Alice is the teacher of a class having N students, where each student is having some personality value, given in the form of an array A. Here \(A_i\) denotes the personality value of \(i^{th}\) student, where \(1 \le i \le N\). Alice has special integer K with her. Student i is a friend of Student j, if and only if (\(A[i] \;\% \; K) = (A[j] \;\% \; K \)). Each student's strength is equal to the number of friends he/she has. Alice needs to calculate the sum of the strength of all the students in the class. Help Alice for the same.

Note: This is a Code golf problem. You need to write code with minimum number of characters.

Input:
First line contains 2 integers N, K, denoting the number of students in the class and the special integer Alice is having respectively.
Second line contains N space separated integers, denoting the personality value of each student.

Output:
Print the sum of the strength of all the students in the class.

Constraints:
\( 1 \le N \le 10^5 \)
\( 1 \le K \le 10^5 \)
\( 1 \le A_i \le 10^9 \)

If your program passes all the testcases, the score will be assigned according to the following formula:

 score = 0.1
    num_chars = length of source code
    if (num_chars < 500):
        Score = (500 - num_chars) / 5

You can understand that you have to reach as close to 50 as possible. Also your code needs to pass all the testcases before a score can be assigned, there is no partial scoring here. Have fun :)