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 for 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
```