Given an odd positive integer n, print the letter H inside an n x n grid.

Input

• One odd positive integer n.

Output

• Use * for the left column, right column, and middle row. Do not print trailing spaces.

Constraints

• 3 <= n <= 99
• n is odd

Example

Input

7

Output

*     *
*     *
*     *
*******
*     *
*     *
*     *