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 sc = new Scanner(System.in);
		int n = sc.nextInt();
		int m = sc.nextInt();
		int l = sc.nextInt();
		long[][] a = new long[100][101];
		long[][] b = new long[101][100];
		long[][] c = new long[100][100];
		int i  = 0;
		int j  = 0;
		int k  = 0;

		for(i = 0; i < n; i++) {
			for(k = 1; k <= m; k++) {
				a[i][k] = sc.nextInt();
			}
		}

		for(k = 1; k <= m; k++) {
			for(j = 0; j < l; j++) {
				b[k][j] = sc.nextInt();
			}
		}

		for(i = 0; i < n; i++) {
			for(j = 0; j < l; j++) {
				for(k = 1; k <= m; k++) {
					c[i][j] += a[i][k] * b[k][j];
				}
				if(j < l-1) {
					System.out.print(c[i][j] + " ");
				}else {
					System.out.print(c[i][j]);
				}
			}
			System.out.println();
		}
		sc.close();
	}
}