Given a series of n numbers a1, a2, ..., an, the partial sum of the numbers is defined as the sum of ai, ai+1, ..., aj.
You are supposed to calculate how many partial sums of a given series of numbers could be divided evenly by a given number m.
Input
There are multiple test, each contains 2 lines.
The first line is 2 positive integers n (n <= 10000 ) and m (m <= 5000).
The second line contains n non-negative integers a1, a2, ..., an. Numbers are separated by one or several spaces.
The input is ended by EOF.
Output
One test each line - the number of partial sums which could be divided by m.
Sample Input
5 4
1 2 3 4 5
6 7
9 8 7 6 5 4
Sample Output
2
3