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