olymmath

CWMO 2011 Problem 2

    Let MM be a subset of {1,2,3...2011}\{1,2,3... 2011\} satisfying the following condition: For any three elements in MM , there exist two of them aa and bb such that a∣ba|b or b∣ab|a . Determine the maximum value of ∣M∣|M| where ∣M∣|M| denotes the number of elements in MM

    Dataset text AI-MO AoPS. Quoted with source.

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