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.
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
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这道题也没什么技术含量，就是给你一个X列一个Y列，里面要凑出最大的积的和。有个限制条件，就是商品数量有限，所以可以从商品入手。将商品、优惠券全部排序后，从商品的一段开始匹配能产生最大积的优惠券，累计和，如果碰到乘出负数的就掉个头，从末端往回找。因为求快，所以代码写的多了点，估计还能精简…
#include <iostream>
using namespace std;
int compare(const void *a, const void *b)
{
return (*(long*)a > *(long*)b) ? -1 : 1;
}
int main()
{
int NC, NP;
cin >> NC;
long * coupons = new long[NC];
for (int i = 0; i < NC; i++)
{
cin >> coupons[i];
}
cin >> NP;
long * products = new long[NP];
for (int i = 0; i < NP; i++)
{
cin >> products[i];
}
qsort(coupons, NC, sizeof(long), compare);
qsort(products, NP, sizeof(long), compare);
int nc_index = 0;
long bonussum = 0;
for (int i = 0; i < NP; i++)
{
if (nc_index >= NC)
break;
if (products[i] < 0)
break;
long bonus = coupons[nc_index] * products[i];
if (bonus < 0)
break;
bonussum += bonus;
nc_index++;
}
nc_index = NC - 1;
for (int i = NP - 1; i >= 0; i--)
{
if (nc_index < 0)
break;
if (products[i] > 0)
break;
long bonus = coupons[nc_index] * products[i];
if (bonus < 0)
break;
bonussum += bonus;
nc_index--;
}
cout << bonussum;
return 0;
}
里面可以看到，某个监测点耗时还挺长的…不过我的原则是够用就好。如果优惠券数量远多于商品的话，考虑只对商品排序，然后找优惠券就行了；反之亦然。
测试点
| 测试点 | 结果 | 用时(ms) | 内存(kB) | 得分/满分 |
|---|---|---|---|---|
| 0 | 答案正确 | 1 | 256 | 10/10 |
| 1 | 答案正确 | 1 | 256 | 3/3 |
| 2 | 答案正确 | 1 | 352 | 3/3 |
| 3 | 答案正确 | 1 | 348 | 3/3 |
| 4 | 答案正确 | 53 | 2560 | 3/3 |
| 5 | 答案正确 | 1 | 356 | 3/3 |