Problem #PRU-102796

Problems Methods Pigeonhole principle (finite number of poits, lines etc.) Integer lattices Integer lattices (other) Pigeonhole principle Discrete Mathematics Combinatorics

Problem

Inside a square with side 1 there are several circles, the sum of the radii of which is 0.51. Prove that there is a line that is parallel to one side of the square and that intersects at least 2 circles.