using System; using System.IO; using System.Linq; using System.Text; using System.Collections.Generic; using System.Diagnostics; using Enu = System.Linq.Enumerable; class Program { public void Solve() { int N = Reader.Int(); double PA = Reader.Double(), PB = Reader.Double(); int[] A = Reader.IntArray(N), B = Reader.IntArray(N); Array.Sort(A); Array.Sort(B); var ProbA = GetProb(N, PA); var ProbB = GetProb(N, PB); double ans = 0; for (int ai = 0; ai < N; ai++) for (int bi = 0; bi < N; bi++) if (A[ai] > B[bi]) for (int pos = 0; pos < N; pos++) ans += (A[ai] + B[bi]) * ProbA[ai, pos] * ProbB[bi, pos]; Console.WriteLine(ans); } double[,] GetProb(int N, double p) { var res = new double[N, N]; for (int who = 0; who < N; who++) { // dp[pos, num] : [0, pos) の範囲を並べ終えたとき、whoが残っていてwhoより低い人がnum人残っている確率 var dp = new double[N + 1, N + 1]; dp[0, who] = 1; for (int pos = 0; pos < N; pos++) for (int lower = 0; lower <= who; lower++) if (dp[pos, lower] > 0) { int rem = N - pos; int upper = (rem - lower - 1); double other = (1 - p) / (rem - 1); double select = (rem == 1) ? 1 : (lower == 0) ? p : other; res[who, pos] += dp[pos, lower] * select; if (lower > 0) dp[pos + 1, lower - 1] += dp[pos, lower] * (p + other * (lower - 1)); if (upper > 0) dp[pos + 1, lower] += dp[pos, lower] * other * upper; } } return res; } } class Entry { static void Main() { new Program().Solve(); } } class Reader { private static TextReader reader = Console.In; private static readonly char[] separator = { ' ' }; private static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries; private static string[] A = new string[0]; private static int i; private 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 Enu.Range(0, N).Select(i => Int()).ToArray(); } public static int[][] IntTable(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); } public static string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Line()).ToArray(); } public static string Line() { return reader.ReadLine().Trim(); } private static string[] Split(string s) { return s.Split(separator, op); } private static string Next() { CheckNext(); return A[i++]; } private 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; } }