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HDOJ 5222 Exploration 并查集+拓扑排序 找环

时间:2015-05-08 12:57:16      阅读:255      评论:0      收藏:0      [点我收藏+]


Exploration

Time Limit: 30000/15000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 715    Accepted Submission(s): 197


Problem Description
Miceren likes exploration and he found a huge labyrinth underground! 

This labyrinth has N caves and some tunnels connecting some pairs of caves. 

There are two types of tunnel, one type of them can be passed in only one direction and the other can be passed in two directions. Tunnels will collapse immediately after Miceren passing them. 

Now, Miceren wants to choose a cave as his start point and visit at least one other cave, finally get back to start point. 

As his friend, you must help him to determine whether a start point satisfing his request exists.
 

Input
The first line contains a single integer T, indicating the number of test cases.

Each test case begins with three integers N, M1, M2, indicating the number of caves, the number of undirectional tunnels, the number of directional tunnels. 

The next M1 lines contain the details of the undirectional tunnels. Each line contains two integers u, v meaning that there is a undirectional tunnel between u, v. (u  v

The next M2 lines contain the details of the directional tunnels. Each line contains integers u, v meaning that there is a directional tunnel from u to v. (u  v)

T is about 100.

1  N,M1,M2  1000000.

There may be some tunnels connect the same pair of caves.

The ratio of test cases with N > 1000 is less than 5%.
 

Output
For each test queries, print the answer. If Miceren can do that, output "YES", otherwise "NO".
 

Sample Input
2 5 2 1 1 2 1 2 4 5 4 2 2 1 2 2 3 4 3 4 1
 

Sample Output
YES NO
Hint
If you need a larger stack size, please use #pragma comment(linker, "/STACK:102400000,102400000") and submit your solution using C++.
 

Source
 

/* ***********************************************
Author        :CKboss
Created Time  :2015年05月07日 星期四 22时48分45秒
File Name     :HDOJ5222.cpp
************************************************ */

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <string>
#include <cmath>
#include <cstdlib>
#include <vector>
#include <queue>
#include <set>
#include <map>

#pragma comment(linker, "/STACK:102400000,102400000") 

using namespace std;

const int maxn=1001000;

int fa[maxn];

int find(int x)
{
	if(fa[x]==x) return x;
	return fa[x]=find(fa[x]);
}

bool Union(int a,int b)
{
	a=find(a); b=find(b);
	if(a!=b) 
	{
		fa[a]=b; return true;
	}
	return false;
}

int n,m1,m2;

struct Edge
{
	int to,next;
}edge[2*maxn];

int Adj[maxn],Size;
int degree[maxn];
bool vis[maxn];

void init()
{
	for(int i=0;i<=n+10;i++) fa[i]=i;
	memset(Adj,-1,sizeof(Adj)); Size=0;
	memset(degree,0,sizeof(degree));
	memset(vis,false,sizeof(vis));
}

void Add_Edge(int u,int v)
{
	edge[Size].to=v;
	edge[Size].next=Adj[u];
	Adj[u]=Size++;
}


int main()
{
    //freopen("in.txt","r",stdin);
    //freopen("out.txt","w",stdout);
    
	int T_T;
	scanf("%d",&T_T);
	while(T_T--)
	{
		scanf("%d%d%d",&n,&m1,&m2);
		init();
		bool flag=false;
		for(int i=0;i<m1;i++)
		{
			int u,v;
			scanf("%d%d",&u,&v);
			if(Union(u,v)==false) flag=true;
		}
		
		for(int i=0;i<m2;i++)
		{
			int u,v;
			scanf("%d%d",&u,&v);
			if(flag) continue;
			u=find(u); v=find(v);
			if(u!=v) 
			{
				/// u--->v
				Add_Edge(v,u);
				degree[u]++;
			}
			else flag=true;
		}

		if(flag)
		{
			puts("YES"); continue;
		}

		queue<int> q;

		for(int i=1;i<=n;i++)
		{
			int u=find(i);
			if(vis[u]) continue;
			if(degree[u]==0)
			{
				q.push(u);
				vis[u]=true;
			}
		}

		while(!q.empty())
		{
			int u=q.front(); q.pop();
			u=find(u);
			for(int i=Adj[u];~i;i=edge[i].next)
			{
				int v=edge[i].to;
				v=find(v);
				degree[v]--;
				if(degree[v]==0) 
				{
					q.push(v);
					vis[v]=true;
				}
			}
		}

		bool ck=true;
		for(int i=1;i<=n&&ck;i++)
		{
			if(vis[find(i)]==false) ck=false;
		}

		if(ck) puts("NO");
		else puts("YES");
	}

    return 0;
}



HDOJ 5222 Exploration 并查集+拓扑排序 找环

原文:http://blog.csdn.net/ck_boss/article/details/45577963

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