Problem:
Score : 100 points

Problem Statement

In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula:

\frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_3}

Given R_1 and R_2, find R_3.

Constraints

1 \leq R_1, R_2 \leq 100

R_1 and R_2 are integers.

Input

The input is given from Standard Input in the following format:

R_1 R_2

Output

Print the value of R_3.

The output is considered correct if the absolute or relative error is at most 10^{-6}.

Sample Input 1

2 3

Sample Output 1

1.2000000000

Sample Input 2

100 99

Sample Output 2

49.7487437186

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)


/* -------------------------------- Template -------------------------------- */

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstring>
#include <deque>
#include <functional>
#include <iomanip>
#include <locale>
#include <iostream>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define REP(i,n) for(int i=0;i<(int)(n);i++)
#define ALL(x) (x).begin(),(x).end()

using ll = long long;
using ld = long double;

template <typename T> T &chmin(T &a, const T &b) { return a = std::min(a, b); }
template <typename T> T &chmax(T &a, const T &b) { return a = std::max(a, b); }
template <typename T> int len(const T &x) { return x.size(); }

// template<typename T> constexpr T inf = [](){ assert(false); };
// template<> constexpr int inf<int> = 1e9;
// template<> constexpr ll inf<ll> = 1e18;
// template<> constexpr ld inf<ld> = 1e30;

struct yes_no : std::numpunct<char> {
  string_type do_truename()  const { return "Yes"; }
  string_type do_falsename() const { return "No"; }
};

void solve();

int main() {
  std::locale loc(std::locale(), new yes_no);
  std::cout << std::boolalpha << std::setprecision(12) << std::fixed;
  std::cout.imbue(loc);
  solve();
  return 0;
}

using namespace std;

/* -------------------------------- Library -------------------------------- */

/* ---------------------------------- Main ---------------------------------- */

void solve() {
  ld r1, r2;
  cin >> r1 >> r2;
  cout << 1 / (1 / r1 + 1 / r2) << endl;
  return;
}