Consider the problem of placing k knights on an n×n chessboard such that no twoknights are attacking each other, where k is given and k ≤ n^2a. Choose a CSP formulation. In your formulation, what are the variables?b. What are the possible values of each variable?c. What sets of variables are constrained, and how?d. Now consider the problem of putting as many knights as possible on the board withoutany attacks. Explain how to solve this with local search by defining appropriateACTIONS and RESULT functions and a sensible objective function

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Consider the problem of placing k knights on an n×n chessboard such that no two
knights are attacking each other, where k is given and k ≤ n^2
a. Choose a CSP formulation. In your formulation, what are the variables?
b. What are the possible values of each variable?
c. What sets of variables are constrained, and how?
d. Now consider the problem of putting as many knights as possible on the board without
any attacks. Explain how to solve this with local search by defining appropriate
ACTIONS and RESULT functions and a sensible objective function

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