Lake Counting
| Time Limit: 1000MS | Memory Limit: 65536K | |
| Total Submissions: 41379 | Accepted: 20528 |
Description
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.
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.
* 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
统计大水坑个数,W为小水坑,用dfs来做.
#include <iostream>
using namespace std;
char a[105][105];
void dfs(int x,int y,int n,int m)
{
a[x][y]='.'; //先把此点转化掉,然后开始寻找符合条件范围的点,找到后开始递归搜索
int dx,dy;
for(dx=-1; dx<=1; dx++)
{
for(dy=-1; dy<=1; dy++)
{
int nx=x+dx,ny=y+dy;
if(a[nx][ny]=='W' && nx<n && ny<m && nx>=0 && ny>=0)
{
dfs(nx,ny,n,m);
}
}
}
return ;
}
int main()
{
int n,i,j,m;
cin>>n>>m;
for(i=0; i<n; ++i)
{
for(j=0; j<m; ++j)
{
cin>>a[i][j];
}
}
int ans=0;
for(i=0; i<n; ++i)
{
for(j=0; j<m; ++j)
{
if(a[i][j]=='W') //从头开始找到W则开始深搜
{
dfs(i,j,n,m);
ans++;
}
}
}
cout<<ans<<endl;
return 0;
}

本文介绍了一种使用深度优先搜索(DFS)算法解决湖泊计数问题的方法。问题设定在一个由N*M网格组成的矩形区域中,每个格子代表水或干燥土地。目标是通过DFS遍历来确定该区域中形成的独立湖泊数量。
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