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
	list( $n, $m, $l ) = explode( ' ', trim( fgets( STDIN ) ) );
	$A = array();
	$B = array();
	$C = array_fill( 0, $n, array_fill( 0, $l, 0 ) );
	for( $i=0; $i<$n; $i++ ) {
		array_push( $A, explode( ' ', trim( fgets( STDIN ) ) ) );
	}
	for( $i=0; $i<$m; $i++ ) {
		array_push( $B, explode( ' ', trim( fgets( STDIN ) ) ) );
	}
	for( $i=0; $i<$n; $i++ ) {
		for( $j=0; $j<$l; $j++ ) {
			$res = 0;
			for( $k=0; $k<$m; $k++ ) {
				$res += $A[$i][$k]*$B[$k][$j];
			}
			$C[$i][$j] = $res;
		}
	}
	for( $i=0; $i<$n; $i++ ) {
		print implode( " ", $C[$i] ).PHP_EOL;
	}
	return;
?>