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 $*n*$.