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Oh, I think there is actually an open room at the hotel but it’s all the way in the back. Just keep rolling, you’ll find it.
> go to hilbert hotel
> “currently all the rooms are occupied but maybe we can do something for you”
> get placed in the first room
> woken up every 5 mins and asked to move one room over
Hah i remember getting asked to solve weird stuff with this hotel like: an infinite number of busses contanining infinite people show up at the hotel. How do you sort everyone by bus number? And stuff like that
Assuming an empty hotel the simplest solution i can think of is placing person k from bus b into room 2^b 3^k
For a filled hotel I’d move everyone from room n to room 5^n first I guess.
