Problem:
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Matrix Multiplication

Write a program which reads a $n \times m$ matrix $A$ and a $m \times l$ matrix $B$, and prints their product, a $n \times l$ matrix $C$. An element of matrix $C$ is obtained by the following formula:

\[
c_{ij} = \sum_{k=1}^m a_{ik}b_{kj}
\]

where $a_{ij}$, $b_{ij}$ and $c_{ij}$ are elements of $A$, $B$ and $C$ respectively.

Input

In the first line, three integers $n$, $m$ and $l$ are given separated by space characters

In the following lines, the $n \times m$ matrix $A$ and the $m \times l$ matrix $B$ are given.

Output

Print elements of the $n \times l$ matrix $C$ ($c_{ij}$). Print a single space character between adjacent elements.

Constraints

$1 \leq n, m, l \leq 100$

$0 \leq a_{ij}, b_{ij} \leq 10000$

Sample Input

3 2 3
1 2
0 3
4 5
1 2 1
0 3 2

Sample Output

1 8 5
0 9 6
4 23 14

Note

      解説

Solution in JAVA (judge verdict: Accepted)

import java.util.Scanner;

class Main{
    
    public static void main(String[] args){
        
        Scanner sc =new Scanner(System.in);
    
        int n=sc.nextInt();
        int m=sc.nextInt();
        int l=sc.nextInt();

        int a[][]=new int[n+1][m+1];
        int b[][]=new int[m+1][l+1];
       
        long sum=0;
     
        for(int i=1;i<=n;i++)
         for(int j=1;j<=m;j++)
          a[i][j]=sc.nextInt();
        
        for(int i=1;i<=m;i++)
         for(int j=1;j<=l;j++)
          b[i][j]=sc.nextInt();
        
        for(int i=1;i<=n;i++) {
         for(int j=1;j<=l-1;j++) {
          for(int k=1;k<=m;k++)
          sum+=a[i][k]*b[k][j];
         System.out.print(sum+" ");
         sum=0;
         }
         for(int k=1;k<=m;k++)
          sum+=a[i][k]*b[k][l];
         System.out.print(sum);
         sum=0;
         System.out.print("\n");
        }
  }
  
}