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IMO 2000 - Shortlisted Problems Question 26

IMO Shortlist · IMO 2000 - Shortlisted Problems

Question 26

G7 (IRN). Ten gangsters are standing on a flat surface, and the distances between them are all distinct. At twelve o'clock, when the church bells start chiming, each of them fatally shoots the one among the other nine gangsters who is the nearest. At least how many gangsters will be killed?