Just make each room half the size of the preceding one and you can fit all the rooms in twice the length of the first room. Also solves the problem that, when m

Just make each room half the size of the preceding one and you can fit all the rooms in twice the length of the first room. Also solves the problem that, when moving from room n to 2n, the guy in room one has only to walk to next room while the poor guy in room Graham's number has quite a journey ahead of him. Please address complaints about narrow rooms that can not even fit a single proton to the manager.