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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