olymmath

NL-NWO 2008 Problem 3

    Suppose that we have a set SS of 756756 arbitrary integers between 11 and 20082008 ( 11 and 20082008 included). Prove that there are two distinct integers aa and bb in SS such that their sum a+ba + b is divisible by 88 .

    Dataset text AI-MO AoPS. Quoted with source.

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