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IR-MO 2009 Problem 7

    A sphere is inscribed in polyhedral PP . The faces of PP are coloured with black and white in a way that no two black faces share an edge. Prove that the sum of surface of black faces is less than or equal to the sum of the surface of the white faces.

    Time allowed for this problem was 1 hour.

    Dataset text AI-MO AoPS. Quoted with source.

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