Find the area of the region bounded by the following two parabolas: y=(x−a)^{2} and x=(y−a)^{2}.
Input
The first line contains a single integer a (1 ≤ a ≤ 10^{18}).
Output
Print the answer to the problem with exactly 10 digits after the decimal point, using the standard rounding rules.
Sample
input  output 

2
 7.6666666667

Problem Author: Alexey Danilyuk
Problem Source: Petrozavodsk Summer 2018. t.me/umnik_team Contest