OJ：The Suspects（C++）

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我是靠谱客的博主激动大白，最近开发中收集的这篇文章主要介绍OJ：The Suspects（C++），觉得挺不错的，现在分享给大家，希望可以做个参考。

概述

描述

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.

输入

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.

输出

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

样例输入

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

样例输出

4
1
1

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思路：就是在一个数字序列中，把与0是同一集合的数字区分出来。用并查集做，每个小组都连成边，每条边用root区分，最后遍历一遍，与0的root相同的就是被感染者。

#include<stdlib.h>
#include<stdio.h>
#include<algorithm>
#include<cstring>
#include<iostream>
#include<iomanip> 
using namespace std;
int a[30000];int b[30000];
int find(int root){
	while(root!=a[root]) root = a[root];
	return root;
}
void Union(int aa,int bb){
	int x = find(aa);
	int y = find(bb);
	if(x!=y)
       a[y] = x;
}
int main(){
	int n=1,m=1,k;int sum=0;
	while(true){
		(cin>>n>>m).get();
		if(n==0&&m==0) return 0;
		for(int i=0;i<n;i++){
		a[i] = i; //开始每个学生自成一组 
	}
	for(int i=0;i<m;i++){
		(cin>>k).get();
		for(int j=0;j<k;j++)
			(cin>>b[j]).get();
		for(int l=1;l<k;l++) {
		Union(b[l-1],b[l]);
	}}
	for(int i=0;i<n;i++){
		if(find(a[0])==find(a[i])){
		sum=sum+1;}
	}
	cout<<sum<<endl;
	sum = 0;memset(a,0,sizeof(a));
}
}