Rocket Mania is one of my favourite games of Fantasy Games series. In the game, there are matches on the left hand side, and rockets on the right hand side. In between, there are different sorts of fuse blocks (See Figure A). These fuses can be rotated 0, 90, 180 or 270 degrees. To launch a rocket, you must form an unbroken path of fuses from the match to the rocket. When a fuse is complete, all rockets linked to a match will launch (See Figure B).
Your task is, given an initial situation, rotate some fuse blocks to make as many rockets launch as possible by firing one or more matches.
Figure A Figure B Fuse Pipes
Input
Input contains multiple test cases. Each test case consists of 9 lines, each line consists of 6 characters. The characters may be '.', '-', 'L', 'T' or '+', which specify an empty block or a corresponding type of fuse block. Every test case will be followed by a blank line.
Output
There is one line for each test case, which is the maximum number of rockets you can make launch. If no rockets can launch, just output 0.
Sample Input
LLLLLL
LLLLLL
LLLLLL
LLLLLL
LLLLLL
LLLLLL
LLLLLL
LLLLLL
LLLLLL
......
.L----
-+----
.-....
.T---L
.L----
......
......
......
-L-L-L
-TL--T
-L-T-L
--+---
---T--
-TL---
---LT-
---T-T
-TL-T-
TTTTTT
TTTTTT
TTTTTT
TTTTTT
TTTTTT
TTTTTT
TTTTTT
TTTTTT
TTTTTT
Sample Output
4
3
6
9
