >50K          1
## 48767  <=50K          1
## 48771  <=50K          1
## 48774  <=50K          0
## 48777  <=50K          0
## 48785  <=50K          1
## 48787  <=50K          0
## 48796  <=50K          1
## 48811  <=50K          0
## 48826  <=50K          0
## 48838  <=50K          1
## 48840  <=50K          0
## 48841  <=50K          0

0.8 Building The KNN Method

glimpse(adult_clean)
## Rows: 46,033
## Columns: 15
## $ age             <int> 25, 38, 28, 44, 34, 63, 24, 55, 65, 36, 26, 48, 43, 20…
## $ workclass       <fct> Private, Private, SL-gov, Private, Private, Self-emplo…
## $ fnlwgt          <int> 226802, 89814, 336951, 160323, 198693, 104626, 369667,…
## $ education       <fct> 11th, HS-grad, Assoc-acdm, Some-college, 10th, Prof-sc…
## $ educational.num <int> 7, 9, 12, 10, 6, 15, 10, 4, 9, 13, 9, 9, 14, 10, 9, 9,…
## $ marital.status  <fct> Never-married, Married, Married, Married, Never-marrie…
## $ occupation      <fct> Machine-op-inspct, Farming-fishing, Protective-serv, M…
## $ relationship    <fct> Own-child, Husband, Husband, Husband, Not-in-family, H…
## $ race            <fct> Black, White, White, Black, White, White, White, White…
## $ gender          <fct> Male, Male, Male, Male, Male, Male, Female, Male, Male…
## $ capital.gain    <int> 0, 0, 0, 7688, 0, 3103, 0, 0, 6418, 0, 0, 3103, 0, 0, …
## $ capital.loss    <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
## $ hours.per.week  <int> 40, 50, 40, 40, 30, 32, 40, 10, 40, 40, 39, 48, 50, 25…
## $ region          <fct> North America, North America, North America, North Ame…
## $ income          <fct> <=50K, <=50K, >50K, >50K, <=50K, >50K, <=50K, <=50K, >…
RNGkind(sample.kind = "Rounding")
## Warning in RNGkind(sample.kind = "Rounding"): non-uniform 'Rounding' sampler
## used
set.seed(123)

# index sampling
index <- sample(nrow(adult_clean), nrow(adult_clean)*0.8)

# splitting
adult_KNNtrain <- adult_clean[index,]
adult_KNNtest <- adult_clean[-index,]

# recheck class balance
prop.table(table(adult_train$income))
## 
## <=50K  >50K 
##   0.5   0.5
library(dplyr)
# prediktor
adult_train_x <- adult_KNNtrain %>% select_if(is.numeric)

adult_test_x <- adult_KNNtest %>% select_if(is.numeric)

# target
adult_train_y <- adult_KNNtrain[,"income"]

adult_test_y <- adult_KNNtest[,"income"]

# scaling data prediktor
adult_train_xs <- scale(adult_train_x)
# summary(wbcd_train_xs)

adult_test_xs <- scale(adult_test_x,
                      center = attr(adult_train_xs, "scaled:center"),
                      scale = attr(adult_train_xs, "scaled:scale"))

0.8.1 KNN Predict

# find optimum k
sqrt(nrow(adult_train_xs))
## [1] 191.901
library(class) # package untuk fungsi `knn()`

adult_pred <- knn(train = adult_train_xs,
                 test = adult_test_xs,
                 cl = adult_train_y,
                 k = 191)
# cek hasil prediksi
adult_pred
##    [1] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##   [13] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
##   [25] >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K
##   [37] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##   [49] <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
##   [61] <=50K >50K  >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##   [73] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##   [85] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
##   [97] <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
##  [109] <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K
##  [121] <=50K <=50K <=50K <=50K >50K  <=50K >50K  >50K  <=50K >50K  >50K  <=50K
##  [133] >50K  >50K  >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [145] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K 
##  [157] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
##  [169] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
##  [181] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K 
##  [193] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
##  [205] <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K 
##  [217] <=50K >50K  <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
##  [229] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [241] <=50K <=50K >50K  <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K
##  [253] >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
##  [265] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [277] >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [289] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
##  [301] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
##  [313] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [325] >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [337] >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [349] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [361] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
##  [373] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
##  [385] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K
##  [397] <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K
##  [409] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [421] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K
##  [433] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
##  [445] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
##  [457] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
##  [469] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [481] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
##  [493] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [505] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [517] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
##  [529] <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [541] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
##  [553] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [565] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K 
##  [577] <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
##  [589] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
##  [601] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [613] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K
##  [625] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
##  [637] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [649] <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [661] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [673] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [685] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
##  [697] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [709] <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K >50K  <=50K <=50K
##  [721] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K >50K 
##  [733] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [745] <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K
##  [757] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
##  [769] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [781] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
##  [793] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K 
##  [805] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
##  [817] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K
##  [829] <=50K >50K  <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
##  [841] >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K
##  [853] >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [865] <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K
##  [877] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K
##  [889] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [901] <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
##  [913] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K 
##  [925] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K 
##  [937] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K
##  [949] <=50K <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K >50K  >50K  <=50K
##  [961] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [973] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
##  [985] <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
##  [997] <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K
## [1009] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1021] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1033] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1045] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K
## [1057] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [1069] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [1081] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [1093] <=50K >50K  <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K
## [1105] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1117] >50K  <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K
## [1129] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1141] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1153] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [1165] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1177] >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K 
## [1189] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [1201] <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  >50K 
## [1213] <=50K >50K  >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1225] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [1237] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1249] >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K 
## [1261] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [1273] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [1285] >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1297] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [1309] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1321] <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [1333] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [1345] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [1357] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [1369] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [1381] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K
## [1393] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1405] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1417] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1429] >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1441] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K
## [1453] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K >50K  <=50K <=50K
## [1465] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1477] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1489] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [1501] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1513] <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [1525] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K
## [1537] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1549] <=50K <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [1561] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1573] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [1585] <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [1597] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1609] <=50K >50K  <=50K <=50K <=50K <=50K >50K  >50K  >50K  <=50K <=50K <=50K
## [1621] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1633] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [1645] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [1657] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1669] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1681] <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K >50K  <=50K
## [1693] >50K  <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [1705] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1717] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K 
## [1729] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K
## [1741] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1753] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1765] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1777] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [1789] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1801] <=50K <=50K <=50K >50K  >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [1813] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1825] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [1837] <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [1849] <=50K >50K  <=50K <=50K <=50K >50K  <=50K >50K  <=50K >50K  <=50K <=50K
## [1861] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1873] <=50K >50K  >50K  >50K  >50K  <=50K <=50K >50K  <=50K <=50K >50K  <=50K
## [1885] <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K 
## [1897] <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K >50K  <=50K <=50K <=50K
## [1909] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [1921] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [1933] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [1945] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [1957] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1969] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [1981] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [1993] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K >50K  >50K 
## [2005] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2017] >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [2029] >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [2041] >50K  <=50K >50K  <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [2053] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K
## [2065] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2077] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K
## [2089] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2101] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2113] >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K
## [2125] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [2137] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [2149] <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [2161] <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [2173] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [2185] <=50K <=50K >50K  >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [2197] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2209] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [2221] >50K  <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [2233] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  >50K  <=50K
## [2245] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [2257] >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [2269] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2281] <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K
## [2293] <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K
## [2305] >50K  <=50K <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K >50K  <=50K
## [2317] <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [2329] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [2341] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [2353] <=50K <=50K <=50K >50K  <=50K >50K  >50K  <=50K <=50K <=50K <=50K >50K 
## [2365] <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K
## [2377] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [2389] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2401] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [2413] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2425] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [2437] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K
## [2449] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [2461] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2473] <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [2485] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  >50K  >50K  <=50K
## [2497] <=50K >50K  <=50K >50K  >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [2509] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [2521] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K >50K 
## [2533] <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K
## [2545] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2557] <=50K >50K  >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [2569] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [2581] <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [2593] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [2605] <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K >50K  <=50K <=50K
## [2617] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
## [2629] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2641] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2653] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2665] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2677] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K 
## [2689] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [2701] <=50K <=50K >50K  >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [2713] <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [2725] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [2737] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K >50K  <=50K <=50K
## [2749] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [2761] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2773] <=50K <=50K >50K  <=50K >50K  >50K  <=50K >50K  <=50K <=50K <=50K <=50K
## [2785] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K
## [2797] <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K >50K  >50K  <=50K
## [2809] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2821] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2833] <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K
## [2845] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2857] <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K
## [2869] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2881] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [2893] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [2905] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2917] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [2929] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2941] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [2953] <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [2965] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [2977] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K
## [2989] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [3001] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [3013] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K >50K 
## [3025] <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [3037] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3049] <=50K <=50K <=50K <=50K <=50K >50K  >50K  >50K  <=50K <=50K <=50K >50K 
## [3061] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [3073] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3085] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [3097] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3109] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3121] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K
## [3133] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3145] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [3157] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [3169] >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K
## [3181] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [3193] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3205] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3217] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K
## [3229] <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [3241] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [3253] <=50K >50K  >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [3265] >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [3277] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3289] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [3301] <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K >50K  <=50K <=50K <=50K
## [3313] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [3325] >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3337] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [3349] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [3361] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3373] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K
## [3385] <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [3397] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K >50K  <=50K
## [3409] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3421] >50K  <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K >50K  <=50K
## [3433] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3445] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3457] >50K  >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K 
## [3469] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3481] <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K
## [3493] <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K >50K  >50K 
## [3505] <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K >50K  <=50K <=50K >50K 
## [3517] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K
## [3529] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3541] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [3553] <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3565] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [3577] >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K
## [3589] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [3601] <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K
## [3613] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [3625] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [3637] >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K 
## [3649] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3661] <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [3673] <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3685] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [3697] >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3709] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [3721] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3733] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3745] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [3757] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [3769] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K >50K 
## [3781] <=50K >50K  <=50K <=50K >50K  <=50K >50K  <=50K >50K  <=50K <=50K <=50K
## [3793] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3805] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [3817] <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [3829] >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [3841] <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3853] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3865] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3877] <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3889] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K
## [3901] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3913] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [3925] <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K
## [3937] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3949] <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [3961] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [3973] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [3985] >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [3997] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4009] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [4021] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4033] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
## [4045] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K
## [4057] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4069] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4081] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [4093] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4105] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4117] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4129] >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [4141] <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K
## [4153] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [4165] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [4177] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4189] <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [4201] <=50K <=50K >50K  >50K  <=50K <=50K >50K  <=50K >50K  <=50K >50K  <=50K
## [4213] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [4225] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K
## [4237] <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [4249] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4261] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4273] <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [4285] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K
## [4297] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K
## [4309] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
## [4321] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [4333] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4345] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4357] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [4369] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [4381] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4393] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [4405] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  >50K  <=50K <=50K
## [4417] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4429] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4441] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K
## [4453] <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [4465] >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [4477] <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [4489] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [4501] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4513] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4525] <=50K >50K  <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4537] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K
## [4549] <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [4561] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4573] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4585] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4597] <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
## [4609] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4621] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
## [4633] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4645] <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [4657] <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K 
## [4669] <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [4681] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4693] <=50K >50K  <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [4705] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4717] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4729] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [4741] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [4753] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [4765] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4777] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [4789] >50K  <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K >50K  >50K  <=50K
## [4801] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4813] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4825] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [4837] <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4849] >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K
## [4861] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4873] <=50K <=50K >50K  <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K <=50K
## [4885] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4897] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K
## [4909] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4921] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4933] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [4945] <=50K >50K  >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [4957] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
## [4969] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [4981] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [4993] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K
## [5005] <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K
## [5017] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K 
## [5029] >50K  <=50K >50K  <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K >50K 
## [5041] >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5053] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K
## [5065] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K
## [5077] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [5089] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K
## [5101] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  >50K  <=50K <=50K
## [5113] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5125] >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5137] <=50K <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [5149] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K
## [5161] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5173] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5185] <=50K >50K  >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [5197] <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5209] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [5221] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [5233] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [5245] >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K
## [5257] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [5269] <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [5281] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5293] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K 
## [5305] >50K  <=50K <=50K >50K  >50K  <=50K >50K  <=50K <=50K <=50K <=50K >50K 
## [5317] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5329] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [5341] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [5353] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K 
## [5365] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5377] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5389] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [5401] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  >50K 
## [5413] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5425] <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5437] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5449] >50K  <=50K <=50K <=50K <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K
## [5461] <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5473] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5485] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5497] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [5509] <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5521] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K
## [5533] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [5545] <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5557] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [5569] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5581] <=50K <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5593] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5605] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5617] >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [5629] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [5641] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [5653] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5665] <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K
## [5677] >50K  >50K  <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [5689] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5701] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K 
## [5713] <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [5725] <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K
## [5737] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [5749] <=50K <=50K >50K  >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [5761] <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [5773] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [5785] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5797] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5809] <=50K >50K  <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [5821] <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K
## [5833] <=50K >50K  <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [5845] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [5857] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K 
## [5869] <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [5881] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5893] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [5905] >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [5917] >50K  <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K >50K  <=50K
## [5929] >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [5941] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [5953] <=50K <=50K >50K  <=50K >50K  <=50K <=50K >50K  <=50K >50K  <=50K <=50K
## [5965] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K
## [5977] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K 
## [5989] >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K 
## [6001] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6013] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [6025] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [6037] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [6049] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K >50K  <=50K
## [6061] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [6073] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K 
## [6085] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [6097] >50K  <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6109] >50K  <=50K >50K  <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K
## [6121] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6133] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6145] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K
## [6157] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6169] <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K
## [6181] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6193] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [6205] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K
## [6217] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [6229] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [6241] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [6253] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6265] >50K  >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [6277] <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6289] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K
## [6301] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K
## [6313] <=50K <=50K <=50K >50K  >50K  <=50K <=50K >50K  <=50K <=50K <=50K >50K 
## [6325] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6337] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K 
## [6349] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K
## [6361] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [6373] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [6385] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6397] <=50K <=50K >50K  <=50K >50K  <=50K <=50K >50K  <=50K <=50K >50K  <=50K
## [6409] >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K 
## [6421] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [6433] <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6445] <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [6457] >50K  <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [6469] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [6481] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [6493] >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [6505] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [6517] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [6529] >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [6541] <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [6553] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6565] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [6577] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6589] <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K >50K  <=50K
## [6601] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [6613] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6625] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [6637] <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K >50K  <=50K <=50K <=50K
## [6649] <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K 
## [6661] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6673] >50K  <=50K <=50K >50K  <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K
## [6685] <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [6697] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6709] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6721] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6733] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6745] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [6757] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [6769] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K
## [6781] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6793] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6805] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [6817] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [6829] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6841] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6853] <=50K <=50K <=50K >50K  <=50K >50K  <=50K >50K  >50K  <=50K >50K  >50K 
## [6865] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6877] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6889] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6901] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6913] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K
## [6925] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
## [6937] <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K
## [6949] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6961] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6973] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6985] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [6997] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7009] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [7021] <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [7033] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K 
## [7045] <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [7057] >50K  <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [7069] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7081] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [7093] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [7105] >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7117] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [7129] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [7141] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [7153] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7165] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7177] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [7189] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7201] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [7213] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [7225] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7237] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [7249] <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [7261] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7273] <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [7285] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7297] <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [7309] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7321] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [7333] <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K >50K  <=50K <=50K >50K 
## [7345] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7357] <=50K >50K  >50K  <=50K <=50K >50K  >50K  <=50K <=50K >50K  <=50K <=50K
## [7369] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K 
## [7381] <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
## [7393] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [7405] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K 
## [7417] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [7429] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7441] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7453] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7465] <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K
## [7477] <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K >50K  <=50K
## [7489] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7501] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7513] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7525] <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K
## [7537] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7549] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [7561] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [7573] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7585] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K
## [7597] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [7609] <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K >50K  <=50K >50K  <=50K
## [7621] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K 
## [7633] <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [7645] >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [7657] <=50K <=50K <=50K <=50K >50K  >50K  >50K  >50K  <=50K <=50K <=50K <=50K
## [7669] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K
## [7681] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [7693] >50K  >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [7705] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [7717] >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K
## [7729] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [7741] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K 
## [7753] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7765] >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  >50K  <=50K
## [7777] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K
## [7789] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K >50K 
## [7801] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7813] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [7825] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7837] <=50K <=50K <=50K <=50K >50K  >50K  <=50K >50K  <=50K >50K  <=50K <=50K
## [7849] >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K 
## [7861] <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [7873] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [7885] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
## [7897] >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7909] <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  >50K  >50K  <=50K <=50K
## [7921] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [7933] <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [7945] >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
## [7957] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [7969] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K
## [7981] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K
## [7993] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [8005] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K
## [8017] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [8029] <=50K <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8041] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8053] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8065] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [8077] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K
## [8089] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [8101] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [8113] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [8125] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [8137] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [8149] <=50K <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [8161] <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K >50K  <=50K <=50K
## [8173] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8185] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8197] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [8209] <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [8221] <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K >50K  <=50K >50K  <=50K
## [8233] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [8245] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K 
## [8257] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [8269] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8281] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [8293] >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8305] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [8317] >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K 
## [8329] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [8341] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8353] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8365] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8377] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K
## [8389] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8401] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  >50K  <=50K <=50K
## [8413] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8425] <=50K <=50K >50K  >50K  <=50K >50K  <=50K >50K  <=50K <=50K <=50K <=50K
## [8437] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [8449] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8461] <=50K >50K  <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [8473] <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K
## [8485] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [8497] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [8509] <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K
## [8521] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8533] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8545] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8557] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [8569] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [8581] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K 
## [8593] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K
## [8605] <=50K <=50K <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K >50K  <=50K
## [8617] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K
## [8629] <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [8641] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8653] <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8665] <=50K <=50K <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [8677] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8689] >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8701] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [8713] >50K  <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [8725] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8737] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8749] <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [8761] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [8773] <=50K >50K  >50K  <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K
## [8785] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8797] >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8809] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [8821] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [8833] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8845] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K
## [8857] <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [8869] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [8881] <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [8893] <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K 
## [8905] >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K
## [8917] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K >50K 
## [8929] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K 
## [8941] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [8953] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8965] >50K  <=50K <=50K >50K  <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K
## [8977] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [8989] >50K  >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K >50K  <=50K <=50K
## [9001] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [9013] <=50K <=50K <=50K <=50K >50K  >50K  >50K  <=50K <=50K <=50K <=50K <=50K
## [9025] <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [9037] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  >50K  <=50K
## [9049] <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K >50K 
## [9061] >50K  <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [9073] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [9085] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [9097] >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [9109] <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K
## [9121] >50K  >50K  <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K >50K  <=50K
## [9133] <=50K <=50K >50K  <=50K <=50K <=50K <=50K >50K  <=50K >50K  <=50K >50K 
## [9145] <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [9157] <=50K <=50K <=50K <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K
## [9169] <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [9181] >50K  <=50K <=50K >50K  >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K
## [9193] <=50K <=50K >50K  <=50K <=50K <=50K <=50K <=50K <=50K <=50K >50K  <=50K
## [9205] <=50K >50K  <=50K
## Levels: <=50K >50K

0.9 Conclusion

Based on the modeling that we already have done, we got a pretty good result from the logistic regression. In the logistic regression we got the accuracy value of 0.704 which is quite high but in this case we won’t use the accuracy value because it used when the target class is balanced and does not attach importance to any of the classes.

On other hand, we will be using the value of Recall/Sensitivity because we want to focus on minimizing false negative cases in order to maximize the tax revenue database as acurately as possible. With a Recall/Sensitivity value of 0,933 we got a good result from the model and thus this Logistic Model can be apply as the main model to predict the income of american adult.

0.10 Acknowledgements

This dataset named “adult” is found in the UCI machine learning repository http://www.cs.toronto.edu/~delve/data/adult/desc.html

The detailed description on the dataset can be found in the original UCI documentation http://www.cs.toronto.edu/~delve/data/adult/adultDetail.html