Ehh, it's up to you whether the floors are different areas or not. If you're really afraid of Brawly, I'd say count them differently; then, you might get a Sableye, and not a single one of his Pokčmon can do any damage to it whatsoever. They only have Normal, Fighting, and Psychic attacks, and Sableye's immune to all three. I think one or two of the gym trainers might have Foresight, which would make it weak to Fighting instead of immune, but I know none of Brawly's Pokčmon have it, and it wouldn't be too hard to just switch to another Pokčmon as soon as Foresight is used.
I don't have a signature because I can't think of anything interesting to put in it. But hey, better than an enormous ugly banner that takes five seconds to scroll past, right?