olymmath

CMO 2007 Problem 1

  • Paper

What is the maximum number of non-overlapping 2×12\times 1 dominoes that can be placed on a 8×98\times 9 checkerboard if six of them are placed as shown? Each domino must be placed horizontally or vertically so as to cover two adjacent squares of the board.

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cmo_1.JPG

Dataset text AI-MO AoPS. Quoted with source.

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