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MathNet 2021 — Part 10 Question 82

Math Olympiad Vault · MathNet 2021 — Part 10

Question 82

What is the maximum number of pawns that can be placed on a $10 \times 10$ chess board in such a way that a knight placed anywhere on the board attacks at most one pawn? (We allow the knight to be placed in a cell with a pawn.)