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RU-ALLRUSSIAN 1980 Problem 12

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Some unit squares in an infinite sheet of squared paper are colored red so that every 2×32 \times 3 and 3×23 \times 2 rectangle contains exactly two red squares. How many red squares are there in a 9×119 \times 11 rectangle?

Dataset text NuminaMath olympiads. Quoted with source.

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33

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