text: An excellent question.  Here's what to do:\n\nCoach sends the first guy to room #1 and tells him to say "Coach says this is my room.  Move to the next one, and pass it on."  So he moves into room #1 and bumps the guy in #1 to #2, who bumps the guy in #2 to #3, etc.  \n\nIn most hotels, you eventually get to a guy who was bumped out of his room and has no place to go because he was in the last room and the hotel was full, causing a problem.  But this is Hotel Infinity, so that kind of problem can never happen, even when every single room in the hotel has somebody in it, because there is no last room.  \n\nAs soon as the first guy gets moved into room #1, coach sends the next new guy into room #1 and bumps everybody again, just like you just did.  When coach gets his 10 new guys moved in, he hits the showers.