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one can translate each strip // to itself so that together they cover circle

Source: TOT 546 1997 Spring S A7 - Tournament Of Towns

September 11, 2024
geometrycombinatoricscombinatorial geometry

Problem Statement

Several strips and a circle of radius 11 are drawn on the plane. The sum of the widths of the strips is 100100. Prove that one can translate each strip parallel to itself so that together they cover the circle.
(M Smurov )