POJ2976Dropping tests(分数规划)

Posted 2020-11-24 zzyh

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题目大意：n个二元组a[i],b[i]，去掉k个，求sigma a[i]/ sigma b[i]的最大值

代码：

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#define N 1009
#define LL long long
using namespace std;

LL n,k;

LL a[N],b[N];

double c[N];

inline int read()
{
    register LL x=0,f=1;register char ch=getchar();
    while(ch<‘0‘||ch>‘9‘) if(ch==‘-‘) f=-1,ch=getchar();
    while(ch>=‘0‘&&ch<=‘9‘)x=x*10+ch-‘0‘,ch=getchar();
    return x*f;
} 

int main()
{
    while(1)
    {
        n=read();k=read();
        if(!n&&!k) break;
        for(int i=1;i<=n;i++) a[i]=read();
        for(int i=1;i<=n;i++) b[i]=read();
        double l=0,r=100;
        while(r-l>1e-5)
        {
            double mid=(l+r)/2,p=0;
            for(int i=1;i<=n;i++) c[i]=a[i]-mid*b[i];
            sort(c+1,c+n+1);
            for(int i=n;i>=k+1;i--) p=p+c[i];
            if(p>=0) l=mid;
            else r=mid;
        }
        printf("%.0f
",l*100);
    }
    return 0;
}