#pragma GCC optimize("O2")
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <variant>
#include <bit>
#include <compare>
#include <concepts>
#include <numbers>
#include <ranges>
#include <span>

//#define int ll
#define INT128_MAX (__int128)(((unsigned __int128) 1 << ((sizeof(__int128) * __CHAR_BIT__) - 1)) - 1)
#define INT128_MIN (-INT128_MAX - 1)

#define clock chrono::steady_clock::now().time_since_epoch().count()

#ifdef DEBUG
#define dbg(x) cout << (#x) << " = " << (x) << '\n'
#else
#define dbg(x)
#endif

using namespace std;

using ll = long long;
using ull = unsigned long long;
using ldb = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
#define double ldb

template<class T>
T floorDiv(T a, T b) {
  if (b < 0) a *= -1, b *= -1;
  return a >= 0 ? a / b : (a - b + 1) / b;
}
template<class T>
T ceilDiv(T a, T b) {
  if (b < 0) a *= -1, b *= -1;
  return a >= 0 ? (a + b - 1) / b : a / b;
}

template<class T>
ostream& operator<<(ostream& os, const pair<T, T> pr) {
  return os << pr.first << ' ' << pr.second;
}
template<class T, size_t N>
ostream& operator<<(ostream& os, const array<T, N> &arr) {
  for(const T &X : arr)
    os << X << ' ';
  return os;
}
template<class T>
ostream& operator<<(ostream& os, const vector<T> &vec) {
  for(const T &X : vec)
    os << X << ' ';
  return os;
}
template<class T>
ostream& operator<<(ostream& os, const set<T> &s) {
  for(const T &x : s)
    os << x << ' ';
  return os;
}


signed main() {
  ios::sync_with_stdio(false), cin.tie(NULL);

  int r, c; cin >> r >> c;
  double p; cin >> p;
  vector dp(r + 1, vector<double>(c + 1));
  dp[0][0] = 0;
  for(int i = 0; i <= r; i++) {
    for(int j = (i == 0); j <= c; j++) {
      if (i == 0) {
        dp[i][j] = dp[i][j - 1] + p / 4;
      } else if (j == 0) {
        dp[i][j] = dp[i - 1][j] + p / 4;
      } else {
        double mn = dp[i - 1][j], mx = dp[i][j - 1];
        if (mn > mx) swap(mn, mx);
        if (mn + p <= mx) {
          dp[i][j] = mn + p / 4;
        } else {
          double r = (mx - mn) / p;
          dp[i][j] = (mn + r * (mn + r * p / 2) + (1 - r) * mx) / 2;
        }
      }
    }
  }

  cout << setprecision(9) << fixed;
  cout << dp[r - 1][c - 1] << '\n';

  //for(int i = 0; i <= r; i++)
    //cout << dp[i] << '\n';

  return 0;
}