A common way to value a house, among other things, is by the area of the rooms. Though, it could be less than trivial to accurately calculate the area of a room that is not in a standard shape. Given a floor plan diagram, with rooms of interest marked, their areas should be calculated.

The input file **DATA3.txt** will contain two lines with one integer value each, R,C; 0 < R, C <= 40, representing the number of *rows* and *columns* that make up the floor plan. This is followed by R lines showing the floor plan layout, where:

- # - wall
- . - open space
- {1..5} - integers 1 to 5, marking rooms of interest

The output file **OUT3.txt** will contain 5 lines. Each line will have an integer representing the area of a room of interest. The first line should contain the area of room 1, second line of room 2, etc.

The area of the room is defined as 1 + number of reachable open spaces. The integer marker could appear anywhere inside the room.

5 6 1###.. ##4#5. 2##### .#.#.. ...#.3

1 6 4 1 4