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MathNet 2002 — Part 01 Question 28

Math Olympiad Vault · MathNet 2002 — Part 01

Question 28

Decide if it is possible to place $99$ squares of $3 \times 3$ on a board of $48 \times 48$ so that each square covers exactly $9$ squares on the board and there is no room on the board to place another square of $3 \times 3$ that covers exactly $9$ squares on the board and does not overlap with any of the $99$ already placed.