Given an array of integers and a positive integer , determine the number of pairs where and + is divisible by .

**Example**

Three pairs meet the criteria: and .

**Function Description**

Complete the *divisibleSumPairs* function in the editor below.

divisibleSumPairs has the following parameter(s):

*int n:*the length of array*int ar[n]:*an array of integers*int k:*the integer divisor

**Returns**

- *int:* the number of pairs

**Input Format**

The first line contains space-separated integers, and .

The second line contains space-separated integers, each a value of .

**Constraints**

**Sample Input**

```
STDIN Function
----- --------
6 3 n = 6, k = 3
1 3 2 6 1 2 ar = [1, 3, 2, 6, 1, 2]
```

**Sample Output**

```
5
```

**Explanation**

Here are the valid pairs when :