【PAT 甲级】1012 The Best Rank (25)(结构体排序)

本文介绍了一个针对计算机专业一年级学生的成绩排名系统实现方案。该系统基于结构体排序算法,对学生在三门课程的成绩进行综合评估,并给出每位学生在各科目及平均成绩上的最佳排名。文章详细解释了排名算法的工作原理,并提供了完整的代码示例。

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题目链接

To evaluate the performance of our first year CS majored students, we consider their grades of three courses only: C - C Programming Language, M - Mathematics (Calculus or Linear Algebra), and E - English. At the mean time, we encourage students by emphasizing on their best ranks -- that is, among the four ranks with respect to the three courses and the average grade, we print the best rank for each student.

For example, The grades of C, M, E and A - Average of 4 students are given as the following:

StudentID  C  M  E  A
310101     98 85 88 90
310102     70 95 88 84
310103     82 87 94 88
310104     91 91 91 91

Then the best ranks for all the students are No.1 since the 1st one has done the best in C Programming Language, while the 2nd one in Mathematics, the 3rd one in English, and the last one in average.

Input

Each input file contains one test case. Each case starts with a line containing 2 numbers N and M (<=2000), which are the total number of students, and the number of students who would check their ranks, respectively. Then N lines follow, each contains a student ID which is a string of 6 digits, followed by the three integer grades (in the range of [0, 100]) of that student in the order of C, M and E. Then there are M lines, each containing a student ID.

Output

For each of the M students, print in one line the best rank for him/her, and the symbol of the corresponding rank, separated by a space.

The priorities of the ranking methods are ordered as A > C > M > E. Hence if there are two or more ways for a student to obtain the same best rank, output the one with the highest priority.

If a student is not on the grading list, simply output "N/A".

Sample Input

5 6
310101 98 85 88
310102 70 95 88
310103 82 87 94
310104 91 91 91
310105 85 90 90
310101
310102
310103
310104
310105
999999

Sample Output

1 C
1 M
1 E
1 A
3 A
N/A

思路:考察结构体排序,'A','C','M','E'对应的分数分别排序,取排名最高的那个,如果询问的ID不存在,输出N/A;否则输出最高的排名。

代码:

#include <iostream>
#include <sstream>
#include <string>
#include <cstdio>
#include <queue>
#include <cstring>
#include <map>
#include <cmath>
#include <vector>
#include <algorithm>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
const int N = 2e3+5;
const ll INF = 0x3f3f3f3f;
const double eps=1e-4;
const int T=3;

struct Node {
    int score[4];
    int rank[4];
    int bestRankIndex;
    int id;
} a[N];
int flag=-1;
map<int,int>mp;
char str[]= {'A','C','M','E'};
bool cmp(Node a,Node b) {
    return a.score[flag]>b.score[flag];
}
int main() {
    int n,m;
    mp.clear();
    cin>>n>>m;
    for(int i=0; i<n; i++) {
        cin>>a[i].id>>a[i].score[1]>>a[i].score[2]>>a[i].score[3];
        a[i].score[0]=ceil((a[i].score[1]+a[i].score[2]+a[i].score[3])/3);
    }
    for(flag=0; flag<4; flag++) {
        sort(a,a+n,cmp);
        a[0].rank[flag]=1;
        for(int i=1; i<n; i++) {
            if(a[i].score[flag]==a[i-1].score[flag]) {
                a[i].rank[flag]=i;
            } else
                a[i].rank[flag]=i+1;
        }
    }
    for(int index=0; index<n; index++) {
        int rkIndex=0;
        for(int j=1; j<4; j++) {
            if(a[index].rank[j]<a[index].rank[rkIndex]) {
                rkIndex=j;
            }
        }
        a[index].bestRankIndex=rkIndex;
        mp[a[index].id]=index;
    }
    int x;
    while(m--) {
        cin>>x;
        if(mp.count(x)) {
            int index=a[mp[x]].bestRankIndex;
            cout<<a[mp[x]].rank[index]<<" "<<str[index];
        } else {
            cout<<"N/A";
        }
        cout<<endl;
    }
    return 0;
}

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