PAT-1107 Social Clusters (30 分)
原题链接:https://pintia.cn/problem-sets/994805342720868352/problems/994805361586847744
8 3: 2 7 10 1: 4 2: 5 3 1: 4 1: 3 1: 4 4: 6 8 1 5 1: 4
3 4 3 1
题解:把每个爱好的合并在一起,每个集合的father节点计数--->总的圈子数以及圈子里的人数,
1 #include <string.h> 2 #include <stdio.h> 3 #include <algorithm> 4 #include <math.h> 5 #include <iostream> 6 using namespace std; 7 const int maxn=1000+5; 8 int father[maxn], hobby[maxn]={0}, isRoot[maxn]={0}; 9 10 void init(int n){ 11 for(int i=1;i<=n;i++) father[i]=i,isRoot[i]=0; 12 } 13 14 int find(int x){ 15 int a=x; 16 while(x!=father[x]){ 17 x=father[x]; 18 } 19 while(a!=father[a]){ //路径压缩 20 int z=a; 21 a=father[a]; 22 father[z]=x; 23 } 24 return x; 25 } 26 27 void Union(int u, int v){ 28 int a=find(u); 29 int b=find(v); 30 if(a!=b){ 31 father[a]=b; 32 } 33 } 34 35 bool cmp(int x, int y){ 36 return x>y; 37 } 38 39 40 int main(){ 41 int n,k,h; 42 scanf("%d",&n); 43 init(n); 44 for(int i=1;i<=n;i++) { 45 scanf("%d:",&k); 46 for (int j=0;j<k;j++){ 47 scanf("%d",&h); 48 if(hobby[h]==0) hobby[h]=i; 49 Union(i, hobby[h]); 50 } 51 } 52 for(int i=1;i<=n;i++) 53 isRoot[find(i)]++; 54 int ans=0; 55 for(int i=1;i<=n;i++) 56 if(isRoot[i]) 57 ans++; 58 printf("%d\n",ans); 59 sort(isRoot+1, isRoot+1+n,cmp); 60 for(int i=1;i<=ans;i++){ 61 printf("%d",isRoot[i]); 62 if(i<ans) printf(" "); 63 } 64 return 0; 65 66 }
菠萝的版本
![](https://images.cnblogs.com/OutliningIndicators/ContractedBlock.gif)
1 def person_hobby2(): 2 n=int(input()) 3 hobby_person={} 4 for i in range(n): 5 person_hobby=set(map(int,input().split()[1:])) 6 temp=[] 7 for j,k in hobby_person.items(): 8 if not person_hobby.isdisjoint(k[0]): 9 temp.append(j) 10 hobby_person[i]=[person_hobby,1] 11 for j in temp: 12 hobby_person[i][0].update(hobby_person[j][0]) 13 hobby_person[i][1]+=hobby_person[j][1] 14 del hobby_person[j] 15 print(len(hobby_person)) 16 ans=[] 17 for i in hobby_person.values(): 18 ans.append(i[1]) 19 print(' '.join(map(str,sorted(ans,reverse=True)))) 20 21 if __name__ == "__main__": 22 person_hobby2()