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DE-BUNDESWETTBEWERB 2009 Problem 8

  • Round 2

How many diagonals can you draw in a convex 20092009 -gon if in the finished drawing, every drawn diagonal inside the 20092009 -gon may cut at most another drawn diagonal?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2009 official paper, page 1.

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