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Reanalysis of "Corruption as a Self-Fulfilling Prophecy" (AJPS, 2016)
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.gitignore
Figure 4*
barplots*
codebook.pdf
Raw
analysis.R
# Reanalysis of "Corruption as a Self-Fulfilling Prophecy" (AJPS, 2016)
# materials from: https://dataverse.harvard.edu/dataset.xhtml?persistentId=doi:10.7910/DVN/8GEYKS
library("utils") # for `read.delim()`
library("car") # for data recoding
library("margins") # for intuition on logit models
library("AER") # for instrumental variables models
library("stargazer") # for output
ds <- read.delim("prophecyAJPS.txt", header = TRUE)
# treatment
## 1 = corruption
## 2 = placebo/inefficiency
## 3 = control
table(ds[["NumAzar"]])
ds[["treatment"]] <- factor(c("Corruption", "Placebo", "Control")[ds[["NumAzar"]]], levels = c("Control", "Corruption", "Placebo"))
# manipulation check
##
table(ds[["P75"]])
ds[["check"]] <- recode(ds[["P75"]], "1=1;2=1;99=NA;else=0")
# outcome 1
## 1 = both TRUE
## 2 = only one TRUE
## 99 = no response
table(ds[["P76"]])
ds[["indirect"]] <- recode(ds[["P76"]], "1=1; 2=0; 99=NA")
# outcome 2
## 1 = willing to bribe
## 2 = not willing to bribe
## 3 = ??
## 99 = prefer not to answer
table(ds[["P106"]])
ds[["direct"]] <- recode(ds[["P106"]], "1=1; 2=0; 3=NA; 99=NA")
# Results
## treatment group means
roundmean <- function(x) sprintf("%0.2f", mean(x, na.rm = TRUE))
aggregate(cbind(indirect, direct) ~ treatment, data = ds, roundmean)
## OLS estimates
m <- list()
summary(m[[1]] <- lm(I(indirect/(2*p-1)) ~ factor(treatment), data = ds))
summary(m[[2]] <- lm(direct ~ factor(treatment), data = ds))
# output
stargazer(m[[1]], m[[2]], type = "text")
## Instrumental variables estimates of LATEs
i <- list()
summary(i[[1]] <- ivreg(I(indirect/(2*p-1)) ~ factor(check) | factor(treatment), data = ds[ds[["treatment"]] != "Placebo", ]))
summary(i[[2]] <- ivreg(direct ~ factor(check) | factor(treatment), data = ds[ds[["treatment"]] != "Placebo", ]))
# output
stargazer(i[[1]], i[[2]], type = "text")
## Robustness check: Logit estimates (results are the same)
summary(margins(glm(indirect ~ factor(treatment), family = binomial, data = ds)))
summary(margins(glm(direct ~ factor(treatment), family = binomial, data = ds)))
# Warner estimate of crosswise model
## per Tan, Tian, and Lang (2009) DOI: 10.1198/tast.20
## Equation 2.1:
## pi = (p - 1 + (n*/n)) / (2p - 1)
estimator <- function(x, dat, p = 0.2635659) {
dat <- na.omit(dat[dat[["treatment"]] == x, "indirect", drop = TRUE])
y <- (sum(dat)/length(dat))
(p - 1 + y)/((2*p) - 1)
}
pi_est <- sapply(levels(ds[["treatment"]]), estimator, dat = ds)
names(pi_est) <- levels(ds[["treatment"]])
pi_est
# treatment effect
pi_est["Corruption"] - pi_est["Control"]
# placebo effect
pi_est["Placebo"] - pi_est["Control"]
## the treatment effect for the indirect item is just a rescaling of the regression estimate
## this is because `p` cancels out of the numerator
## when the group-specific estimates of `pi` are differences
## such that ATE = ( (n_1*/n_1) - (n_0*/n_0) ) / (2p - 1)
## or equivalently ATE = beta / (2p - 1)
p <- 0.2635659
coef(m[[1]])["factor(treatment)Corruption"]/(2*p-1)
coef(m[[1]])["factor(treatment)Placebo"]/(2*p-1)
## Similarly, to keep everything in the regression modelling framework
## this could just be setup as an outcome transformation
## so that `lm()` will give correct variances
## because it is a linear transformation; t-statistics and p-values are unchanged
coef(summary(lm(indirect ~ factor(treatment), data = ds)))
coef(summary(lm(I(indirect/(2*p-1)) ~ factor(treatment), data = ds)))
## This transformation is a bit confusing because it is undefined at p=0 and
## reverses the sign of the coefficient.
## Some possible clarity can be found in this graphical representation of the
## transformation for various values of the effect across levels of `p`:
invisible(lapply(seq(0, 1, by = 0.1), function(z) {
if (z > 0) {
curve(z/(2*x-1), from = 0, to = 1, lwd = .4/z, add = TRUE)
} else {
curve(z/(2*x-1), xlim = c(0,1), ylim = c(-5, 5), xlab = "p", ylab = "ATE", xaxs = "i", yaxs = "i")
}
return(NULL)
})
)
Raw
output.txt
> rite::sinkstart()
> library("utils")
> library("car")
> library("margins")
> library("AER")
> library("stargazer")
> ds <- read.delim("prophecyAJPS.txt", header = TRUE)
> table(ds[["NumAzar"]])
1 2 3
1393 1387 1420 {
> ds[["treatment"]] <- factor(c("Corruption", "Placebo", "Control")[ds[["NumAzar"]]], } {
> levels = c("Control", "Corruption", "Placebo"))}
> table(ds[["P75"]])
1 2 3 4 5 6 99
800 590 937 128 209 93 21
> ds[["check"]] <- recode(ds[["P75"]], "1=1;2=1;99=NA;else=0")
> table(ds[["P76"]])
1 2 99
2660 1533 7
> ds[["indirect"]] <- recode(ds[["P76"]], "1=1; 2=0; 99=NA")
> table(ds[["P106"]])
1 2 3 99
738 3326 135 1
> ds[["direct"]] <- recode(ds[["P106"]], "1=1; 2=0; 3=NA; 99=NA")
> roundmean <- function(x) sprintf("%0.2f", mean(x, na.rm = TRUE))
> aggregate(cbind(indirect, direct) ~ treatment, data = ds, roundmean)
treatment indirect direct
1 Control 0.64 0.17
2 Corruption 0.61 0.20
3 Placebo 0.66 0.18
> m <- list(){
> summary(m[[1]] <- lm(I(indirect/(2 * p - 1)) ~ factor(treatment), } {
> data = ds))}
Call:
lm(formula = I(indirect/(2 * p - 1)) ~ factor(treatment), data = ds)
Residuals:
Min 1Q Median 3Q Max
-0.8252 -0.7690 -0.7253 1.2896 1.3895
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.34575 0.02702 -49.797 <2e-16 ***
factor(treatment)Corruption 0.05619 0.03842 1.462 0.144
factor(treatment)Placebo -0.04372 0.03845 -1.137 0.256
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 1.018 on 4190 degrees of freedom
(7 observations deleted due to missingness)
Multiple R-squared: 0.001601, Adjusted R-squared: 0.001124
F-statistic: 3.358 on 2 and 4190 DF, p-value: 0.03488
> summary(m[[2]] <- lm(direct ~ factor(treatment), data = ds))
Call:
lm(formula = direct ~ factor(treatment), data = ds)
Residuals:
Min 1Q Median 3Q Max
-0.1978 -0.1978 -0.1759 -0.1712 0.8288
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.17116 0.01040 16.453 <2e-16 ***
factor(treatment)Corruption 0.02663 0.01476 1.804 0.0713 .
factor(treatment)Placebo 0.00474 0.01481 0.320 0.7490
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 0.3855 on 4061 degrees of freedom
(136 observations deleted due to missingness)
Multiple R-squared: 0.0009075, Adjusted R-squared: 0.0004155
F-statistic: 1.844 on 2 and 4061 DF, p-value: 0.1583
> stargazer(m[[1]], m[[2]], type = "text")
========================================================================
Dependent variable:
--------------------------------------------
I(indirect/(2 * p - 1)) direct
(1) (2)
------------------------------------------------------------------------
factor(treatment)Corruption 0.056 0.027*
(0.038) (0.015)
factor(treatment)Placebo -0.044 0.005
(0.038) (0.015)
Constant -1.346*** 0.171***
(0.027) (0.010)
------------------------------------------------------------------------
Observations 4,193 4,064
R2 0.002 0.001
Adjusted R2 0.001 0.0004
Residual Std. Error 1.018 (df = 4190) 0.385 (df = 4061)
F Statistic 3.358** (df = 2; 4190) 1.844 (df = 2; 4061)
========================================================================
Note: *p<0.1; **p<0.05; ***p<0.01
> i <- list(){
> summary(i[[1]] <- ivreg(I(indirect/(2 * p - 1)) ~ factor(check) | } {
> factor(treatment), data = ds[ds[["treatment"]] != "Placebo", } {
> ]))}
Call:
ivreg(formula = I(indirect/(2 * p - 1)) ~ factor(check) | factor(treatment),
data = ds[ds[["treatment"]] != "Placebo", ])
Residuals:
Min 1Q Median 3Q Max
-0.8447 -0.7690 -0.7690 1.2701 1.3458
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.34575 0.02722 -49.446 <2e-16 ***
factor(check)1 0.07567 0.05023 1.506 0.132
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 1.025 on 2792 degrees of freedom
Multiple R-Squared: 0.0002831, Adjusted R-squared: -7.501e-05
Wald test: 2.269 on 1 and 2792 DF, p-value: 0.1321 {
> summary(i[[2]] <- ivreg(direct ~ factor(check) | factor(treatment), } {
> data = ds[ds[["treatment"]] != "Placebo", ]))}
Call:
ivreg(formula = direct ~ factor(check) | factor(treatment), data = ds[ds[["treatment"]] !=
"Placebo", ])
Residuals:
Min 1Q Median 3Q Max
-0.2055 -0.2055 -0.1712 -0.1712 0.8288
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.17116 0.01047 16.353 <2e-16 ***
factor(check)1 0.03438 0.01935 1.777 0.0757 .
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 0.3878 on 2712 degrees of freedom
Multiple R-Squared: -2.001e-05, Adjusted R-squared: -0.0003888
Wald test: 3.157 on 1 and 2712 DF, p-value: 0.07572
> stargazer(i[[1]], i[[2]], type = "text")
=============================================================
Dependent variable:
-----------------------------------------
I(indirect/(2 * p - 1)) direct
(1) (2)
-------------------------------------------------------------
factor(check)1 0.076 0.034*
(0.050) (0.019)
Constant -1.346*** 0.171***
(0.027) (0.010)
-------------------------------------------------------------
Observations 2,794 2,714
R2 0.0003 -0.00002
Adjusted R2 -0.0001 -0.0004
Residual Std. Error 1.025 (df = 2792) 0.388 (df = 2712)
=============================================================
Note: *p<0.1; **p<0.05; ***p<0.01{
> summary(margins(glm(indirect ~ factor(treatment), family = binomial, } {
> data = ds)))}
[[1]]
Factor dy/dx Std.Err. z value Pr(>|z|)
treatmentCorruption treatmentCorruption -0.0266 0.0183 -1.4531 0.1462
treatmentPlacebo treatmentPlacebo 0.0207 0.0180 1.1455 0.2520
2.50% 97.50%
treatmentCorruption -0.0624 0.0093
treatmentPlacebo -0.0147 0.0561
Average Marginal Effects
glm(formula = indirect ~ factor(treatment), family = binomial, data = ds){
> summary(margins(glm(direct ~ factor(treatment), family = binomial, } {
> data = ds)))}
[[1]]
Factor dy/dx Std.Err. z value Pr(>|z|)
treatmentCorruption treatmentCorruption 0.0266 0.0148 1.7935 0.0729
treatmentPlacebo treatmentPlacebo 0.0047 0.0146 0.3257 0.7447
2.50% 97.50%
treatmentCorruption -0.0025 0.0557
treatmentPlacebo -0.0238 0.0333
Average Marginal Effects
glm(formula = direct ~ factor(treatment), family = binomial, data = ds)\n>\ estimator\ <-\ function(x,\ dat,\ p\ =\ 0.2635659)\ \{ {
> dat <- na.omit(dat[dat[["treatment"]] == x, "indirect", drop = TRUE])} {
> y <- (sum(dat)/length(dat))} {
> (p - 1 + y)/((2 * p) - 1)} \n>\ \}
> pi_est <- sapply(levels(ds[["treatment"]]), estimator, dat = ds)
> names(pi_est) <- levels(ds[["treatment"]])
> pi_est
Control Corruption Placebo
0.2116244 0.2678186 0.1678996
> pi_est["Corruption"] - pi_est["Control"]
Corruption
0.05619414
> pi_est["Placebo"] - pi_est["Control"]
Placebo
-0.04372482
> p <- 0.2635659
> coef(m[[1]])["factor(treatment)Corruption"]/(2 * p - 1)
factor(treatment)Corruption
-0.1188368
> coef(m[[1]])["factor(treatment)Placebo"]/(2 * p - 1)
factor(treatment)Placebo
0.09246724
> coef(summary(lm(indirect ~ factor(treatment), data = ds)))
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.63636364 0.01277919 49.796856 0.0000000
factor(treatment)Corruption -0.02657242 0.01816983 -1.462447 0.1436937
factor(treatment)Placebo 0.02067607 0.01818308 1.137105 0.2555594{
> coef(summary(lm(I(indirect/(2 * p - 1)) ~ factor(treatment), } {
> data = ds)))}
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.34575266 0.02702485 -49.796856 0.0000000
factor(treatment)Corruption 0.05619414 0.03842472 1.462447 0.1436937
factor(treatment)Placebo -0.04372482 0.03845275 -1.137105 0.2555594
>\ invisible(lapply(seq(0,\ 1,\ by\ =\ 0.1),\ function(z)\ \{ \n>\ \ \ \ \ if\ (z\ >\ 0)\ \{ {
> curve(z/(2 * x - 1), from = 0, to = 1, lwd = 0.4/z, add = TRUE)} \n>\ \ \ \ \ \}\ else\ \{ {
> curve(z/(2 * x - 1), xlim = c(0, 1), ylim = c(-5, 5), } {
> xlab = "p", ylab = "ATE", xaxs = "i", yaxs = "i")} \n>\ \ \ \ \ \} {
> return(NULL)} \n>\ \}))
Raw
prophecyAJPS.txt
NumAzar P76 P106 P84 P85 P86 P89 P93 P95 P97 P98 P100 P101 P102 P103 P104 P18 P19 P21 P22 P23 P24 P25 P75
1 2 2 1 58 4 1 0 0 0 0 0 1 1 1 1 1 1 4 0 1 0 1 2
1 2 2 1 40 5 0 1 1 0 1 0 0 1 1 1 1 1 99 0 0 0 0 2
1 1 2 2 56 8 1 1 1 0 0 0 0 1 1 1 1 1 4 1 0 0 1 2
1 2 2 2 53 8 1 1 1 1 1 0 1 1 1 1 1 1 4 1 0 0 1 1
3 2 2 1 80 2 1 1 0 0 0 0 0 0 0 1 1 3 99 0 0 0 1
1 1 3 2 61 5 1 1 0 0 0 0 0 0 0 1 1 1 99 0 0 0 0 1
2 1 2 1 65 3 1 1 0 0 0 0 0 1 0 1 3 3 3 0 0 0 0 3
2 2 2 2 49 3 0 1 0 0 0 0 0 1 0 0 1 1 2 0 0 0 0 2
2 1 1 2 53 5 1 1 0 0 0 0 1 1 0 1 3 3 2 0 0 0 0 2
1 1 2 1 50 7 1 1 0 0 1 0 1 1 1 1 1 1 3 1 1 0 1 5
2 1 2 1 62 3 1 1 0 0 0 0 1 1 0 1 3 3 3 0 0 0 1 1
2 1 2 2 46 3 0 1 0 0 0 0 0 0 0 1 1 1 2 0 0 0 0 2
1 1 2 2 24 4 0 1 0 0 0 1 0 0 0 1 1 1 3 0 1 0 1 1
1 1 2 1 50 8 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 0 1
2 1 2 2 63 9 0 1 1 1 0 0 0 1 1 1 1 1 3 0 0 0 0 5
1 2 2 1 74 4 1 1 0 0 0 0 0 0 0 1 3 3 3 0 0 0 0 5
2 1 2 2 60 4 1 1 0 0 0 0 1 0 0 1 1 1 3 0 0 0 0 5
1 2 2 2 45 3 0 1 0 0 0 0 0 0 0 0 1 1 4 0 0 0 1 1
2 1 2 1 62 3 1 1 0 0 1 1 1 1 0 1 1 1 4 0 0 0 0 4
2 1 1 1 32 5 1 1 1 0 1 0 1 1 1 1 1 1 5 1 1 0 1 2
1 1 2 2 52 3 0 1 0 0 0 0 1 1 1 1 1 1 4 0 0 0 1 1
2 1 2 2 60 3 0 1 0 0 0 0 1 1 1 1 1 3 5 1 1 0 1 3
1 1 2 1 46 9 0 1 0 0 0 0 1 1 1 0 2 3 4 0 0 0 0 2
3 1 2 1 65 3 1 1 0 0 0 0 1 0 0 1 1 1 99 0 0 0 0
2 1 2 2 36 8 0 1 1 0 0 0 0 1 1 0 1 1 4 0 0 0 0 3
3 1 1 1 19 8 0 1 1 0 0 0 0 1 1 1 2 1 3 0 0 0 0
2 1 2 1 35 5 0 1 0 0 0 1 1 1 1 1 1 1 4 0 0 0 1 3
3 1 2 2 32 5 0 1 0 0 1 0 1 1 1 1 1 1 3 0 1 0 0
2 2 2 2 48 3 1 1 0 0 0 0 0 1 0 0 1 1 3 1 0 0 0 3
3 1 2 2 21 5 0 1 1 0 1 0 1 1 1 0 1 1 3 1 1 0 0
1 1 2 2 35 4 1 1 0 0 0 0 0 1 0 0 1 1 3 0 0 0 0 1
1 1 2 1 52 9 1 1 1 1 1 0 1 1 1 1 1 1 4 0 1 1 0 3
3 1 2 2 75 3 1 1 0 0 0 0 0 0 0 1 1 1 4 0 0 0 0
2 1 2 1 35 8 1 1 0 1 1 0 1 0 1 1 3 1 4 0 0 0 1 3
2 2 3 1 28 4 1 1 0 0 0 0 0 1 1 0 3 1 3 0 1 0 1 3
1 1 1 1 34 5 1 1 1 0 1 0 1 1 1 1 1 1 3 1 1 0 1 1
3 2 2 2 30 9 0 1 0 0 1 0 1 1 1 0 1 1 3 1 1 1 0
2 2 2 2 61 3 0 1 1 0 1 1 1 1 1 1 3 1 3 0 0 0 1 3
2 1 2 1 47 3 1 1 1 0 1 0 0 0 1 1 1 3 3 0 0 1 1 1
2 1 2 2 35 5 0 1 0 0 1 0 0 1 0 1 3 1 3 0 1 0 1 3
1 1 2 2 48 9 0 1 1 0 1 0 1 1 1 1 1 1 3 0 0 0 0 1
1 1 2 2 37 5 1 1 0 0 0 0 0 1 0 1 1 1 3 1 1 0 1 3
3 1 2 1 87 4 0 1 0 0 1 0 0 0 0 1 1 3 3 0 0 0 0
3 1 2 2 26 4 0 1 0 1 0 0 0 0 0 0 1 3 3 0 0 0 0
3 2 2 2 48 2 0 1 0 0 0 0 0 0 0 1 1 1 5 1 1 1 0
1 2 2 1 18 4 1 1 0 1 0 0 1 1 0 0 1 1 4 1 1 0 1 1
3 2 2 2 26 8 0 1 0 0 1 0 1 1 1 1 2 3 5 1 1 0 1
2 1 2 2 59 5 1 1 0 0 0 0 1 1 1 1 1 1 4 1 1 0 1 3
2 1 2 2 60 3 0 1 0 0 0 0 1 1 0 1 1 1 4 1 0 0 0 4
1 1 2 1 39 4 1 1 0 0 0 0 1 1 1 0 1 1 3 0 0 0 0 1
3 1 2 2 29 4 0 1 0 0 1 0 1 1 1 1 1 1 3 0 1 0 1
2 99 2 1 86 5 0 0 0 0 0 0 0 0 0 1 1 1 3 0 0 0 1 3
2 2 1 2 32 4 0 1 1 0 1 0 1 1 1 1 1 1 3 1 0 0 1 3
3 2 2 1 33 4 0 1 1 0 1 0 0 1 0 1 2 1 3 0 1 0 1
2 2 2 2 48 5 1 1 0 0 0 0 1 1 0 1 1 1 4 1 1 0 0 3
3 1 2 1 49 4 0 1 0 0 0 0 1 1 0 0 1 1 4 0 0 0 1
3 2 2 2 28 5 0 1 1 0 0 0 1 1 1 1 1 1 4 1 0 0 0
3 1 2 1 46 3 1 1 0 0 1 0 1 1 1 1 1 1 4 0 0 0 0
3 1 2 2 56 3 1 0 0 0 0 0 0 0 0 1 1 1 4 0 0 0 0
3 1 2 1 20 5 0 1 0 0 0 0 0 1 1 1 3 3 3 0 1 0 0
3 1 2 2 56 9 1 1 1 0 0 1 0 1 1 1 3 1 4 0 0 0 0
3 2 2 1 35 3 1 1 1 1 0 0 1 1 0 0 3 1 1 0 0 0 0
1 1 2 2 53 3 1 1 0 0 1 0 0 1 0 1 1 1 4 0 0 0 0 2
1 1 1 1 38 2 0 1 1 0 0 0 0 0 1 1 1 1 5 0 0 0 0 1
3 2 2 1 46 4 1 1 1 1 1 0 1 1 1 0 3 1 5 1 1 0 1
3 2 2 1 83 2 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0
2 1 1 1 53 4 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 3
1 1 1 1 29 4 0 1 0 0 0 0 0 0 0 0 2 1 3 0 1 0 1 1
1 1 2 2 31 4 1 1 1 1 1 1 1 1 1 1 1 1 5 99 0 0 1 5
3 2 1 1 18 4 0 1 1 1 1 0 0 1 1 1 1 1 3 0 0 0 1
2 2 1 1 61 3 1 1 0 0 0 1 1 1 0 1 2 3 4 1 0 0 1 3
1 2 2 1 60 4 1 1 0 0 0 0 1 1 0 1 1 1 3 0 0 0 0 2
2 2 2 1 27 4 0 1 1 0 1 0 1 1 1 1 1 1 4 0 0 0 0 2
3 1 2 1 40 2 1 1 0 0 0 0 1 0 0 0 3 1 4 0 0 0 0
3 1 2 1 76 9 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0
1 1 2 1 52 4 1 1 0 0 0 0 1 1 0 1 1 1 3 0 0 0 0 2
3 1 2 1 56 4 1 1 1 0 0 0 0 0 1 1 1 1 4 0 1 0 1
1 1 2 2 62 7 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 2
1 2 2 1 19 8 0 1 1 1 1 0 0 1 0 1 1 1 3 0 1 0 1 1
2 1 2 2 47 9 1 1 1 1 0 0 0 1 1 1 1 1 3 0 1 0 1 3
3 2 2 2 28 3 0 1 0 0 0 0 0 0 0 0 1 1 4 0 1 0 1
2 1 2 1 45 4 1 1 0 0 0 1 1 0 0 1 3 3 1 0 1 0 1 3
1 1 2 2 34 5 0 1 1 1 1 1 1 1 1 1 1 1 4 1 1 0 0 2
3 1 2 2 52 4 1 1 1 1 1 0 1 1 1 1 1 1 2 0 0 0 0
1 2 2 2 45 4 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 99
3 2 1 1 19 4 0 1 1 1 0 0 1 1 1 1 3 1 3 0 0 0 0
3 2 2 2 21 4 0 1 0 1 0 0 1 1 0 1 3 1 3 0 0 0 0
1 1 2 2 51 6 1 1 0 1 0 0 0 1 0 1 1 1 2 0 0 0 0 1
2 2 2 2 58 8 0 1 0 0 1 0 0 1 0 1 1 1 3 0 0 0 0 3
3 1 2 2 40 3 0 1 1 0 0 0 0 1 0 1 3 3 3 0 0 0 1
1 1 2 1 33 8 0 1 1 1 1 0 1 1 1 1 1 1 2 1 1 0 1 1
1 1 2 2 47 4 0 1 1 0 0 0 0 0 0 0 1 1 4 0 0 0 0 1
2 1 2 2 33 5 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 3
3 2 2 1 67 3 1 1 0 0 0 0 0 1 0 1 3 1 3 0 1 0 0
3 1 2 1 56 3 1 1 0 0 0 0 0 1 0 1 1 1 4 0 0 0 0
2 2 2 1 41 5 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 3
2 1 2 1 35 5 0 1 1 1 0 0 1 1 1 1 1 3 3 0 1 0 1 3
2 1 2 2 40 9 0 1 1 0 0 0 0 0 1 1 1 1 4 1 1 0 0 4
3 1 2 2 28 3 0 1 0 0 0 0 0 0 0 1 1 1 4 0 0 0 0
3 2 1 2 25 5 0 1 0 1 1 0 1 1 1 1 1 1 4 1 0 0 1
2 1 2 2 33 3 0 1 0 0 0 1 0 1 0 1 1 1 5 0 0 0 0 5
2 1 2 2 59 5 0 0 0 0 0 0 0 1 0 1 1 1 4 1 0 0 0 2
2 2 1 1 23 4 1 1 0 0 0 0 0 1 0 1 1 1 4 1 0 0 0 2
2 1 2 1 69 3 1 1 0 0 0 0 0 0 0 1 1 1 4 0 1 0 1 1
3 1 2 2 48 5 0 1 1 0 0 0 1 1 1 1 1 1 4 0 1 0 0
3 2 2 2 52 3 1 1 0 0 0 0 0 1 0 1 1 1 5 0 0 0 0
1 1 2 1 73 4 1 1 1 0 0 0 0 1 1 1 1 1 4 0 0 0 0 3
1 1 2 2 75 3 0 1 0 0 0 0 0 0 0 1 1 1 4 0 0 0 0 2
1 1 2 1 52 2 1 0 0 0 0 0 0 1 0 1 1 1 4 0 0 0 1 3
2 1 2 2 35 4 0 1 0 0 0 0 1 0 0 0 3 1 1 0 0 0 0 3
2 2 2 1 88 5 1 1 1 0 1 0 1 0 0 1 1 3 3 1 1 0 0 3
1 1 2 2 81 5 0 1 0 0 0 0 0 1 0 1 1 1 3 0 1 0 0 2
3 1 2 1 38 5 1 1 1 0 99 0 1 1 1 1 3 1 5 0 0 0 0
1 1 2 1 56 5 1 1 1 0 1 1 1 1 1 1 1 3 4 1 1 0 1 1
1 2 2 1 46 4 1 1 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 1
2 1 2 1 29 5 1 1 0 0 1 0 1 1 1 0 1 1 3 0 1 0 0 3
3 1 2 1 48 7 1 1 1 0 0 0 1 1 0 1 1 3 4 0 1 0 0
2 1 2 2 35 3 1 1 0 0 0 0 0 1 1 0 1 1 3 0 0 0 0 3
2 1 2 1 43 5 1 1 1 0 1 0 1 1 1 1 1 1 4 1 0 0 0 3
3 1 2 1 23 4 1 1 1 0 0 0 1 1 1 1 2 2 4 1 0 0 1
2 1 1 2 45 4 0 1 0 0 0 0 1 1 1 1 3 3 2 1 1 0 1 5
3 1 2 2 86 2 0 0 0 0 0 0 0 0 0 1 1 3 99 99 0 0 0
2 1 2 1 62 4 0 1 0 0 0 0 0 0 0 1 3 3 3 0 0 0 0 3
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