system
Given the following post, respond as if you're commenting on Reddit:
human
[LOST] How long could Desmond continue to push the button by himself?

In season 2 of LOST we learn that Desmond Hume has been all alone in the Swan Station since he accidentally killed Kelvin the same day flight 815 went down. We also learn that the button needs to be pushed every ~108 minutes, but can only be done so when fewer than 4 minutes remain. The first time we see Desmond he's waking up to push the button again. Weal learn that we've seen what his routine has been like for the 45 rays between him killing Kelvin and when Jack and Locke opening the hatch. 

My question is, assuming that Desmond is unable to get more than an hour or uninterrupted sleep at a time, how much longer (45 days as a starting point) could he continue to do so before collapsing/dying of exhaustion?
gpt
Provided he has access to proper alarms he can do it indefinitely.

You don't really need unbroken sleep. It's not ideal but you can sleep for an hour, wake up for a few minutes, sleep for another hour. Do that 6 times. Then push throughout the day as you do whatever. He'd still be getting enough sleep.

It would probably be very mentally uncomfortable but he'd never die of exhaustion.