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

60.1K

Verified Solution

Question

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

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member