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.io.IOException;
import java.util.Scanner;
public class Main {

	public static void main(String[] args) throws Exception {
		// TODO ?????????????????????????????????????????????
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int m = sc.nextInt();
		int l = sc.nextInt();
		
		int []a = new int [100*n+m];
		for(int b=0;b<n;b++){
			for(int c=0;c<m;c++){
				a[100*b+c] = sc.nextInt();
			}
		}
		
		int []b = new int[100*m+l];
		for(int c=0;c<m;c++){
			for(int d=0;d<l;d++)
			b[100*c+d] = sc.nextInt();
		}
		
		int x;
		for(int s=0;s<n;s++){
			for(int t=0;t<l;t++){
				x=0;
				for(int u=0;u<m;u++){
					x=x+a[100*s+u]*b[100*u+t];
				}
				if(t!=l-1){
					System.out.print(x+" ");
				}else{
					System.out.println(x);
				}
			}
		}

	}

}