using System; using System.Collections; using System.Collections.Generic; using System.Globalization; using System.IO; using System.Linq; using E = System.Linq.Enumerable; internal partial class Solver { public void Run() { var n = ni(); var m = ni(); var p = nd(); double ans = Solve(n, m, p); cout.WriteLine("{0:F10}", ans); } private double Solve(int n, int m, double p) { if (n > m) return Solve(m, n, p); double ans = 0; var count = new long[5]; if (n == 1 && m == 1) { count[0] = 1; } else if (n == 1) { // 12222221 count[1] = 2; count[2] = m - 2; } else { // 23332 // 34443 // 23332 count[2] = 4; count[4] = 1L * (n - 2) * (m - 2); count[3] = 1L * m * n - count[2] - count[4]; } for (int i = 0; i < 5; i++) { ans += count[i] * p * 1.0 * Math.Pow(p, i); } return ans; } } // PREWRITEN CODE BEGINS FROM HERE internal partial class Solver : Scanner { public static void Main(string[] args) { #if LOCAL byte[] inputBuffer = new byte[1000000]; var inputStream = Console.OpenStandardInput(inputBuffer.Length); using (var reader = new StreamReader(inputStream, Console.InputEncoding, false, inputBuffer.Length)) { Console.SetIn(reader); new Solver(Console.In, Console.Out).Run(); } #else Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }); new Solver(Console.In, Console.Out).Run(); Console.Out.Flush(); #endif } #pragma warning disable IDE0052 private readonly TextReader cin; private readonly TextWriter cout; #pragma warning restore IDE0052 public Solver(TextReader reader, TextWriter writer) : base(reader) { cin = reader; cout = writer; } public Solver(string input, TextWriter writer) : this(new StringReader(input), writer) { } #pragma warning disable IDE1006 #pragma warning disable IDE0051 private int ni() { return NextInt(); } private int[] ni(int n) { return NextIntArray(n); } private long nl() { return NextLong(); } private long[] nl(int n) { return NextLongArray(n); } private double nd() { return NextDouble(); } private double[] nd(int n) { return NextDoubleArray(n); } private string ns() { return Next(); } private string[] ns(int n) { return NextArray(n); } #pragma warning restore IDE1006 #pragma warning restore IDE0051 } internal static class LinqPadExtension { public static T Dump(this T obj) { #if LOCAL return LINQPad.Extensions.Dump(obj); #else return obj; #endif } } public class Scanner { private readonly TextReader Reader; private readonly Queue TokenQueue = new Queue(); private readonly CultureInfo ci = CultureInfo.InvariantCulture; public Scanner() : this(Console.In) { } public Scanner(TextReader reader) { Reader = reader; } public int NextInt() { return int.Parse(Next(), ci); } public long NextLong() { return long.Parse(Next(), ci); } public double NextDouble() { return double.Parse(Next(), ci); } public string[] NextArray(int size) { string[] array = new string[size]; for (int i = 0; i < size; i++) { array[i] = Next(); } return array; } public int[] NextIntArray(int size) { int[] array = new int[size]; for (int i = 0; i < size; i++) { array[i] = NextInt(); } return array; } public long[] NextLongArray(int size) { long[] array = new long[size]; for (int i = 0; i < size; i++) { array[i] = NextLong(); } return array; } public double[] NextDoubleArray(int size) { double[] array = new double[size]; for (int i = 0; i < size; i++) { array[i] = NextDouble(); } return array; } public string Next() { if (TokenQueue.Count == 0) { if (!StockTokens()) { throw new InvalidOperationException(); } } return TokenQueue.Dequeue(); } public bool HasNext() { if (TokenQueue.Count > 0) { return true; } return StockTokens(); } private static readonly char[] _separator = new[] { ' ', '\t' }; private bool StockTokens() { while (true) { string line = Reader.ReadLine(); if (line == null) { return false; } string[] tokens = line.Split(_separator, StringSplitOptions.RemoveEmptyEntries); if (tokens.Length == 0) { continue; } foreach (string token in tokens) { TokenQueue.Enqueue(token); } return true; } } }