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ASU 295 All Soviet Union MO 1980 red squares in infinite sheet of paper

Source:

July 19, 2019
Squarescombinatorial geometryrectanglepapercombinatoricsColoring

Problem Statement

Some squares of the infinite sheet of cross-lined paper are red. Each 2×32\times 3 rectangle (of 66 squares) contains exactly two red squares. How many red squares can be in the 9×119\times 11 rectangle of 9999 squares?
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