J - 0 POJ - 1611 The Suspects

本文介绍了一个基于学生群体的SARS传播模拟问题,通过输入学生群体信息,程序能够识别所有潜在的SARS嫌疑人,使用并集查找算法进行高效处理。

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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

问题链接:https://vjudge.net/contest/279611#problem/J

问题分析:
0是患有艾滋病的,当与0一组的人都被认为是疑患艾滋病, 跟疑患艾滋病一组的人也被称为疑患艾滋病。 所以这是一题考查并集的。

AC代码如下:

#include<iostream>
using namespace std;
const int N = 30003;
int a[N];
int find(int x)
{
	while (x != a[x])
		x = a[x];
	return a[x];
}
void cmd(int x, int y)
{
	int e, f;
	e = find(x);
	f = find(y);
	if (e != f)
		a[e] = f;
}
int main()
{
	int n, m;
	int b, c, d;
	while (cin >> n >> m)
	{
		for (int i = 0; i < n; i++)
			a[i] = i;
		if (n==0 && m==0)
			continue;		
		int sum=0; 
		while (m--)
		{
			cin >> b;
			cin >> c;
			for (int i = 1; i < b; i++)
			{
				cin >> d;
				cmd(c, d);
			}
		}
		int p = find(0);
		for (int i = 0; i < n; i++)
			{
				if (p == find(i))
					sum++;
			}	
		cout << sum << endl;
	}
	return 0;
}
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