Timeline for The lights in the hotel
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 11, 2015 at 21:32 | comment | added | Lopsy | @DrLem Whenever you increase $n$ by one, you either get one new lit room or one new dark room. None of the previous rooms change. Therefore, as you increase $n$, the quantity [# of lit rooms] - [# of dark rooms] changes by 1 at a time. So, since it goes from negative to positive, that quantity must at some point be 0. Thanks, I should have included this to start with. | |
| Jan 11, 2015 at 21:27 | comment | added | DrLemniscate | Not necessarily. Since you are playing with integers, it doesn't have to play nicely. It could go directly from 49.999% to 50.001% lightness. | |
| Jan 11, 2015 at 19:47 | history | edited | Lopsy | CC BY-SA 3.0 |
Fixed range. 10^12, not 10^13.
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| Jan 11, 2015 at 19:38 | history | answered | Lopsy | CC BY-SA 3.0 |