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 scan=new Scanner(System.in);
	int a=scan.nextInt();
	int b=scan.nextInt();
	int c=scan.nextInt();
	long d[][]=new long[a][b];
	long e[][]=new long[b][c];
	long ans[][]=new long[a][c];
	for(int i=0;i<a;i++) {
		for(int j=0;j<b;j++) {
			d[i][j]=scan.nextInt();
		}
	}
	for(int i=0;i<b;i++) {
		for(int j=0;j<c;j++) {
			e[i][j]=scan.nextInt();
		}
	}
	for(int i=0;i<a;i++) {
		for(int j=0;j<c;j++) {
			long C=0;
			for(int k=0;k<b;k++) {
				C+=d[i][k]*e[k][j];
			}
			ans[i][j]=C;
		}
	}for(int i=0;i<a;i++) {
		for(int j=0;j<c-1;j++) {
			System.out.print(ans[i][j]+" ");
		}
		System.out.println(ans[i][c-1]);
	}
	}
}