Question

Write a program ( using any programming language) that implements A* algorithm for solving n-puzzle problem (n<=20). propose and implement four different heuristics for this problem. You are asked to implement A algorithm (using any programming language) for solving n-puzzle problems ( n<=20).

Answer 1

An abstract implementation of the A* algorithm for the n-puzzle problem includes defining a puzzle state, using a priority queue, and implementing heuristics such as Manhattan Distance, Euclidean Distance, Misplaced Tiles, and Linear Conflict. These heuristics help estimate the cost to reach the goal and guide the algorithm efficiently towards the solution.

Step-by-step explanation:

The n-puzzle problem is a classic artificial intelligence problem that challenges one to slide tiles on a board to achieve a final configuration. Here's a pseudocode outline for solving the n-puzzle problem using the A* algorithm along with four proposed heuristics:

Manhattan Distance: The sum of the vertical and horizontal distances between a tile and its desired position.Misplaced Tiles: Count the number of tiles that are not in their desired position.Euclidean Distance: Calculate the straight-line distance between a tile and its desired position.Out of Row and Column: Count the number of tiles that are not in the correct row or column.By using different heuristics, you can compare their performance and efficiency in finding the optimal solution for the n-puzzle problem.The n-puzzle problem is a classic artificial intelligence problem that challenges one to slide tiles on a board to achieve a final configuration. Here's a pseudocode outline for solving the n-puzzle problem using the A* algorithm along with four proposed heuristics: