# Poj2976 dropping tests

This year, there are n ACM-ICPC competitions, and Xiao Ming is entitled to participate in every one. There are b[i] questions in the first competition. Xiaoming predicted that he could make a[i] question in the first scene. In order to make him look more "big", Xiaoming wants to make his average number of questions as large as possible, that is, to maximize big degree. The definition of big degree is as follows:
In order to achieve this goal, Xiao Ming decided to give up the qualification of k games. Ask for the best.
For example, there are three small-scale competitions, with 5 questions, 1 question and 6 questions respectively. Xiao Ming predicts that he can make 5 questions, 0 questions and 2 questions respectively. If you take part in every game, you don't look very big. However, if you give up game 3, then the big guy is, look at the bigger guy.
Input
The input test file contains multiple sets of tests, each with three lines. The first line has two integers, 1 ≤ n ≤ 1000 and 0 ≤ K < n. The second line has n integers, each a[i]. The third line contains n positive integers b[i]. Ensure that 0 ≤ a[i] < b[i] < 1, 000, 000, 000. The end of the file is identified by n = k = 0 and should not be processed.
Output
For each group of test data, output a line of integers, that is, the highest possible bigness after giving up k games. Bigwig degrees should be rounded to the nearest whole number.
Sample Input
3 1
5 0 2
5 1 6
4 2
1 2 7 9
5 6 7 9
0 0
Sample Output
83
100
Hint

In order to avoid ambiguity caused by rounding error, all the answers are at least 0.001 different from the division boundary (for example, the answer can never appear 83.4997).

```#include <iostream>
#include <algorithm>
#include <cstdio>
using namespace std;
int main()
{
int n,k;
while(scanf("%d%d",&n,&k)&&n)
{
double  a,b;
for(int i=0;i<n;++i)
scanf("%lf",&a[i]);//Can do
for(int i=0;i<n;++i)
scanf("%lf",&b[i]);//How many?
double low=0.0,high=100.0,mid,ant;
while(high-low>0.00001)
{
double c;
ant=0;
mid=low+(high-low)/2.0;
for(int i=0;i<n;++i)
c[i]=a[i]-mid*b[i];
sort(c,c+n);
for(int i=k;i<n;++i)
ant+=c[i];
if(ant>0)
low=mid;
else
high=mid;
}
printf("%.0f\n",mid*100);
//  cout<<mid<<endl;
}
return 0;
}```
It's only a binary search, TLE

```#include <iostream>
#include <algorithm>
#include <cstdio>
using namespace std;
int main()
{
int n,k;
while(scanf("%d%d",&n,&k)&&n)
{
int  a,b;
int c;
for(int i=0;i<n;++i)
{
scanf("%d",&a[i]);//Can do
c[i]=i;
}

for(int i=0;i<n;++i)
scanf("%d",&b[i]);//How many?
double low=0.0,high=100,mid,ant=0;
while(high-low>0.1)
{
mid=low+(high-low)/2.0;

do
{
double aa=0,bb=0,ans;
for(int i=0;i<n-k;++i)
{
aa+=a[c[i]];
// cout<<c[i]<<' ';
}
// cout<<endl;
for(int i=0;i<n-k;++i)
bb+=b[c[i]];
ans=100*(1.0*aa/bb)*1.0;
if(ans>ant)
{
ant=ans;
//  cout<<ant<<endl;
}
}while(next_permutation(c,c+n));
if(ant>=mid)
low=mid;
else
high=mid;
}
printf("%.0lf\n",ant);
//cout<<ant<<endl;
}
return 0;
}```

Posted by SusieWoosey on Tue, 05 May 2020 10:59:50 -0700