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.
輸入描述:
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.
輸出描述:
For each test case, simply print in a line the maximum amount of money you can get back.
示例:
輸入:
4
1 2 4 -1
4
7 6 -2 -3
輸出:
43
題目分析:
在這道題中,它其實就是給你優惠券和產品,使用優惠券乘上你產品價值得到數,就是要返回你的金額;在題目中,開始的背景給你講了優惠券爲負,產品爲正,得到的結果就是負,那麼你就要給商店倒貼錢;反之,優惠券爲正,產品價值爲負,得到的結果也是負,也需要倒貼錢;但是在計算商店要返回給你的最大金額時,肯定不需要給店鋪返錢呀!這是生活中的常識,所以我們就懂得了題目想要你回答什麼。
你輸入了一組優惠券和一組產品價值,要計算其得到金額的最大值,我們用輸入示例來畫圖講解:
代碼如下:
import java.util.*;
public class Main{
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
// 優惠券數量
int numNC = sc.nextInt();
// 優惠券價值
long[] NC = new long[numNC];
for(int i = 0; i < numNC; i++){
NC[i] = sc.nextLong();
}
// 產品數量
int numNP = sc.nextInt();
// 產品價值
long[] NP = new long[numNP];
for(int i = 0; i < numNP; i++){
NP[i] = sc.nextLong();
}
// 存放使用優惠券獲得的金額
long backMoney = 0;
// 先排序
Arrays.sort(NC);
Arrays.sort(NP);
// 遍歷二維數組
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中運行:
牛客網在線OJ運行:
注意: 在線OJ上的測試數據太大,記得要用long類型。