What is the best case time complexity of quicksort?
The best case time complexity of quicksort is O(n log n). This occurs when the pivot divides the array into two equal halves.
Why does quicksort have this time complexity in the best case?
In the best case, each pivot selection results in balanced partitions, leading to a logarithmic number of levels in the recursion tree.
How does this compare to other sorting algorithms?
Quicksort's best case is comparable to mergesort, which also has a best case of O(n log n), but quicksort is often faster in practice due to lower constant factors.
Are there scenarios where quicksort performs worse?
Yes, in the worst case, quicksort can degrade to O(n^2), especially when the smallest or largest element is consistently chosen as the pivot.
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