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 Ruby (2.3.3) (judge verdict: Runtime Error)

h, w=gets.split.map(&:to_i)
n=gets.to_i
a=gets.split.map(&:to_i)

c=Array.new(h){Array.new(w){0}}
l, r, d=0, 1, 2
nx=r
i, j=0, -1
a.each.with_index(1) do |e, k|
  e.times do
    if nx==r
      j+=1
      c[i][j]=k
      nx=d if j+1==w
    elsif nx==d
      i+=1
      c[i][j]=k
      if j+1==w
        nx=l
      elsif j==0
        nx=r
      else
        raise
      end
    elsif nx==l
      j-=1
      c[i][j]=k
      nx=d if j-1<0
    else
      raise
    end
  end
end

c.each do |e|
  puts e.join(' ')
end