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MathNet 2006 — Part 03 Question 96

Math Olympiad Vault · MathNet 2006 — Part 03

Question 96

The plane is divided into unit squares. Each field should be colored with one of $n$ colors, so that if four fields can be covered with an L-tetromino, then these fields have four different colors (the L-tetromino can be rotated and mirrored). Determine the smallest value of $n$ for which this is possible.