1080. Graduate Admission (30)

It is said that in 2013, there were about 100 graduate schools ready to proceed over 40,000 applications in Zhejiang Province. It would help a lot if you could write a program to automate the admission procedure.

Each applicant will have to provide two grades: the national entrance exam grade G_E, and the interview grade G_I. The final grade of an applicant is (G_E + G_I) / 2. The admission rules are:

• The applicants are ranked according to their final grades, and will be admitted one by one from the top of the rank list.
• If there is a tied final grade, the applicants will be ranked according to their national entrance exam grade G_E. If still tied, their ranks must be the same.
• Each applicant may have K choices and the admission will be done according to his/her choices: if according to the rank list, it is one's turn to be admitted; and if the quota of one's most preferred shcool is not exceeded, then one will be admitted to this school, or one's other choices will be considered one by one in order. If one gets rejected by all of preferred schools, then this unfortunate applicant will be rejected.
• If there is a tied rank, and if the corresponding applicants are applying to the same school, then that school must admit all the applicants with the same rank, even if its quota will be exceeded.

Input Specification:

Each input file contains one test case. Each case starts with a line containing three positive integers: N (<=40,000), the total number of applicants; M (<=100), the total number of graduate schools; and K (<=5), the number of choices an applicant may have.

In the next line, separated by a space, there are M positive integers. The i-th integer is the quota of the i-th graduate school respectively.

Then N lines follow, each contains 2+K integers separated by a space. The first 2 integers are the applicant's G_E and G_I, respectively. The next K integers represent the preferred schools. For the sake of simplicity, we assume that the schools are numbered from 0 to M-1, and the applicants are numbered from 0 to N-1.

Output Specification:

For each test case you should output the admission results for all the graduate schools. The results of each school must occupy a line, which contains the applicants' numbers that school admits. The numbers must be in increasing order and be separated by a space. There must be no extra space at the end of each line. If no applicant is admitted by a school, you must output an empty line correspondingly.

Sample Input:

11 6 3
2 1 2 2 2 3
100 100 0 1 2
60 60 2 3 5
100 90 0 3 4
90 100 1 2 0
90 90 5 1 3
80 90 1 0 2
80 80 0 1 2
80 80 0 1 2
80 70 1 3 2
70 80 1 2 3
100 100 0 2 4

Sample Output:

0 10
3
5 6 7
2 8

1 4

解题思路：本题是对学生报志愿的过程进行模拟，初始成绩Ge，面试成绩Gi,即考生填报的志愿，志愿之间有先后关系。题目给出每个学校招生数，学生根据考生成绩排名及志愿来选择学校。题目中有个重要的点：如果学校已经招满，但所招收学生最后一名成绩排名和当前学生排名一样，此时学校也需要招收该学生。

#include<iostream>
#include<cstdio>
#include<vector>
#include<algorithm>
using namespace std;
struct schools{
	vector<int>admit;
	int lastrank;
	int quota;
}; 
struct student{
	vector<int>applicant;
	int Ge;
	int Gi;
	int Gsum;
	int rank;
	int id;
};
bool cmp(student s1,student s2){
	if(s1.Gsum>s2.Gsum)return true;
	else if(s1.Gsum==s2.Gsum&&s1.Ge>s2.Ge)return true;
	return false;
}
vector<schools>vt_sch;
vector<student>vt_stu;
int main(){
	int n,m,k;
	scanf("%d%d%d",&n,&m,&k);
	vt_sch.resize(m);
	vt_stu.resize(n);
	int i,j;
	for(i=0;i<m;i++){
		scanf("%d",&vt_sch[i].quota);
	}
	for(i=0;i<n;i++){
		int Ge,Gi;
		vt_stu[i].id=i;
		scanf("%d%d",&Ge,&Gi);
		vt_stu[i].Ge=Ge;
		vt_stu[i].Gi=Gi;
		vt_stu[i].Gsum=Ge+Gi;
		for(j=0;j<k;j++){
			int val;
			scanf("%d",&val);
			vt_stu[i].applicant.push_back(val);
		}
	}
	sort(vt_stu.begin(),vt_stu.end(),cmp);
	int rank=1;
	int Gsum = vt_stu[0].Gsum;
	int Ge = vt_stu[0].Ge;
	int add=0;
	for(i=0;i<n;i++){
		if(vt_stu[i].Gsum==Gsum&&vt_stu[i].Ge==Ge){
			vt_stu[i].rank=rank;
			add++;
		}else{
			rank+=add;
			vt_stu[i].rank=rank;
			add=1;
			Gsum=vt_stu[i].Gsum;
			Ge=vt_stu[i].Ge;
		}
	}
	for(i=0;i<n;i++){
		vector<int>cur=vt_stu[i].applicant;
		int size = cur.size();
		for(j=0;j<size;j++){
			if(vt_sch[cur[j]].quota>0){
				vt_sch[cur[j]].admit.push_back(vt_stu[i].id);
				vt_sch[cur[j]].lastrank=vt_stu[i].rank;
				vt_sch[cur[j]].quota--;
				break;
			}else if(vt_sch[cur[j]].lastrank==vt_stu[i].rank){
				vt_sch[cur[j]].admit.push_back(vt_stu[i].id);
				break;
			}
		}
	}
	for(i=0;i<m;i++){
		vector<int>res = vt_sch[i].admit;
		int size = res.size();
		if(size == 0){
			printf("
");
		}else{
			sort(res.begin(),res.end());
			for(j=0;j<size;j++){
				printf("%d",res[j]);
				if(j+1==size){
					printf("
");
				}else{
					printf(" ");
				}
			}
		}
	}
	return 0;
}