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: Runtime Error)

import java.util.Scanner;

//20180510
//02

public class Main {
    public static void main(String[] args){
		Scanner scanner = new Scanner(System.in);

		int n = scanner.nextInt();
		int m = scanner.nextInt();
		int l = scanner.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] = scanner.nextInt();
			}
		}

		for(int x = 0;x < m;x++) {
			for (int y = 0; y < l; y++) {
				b[x][y] = scanner.nextInt();
			}
		}

		for(int x = 0;x < n;x++) {
			for (int y = 0; y < l; y++) {
				for (int z = 0; z < m; z++) {
					c[x][y] += a[x][z] * b[z][y];
				}
			}
		}

		for(int x = 0;x < l;x++) {
			for (int y = 0; y < m; y++) {
					System.out.printf("%d ",c[x][y]);
			}
			System.out.println(c[x][m]);
		}

		scanner.close();
    }
}