What are the characteristics of a problem which can be solved using the divide and conquer method?


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Divide and Conquer is a problem-solving technique where you break a problem into smaller subproblems, solve them independently, and then combine the solutions to solve the original problem.

Key Characteristics:

  1. Divisibility: The problem can be divided into smaller subproblems, often of the same type. For example, in sorting an array, you can divide the array into two smaller parts.
  2. Independence: Each subproblem should be independent of the others. This means solving one subproblem does not affect the solution to another.
  3. Combining the Results: After solving the subproblems, you must have a method to combine their solutions to form the final solution for the original problem.

Example: Think of sorting an array using Merge Sort. You divide the array into smaller arrays, sort them individually, and then merge them back together to get the sorted result.


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