1037. Magic Coupon (25)

本文介绍了一个关于如何在火星上的魔法商店通过合理搭配使用正负数值的优惠券和商品价值来最大化返现金额的问题。顾客可以利用算法找到最优组合。

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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(withvalueM7) to get M28back;coupon2toproduct2togetM12 back; and coupon 4 to product 4 to get M3back.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<iostream>
#include<algorithm>
using namespace std;
int c[100005],p[100005];
int main(){
    freopen("in.txt","r",stdin);
    int nc,np;
    cin>>nc;
    for(int i=0;i<nc;i++)
        cin>>c[i];
    cin>>np;
    for(int i=0;i<np;i++)
        cin>>p[i];
    sort(c,c+nc);
    sort(p,p+np);
    int k1=0,k2=0,e1=nc-1,e2=np-1,ans=0;

    while(c[k1]<0&&p[k2]<0){
            ans+=c[k1]*p[k2];
            k1++,k2++;
            if(k1==nc||k2==np) break;
    }       
    k1=nc-1,k2=np-1;
    while(c[k1]>0&&p[k2]>0){
            ans+=c[k1]*p[k2];
            k1--,k2--;
            if(k1==-1||k2==-1) break;
    }
    cout<<ans<<endl;

    return 0;
}
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