A summit (峰会) is a meeting of heads of state or government. Arranging the rest areas for the summit is not a simple job. The ideal arrangement of one area is to invite those heads so that everyone is a direct friend of everyone.
Now given a set of tentative arrangements, your job is to tell the organizers whether or not each area is all set.
Input Specification:
Each input file contains one test case. For each case, the first line gives two positive integers N (≤ 200), the number of heads in the summit, and M, the number of friendship relations. Then M lines follow, each gives a pair of indices of the heads who are friends to each other. The heads are indexed from 1 to N.
Then there is another positive integer K (≤ 100), and K lines of tentative arrangement of rest areas follow, each first gives a positive number L (≤ N), then followed by a sequence of L distinct indices of the heads. All the numbers in a line are separated by a space.
Output Specification:
For each of the K areas, print in a line your advice in the following format:
if in this area everyone is a direct friend of everyone, and no friend is missing (that is, no one else is a direct friend of everyone in this area), print
Area X is OK.
.
if in this area everyone is a direct friend of everyone, yet there are some other heads who may also be invited without breaking the ideal arrangement, print
Area X may invite more people, such as H.
where
H
is the smallest index of the head who may be invited.
if in this area the arrangement is not an ideal one, then print
Area X needs help.
so the host can provide some special service to help the heads get to know each other.
Here
X
is the index of an area, starting from 1 to
K
.
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
2 4 6
3 3 2 1
Sample Output:
Area 1 is OK.
Area 2 is OK.
Area 3 is OK.
Area 4 is OK.
Area 5 may invite more people, such as 3.
Area 6 needs help.
思路&分析
判断强连通图,如果是,再判断不在给定节点里的节点,有没有加进来依然属于强连通图的。题目规模很小,用邻接矩阵比较方便。每一组方案用
bool
变量来保存确定的判断结果以及及时
break
。
注意点:
区分节点序号1-K与数组标号。
提交代码(AC)
#include <iostream>
#include <stdio.h>
#include <vector>
#include <queue>
#include <map>
#include <string>
#include <algorithm>
#define INF 0x3fffffff
using namespace std;
int main()
{
// freopen("1.txt","r",stdin);
int n,m,a,b;
cin>>n>>m;
int gmap[210][210];
fill(gmap[0],gmap[0]+210*210,0);
for(int i=0;i<m;i++){
cin>>a>>b;
gmap[a][b]=gmap[b][a]=1;
}
int k,num;
cin>>k;
for(int cnt=1;cnt<=k;cnt++){
scanf("%d",&num);
vector<int> arr(num+1);
for(int i=0;i<num;i++) scanf("%d",&arr[i]);
arr[num]=0;
bool flag=true;
for(int i=0;i<num;i++){
for(int j=i+1;j<num;j++){
if(gmap[arr[i]][arr[j]]==0){
flag=false;
break;
}
}
if(!flag) break;
}
if(flag){
bool missflag=false;
int res=-1;
map<int,int> mp;
for(int i=0;i<num;i++) mp[arr[i]]=1;
for(int i=1;i<=n;i++){
if(mp[i]==0){
bool thisflag=true;
for(int j=0;j<num;j++){
// cout<<arr[j]<<" "<<arr[i]<<endl;
if(gmap[arr[j]][i]==0){
thisflag=false;
break;
}
}
if(thisflag){
missflag=true;
res=i;
break;
}
}
}
if(missflag) printf("Area %d may invite more people, such as %d.\n",cnt,res);
else printf("Area %d is OK.\n",cnt);
}else printf("Area %d needs help.\n",cnt);
}
return 0;
}