首页 > 代码库 > 洛谷 P1596 [USACO10OCT]湖计数Lake Counting 题解
洛谷 P1596 [USACO10OCT]湖计数Lake Counting 题解
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题目链接:https://www.luogu.org/problem/show?pid=1596
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。
输入输出格式
输入格式: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。
输出格式:Line 1: The number of ponds in Farmer John‘s field.
一行:水坑的数量
输入输出样例
10 12W........WW..WWW.....WWW....WW...WW..........WW..........W....W......W...W.W.....WW.W.W.W.....W..W.W......W...W.......W.
3
分析:
深度优先搜索。
AC代码:
1 #include<iostream> 2 #include<cstdio> 3 #include<cmath> 4 #include<algorithm> 5 6 using namespace std; 7 char mp[110][110]; 8 int m,n,ans = 0; 9 void dfs(int x,int y)10 {11 mp[x][y] = ‘.‘;12 //通过将水坑标记为旱地,避免再次遍历13 for(int i = -1;i <= 1;i ++)14 for(int j = -1;j <= 1;j ++)15 {16 int nx = x + i;17 int ny = y + j;18 if(nx > 0 && nx <= n && ny > 0 && ny <= m && mp[nx][ny] == ‘W‘)19 dfs(nx,ny);20 }21 return;22 }23 24 int main()25 {26 scanf("%d%d",&n,&m);27 for(int i = 1;i <= n;i ++)28 scanf("%s",mp[i] + 1);29 for(int i = 1;i <= n;i ++)30 for(int j = 1;j <= m;j ++)31 {32 if(mp[i][j] == ‘W‘)33 dfs(i,j),ans ++; 34 } 35 printf("%d",ans);36 return 0;37 }
洛谷 P1596 [USACO10OCT]湖计数Lake Counting 题解