Alan Zhan Blog

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Divide and Conquer

As the name suggests, this approach breaks a complex problem into two or more identical or similar subproblems, solves the smaller problems, and then combines the results to produce the final answer.

Advantages

  1. Reduces the difficulty of solving the problem.
  2. Can improve execution efficiency.
  3. In some cases, enables parallel processing to boost performance.

Steps

  1. Divide: Break the problem into several smaller subproblems that are relatively independent and share the same form as the original problem.
  2. Conquer: If the subproblem is small enough and easy to solve, solve it directly. Otherwise, solve the subproblems recursively.
  3. Combine: Merge the solutions of the subproblems into the solution for the original problem.

Resources:

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