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  • ACM FatMouse' Trade

    FatMouse prepared M pounds of cat food, ready to trade with the cats guarding the warehouse containing his favorite food, JavaBean. 
    The warehouse has N rooms. The i-th room contains J[i] pounds of JavaBeans and requires F[i] pounds of cat food. FatMouse does not have to trade for all the JavaBeans in the room, instead, he may get J[i]* a% pounds of JavaBeans if he pays F[i]* a% pounds of cat food. Here a is a real number. Now he is assigning this homework to you: tell him the maximum amount of JavaBeans he can obtain. 

    InputThe input consists of multiple test cases. Each test case begins with a line containing two non-negative integers M and N. Then N lines follow, each contains two non-negative integers J[i] and F[i] respectively. The last test case is followed by two -1's. All integers are not greater than 1000. 
    OutputFor each test case, print in a single line a real number accurate up to 3 decimal places, which is the maximum amount of JavaBeans that FatMouse can obtain. 
    Sample Input

    5 3
    7 2
    4 3
    5 2
    20 3
    25 18
    24 15
    15 10
    -1 -1

    Sample Output

    13.333
    31.500

     1 #include<bits/stdc++.h>
     2 using namespace std;
     3 struct node{
     4     int j;  /*理想下越大越好*/
     5     int f;   /*理想下越小越好*/
     6     double rate;  /*性价比*/
     7 }jb[1005];
     8 
     9 bool cmp(node a,node b)
    10 {
    11     if(a.rate != b.rate)
    12         return a.rate > b.rate;
    13     else
    14         return a.f < b.f;
    15 }
    16 
    17 int main()
    18 {
    19     int m,n;
    20     while(cin>>m>>n)  /*m(固定的猫粮) n(房间数)*/
    21     {
    22         if(m==-1&&n==-1)
    23             break;
    24         for(int i = 0; i< n; i++)
    25         {
    26               scanf("%d%d",&jb[i].j,&jb[i].f); /*j(房间内最多的JB数量)f(换购猫粮)*/
    27               jb[i].rate = jb[i].j*1.0/jb[i].f; /*记得在分子*1.0,否则出来的答案只能是int类型的*/
    28         }
    29         sort(jb,jb+n,cmp);
    30         double ans = 0;
    31 
    32         for(int i = 0; i < n; i++)
    33         {
    34             //cout<<jb[i].rate<<" "<<jb[i].f<<endl;
    35             if(m >= jb[i].f)
    36             {
    37                 ans+=jb[i].j;
    38                 m -= jb[i].f;
    39             }else{
    40                 ans += jb[i].rate*m;   /*根据计算公式推导*/
    41                 break;
    42             }
    43         }
    44         printf("%.3lf
    ",ans);
    45     }
    46     return 0;
    47 }
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  • 原文地址:https://www.cnblogs.com/jj81/p/7380677.html
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