RU-ALLRUSSIAN 1966 Problem 10
Given 100 points on the plane. Prove that you can cover them with a collection of circles whose diameters total less than 100 and the distance between any two of which is more than 1. [The distance between circles radii r and s with centers a distance d apart is the greater of 0 and d - r - s.]
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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