It would be useful to design beginner levels so that there are no states you can get into but not solve the puzzle from. I believe it's easily possible to make

It would be useful to design beginner levels so that there are no states you can get into but not solve the puzzle from. I believe it's easily possible to make puzzles where you can move into a subgroup that doesn't include the solution. Where that's possible you really want to solve the whole thing mentally before moving any pieces. This seems like a visualized version of the logic problems on the LSAT (and used to be on the GRE?).