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MathNet 2022-part-02 — 197 problems (EN–VI) Question 71

Math Olympiad Vault · MathNet 2022-part-02 — 197 problems (EN–VI)

Question 71

Aurélien writes 11 natural numbers on the board. Prove that he can choose some of these integers and place $+$ and $-$ signs between them so that the result is divisible by 2021.