Question
Quick Sort, another Divide and Conquer algorithm, partitions an array around a pivot. The choice of pivot can significantly impact its performance. What is its worst-case time complexity?
Solution
In the worst case for Quick Sort, the pivot selection consistently results in highly unbalanced partitions (e.g., always picking the smallest or largest element as the pivot). This leads to one subproblem of size N-1 and another of size 0, effectively degenerating into a selection sort-like behavior, resulting in O(N²) time complexity.
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