Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

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: WA: Presentation Error)

import java.util.Scanner;

class Main {

	public static void main(String[] args) {

		int n, m, l;

		Scanner stdIn = new Scanner(System.in);

		n = stdIn.nextInt();
		m = stdIn.nextInt();
		l = stdIn.nextInt();

		int[][] matrixA = new int[n][m];
		int[][] matrixB = new int[m][l];
		int[][] matrixC = new int[n][l];

		for (int i = 0; i < n; i++) {
			for (int j = 0; j < m; j++) {
				matrixA[i][j] = stdIn.nextInt();
			}
		}

		for (int i = 0; i < m; i++) {
			for (int j = 0; j < l; j++) {
				matrixB[i][j] = stdIn.nextInt();
			}
		}

		for (int i = 0; i < n; i++) {
			for (int j = 0; j < l; j++) {
				for (int k = 0; k < m; k++) {
					matrixC[i][j] += matrixA[i][k] * matrixB[k][j];
//					System.out.println("i:" + i + " j:" + j + " k:" + k + " " + matrixA[i][k] + " * " + matrixB[k][j] + " C : " + matrixC[i][j]);
				}
			}
		}

		for (int i = 0; i < n; i++) {
			for (int j = 0; j < l; j++) {
				System.out.print(matrixC[i][j]);
				if (j != l) {
					System.out.print(" ");
				}
			}
			System.out.println();
		}
	}
}