Celejar wrote:
In Hilbert's hotel, when all the rooms are full and a new guest
arrives, the management just moves everyone down one room and places
the newcomer into the first room, which is now vacant.
When a countably infinite number of new guests arrive, he accomodates
them by moving each current guest into the room with the number
2x his current, so guest in room 1 goes to room 2, guest in room
2 goes to room 4, etc. This frees up rooms 1, 3, 5, 7, etc.,
into which he places the new guests, by placing guest n into
room with number 2n-1, so guest 1 goes into room 1, guest 2
goes into room 3, etc.
Ask me about the machine and the ping pong balls some time.
Mike
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p="p=%c%s%c;main(){printf(p,34,p,34);}";main(){printf(p,34,p,34);}
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