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In this case study, your task is to study different search algorithms to solve the N-Queens...

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Programming

In this case study, your task is to study different searchalgorithms to solve the N-Queens Problem which has been presentedin class. We will focus on the incremental formulation in which weadd a queen to any square in the leftmost empty column that is notattacked by any other queen. We will compare the followingalgorithms:

1- Breadth-first Seatch (BFS)

2- Depth-first Search (DFS)

3- Simulated Annealing (SA)

4- Hill Climbing (HC)

Question is:. Using any of the mentioned algorithims, is there asolution for the 4-Queens Problem? Demonsrate your answer.

Answer & Explanation Solved by verified expert
4.3 Ratings (633 Votes)
NQueen Problem using Hill climbing algorithm The N Queen is the problem in which we have to place N chess queens on an NN chessboard so that no two queens may be able to attack each other Scenario 1 N 4 Queens Output by applying Hill Climbing Algorithm 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 Explanation The Position of queens are 1 1 2 2 2 4 3 3 1 4 4 3 In the example mentioned above we have placed all 4 queens in that manner that no two queens are attacking each other Therefore we will able to solve the problem using Hill Climbing Algorithm Scenario N 8 Queens Output by applying Hill Climbing Algorithm 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 The most popular algorithm Backtracking to the most popular algorithm to solve N Queen problem We will use to Hill climbing Algorithm to with AI approach to solve the problem Various terminologies used in the problem are as follows Notion of a State A state in N queen problem is any configuration of the N queens on the N X N board Also to decrease the search space we can add an additional constraint that there can only    See Answer
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