CMO 1987 Problem 4
- Paper
On a large, flat field people are positioned so that for each person the distances to all the other people are different. Each person holds a water pistol and at a given signal fires and hits the person who is closest. When is odd show that there is at least one person left dry. Is this always true when is even?
Dataset text AI-MO AoPS. Quoted with source.
Solutions
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