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??: 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
题意:有N个人,每个人喜欢若干项活动,如果两个人有任意一项活动相同,那么就称他们处于同一个社交网络(若A和B属于同一个社交网络,B和C属于同一个社交网络,那么A、B、C属于同一个社交网络)。求这N个人总共形成多少个社交网络。参考代码:
1 #include<cstdio> 2 #include<algorithm> 3 using namespace std; 4 const int N = 1010; 5 int father[N]; //存放父亲结点 6 int isRoot[N] = {0}; //记录每个结点是否作为某个集合的根结点 7 int course[N] = {0}; 8 int findFather(int x){ //查找x所在集合的根结点 9 int a = x; 10 while(x!=father[x]){ 11 x = father[x]; 12 } 13 //路径压缩 14 while(a != father[a]){ 15 int z = a; 16 a = father[a]; 17 father[z] = x; 18 } 19 return x; 20 } 21 22 void Union(int a,int b){ //合并a和b所在的集合 23 int faA = findFather(a); 24 int faB = findFather(b); 25 if(faA != faB){ 26 father[faA] = faB; 27 } 28 } 29 void init(int n){ //初始化father[i]为i,且flag[i]为false 30 for(int i=1;i<=n;i++){ 31 father[i] = i; 32 isRoot[i] = false; 33 } 34 } 35 36 bool cmp(int a,int b){ //将isRoot数组从大到小排序 37 return a > b; 38 } 39 40 int main(){ 41 int n,k,h; 42 scanf("%d",&n); //人数 43 init(n); 44 for(int i=1;i<=n;i++){ //对每个人 45 scanf("%d:",&k); //活动个数 46 for(int j=0;j<k;j++){ //对每个活动 47 scanf("%d",&h); //输入i号人喜欢的活动h 48 if(course[h] == 0){ //如果活动h第一次有人喜欢 49 course[h] = i; //令i喜欢活动h 50 } 51 Union(i,findFather(course[h])); //合并 52 } 53 } 54 55 for(int i=1;i<=n;i++){ 56 isRoot[findFather(i)]++; //i的跟结点是findFzther(i),人数加1 57 } 58 int ans = 0; //记录集合数目 59 for(int i=1;i<=n;i++){ 60 if(isRoot[i] != 0){ 61 ans++; //只统计isRoot[i]不为0的 62 } 63 } 64 printf("%d\n",ans); //输出集合个数 65 sort(isRoot+1,isRoot+n+1,cmp); 66 for(int i=1;i<=ans;i++){ //依次输出每个集合内的人数 67 printf("%d",isRoot[i]); 68 if(i<ans)printf(" "); 69 } 70 return 0; 71 }
原文地址:https://www.cnblogs.com/mxj961116/p/10586321.html