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: Wrong Answer)

import java.util.Scanner;
public class Main{
    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
        int n = scan.nextInt();
        int m = scan.nextInt();
        int l = scan.nextInt();
        int [] [] a = new int[n][m];
        int [] [] b = new int[m][l];
        int [] [] c = new int[n][l];
        for(int x = 0; x < n; x++){
            for(int y = 0; y < m; y++){
                a[x] [y] = scan.nextInt();
            }
        }
        for(int x = 0; x < m; x++){
            for(int y = 0; y < l; y++){
                b[x] [y] = scan.nextInt();
            }
        }
        for(int x =0; x < n; x++){
            for(int y = 0; y < l; y++){
                for(int r = 0; r < m; r++){
                    c[x][y] = c[x][y] + (a[x][r] * b[r][y]);
                }
            }
        }
        for(int x = 0; x < n; x++){
            for(int y = 0; y < l; y++){
if(y != y -1){
                System.out.print(c[x] [y] + " ");
}
else{
System.out.println(c[x] [y]);
}
            }
        }
    }
}