poj 1611 The Suspects 并查集

Posted 2020-06-30 行尸走肉

The Suspects

Time Limit: 1000MS		Memory Limit: 20000K
Total Submissions: 30522		Accepted: 14836

Description

Severe acute respiratory syndrome (SARS), an atypical pneumonia of unknown aetiology, was recognized as a global threat in mid-March 2003. To minimize transmission to others, the best strategy is to separate the suspects from others. 
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.

Input

The input file contains several cases. Each test case begins with two integers n and m in a line, where n is the number of students, and m is the number of groups. You may assume that 0 < n <= 30000 and 0 <= m <= 500. Every student is numbered by a unique integer between 0 and n−1, and initially student 0 is recognized as a suspect in all the cases. This line is followed by m member lists of the groups, one line per group. Each line begins with an integer k by itself representing the number of members in the group. Following the number of members, there are k integers representing the students in this group. All the integers in a line are separated by at least one space. 
A case with n = 0 and m = 0 indicates the end of the input, and need not be processed.

Output

For each case, output the number of suspects in one line.

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

#include<iostream>
#include<stdio.h>
#define max1 30005
using namespace std;
int pa[max1];
int find(int a)
{
    while(a!=pa[a])
    {
        pa[a]=pa[pa[a]];
        a=pa[a];
    }
    return a;
}
void bild(int a,int b)
{
    int fa=find(a);
    int fb=find(b);
    if(fa!=fb)
    {
        pa[fb]=fa;
    }
}
int main()
{
    int n,m;
    while((scanf("%d%d",&n,&m))&&(n+m!=0))
    {
        for(int i=0;i<n;i++)
        {
            pa[i]=i;
        }

        for(int i=0;i<m;i++)
        {
            int p1,p2;
            int t;
            cin>>t>>p1;
            for(int j=0;j<t-1;j++)
            {
                cin>>p2;
                bild(p1,p2);
            }
        }
        int ans=1;
        for(int i=1;i<n;i++)
        {
            if(find(0)==find(i)) ans++;
        }
        cout<<ans<<endl;
    }
    return 0;
}

View Code

这个我昨天写过博客了，但是今天做了一点点改动，就是根节点的设定变成任意的了，这样在最后搜索的时候要查找所有和 0  的根节点相同的节点。最后注意一点的是，0号同学也是一个人，不要忘了把他算入最后的结果里面去。

Sample Output

4
1
1