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+#!/usr/bin/env 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 has 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