Twilight Sparkle once got a crystal from the Crystal Mine. A crystal of size n (n is odd; n > 1) is an n × n matrix with a diamond inscribed into it.

You are given an odd integer n. You need to draw a crystal of size n. The diamond cells of the matrix should be represented by character "D". All other cells of the matrix should be represented by character "\*". Look at the examples to understand what you need to draw.

Input

The only line contains an integer n (3 ≤ n ≤ 101; n is odd).

Output

Output a crystal of size n.

Samples

3

*D*
DDD
*D*

5

**D**
*DDD*
DDDDD
*DDD*
**D**

7

***D***
**DDD**
*DDDDD*
DDDDDDD
*DDDDD*
**DDD**
***D***