#D131. Little Pony and Crystal Mine

    ID: 104 Type: Default 1000ms 256MiB

Little Pony and Crystal Mine

Little Pony and Crystal Mine

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.

Examples

Input

3

Output

D DDD D

Input

5

Output

D DDD DDDDD DDD D

Input

7

Output

D DDD DDDDD DDDDDDD DDDDD DDD D

inputFormat

Input

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

outputFormat

Output

Output a crystal of size n.

Examples

Input

3

Output

D DDD D

Input

5

Output

D DDD DDDDD DDD D

Input

7

Output

D DDD DDDDD DDDDDDD DDDDD DDD D

样例

5
**D**

DDD DDDDD DDD D

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