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← Logic & PuzzlesWhat happens to the computational complexity when a Quickhull algorithm uses an extremely unbalanced distribution of points, making it approach a linear search?
A)Complexity remains O(n log n)
B)Complexity reduces to O(log n)
C)Complexity increases to O(n^2)✓
D)Complexity becomes constant O(1)
💡 Explanation
Unbalanced point distribution in Quickhull degrades performance because it causes the algorithm to repeatedly partition nearly all points into one subproblem. This effectively turns it into a selection sort type approach, which is O(n^2), therefore the complexity increases, rather than remaining logarithmic or constant, under such an extreme skew.
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