Write down the control abstraction for the divide and conquer method


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Control abstraction is like a blueprint for how the divide and conquer method works, without going into specific details.

Basic Steps of the Divide and Conquer Method:

  1. Divide: Split the problem into smaller subproblems.
  2. Conquer: Solve the subproblems independently.
  3. Combine: Merge or combine the solutions of the subproblems to form the solution to the original problem.

Pseudo-Algorithm:

Algorithm Divide_And_Conquer(Problem P)
   if P is small enough (base case)
      solve P directly
   else
      Divide P into smaller subproblems P1, P2, ..., Pk
      Recursively solve each subproblem
      Combine the solutions of P1, P2, ..., Pk to solve P

This general algorithm shows how problems are divided, conquered, and combined.


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