olymmath

OBM 2011 Problem 2

    33 friends are collecting stickers for a 2011-sticker album. A distribution of stickers among the 33 friends is incomplete when there is a sticker that no friend has. Determine the least mm with the following property: every distribution of stickers among the 33 friends such that, for any two friends, there are at least mm stickers both don't have, is incomplete.

    Dataset text AI-MO AoPS. Quoted with source.

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