#include <cstdio>
#include <vector>
#include <array>
#define repeat(i,n) for (int i = 0; (i) < (n); ++(i))
#define repeat_reverse(i,n) for (int i = (n)-1; (i) >= 0; --(i))
typedef long long ll;
using namespace std;

template <typename T, size_t H, size_t W>
using matrix = array<array<T,W>,H>;
template <typename T, size_t A, size_t B, size_t C>
matrix<T,A,C> operator * (matrix<T,A,B> const & p, matrix<T,B,C> const & q) {
    matrix<T,A,C> r = {};
    repeat (y,A) {
        repeat (z,B) {
            repeat (x,C) {
                r[y][x] += p[y][z] * q[z][x];
            }
        }
    }
    return r;
}
template <typename T, size_t A, size_t B>
array<T,A> operator * (matrix<T,A,B> const & p, array<T,B> const & q) {
    array<T,A> r = {};
    repeat (y,A) {
        repeat (z,B) {
            r[y] += p[y][z] * q[z];
        }
    }
    return r;
}
template <typename T, size_t H, size_t W>
matrix<T,H,W> matrix_zero() { return {}; }
template <typename T, size_t N>
matrix<T,N,N> matrix_unit() { matrix<T,N,N> a = {}; repeat (i,N) a[i][i] = 1; return a; }

int main() {
    array<__float128,7> ax = { 0, 0, 0, 0, 0, 0, 1 };
    array<__float128,6> bx = { 1, 0, 0, 0, 0, 0 };
    vector<array<array<__float128,7>,7> > aes;
    vector<array<array<__float128,6>,6> > bes; {
        array<array<__float128,7>,7> ae
            { 1./6, 1./6, 1./6, 1./6, 1./6, 1./6, 1
            ,    1,    0,    0,    0,    0,    0, 0
            ,    0,    1,    0,    0,    0,    0, 0
            ,    0,    0,    1,    0,    0,    0, 0
            ,    0,    0,    0,    1,    0,    0, 0
            ,    0,    0,    0,    0,    1,    0, 0
            ,    0,    0,    0,    0,    0,    0, 1
            };
        array<array<__float128,6>,6> be
            { 1./6, 1./6, 1./6, 1./6, 1./6, 1./6
            ,    1,    0,    0,    0,    0,    0
            ,    0,    1,    0,    0,    0,    0
            ,    0,    0,    1,    0,    0,    0
            ,    0,    0,    0,    1,    0,    0
            ,    0,    0,    0,    0,    1,    0
            };
        repeat (i,64) {
            aes.push_back(ae);
            bes.push_back(be);
            ae = ae * ae;
            be = be * be;
        }
    }
    int t; scanf("%d", &t);
    while (t --) {
        ll n; scanf("%lld", &n);
        array<array<__float128,7>,7> af = matrix_unit<__float128,7>();
        array<array<__float128,6>,6> bf = matrix_unit<__float128,6>();
        repeat (i,64) if (n & (1ll << i)) {
            af = af * aes[i];
            bf = bf * bes[i];
        }
        __float128 a = (af * ax)[0];
        __float128 b = (bf * bx)[0];
        long double ans = a / b;
        printf("%.18llf\n", ans);
    }
    return 0;
}