1. 程式人生 > >POJ - 1469 COURSES [二分圖匈牙利算法]

POJ - 1469 COURSES [二分圖匈牙利算法]

blog i++ win mine str ble max ets ...

COURSES
Time Limit: 1000MS Memory Limit: 10000K
Total Submissions: 24919 Accepted: 9679

Description

Consider a group of N students and P courses. Each student visits zero, one or more than one courses. Your task is to determine whether it is possible to form a committee of exactly P students that satisfies simultaneously the conditions:

  • every student in the committee represents a different course (a student can represent a course if he/she visits that course)
  • each course has a representative in the committee

Input

Your program should read sets of data from the std input. The first line of the input contains the number of the data sets. Each data set is presented in the following format:

P N
Count1 Student1 1 Student1 2 ... Student1 Count1
Count2 Student2 1 Student2 2 ... Student2 Count2
...
CountP StudentP 1 StudentP 2 ... StudentP CountP

The first line in each data set contains two positive integers separated by one blank: P (1 <= P <= 100) - the number of courses and N (1 <= N <= 300) - the number of students. The next P lines describe in sequence of the courses ?from course 1 to course P, each line describing a course. The description of course i is a line that starts with an integer Count i (0 <= Count i <= N) representing the number of students visiting course i. Next, after a blank, you抣l find the Count i students, visiting the course, each two consecutive separated by one blank. Students are numbered with the positive integers from 1 to N.
There are no blank lines between consecutive sets of data. Input data are correct.

Output

The result of the program is on the standard output. For each input data set the program prints on a single line "YES" if it is possible to form a committee and "NO" otherwise. There should not be any leading blanks at the start of the line.

Sample Input

2
3 3
3 1 2 3
2 1 2
1 1
3 3
2 1 3
2 1 3
1 1

Sample Output

YES
NO

Source

Southeastern Europe 2000 題意: P門課N個學生 列出每門課有幾個學生上 現在每門課要有課代表,問你可不可以為每門課找到課代表。並且每個學生只能當一門課程的課代表。 做法: 裸*匈牙利算法
 1 #include<iostream>
 2 using namespace std;
 3 #include<cstdio>
 4 #include<cstring>
 5 #include<vector>
 6 const int maxn = 1000;
 7 vector <int> maps[maxn];
 8 int n,m;
 9 int ok[maxn];//ok[i]代表第i個節點可否配對 
10 int matched[maxn];//matched[i]代表第i個節點的配對對象 
11 bool match(int x){
12     for(int i=0;i<maps[x].size();i++){
13         int k = maps[x][i];
14         if(ok[k]==0){
15             ok[k]=1;
16             if(matched[k]==0||match(matched[k])==true){
17                 matched[k]=x;
18                 return true;
19             }
20         }
21     }
22     return false;
23 }
24 int main(){
25     int t;
26     scanf("%d",&t);
27     while(t--&&scanf("%d%d",&n,&m)!=EOF){
28         memset(matched,0,sizeof(matched));
29         for(int i=0;i<=n;i++)
30             maps[i].clear();
31         for(int i=1;i<=n;i++){
32             int k;
33             scanf("%d",&k);
34             for(int j=0;j<k;j++){
35                 int p;
36                 scanf("%d",&p);
37                 maps[i].push_back(p);
38             }
39         }
40         int ans = 0;
41         for(int i=1;i<=n;i++){
42             memset(ok,0,sizeof(ok));
43             if(match(i)==true)
44                 ans+=1;
45         }
46         if(ans==n){
47             printf("YES\n");
48         }
49         else
50             printf("NO\n");
51     }
52     return 0;
53 }

POJ - 1469 COURSES [二分圖匈牙利算法]