UVA 1197 The Suspects (并查集)

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

题意:

给定n个人(编号从0到n - 1),给定m个集合

0号为嫌疑犯,与0属于同一个集合的人均属于嫌疑犯

求n个人中有多少嫌疑犯

 AC Code:

#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#define Mod 1000000007
#define INF 0x3f3f3f3f
typedef long long ll;
using namespace std;
static const int MAX_N = 30005;
int n, m;
int pre[MAX_N];
void init() {	//并查集初始化
	for (int i = 0; i < n; i++) {
		pre[i] = i;
	}
}
int Find(int x) {
	if (pre[x] != x) {
		pre[x] = Find(pre[x]);
	}
	return pre[x];
}
void Union(int x, int y) {
	int fx = Find(x), fy = Find(y);
	if (fx != fy) {
		pre[fx] = fy;
	}
}
int main() {
	while (scanf("%d%d", &n, &m) != EOF) {
		if (n == 0 && m == 0) break;
		init();
		for (int i = 0; i < m; i++) {
			int k, head;
			scanf("%d%d", &k, &head);	//默认第一个人为集合key
			for (int j = 1; j < k; j++) {
				int u;
				scanf("%d", &u);
				Union(u, head);
			}
		}
		int res = 0;
		for (int i = 0; i < n; i++) {
			if (Find(i) == pre[0]) {
				res++;
			}
		}
		printf("%d\n", res);
	}
}

 

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