PAT A1037. Magic Coupon (25)

火星魔法券优化策略
本文介绍了一种关于如何使用带有正负数值的魔法券在火星商店中获取最大收益的算法。通过合理匹配商品价值与魔法券数值,实现利益最大化。
  1. Magic Coupon (25)

时间限制
100 ms
内存限制
65536 kB
代码长度限制
16000 B
判题程序
Standard
作者
CHEN, Yue
The magic shop in Mars is offering some magic coupons. Each coupon has an integer N printed on it, meaning that when you use this coupon with a product, you may get N times the value of that product back! What is more, the shop also offers some bonus product for free. However, if you apply a coupon with a positive N to this bonus product, you will have to pay the shop N times the value of the bonus product… but hey, magically, they have some coupons with negative N’s!

For example, given a set of coupons {1 2 4 -1}, and a set of product values {7 6 -2 -3} (in Mars dollars M)whereanegativevaluecorrespondstoabonusproduct.Youcanapplycoupon3(withNbeing4)toproduct1(withvalueM)whereanegativevaluecorrespondstoabonusproduct.Youcanapplycoupon3(withNbeing4)toproduct1(withvalueM7) to get M28back;coupon2toproduct2togetM28back;coupon2toproduct2togetM12 back; and coupon 4 to product 4 to get M3back.Ontheotherhand,ifyouapplycoupon3toproduct4,youwillhavetopayM3back.Ontheotherhand,ifyouapplycoupon3toproduct4,youwillhavetopayM12 to the shop.

Each coupon and each product may be selected at most once. Your task is to get as much money back as possible.

Input Specification:

Each input file contains one test case. For each case, the first line contains the number of coupons NC, followed by a line with NC coupon integers. Then the next line contains the number of products NP, followed by a line with NP product values. Here 1<= NC, NP <= 105, and it is guaranteed that all the numbers will not exceed 230.

Output Specification:

For each test case, simply print in a line the maximum amount of money you can get back.

Sample Input:
4
1 2 4 -1
4
7 6 -2 -3
Sample Output:
43

#include<cstdio>
#include<algorithm>
using namespace std;
const int maxn=1000000;
typedef long long ll;
int a[maxn];
int b[maxn];
int main(){
    int n,m;
    scanf("%d",&n);
    for(int i=0;i<n;i++){
        scanf("%d",a+i);
    }
    sort(a,a+n);
    scanf("%d",&m);
    for(int i=0;i<m;i++){
        scanf("%d",b+i);
    }
    sort(b,b+m);
    int i=0;
    int j=0;
    ll ans=0;
    while(i<n&&j<n&&a[i]<0&&b[j]<0){
        ans+=a[i]*b[j];
        i++;
        j++;
    }
    i=n-1;
    j=m-1;
    while(i>=0&&j>=0&&a[i]>0&&b[j]>0){
        ans+=a[i]*b[j];
        i--;
        j--;
    }
    printf("%lld",ans);
    return 0;
}

这里写图片描述

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