PAT甲级——A1037 Magic Coupon
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 − }, and a set of product values { 7 6 − − } (in Mars dollars M$) where a negative value corresponds to a bonus product. You can apply coupon 3 (with N being 4) to product 1 (with value M$7) to get M$28 back; coupon 2 to product 2 to get M$12 back; and coupon 4 to product 4 to get M$3 back. On the other hand, if you apply coupon 3 to product 4, you will have to pay M$12 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, 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 <vector>
#include <string>
#include <algorithm>
using namespace std;
//牛客这道题涉及数相乘会int溢出,而PAT没有,所以pat使用int类型就可以,而牛客需要使用longlong型
long long Nc, Np, p = , q = , a, res = ;
int main()
{
cin >> Nc;
vector<long>Vc, Vp;
for (int i = ; i < Nc; ++i)
{
cin >> a;
Vc.push_back(a);
}
cin >> Np;
for (int i = ; i < Np; ++i)
{
cin >> a;
Vp.push_back(a);
}
sort(Vc.begin(), Vc.end(), [](long long u, long long v) {return u < v; });
sort(Vp.begin(), Vp.end(), [](long long u, long long v) {return u < v; });
while (p < Nc&&q < Np&&Vc[p] < && Vp[q] < )//先负数相乘
{
res += Vc[p] * Vp[q];
++p;
++q;
}
p = Nc - ;
q = Np - ;
while (p >= & q >= && Vc[p] > && Vp[q] > )//正数从后开始乘
{
res += Vc[p] * Vp[q];
--p;
--q;
}
cout << res << endl;
return ;
}
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