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Argentina Cono Sur TST 2012. Problem 1

Source:

January 4, 2015
pigeonhole principleceiling functiongeometryrectangleArgentina

Problem Statement

Sofía colours 4646 cells of a 9×99 \times 9 board red. If Pedro can find a 2×22 \times 2 square from the board that has 33 or more red cells, he wins; otherwise, Sofía wins. Determine the player with the winning strategy.
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