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FatMouse' Trade_贪心
Problem Description
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.
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.
Input
The 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.
Output
For 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
【题意】一只老鼠有n的猫粮,一只猫有m间房,每间房有num的豆需要val的猫粮换取,求最大能换到的豆
【思路】简单的贪心问题
#include<iostream> #include<stdio.h> #include<string.h> #include<algorithm> using namespace std; const int N=1000+10; int n,m; struct node { double num; double val; double p; }a[N]; bool cmp(node a,node b) { return a.p>b.p; } int main() { while(scanf("%d%d",&n,&m)!=EOF) { if(m==-1&&n==-1) break; for(int i=1;i<=m;i++) { scanf("%lf%lf",&a[i].num,&a[i].val); a[i].p=1.0*a[i].num/a[i].val; } sort(a+1,a+m+1,cmp); double ans=0; for(int i=1;i<=m;i++) { if(n==0) break; if(a[i].val<=n) { n-=a[i].val; ans+=a[i].num; } else { ans+=1.0*n*a[i].p; break; } } printf("%.3lf\n",ans); } return 0; }
FatMouse' Trade_贪心
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