Strange Patterns

Given $R$, $C$ and $D$, you will produce a pattern consisting of asterisks ($\texttt{*}$) and dots ($\texttt{.}$). The pattern is composed of diamonds repeated on a grid both horizontally and vertically.

You will print $R$ lines of strings. Each line will consist of $C$ characters (either asterisk or dot).

$D$ will determine the number of asterisks in the diamond.

When $D = 1$,

*

When $D = 2$,

.*.
***
.*.

When $D = 3$,

..*..
.***.
*****
.***.
..*..

When $D = 4$,

...*...
..***..
.*****.
*******
.*****.
..***..
...*...

And, so on.

Input

You will be given three integers, $R$, $C$, and $D$ ($1 \le R, C, D \le 10$).

Output

You will print the patterns as described in the problem statement.

Samples

Input	Output
5 7 2	.*..*.. ******* .*..*.. .*..*.. *******

Input	Output
7 7 3	..*.... .***..* ******* .***..* ..*.... ..*.... .***..*