Susan is making high-speed videos of falling coffee mugs.
When analyzing the videos she wants to know how big the mugs
are, but unfortunately they all got destroyed during filming.
Susan knows some physics though, so she has figured out how far
they moved between different video frames. The camera was
filming at a speed of $70$
frames per second, which means that at frame $n$, counted from when the mug was
released, the number of millimeters it has moved is
$d=n^2$. The counting of
the frames starts at $0$.
Susan thinks a certain mug is $D$ millimeters high, but to verify
this she needs to find two frames between which the mug has
moved exactly this distance. Can you help her do this?
The input file contains the single positive integer
$D\leq 200\, 000$, the
distance to be measured.
Output two non-negative integers $n_1$ and $n_2$, the numbers of the frames that
Susan should compare. They should fulfill $n_2^2-n_1^2=D$. If no two such
integers exist, instead output “impossible”.
|Sample Input 1
||Sample Output 1
|Sample Input 2
||Sample Output 2