PAT 1107 Social Clusters

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 : hi [1] hi​​ [2] ... hi [Ki​]

where Ki​ (>0) is the number of hobbies, and hi[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

分析

参考并查集简析

#include<iostream> //集合的查并补
#include<vector>
#include<algorithm>
using namespace std;
vector<int> father, isroot;
bool cmp(const int& a, const int& b){
  return a>b;
}
int findfather(int a){
  int b=a;
  while(father[a]!=a){
    a=father[a];
  }
  while(b != father[b]) {
        int z = b;
        b = father[b];
        father[z] = a;
    }
  return a;
}
void Union(int a, int b){ //并集
  int faA= findfather(a);
  int faB= findfather(b);
  if(faA!=faB) father[faA]=faB;
}
int main(){
  int N, cnt=0;
  cin>>N;
  vector<int> course(1001, 0);
  father.resize(N+1);
  isroot.resize(N+1);
  for(int i=1; i<=N; i++)
    father[i]=i;
  for(int i=1; i<=N; i++){
    int k;
    scanf("%d:",&k);
    for(int j=0; j<k; j++){
      int t;
      cin>>t;
      if(course[t]==0)
        course[t]=i;
      Union(i, findfather(course[t]));
    }
  }
  for(int i=1; i<=N; i++){
    isroot[findfather(i)]++;
  }
  for(int i=1; i<=N; i++){
    if(isroot[i]!=0)
      cnt++;
  }
  sort(isroot.begin(), isroot.end(), cmp);
  cout<<cnt<<endl;
  for(int i=0; i<cnt; i++)
    i==0?cout<<isroot[i]:cout<<" "<<isroot[i];
  return 0;
}