using System; using System.IO; using System.Linq; using System.Text; using System.Diagnostics; using System.Collections.Generic; using System.Text.RegularExpressions; using Enu = System.Linq.Enumerable; class Program { static readonly int NumTeeth = 14; static readonly int Target = 80; double[] BadProb; double?[, ,] memo; void Solve() { int Age = reader.Int(); BadProb = Enu.Range(0, 3).Select(i => reader.Double() / 100).ToArray(); int rem = Target - Age; memo = new double?[rem + 1, NumTeeth + 1, 2]; double ans = 2 * Rec(rem, NumTeeth, 1); Console.WriteLine(ans); } private double Rec(int year, int len, int isLeftBad) { if (year == 0 || len == 0) return len; if (len == 1) return (1 - BadProb[1 - isLeftBad]) * Rec(year - 1, 1, 1); if (memo[year, len, isLeftBad].HasValue) return memo[year, len, isLeftBad].Value; double res = 0; double good = 1; for (int firstBad = 0; firstBad < len; firstBad++) { double p = (firstBad == 0 && isLeftBad == 1 || firstBad == len - 1) ? BadProb[1] : BadProb[2]; res += good * p * Rec(year - 1, firstBad, 1); res += good * p * Rec(year, len - 1 - firstBad, 0); good *= 1 - p; } res += good * Rec(year - 1, len, 1); memo[year, len, isLeftBad] = res; return res; } Reader reader = new Reader(Console.In); static void Main() { new Program().Solve(); } } 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 Reader(string file) { reader = new StreamReader(file); } 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++]; } }