using System;
using System.IO;
using System.Text;
using System.Linq;
using System.Diagnostics;
using System.Collections.Generic;
using Enu = System.Linq.Enumerable;

class Program
{
    static readonly double[] SampleAns = new double[6]
    {
        1.0000000000000000,
        1.0833333333333333,
        1.2569444444444444,
        1.5353009259259260,
        1.6915991512345676,
        2.0513639724794235,
    };
    double[] Probs = new double[7];

    void Solve()
    {
        int T = reader.Int();
        int[] Ns = reader.IntArray(T);
        FixProbs();
        foreach (var n in Ns)
            Console.WriteLine(DP(n));
        Console.ReadLine();
    }

    private void FixProbs()
    {
        for (int N = 2; N <= 6; N++)
        {
            double L = 0, R = 1;
            for (int loop = 0; loop < 200; loop++)
            {
                double mid = (L + R) / 2;
                Probs[N - 1] = mid;
                var prob = DP(N);
                if (prob > SampleAns[N - 1]) R = mid;
                else L = mid;
            }
        }
        Probs[6] = 1 - Probs.Sum();
    }

    double DP(int N)
    {
        double[] dp = new double[N + 6];
        for (int x = N - 1; x >= 0; x--)
        {
            dp[x] = 1;
            for (int d = 1; d <= 6; d++)
                dp[x] += Probs[d] * dp[x + d];
        }
        return dp[0];
    }




    static void Main() { new Program().Solve(); }
    Reader reader = new Reader(Console.In);
    class Reader
    {
        private readonly TextReader reader;
        private readonly char[] separator = { ' ' };
        private readonly StringSplitOptions removeOp = StringSplitOptions.RemoveEmptyEntries;
        private string[] A = new string[0];
        private int i;

        public Reader(TextReader r) { reader = r; }
        public bool HasNext() { return Enqueue(); }
        public string String() { return Dequeue(); }
        public int Int() { return int.Parse(Dequeue()); }
        public long Long() { return long.Parse(Dequeue()); }
        public double Double() { return double.Parse(Dequeue()); }
        public int[] IntLine() { var s = Line(); return s == "" ? new int[0] : Array.ConvertAll(Split(s), int.Parse); }
        public int[] IntArray(int N) { return Enu.Range(0, N).Select(i => Int()).ToArray(); }
        public int[][] IntGrid(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); }
        public string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Line()).ToArray(); }
        public string Line() { return reader.ReadLine().Trim(); }
        private string[] Split(string s) { return s.Split(separator, removeOp); }
        private bool Enqueue()
        {
            if (i < A.Length) return true;
            string line = reader.ReadLine();
            if (line == null) return false;
            if (line == "") return Enqueue();
            A = Split(line);
            i = 0;
            return true;
        }
        private string Dequeue() { Enqueue(); return A[i++]; }
    }
}