PAT (Advanced Level) Practice 1142 Maximal Clique (25 分) 暴力
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
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
直接暴力求解, 判斷兩個是否相鄰。 。。
程式碼如下:
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <iostream>
#include <vector>
#include <stack>
using namespace std;
const int maxn=205;
int ma[maxn][maxn];
int n,m,q;
int a[maxn],vis[maxn];
void init()
{
memset (ma,0,sizeof(ma));
memset (vis,0,sizeof(vis));
}
int main()
{
scanf("%d%d",&n,&m);
init();
while (m--)
{
int x,y;
scanf("%d%d",&x,&y);
ma[x][y]=ma[y][x]=1;
}
scanf("%d",&q);
while (q--)
{
memset (vis,0,sizeof(vis));
int t,flag1=0,flag2=0;
scanf("%d",&t);
for (int i=0;i<t;i++)
{
scanf("%d",&a[i]);
vis[a[i]]=1;
}
for (int i=0;i<t-1;i++)
{
for (int j=i+1;j<t;j++)
if(!ma[a[i]][a[j]])
{
flag1=1;
break;
}
}
if(flag1)
{
printf("Not a Clique\n");
}
else
{
for (int i=1;i<=n;i++)
{
if(!vis[i])
{
int num=0;
for (int j=0;j<t;j++)
{
if(ma[i][a[j]])
num++;
}
if(num==t)
{
flag2=1;
break;
}
}
}
if(flag2)
printf("Not Maximal\n");
else
printf("Yes\n");
}
}
return 0;
}