Which dynamic programming approach is used to solve the Edit Distance problem?

Practice Questions

Q1
Which dynamic programming approach is used to solve the Edit Distance problem?
  1. Top-down
  2. Bottom-up
  3. Both top-down and bottom-up
  4. Greedy approach

Questions & Step-by-Step Solutions

Which dynamic programming approach is used to solve the Edit Distance problem?
  • Step 1: Understand the Edit Distance problem. It measures how many operations (insertions, deletions, substitutions) are needed to change one string into another.
  • Step 2: Learn about dynamic programming. It is a method for solving complex problems by breaking them down into simpler subproblems.
  • Step 3: Identify the two approaches in dynamic programming: top-down and bottom-up.
  • Step 4: In the top-down approach, you start with the main problem and break it down into smaller subproblems, storing the results to avoid recalculating them (this is called memoization).
  • Step 5: In the bottom-up approach, you solve all the smaller subproblems first and use their results to build up to the solution of the main problem.
  • Step 6: Both approaches can be applied to the Edit Distance problem to find the minimum number of operations needed.
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