3

I am fitting an ordinal logistic regression model with rms package. my data involves a three-level ordered outcome (see reproducible data below), as well as continuous and binary predictors:

fit <- lrm(y ~ grp + sprt + chrs + age + 
                  gndr + mrd + prg + 
                  chld + tm, 
                data = df)
print(fit)

to test for the proportional odds assumption I've plotted partial residuals (see below):

fit1 <- lrm(y>=1 ~ grp + sprt + chrs + age + 
              gndr + prg + tm, 
            x=TRUE, y=TRUE, 
            data = df)
fit2 <- update(fit1, y==2 ~.)
par(mfrow=c(1,1))
plot.lrm.partial(fit1, fit2)

But as I'm new to this I am unsure if the assumption is met for each of the predictors.

Help?

THANKS

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df <- structure(list(L = c(0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 
1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 
1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1), g = c(2L, 2L, 
1L, 1L, 1L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 
2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 1L, 2L, 2L, 1L, 2L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 
1L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 2L, 1L, 2L, 2L, 
2L, 2L, 2L, 2L, 1L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 1L, 1L, 2L, 1L, 
1L, 1L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
1L, 2L, 2L, 2L, 2L, 2L), a = c(38L, 36L, 33L, 34L, 44L, 38L, 
23L, 37L, 37L, 28L, 25L, 33L, 31L, 34L, 32L, 34L, 34L, 29L, 37L, 
32L, 37L, 37L, 32L, 34L, 39L, 33L, 35L, 34L, 32L, 36L, 30L, 39L, 
32L, 33L, 34L, 32L, 40L, 34L, 37L, 37L, 34L, 38L, 36L, 43L, 31L, 
37L, 32L, 31L, 42L, 31L, 31L, 34L, 39L, 32L, 36L, 30L, 47L, 34L, 
32L, 34L, 37L, 35L, 38L, 35L, 34L, 31L, 39L, 34L, 34L, 33L, 44L, 
35L, 33L, 34L, 31L, 37L, 35L, 32L, 34L, 35L, 34L, 32L, 33L, 36L, 
33L, 34L, 40L, 32L, 33L, 33L, 31L, 35L, 28L, 33L, 36L, 35L, 38L, 
34L, 36L, 33L, 32L, 37L, 31L, 32L, 35L, 30L, 33L, 31L, 35L, 38L, 
36L, 36L, 36L, 39L, 32L, 33L, 36L, 30L, 32L, 33L, 34L, 35L, 35L, 
37L, 29L, 36L, 39L, 29L, 34L, 29L, 31L, 33L, 39L, 34L, 36L, 44L, 
34L, 33L, 33L, 31L, 38L, 43L, 38L, 39L, 32L, 32L, 33L, 32L, 33L, 
37L, 32L, 35L, 34L, 29L, 33L, 39L, 35L, 43L, 37L, 32L, 35L, 37L, 
39L, 31L, 37L, 31L, 34L, 35L, 39L, 33L, 34L, 32L, 32L, 32L, 36L, 
37L, 32L, 32L, 33L, 39L, 33L, 36L, 43L, 41L, 30L, 33L, 43L, 32L, 
40L, 48L, 32L, 37L, 32L, 38L, 34L, 38L, 37L, 33L, 32L, 42L, 37L, 
41L, 37L, 31L, 34L, 33L, 36L, 30L, 33L, 34L, 33L, 31L, 34L, 32L, 
39L, 31L, 39L, 33L, 33L, 32L, 39L, 31L, 34L, 33L, 41L, 29L, 41L, 
39L, 31L, 30L, 36L, 32L, 31L, 34L, 37L, 32L, 40L, 37L, 38L, 37L, 
33L, 32L, 34L, 33L, 32L, 32L, 34L, 33L, 33L, 38L, 34L, 38L, 33L, 
35L, 36L, 37L, 42L, 36L, 32L, 36L, 39L, 33L, 36L, 30L, 36L, 35L, 
40L, 37L, 34L, 40L, 36L, 34L, 38L, 35L, 35L, 31L, 34L, 38L, 32L, 
33L, 34L, 37L, 35L, 36L, 36L, 29L, 33L, 31L, 34L, 37L, 38L, 32L, 
30L, 35L, 27L, 33L, 36L, 36L, 34L, 31L, 34L, 31L, 37L, 34L, 34L, 
47L, 30L, 45L, 33L, 30L, 36L, 32L, 34L, 31L, 32L, 32L, 37L, 32L, 
25L, 35L, 40L, 32L, 33L, 38L, 31L, 30L, 43L, 30L, 41L, 32L, 33L, 
35L, 35L, 33L, 35L, 40L, 34L, 34L, 34L, 38L, 37L, 38L, 33L, 32L, 
34L, 34L, 43L, 31L, 31L, 35L, 34L, 31L, 41L, 32L, 34L, 36L, 39L, 
36L, 33L, 31L, 30L, 37L, 37L, 33L, 30L, 36L, 36L, 41L, 43L, 38L, 
44L, 32L, 30L, 35L, 34L, 31L, 43L, 49L, 32L, 40L, 40L, 42L, 46L, 
40L, 30L, 34L, 32L, 23L, 38L, 42L, 41L, 41L, 30L, 34L, 34L, 32L, 
33L, 35L, 36L, 42L, 36L, 30L, 33L, 41L, 31L, 37L, 28L, 34L, 32L, 
37L, 31L, 33L, 39L, 37L, 35L, 37L, 37L, 34L, 32L, 36L, 36L, 39L, 
40L, 41L, 33L, 37L, 40L, 36L, 34L, 38L, 34L, 36L, 45L, 32L, 38L, 
36L, 38L, 40L, 46L, 38L, 34L, 40L, 43L, 38L, 35L, 39L, 29L, 41L, 
37L, 38L, 33L, 40L, 40L, 36L, 40L, 39L, 38L, 31L, 36L, 36L, 32L, 
34L, 39L, 49L, 46L, 33L, 42L, 33L, 58L, 28L, 30L, 35L, 35L, 32L, 
38L, 41L, 30L, 31L, 31L, 31L, 38L, 41L, 33L, 35L, 35L, 36L, 30L, 
31L, 33L, 31L, 33L, 33L, 33L, 32L, 37L, 43L, 43L, 26L, 35L, 30L, 
34L, 38L, 31L, 31L, 30L, 35L, 46L, 33L, 37L, 33L, 47L, 34L, 31L, 
35L, 30L, 34L, 34L, 35L, 37L, 40L, 32L, 29L, 27L, 40L, 36L, 41L, 
38L, 43L, 35L, 30L, 38L, 35L, 38L, 32L, 33L, 33L, 31L, 34L, 33L, 
36L, 38L, 33L, 34L, 34L, 38L, 32L, 40L, 41L, 32L, 38L, 31L, 34L, 
35L, 35L, 31L, 32L, 34L, 38L, 34L, 35L, 33L, 37L, 36L, 33L, 31L, 
31L, 33L, 34L, 41L, 47L, 35L, 35L, 43L, 37L, 35L, 34L, 32L, 41L, 
34L, 29L, 21L, 28L, 32L, 35L, 33L, 39L, 39L, 36L, 22L, 31L, 41L, 
38L, 37L, 39L, 36L, 29L, 34L, 33L, 33L, 31L, 24L, 35L, 40L, 34L, 
35L, 36L, 33L, 41L, 34L, 36L, 38L, 35L, 30L, 43L, 31L, 32L, 38L, 
30L, 39L, 38L, 38L, 35L, 48L, 33L, 39L, 33L, 38L, 34L, 27L, 33L, 
34L, 32L, 33L, 39L, 35L, 43L, 40L, 34L, 39L, 33L, 35L, 42L, 36L, 
37L, 37L, 44L, 36L, 38L, 34L, 32L, 41L, 46L, 39L, 35L, 34L, 36L, 
32L, 37L, 33L, 44L, 42L, 44L, 40L, 34L, 44L, 32L, 38L, 37L, 38L, 
32L, 43L, 36L, 29L, 35L, 36L, 31L, 35L, 37L, 39L, 45L, 45L, 41L, 
28L, 38L, 34L, 34L, 34L, 40L, 40L, 40L, 38L, 33L, 36L, 44L, 43L, 
36L, 38L, 31L, 31L, 36L, 33L, 34L, 25L, 35L, 37L, 42L, 31L, 33L, 
33L, 30L, 37L, 37L, 34L, 46L, 32L, 34L, 40L, 33L, 39L, 42L, 44L, 
42L, 35L, 42L, 35L, 41L, 31L, 27L, 23L, 32L, 42L, 42L, 33L, 40L, 
38L, 29L, 40L, 33L, 33L, 43L, 40L, 41L, 32L, 31L), m = c(1, 1, 
1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 
1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 
0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 
0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 
1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 
1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 
1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 
1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 
1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 
1, 0, 0, 1, 0, 1, 1), p = c(1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 
1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 
0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0), e = c(6L, 
4L, 2L, 1L, 2L, 1L, 1L, 6L, 1L, 1L, 1L, 2L, 1L, 4L, 5L, 4L, 4L, 
3L, 2L, 3L, 3L, 4L, 3L, 2L, 4L, 1L, 3L, 2L, 4L, 3L, 3L, 5L, 2L, 
1L, 3L, 1L, 4L, 4L, 2L, 4L, 3L, 2L, 3L, 1L, 1L, 4L, 4L, 5L, 1L, 
1L, 3L, 4L, 2L, 3L, 4L, 2L, 1L, 2L, 1L, 1L, 3L, 3L, 4L, 4L, 3L, 
1L, 3L, 3L, 4L, 4L, 3L, 4L, 4L, 2L, 4L, 3L, 1L, 2L, 1L, 4L, 4L, 
1L, 3L, 4L, 3L, 3L, 4L, 4L, 1L, 3L, 1L, 2L, 1L, 5L, 3L, 1L, 1L, 
4L, 1L, 2L, 4L, 3L, 1L, 1L, 1L, 3L, 3L, 4L, 4L, 5L, 2L, 2L, 3L, 
1L, 2L, 6L, 1L, 2L, 1L, 3L, 1L, 4L, 3L, 3L, 3L, 2L, 3L, 4L, 4L, 
1L, 4L, 3L, 1L, 5L, 1L, 3L, 4L, 3L, 1L, 3L, 5L, 1L, 2L, 1L, 1L, 
2L, 4L, 4L, 2L, 4L, 3L, 5L, 2L, 3L, 2L, 2L, 2L, 4L, 1L, 2L, 5L, 
4L, 1L, 1L, 2L, 5L, 4L, 4L, 2L, 3L, 4L, 3L, 3L, 1L, 2L, 3L, 2L, 
1L, 4L, 2L, 1L, 1L, 5L, 4L, 1L, 3L, 5L, 4L, 3L, 2L, 3L, 4L, 1L, 
2L, 2L, 1L, 3L, 3L, 5L, 3L, 2L, 3L, 1L, 4L, 4L, 3L, 1L, 1L, 3L, 
3L, 2L, 1L, 3L, 2L, 1L, 1L, 1L, 3L, 4L, 4L, 3L, 4L, 1L, 1L, 3L, 
2L, 1L, 6L, 2L, 1L, 3L, 1L, 5L, 2L, 1L, 1L, 1L, 1L, 3L, 3L, 4L, 
3L, 1L, 2L, 1L, 2L, 3L, 1L, 5L, 2L, 1L, 1L, 2L, 1L, 3L, 4L, 1L, 
4L, 4L, 4L, 1L, 1L, 4L, 6L, 1L, 2L, 4L, 5L, 1L, 5L, 3L, 3L, 3L, 
3L, 5L, 2L, 1L, 6L, 2L, 1L, 2L, 3L, 5L, 5L, 2L, 1L, 3L, 3L, 4L, 
3L, 3L, 1L, 3L, 3L, 4L, 4L, 2L, 2L, 3L, 1L, 4L, 3L, 1L, 3L, 1L, 
6L, 2L, 3L, 1L, 1L, 6L, 2L, 1L, 3L, 5L, 4L, 1L, 4L, 2L, 1L, 1L, 
4L, 4L, 4L, 4L, 3L, 1L, 1L, 3L, 1L, 3L, 4L, 1L, 3L, 4L, 3L, 5L, 
5L, 5L, 1L, 1L, 3L, 2L, 3L, 1L, 2L, 1L, 4L, 2L, 1L, 1L, 2L, 1L, 
2L, 5L, 1L, 4L, 3L, 1L, 3L, 2L, 1L, 4L, 1L, 1L, 2L, 2L, 1L, 4L, 
1L, 1L, 2L, 1L, 1L, 3L, 1L, 2L, 3L, 3L, 1L, 4L, 1L, 1L, 1L, 2L, 
2L, 3L, 1L, 1L, 5L, 3L, 2L, 2L, 6L, 5L, 2L, 2L, 3L, 6L, 1L, 1L, 
3L, 3L, 1L, 3L, 2L, 1L, 1L, 3L, 2L, 6L, 1L, 4L, 6L, 1L, 3L, 1L, 
1L, 3L, 1L, 2L, 1L, 1L, 5L, 1L, 3L, 4L, 1L, 1L, 4L, 3L, 1L, 3L, 
1L, 2L, 1L, 2L, 1L, 4L, 3L, 6L, 4L, 3L, 1L, 4L, 1L, 2L, 1L, 4L, 
3L, 3L, 1L, 1L, 6L, 2L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 5L, 6L, 3L, 
2L, 5L, 1L, 6L, 1L, 2L, 1L, 2L, 4L, 1L, 4L, 4L, 1L, 2L, 1L, 5L, 
1L, 5L, 1L, 2L, 3L, 5L, 1L, 6L, 1L, 2L, 1L, 5L, 2L, 1L, 2L, 6L, 
2L, 1L, 4L, 1L, 6L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 3L, 6L, 1L, 
1L, 4L, 1L, 2L, 2L, 4L, 1L, 1L, 1L, 1L, 1L, 1L, 6L, 4L, 4L, 1L, 
3L, 3L, 4L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 3L, 6L, 1L, 
2L, 3L, 6L, 1L, 1L, 3L, 2L, 1L, 3L, 5L, 4L, 4L, 3L, 3L, 1L, 1L, 
3L, 1L, 4L, 3L, 6L, 2L, 4L, 3L, 3L, 1L, 3L, 6L, 3L, 1L, 5L, 1L, 
1L, 1L, 3L, 4L, 3L, 4L, 2L, 4L, 3L, 2L, 3L, 2L, 1L, 5L, 5L, 6L, 
1L, 1L, 1L, 2L, 5L, 5L, 5L, 1L, 3L, 3L, 3L, 1L, 1L, 5L, 2L, 1L, 
3L, 6L, 3L, 1L, 1L, 2L, 2L, 3L, 1L, 5L, 5L, 3L, 2L, 3L, 3L, 2L, 
4L, 4L, 2L, 3L, 3L, 1L, 2L, 4L, 3L, 3L, 2L, 4L, 3L, 1L, 1L, 1L, 
1L, 1L, 6L, 1L, 1L, 3L, 1L, 1L, 6L, 3L, 2L, 6L, 3L, 3L, 1L, 1L, 
1L, 3L, 5L, 3L, 5L, 1L, 4L, 1L, 1L, 2L, 3L, 1L, 3L, 6L, 1L, 2L, 
1L, 1L, 3L, 2L, 1L, 2L, 3L, 4L, 3L, 2L, 4L, 2L, 2L, 4L, 4L, 5L, 
3L, 1L, 1L, 3L, 6L, 6L, 4L, 5L, 3L, 1L, 3L, 3L, 1L, 1L, 3L, 6L, 
3L, 3L, 4L, 5L, 3L, 3L, 3L, 1L, 6L, 3L, 1L, 3L, 3L, 4L, 2L, 5L, 
2L, 2L, 1L, 3L, 3L, 5L, 1L, 3L, 1L, 6L, 2L, 3L, 1L, 3L, 2L, 1L, 
1L, 1L, 1L, 2L, 3L, 2L, 1L), chr = c(1L, 2L, 3L, 4L, 4L, 1L, 
4L, 5L, 1L, 3L, 1L, 2L, 2L, 2L, 1L, 1L, 3L, 1L, 5L, 2L, 2L, 2L, 
2L, 1L, 4L, 2L, 2L, 4L, 3L, 3L, 3L, 4L, 5L, 1L, 4L, 1L, 1L, 3L, 
3L, 2L, 1L, 1L, 5L, 1L, 2L, 1L, 3L, 4L, 1L, 2L, 2L, 1L, 1L, 2L, 
1L, 1L, 4L, 4L, 3L, 2L, 1L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 5L, 2L, 
1L, 1L, 2L, 5L, 2L, 4L, 5L, 1L, 4L, 4L, 4L, 1L, 1L, 4L, 5L, 2L, 
4L, 1L, 5L, 2L, 1L, 1L, 1L, 2L, 4L, 2L, 4L, 5L, 2L, 2L, 2L, 2L, 
2L, 1L, 2L, 5L, 2L, 4L, 1L, 1L, 5L, 2L, 4L, 1L, 2L, 4L, 1L, 1L, 
1L, 5L, 1L, 2L, 2L, 1L, 4L, 2L, 1L, 1L, 1L, 5L, 1L, 1L, 4L, 2L, 
1L, 2L, 1L, 2L, 4L, 1L, 3L, 1L, 4L, 1L, 4L, 1L, 1L, 2L, 5L, 3L, 
5L, 2L, 1L, 4L, 5L, 1L, 1L, 1L, 1L, 3L, 2L, 2L, 2L, 2L, 2L, 2L, 
1L, 3L, 1L, 5L, 5L, 2L, 5L, 1L, 1L, 3L, 2L, 1L, 2L, 1L, 1L, 3L, 
1L, 2L, 3L, 4L, 4L, 1L, 2L, 2L, 4L, 4L, 1L, 2L, 4L, 3L, 2L, 2L, 
1L, 1L, 5L, 4L, 1L, 5L, 2L, 2L, 4L, 2L, 5L, 4L, 1L, 1L, 4L, 1L, 
2L, 4L, 1L, 5L, 2L, 4L, 5L, 4L, 2L, 5L, 2L, 1L, 1L, 2L, 2L, 4L, 
4L, 2L, 5L, 5L, 2L, 5L, 4L, 2L, 2L, 5L, 3L, 5L, 1L, 3L, 1L, 4L, 
5L, 5L, 2L, 5L, 1L, 1L, 4L, 1L, 4L, 4L, 1L, 4L, 5L, 3L, 1L, 4L, 
3L, 1L, 2L, 2L, 4L, 5L, 2L, 5L, 2L, 2L, 2L, 1L, 3L, 2L, 2L, 4L, 
5L, 4L, 2L, 1L, 3L, 4L, 2L, 5L, 2L, 1L, 1L, 3L, 1L, 2L, 4L, 5L, 
2L, 2L, 2L, 2L, 4L, 2L, 2L, 1L, 2L, 2L, 1L, 2L, 1L, 5L, 5L, 1L, 
2L, 2L, 2L, 4L, 2L, 4L, 1L, 2L, 1L, 5L, 1L, 2L, 1L, 2L, 1L, 5L, 
2L, 1L, 3L, 2L, 2L, 1L, 1L, 4L, 4L, 1L, 1L, 1L, 3L, 2L, 1L, 3L, 
1L, 1L, 2L, 1L, 1L, 2L, 2L, 2L, 4L, 4L, 2L, 2L, 5L, 4L, 2L, 3L, 
4L, 4L, 2L, 5L, 5L, 1L, 1L, 2L, 1L, 4L, 1L, 5L, 5L, 5L, 2L, 2L, 
5L, 3L, 5L, 4L, 3L, 2L, 5L, 4L, 5L, 3L, 2L, 1L, 1L, 5L, 1L, 1L, 
2L, 2L, 2L, 3L, 3L, 2L, 2L, 1L, 4L, 1L, 1L, 3L, 2L, 2L, 1L, 2L, 
1L, 1L, 1L, 5L, 1L, 2L, 5L, 4L, 3L, 4L, 2L, 1L, 3L, 1L, 5L, 5L, 
5L, 5L, 3L, 4L, 1L, 5L, 5L, 4L, 1L, 5L, 1L, 1L, 3L, 2L, 1L, 3L, 
5L, 2L, 2L, 1L, 2L, 4L, 2L, 5L, 4L, 4L, 3L, 1L, 5L, 5L, 4L, 5L, 
4L, 1L, 3L, 4L, 5L, 5L, 4L, 4L, 4L, 1L, 5L, 2L, 1L, 4L, 2L, 1L, 
1L, 1L, 3L, 4L, 4L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 4L, 1L, 5L, 
1L, 1L, 1L, 4L, 2L, 1L, 2L, 3L, 2L, 1L, 1L, 2L, 5L, 1L, 2L, 2L, 
1L, 2L, 2L, 2L, 1L, 4L, 2L, 1L, 5L, 5L, 1L, 2L, 2L, 1L, 1L, 2L, 
4L, 1L, 1L, 4L, 1L, 1L, 2L, 5L, 1L, 1L, 2L, 5L, 1L, 2L, 2L, 1L, 
4L, 2L, 3L, 5L, 2L, 2L, 4L, 3L, 3L, 5L, 5L, 4L, 3L, 2L, 2L, 2L, 
2L, 4L, 4L, 5L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 2L, 4L, 4L, 2L, 1L, 
3L, 1L, 2L, 5L, 4L, 1L, 2L, 1L, 5L, 4L, 3L, 1L, 1L, 2L, 3L, 2L, 
3L, 3L, 2L, 2L, 1L, 2L, 2L, 3L, 2L, 5L, 2L, 5L, 1L, 1L, 5L, 4L, 
2L, 1L, 3L, 1L, 2L, 2L, 5L, 1L, 3L, 1L, 1L, 2L, 1L, 5L, 2L, 1L, 
3L, 2L, 2L, 1L, 2L, 4L, 5L, 3L, 4L, 2L, 5L, 2L, 5L, 2L, 4L, 5L, 
2L, 4L, 1L, 1L, 4L, 2L, 4L, 1L, 2L, 2L, 5L, 2L, 2L, 1L, 1L, 2L, 
2L, 5L, 1L, 1L, 2L, 4L, 4L, 2L, 5L, 1L, 2L, 4L, 4L, 1L, 3L, 1L, 
2L, 4L, 1L, 2L, 4L, 5L, 1L, 2L, 1L, 2L, 4L, 5L, 5L, 5L, 1L, 1L, 
4L, 5L, 1L, 1L, 5L, 4L, 5L, 2L, 2L, 4L, 2L, 4L, 1L, 3L, 4L, 1L, 
4L, 3L, 2L, 5L, 2L, 2L, 2L, 1L, 1L, 4L, 2L, 4L, 1L, 2L, 2L, 2L, 
3L, 5L, 1L, 1L, 2L, 1L, 4L, 2L, 4L, 4L, 3L, 5L, 3L, 5L, 5L, 2L, 
2L, 2L, 1L, 2L, 1L, 5L, 1L, 1L, 3L, 2L, 1L, 5L, 1L, 3L, 5L, 5L, 
4L, 1L), rsk = c(1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 
1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 
1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 
1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 
0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 
0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 
0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 
1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 
1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 
0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 
0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 
0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 
1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 
0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 
1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 
1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 
1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 
0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 
0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 
1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 
1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 
1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 
1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 
0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 
0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 
1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0)), row.names = c(1L, 
2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 
16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 
29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 
42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 
55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 
68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 
81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 
94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 
106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 
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  • Edit your original post to include the graphical output. And note that you'll always find a model, with enough predictors, that will show a violation of assumption for at least one predictor. The question is what to do about it. Changing models may make things worse. – Frank Harrell Feb 16 '20 at 12:53

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