Around 5 tries. Demoted it from professor to PhD. A fairly easy ordering puzzle with at least one false path. Aesthetically, I prefer walls over unmovable blocks.
Approx. 35 tries. Very nice level. While there is indeed only one path that gets anywhere to close to 194, it's quite hard to see at first glance - takes some analysis/bashing around to become clear. Two decent tricks, to be found exactly where you'd expect them :p
Great level!
At first: too many off :P, then 2 off, and then ... had to find out by trying, which of quite a few possibilities is faster ... Managed in 61 tries.