MadeEasy Test Series: Algorithms - Sorting

Question

Consider a scenario of modified quick sort, where we have given an input sorted array A[1 .. . n], all elements of array are distinct and n >=3. Pivot is the median of set of 3 elements [First element, middle element, and last element]. What will be worst case time complexity of modified quick sort?

a.O($n^{2}$)
b.O(nlogn)
c.O($n^{2}$logn)
d.O(nloglogn)

Comments

It should be O(nlogn) in worst case because, selecting median as pivot means it will be always  placed at the middle after applying partition algorithm.

---

B is the correct option

Because for every split occur at the middle .

---

See this

https://www.geeksforgeeks.org/can-quicksort-implemented-onlogn-worst-case-time-complexity/

Answer 1

Worst case would be Θ($n^2$) because input array given is already sorted.

Comments

No. See this:

https://www.geeksforgeeks.org/can-quicksort-implemented-onlogn-worst-case-time-complexity/

---

i think O(nlogn) is right answer....

Answer 2

B should be the correct option.