Lake Counting POJ - 2386

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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转载自blog.csdn.net/weixin_43336281/article/details/89847868