Exercise 6.8 (The Queens Problem). Find a binary model for the problem and answer the following questions.

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Exercise 6.8 (The Queens’ Problem). Find a binary model for the problem and answer the following questions.

1 Prepare a PRP that describes all possibilities to place eight queens on a chessboard 8 × 8 in such a way that no queen attacks another one.

2 How many solutions exist for this problem?

3 How many solutions exist for a board 7 × 7 or a board 9 × 9?

4 For which value of the board size no solution can be found?

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