POJ 2386 Lake Counting
作者:互联网
地址 http://poj.org/problem?id=2386
《挑战程序设计竞赛》习题
题目描述
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.
样例
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
算法1
将相同的水坑算在一起 并查集
C++ 代码
#include <iostream> #include <set> using namespace std; #define MAX_NUM 110 int N, M; char field[MAX_NUM+10][MAX_NUM + 10]; int fa[MAX_NUM*MAX_NUM]; //char field[10][12] = { // {'W','.','.','.','.','.','.','.','.','W','W','.'}, // {'.','W','W','W','.','.','.','.','.','W','W','W'}, // {'.','.','.','.','W','W','.','.','.','W','W','.'}, // {'.','.','.','.','.','.','.','.','.','W','W','.'}, // {'.','.','.','.','.','.','.','.','.','W','.','.'}, // {'.','.','W','.','.','.','.','.','.','W','.','.'}, // {'.','W','.','W','.','.','.','.','.','W','W','.'}, // {'W','.','W','.','W','.','.','.','.','.','W','.'}, // {'.','W','.','W','.','.','.','.','.','.','W','.'}, // {'.','.','W','.','.','.','.','.','.','.','W','.'} //}; //=============================================== // union find void init(int n) { for(int i=1;i<=n;i++) fa[i]=i; } int get(int x) { return fa[x]==x?x:fa[x]=get(fa[x]);//路径压缩,防止链式结构 } void merge(int x,int y) { fa[get(x)]=get(y); } //=========================================================== void Check(int x,int y) { //上 int xcopy = x - 1; if (xcopy >= 0 && x < N) { for (int add = -1; add <= 1; add++) { int ycopy = y + add; if (ycopy >= 0 && ycopy < M && field[xcopy][ycopy] == 'W') { int idx = x * M + y; int anotherIdx = xcopy * M + ycopy; merge(idx, anotherIdx); } } } //中 xcopy = x; if (xcopy >= 0 && x < N) { for (int add = -1; add <= 1; add++) { if (add == 0) continue; int ycopy = y + add; if (ycopy >= 0 && ycopy < M && field[xcopy][ycopy] == 'W') { int idx = x * M + y; int anotherIdx = xcopy * M + ycopy; merge(idx, anotherIdx); } } } //下 xcopy = x + 1; if (xcopy >= 0 && x < N) { for (int add = -1; add <= 1; add++) { int ycopy = y + add; if (ycopy >= 0 && ycopy < M && field[xcopy][ycopy] == 'W') { int idx = x * M + y; int anotherIdx = xcopy * M + ycopy; merge(idx, anotherIdx); } } } } int main() { cin >> N >> M; //N = 10; M = 12; init(MAX_NUM*MAX_NUM); for (int i = 0; i < N; i++) { for (int j = 0; j < M; j++) { cin >> field[i][j]; if (field[i][j] == 'W') { //检查上下左右八个方向是否有坑 Check(i,j); } } } set<int> s; for (int i = 0; i < N; i++) { for (int j = 0; j < M; j++) { if (field[i][j] == 'W') { int idx = i * M + j; //cout << "fa["<<idx << "] = "<< fa[idx] << endl; s.insert(get(idx)); } } } cout << s.size() << endl; return 0; } 作者:defddr 链接:https://www.acwing.com/solution/acwing/content/3674/ 来源:AcWing 著作权归作者所有。商业转载请联系作者获得授权,非商业转载请注明出处。
算法2
DFS 遍历 将坐标连续的坑换成. 计数+1
todo
C++ 代码
标签:ycopy,int,MAX,Lake,field,xcopy,POJ,&&,Counting 来源: https://www.cnblogs.com/itdef/p/11332128.html