Oil Deposits

Interview

Time limit1sMemory limit128 MB

Summary
Count connected components of oil pockets (@) in a grid where cells connect in all eight directions; input ends when m is 0.
Level

Medium4 of 10

Topics
Graph, DFS, Matrix, Implementation
Solved
No attempts yet

Problem

The GeoSurvComp geologic survey company is responsible for detecting underground oil deposits. GeoSurvComp works with one large rectangular region of land at a time, and creates a grid that divides the land into numerous square plots. It then analyzes each plot separately, using sensing equipment to determine whether or not the plot contains oil. A plot containing oil is called a pocket. If two pockets are adjacent, then they are part of the same oil deposit. Oil deposits can be quite large and may contain numerous pockets. Your job is to determine how many different oil deposits are contained in a grid.

Input

The input contains one or more grids. Each grid begins with a line containing mm and nn, the number of rows and columns in the grid, separated by a single space. If m=0m = 0 it signals the end of the input; otherwise 1≤m≤1001 \le m \le 100 and 1≤n≤1001 \le n \le 100. Following this are mm lines of nn characters each. Each character corresponds to one plot and is either *, representing the absence of oil, or @, representing an oil pocket.

Output

For each grid, output the number of distinct oil deposits, one per line. Two different pockets are part of the same oil deposit if they are adjacent horizontally, vertically, or diagonally. An oil deposit will not contain more than 100 pockets.

Examples4

  1. Example 1

    Input
    1 1
    *
    3 5
    *@*@*
    **@**
    *@*@*
    1 8
    @@****@*
    5 5
    ****@
    *@@*@
    *@**@
    @@@*@
    @@**@
    0 0
    
    Expected output
    0
    1
    2
    2
    
  2. Example 2

    Input
    1 1
    @
    0 0
    
    Expected output
    1
    
  3. Example 3

    Input
    3 3
    @@@
    @@@
    @@@
    0 0
    
    Expected output
    1
    
  4. Example 4

    Input
    2 4
    ****
    ****
    0 0
    
    Expected output
    0