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;

class Main{
	public static void main(String[] args){
    	int n,m,l;
    	int total= 0;
    	Scanner sc = new Scanner(System.in);
    	n = sc.nextInt();
        m = sc.nextInt();
        l = sc.nextInt();
        int [][] a = new int [n][m];
        int [][] b = new int [m][l];
        int [][] c = new int [n][l];

    	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();
			}
    	}
    	sc.close();

    	for(int i = 0; i < n; i++){
			for(int j = 0; j < l; j++){
				for(int k = 0; k < m; k++){
					c[i][j] += a[i][k]*b[k][j];
				}
			}
    	}

    	for(int i = 0; i < n; i++){
			for(int j = 0; j < l; j++){
				if(j != l-1){
					System.out.print(c[i][j]+" ");
				}
				else{
					System.out.println(c[i][j]);
				}
			}
    	}

    }
}