Uolevi has researched his cars fuel consumption. He has noticed that he is able to drive $e^x + \sqrt{x}$ kilometres with $x$ litres of fuel.

What is the least amount of fuel in litres which is enough to drive $d$ kilometres?

Input

Input contains one decimal number, $d$.

Output

Output the least amount of fuel in litres which if enough to drive $d$ kilometres.

The answer is considered correct if its distance from the correct answer is at most $10^{-6}$.

Constraints

• $1 \le d \le 400$

Example

Syöte:

123.45

Tuloste:

4.79793355