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.

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.

One test each line - the number of partial sums which could be divided by m.

 #include <stdio.h>

 int main(int argc, char *argv[])

 {

     int n,m;

     int a[];

     int sum[];

     while( scanf("%d %d" ,&n ,&m)!=EOF ){

         int ans=;

         int ca[]={};

         for(int i=; i<n; i++){

             scanf("%d",&a[i]);

             if(i==){

                 sum[i]=a[i]%m;

             }else{

                 sum[i]=(sum[i-]+a[i])%m;

             }

             if(sum[i]%m==)

                 ans++;

             ca[sum[i]]++;

         }

         for(int i=; i<m; i++)

             ans+=ca[i]*(ca[i]-)/;

         printf("%d\n",ans);

     }

     return ;

 }