poj1611The Suspects

本文介绍了一个经典的并查集题目,通过并查集算法解决学生群体中疑似病例的快速识别问题。输入包括学生数量及各群体成员列表,输出为疑似群体的总人数。

题目是一个很裸的并查集,但是是一个比较典型的并查集题目吧。。保存下来以便日后复习。。

题目如下:http://poj.org/problem?id=1611

The Suspects
Time Limit: 1000MS Memory Limit: 20000K
Total Submissions: 20691 Accepted: 10029

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

Sample Output

4
1
1

Source

#include<cstdio>
int root[30005],count[30005];

void merge(int a,int b)
{
   if(a==b)
     return ;
     else if(count[a]>=count[b])
     {
     	root[b]=a;
     	count[a]+=count[b];
     }
     	else
     	 {
     	 	root[a]=b;
     	 	count[b]+=count[a];
         }
}

int findroot(int x)
{
    if(root[x]!=x)
        root[x]=findroot(root[x]);
    return root[x];
}

int main()
{
    int  n,m,a,b,i,sum;
    int  fx,fy,ans;
    while(scanf("%d%d",&n,&m)==2&&(m||n))
    {
        for(i=0;i<n;i++)
        {
            root[i]=i;
            count[i]=1;
        }
     while(m--)
      {
          scanf("%d",&sum);
          scanf("%d",&a);
          for(i=1;i<sum;i++)
          {
              scanf("%d",&b);
              fx=findroot(a);
              fy=findroot(b);
              merge(fx,fy);
          }
      }
        ans=findroot(0);
        printf("%d\n",count[ans]);
    }
    return 0;
}





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