• Lake Counting POJ


    Due to recent rains, water has pooled in various places in Farmer John’s field, which is represented by a rectangle of N x M (1 <= N <= 100; 1 <= M <= 100) squares. Each square contains either water (‘W’) or dry land (’.’). Farmer John would like to figure out how many ponds have formed in his field. A pond is a connected set of squares with water in them, where a square is considered adjacent to all eight of its neighbors.

    Given a diagram of Farmer John’s field, determine how many ponds he has.

    Input

    • Line 1: Two space-separated integers: N and M

    • Lines 2…N+1: M characters per line representing one row of Farmer John’s field. Each character is either ‘W’ or ‘.’. The characters do not have spaces between them.

    Output

    • Line 1: The number of ponds in Farmer John’s field.

    Sample Input

    10 12

    W........WW.
    .WWW.....WWW
    ....WW...WW.
    .........WW.
    .........W..
    ..W......W..
    .W.W.....WW.
    W.W.W.....W.
    .W.W......W.
    ..W.......W.
    

    Sample Output

    3

    Hint

    OUTPUT DETAILS:

    There are three ponds: one in the upper left, one in the lower left,and one along the right side.

    Code

    /*
                                    ^....0
                                   ^ .1 ^1^
                                   ..     01
                                  1.^     1.0
                                 ^ 1  ^    ^0.1
                                 1 ^        ^..^
                                 0.           ^ 0^
                                 .0            1 .^
                                 .1             ^0 .........001^
                                 .1               1. .111100....01^
                                 00             ^   11^        ^1. .1^
                                 1.^                              ^0  0^
                                   .^                                 ^0..1
                                   .1                                   1..^
                                 1 .0                                     ^  ^
                                  00.                                     ^^0.^
                                  ^ 0                                     ^^110.^
                              0   0 ^                                     ^^^10.01
                       ^^     10  1 1                                      ^^^1110.1
                       01     10  1.1                                      ^^^1111110
                       010    01  ^^                                        ^^^1111^1.^           ^^^
                       10  10^ 0^ 1                                            ^^111^^^0.1^       1....^
                        11     0                                               ^^11^^^ 0..  ....1^   ^ ^
                        1.     0^                                               ^11^^^ ^ 1 111^     ^ 0.
                       10   00 11                                               ^^^^^   1 0           1.
                       0^  ^0  ^0                                                ^^^^    0            0.
                       0^  1.0  .^                                               ^^^^    1 1          .0
                       ^.^  ^^  0^                             ^1                ^^^^     0.         ^.1
                       1 ^      11                             1.                ^^^     ^ ^        ..^
                      ^..^      ^1                             ^.^               ^^^       .0       ^.0
                      0..^      ^0                              01               ^^^       ..      0..^
                     1 ..        .1                             ^.^              ^^^       1 ^  ^0001
                    ^  1.        00                              0.             ^^^        ^.0 ^.1
                    . 0^.        ^.^                             ^.^            ^^^         ..0.0
                   1 .^^.         .^                  1001        ^^            ^^^         . 1^
                   . ^ ^.         11                0.    1         ^           ^^          0.
                    0  ^.          0              ^0       1                   ^^^          0.
                  0.^  1.          0^             0       .1                   ^^^          ..
                  .1   1.          00            .        .1                  ^^^           ..
                 1      1.         ^.           0         .^                  ^^            ..
                 0.     1.          .^          .         0                                  .
                 .1     1.          01          .        .                                 ^ 0
                ^.^     00          ^0          1.       ^                                 1 1
                .0      00           .            ^^^^^^                                   .
                .^      00           01                                                    ..
               1.       00           10                                                   1 ^
              ^.1       00           ^.                                            ^^^    .1
              ..        00            .1                                        1..01    ..
             1.1         00           1.                                       ..^      10
            ^ 1^         00           ^.1                                      0 1      1
            .1           00            00                                       ^  1   ^
             .           00            ^.^                                        10^  ^^
           1.1           00             00                                              10^
           ..^           1.             ^.                                               1.
          0 1            ^.              00                 00                            .^
            ^            ^.              ^ 1                00   ^0000^     ^               01
         1 0             ^.               00.0^              ^00000   1.00.1              11
         . 1              0               1^^0.01                      ^^^                01
          .^              ^                1   1^^                                       ^.^
        1 1                                                                              0.
        ..                                                                              1 ^
         1                                                                               1
       ^ ^                                                                             .0
       1                                                                             ^ 1
       ..                                                          1.1            ^0.0
      ^ 0                                                           1..01^^100000..0^
      1 1                                                            ^ 1 ^^1111^ ^^
      0 ^                                                             ^ 1      1000^
      .1                                                               ^.^     .   00
      ..                                                                1.1    0.   0
      1.                                                                  .    1.   .^
      1.                                                                 1    1.   ^0
     ^ .                                                                 ^.1 00    01
     ^.0                                                                  001.     .^
     */
    // Virtual_Judge —— Lake Counting POJ - 2386.cpp created by VB_KoKing on 2019-05-05:15.
    /* Procedural objectives:
    
     Variables required by the program:
    
     Procedural thinking:
    从任意的W开始, 不停地把邻接的部分用.代替。
    
    1次DFS后与初始的这个W连接的所有W就都被替换成了.,因此直到图中不在存在W位置,总共进行DFS的次数就是答案。
    
    8个方向对应了8种状态转移,每个格子作为DFS的参数至多被调用一次,所以复杂度为O(8*N*M)。
     Functions required by the program:
    
    */
    /* My dear Max said:
    "I like you,
    So the first bunch of sunshine I saw in the morning is you,
    The first gentle breeze that passed through my ear is you,
    The first star I see is also you.
    The world I see is all your shadow."
    
    FIGHTING FOR OUR FUTURE!!!
    */
    #include <iostream>
    using namespace std;
    
    int N,M;
    char field[107][107];
    
    void dfs(int x,int y)
    {
        field[x][y]='.';
    
        for (int dx = -1; dx < 2; dx++)
        {
            for (int dy = -1; dy < 2; dy++)
            {
                int nx=x+dx,ny=y+dy;
                if (-1<nx&&nx<N+1&&-1<ny&&ny<M&&field[nx][ny]=='W')
                    dfs(nx,ny);
            }
        }
        return;
    }
    
    void solve()
    {
        int res=0;
        for (int i = 0; i < N; i++) {
            for (int j = 0; j < M; j++) {
                if (field[i][j]=='W')
                {
                    dfs(i,j);
                    res++;
                }
            }
        }
        cout<<res<<endl;
    }
    
    int main()
    {
        cin>>N>>M;
        for (int i = 0; i < N; i++)
            for (int j = 0; j < M; j++)
                cin>>field[i][j];
        solve();
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/AlexKing007/p/12338349.html
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