# [R-sig-ME] psychometric function fitting with lmer?

Mike Lawrence Mike.Lawrence at dal.ca
Fri Oct 29 18:23:33 CEST 2010

```Hi folks,

In some areas of psychology, we encounter binomial response data that,
when aggregated to proportions and plotted against a continuous
predictor variable, forms a sigmoid-like function. It is typical to
use OLS to fit a probit function to this data, yielding measures of
bias (mean of the Gaussian) and variability (SD of the Gaussian). This
fitting is typically done within each individual and condition of
interest separately, then the resulting parameters are submitted to 2
ANOVAs: one for bias, one for variability. I wonder if this analysis
might be achieved more efficiently using a single mixed effects model,
but I'm having trouble figuring out how to approach coding this. Below
is an example of data similar to that collected in this sort of
research, where individuals fall into two groups (variable "group"),
and are tested under two conditions (variable "cue") across a set of
values from a continuous variable (variable "soa"), with each cue*soa
combination tested repeatedly within each individual. A model like

fit = lmer(
formula = response ~ (1|id) + group*cue*soa
, family = binomial( link='probit' )
, data = a
)

employs the probit link, but of course yields estimates for the slope
and intercept of a linear model on the probit scale, and I'm not sure
how (if it's even possible) to convert the conclusions drawn on this
scale to conclusions about the bias and variability parameters of
interest.

Thoughts?

Mike

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6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L,
6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L, 7L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L,
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L, 9L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L,
11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 11L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L, 12L,
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18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L,
18L, 18L, 18L, 18L, 18L, 18L, 18L, 18L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L, 19L,
19L, 19L, 19L, 19L, 19L, 19L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L, 20L,
20L, 20L, 20L, 20L), .Label = c("1", "2", "3", "4", "5", "6",
"7", "8", "9", "10", "11", "12", "13", "14", "15", "16", "17",
"18", "19", "20"), class = "factor"), group = structure(c(2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
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1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L), .Label =
c("Control",
"Neglect"), class = "factor"), cue = structure(c(1L, 1L, 1L,
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1L, 1L, 1L, 1L, 1L, 1L, 1L, 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,
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1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 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, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 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, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 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, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L), .Label = c("Alert",
"Unalert"), class = "factor"), soa = c(-210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -90L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L,
50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 210L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, -210L,
-210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -170L, -170L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -150L, -150L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -130L, -130L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -110L, -110L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -90L, -90L, -90L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L,
30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 130L,
130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 150L, 150L,
150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 170L, 170L, 170L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L, 190L, 190L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L, 210L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -210L, -210L, -210L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -190L, -190L, -190L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -170L, -170L, -170L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -150L, -150L, -150L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L, -130L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L, -110L,
-110L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L,
-90L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L, -70L,
-50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -50L, -30L,
-30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -30L, -10L, -10L,
-10L, -10L, -10L, -10L, -10L, -10L, -10L, -10L, 10L, 10L, 10L,
10L, 10L, 10L, 10L, 10L, 10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L,
30L, 30L, 30L, 30L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L,
50L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L,
90L, 90L, 90L, 90L, 90L, 90L, 90L, 90L, 110L, 110L, 110L, 110L,
110L, 110L, 110L, 110L, 110L, 110L, 130L, 130L, 130L, 130L, 130L,
130L, 130L, 130L, 130L, 130L, 150L, 150L, 150L, 150L, 150L, 150L,
150L, 150L, 150L, 150L, 170L, 170L, 170L, 170L, 170L, 170L, 170L,
170L, 170L, 170L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L,
190L, 190L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L,
210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L, -210L,
-210L, -210L, -190L, -190L, -190L, -190L, -190L, -190L, -190L,
-190L, -190L, -190L, -170L, -170L, -170L, -170L, -170L, -170L,
-170L, -170L, -170L, -170L, -150L, -150L, -150L, -150L, -150L,
-150L, -150L, -150L, -150L, -150L, -130L, -130L, -130L, -130L,
-130L, -130L, -130L, -130L, -130L, -130L, -110L, -110L, -110L,
-110L, -110L, -110L, -110L, -110L, -110L, -110L, -90L, -90L,
-90L, -90L, -90L, -90L, -90L, -90L, -90L, -90L, -70L, -70L, -70L,
-70L, -70L, -70L, -70L, -70L, -70L, -70L, -50L, -50L, -50L, -50L,
-50L, -50L, -50L, -50L, -50L, -50L, -30L, -30L, -30L, -30L, -30L,
-30L, -30L, -30L, -30L, -30L, -10L, -10L, -10L, -10L, -10L, -10L,
-10L, -10L, -10L, -10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L, 10L,
10L, 10L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 30L, 50L,
50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 50L, 70L, 70L, 70L, 70L,
70L, 70L, 70L, 70L, 70L, 70L, 90L, 90L, 90L, 90L, 90L, 90L, 90L,
90L, 90L, 90L, 110L, 110L, 110L, 110L, 110L, 110L, 110L, 110L,
110L, 110L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L, 130L,
130L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L, 150L,
170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 170L, 190L,
190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 190L, 210L, 210L,
210L, 210L, 210L, 210L, 210L, 210L, 210L, 210L), response = c(0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 1L, 0L, 1L, 0L,
0L, 1L, 0L, 0L, 0L, 1L, 1L, 1L, 0L, 1L, 0L, 1L, 1L, 0L, 1L, 0L,
0L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 0L, 1L, 1L, 0L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 1L, 0L,
0L, 1L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 1L, 1L, 0L, 0L, 1L,
0L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 0L, 1L, 1L, 0L, 1L, 1L, 1L,
1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 0L, 1L, 0L, 1L, 1L, 1L, 1L, 0L,
1L, 1L, 1L, 0L, 1L, 1L, 1L, 0L, 0L, 1L, 0L, 1L, 1L, 1L, 1L, 1L,
1L, 0L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 1L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L,
0L, 0L, 0L, 0L, 1L, 1L, 0L, 0L, 0L, 0L, 1L, 1L, 0L, 0L, 1L, 1L,
0L, 1L, 1L, 0L, 1L, 1L, 0L, 1L, 1L, 0L, 1L, 0L, 0L, 1L, 1L, 1L,
0L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 0L, 0L, 1L, 0L, 1L, 0L, 0L,
1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 0L, 1L, 1L, 0L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L,
1L, 1L, 1L, 0L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 1L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L,
1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 1L, 0L, 1L,
1L, 0L, 0L, 1L, 1L, 0L, 1L, 1L, 1L, 0L, 1L, 0L, 0L, 0L, 1L, 0L,
1L, 1L, 1L, 1L, 1L, 0L, 1L, 0L, 1L, 1L, 1L, 0L, 0L, 1L, 0L, 1L,
1L, 0L, 0L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 0L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L,
1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 1L,
0L, 0L, 0L, 0L, 0L, 1L, 0L, 1L, 0L, 0L, 1L, 0L, 1L, 1L, 0L, 0L,
0L, 0L, 1L, 1L, 0L, 0L, 1L, 1L, 0L, 1L, 1L, 1L, 0L, 0L, 1L, 0L,
0L, 0L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 0L, 1L,
1L, 0L, 1L, 1L, 0L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 1L, 0L, 0L, 1L, 0L,
0L, 1L, 0L, 1L, 1L, 0L, 1L, 1L, 0L, 1L, 0L, 1L, 0L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 0L, 0L, 1L, 1L, 1L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 1L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 1L, 0L, 0L, 1L,
1L, 0L, 0L, 0L, 1L, 0L, 1L, 0L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 0L, 1L, 0L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 0L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 0L, 1L, 1L, 1L,
1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L,
1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 0L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 1L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 1L, 0L, 1L, 0L, 0L, 0L,
0L, 1L, 0L, 0L, 0L, 1L, 1L, 1L, 1L, 1L, 0L, 0L, 1L, 1L, 0L, 0L,
0L, 0L, 1L, 0L, 0L, 0L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L,
1L, 0L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L,
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
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```