The Suspects
| Time Limit: 1000MS | Memory Limit: 20000K | |
| Total Submissions: 48327 | Accepted: 23122 |
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.
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.
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：有n个点和m个点集，每个点集有k个点，每个点集中的个点可以相连，求与0相连的点的个数（包括0）。
#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <math.h>
#include <limits.h>
#include <map>
#include <stack>
#include <queue>
#include <vector>
#define ll long long
#define INF 0x3f3f3f3f
const int maxn=1e5+10;
int a[maxn];
int sum[maxn];
int ans;
int n,m;
int k,x,y;
int find(int x)
{
if(x!=a[x])
{
return find(a[x]);
}
return a[x];
}
void join(int x,int y)
{
int dx=find(x);
int dy=find(y);
//对dx（或dy）所在的点集进行个数统计
if(dx!=dy)
{
a[dy]=dx;
sum[dx]+=sum[dy];
}
}
int main(int argc, char const *argv[])
{
while(std::cin>>n>>m&&n||m)
{
memset(a,0,sizeof(a));
memset(sum,0,sizeof(sum));
ans=1;
for(int i=0;i<n;i++)
{
sum[i]=1;
a[i]=i;
}
while(m--)
{
std::cin>>k;
std::cin>>x;
k--;
while(k--)
{
std::cin>>y;
join(x,y);
}
}
//输出0所在点集的个数
std::cout<<sum[find(0)]<<std::endl;
}
return 0;
}