The worst case complexity of quick sort is _________

The worst case time complexity of insertion sort is O(n2). What will be the worst case time complexity of insertion sort if the correct position for inserting element is calculated using binary search?

A

O(nlogn)

B

O(n2)

C

O(n)

D

O(logn)

Randomized quick sort is an extension of quicksort where the pivot is chosen randomly. what is the worst case complexity of sorting a numbers using randomized quick sort?

A

O (n)

B

O (n2)

C

O (n log n)

D

O (n!)

What is the worst-case time complexity of the Quick Sort algorithm to sort a list of ‘n’ values?

A

O(n)

B

O(n²)

C

O(n log₂n)

D

O(n³)

What is the worst case time complexity of a quick sort algorithm?

A

O(N)

B

O(N log N)

C

O(N2)

D

O(log N)

What is the worst case time complexity of the Quick sort?

A

O(nlogn)

B

O(n)

C

O(n3)

D

O(n2)

Let Xij =I { zi is compared to zj in quick sort algorithm} is an indicator variable, and zi is the ith smallest number. Which of the following sequence of the numbers give the X2,5 = 1? Note: Assume that there is a divide and conquer quick sort algorithm and in partition algorithm the first element of the lists is taken as pivot-element.

A

40, 50, 10, 20, 30

B

10, 20, 50, 30, 40

C

40, 20, 10, 30, 50

D

30, 20, 10, 40, 50

What is the purpose of using randomized quick sort over standard quick sort?

A

so as to avoid worst case time complexity

B

so as to avoid worst case space complexity

C

to improve accuracy of output

D

to improve average case time complexity

What is the purpose of using a median of three quick sort over standard quick sort?

A

so as to avoid worst case time complexity

B

so as to avoid worst case space complexity

C

to improve accuracy of output

D

to improve average case time complexity

Worst case is the worst case time complexity of Prim’s algorithm if adjacency matrix is used?

A

O(log V)

B

O(V2)

C

O(E2)

D

O(V log E)

The worst case occurs in quick sort when _________

A

Pivot is the median of the array

B

Pivot is the smallest element

C

Pivot is the middle element

D

None of the mentioned

The worst case complexity of quick sort is _________

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