poj 3122

Description

My birthday is coming up and traditionally I‘m serving pie. Not just one pie, no, I have a number N of them, of various tastes and of various sizes. F of my friends are coming to my party and each of them gets a piece of pie. This should be one piece of one pie, not several small pieces since that looks messy. This piece can be one whole pie though. 

My friends are very annoying and if one of them gets a bigger piece than the others, they start complaining. Therefore all of them should get equally sized (but not necessarily equally shaped) pieces, even if this leads to some pie getting spoiled (which is better than spoiling the party). Of course, I want a piece of pie for myself too, and that piece should also be of the same size. 

What is the largest possible piece size all of us can get?

All the pies are cylindrical in shape and they all have the same height 1, but the radii of the pies can be different.

Input

Output

Sample Input

3
3 3
4 3 3
1 24
5
10 5
1 4 2 3 4 5 6 5 4 2

Sample Output

25.1327
3.1416
50.2655

Source

Northwestern Europe 2006

AC代码：

#include<stdio.h>
#include<iostream>
#include<math.h>
using namespace std;
double pi=3.14159265359;   //精度要足够大啊，要不wa死了
double v[10010];
int n,m;
double s,vm;
int judge(double mid){
    int sum=0;
    for(int i=1;i<=n;i++)
        sum+=(int)(v[i]/mid);
    if(sum>=m)
        return 1;
    return 0;
}
int main(){
    int T; scanf("%d",&T);
    while(T--){
        scanf("%d%d",&n,&m);
        s=0.0; m++;
        for(int i=1;i<=n;i++){
            double r; scanf("%lf",&r);
            v[i]=pi*r*r;
            s+=v[i];
        }
        vm=s/(m+0.0);
        double left,right,mid;
        left=0.0; right=vm;
        while((right-left)>0.000001){
            mid=(right+left)/2;
            if(judge(mid))
                left=mid;
            else
                right=mid;
        }
        printf("%.4lf\n",left);
    }
    return 0;
}