An unusual domain/subdomain setup for multisite?

I’d like to ask a strange question re multisite please.

Are the following domain names and/or setups possible on a multisite setup (using sub directories, not subdomains)? Essentially we want three sites for the domain City01.com and three sites for the domain City02.com but can’t figure out how to do the last two on the list below (it may not be possible).

Main Site = city01.com
Subsites wanted:
City01.com = main site
City01.com/realestate = city01.com/realestate
City01.com/events = city01.com/events
City02.com = city01.com/city02
City02.com/realestate = ??? (city01.com/city02realestate)
City02.com/events = ??? (city01.com/city02events)

We don’t believe subdomains are the answer here because we want the search engines to think of it as 2 or 3 sites. Example:

City01.com
City01.com/realestate
City01.com/events
= one domain in search engines

City01.com
realestate.City01.com
events.City01.com
= three separate domains in search engines

Thanks for any help you have ahead of time.