PAT_A1070#Mooncake

Source:

PAT A1070 Mooncake (25 分)

Description:

Mooncake is a Chinese bakery product traditionally eaten during the Mid-Autumn Festival. Many types of fillings and crusts can be found in traditional mooncakes according to the region's culture. Now given the inventory amounts and the prices of all kinds of the mooncakes, together with the maximum total demand of the market, you are supposed to tell the maximum profit that can be made.

Note: partial inventory storage can be taken. The sample shows the following situation: given three kinds of mooncakes with inventory amounts being 180, 150, and 100 thousand tons, and the prices being 7.5, 7.2, and 4.5 billion yuans. If the market demand can be at most 200 thousand tons, the best we can do is to sell 150 thousand tons of the second kind of mooncake, and 50 thousand tons of the third kind. Hence the total profit is 7.2 + 4.5/2 = 9.45 (billion yuans).

Input Specification:

Each input file contains one test case. For each case, the first line contains 2 positive integers N (≤), the number of different kinds of mooncakes, and D (≤ thousand tons), the maximum total demand of the market. Then the second line gives the positive inventory amounts (in thousand tons), and the third line gives the positive prices (in billion yuans) of N kinds of mooncakes. All the numbers in a line are separated by a space.

Output Specification:

For each test case, print the maximum profit (in billion yuans) in one line, accurate up to 2 decimal places.

Sample Input:

3 200
180 150 100
7.5 7.2 4.5

Sample Output:

9.45

Keys:

• 贪心
• ven要用double存储，int存储精度会有误差

Code:

 /*
 Data: 2019-07-22 19:35:47
 Problem: PAT_A1070#Mooncake
 AC: 13:45

 题目大意：
 给出各种月饼的库存和价格，和市场需求总量，求最大利润
 输入：
 第一行给出，月饼种类N<=1e3，市场需求总量D<=500
 第二行给出，库存量
 第三行给出，价格
 输出：
 最大利润（两位小数）

 基本思路：
 根据贪心算法，总是优先选择单价最高月饼
 */
 #include<cstdio>
 #include<algorithm>
 using namespace std;
 const int M=1e3+;
 struct node
 {
     double ven,prs;
 }mcake[M];

 bool cmp(const node &a, const node &b)
 {
     return a.prs/a.ven > b.prs/b.ven;
 }

 int main()
 {
 #ifdef    ONLINE_JUDGE
 #else
     freopen("Test.txt", "r", stdin);
 #endif

     int n,d;
     scanf("%d%d", &n,&d);
     for(int i=; i<n; i++)
         scanf("%lf", &mcake[i].ven);
     for(int i=; i<n; i++)
         scanf("%lf", &mcake[i].prs);
     sort(mcake,mcake+n,cmp);
     double ans=;
     for(int i=; i<n; i++)
     {
         if(d > mcake[i].ven)
         {
             ans += mcake[i].prs;
             d -= mcake[i].ven;
         }
         else if(d <= mcake[i].ven)
         {
             ans += d*(mcake[i].prs/mcake[i].ven);
             break;
         }
     }
     printf("%.2f\n", ans);

     return ;
 }