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AUSTRIAN-POLISH 1987 Problem 4

    Does the set {1,2,3,...,3000}\{1,2,3,...,3000\} contain a subset AA consisting of 2000 numbers that x∈Ax\in A implies 2x∉A2x \notin A ?!! :?:

    Dataset text AI-MO AoPS. Quoted with source.

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