Girls and Boys
Time Limit: 20000/10000 MS (Java/Others)Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 8104Accepted Submission(s): 3711
Problem Description
the second year of the university somebody started a study on the romantic relations between the students. The relation “romantically involved” is defined between one girl and one boy. For the study reasons it is necessary to find out the maximum set satisfying the condition: there are no two students in the set who have been “romantically involved”. The result of the program is the number of students in such a set.The input contains several data sets in text format. Each data set represents one set of subjects of the study, with the following description:the number of studentsthe description of each student, in the following formatstudent_identifier:(number_of_romantic_relations) student_identifier1 student_identifier2 student_identifier3 …orstudent_identifier:(0)The student_identifier is an integer number between 0 and n-1, for n subjects.For each given data set, the program should write to standard output a line containing the result.
Sample Input
70: (3) 4 5 61: (2) 4 62: (0)3: (0)4: (2) 0 15: (1) 06: (2) 0 130: (2) 1 21: (1) 02: (1) 0
Sample Output
52
Source
题意就个人来看不是太明确，就不再叙述题意。
考察知识点：二分图最大独立集＝顶点数－最大匹配数。
不过此题尚有一些未清楚。。。
如下：
/*****************************************************************************考察知识点：匈牙利算法模板，二分图最大独立集=顶点数-最大匹配数 题意不好理解是关键。。。。 这道题的疑问之处在于题意(求最大匹配数 还是 所有的人组成了多少的组合，，有关系的并为一组 ？)，另外一点是数据的范围，有人说最大到500，到底为何？ *****************************************************************************/#include<stdio.h>#include<string.h>#define inf 500int used[inf],girl[inf];int line[inf][inf];int n,m;int find(int x){int j;for(j=0;j<n;++j){if(!used[j]&&line[x][j]){used[j]=1;if(!girl[j]||find(girl[j])){girl[j]=x;return 1;}}}return 0;}int main(){int a,b;while(~scanf("%d",&n)){memset(used,0,sizeof(used));memset(line,0,sizeof(line));memset(girl,0,sizeof(girl));for(int i=0;i<n;++i){scanf("%d: (%d)",&a,&m);while(m–){scanf("%d",&b);line[a][b]=1;}}int count=0;for(int i=0;i<n;++i){memset(used,0,sizeof(used));if(find(i))count++;}printf("%d\n",n-count/2);}return 0;}
最糟糕的行为是抱怨，最易见效 的努力是从自己做起。
