hdu FatMouse' Trade
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FatMouse' Trade
Time Limit : 2000/1000ms (Java/Other) Memory Limit : 65536/32768K (Java/Other)
Total Submission(s) : 1 Accepted Submission(s) : 1
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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 37 24 35 220 325 1824 1515 10-1 -1
Sample Output
13.33331.500
贪心,能买性价比高的,就买高的。
#include<iostream>#include<cstdio>#include<cstring>#include<algorithm>using namespace std;struct node{ int p,q; double v;} s[1005];int cmp(node x,node y){ return x.v>y.v;}int main(){ int m,n; while(scanf("%d%d",&m,&n)) { if(m==-1&&n==-1) break; for(int i=0; i<n; i++) { scanf("%d%d",&s[i].p,&s[i].q); s[i].v=s[i].p*1.0/s[i].q; } sort(s,s+n,cmp); double ans=0; for(int i=0;i<n;i++) { if(m>=s[i].q) { ans+=s[i].p; m-=s[i].q; } else { ans+=s[i].p*1.0/s[i].q*m; break; } } printf("%.3lf\n",ans); } return 0;}
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