# Counting Sort

Counting Sort is an sorting algorithm, which sorts the integers( or Objects) given in a specific range.

Algorithm: Time Complexity O(n)

• Take two arrays, Count[] and Result[] and given array is input[].
• Count[] will store the counts of each integer in the given array.
• Update the Count[] so that each index will store the sum till previous step. (Count[i]=Count[i] + Count[i-1]). Now updated Count[] array will reflect the actual position of each integer in Result[].
• Now navigate the input array taking one element at a time, Count[input[i]] will tell you the index position of input[i] in Result[]. When you do that, decrease the count in Count[input[i]] by 1. See Example

Counting-Sort

Code:

Output :

```Orginal Array [2, 1, 4, 5, 7, 1, 1, 8, 9, 10, 11, 14, 15, 3, 2, 4]
Sorted Array : [0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 7, 8, 9, 10, 11, 14, 15]
```

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If you find anything incorrect or you feel that there is any better approach to solve the above problem, please write comment.
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### 6 Responses

1. Wenjie Cao says:

Thanks,it did help me~

• tutorialhorizon says:

Thanks Wenjie, good to hear that it was helpful

2. anchal dhiman says:

well explain

3. Umut Dönmez says:

ty for this code Have a nice day

• tutorialhorizon says:

You r welcome.

4. May says:

original array doesn’t have a ‘0’, where sorted array has that as an extra element

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