PAT-A 1037. Magic Coupon

1037. 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 -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 <nobr> 230 </nobr>.

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

程序代码:

#include<stdio.h>
#define MAX 100000
int coupons[MAX],value[MAX];
int comp(void* a,void* b);
int main()
{
    int m,n,i;
    scanf("%d",&m);
    for(i=0;i<m;i++)
        scanf("%d",&coupons[i]);
    scanf("%d",&n);
        for(i=0;i<n;i++)
                scanf("%d",&value[i]);
    qsort(coupons,m,sizeof(int),comp);
    qsort(value,n,sizeof(int),comp);
    int p=m-1,q=n-1;
    long long sum = 0;
    while(coupons[p]>0&&value[q]>0)
    {
        sum += coupons[p]*value[q];
        p--;
        q--;
    }
    p=0,q=0;
    while(coupons[p]<0&&value[q]<0)
    {
        sum += coupons[p]*value[q];
        p++;
        q++;
    }   
    printf("%d",sum);
    return 0;
}
int comp(void* a,void* b)
{
    int* m=(int*)a;
    int* n=(int*)b;
    return *m -*n;
}
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