KZ-MO 2003 Problem 3
Two square sheets have areas equal to . Each of the sheets is arbitrarily divided into nonoverlapping polygons, besides, each of the polygons has an unitary area. Afterward, one overlays two sheets, and it is asked to prove that the obtained double layer can be punctured times, so that each of the polygons gets punctured precisely once.
Dataset text AI-MO AoPS. Quoted with source.
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