Intersection of Parabolas

Time limit1sMemory limit256 MB

Summary

Find the area of the region bounded by the parabolas y=(x-a)^2 and x=(y-a)^2, given a up to 10^18, printed to exactly 10 decimals.

Problem

Find the area of the region bounded by the two parabolas $y=(x-a)^{2}$ and $x=(y-a)^{2}$ .

The first line contains a single integer $a$ ( $1 \le a \le 10^{18}$ ).

Print the answer with exactly $10$ digits after the decimal point, using the standard rounding rules.