using System; using System.IO; using System.Linq; using System.Text; using System.Text.RegularExpressions; using System.Collections.Generic; using System.Diagnostics; using System.Numerics; using Enu = System.Linq.Enumerable; public class Program { public void Solve() { int N = Reader.Int(); int D = Reader.Int(); var Cost = new int[N]; for (int i = 1; i < N - 1; i++) Cost[i] = Reader.Int(); Func Next = (i, d) => N - 1 - Math.Abs(i + d - (N - 1)); var M = new double[N - 1][]; for (int i = 0; i < N - 1; i++) { M[i] = new double[N]; M[i][i] = 1; for (int d = 1; d <= D; d++) M[i][Next(i, d)] -= 1.0 / D; M[i][N - 1] = Cost[i]; } GaussJordan(M); var ans = new double[N, 2]; for (int i = N - 2; i >= 0; i--) { double unuse = Cost[i], use = double.MaxValue; for (int d = 1; d <= D; d++) { if (i + d < N) use = Math.Min(use, Cost[i] + ans[i + d, 1]); unuse += ans[Next(i, d), 0] / D; } ans[i, 0] = Math.Min(unuse, use); ans[i, 1] = M[i][N - 1]; } Console.WriteLine(ans[0, 0]); } int GaussJordan(double[][] M) { const double EPS = 1e-9; int H = M.Length; int W = M[0].Length; int rank = 0; for (int i = 0; i < H; i++) { int pivot = rank; for (int k = rank + 1; k < H; k++) if (Math.Abs(M[k][i]) > Math.Abs(M[pivot][i])) pivot = k; var t = M[rank]; M[rank] = M[pivot]; M[pivot] = t; if (Math.Abs(M[rank][i]) < EPS) continue; for (int c = W - 1; c >= i; c--) M[rank][c] /= M[rank][i]; for (int k = 0; k < H; k++) if (k != rank) for (int c = W - 1; c >= i; c--) M[k][c] -= M[k][i] * M[rank][c]; rank++; } return rank; } } class Entry { static void Main() { new Program().Solve(); } } class Reader { static TextReader reader = Console.In; static readonly char[] separator = { ' ' }; static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries; static string[] A = new string[0]; static int i; static void Init() { A = new string[0]; } public static void Set(TextReader r) { reader = r; Init(); } public static void Set(string file) { reader = new StreamReader(file); Init(); } public static bool HasNext() { return CheckNext(); } public static string String() { return Next(); } public static int Int() { return int.Parse(Next()); } public static long Long() { return long.Parse(Next()); } public static double Double() { return double.Parse(Next()); } public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); } public static int[] IntArray(int N) { return Range(N, Int); } public static int[][] IntTable(int H) { return Range(H, IntLine); } public static string[] StringArray(int N) { return Range(N, Next); } public static string[][] StringTable(int N) { return Range(N, () => Split(Line())); } public static string Line() { return reader.ReadLine().Trim(); } public static T[] Range(int N, Func f) { var r = new T[N]; for (int i = 0; i < N; r[i++] = f()) ; return r; } static string[] Split(string s) { return s.Split(separator, op); } static string Next() { CheckNext(); return A[i++]; } static bool CheckNext() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return CheckNext(); A = Split(line); i = 0; return true; } }