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PAMO 2024 Problem 4

  • Day 2

Consider mm segments on the real line. Each segment has its two endpoints in the set of integers {1,2,…,2024}\{1, 2, \ldots, 2024\} , and no two segments have the same length. No segment is entirely contained in another segment, but two segments may partially overlap each other.

What is the maximum value of mm ?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Pan-African Mathematics Olympiad 2024 official paper, page 1.

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