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A. King Moves

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputThe 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).

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

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

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