#include <iostream>
#include <iomanip>
#include <boost/multiprecision/cpp_int.hpp>
using namespace std;
using namespace boost::multiprecision;
typedef cpp_int Bint;
typedef long long int llint;
typedef long double real_t;

Bint sqrt_floor(Bint x)
{
    Bint ceil = x, floor = 1;
    while (ceil > floor + 1) {
        auto m = (ceil+floor)/2;
        if (m*m <= x)
            floor = m;
        else
            ceil = m;
    }
    return floor;
}

int main()
{
    Bint unit = pow(Bint(10),20);
    cout << fixed << setprecision(17);

    int N;
    cin >> N;
    Bint ans = 0;
    for (auto i=0; i<N; ++i) {
        Bint x;
        cin >> x;

        auto p = sqrt_floor(x);
        if (p*p == x) {
            ans += p*unit;
        } else {
            Bint R = 1;
            Bint U = 1, V = p;
            Bint a = 2*p, b = x-p*p;
            while (R < unit) {
                R *= 2*p;
                auto prev_V = V;
                V = a*V + b*U;
                U = prev_V;
            }
            ans -= p * unit;
            ans += (V * unit)/U;
        }
        cout << real_t(ans)/real_t(unit) << endl;
    }

    return 0;
}