Question: Reduced n-queen problem [40 marks] Consider a 33 chessboard and 3 queens. Is it possible to place these three queens on the chessboard so that

Reduced n-queen problem [40 marks]

Consider a 33 chessboard and 3 queens. Is it possible to place these three queens on the chessboard so that no queen will be attacked by one another? [5 marks]

If you answer yes in a), give a solution of 3-queen; otherwise, explain why it is not possible. [15 marks]

Consider a 44 chessboard and 4 queens. Is it possible to place these four queens on the chessboard so that no queen will be attacked by one another? [5 marks]

If you answer yes in c), give a solution of 4-queen; otherwise, explain why it is not possible. [15 marks]

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