ASU 147 All Soviet Union MO 1971 circles inside a square
Source:
July 3, 2019
combinatorial geometrygeometrycirclesdistanceunit square
Problem Statement
Given an unit square and some circles inside. Radius of each circle is less than , and there is no couple of points belonging to the different circles with the distance between them exactly. Prove that the area, covered by the circles is not greater than .