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MathNet 2026 — Part 03 Question 106

Math Olympiad Vault · MathNet 2026 — Part 03

Question 106

On a checkerboard ($8 \times 8$), we place the 24 tiles in the game so that they fill the 3 rows above. We can change the position of the tiles according to the following criteria: A tile can jump over another to a free hole, either horizontal (left or right), vertical (up or down) or diagonally. Can we manage to place all the tiles in the 3 rows below?