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TUYMAADA 1999 Problem 3

    What maximum number of elements can be selected from the set {1,2,3,…,100}\{1, 2, 3, \dots, 100\} so that no sum of any three selected numbers is equal to a selected number?

    Proposed by A. Golovanov

    Dataset text AI-MO AoPS. Quoted with source.

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