# 2021 IMO Problems/Problem 6

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## Problem

Let be an integer, be a finite set of (not necessarily positive) integers, and be subsets of . Assume that for each the sum of the elements of is . Prove that contains at least elements.

## Video solution

https://www.youtube.com/watch?v=vUftJHRaNx8 [Video contains solutions to all day 2 problems]