Problem:
Score : 400 points

Problem Statement

We have a grid with H rows and W columns of squares.
Snuke is painting these squares in colors 1, 2, ..., N.
Here, the following conditions should be satisfied:

For each i (1 ≤ i ≤ N), there are exactly a_i squares painted in Color i. Here, a_1 + a_2 + ... + a_N = H W.

For each i (1 ≤ i ≤ N), the squares painted in Color i are 4-connected. That is, every square painted in Color i can be reached from every square painted in Color i by repeatedly traveling to a horizontally or vertically adjacent square painted in Color i.

Find a way to paint the squares so that the conditions are satisfied.
It can be shown that a solution always exists.

Constraints

1 ≤ H, W ≤ 100

1 ≤ N ≤ H W

a_i ≥ 1

a_1 + a_2 + ... + a_N = H W

Input

Input is given from Standard Input in the following format:

H W
N
a_1 a_2 ... a_N

Output

Print one way to paint the squares that satisfies the conditions.
Output in the following format:

c_{1 1} ... c_{1 W}
:
c_{H 1} ... c_{H W}

Here, c_{i j} is the color of the square at the i-th row from the top and j-th column from the left.

Sample Input 1

2 2
3
2 1 1

Sample Output 1

1 1
2 3

Below is an example of an invalid solution:

1 2
3 1

This is because the squares painted in Color 1 are not 4-connected.

Sample Input 2

3 5
5
1 2 3 4 5

Sample Output 2

1 4 4 4 3
2 5 4 5 3
2 5 5 5 3

Sample Input 3

1 1
1
1

Sample Output 3

1

Solution in PHP (5.6.30) (judge verdict: Time Limit Exceeded)

<?php
error_reporting(0);
$stdin = file_get_contents('php://stdin');
$line = explode("\n",$stdin);
$fi = 0;
$cnt = 0;
$list = array();
$key = new stdclass();
foreach($line as $l) {
  if (strlen($l)==0) continue;
  if ($fi == 0) {
    $a = explode(" ",$l);
    $key->A = $a;
    $fi++;
    continue;
  }
  if ($fi > 0) {
    $a = explode(" ",$l);
    $key->X[] = $a;
  }
}
$H = $key->A[0];
$W = $key->A[1];
$N = $key->X[0][0];
$a=array();
foreach($key->X[1] as $v) {
  $a[]=$v;
}
$pos=0;
$line=array();
for($y=0;$y<$H;$y++) {
  $line[$y]=array();
  for($x=0;$x<$W;$x++) {
    $c = getColor($pos,$a);
    if ($c !== false) {
      $pos++;
      $line[$y][]=$c;
    }
  }
  if ($y%2==1) $line[$y]=array_reverse($line[$y]);
}
foreach($line as $l) {
  $ll="";
  foreach($l as $v) {
    if ($ll!="") $ll .= " ";
    $ll.=$v;
  }
  printf("%s\n",$ll);
}

function getColor($pos,$col) {
  $chk=0;
  foreach($col as $k=>$c) {
    if ($chk <= $pos && $pos < $chk+$c) {
      return $k+1;
    }
    $chk+=$c;
  }
  return false;
}