1037. Magic Coupon (25)
题目例如以下:
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:4 1 2 4 -1 4 7 6 -2 -3Sample Output:
43
题目非常easy,为了得到钱。我们仅仅能通过两种途径。①正优惠券相应正的商品。②负优惠券相应负的商品。
对于正数。我们依照降序排序以获得最大的优惠券和最高价的商品。
对于负数。我们依照升序排序以获得绝对值最大的优惠券和商品。
因此。我们须要把正、负分开统计。因此须要4个容器(coupon和product各+、-两个)。
排序结束后。从前到后累加优惠券数值和商品数值的乘积,注意遍历容器时设置结束条件为较小的容器的大小。
#include <iostream> #include <vector> #include <stdio.h> #include <algorithm> using namespace std; int comparePos(int a, int b){ return a > b; } int compareNeg(int a, int b){ return a < b; } int main() { vector<int> posCoupons,negCoupons; vector<int> posProducts,negProducts; int N; cin >> N; int buffer; for(int i = 0; i < N; i++){ scanf("%d",&buffer); if(buffer >= 0){ posCoupons.push_back(buffer); }else{ negCoupons.push_back(buffer); } } cin >> N; for(int i = 0; i < N; i++){ scanf("%d",&buffer); if(buffer >= 0){ posProducts.push_back(buffer); }else{ negProducts.push_back(buffer); } } sort(posCoupons.begin(),posCoupons.end(),comparePos); sort(negCoupons.begin(),negCoupons.end(),compareNeg); sort(posProducts.begin(),posProducts.end(),comparePos); sort(negProducts.begin(),negProducts.end(),compareNeg); // 首先组合正的coupons和正的products int thres = posCoupons.size() > posProducts.size() ? posProducts.size() : posCoupons.size(); int sum = 0; for(int i = 0; i < thres; i++){ sum += posCoupons[i] * posProducts[i]; } // 然后组合负的coupons和负的products thres = negCoupons.size() > negProducts.size() ? negProducts.size() : negCoupons.size(); for(int i = 0; i < thres; i++){ sum += negCoupons[i] * negProducts[i]; } cout << sum << endl; return 0; }