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 (C)</p> Signup and view all the answers

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

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

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

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

Which algorithm does the given recurrence relation correspond to?

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

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

<p>The number of subproblems (C)</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 (A)</p> Signup and view all the answers

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