Analysis Of Recursive Factorial Method
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Questions and Answers

What is the time complexity of the recursive binary search algorithm?

  • $O(n^2)$
  • $O(\log n)$ (correct)
  • $O(2^n)$
  • $O(n)$
  • In the recursive Fibonacci algorithm, what is the lower bound on the time complexity T(n)?

  • $O(2^n)$ (correct)
  • $O(n \log n)$
  • $O(fibonacci(n))$
  • $O(n^2)$
  • What value does k take when the base case is reached in the recursive binary search algorithm?

  • $k = n/2$
  • $k = 0$
  • $k = \log n$ (correct)
  • $k = 1$
  • What is the recurrence relation for the running time of the recursive binary search method?

    <p>T(1) = a, T(n) = T(n / 2) + b</p> Signup and view all the answers

    What is the big-O complexity of the recursive selection sort algorithm?

    <p>O(n^2)</p> Signup and view all the answers

    Which method is used to solve the recurrence relation representing the running time of recursive methods?

    <p>Master theorem (Master method)</p> Signup and view all the answers

    What is the base case for the given recursive Fibonacci function?

    <p>$T(2)$</p> Signup and view all the answers

    Which algorithm does the given recurrence relation correspond to?

    <p>Merge Sort</p> Signup and view all the answers

    In the master method, what does 'a' represent in the recurrence relation?

    <p>The number of subproblems</p> Signup and view all the answers

    What does the overhead function 'f(n)' represent in the master method?

    <p>The growth rate of the solution</p> Signup and view all the answers

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