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 numN = scan.nextInt();
		int numM = scan.nextInt();
		int numL = scan.nextInt();
		long[][] arrA = new long[numN][numM];
		long[][] arrB = new long[numM][numL];
		long[][] arrTot = new long[numN][numL];

		for (int i = 0; i < numN; i++) {
			for (int j = 0; j < numM; j++) {
				arrA[i][j] = scan.nextInt();
			}
		}
		for (int i = 0; i < numM; i++) {
			for (int j = 0; j < numL; j++) {
				arrB[i][j] = scan.nextInt();
			}
		}
		for (int i = 0; i < numN; i++) {
			for (int j = 0; j < numL; j++) {
				for (int k = 0; k < numM; k++) {
					arrTot[i][j] += arrA[i][k] * arrB[k][j];
				}
			}
		}
		for (int i = 0; i < numN; i++) {
			System.out.print(arrTot[i][0]);
			for (int j = 1; j < numL; j++) {
				System.out.print(" " + arrTot[i][j]);
			}
			System.out.println();
		}
	}
}