hdu 1009 FatMouse' Trade
2013-05-02 18:47
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FatMouse' Trade
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 31290 Accepted Submission(s): 10104
[align=left]Problem Description[/align]
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.
[align=left]Input[/align]
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.
[align=left]Output[/align]
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.
[align=left]Sample Input[/align]
5 3
7 2
4 3
5 2
20 3
25 18
24 15
15 10
-1 -1
[align=left]Sample Output[/align]
13.333
31.500
题意:有 m 的猫粮,和n中交换 f[i] 能换 j[i]
求出能交换得的最大值,
按他们交换比值进行排序
然后计算出最值
#include <iostream> #include <stdio.h> #include <string.h> #include <algorithm> using namespace std; #define N 1005 typedef struct numb { int j,f; double p; numb() { j = 0; f = 0; p = 0.0; } }numb; numb a ; bool fun(numb x,numb y) { if(x.p - y.p > 0.000001) return true; else return false; } int main() { int m,n; while(scanf("%d%d",&m,&n) && n != -1 && m != -1) { int i; for(i = 0; i < n; i++) { scanf("%d%d",&a[i].j,&a[i].f); a[i].p = 1.0*a[i].j/a[i].f; } sort(a,a+n,fun); /*for(i = 0; i < n; i++) printf("%lf ",a[i].p);*/ double sum = 0.0; int j; int k = 0; int flag = 0; for(i = 0; i < n; i++) { if(m >= a[i].f) { sum += a[i].j; m -= a[i].f; } else { sum += a[i].p*m; break; } } printf("%0.3lf\n",sum); } return 0; }
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