In what concerns the continuous evaluation solving exercises grade during the semester, you should submit until 23:59 of October 19th
(this exercise will still be available for submission after that deadline, but without couting towards your grade)
[to understand the context of this problem, you should read the class #02 exercise sheet]


[IP005] E-I-E-I-No

The fast food industry is shaking things up! McDonald's has changed their classic circular burgers to square-shaped ones. Are you eating less burger for the same price?

The Problem

Write a program that, given the diameter D of a circular burger, calculates the side length A of a square burger that has the same surface area. Use pi as 3.14159 for your calculations. Round the side length A to three decimal places.

Input

A line containing single floating-point number D representing the diameter of the circular burger.

Output

The output should be a single line displaying the side length A of the square burger, rounded to three decimal places.

Constraints

The following limits are guaranteed in all the test cases that will be given to your program:

0 < D < 1000       The diameter of a circular burger

Example Input 1 Example Output 1
8.89
7.879

Example Input 2 Example Output 2
7.62
6.753

Introduction to Programming (CC1024)
DCC/FCUP - University of Porto