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      Question

      Recurrence relations are commonly used to analyze the

      time complexity of Divide and Conquer algorithms. The Master Theorem is a tool for solving these. What does a typical recurrence relation for Divide and Conquer look like?
      A T(N) = T(N-1) + C Correct Answer Incorrect Answer
      B T(N) = aT(N/b) + f(N) Correct Answer Incorrect Answer
      C T(N) = T(N-1) + T(N-2) Correct Answer Incorrect Answer
      D T(N) = N T(N-1) Correct Answer Incorrect Answer
      E T(N) = C Correct Answer Incorrect Answer

      Solution

      The general form of a recurrence relation for Divide and Conquer algorithms that the Master Theorem can solve is T(N) = aT(N/b) + f(N), where:        a is the number of subproblems.        N/b is the size of each subproblem.        f(N) is the cost of dividing the problem and combining the subproblem solutions.

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