Analysis Of Recursive Factorial Method

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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?

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

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

O(n^2) Signup and view all the answers

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

Master theorem (Master method) Signup and view all the answers

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

$T(2)$ Signup and view all the answers

Which algorithm does the given recurrence relation correspond to?

Merge Sort Signup and view all the answers

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

The number of subproblems Signup and view all the answers

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

The growth rate of the solution Signup and view all the answers

Analysis Of Recursive Factorial Method

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Questions and Answers

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

In the recursive Fibonacci algorithm, what is the lower bound on the time complexity T(n)?

What value does k take when the base case is reached in the recursive binary search algorithm?

What is the recurrence relation for the running time of the recursive binary search method?

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

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

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

Which algorithm does the given recurrence relation correspond to?

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

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

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