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# An Insertion Sort time complexity question in C++

## What is the time complexity of insertion sort?

**Time complexity** is the amount of time taken by a set of codes or algorithms to process or run as a function of the amount of input.

For insertion sort, the time complexity is of the order O(n) i.e. big O of n in best case scenario. And in the average or worst case scenario the complexity is of the order O(n^{2}).

## What will be the time complexity of sorting when insertion sort algorithm is applied to n sized array of the following form: 6, 5, 8, 7, 10, 9 …… I, i-1

The time complexity of form sorting the above array is O(n). Let’s see this algorithm carefully, here all pairs are swapped from their original position i.e. positions of element 1 and element 2 are interchanged, 3 and 4 are interchanged and so on. So, while sorting the algorithm will take only one operation n times to sort this algorithm.

## Define insertion sort and Write a code for insertion sort?

Insertion sort is a sorting algorithm that sorts the data structure by placing the element at its position in a sorted array.

The below code shows the function for insertion sort −

## Example

void insertionSort(int arr[], int n) { for (int i = 1; i < n; i++){ int element = arr[i]; int j = i-1; while (j >= 0 && arr[j] > element){ arr[j+1] = arr[j]; j = j-1; } arr[j+1] = element; } }

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