Square boards (as the chessboard) are really common among games and luckily, they are easy to draw with the help of a ruler. However, there exist other games that require hexagonal boards, that are much harder to draw by hand.

The Institute for Client Permanent Comfort (ICPC) of a famous board game factory has decided to provide their customers with an automated program to build hexagonal boards for several games. The size of an hexagonal board is determined by a single integer N that indicates how many cells there are in each of the 6 sides of the board. For example, a board of size N = 2 should look as follows when drawn by the program.

   _
 _/ \_
/ \_/ \
\_/ \_/
/ \_/ \
\_/ \_/
  \_/

Your task is to help ICPC in making the program.

Input

The input contains several test cases. Each test case is described in a single line that contains an integer N representing the size of the board (1 ≤ N ≤ 20). The last line of the input contains a single −1 and should not be processed as a test case.

Output

For each test case output the hexagonal board of the required size, and a line with exactly three asterisks. You have to follow the sample input and output, as well as the example given above. Use only regular spaces, underscores (“_”), slashes (“/”) and backslashes (“\”). There must be no trailing spaces at the end of printed lines, neither empty lines.

Example

Input:
1
3
-1
Output:
_
/ 

_/

 _

_/ _
_/ _/ _
/ _/ _/ 

_/ _/ _/
/ _/ _/ 

_/ _/ _/
/ _/ _/ 

_/ _/ _/
_/ _/
_/
***