POJ2386:Lake Counting(dfs)
2017-05-22 16:22
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传送门:http://poj.org/problem?id=2386
Lake Counting
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
Sample Output
Hint
OUTPUT DETAILS:
There are three ponds: one in the upper left, one in the lower left,and one along the right side.
Source
USACO 2004 November
翻译成中文:有一个大小为N×M的园子,雨后积了水。八连通被认为是连接在一起的。请求出园子里总共有多少水洼?
简单的DFS问题,从任意w开始不停地把拎接部分用'.'代替,进行DFS,则所有w都被替换成.总共DFS次数就是答案了。
时间复杂度为O(N×M)。
Lake Counting
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 34828 | Accepted: 17285 |
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.
Source
USACO 2004 November
翻译成中文:有一个大小为N×M的园子,雨后积了水。八连通被认为是连接在一起的。请求出园子里总共有多少水洼?
简单的DFS问题,从任意w开始不停地把拎接部分用'.'代替,进行DFS,则所有w都被替换成.总共DFS次数就是答案了。
时间复杂度为O(N×M)。
#include <cstdio> #include <iostream> using namespace std; const int MAXN=100; const int MAXM=101; char pic[MAXN][MAXM]; int N,M; void input() { cin>>N>>M; int i,j; for(i=0;i<N;i++) { cin>>pic[i]; } } void dfs(int x,int y) { pic[x][y]='.'; for(int dx=-1;dx<=1;dx++) { for(int dy=-1;dy<=1;dy++) { int nx=x+dx;int ny=y+dy; if(0<=nx&&nx<N&&0<=ny&&ny<M&&pic[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(pic[i][j]=='W') { dfs(i,j); res++; } } } printf("%d\n",res); } int main(void) { input (); solve (); return 0; }
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