I'm Telling the Truth（二分图最大匹配） HDU - 3729

After this year’s college-entrance exam, the teacher did a survey in his class on students’ score. There are n students in the class. The students didn’t want to tell their teacher their exact score; they only told their teacher their rank in the province (in the form of intervals).

After asking all the students, the teacher found that some students didn’t tell the truth. For example, Student1 said he was between 5004th and 5005th, Student2 said he was between 5005th and 5006th, Student3 said he was between 5004th and 5006th, Student4 said he was between 5004th and 5006th, too. This situation is obviously impossible. So at least one told a lie. Because the teacher thinks most of his students are honest, he wants to know how many students told the truth at most.

InputThere is an integer in the first line, represents the number of cases (at most 100 cases). In the first line of every case, an integer n (n <= 60) represents the number of students. In the next n lines of every case, there are 2 numbers in each line, X _i and Y _i (1 <= X _i <= Y _i <= 100000), means the i-th student’s rank is between X _i and Y _i, inclusive.

OutputOutput 2 lines for every case. Output a single number in the first line, which means the number of students who told the truth at most. In the second line, output the students who tell the truth, separated by a space. Please note that there are no spaces at the head or tail of each line. If there are more than one way, output the list with maximum lexicographic. (In the example above, 1 2 3;1 2 4;1 3 4;2 3 4 are all OK, and 2 3 4 with maximum lexicographic)

Sample Input

2
4
5004 5005
5005 5006
5004 5006
5004 5006
7
4 5
2 3
1 2
2 2
4 4
2 3
3 4

Sample Output

3
2 3 4
5
1 3 5 6 7

题意：较好理解

分析：二分图匈牙利匹配

 

AC代码：

#include<iostream>
#include<cstring>
#include<cstdio>
#include<algorithm>
using namespace std;
const int maxn = 1e5+10;
#define LL long long
#define INF 0x3f3f3f3f
int T,n;
struct node{
    int x,y;
}Node[70];
int vis[maxn];
int match[maxn],res[maxn];

bool Found(int p){
    for(int i=Node[p].x;i<=Node[p].y;i++){
        if(!vis[i]){
            vis[i]=1;
            if(res[i]==0||Found(res[i])){
                res[i]=p;
                match[p]=i;
                return 1;
            }
        }
    }
    return 0;
}

int main(){
    scanf("%d",&T);
    while(T--){
        memset(match,0,sizeof(match));
        memset(res,0,sizeof(res));
        scanf("%d",&n);
        for(int i=1;i<=n;i++) scanf("%d%d",&Node[i].x,&Node[i].y);
        int ans=0;
        for(int i=n;i>=1;i--){
            memset(vis,0,sizeof(vis));
            if(Found(i)) ans++;
        }
        printf("%d\n",ans);

        for(int i=1;i<=n;i++){
            if(match[i]) {
                ans--;
                printf("%d%c",i,ans==0?'\n':' ');
            }
        }
    }



    return 0;
}
/*
2
4
5004 5005
5005 5006
5004 5006
5004 5006
7
4 5
2 3
1 2
2 2
4 4
2 3
3 4
*/