olymmath

CGMO 2008 Problem 7

    On a given 2008×20082008 \times 2008 chessboard, each unit square is colored in a different color. Every unit square is filled with one of the letters C, G, M, O. The resulting board is called harmonic if every 2×22 \times 2 subsquare contains all four different letters. How many harmonic boards are there?

    Dataset text AI-MO AoPS. Quoted with source.

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