MCQ IN COMPUTER SCIENCE & ENGINEERING

COMPUTER SCIENCE AND ENGINEERING

ALGORITHMS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What is the average case complexity of Quick sort algorithm?
A
O(n log n)
B
O(log n)
C
O(n)
D
O(n2)
Explanation: 

Detailed explanation-1: -Quicksort’s average case time complexity is O(n*logn) . The following is the average-case recurrence. 3). Worst Case Complexity: The worst-case situation is when the partitioning algorithm picks the largest or smallest element as the pivot element every time.

Detailed explanation-2: -The average case time complexity of quicksort is O(n*logn).

Detailed explanation-3: -Merge sort is a classic example of a divide-and-conquer algorithm. It has a guaranteed running time complexity of O ( n l o g ( n ) ) O(n  log (n)) O(n log(n)) in the best, average, and worst case.

Detailed explanation-4: -Quicksort applied to a list of n elements, again assumed to be all different and initially in random order. This popular sorting algorithm has an average-case performance of O(n log(n)), which contributes to making it a very fast algorithm in practice.

Detailed explanation-5: -The worst-case time complexity of a typical implementation of QuickSort is O(n2). The worst case occurs when the picked pivot is always an extreme (smallest or largest) element. This happens when the input array is sorted or reverses sorted and either the first or last element is picked as a pivot.

There is 1 question to complete.