DWITE Online Computer Programming Contest, February 2008, Problem 4

You are trying to navigate a complicated train system to arrive at your destination in the quickest time possible. Given a system's schematic with start and end points, calculate the shortest length possible.

The schematic will be made up of a number of characters:

• S - start point
• E - end point
• just about any other character - path connecting the stations

It doesn't really matter what character represents the path. Consider the schematic to be a 2D array where every character with the exception of space and x is a valid path point. Diagonal moves are allowed. So every point has ~8~ possible connection points, and that connection is made if both characters are valid.

The input will contain ~5~ sets of data – ~N~ lines per set, ~10~ characters in length, each set separated by a line of characters x. ~1 \le N \le 5~. Each set represents a system schematic as described above.

The output will contain ~5~ lines – a minimum travel length between S and E points.

Note: the dataset will contain a lot of whitespace, instead of typical dots. Make sure you can handle this data properly.

Sample Input

.-        
S   .-E   
 `-o      
xxxxxxxxxx
   -S---  
  `     ` 
  E     | 
  |     | 
  `-----` 
xxxxxxxxxx

Sample Output

6
3

Problem Resource: DWITE