#region ZIPPER using System; using System.Collections.Generic; using System.Collections; using System.Linq; using System.Text; using System.Numerics; using sc = Scanner; class Program { static void Main(string[] args) { Solver solver = new Solver(); solver.Solve(); #if DEBUG System.Console.WriteLine("続行するには何かキーを押してください..."); System.Console.ReadKey(); #endif } } /// /// Java風のスキャナー,自作(某最速の人を参考) /// public static class Scanner { public static string NextString() { string tmp = ""; while (true) { int readData; string data; readData = Console.Read(); if (readData == -1) //EOF { break; } data = char.ConvertFromUtf32(readData); if (data == " " || data == "\n") { break; } tmp += data; } return tmp; } public static int NextInt() { string tmp = ""; while (true) { int readData; string data; readData = Console.Read(); if (readData == -1) //EOF { break; } data = char.ConvertFromUtf32(readData); if (data == " " || data == "\n") { break; } tmp += data; } return int.Parse(tmp); } public static long NextLong() { string tmp = ""; while (true) { int readData; string data; readData = Console.Read(); if (readData == -1) //EOF { break; } data = char.ConvertFromUtf32(readData); if (data == " " || data == "\n") { break; } tmp += data; } return long.Parse(tmp); } public static double NextDouble() { string tmp = ""; while (true) { int readData; string data; readData = Console.Read(); if (readData == -1) //EOF { break; } data = char.ConvertFromUtf32(readData); if (data == " " || data == "\n") { break; } tmp += data; } return double.Parse(tmp); } public static string[] NextStrArray() { return Console.ReadLine().Split(' '); } public static int[] NextIntArray() { string[] s = NextStrArray(); int[] a = new int[s.Length]; for (int i = 0; i < a.Length; i++) { a[i] = int.Parse(s[i]); } return a; } public static long[] NextLongArray() { string[] s = NextStrArray(); long[] a = new long[s.Length]; for (int i = 0; i < a.Length; i++) { a[i] = long.Parse(s[i]); } return a; } public static double[] NextDoubleArray() { string[] s = NextStrArray(); double[] a = new double[s.Length]; for (int i = 0; i < a.Length; i++) { a[i] = double.Parse(s[i]); } return a; } } #endregion ZIPPER public class Solver { #region IGNORE_ME public Solver() { //こんすとらくたん きにしなくてよろしい } #endregion IGNORE_ME #region FIELD #endregion FIELD public void Solve() { int a = sc.NextInt(); double[] p = new double[3]; for (int i = 0; i < 3; i++) { p[i] = 1.0 * sc.NextInt() / 100; } double[,] dp = new double[81, 14]; for (int i = 0; i < 14; i++) { dp[a, i] = 1; } for (int i = a; i < 80; i++) { for (int j = 1; j < 13; j++) { double ryosidenon = (1.0-dp[i,j-1])*(1.0-dp[i,j+1]); double ryosideari = dp[i,j-1]*dp[i,j+1]; dp[i + 1, j] = dp[i,j] *( ryosideari * (1-p[2]) + ryosidenon * (1-p[0]) + (1 - ryosideari - ryosidenon) *(1- p[1]) ); #if DEBUG Console.WriteLine("{0} {1} {2}",ryosideari,ryosidenon,1.0-ryosideari-ryosidenon); #endif } dp[i + 1, 0] = dp[i,0]*(dp[i, 1] * (1 - p[1]) + (1 - dp[i, 1]) * (1 - p[0])); dp[i + 1, 13] = dp[i,13]*(dp[i , 12] * (1 - p[1]) + (1 - dp[i , 12]) * (1 - p[0])); } double answer = 0; for (int i = 0; i < 14; i++) { answer += 2* dp[80, i]; } Console.WriteLine(answer); #if DEBUG Console.WriteLine("");//local check #endif } }