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Which of the following is not a characteristic of dynamic programming?Overlapping subproblemsOptimal substructureRecursionDivide and Conquer

Question

Which of the following is not a characteristic of dynamic programming?

  • Overlapping subproblems
  • Optimal substructure
  • Recursion
  • Divide and Conquer
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Solution

The characteristic that is not related to dynamic programming among the options given is "Divide and Conquer".

Here's why:

  1. Overlapping Subproblems: This is a key characteristic of dynamic programming. In many problems, the same subproblems are solved again and again. Dynamic programming saves the solution of these overlapping subproblems to improve efficiency.

  2. Optimal Substructure: This is another important characteristic of dynamic programming. A problem has an optimal substructure if an optimal solution to the entire problem contains the optimal solutions to the subproblems.

  3. Recursion: Dynamic programming uses recursion to solve problems. However, it also combines recursion with memoization (storing the results of expensive function calls and reusing them when the same inputs occur again) to optimize the process.

  4. Divide and Conquer: This is not a characteristic of dynamic programming. While both dynamic programming and divide and conquer work by breaking down the main problem into smaller subproblems, the key difference is that divide and conquer does not solve overlapping subproblems multiple times like dynamic programming does. Instead, divide and conquer approach partitions the problem into independent subproblems, solves them independently, and then combines their solutions to solve the original problem.

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