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MathNet 2006 — Part 04 Question 55

Math Olympiad Vault · MathNet 2006 — Part 04

Question 55

A $3 \times 3$ grid is given. We color each square by red or blue so that no red $2 \times 2$ square nor blue $2 \times 2$ square appears. How many such colorings are there?
We consider two colorings different even if they correspond by rotation and/or reversal.