Mooncake (排序+贪心)

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 (<=1000), the number of different kinds of mooncakes, and D (<=500 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

 

坑点：1、这种题目，最好把所以进行运算的变量都设为double。2、最大总量可能为0。

  1 #include <iostream>

  2 

  3 #include <algorithm>

  4 

  5 #include <iomanip>

  6 

  7 using namespace std;

  8 

  9  

 10 

 11 struct moom

 12 

 13 {

 14 

 15    double pr;

 16 

 17    double cc;

 18 

 19 };

 20 

 21  

 22 

 23 bool cmp(moom a,moom b)

 24 

 25 {

 26 

 27    return a.pr/a.cc>b.pr/b.cc;

 28 

 29 }

 30 

 31  

 32 

 33 moom mm[1000];

 34 

 35  

 36 

 37 int main()

 38 

 39 {

 40 

 41       int n,i;

 42 

 43       double d;

 44 

 45       while(cin>>n)

 46 

 47       {

 48 

 49          cin>>d;

 50 

 51  

 52 

 53          for(i=0;i<n;i++)

 54 

 55          {

 56 

 57            

 58 

 59                cin>>mm[i].cc;

 60 

 61          }

 62 

 63  

 64 

 65           for(i=0;i<n;i++)

 66 

 67          {

 68 

 69         

 70 

 71                cin>>mm[i].pr;

 72 

 73          }

 74 

 75  

 76 

 77             sort(mm,mm+n,cmp);

 78 

 79        

 80 

 81             i=0;double sum=0;

 82 

 83             while(true)

 84 

 85             {

 86 

 87                if(mm[i].cc==0) break;

 88 

 89                if(d<=mm[i].cc)

 90 

 91                {

 92 

 93                   sum=sum+d/mm[i].cc*mm[i].pr;

 94 

 95                     break;

 96 

 97                }

 98 

 99                else

100 

101                {

102 

103                   d=d-mm[i].cc;

104 

105                     sum=sum+mm[i].pr;

106 

107                     i++;

108 

109                }

110 

111             }

112 

113  

114 

115       cout<<fixed<<setprecision(2)<<sum<<endl;

116 

117       }

118 

119    return 0;

120 

121 }

122 

123  

124 

125  

View Code