The only king stands on the standard chess board. You are given his position in format "cd", where c is the column from 'a' to 'h' and d is the row from '1' to '8'. Find the number of moves permitted for the king.

Check the king's moves here https://en.wikipedia.org/wiki/King_(chess). [Image] King moves from the position e4 


-----Input-----

The only line contains the king's position in the format "cd", where 'c' is the column from 'a' to 'h' and 'd' is the row from '1' to '8'.


-----Output-----

Print the only integer x — the number of moves permitted for the king.


-----Example-----
Input
e4

Output
8