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MathNet 2025-part-02 — 186 problems (EN–VI) Question 117

Math Olympiad Vault · MathNet 2025-part-02 — 186 problems (EN–VI)

Question 117

Four unit squares form a $2 \times 2$ grid. Each of the 12 unit line segments forming the sides of the squares is colored either red or blue in such a way that each unit square has 2 red sides and 2 blue sides. One example is shown below (red is solid, blue is dashed). Find the number of such colorings.
Question illustration