poj 1611(并查集)

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题目:

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

题解:0童鞋有SARS病,和0在一个社团的童鞋都要被隔离,用并查集解题,数组pa[x]存储x的父亲结点,用数组s[x]储存x所在集合的元素数量,然后输出0童鞋所在集合的元素数量就可以了。

#include <stdio.h>const int N = 30005;int pa[N],m,n,s[N];void init(){ //初始化    scanf("%d%d",&n,&m);    for(int i = 0;i < n;i++){        pa[i] = i;        s[i] = 1;    }}int get_parent(int x){ //查找父亲结点    return pa[x] == x ? x : get_parent(pa[x]);}void merge(int x,int y){ //合并集合    int px = get_parent(x);    int py = get_parent(y);    if(px != py){        pa[px] = pa[py];        s[py] += s[px];    }}int main(){    while(1){        init();        if(m==0 && n==0)            break;        int t,first,c;        for(int i = 0;i < m;i++){            scanf("%d%d",&t,&first);            for(int j = 1;j < t;j++){                scanf("%d",&c);                merge(first,c);            }        }        int x = get_parent(0);        printf("%d\n",s[x]);    }    return 0;}


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