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.
输入描述:
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.
输出描述:
For each test case, simply print in a line the maximum amount of money you can get back.
示例:
输入:
4
1 2 4 -1
4
7 6 -2 -3
输出:
43
题目分析:
在这道题中,它其实就是给你优惠券和产品,使用优惠券乘上你产品价值得到数,就是要返回你的金额;在题目中,开始的背景给你讲了优惠券为负,产品为正,得到的结果就是负,那么你就要给商店倒贴钱;反之,优惠券为正,产品价值为负,得到的结果也是负,也需要倒贴钱;但是在计算商店要返回给你的最大金额时,肯定不需要给店铺返钱呀!这是生活中的常识,所以我们就懂得了题目想要你回答什么。
你输入了一组优惠券和一组产品价值,要计算其得到金额的最大值,我们用输入示例来画图讲解:
代码如下:
import java.util.*;
public class Main{
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
// 优惠券数量
int numNC = sc.nextInt();
// 优惠券价值
long[] NC = new long[numNC];
for(int i = 0; i < numNC; i++){
NC[i] = sc.nextLong();
}
// 产品数量
int numNP = sc.nextInt();
// 产品价值
long[] NP = new long[numNP];
for(int i = 0; i < numNP; i++){
NP[i] = sc.nextLong();
}
// 存放使用优惠券获得的金额
long backMoney = 0;
// 先排序
Arrays.sort(NC);
Arrays.sort(NP);
// 遍历二维数组
for(int i = 0, j = 0; i < numNC && j < numNP && NC[i] < 0 && NP[j] < 0; i++, j++){
backMoney += NC[i] * NP[j];
}
for(int i = numNC-1, j = numNP-1; i > 0 && j > 0 && NC[i] > 0 && NP[j] > 0; i--, j--){
backMoney += NC[i] * NP[j];
}
System.out.println(backMoney);
}
}
本地IDEA中运行:
牛客网在线OJ运行:
注意: 在线OJ上的测试数据太大,记得要用long类型。