In the Not-Spreading-Your-Sickness University (NSYSU), there are many student groups. Students in the same group intercommunicate with each other frequently, and a student may join several groups. To prevent the possible transmissions of SARS, the NSYSU collects the member lists of all student groups, and makes the following rule in their standard operation procedure (SOP).
Once a member in a group is a suspect, all members in the group are suspects.
However, they find that it is not easy to identify all the suspects when a student is recognized as a suspect. Your job is to write a program which finds all the suspects.
A case with n = 0 and m = 0 indicates the end of the input, and need not be processed.
Sample Input
100 4 2 1 2 5 10 13 11 12 14 2 0 1 2 99 2 200 2 1 5 5 1 2 3 4 5 1 0 0 0
Sample Output
4 1
1
思路:题目要求含0树的节点个数。把每个小组的人都进行关联,先取出每组第一个人,把第一个人和剩下k-1个人unite一下,就把关联的人全部生成一个树。这样就会生成>=1个树。其中用cnt数组记录每次unite后根节点的节点数。最后输出0对应的根节点的cnt数,OVER!
#include <stdio.h> int parent[30005]; //用来记录父亲节点 int cnt [30005]; // 记录根节点的节点数 int n; int group; int find(int x) { return (parent[x]==x)?x:parent[x]=find(parent[x]); } void unite(int x,int y) { x=find(x); y=find(y); if(x!=y) { parent[y]=x; cnt[x]+=cnt[y]; //这里是解题的关键,我还得再思考一下。 } } void init() { for(int i=0;i<n;i++) { parent[i]=i; cnt[i]=1; } } int main(void) { while((scanf("%d%d",&n,&group))==2) { if(n==0 && group == 0) return 0; init(); for(int i=0;i<group;i++) { int num; scanf("%d",&num); int temp; scanf("%d",&temp); for(int j=2;j<=num;j++) { int temp1; scanf("%d",&temp1); unite(temp,temp1); } } printf("%d\n",cnt[find(0)]); } }