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MathNet 2015-part-07 — 185 problems (EN–VI) Question 103

Math Olympiad Vault · MathNet 2015-part-07 — 185 problems (EN–VI)

Question 103

Consider a $4 \times 4$ grid of squares, each of which are originally colored red. Every minute, Piet can jump on one of the squares, changing the color of it and any adjacent squares (two squares are adjacent if they share a side) to blue. What is the minimum number of minutes it will take Piet to change the entire grid to blue?