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 Python (3.4.3) (judge verdict: Runtime Error)

H, W = map(int, input().split())
N = int(input())
a = list(map(int, input().split()))
K = []
for i in range(N):
    for j in range(a[i]):
        K.append(i+1)
maze = [[0] * W for _ in range(H)]

def dfs(x, y, p, i):
    if y < 0 or y >= H:
        return
    if 0 <= x < W:
        maze[y][x] = K[i]
    
    if x < 0:
        p = 0
        dfs(x+1, y+1, p, i)
        return
    elif x >= W:
        p = 1
        dfs(x-1, y+1, p, i)
        return
        
    if p == 0:
        dfs(x+1, y, p, i+1)
    else:
        dfs(x-1, y, p, i+1)

    return

dfs(0, 0, 0, 0)

for i in range(H):
    print(*maze[i])