(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

There are infinite rooms in Hilbert Hotel, room

number is natural number 0, 1, 2,

Story: AhQ comes into Hilbert Hotel, but

the waiter Kong Yiji tells him that all rooms

are booked up. AhQ is disappointed. If you

were the waiter, what would you do?

2. If there are n persons q1, q2,

· · · , qn, what

will you do?

3. If there are infinite persons q1, q2,

· · · , qn, · · · ,

is there any solution?

**Basically, I understood 1 and 2, but I am confused about #3.

Please help me about #3! thanks!

2. Relevant equations

N.A.

3. The attempt at a solution

1.The persons in the i-th to (i+n)th rooms moves into the

(i + 1)-th to (i+n+1)th room as follows:

0123

q1q2,q3...,qn,0,1,2,3...

2.h to (i+n)th rooms moves into the

(i + 1)-th to (i+n+1)th room as follows:

0123

q1q2,q3...,qn,0,1,2,3...

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# Homework Help: Hilbert Hotel

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