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洛谷 P1596 [USACO10OCT]Lake Counting S C++ 深搜+染色法

小迁不秃头 2022-02-27 阅读 45

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

输入 #1复制

10 12
W........WW.
.WWW.....WWW
....WW...WW.
.........WW.
.........W..
..W......W..
.W.W.....WW.
W.W.W.....W.
.W.W......W.
..W.......W.

输出 #1复制

3

说明/提示

OUTPUT DETAILS: There are three ponds: one in the upper left, one in the lower left, and one along the right side.

AC代码及注释如下

#include<bits/stdc++.h>
using namespace std;
int cnt = 0,n,m;
int col[102][102];//用来染色
char a[102][102];
int to[8][2] = { {1,0},{0,1},{0,-1},{-1,0},{1,1},{-1,-1},{1,-1},{-1,1}};//八个方向
void dfs(int x, int y, int k) {//x行y列,第k个水池
	if (x<1 || x>n || y<1 || y>m||a[x][y]=='.')return;//如果遇到边界或者'.'便返回
	for (int i = 0; i < 8; i++) {//八个方向搜索
		int tx = x + to[i][0];
		int ty = y + to[i][1];
		//八个方向中相邻的水都属于同一个水池
		if (a[tx][ty] == 'W' && col[tx][ty] == 0) {
			col[tx][ty] = k;//用当前水池数对每个水池中的水格进行染色
			dfs(tx, ty,k);//继续搜索
		}
	}
}
int main(){
	cin >> n >> m;
	memset(col, 0, sizeof(col));
	for (int i = 1; i <= n; i++)
		for (int j = 1; j <= m; j++)
			cin >> a[i][j];
	for (int i = 1; i <=n; i++) {
		for (int j = 1; j <= m; j++) {
			if (a[i][j] == 'W' && col[i][j] == 0) {//新水池的一部分
				cnt++;//水池数++
				col[i][j] = cnt;//染色
				dfs(i, j, cnt);//开始搜索
			}
		}
	}
	cout << cnt;//完美输出
	return 0;
}
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