Question
Download Solution PDFIn what manner is a state-space tree for a backtracking algorithm constructed ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is Depth-first search.
Key Points
- A state-space tree for a backtracking algorithm is constructed using Depth-first search.
- In backtracking, we start from the root of the state-space tree and explore each branch before backtracking.
- The algorithm explores as far down a branch as possible before backtracking to the previous state to explore other branches.
- This approach ensures that all possible solutions are considered and is particularly useful in constraint satisfaction problems.
- Examples of problems that use backtracking include solving puzzles like Sudoku, the N-Queens problem, and generating permutations.
Additional Information
- Depth-first search can be implemented using recursion or an explicit stack data structure.
- It has lower memory requirements than breadth-first search as it stores fewer states at any given time.
- However, depth-first search might get stuck in deep or infinite branches, which can be mitigated using iterative deepening.
- In backtracking, solutions can be found faster in many cases since it prunes branches that are not feasible early on.
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