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MathNet 2013 Question 61

Math Olympiad Vault · MathNet 2013

Question 61

Given positive integers $m$ and $n$. Find the smallest integer $N$ ($\ge m$) with the following property: if an $N$-element set of integers contains a complete residue system modulo $m$, then it has a nonempty subset such that the sum of its elements is divisible by $n$.