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MathNet 2025 — Part 02 (100 complete bilingual questions) Question 69

Math Olympiad Vault · MathNet 2025 — Part 02 (100 complete bilingual questions)

Question 69

a. Every side and diagonal of a regular $2025$-gon is coloured either red or blue. Can it happen that the same number of red and blue line segments meet at each vertex?

b. The same question if only the diagonals are coloured.