– Mariano, this level is very hard! –says Luisito.

– Come on, it is not that bad! –Mariano answers.
We only have to traverse this corridor of width *W* and length *L*.
Here I have a complete map, see?
We start at the top, at the only cell with an ‘`M`’.
Dots represent free cells, and asterisks represent obtacles.
The scroll makes us go down one cell every turn,
automatically and without pressing any key.
Besides, if we press the “left” or “right” keys,
we go down diagonally, so to avoid obstacles
until we reach the bottom of the map.

– And those marks? Are they treasures?

– Let me see …no, a ‘`T`’ is for trap.

– I knew it! Mariano, let’s go home.

– Wait, the traps are not fatal. If we fall into one of them, we can scape by pressing thrice the “up” key. Come on Luisitio, it is easy to discover the optimal path!

Write a program that computes the minimum number of key-strokes necessary to overcome the level.

**Input**

Input begins with the numbers 3 ≤ *W* ≤ 80 and 3 ≤ *L* ≤ 10000,
followed by *L* lines with *W* characteres each, which represent the map.
The first line contains exactly one ‘`M`’.
The rest of characters represent free cells ‘`.`’, obstacles ‘`*`’
or traps ‘`T`’.

**Output**

Print the minimum number of key-strokes
needed to overcome the level.
If it is not possible, print “`IMPOSSIBLE`”.

Public test cases

**Input**

6 5 ...M.. ...... ...... ...... ......

**Output**

0

**Input**

6 7 ...M.. ..*T.. ...... .***T. ....T. ....T* .*****

**Output**

IMPOSSIBLE

**Input**

6 4 .T.M.. .T.... .T.... .*****

**Output**

6

**Input**

5 3 ..M.. ..... TTTTT

**Output**

3

Information

- Author
- Omer Giménez
- Language
- English
- Translator
- Carlos Molina
- Original language
- Spanish
- Other languages
- Spanish
- Official solutions
- C++
- User solutions
- C++