Quicksort is O(n²) and O(log n) working space, O(n) working space if implemented naively.
You can make quicksort O(n log n) with an optimal quickselect-based choice of pivot but the constant-factor cost is so high it becomes impractical.
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You can make quicksort O(n log n) with an optimal quickselect-based choice of pivot but the constant-factor cost is so high it becomes impractical.