Graduate Admission
题目描述:
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.
- 输入:
-
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.
- 输出:
-
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.
- 样例输入:
-
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
- 样例输出:
-
0 10 3 5 6 7 2 8 1 4
1 #include <iostream> 2 #include <cstdio> 3 #include <cstdlib> 4 #include <cmath> 5 #include <cstring> 6 #include <cctype> 7 8 #include <vector> 9 #include <list> 10 #include <deque> 11 #include <string> 12 #include <algorithm> 13 #include <stack> 14 #include <queue> 15 #include <map> 16 #include <set> 17 18 using namespace std; 19 20 21 struct Re{ 22 23 int id; 24 int ge; 25 int gi; 26 27 double fg; 28 29 int ch[6]; 30 }; 31 32 vector<Re>vt; 33 34 35 36 37 int scho[100+4]; 38 39 40 41 42 bool cmp(Re x,Re y) 43 { 44 if(x.fg>y.fg) 45 return true; 46 else if(x.fg==y.fg) 47 { 48 if(x.ge>y.ge) 49 return true; 50 51 } 52 return false; 53 } 54 55 56 bool cmp2(Re x,Re y) 57 { 58 if(x.id<y.id) 59 return true; 60 return false; 61 62 63 } 64 65 vector<Re>vtt[100+4]; 66 67 68 69 int main() 70 { 71 72 73 74 int i,j,k; 75 int n,m; 76 77 while(scanf("%d%d%d",&n,&m,&k)!=EOF) 78 { 79 80 vt.clear(); 81 82 for(i=0;i<m;i++) 83 {vtt[i].clear();scanf("%d",&scho[i]);} 84 85 86 for(i=0;i<n;i++) 87 { 88 Re ans; 89 90 scanf("%d%d",&ans.ge,&ans.gi); 91 92 ans.id=i; 93 94 ans.fg=(ans.ge+ans.gi)*1.0/2; 95 96 for(j=0;j<k;j++) 97 { 98 scanf("%d",&ans.ch[j]); 99 } 100 101 102 vt.push_back(ans); 103 } 104 105 106 sort(vt.begin(),vt.end(),cmp); 107 108 109 for(i=0;i<n;i++) 110 { 111 112 for(j=0;j<k;j++) 113 { 114 int tar=vt[i].ch[j]; 115 116 if(scho[tar]>0) 117 { 118 vtt[tar].push_back(vt[i]); 119 scho[tar]--; 120 break; 121 122 } 123 else if(scho[tar]==0) 124 { 125 if(vtt[tar].size()==0) 126 continue; 127 128 vector<Re>::iterator it; 129 130 it=vtt[tar].end(); 131 it--; 132 133 if((it->fg==vt[i].fg)&&(it->ge==vt[i].ge)) 134 { 135 vtt[tar].push_back(vt[i]); 136 break; 137 } 138 } 139 } 140 } 141 142 143 for(i=0;i<m;i++) 144 { 145 sort(vtt[i].begin(),vtt[i].end(),cmp2); 146 147 148 int tag=0; 149 150 for(j=0;j<vtt[i].size();j++) 151 { 152 if(tag==0) 153 { 154 printf("%d",vtt[i][j].id); 155 tag=1; 156 } 157 else 158 { 159 printf(" %d",vtt[i][j].id); 160 } 161 } 162 printf("\n"); 163 } 164 165 } 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 return 0; 190 }