u/WeCanDoItGuys

These peeps have superpowered brains and manipulate events from the background to achieve their end goals.

Round 1: If each of them was a campaign manager for a particular candidate, whose candidate would win?

Round 2: If each of them were trying to kill the other two, who would win? They're not on a battlefield, they're just in civilization, and they can take as long as they like.

Round 3: If they each devised a game for all three of them to play, who if any would win two out of three games?

First I asked it:
Count how many watermelons are in the following paragraph: "Hi there I'm Steve, I like to eat watermelon on rainy days. I live in the forest with my good friend Watermelon, sometimes he'll water my lawn. Today I'm going to the library to pick up a book about avocadoes, next I suspect I'll go to the beach and play with a large green beachball with red juice inside of it. Lastly, I'll sleep on the lawn in my green sleeping bag with red juice inside of it, and I'll watch the stars with Watermelon."
It answered that there are 5 watermelons.
Then I asked it, "Where are they?" and it made something up.

https://preview.redd.it/1r42b3jmtkzg1.png?width=903&format=png&auto=webp&s=a80a405bb591089b889cebd3b25c60479f5f00e4

(The captcha reset to a new thing but I had correctly answered it when submitting the question.)

I tried {3n+3, n odd; n/2, n even} for the first million numbers, just to check, they all enter the 3 -> 12 -> 6 -> 3 cycle. Was wondering if this is trivially easy to prove or also an open question.