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 + 1][m + 1];
		int[][] b = new int[m + 1][l + 1];
		int[][] c = new int[n + 1][l + 1];
		int i,j,k;
		for(i = 1; i <= n; ++i){
			for(k = 1; k <= m; ++k){
				a[i][k] = scan.nextInt();
			}
		}
		for(k = 1; k <= m; ++k){
			for(j = 1; j <= l; ++j){
				b[k][j] = scan.nextInt();
			}
		}
		for(i = 1; i <= n; ++i){
			for(j = 1; j <= l; ++j){
				for(k = 1; k <= m; ++k){
					c[i][j] += a[i][k] * b[k][j] ;
				}
			}
				
			}
		for(i = 1; i <= n; ++i){
			for(j = 1; j <= l; ++j){
				if(j == l)
					System.out.println(c[i][j]);
				else 
					System.out.print(c[i][j]+" ");
			}
		}
		}
}