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AT-OEMO-BEG 2012 Problem 2

    A postman wants to divide nn packages with weights 1,2,3,4,n1, 2, 3, 4, n into three groups of exactly the same weight. Can he do this if (a) n=2011n = 2011 ? (b) n=2012n = 2012 ?

    Dataset text AI-MO AoPS. Quoted with source.

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