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Algorithms | Sorting | Question 16

A list of n string, each of length n, is sorted into lexicographic order using the merge-sort algorithm. The worst case running time of this computation is

(A)

O (n*log(n))



(B)

O (n2 log n)

(C)

O (n2 + log(n))



(D)

O (n2)


Answer:(B)
Explanation:

The recurrence tree for merge sort will have height Log(n). And O(n^2) work will be done at each level of the recurrence tree (Each level involves n comparisons and comparison takes O(n) time in the worst case).

So time complexity of this Merge Sort will be .


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