題目1005：Graduate Admission 時間限制：1 秒內存限制：32 兆特殊判題：否提交：2265解決：647 題目描述： It is said that in 2011, there are 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 GE, and the interview grade GI. The final grade of an applicant is (GE + GI) / 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 GE. 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. 輸入： Each input file may contain more than 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 GE and GI, 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. 輸出： 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. 樣例輸入： 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 樣例輸出： 0 10 3 5 6 7 2 8 1 4 [cpp] //學校錄取人數可能是0 #include <stdio.h> #include <stdlib.h> #include <string.h> struct Applicant { int id;//要排序 記下學生號 int GE;//the national entrance exam grade int GF;//最後成績 由（GI+GE）/2得出（the interview grade GE） int Choices[5]; }Applicants[40000]; struct School { int Quota;//招生限額 int Recruited;//已招人數 int AppNum[100]; //已招學生號 }Schools[100]; int cmp(const void *a,const void *b); int cmp2(const void *a,const void *b); int CopyApps[40000][2];//記下學生號（即對應的下標）與對應的GF，GE int main() { int AppNum,SchNum,ChoiceNum; int GI,i,j; while(scanf("%d%d%d",&AppNum,&SchNum,&ChoiceNum)!=EOF) { //Schools[100]={0,0,0}; for(i=0; i<SchNum; i++) Schools[i].Recruited=0; //數據讀入 for(i=0; i<SchNum; i++) scanf("%d",&Schools[i].Quota); for(i=0; i<AppNum; i++) { scanf("%d%d",&Applicants[i].GE,&GI); Applicants[i].GF=(Applicants[i].GE+GI)/2; for(j=0; j<ChoiceNum; j++) scanf("%d",&Applicants[i].Choices[j]); Applicants[i].id=i; CopyApps[i][0]=Applicants[i].GE; CopyApps[i][1]=Applicants[i].GF; } //按GF排序 再按GE排序 qsort(Applicants,AppNum,sizeof(Applicant),cmp); //按排名安排學校 for(i=0; i<AppNum; i++) { for(j=0; j<ChoiceNum; j++) { //按選擇學校先後選學校 int sch=Applicants[i].Choices[j]; if(Schools[sch].Quota==0)//志願學校不收學生 continue; else if(Schools[sch].Quota>Schools[sch].Recruited) { Schools[sch].AppNum[Schools[sch].Recruited++]=Applicants[i].id; break;//選定學校 繼續下一個學生 } else if(Applicants[i].GF==CopyApps[Schools[sch].AppNum[Schools[sch].Recruited-1]][1] && Applicants[i].GE==CopyApps[Schools[sch].AppNum[Schools[sch].Recruited-1]][0] ) { Schools[sch].AppNum[Schools[sch].Recruited++]=Applicants[i].id; break; } } } for(i=0; i<SchNum; i++) { if(Schools[i].Recruited)//如果招到人 { qsort(Schools[i].AppNum,Schools[i].Recruited,sizeof(int),cmp2); printf("%d",Schools[i].AppNum[0]); for(j=1; j<Schools[i].Recruited; j++) { printf(" %d",Schools[i].AppNum[j]); } } printf("\n"); } } return 0; } //結構體二級排序 先按GF 再按GE 降序 int cmp(const void *a,const void *b) { Applicant *app1=(Applicant*)a; Applicant *app2=(Applicant*)b; if(app1->GF != app2->GF) return app2->GF-app1->GF; else return app2->GE-app1->GE; } int cmp2(const void *a,const void *b) { return *((int*)a)-*((int*)b); } /************************************************************** Problem: 1005 User: windzhu Language: C++ Result: Accepted Time:10 ms Memory:2616 kb ****************************************************************/
