Noticed this at meander lawn who has a really broad puzzle blogroll… I don’t really know what I’m doing and may have misinterpreted something, but here goes. (Ahahaha puzzle 33 on 11/22… I wish it was intentional :P)
Draw a path through square centers which enters and exits through the given places. Outside the “ice barns” (the gray things), the path may turn freely but may not self-intersect; inside “ice barns” the path may self-intersect but may not turn. Each ice barn (not necessarily every cell but every region, I think) must be passed over. The path must pass through each given arrow in the given direction.