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ZOJ Problem Set - 2125
Rocket Mania

Time Limit: 10 Seconds      Memory Limit: 32768 KB

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 specified match.

Figure A Figure B Fuse Pipes

Input

Input contains multiple test cases. Each test case starts with a number X (1 <= X <= 9), which specifies the position of the match you can fire. Then followed by 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.

Output

There is one line for each test case, which is the maximum number of rockets you can make launch by firing the match on the X'th row. If no rockets can launch, just output 0.

Sample Input

1
LLLLLL
LLLLLL
LLLLLL
LLLLLL
LLLLLL
LLLLLL
LLLLLL
LLLLLL
LLLLLL
3
......
.L----
-+----
.-....
.T---L
.L----
......
......
......
5
-L-L-L
-TL--T
-L-T-L
--+---
---T--
-TL---
---LT-
---T-T
-TL-T-
1
TTTTTT
TTTTTT
TTTTTT
TTTTTT
TTTTTT
TTTTTT
TTTTTT
TTTTTT
TTTTTT

Sample Output

1
3
4
9

Hint

The time limit has been set to 3 times of the time the standard solution requires.


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Author: CHEN, Shixi
Source: Online Contest of Fantastic Game
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