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 Pascal (FPC 2.6.2) (judge verdict: Accepted)

var
  a,b:array[1..10000]of integer;
  n,i,j,k,l,x,y:integer;
begin
  readln(x,y);
  readln(n);
  k:=0;
  for i:=1 to n do
  begin
    read(b[i]);
    for j:=k+1 to k+b[i] do a[j]:=i;
    k:=k+b[i];
  end;
  for i:=1 to x do
  begin
    if (i mod 2=1) then
    begin
      for j:=1+y*(i-1) to y*i do  write(a[j],' ');
    end
    else  if (i mod 2=0) then
    begin
      for j:=y*i downto 1+y*(i-1) do write(a[j],' ');
    end;
  writeln;
  end;
end.