Problem: 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}.

Examples

Input

2 3


Output

1.2000000000


Input

100 99


Output

49.7487437186

Solution (in CPP):

Solution:
#include <bits/stdc++.h>

#define stirng string
#define vvi vector<vector<int>>
#define vi vector<int>
#define rep(i, n) for (int i = 0; i < (n); i++)
using namespace std;

const int INF = 1e9 + 7;

int main() {
  double a, b;
  cin >> a >> b;
  printf("%f\n", (a * b) / (a + b));
  return 0;
}