media geometrica ANDRU

#include <bits/stdc++.h>

using namespace std;

int n;
vector <double>v;
double x;

double geometricMean(vector<double> const & data)
{
    long long ex = 0;
    auto do_bucket = [&data,&ex](int first,int last) -> double
    {
        double ans = 1.0;
        for ( ;first != last;++first)
        {
            int i;
            ans *= frexp(data[first],&i);
            ex+=i;
        }
        return ans;
    };

    const int bucket_size = -log2( numeric_limits<double>::min() );
    size_t buckets = data.size() / bucket_size;

    double invN = 1.0 / data.size();
    double m = 1.0;

    for (size_t i = 0;i < buckets;++i)
        m *= std::pow( do_bucket(i * bucket_size,(i+1) * bucket_size),invN );

    m*= pow( do_bucket( buckets * bucket_size, data.size() ),invN );

    return pow(numeric_limits<double>::radix,ex * invN ) * m;
}
int main()
{
    int i;
    cin>>n;
    for(i=0;i<n;i++)
    {
        cin>>x;
        v.push_back(x);
    }
    cout<<fixed<<setprecision(2)<<geometricMean(v);
    return 0;
}