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[] { 0 }.Concat(Reader.IntArray(N - 2)).Concat(new[] { 0 }).ToArray(); var ans = new double[N, 2]; int size = D - 1; var M = new double[size][]; for (int i = 0; i < M.Length; i++) M[i] = new double[size]; for (int i = 0; i < size; i++) { int start = N - D + i; for (int d = 1; d <= D; d++) { int next = start + d; if (next == N - 1) continue; if (next >= N) next = N - 2 - (next - N); next = next - (N - D); M[next][i] += 1.0 / D; } } M = MatrixPowerSum(M, 1L << 20); for (int i = 0; i < size; i++) { int at = N - D + i; double ex = Cost[at]; for (int c = 0; c < size; c++) ex += M[c][i] * Cost[N - D + c]; ans[at, 0] = Cost[at]; ans[at, 1] = ex; } for (int i = N - D - 1; i >= 0; i--) for (int used = 0; used < 2; used++) { double ex0 = Cost[i], ex1 = double.MaxValue; for (int d = 1; d <= D; d++) { ex0 += ans[i + d, used] / D; if (used == 0) ex1 = Math.Min(ex1, Cost[i] + ans[i + d, 1]); } ans[i, used] = Math.Min(ex0, ex1); } Console.WriteLine(ans[0, 0]); } static double[][] MatrixPowerSum(double[][] A, long n) { if (n == 1) return A; int size = A.Length; var half = MatrixPower(A, n / 2); var sum = MatrixPowerSum(A, n / 2); var right = MatrixMult(half, sum); for (int r = 0; r < size; r++) for (int c = 0; c < size; c++) sum[r][c] += right[r][c]; if (n % 2 == 0) return sum; var C = MatrixPower(A, n); for (int r = 0; r < size; r++) for (int c = 0; c < size; c++) sum[r][c] += C[r][c]; return sum; } static double[][] MatrixPower(double[][] A, long n) { int size = A.Length; double[][] res = new double[size][]; for (int i = 0; i < size; i++) { res[i] = new double[size]; res[i][i] = 1; } while (n > 0) { if ((n & 1) == 1) res = MatrixMult(res, A); A = MatrixMult(A, A); n >>= 1; } return res; } static double[][] MatrixMult(double[][] A, double[][] B) { double[][] res = new double[A.Length][]; for (int i = 0; i < res.Length; i++) res[i] = new double[B[0].Length]; for (int i = 0; i < A.Length; i++) for (int k = 0; k < A[0].Length; k++) for (int j = 0; j < B[0].Length; j++) res[i][j] += A[i][k] * B[k][j]; return res; } } 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; } }