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.
Heresy! The staff should assign the initial wave of guests to EVEN numbered rooms with a dark chocolate on their pillow. Future assignments must be to 4n+1, 8n+3, 16n+5…
Your heretical tyrany of the highest order will be purged. Only the pure must survive.
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.
Heresy! The staff should assign the initial wave of guests to EVEN numbered rooms with a dark chocolate on their pillow. Future assignments must be to 4n+1, 8n+3, 16n+5…
Your heretical tyrany of the highest order will be purged. Only the pure must survive.
Nah they should have just assigned them to every prime room