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Return to Complexities of Basic Sorting Algorithms.
Algorithm | Worst Case | Average Case | Best Case |
---|---|---|---|
Bubble | $\theta(n^{2})$ | $\theta(n^{2})$ | $\theta(n^{2})$ |
Selection | $\theta(n^{2})$ | $\theta(n^{2})$ | $\theta(n^{2})$ |
Insertion | $\theta(n^{2})$ | $\theta(n^{2})$ | $\theta(n)$ |
Merge | $\theta(nlgn)$ | $\theta(nlgn)$ | $\theta(nlgn)$ |
Quick | $\theta(n^{2})$ | $\theta(nlgn)$ | $\theta(nlgn)$ |
Heap | $\theta(nlgn)$ | $\theta(nlgn)$ | $\theta(nlgn)$ |