洛谷P1596-[USACO10OCT]湖计数Lake Counting(DFS)

简介: 洛谷P1596-[USACO10OCT]湖计数Lake Counting(DFS)

题目描述:


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.


由于近期的降雨,雨水汇集在农民约翰的田地不同的地方。我们用一个NxM(1<=N<=100;1<=M<=100)网格图表示。每个网格中有水('W') 或是旱地('.')。一个网格与其周围的八个网格相连,而一组相连的网格视为一个水坑。约翰想弄清楚他的田地已经形成了多少水坑。给出约翰田地的示意图,确定当中有多少水坑。


输入:


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.


第1行:两个空格隔开的整数:N 和 M 第2行到第N+1行:每行M个字符,每个字符是'W'或'.',它们表示网格图中的一排。字符之间没有空格。


输出:


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


一行:水坑的数量


样例输入:


10 12


W........WW.


.WWW.....WWW


....WW...WW.


.........WW.


.........W..


..W......W..


.W.W.....WW.


W.W.W.....W.


.W.W......W.


..W.......W.  


程序代码:  


#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
int next1[9]={0,0,0,-1,-1,-1,1,1,1};
int next2[9]={0,1,-1,0,1,-1,0,1,-1};
int n,m,ans;//扩展四面八方 
char s[105][105];
void dfs(int x,int y)
{
  int tx,ty;
  s[x][y]='.';
  for(int i=1;i<=8;i++)
  {
    tx=x+next1[i];
    ty=y+next2[i];
    if(tx<1||tx>n||ty<1||ty>m||s[tx][ty]=='.')
      continue;
    s[tx][ty]='.';
    dfs(tx,ty);
  }
}
int main()
{
  scanf("%d %d",&n,&m);
  for(int i=1;i<=n;i++)
    for(int j=1;j<=m;j++)
      cin>>s[i][j]; 
  ans=0;
  for(int i=1;i<=n;i++)
  {
    for(int j=1;j<=m;j++)
    {
      if(s[i][j]=='W')
      {
        dfs(i,j);
        ans++;
      }
    }
  }
  printf("%d\n",ans);
  return 0;
}


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