
题目
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 $N_C$
, followed by a line with $N_C$
coupon integers. Then the next line contains the number of products $N_P$
, followed by a line with $N_P$
product values. Here $1≤N_C
,N_P ≤10^5$
, and it is guaranteed that all the numbers will not exceed $2^{30}$
.
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
1 |
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