KZ-MO 2019 Problem 2
The set Φ consists of a finite number of points on the plane. The distance between any two points from Φ is at least . It is known that a regular triangle with side lenght cut out of paper can cover all points of Φ. What is the greatest number of points that Φ can consist of?
Dataset text AI-MO AoPS. Quoted with source.
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