APMO 1991 Problem 2
- Paper
- Answer
Suppose there are 997 points given in a plane. If every two points are joined by a line segment with its midpoint coloured in red, show that there are at least 1991 red points in the plane. Can you find a special case with exactly 1991 red points?
Dataset text NuminaMath olympiads. Quoted with source.
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1991
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No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.