How does backtracking work in solving puzzles?

How does backtracking work in solving puzzles?

Backtracking is a problem-solving technique that involves exploring all possible solutions and abandoning those that fail to satisfy the conditions of the puzzle. It systematically searches for a solution by trying partial solutions and then extending them.

Can you give me an example of a puzzle where backtracking is used?

Sure! A classic example is the N-Queens problem, where you need to place N queens on an N×N chessboard so that no two queens threaten each other. Backtracking helps by placing a queen in a row and then recursively trying to place queens in subsequent rows.

What are the advantages of using backtracking?

The main advantages of backtracking are its simplicity and efficiency in solving constraint satisfaction problems. It can find solutions quickly by eliminating paths that won't work, thus reducing the search space.

Are there any limitations to backtracking?

Yes, backtracking can be inefficient for very large search spaces, as it may still need to explore many possibilities. Additionally, it may not be the best choice for problems that require optimization.