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: Wrong Answer)

<?php
  list($n, $m, $l) = explode(" ", trim(fgets(STDIN)));
  $ary_a = array();
  for($i=0; $i < $n; $i++) {
    $line_a = explode(" ", trim(fgets(STDIN)));
    array_push($ary_a, $line_a);
  }
  $ary_b = array();
  for($i=0; $i < $m; $i++) {
    $line_b = explode(" ", trim(fgets(STDIN)));
    array_push($ary_b, $line_b);
  }
  for($i=0; $i < $n; $i++) {
    $eee = array();
    for($f=0; $f < $n; $f++) {
      $sum = 0;
      for($r=0; $r < $m; $r++) {
        $sum += ($ary_a[$i][$r] * $ary_b[$r][$f]);
      }
      // print($sum . " ");
      array_push($eee, $sum);
    }
    if ($i == $n-1) {
      print(join(" ", $eee));
    } else {
      print(join(" ", $eee) . "\n");
    }
  }
?>