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 NCcoupon 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
题目大意:给出两个数字序列,从这两个序列中分别选取相同数量的元素进行一对一相乘,问能得到的乘积之和最大为多少~
分析:把这两个序列都从小到大排序,将前面都是负数的数相乘求和,然后将后面都是正数的数相乘求和~
注意 有一组乘完是负数的 舍弃掉 不要了 这样的话 感觉排完序后 用在线处理 也可以 得到负值舍弃 直接往后走
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
int main()
{
//freopen("in.txt", "r", stdin);
int n, m,p,q,ans=0;
cin >> n;
vector<int> a(n); //初始化vector的时候最好 给vector的大小
for (int i = 0; i < n; i++)
{
cin >> a[i];
}
cin >> m;
vector<int> b(m);
for (int i = 0; i < m; i++)
{
cin >> b[i];
}
sort(a.begin(), a.end());
sort(b.begin(), b.end());
p = 0;
q = 0;
while (p<n&&q<m&&a[p]<0&&b[q]<0 )
{
ans += a[p] * b[q];
p++;
q++;
}
p = n - 1;
q = m - 1;
while (p>=0&&q>=0&&a[p]>0&&b[q]>0)
{
ans += a[p] * b[q];
p--;
q--;
}
cout << ans;
//fclose(stdin);
return 0;
}