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;
import java.math.BigInteger;
public class Main
{
	public static void main( String args[] )
	{
		Scanner input = new Scanner(System.in);
		int n = input.nextInt();
		int m = input.nextInt();
		int l = input.nextInt();
		BigInteger s = BigInteger.valueOf(0);
		int[][] a = new int[111][111];
		int[][] b = new int[111][111];
		for(int i = 0; i < n; i++)
			for(int k = 0; k < m; k++)
				a[i][k] = input.nextInt();
		for(int i = 0; i < m; i++)
			for(int k = 0; k < l; k++)
				b[i][k] = input.nextInt();

		for (int i = 0; i < n; i++){
			for (int k = 0; k < l; k++){
				s = BigInteger.valueOf(0);
				for(int j = 0; j < m; j++){
					s = s.add(BigInteger.valueOf(a[i][j] * b[j][k]));
				}

				if(k == l-1)
					System.out.println(s);
				else
					System.out.print(s + " ");
			}
		}
	}
}