# 2013, 2014, 2015, 2016!

Level pending

Let $$p$$ be the largest integer $$n$$ such that $$2013^n$$ divides $$2013!$$. Let $$q$$ be the largest integer $$m$$ such that $$2014^m$$ divides $$2014!$$. Let $$r$$ be the largest integer $$s$$ such that $$2015^s$$ divides $$2015!$$ Find the largest integer $$x$$ such that $$[(p+1)(q-2)(r+3)]^x$$ divides $$2016!$$.

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