The Suspects (并查集的应用)

本文介绍了一种用于模拟SARS传播的算法,该算法通过学生群体间的交互来确定潜在的感染嫌疑人。考虑到群体内的频繁交流可能导致病毒传播,文章提供了一个程序实例,用于计算当某个学生被确认为疑似病例时,所有可能的接触者。

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<div class="ptt" lang="en-US">                                                                                                                                  
</div><div class="plm"><table align="center"><tbody><tr><td><strong>Time Limit:</strong> 1000MS</td><td width="10px"> </td><td><strong>Memory Limit:</strong> 20000K</td></tr><tr><td><strong>Total Submissions:</strong> 33094</td><td width="10px"> </td><td><strong>Accepted:</strong> 16041</td></tr></tbody></table></div><p class="pst">Description</p><div class="ptx" lang="en-US">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.</div><p class="pst">Input</p><div class="ptx" lang="en-US">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.</div><p class="pst">Output</p><div class="ptx" lang="en-US">For each case, output the number of suspects in one line.</div><p class="pst">Sample Input</p><pre class="sio">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


#include<stdio.h>int pre[51100];int sum[51100];int find( int x){ if( x != pre[x]) pre[x]=find(pre[x]); return pre[x];}void join(int x,int y){ int dx = find(x); int dy = find(y); if(dx != dy) { pre[dx] =dy; sum[dy]+=sum[dx]; }}int main(){ int n,m,i,j,k,l; while(~scanf("%d%d",&n,&m)) { int a,b,c; if(m==0&&n==0) break; for(i=0;i<n;i++) { pre[i]=i; sum[i]=1; } for( i = 1; i <=m; i++) { scanf("%d%d",&a,&b); for(j=1;j<a; j++) { scanf("%d",&c); join(b,c); } } printf("%d\n",sum[find(0)]); } return 0;//血的教训    记住加return 0;}


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