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?

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

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

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

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

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

    What is the difference between backtracking and the knapsack problem?

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

    Which of the following is a common misconception about backtracking?

    <p>Backtracking always finds the optimal solution (A)</p> Signup and view all the answers

    How does backtracking differ from recursion in tree traversal?

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

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

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

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