No way for elementary. It's by far too difficult. Bachelor sounds about right.
It's really a great level, very interesting. I had big fun at solving it.
Because of VisD and Tilu's comments here, I guess an explanation is needed: I wrote elementary when I published. The level had 114 steps, by then, which is much easier to find.
After FlashBack found 98 steps path, the level became bachelors, which is OK, I guess.?