8. The evens andthe squares pairedwith the natural numbers
One night, however, it is in fact full, which is to say each and every room is occupied by a guest and much to the dismay of the desk clerk, one more customer fronts up demanding a room. An ugly scene is avoided when the manager intervenes and takes the clerk aside to explain how to deal with the situation:tell the occupant of Room 1 to move to Room 2 says he, that of Room 2 to move into Room 3, and so on. That is to say, we issue a global request that the customer in Room n should shift into Room n+1, and this will leave Room 1 empty for this gentleman!