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Coins are situated on an \(m \times m\) board. Each coin situated on the board is said to dominate all the cells of the row \((\rightarrow)\), the column \((\downarrow)\), and the diagonal \((>)\) ).


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Coins are situated on an \(m \times m\) board. Each coin situated on the board is said to dominate all the cells of the row \((\rightarrow)\), the column \((\downarrow)\), and the diagonal \((>)\) ). Note that the coin does not dominate the diagonal ( ). Determine the smallest number of coins which must be placed in order that all the cells of the board be dominated.
in Mathematics by ♦ Platinum (97.7k points) | 117 views

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