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MathNet 2004 — Part 01 Question 195

Math Olympiad Vault · MathNet 2004 — Part 01

Question 195

When the unit squares at the four corners are removed from a three by three square, the resulting shape is called a cross. What is the maximum number of non-overlapping crosses placed within the boundary of a $10 \times 11$ chessboard? (Each cross covers exactly five unit squares on the board.) (posed by Feng Zuming)