05-24-2022, 02:16 PM
One thing that makes this problem hard is - what would a proof of the conjecture actually look like?
One thing you might do is try to disprove the existence of "cycles", i.e. sequences that enter an infinite loop. One such cycle exists, and without much context, here is a paste of the proof that it's the *only* cycle of its kind:
![[Image: aaaaaaaaaaaaa.png]](https://i.ibb.co/JsVbHcZ/aaaaaaaaaaaaa.png)
One thing you might do is try to disprove the existence of "cycles", i.e. sequences that enter an infinite loop. One such cycle exists, and without much context, here is a paste of the proof that it's the *only* cycle of its kind: