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DE-BUNDESWETTBEWERB 2002 Problem 1

  • Round 1

Planet Ypsilon has a calendar similar to ours: A year consists of 365365 days, and every month has 2828 , 3030 or 3131 days. Prove that on Planet Ypsilon, a year must have 1212 months.

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2002 official paper, page 1.

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