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OBM 2024 Problem 3

    Seja n≥3n \geq 3 um inteiro positivo. Em um polígono convexo de nn lados, todas as bissetrizes internas de seus nn ângulos internos são traçadas. Determine, em função de nn, o menor número possível de retas distintas determinadas por essas bissetrizes.

    Official text Brazilian Mathematical Olympiad 2024 official paper, page 1. Quoted with source.

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