Box of Mirrors

In this problem you need to simulate a box of mirrors.  Given a
starting position for a beam of light shining into the box, your
program should compute where the beam leaves the box.

The box is a rectangular grid with a mirror in each cell.  The
mirror is diagonal across the cell like / or \.  If a light ray
enters a cell with / from the top, it leaves to the left.  If
it enters from the left, it leaves to the top.  If it enters from
the bottom, it leaves to the right.  If it enters from the right,
it leaves to the bottom.  The beam bounces off the \ mirror similarly.

The input file consists of a series of mirror setups each followed
by some light ray entry points.  The setup is described as a
rectangular pattern of / and \.  The box will never be
larger than 10 by 10.  Ray entries start with a letter
(T=top, B=bottom, R=right side, L=left side) indicating which side
the ray enters along with a digit indicating where on the side
(0 is first row or column).

Your program should output the setup number and then the results
of the rays for that setup in the format shown below.  The file ends
with a blank line.

Sample Input:			   

//\/\
/\\\\
\\/\\
\/\/\
T0
T2
R3
L1
R1
B3
\\
//
\\
T0
R0
L0
B0


Sample Output:

SETUP #1
T0 -> L0
T2 -> T3
R3 -> L2
L1 -> T1
R1 -> R2
B3 -> B4
SETUP #2
T0 -> B1
R0 -> T1
L0 -> L1
B0 -> L2