PAT甲级1055. The World's Richest (25)

富豪榜筛选算法
本文介绍了一个用于筛选特定年龄段内最富有人士的算法。该算法接收一系列输入数据,包括姓名、年龄及净资产,并能根据年龄范围输出指定数量的最富有人士名单。输出结果按净资产降序排列,相同净资产则按年龄升序排列,若姓名相同则按字母顺序排列。

Forbes magazine publishes every year its list of billionaires based on the annual ranking of the world’s wealthiest people. Now you are supposed to simulate this job, but concentrate only on the people in a certain range of ages. That is, given the net worth of N people, you must find the M richest people in a given range of their ages.
Input Specification:
Each input file contains one test case. For each case, the first line contains 2 positive integers: N (<=105) - the total number of people, and K (<=103) - the number of queries. Then N lines follow, each contains the name (string of no more than 8 characters without space), age (integer in (0, 200]), and the net worth (integer in [-106, 106]) of a person. Finally there are K lines of queries, each contains three positive integers: M (<= 100) - the maximum number of outputs, and [Amin, Amax] which are the range of ages. All the numbers in a line are separated by a space.
Output Specification:
For each query, first print in a line “Case #X:” where X is the query number starting from 1. Then output the M richest people with their ages in the range [Amin, Amax]. Each person’s information occupies a line, in the format
Name Age Net_Worth
The outputs must be in non-increasing order of the net worths. In case there are equal worths, it must be in non-decreasing order of the ages. If both worths and ages are the same, then the output must be in non-decreasing alphabetical order of the names. It is guaranteed that there is no two persons share all the same of the three pieces of information. In case no one is found, output “None”.

Sample Input:
12 4
Zoe_Bill 35 2333
Bob_Volk 24 5888
Anny_Cin 95 999999
Williams 30 -22
Cindy 76 76000
Alice 18 88888
Joe_Mike 32 3222
Michael 5 300000
Rosemary 40 5888
Dobby 24 5888
Billy 24 5888
Nobody 5 0
4 15 45
4 30 35
4 5 95
1 45 50
Sample Output:
Case #1:
Alice 18 88888
Billy 24 5888
Bob_Volk 24 5888
Dobby 24 5888
Case #2:
Joe_Mike 32 3222
Zoe_Bill 35 2333
Williams 30 -22
Case #3:
Anny_Cin 95 999999
Michael 5 300000
Alice 18 88888
Cindy 76 76000
Case #4:
None

#include <cstdio>
#include <vector>
#include <algorithm>
#include <cstring>
using namespace std;

struct Info{
    char name[9];
    int age;
    int net_worth;
};

bool compare(Info x,Info y){
    if(x.net_worth!=y.net_worth) return x.net_worth>y.net_worth;
    else if(x.age!=y.age) return x.age<y.age;
    else return strcmp(x.name,y.name)<0;
}

int main(){
    int N,K;
    scanf("%d %d",&N,&K);

    vector<Info> Rich(N),V;
    vector<int> Count(205,0);
    for(int i=0;i<N;i++){
        scanf("%s %d %d",&Rich[i].name,&Rich[i].age,&Rich[i].net_worth);
    }
    sort(Rich.begin(),Rich.end(),compare);

    /*
    每个query的output最多是100;
    如果某个年龄的富翁人数大于100,只取这个年龄的财富前100位;
    这样可以减少下面搜索的范围。 
    */
    for(int i=0;i<N;i++){
        if(Count[Rich[i].age]<=100){
            V.push_back(Rich[i]);
            Count[Rich[i].age]++;
        }
    }

    for(int i=0;i<K;i++){
        int M,Amin,Amax;
        scanf("%d %d %d",&M,&Amin,&Amax);

        vector<Info> Result;

        printf("Case #%d:\n",i+1);
        for(int j=0;j<V.size();j++){
            if(V[j].age>=Amin&&V[j].age<=Amax) Result.push_back(V[j]);
        }
        for(int m=0;m<M&&m<Result.size();m++){
            printf("%s %d %d\n",Result[m].name,Result[m].age,Result[m].net_worth);
        }
        if(Result.size()==0) printf("None\n");
    }

    return 0;
}
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