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What is the worst case time complexity of merge sort?

(a) O(n log n)

(b) O(n^2)

(c) O(n^2 log n)

(d) O(n log n^2)

This question was addressed to me during an online exam.

My query is from Sorting in section Sorting of Data Structures & Algorithms II

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Correct answer is (a) O(n log n)

Best explanation: The time complexity of merge sort is not affected by worst case as its algorithm has to implement the same number of steps in any case. So its time complexity remains to be O(n log n).

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