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Equal signs needed easy

Source: Kyiv City MO 2023 Round 1, Problem 7.2

December 16, 2023
algebra

Problem Statement

You are given n≥3n \geq 3 distinct real numbers. Prove that one can choose either 33 numbers with positive sum, or 22 numbers with negative sum.
Proposed by Mykhailo Shtandenko
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