Saturday 2 March 2013

Uva 12097 - Pie Solution

#include<iostream>
#include<cstdio>
#include<list>
#include<string>
#include<cstring>
#include<sstream>
#include<cctype>
#include<string.h>
#include<algorithm>
#include<cmath>
#include<stack>
#include<fstream>
#include<cstdlib>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
#include<queue>
#include<deque>
#include<iterator>
#include<assert.h>
#include<bitset>
#include<climits>
#include<ctime>
#include<complex>

using namespace std;

#define SET(a) memset(a,-1,sizeof(a))
#define ALL(a) a.begin(),a.end()
#define CLR(a) memset(a,0,sizeof(a))
#define PB push_back
#define PI acos(-1.0)
#define max3(a,b,c) max(a,max(b,c))
#define min3(a,b,c) min(a,min(b,c))
#define READ freopen("input.txt", "r", stdin)
#define WRITE freopen("output.txt", "w", stdout)
#define LL long long

#define S(a) scanf("%d",&a)
#define S2(a,b) scanf("%d%d",&a,&b)
#define KS printf("Case %d: ",kk++)

#define MOD 1000000007
#define MX 100010

double vol[10010];
int n;

int friends(double md)
{
    int cnt=0;
    for(int i=0;i<n;i++)
        cnt+=(int)(vol[i]/md);
return cnt;
}


int main()
{
    int a,b,c,tc,w,x,y,z,m,u,v,cnt,mx,mn,p,q,r,sum;
    string s,s2;

    cin>>tc;
    while(tc--)
    {
        cin>>n>>m;
        m++;
        for(int i=0;i<n;i++)
        {
            cin>>vol[i];
            vol[i]=(vol[i]*vol[i]*PI);
        }

        //binary search
        double hi=1e9,lo=0.0,md;
        for(int i=0;i<100;i++)
        {
            md=(hi+lo)/2.0;
            if(friends(md)>=m)
                lo=md;
            else hi=md;
        }

        printf("%.6lf\n",md);

    }
    return 0;
}

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