Question 1

$$l, m, n$$ are positive integers such that $$m$$ divides $$l+1$$, $$n$$ divides $$m+1$$ and $$l$$ divides $$n+1$$. Find all possible triples $$(l, m, n)$$.


Correct Answer: (1 1 1) and cyclic permutations of (1 2 3)

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