This is actually an issue caused by the hotel staff not allocating their rooms efficiently. When the first wave of infinite guests showed up, they should have assigned them to odd numbered rooms. Then theres still an infinite number of vacant even numbered rooms.
Even if several more waves of infinite guests show up, you can assign them to rooms numbered 4n+2, 8n+4, 16n+8…
That way, the hotel will always have rooms left over.










I make sure to wet my instrument before fingering it (reed instrument). The bowed string instruments need to be stroked though.