Description

In the FEN (Forsyth-Edwards Notation), a chessboard is described as follows:

• The Board-Content is specified starting with the top row and ending with the bottom row.

For example:

5k1r/2q3p1/p3p2p/1B3p1Q/n4P2/6P1/bbP2N1P/1K1RR3

is the FEN notation description of the following chessboard:

The chessboard of the beginning of a chess game is described in FEN as:

rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR

Your task is simple: given a chessboard description in a FEN notation you are asked to compute the number of unoccupied squares on the board which are not attacked by any piece.

Input

Input is a sequence of lines, each line containing a FEN description of a chessboard. Note that the description does not necessarily give a legal chess position. Input lines do not contain whitespace.

Output

For each line of input, output one line containing an integer which gives the number of unoccupied squares which are not attacked.

5k1r/2q3p1/p3p2p/1B3p1Q/n4P2/6P1/bbP2N1P/1K1RR3
rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR

3
16

Source

The UofA Local 2000.10.14