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M269 Chapter 22

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Questions and Answers

What is backtracking?

A brute-force algorithm that generates all possible candidates
A greedy algorithm that makes the locally optimal choice at each step
A recursive technique to generate all possible solutions and test them
A technique to prune the search space by generating candidates incrementally (correct)

Which problem category is backtracking well-suited for?

Problems that can be solved using divide and conquer
Problems that can be solved using dynamic programming
Problems where solutions are sequences or subsets of items (correct)
Problems that can be solved using greedy algorithms

What is the main advantage of backtracking over exhaustive search?

It generates fewer candidates by pruning the search space (correct)
It always finds the optimal solution
It is faster than exhaustive search for all problems
It can be used for any type of problem

Which of the following is a typical example of a problem that can be solved using backtracking?

Solving a puzzle like Sudoku or N-Queens (A) Signup and view all the answers

What is the time complexity of backtracking algorithms in the worst case?

O(n^m), where m is the number of items in the solution (D) Signup and view all the answers

Which of the following is a key step in the backtracking algorithm?

Adding an item to the candidate solution and recursively exploring further (D) Signup and view all the answers

What is the difference between backtracking and the knapsack problem?

Backtracking is a technique, while the knapsack problem is a specific problem (B) Signup and view all the answers

Which of the following is a common misconception about backtracking?

Backtracking always finds the optimal solution (A) Signup and view all the answers

How does backtracking differ from recursion in tree traversal?

They are the same thing, backtracking is just a specific application of recursion (B) Signup and view all the answers

Which of the following is a key difference between backtracking and greedy algorithms?

Backtracking explores all possible solutions, while greedy algorithms make locally optimal choices (A) Signup and view all the answers