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What is the best case time complexity of permutation sort?

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in Data Structures & Algorithms II by (111k points)
What is the best case time complexity of permutation sort?

(a) O(n^2)

(b) O(n)

(c) O(n log n)

(d) O(1)

I had been asked this question in exam.

This intriguing question originated from Sorting in section Sorting of Data Structures & Algorithms II

1 Answer

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Best answer
The correct answer is (b) O(n)

Easy explanation - Best case time complexity of permutation sort occurs when the input array is already sorted. So in such a case we only need to check whether all the elements are sorted which can be done in O(n) time.

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