给出一个点集,判断是否是图的覆盖。
就是与这些点相连的边是否覆盖了整张图。
给每条边编号,Push进相连的点里,按点集标记判断就看以了。
A vertex cover of a graph is a set of vertices such that each edge of the graph is incident to at least one vertex of the set. Now given a graph with several vertex sets, you are supposed to tell if each of them is a vertex cover or not.
Input Specification:
Each input file contains one test case. For each case, the first line gives two positive integers N and M (both no more than 10
4
), being the total numbers of vertices and the edges, respectively. Then M lines follow, each describes an edge by giving the indices (from 0 to N−1) of the two ends of the edge.
After the graph, a positive integer K (≤ 100) is given, which is the number of queries. Then K lines of queries follow, each in the format:
N
v
v[1] v[2]⋯v[N
v
]
where N
v
is the number of vertices in the set, and v[i]'s are the indices of the vertices.
Output Specification:
For each query, print in a line Yes if the set is a vertex cover, or No if not.
Sample Input:
10 11
8 7
6 8
4 5
8 4
8 1
1 2
1 4
9 8
9 1
1 0
2 4
5
4 0 3 8 4
6 6 1 7 5 4 9
3 1 8 4
2 2 8
7 9 8 7 6 5 4 2
Sample Output:
No
Yes
Yes
No
No
#include<bits/stdc++.h>
#include <iostream>
#include<vector>
#include<stack>
#include<string>
using namespace std;
int main() {
map<int ,map<int ,int > >mp1;
map<int ,map<int ,int > >mp2;
int n,m;
cin>>n>>m;
vector<int> mp[n];
for(int i=0; i<m; i++) {
int a,b;
cin>>a>>b;
mp[a].push_back(i);
mp[b].push_back(i);
}
int t;
cin>>t;
for(int i=0; i<t; i++) {
int k;
cin>>k;
vector<int> hash(m,0);
for(int j=0; j<k; j++) {
int tmp;
cin>>tmp;
for(int p=0; p<mp[tmp].size(); p++) {
hash[mp[tmp][p]]=1;
}
}
int flag=0;
for(int j=0; j<m; j++) {
if(hash[j]==0) {
flag=1;
cout<<"No"<<endl;
break;
}
}
if(flag==0)cout<<"Yes"<<endl;
}
}