olymmath

ELMO SL 2010 A7

    Find the smallest real number MM with the following property: Given nine nonnegative real numbers with sum 11 , it is possible to arrange them in the cells of a 3×33 \times 3 square so that the product of each row or column is at most MM .

    Evan O' Dorney.

    Dataset text AI-MO AoPS. Quoted with source.

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