Sorting algorithms

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Definition

Stable sort: two elements with equal keys are in the same order after sorting. For instance, insertion sort, merge sort, bubble sort are stable. Quicksort, heapsort are unstable.

Complexity

Sorting algoritm Worst-case performance Best-case performance Average performance Worst-case space complexity
Bubblesort O(n2) O(n) O(n2) O(1)
Mergesort O(n log n) O(n log n) O(n log n) O(n) / O(1) with linked list
Quicksort O(n2) O(n log n) O(n log n) O(n) / O(1) with linked list

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