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();

for ($i = 0; $i < $n; $i++) $a[$i] = explode(" ", trim(fgets(STDIN)));
for ($i = 0; $i < $m; $i++) $b[$i] = explode(" ", trim(fgets(STDIN)));
for ($i = 0; $i < $n; $i++)
  for ($j = 0; $j < $l; $j++)
    $c[$i][$j] = 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];

$out = array();
for ($i = 0; $i < $n; $i++)
  array_push($out, implode(" ", $c[$i]));

echo implode("\n", $out) . "\n";