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.
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 percentagesage: continuousworkclass: 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, Preschooleducation-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, Malecapital-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, <=50KNext, 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.
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$workclass)##
## ? Federal-gov Private Self-employed SL-gov
## 2799 1432 33906 5557 5117
## Unemployed
## 31
table(adult$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:
# 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$marital.status)##
## Married Never-married Not-Married
## 23044 16117 9681
There are a lot of countries here, we can reduce them to their respective regions.
adult$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
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, <…
# 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.
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")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$income))##
## <=50K >50K
## 0.7518737 0.2481263
RNGkind(sample.kind = "Rounding")## Warning in RNGkind(sample.kind = "Rounding"): non-uniform 'Rounding' sampler
## used
set.seed(417)
index <- sample(nrow(adult_clean), nrow(adult_clean)*0.8)
adult_train <- adult_clean[index,]
adult_test <- adult_clean[-index,]nrow(adult_clean) * 0.8## [1] 36826.4
nrow(adult_train)## [1] 36826
nrow(adult_clean) * 0.2## [1] 9206.6
nrow(adult_test)## [1] 9207
# re-check class imbalance
table(adult_train$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.
log.model <- glm(income ~ age + gender + marital.status, family = binomial(),
adult_train)prediction <- predict(log.model, adult_test, type = "response")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:
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.
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
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
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
## 331 <=50K 0
## 333 >50K 1
## 342 <=50K 0
## 344 >50K 1
## 347 >50K 0
## 348 >50K 1
## 350 <=50K 0
## 358 >50K 1
## 359 <=50K 0
## 362 <=50K 0
## 363 <=50K 0
## 365 >50K 1
## 368 >50K 1
## 370 <=50K 0
## 374 <=50K 1
## 375 <=50K 0
## 384 <=50K 0
## 388 <=50K 0
## 394 <=50K 0
## 399 <=50K 1
## 404 <=50K 1
## 405 <=50K 1
## 408 <=50K 0
## 421 <=50K 1
## 426 >50K 0
## 443 <=50K 0
## 447 <=50K 1
## 459 <=50K 0
## 466 <=50K 0
## 467 >50K 1
## 468 <=50K 1
## 474 >50K 0
## 477 <=50K 1
## 483 <=50K 0
## 485 <=50K 0
## 501 >50K 1
## 514 <=50K 0
## 516 <=50K 0
## 527 <=50K 1
## 529 <=50K 0
## 536 <=50K 1
## 539 >50K 1
## 542 >50K 1
## 544 <=50K 0
## 545 >50K 1
## 549 <=50K 1
## 563 >50K 1
## 568 <=50K 0
## 571 <=50K 1
## 575 >50K 1
## 576 >50K 1
## 595 >50K 1
## 597 <=50K 0
## 606 <=50K 0
## 611 <=50K 1
## 612 >50K 1
## 617 <=50K 0
## 621 <=50K 1
## 631 <=50K 0
## 634 <=50K 0
## 636 >50K 1
## 639 >50K 0
## 645 <=50K 0
## 647 <=50K 0
## 649 <=50K 0
## 651 <=50K 1
## 652 <=50K 0
## 656 <=50K 0
## 662 <=50K 1
## 663 <=50K 0
## 669 <=50K 0
## 672 <=50K 0
## 673 <=50K 0
## 682 <=50K 0
## 683 <=50K 1
## 684 <=50K 1
## 693 >50K 1
## 698 <=50K 0
## 705 <=50K 0
## 711 <=50K 1
## 715 >50K 1
## 722 <=50K 1
## 730 <=50K 0
## 740 <=50K 1
## 754 <=50K 0
## 772 <=50K 0
## 777 >50K 1
## 780 <=50K 1
## 787 <=50K 1
## 789 >50K 0
## 792 <=50K 0
## 794 <=50K 1
## 795 <=50K 1
## 801 <=50K 0
## 802 <=50K 0
## 803 >50K 1
## 815 <=50K 1
## 816 >50K 1
## 823 <=50K 0
## 826 <=50K 0
## 827 <=50K 0
## 833 <=50K 1
## 849 <=50K 1
## 852 >50K 1
## 861 <=50K 0
## 866 <=50K 0
## 870 <=50K 0
## 880 >50K 1
## 884 <=50K 0
## 891 >50K 1
## 893 <=50K 1
## 897 <=50K 0
## 900 >50K 1
## 917 <=50K 0
## 932 <=50K 1
## 937 <=50K 0
## 940 <=50K 0
## 951 <=50K 0
## 955 <=50K 1
## 956 <=50K 0
## 958 >50K 1
## 967 <=50K 0
## 970 <=50K 0
## 972 >50K 1
## 973 <=50K 1
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## 48841 <=50K 0
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"))# 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
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.
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