Divisible Sum Pairs

You are given an array of  integers, , and a positive integer, . Find and print the number of  pairs where  and  +  is divisible by .

Input Format

The first line contains  space-separated integers,  and . 
The second line contains  space-separated integers describing the values of .

Constraints

Output Format

Print the number of  pairs where  and  +  is evenly divisible by .

Sample Input

6 3
1 3 2 6 1 2

Sample Output

 5

Explanation

Here are the  valid pairs when :

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