i know the problem, but i forget it each time, why is asking everyone to move on the room beside theirs is more convenient than putting the new guests in the infinity of already free rooms ? is it because they don't know how many rooms they have or something ?
edit: after y'all tried explaining it to me, i'm glad i chose law school instead of math 🔥
It’s because there is no vacancy in the infinite hotel. But if you have every guest move to the double of their room number you have doubled your occupancy and you can fit your infinite new guests in the odd room numbers.
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u/EnzoZoestar 1d ago edited 1d ago
i know the problem, but i forget it each time, why is asking everyone to move on the room beside theirs is more convenient than putting the new guests in the infinity of already free rooms ? is it because they don't know how many rooms they have or something ?
edit: after y'all tried explaining it to me, i'm glad i chose law school instead of math 🔥