#include <iostream>
#include <iomanip>
#include <vector>
#include <algorithm>
#include <numeric>
#include <functional>
#include <cmath>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <sstream>
#include <string>

#define repd(i,a,b) for (int i=(a);i<(b);i++)
#define rep(i,n) repd(i,0,n)
#define var auto
#define mod 1000000007
#define inf 2147483647
#define nil -1
typedef long long ll;

using namespace std;

inline int input(){
    int a;
    cin >> a;
    return a;
}

template <typename T>
inline void output(T a, int p) {
    if(p){
        cout << fixed << setprecision(p)  << a << "\n";
    }
    else{
        cout << a << "\n";
    }
}

double solve_small(ll n){
    vector<double> a(n + 7, 0);
    vector<double> b(n + 7, 0);
    rep(i, 6){
        a[n + i + 1] = 1;
    }
    for (int i = n - 1; i >= 0; i--) {
        rep(j, 6){
            a[i] += a[i + j + 1];
            b[i] += b[i + j + 1];
        }
        a[i] /= 6;
        b[i] /= 6;
        b[i] += 1;
    }
//    cout << "a0 = " << a[0] << endl;
//    cout << "b0 = " << b[0] << endl;
    return b[0] / (1 - a[0]);
}

double solve_large(ll n){
    return double(n) + 5.0 / 3;
}

// end of template

int main() {
    cin.tie(0);
    // source code
    int T = input();
    rep(i, T){
        ll N;
        cin >> N;
        if (N < 500) {
            output(solve_small(N), 15);
        }
        else{
            output(solve_large(N), 15);
        }
    }
    
    return 0;
}