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.