Migrated from Lutece 717 Traveling Cellsperson

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Description

You have solved every problem from Project Euler in your head. Now it is time for a problem you might have heard of,namely The Traveling Salesperson, whose decision version is NP-complete. We consider the Traveling Salesperson problem in a 2D rectangular grid where every cell can be reached from their neighboring cells (up,down, left and right) and you can visit a cell as many times as you like (though, most of the cells aren't that interesting, so you might prefer not to visit them a lot).

Input

The first line of the input consists of a single integer $T$, the number of test cases. Then follow two integers $X$ and $Y$ , marking the width and height of the grid, respectively. Then follow $Y$ lines with $X$ characters, where the character C is a cell and the character S is the starting point.

$0 < T \le 50$

$0 < X \le 100$

$0 < Y \le 100$

All characters in a test case are C, except for exactly one, which is S.

Output

For each test case, output the minimum number of steps required to make a full roundtrip of the grid, starting and ending at $S$, and visiting each cell at least once.

Since you realize that this won't lead anywhere, finish off the output with LOL(without quotes) on a line of its own (one per run, not per test case).

Samples

1
4 4
CCCC
CCCC
CSCC
CCCC

16
LOL

Resources

IDI Open 2013 Programming Contest