# Find Third Smallest elements in a given array

**Objective: **Given an array of integers, write an algorithm to find the third smallest element in the array.

**Example**:

Int [] a = { 6, 8, 1, 9, 2, 10}; Output: Third smallest element is: 6 Int [] a = { 6, 8, 1, 9, 2, 1, 10, 10}; Output: Third smallest element is: 2 Int [] a = {6}; Output: Invalid Input, array size is less than 3

**Approach**:

- Take three variables; let’s call them
*first*,*second*and*third*and mark them as +∞. - Iterate through the array and for each element (let’s call it
*current*),- Check if
*first>current*, assign the*first*value to the*second*and*second*value to*third*and assign*current*to*first*. - If the above step is not true then the
*current*element might be a candidate of the second smallest element, so check if*current<second*, if yes then assign*second*value to*third*and assign*current*to*second*. - If the above step is not true then the
*current*element might be a candidate of the*third-smallest*element, so check if*current<third*, if yes then assign*current*to*third*.

- Check if
- At the end print the third, it will third-smallest element in the array

See the code below for more understanding.

**Code**:

**Output**:

Third smallest element is: 6