HDU - 1829 A Bug's Life (并查集应用)

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题意:判断有没有同性恋的一道题,其实也可以看成是:在一颗二叉树上是否有环

思路:在并查集的基础上,有区别的一步是:当是新的两个树合并的时候,除了将一个根设为另一颗树的根的父亲外,还要加上不同性别的一层关系,我们开新的数组,vis[i]=j表示i和j是异性,还要的是将i的根的异性伙伴与j的根合并

#include <iostream>#include <cstdio>#include <cstring>#include <algorithm>using namespace std;const int MAXN = 1000005;const int INF = 10000000;int fa[MAXN];int vis[MAXN];int flag,n,m;int find(int x){if (x != fa[x])fa[x] = find(fa[x]);return fa[x];}void Union(int x,int y){int fx = find(x),fy = find(y);if (fx == fy)flag = 0;else {if (vis[fx])fa[vis[fx]] = fy;if (vis[fy])fa[vis[fy]] = fx;vis[fx] = fy,vis[fy] = fx;}}int main(){int t,cas=1;;scanf("%d",&t);while (t--){scanf("%d%d",&n,&m);flag = 1;for (int i = 0; i <= n; i++)fa[i] = i,vis[i] = 0;for (int i = 0; i < m; i++){int a,b;scanf("%d%d",&a,&b);Union(a,b);}printf("Scenario #%d:\n",cas++);if (flag)printf("No suspicious bugs found!\n\n");else printf("Suspicious bugs found!\n\n");}return 0;}



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