Please read and understand my first question before proceeding. This one should be worse.
pdf files I uploaded to Dropbox:
These puzzles were generated by computer. A good solver has no problem solving them, so I can't just ask for people to find the solutions. That's why I'm just giving the solutions to you up front. Fair warning, these are super hard to solve by hand.
I did think of a different question I could ask, but we need to define some things first.
A Slitherlink of Twos is a typical, square cell, Slitherlink puzzle where each cell is either a "2" or left blank. It may have any grid size, even rectangular ones, just nothing weird like an "L" shape. It must have exactly one loop for a solution.
Let us also define backfill as the process of, having solved a Slitherlink puzzle, going back and filling in each blank cell with the appropriate number for the solution.
As we learned from the previous question, for a Slitherlink of Twos, we would expect that when we backfill a typical puzzle we would at some point be adding ones or threes.
Can you, when you backfill any Slitherlink of Twos, add a zero to a cell?