# Find duplicates in an given array in O(n) time and O(1) extra space.

Objective: Given an array of integers, find out duplicates in it.

Example:

```int [] a = {4, 6, 2, 1, 2, 5};
Output: Array has duplicates : 2

int a [] = {1, 6, 5, 2, 3, 3, 2};
Output: Array has duplicates : 2 , 3
```

Approach:

Naive approach: Use 2 loops. Check each element in the array with all other elements in the array and check if it has the same value.

Time Complexity : O(n^2) Space Complexity: O(1)

Code:

Sorting approach: Sort the array, this will bring all the duplicates together if present. Now navigate the array and check the adjacent elements to check for duplicates.

Time Complexity : O(nlogn) Space Complexity: O(n) by using merge sort.

Code:

Better Solution : Use Hash map. Store the count of each element of array in a hash table and later check in the Hash table if any element has count more than 1. ( Similar approach is used in problem - Find the first non repeating character in a given string

Time Complexity : O(n) and Space Complexity: O(n).

Code:

Better Solution (Conditional) : O(n) time and O(1) extra space.

• This solution works only if array has positive integers and all the elements in the array are in range from 0 to n-1 where n is the size of the array.
• Nav­i­gate the array.
• Update the array as for ith index :- arrA[arrA[i]] = arrA[arrA[i]]*-1 (if it already not negative).
• If is already neg­a­tive, we have dupli­cates, return false.

Note:

• The code given below does not handle the case when 0 is present in the array.
• To handle 0 in array, while navigating the array, when 0 is encountered, replace it with INT_MIN and if INT_MIN is encountered while traversing, this means 0 is repeated in the array.

Similar approach used in problem : If array has all consecutive numbers.

Code:

Output:

```Array has duplicates : 3
Array has duplicates : 2
```