using System;
using System.Collections;
using System.Collections.Generic;
using System.Collections.Specialized;
using System.Text;
using System.Text.RegularExpressions;
using System.Linq;
using System.IO;

class Program
{
    static void Main()
    {
        new Magatro().Solve();
    }
}

struct S
{
    public bool[] Use;
    public long Price;
    public S(long p, bool[] u)
    {
        Price = p;
        Use = u;
    }
}

class Magatro
{
    private double[] D = new double[7] { 0, 1.0000000000000000, 1.0833333333333333, 1.2569444444444444, 1.5353009259259260, 1.6915991512345676, 2.0513639724794235 };
    private double[] X = new double[7];
    private double[] Ans = new double[1000001];

    private void Scan()
    {

    }

    private void Calc()
    {
        X[1] = D[2] - 1;
        X[2] = D[3] - X[1] * D[2] - 1;
        X[3] = D[4] - X[1] * D[3] - X[2] * D[2] - 1;
        X[4] = D[5] - X[1] * D[4] - X[2] * D[3] - X[3] * D[2] - 1;
        X[5] = D[6] - X[1] * D[5] - X[2] * D[4] - X[3] * D[3] - X[4] * D[2] - 1;
        X[6] = 1 - X[1] - X[2] - X[3] - X[4] - X[5];
        for (int i = 0; i <= 6; i++)
        {
            Ans[i] = D[i];
        }
        for (int i = 7; i <= 1000000; i++)
        {
            for (int j = 1; j <= 6; j++)
            {
                Ans[i] += Ans[i - j] * X[j];
            }
            Ans[i]++;
        }
    }


    public void Solve()
    {
        Scan();
        Calc();
        StringBuilder sb = new StringBuilder();
        int T = int.Parse(Console.ReadLine());
        for (int i = 0; i < T; i++)
        {
            sb.AppendLine(Ans[int.Parse(Console.ReadLine())].ToString());
        }
        Console.Write(sb.ToString());
    }
}