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POJ lake counting(简单的dfs)

2018年04月28日 ⁄ 综合 ⁄ 共 1829字 ⁄ 字号 评论关闭
A - Lake Counting

Time Limit:1000MS     Memory Limit:65536KB     64bit IO Format:%I64d
& %I64u

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.

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.

解题思路:

就是说,给你一个图,让你找出图中的所有W组成的联通块有多少个,其实就是dfs求联通块的最简单的应用,每次找到‘W’后,就把‘W’修改成为‘.’然后,总共进行了多少次大的dfs,就说明有几个联通块了。

代码:

# include<cstdio>
# include<iostream>
# include<algorithm>
# include<cstring>
# include<string>
# include<cmath>
# include<queue>
# include<stack>
# include<set>
# include<map>

using namespace std;

# define inf 999999999
# define MAX 123

char grid[MAX][MAX];
int book[MAX][MAX];
int n,m;
int cnt;

int next[8][2] = {{1,0},{1,-1},{0,-1},{-1,-1},{-1,0},{-1,1},{0,1},{1,1}};

void input()
{
    for ( int i = 0;i < n;i++ )
    {
        scanf("%s",grid[i]);
    }
}

void dfs( int x,int y )
{
    grid[x][y] = '.';
    for ( int i = 0;i < 8;i++ )
    {
        int n_x = x+next[i][0];
        int n_y = y+next[i][1];

        if ( n_x>=0&&n_x<n&&n_y>=0&&n_y<m&&book[n_x][n_y]==0&&grid[n_x][n_y]=='W' )
        {
            dfs( n_x,n_y );
        }
    }
}

void solve()
{
    for ( int i = 0;i < n;i++ )
    {
        for ( int j = 0;j < m;j++ )
        {
            if ( grid[i][j]=='W' )
            {
                dfs( i,j );
                cnt++;
            }
        }
    }
}

int main(void)
{
    while ( cin>>n>>m )
    {
        input();
        solve();
        cout<<cnt<<endl;
    }


	return 0;
}

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