PAT (Advanced Level) 1037. Magic Coupon (25) 求两数组元素相乘最大和,排序
2015-07-24 20:21
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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$12 to the shop.
Each coupon and each product may be selected at most once. Your task is to get as much money back as possible.
Input Specification:
Each input file contains one test case. For each case, the first line contains the number of coupons NC, followed by a line with NC coupon integers. Then the next line contains the number of products NP, followed by a line with NP product values. Here 1<= NC,
NP <= 105, and it is guaranteed that all the numbers will not exceed 230.
Output Specification:
For each test case, simply print in a line the maximum amount of money you can get back.
Sample Input:
Sample Output:
[/code]
for free. However, if you apply a coupon with a positive N to this bonus product, you will have to pay the shop N times the value of the bonus product... but hey, magically, they have some coupons with negative N's!
For example, given a set of coupons {1 2 4 -1}, and a set of product values {7 6 -2 -3} (in Mars dollars M$) 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
将两个数组都升序排列后,从头开始负负相乘,从尾开始正正相乘,遇到异号break。
/*2015.7.24cyq*/ #include <iostream> #include <vector> #include <algorithm> #include <string> using namespace std; int a[100002],b[100002]; int main(){ int n,m,sum=0; scanf("%d",&n); for(int i=0;i<n;i++) scanf("%d",a+i); scanf("%d",&m); for(int i=0;i<m;i++) scanf("%d",b+i); sort(a,a+n); sort(b,b+m); for(int i=0;i<n&&i<m;i++){ if(a[i]<0&&b[i]<0) sum+=a[i]*b[i]; else break; } for(int i=0;i<n&&i<m;i++){ if(a[n-i-1]>0&&b[m-i-1]>0) sum+=a[n-i-1]*b[m-i-1]; else break; } printf("%d\n",sum); return 0; }
[/code]
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