olymmath

OMA 2008 Problem 2

    In every cell of a 60×6060 \times 60 board is written a real number, whose absolute value is less or equal than 11 . The sum of all numbers on the board equals 600600 . Prove that there is a 12×1212 \times 12 square in the board such that the absolute value of the sum of all numbers on it is less or equal than 2424 .

    Dataset text AI-MO AoPS. Quoted with source.

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