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#!/bin/sh
# I could not figure this out on my own, but god bless this guy for doing the
# math:
# https://www.reddit.com/r/adventofcode/comments/3xflz8/day_19_solutions/cy4etju/
# Some people have inputs that could be solved by just going in reverse
# trivially, my input did not work
sed -n '
$ {
s/^/0/
s/\(Ar\|Rn\)//g
s/\(Y\|$\)/-1/g
s/[A-Z][a-z]*/+1/g
p
}' input | bc
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