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Square with 51 points => 3 covered by disk

Source: Bundeswettbewerb Mathematik 1973, round 2, problem 1

May 1, 2007
geometryrectanglecircumcirclecombinatorics proposedcombinatorics

Problem Statement

In a square of sidelength 77, 5151 points are given. Show that there's a disk of radius 11 covering at least 33 of these points.