In the Divide and Conquer paradigm, what does the Conquer step generally involve?

Options

  • A. Dividing the problem into subproblems
  • B. Solving the smaller subproblems
  • C. Combining final answers
  • D. More than one of the above
  • E. None of the above

Correct Answer (Detailed Explanation is Below)

B. Solving the smaller subproblems

Detailed Explanation

The Conquer step involves solving the smaller subproblems created during the Divide step. In many Divide and Conquer algorithms, these subproblems are solved recursively. When a subproblem becomes sufficiently small, it reaches a base case and can be solved directly. For example, in Merge Sort, individual elements are already sorted, so they form the base cases before the sorted subarrays are combined.