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DE-BUNDESWETTBEWERB 2013 Problem 1

  • Round 1

Is it possible to partition the set S={1,2,…,21}S=\{1,2,\ldots,21\} into subsets that in each of these subsets the largest number is equal to the sum of the other numbers?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2013 official paper, page 1.

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