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RU-SPB 2013 Problem 6

    There are 8585 soldiers with different heigth and age. Every day commander chooses random soldier and send him and also all soldiers that are taller and older than this soldier, or all soldiers that are lower and younger than this soldier to color grass. Prove that after 1010 days we can find two soldiers, that color grass at same days.

    Dataset text AI-MO AoPS. Quoted with source.

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