A1037 Magic Coupon (25)

摘要
Title: A1037 Magic Coupon (25)
Tag: 贪心
Memory Limit: 64 MB
Time Limit: 1000 ms

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A1037 Magic Coupon (25)

  • 题意

    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$) 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.

  • 思路

    分别对两个数组排序,从头开始正的乘正的,从尾开始负的乘负的

  • 代码

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    /*
    * @Author: NEFU AB-IN
    * @Date: 2023-01-08 19:04:34
    * @FilePath: \GPLT\A1037\A1037.cpp
    * @LastEditTime: 2023-01-08 19:21:51
    */
    #include <bits/stdc++.h>
    using namespace std;
    #define int long long
    // #undef int

    #define SZ(X) ((int)(X).size())
    #define ALL(X) (X).begin(), (X).end()
    #define IOS \
    ios::sync_with_stdio(false); \
    cin.tie(nullptr); \
    cout.tie(nullptr)
    #define DEBUG(X) cout << #X << ": " << X << '\n'
    typedef pair<int, int> PII;

    const int N = 1e5 + 10, INF = 0x3f3f3f3f;
    int nc, np;

    signed main()
    {
    IOS;
    cin >> nc;
    vector<int> c(nc);
    for (int i = 0; i < nc; ++i)
    cin >> c[i];
    cin >> np;
    vector<int> p(np);
    for (int i = 0; i < np; ++i)
    cin >> p[i];

    sort(ALL(c), greater<int>());
    sort(ALL(p), greater<int>());

    int res = 0;
    for (int i = 0, j = 0; i < nc && j < np && c[i] > 0 && p[j] > 0; ++i, ++j)
    {
    res += c[i] * p[j];
    }

    for (int i = nc - 1, j = np - 1; i >= 0 && j >= 0 && c[i] < 0 && p[j] < 0; --i, --j)
    {
    res += c[i] * p[j];
    }
    cout << res;

    return 0;
    }
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