PAT 1142 Maximal Clique

A clique is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are adjacent. A maximal clique is a clique that cannot be extended by including one more adjacent vertex. (Quoted from https://en.wikipedia.org/wiki/Clique_(graph_theory))

Now it is your job to judge if a given subset of vertices can form a maximal clique.

Input Specification:

Each input file contains one test case. For each case, the first line gives two positive integers Nv (≤ 200), the number of vertices in the graph, and Ne, the number of undirected edges. Then Ne lines follow, each gives a pair of vertices of an edge. The vertices are numbered from 1 to Nv.

After the graph, there is another positive integer M (≤ 100). Then M lines of query follow, each first gives a positive number K (≤ Nv), then followed by a sequence of K distinct vertices. All the numbers in a line are separated by a space.

Output Specification:

For each of the M queries, print in a line Yes if the given subset of vertices can form a maximal clique; or if it is a clique but not a maximal clique, print Not Maximal; or if it is not a clique at all, print Not a Clique.

Sample Input:

8 10

5 6

7 8

6 4

3 6

4 5

2 3

8 2

2 7

5 3

3 4

6

4 5 4 3 6

3 2 8 7

2 2 3

1 1

3 4 3 6

3 3 2 1

Sample Output:

Yes

Yes

Yes

Yes

Not Maximal

Not a Clique

#include<iostream>
#include<vector>
using namespace std;
int main(){
	int nv, ne, k, n;
	cin>>nv>>ne;
	vector<vector<int>> G(205, vector<int>(205, 0));
	for(int i=0; i<ne; i++){
		int v1, v2;
		cin>>v1>>v2;
		G[v1][v2]=G[v2][v1]=1;
	}
	cin>>k;
	for(int i=0; i<k; i++){
		bool full=true, clique=true;
		cin>>n;
		vector<int> vi(n, 0), a(nv+1, 0);
		for(int j=0; j<n; j++){
			cin>>vi[j];
			a[vi[j]]=1;
		}
		for(int j=0; j<n; j++){
			if(clique==false) break;
			for(int l=j+1; l<n; l++){
				if(G[vi[j]][vi[l]]!=1){
					clique=false;
					cout<<"Not a Clique"<<endl;
					break;
				}
			}
		}
		if(clique==false) continue;
		for(int j=1; j<=200; j++){
			if(a[j]==0){
				for(int l=0; l<n; l++){
					if(G[vi[l]][j]==0)	break;
					if(l==n-1) full=false;
				}
			}
			if(!full){
				cout<<"Not Maximal"<<endl;
				break;
			}
		}
			if(full) cout<<"Yes"<<endl;
	}
	return 0;
}