Exploration(hdu5222)

Posted 2020-08-22 SJY

Exploration

 

 Accepts: 190

 

 Submissions: 976

 Time Limit: 30000/15000 MS (Java/Others)

 

 Memory Limit: 131072/131072 K (Java/Others)

Problem Description

Miceren likes exploration and he found a huge labyrinth underground!

This labyrinth has NN 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 TT, indicating the number of test cases.

Each test case begins with three integers N,~M1,~M2N, M1, M2, indicating the number of caves, the number of undirectional tunnels, the number of directional tunnels.

The next M1M1 lines contain the details of the undirectional tunnels. Each line contains two integers u,~vu, v meaning that there is a undirectional tunnel between u,~vu, v. (u~\neq~vu ≠ v)

The next M2M2 lines contain the details of the directional tunnels. Each line contains integers u,~vu, v meaning that there is a directional tunnel from uu to vv. (u~\neq~vu ≠ v)

TT is about 100.

1~\le~N, M1, M2~\le~1000000.1 ≤ N,M1,M2 ≤ 1000000.

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

The ratio of test cases with $N~\gt~1000$ 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++.

思路：并查集+拓扑排序;

先处理无向边，用并查集缩点，然后处理完后，所有的无向边都没了，并且无向边所连的点都缩成一个点，那么剩下的就是有向图了，那么有向图判环用拓扑排序。

  1 #include <stdio.h>
  2 #include <stdlib.h>
  3 #include<iostream>
  4 #include<algorithm>
  5 #include<math.h>
  6 #include<string.h>
  7 #include<map>
  8 #include<vector>
  9 #include<queue>
 10 using namespace std;
 11 #pragma comment(linker, "/STACK:102400000,102400000")
 12 typedef long long LL;
 13 int bin[1000005];
 14 int du[1000005];
 15 vector<int>vec[1000005];
 16 queue<int>que;
 17 int id[1000005];
 18 bool dfs(int n);
 19 int fin(int x);
 20 int cnt[1000005];
 21 bool t[1000005];
 22 int main(void)
 23 {
 24     int n;
 25     scanf("%d",&n);
 26     while(n--)
 27     {
 28         int i,j;
 29         memset(cnt,0,sizeof(cnt));
 30         memset(t,0,sizeof(t));
 31         for(i = 0; i <= 1000000; i++)
 32         {
 33             bin[i] = i;
 34             du[i] = 1;
 35             vec[i].clear();
 36         }
 37         int N,m1,m2;
 38         bool flag = false;
 39         scanf("%d %d %d",&N,&m1,&m2);
 40         while(m1--)
 41         {
 42             int a,b;
 43             scanf("%d %d",&a,&b);
 44             int aa = fin(a);
 45             int bb = fin(b);
 46             if(aa!=bb)
 47             {
 48                 if(du[aa]>du[bb])
 49                 {
 50                     du[aa]+=du[bb];
 51                     bin[bb] = aa;
 52                 }
 53                 else
 54                 {
 55                     du[bb] += du[aa];
 56                     bin[aa] = bb;
 57                 }
 58             }
 59             else flag  = true;
 60         }
 61         while(m2--)
 62         {
 63             int a,b;
 64             scanf("%d %d",&a,&b);
 65             if(!flag)
 66             {
 67                 int aa = fin(a);
 68                 int bb = fin(b);
 69                 if(aa == bb)
 70                     flag = true;
 71                 else
 72                 {   cnt[bb]++;
 73                     vec[aa].push_back(bb);
 74                 }
 75             }
 76         }
 77         if(!flag)
 78         {
 79             int cn = 0;
 80             for(i = 1; i <= N; i++)
 81             {
 82                 int c = fin(i);
 83                 if(!t[c])
 84                 {
 85                     id[cn++] =c;
 86                     t[c] = true;
 87                 }
 88             }
 89             while(!que.empty())que.pop();
 90             int ck = 0;
 91             for(i = 0;i < cn;i++)
 92             {
 93                 if(!cnt[id[i]])
 94                 {
 95                     que.push(id[i]);
 96                     ck++;
 97                 }
 98             }
 99             while(!que.empty())
100             {
101                 int ff = que.front();
102                 que.pop();
103                 for(i = 0;i < vec[ff].size();i++)
104                 {
105                     int k = vec[ff][i];
106                     cnt[k]--;
107                     if(cnt[k] == 0)
108                         ck++,que.push(k);
109                 }
110             }
111             if(cn != ck)
112                 flag = true;
113         }
114         if(flag)printf("YES\n");
115         else printf("NO\n");
116     }
117     return 0;
118 }
119 int fin(int x)
120 {
121     int i;
122     for(i = x; bin[i] != i;)
123         i = bin[i];
124     return i;
125 }

还有拓扑排序部分改成dfs也可以过，数据比较水。

  1 #include <stdio.h>
  2 #include <stdlib.h>
  3 #include<iostream>
  4 #include<algorithm>
  5 #include<math.h>
  6 #include<string.h>
  7 #include<map>
  8 #include<vector>
  9 using namespace std;
 10 #pragma comment(linker, "/STACK:102400000,102400000")
 11 typedef long long LL;
 12 int bin[1000005];
 13 int du[1000005];
 14 vector<int>vec[1000005];
 15 bool vis[1000005];
 16 int id[1000005];
 17 bool t[1000005];
 18 bool dfs(int n);
 19 int fin(int x);
 20 int cnt[1000005];
 21 int main(void)
 22 {
 23     int n;
 24     scanf("%d",&n);
 25     while(n--)
 26     {
 27         int i,j;
 28         memset(vis,0,sizeof(vis));
 29         memset(t,0,sizeof(t));
 30         memset(cnt,0,sizeof(cnt));
 31         for(i = 0; i <= 1000000; i++)
 32         {
 33             bin[i] = i;
 34             du[i] = 1;
 35             vec[i].clear();
 36         }
 37         int N,m1,m2;
 38         bool flag = false;
 39         scanf("%d %d %d",&N,&m1,&m2);
 40         while(m1--)
 41         {
 42             int a,b;
 43             scanf("%d %d",&a,&b);
 44             int aa = fin(a);
 45             int bb = fin(b);
 46             if(aa!=bb)
 47             {
 48                 if(du[aa]>du[bb])
 49                 {
 50                     du[aa]+=du[bb];
 51                     bin[bb] = aa;
 52                 }
 53                 else
 54                 {
 55                     du[bb] += du[aa];
 56                     bin[aa] = bb;
 57                 }
 58             }
 59             else flag  = true;
 60         }
 61         while(m2--)
 62         {
 63             int a,b;
 64             scanf("%d %d",&a,&b);
 65             if(!flag)
 66             {
 67                 int aa = fin(a);
 68                 int bb = fin(b);
 69                 if(aa == bb)
 70                     flag = true;
 71                 else
 72                 {
 73                     vec[aa].push_back(bb);
 74                 }
 75             }
 76         }
 77         if(!flag)
 78         {
 79             int cn = 0;
 80             for(i = 1; i <= N; i++)
 81             {
 82                 int c = fin(i);
 83                 if(!t[c])
 84                 {
 85                     id[cn++] =c;
 86                 }
 87             }
 88             for(i = 0; i <= cn; i++)
 89             {
 90                 if(!vis[id[i]])
 91                 {
 92                     flag = dfs(id[i]);
 93                     if(flag)break;
 94                 }
 95             }
 96         }
 97         if(flag)printf("YES\n");
 98         else printf("NO\n");
 99     }
100     return 0;
101 }
102 int fin(int x)
103 {
104     int i;
105     for(i = x; bin[i] != i;)
106         i = bin[i];
107     return i;
108 }
109 bool dfs(int n)
110 {
111     cnt[n] = 1;
112     vis[n] = true;
113     for(int i = 0; i < vec[n].size(); i++)
114     {
115         int c = vec[n][i];
116         if(cnt[c] == 1)
117         {
118             cnt[c] = 0;
119             return true;
120         }
121         else
122         {
123             if(dfs(c))
124             {
125                 cnt[c] = 0;
126                 return true;
127             }
128         }
129     }
130     cnt[n] = 0;
131     return false;
132 }