1611 The Suspects 并查集

SARS传播模拟算法

最新推荐文章于 2021-08-08 15:45:58 发布

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本文介绍了一种通过学生群体间关系来模拟SARS潜在传播范围的算法。该算法使用并查集实现，针对每个已知感染者所在的群体进行成员标记，以此来确定所有潜在的感染人群。

The Suspects

Time Limit: 1000MS		Memory Limit: 20000K
Total Submissions: 7748		Accepted: 3674

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

Asia Kaohsiung 2003

#include<stdio.h>
int n,m,k;
int father[30010],num[30010];
int getfather(int x)
{
    if(x!=father[x]) father[x]=getfather(father[x]);
    return father[x];
}
void Union(int a,int b)
{
    a=getfather(a);
    b=getfather(b);
    if(a==b)
    return;
    if(num[a]<num[b])
    {
        father[a]=b;
        num[b]+=num[a];
    }
    else
    {
        father[b]=a;
        num[a]+=num[b];
    }
}
int main()
{
    while(scanf("%d%d",&n,&m)!=EOF)
    {
        if(n==0&&m==0) break;
        for(int i=0;i<n;i++)
        {
            father[i]=i;
            num[i]=1;
        }
        while(m--)
        {
            int x;
            scanf("%d",&k);
            scanf("%d",&x);
            for(int i=2;i<=k;i++)
            {
                  int y;
                  scanf("%d",&y);
                  Union(x,y);
            }
        }
        printf("%d/n",num[getfather(0)]);
    }
    return 0;
}