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 PHP (judge verdict: Accepted)

<?php
	$input = trim(fgets(STDIN));
	list($n, $m, $l) = explode(" ", $input);

	$a = $b = array();
	for ($i = 0; $i < $n; $i++) {
		$a[] = explode(" ", trim(fgets(STDIN)));
	}
	for ($i = 0; $i < $m; $i++) {
		$b[]= explode(" ", trim(fgets(STDIN)));
	}

	$c = array_fill(0, $n, array_fill(0, $l, 0));
	for ($i = 0; $i < $n; $i++) {
		for ($j = 0; $j < $l; $j++) {
			for ($k = 0; $k < $m; $k++) {
				$c[$i][$j] += ($a[$i][$k] * $b[$k][$j]);
			}
		}
		echo implode(" ", $c[$i]) . "\n";
	}