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 { void Solve() { int N = reader.Int(); var mat = Enu.Range(0, N).Select(i => new double[N + 1]).ToArray(); for (int r = 0; r < N; r++) { mat[r][r] = mat[r][N] = 6; for (int d = 1; d <= 6; d++) { int c = (r + d > N) ? 0 : r + d; if (c < N) mat[r][c]--; } } GaussJordan(mat); Console.WriteLine(mat[0][N]); } static bool GaussJordan(double[][] M) { double EPS = 1e-10; int R = M.Length; int C = M[0].Length; for (int i = 0; i < R; i++) { int pivot = i; for (int k = i + 1; k < R; k++) if (Math.Abs(M[k][i]) > Math.Abs(M[pivot][i])) pivot = k; var t = M[pivot]; M[pivot] = M[i]; M[i] = t; if (Math.Abs(M[i][i]) < EPS) return false; for (int j = C - 1; j >= i; j--) M[i][j] /= M[i][i]; for (int k = 0; k < R; k++) if (k != i) for (int j = C - 1; j >= i; j--) M[k][j] -= M[k][i] * M[i][j]; } return true; } 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++]; } } }