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insertion sort

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insertion sort

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sorting algorithm that, at each iteration, inserts the current input element into the suitable position between the already sorted elements

Key facts

Class
Sorting algorithm
Data structure
Array
Worst case performance
O ( n 2 ) {\displaystyle O(n^{2})} comparisons and swaps
Best case performance
O ( n ) {\displaystyle O(n)} comparisons, O ( 1 ) {\displaystyle O(1)} swaps
Average performance
O ( n 2 ) {\displaystyle O(n^{2})} comparisons and swaps
Worst case space complexity
O ( n ) {\displaystyle O(n)} total, O ( 1 ) {\displaystyle O(1)} auxiliary
Optimal
No

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Commons category
Insertion sort
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Article

Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time by comparisons. It is much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort. However, insertion sort provides several advantages:

Simple implementation: Jon Bentley shows a version that is three lines in C-like pseudo-code, and five lines when optimized.

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