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IMO 1988 - Shortlisted problems Question 31

IMO Shortlist · IMO 1988 - Shortlisted problems

Question 31

(USS 2) Around a circular table an even number of persons have a discussion. After a break they sit again around the circular table in a different order. Prove that there are at least two people such that the number of participants sitting between them before and after the break is the same.