Marathon weekend with restrictions
Rook, knight and bishop
On the chessboard, bishop, rook and a knight of the same color. How many fields are under the board fight?
Rook (R) runs only on the horizontals and verticals, the knight (N) - two squares in one direction and one to the other (the letter "Г"), bishop (B) - runs along the diagonals. By the way, the knight - the only chess piece that in its course can jump both through itself and the enemy's pieces.
The figure with red dots show the field that are under the gun (in chess terms - under the battle), only the knight, blue - just a rook, green - just an bishop. Yellow dots denote the field under battle knight and rook simultaneously.
In a single line in the international chess notation (see the example input data) are defined by a space position bishop, knight and rook (in any order). All input data is valid.
Derive a single number - the number of checkerboard fields under their "target".
Ne6 Rg7 Bg4