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From 2n squares, n of them have a common point

Source: Tuymaada 2014, Day 2, Problem 3 Juniors, Problem 2 Seniors

July 12, 2014
geometrygeometric transformationanalytic geometryrectanglecombinatorics unsolvedcombinatoricsTuymaada

Problem Statement

Each of nn black squares and nn white squares can be obtained by a translation from each other. Every two squares of different colours have a common point. Prove that ther is a point belonging at least to nn squares.
(V. Dolnikov)
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