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. Quick sort, heap sort are unstable.

Complexity

Sorting algoritm Worst-case performance Best-case performance Average performance Worst-case space complexity
Bubble sort O(n2) O(n) O(n2) O(1)
Merge sort O(n log n) O(n log n) O(n log n) O(n) / O(1) with linked list
Quick sort O(n2) O(n log n) O(n log n) O(n) / O(1) with linked list
Radix sort O(kn)

Resources