What goes better with crackers?

Snakes with crossbows.

Just after going through a few examples in my head, the difficulty becomes somewhat more apparent. let’s start with 3. This is odd, so 3(3)+1 = 10. 10 is even so we have 10/2=5.

By this point my intuition tells me that we don’t have a very obvious pattern that we can use to decide whether the function will output 4, 2, or 1 by recursively applying the function to its own output, other than the fact that every other number that we try appears to result in this pattern. We could possibly reduce the problem to whether we can guess that the function will eventually output a power of 2, but that doesn’t sound to me like it makes things much easier.

If I had no idea whether a proof existed, I would guess that it may, but that it is non-trivial. Or at least my college math courses did not prepare me to find one. Since it looks like plenty of professional mathematicians have struggled with it, I have no doubt that if a proof exists it is non-trivial.

Ethern’t.

Yeah, I hear you. Lots of things get said, but little gets done-- I can’t argue with that. But I’m looking for concrete examples because most of the goals and results people are expecting, from my perspective, are things that only get accomplished through legislation. Democrats have recently been focusing on voting rights. A solid voting rights bill would be a solid step toward tackling the issues you mentioned, but in June the most recent bill was voted against by all 50 Republican senators.

What are some examples of manipulation from the Democratic party that you are equating here?

Between the lines of “I don’t want to” reads “I have to”, which is easily disputed if said out loud.

It’s like… 2001 shareware shitpost flavored.

Take 'im away, toys.