1107 Social Clusters (30分)
When register on a social network, you are always asked to specify your hobbies in order to find some potential friends with the same hobbies. A social cluster is a set of people who have some of their hobbies in common. You are supposed to find all the clusters.
Input Specification:
Each input file contains one test case. For each test case, the first line contains a positive integer N (≤1000), the total number of people in a social network. Hence the people are numbered from 1 to N. Then N lines follow, each gives the hobby list of a person in the format:
K
i
: h
i
[1] h
i
[2] ... h
i
[K
i
]
where K
i
(>0) is the number of hobbies, and h
i
[j] is the index of the j-th hobby, which is an integer in [1, 1000].
Output Specification:
For each case, print in one line the total number of clusters in the network. Then in the second line, print the numbers of people in the clusters in non-increasing order. The numbers must be separated by exactly one space, and there must be no extra space at the end of the line.
Sample Input:
8
3: 2 7 10
1: 4
2: 5 3
1: 4
1: 3
1: 4
4: 6 8 1 5
1: 4
Sample Output:
3
4 3 1
#include <iostream>
#include <vector>
#include<algorithm>
#include <cmath>
#include<map>
#include<cstring>
#include<queue>
#include<string> //同一属性元素的集合,祖先是第一个有这属性的人;
#include<set>
#include<stack>
using namespace std;
typedef long long ll;
const int maxn=1010,inf=100000000;
int n,k,book[maxn]={0},fa[maxn];
int find(int x){
int a=x;
while(x!=fa[x]) x=fa[x];
while(a!=fa[a]){
int t=a;
a=fa[a];
fa[t]=x;
}
return x; //忘了一次有一次有一次;
}
void union_it(int a,int b){
int fx=find(a),fy=find(b);
if(fx!=fy) fa[fx]=fy;
}
bool cmp(int a,int b){
return a>b;
}
int main(){
cin>>n;int act;
for(int i=1;i<=n;i++) fa[i]=i;
for(int i=1;i<=n;i++){
scanf("%d:",&k);
for(int j=0;j<k;j++){
cin>>act;
if(!book[act]) book[act]=i; //book活动的祖先是人,father人的祖先是人;
union_it(i,book[act]); //每输入一个互动,这个人就并入该活动祖先;并查集每个集是元素;是将众多有相同点的元素并起来;
}
}
int exsit[maxn]={0};
for(int i=1;i<=n;i++){
exsit[find(i)]++;
}
sort(exsit+1,exsit+1+n,cmp);int cnt=0; //全文别搞混1到n还是0到n;
for(int i=1;i<=n;i++) if(exsit[i]) cnt++;
cout<<cnt<<endl;
sort(exsit+1,exsit+1+n,cmp);
for(int i=1;i<=cnt;i++){
if(i!=1) cout<<" ";
cout<<exsit[i];
}
}

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