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NZ-NZMO 2020 Problem 3

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You have an unlimited supply of square tiles with side length 1 and equilateral triangle tiles with side length 1. For which nn can you use these tiles to create a convex nn -sided polygon? The tiles must fit together without gaps and may not overlap.

Dataset text NuminaMath olympiads. Quoted with source.

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3 \leq n \leq 12

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