PAT 甲级 1037 Magic Coupon (25 分) 好水的贪心

素颜马尾好姑娘i 2024-02-19 21:53 121阅读 0赞

1037 Magic Coupon (25 分)

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:

  1. 4
  2. 1 2 4 -1
  3. 4
  4. 7 6 -2 -3

Sample Output:

  1. 43
  2. #include<iostream>
  3. #include<cstdio>
  4. #include<algorithm>
  5. #include<vector>
  6. #include<cmath>
  7. using namespace std;
  8. int cmp(int a,int b)
  9. {
  10. return a>b;
  11. }
  12. int main()
  13. {
  14. int n,m,i,j,t,sum=0;
  15. vector<int> zc,fc,zp,fp;
  16. cin>>n;
  17. for(i=0;i<n;i++)
  18. {
  19. cin>>t;
  20. if(t>0)
  21. zc.push_back(t);
  22. else
  23. fc.push_back(abs(t));
  24. }
  25. cin>>m;
  26. for(i=0;i<m;i++)
  27. {
  28. cin>>t;
  29. if(t>0)
  30. zp.push_back(t);
  31. else
  32. fp.push_back(abs(t));
  33. }
  34. sort(zc.begin(),zc.end(),cmp);
  35. sort(fc.begin(),fc.end(),cmp);
  36. sort(zp.begin(),zp.end(),cmp);
  37. sort(fp.begin(),fp.end(),cmp);
  38. for(i=0;i<zc.size()&&i<zp.size();i++)
  39. {
  40. sum+=zc[i]*zp[i];
  41. }
  42. for(i=0;i<fc.size()&&i<fp.size();i++)
  43. {
  44. sum+=fc[i]*fp[i];
  45. }
  46. cout<<sum<<endl;
  47. return 0;
  48. }

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