- #1
Shing
- 144
- 1
Homework Statement
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!
Homework Equations
N.A.
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...