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@khird
So new problem, given a certain number of boxes, and a number of flips per round, how can we determine if it is solvable, and the number of rounds needed to garuntee a solve, assuming an oracle.

@khird
With 4 boxes you have two modes of selecting, adjacent or across, with 5 boxes you also have 2 modes of operation, adjacent or skip one, and you cant do opposite. But with 6 boxes you get 3 modes, adjacent, skip one, or across. I need to think about this some more but i suspect if a certain number of boxes is solvable depends on the number of modes. Compared to number of boxes. It may be (i need to ponder) that 6 boxes is solvable where 5 is not.

@khird
So proof of impossiblity is this.

Imagine you are so unlucky that every time you pick two cups, even if you alternate adjacent and opposite picks, you always keep picking the 2 out of the same 3 cups. In other words your so unlucky you never pick one specific cup.

No matter what you do the state of that one cup is always unknown to you and therefore you can never garuntee you will end any one round in a winning state.

@khird
Mathematically proving there is no solution to a conjecture is often itself an extremely hard task. That said i may be able to articulate why it isnt solvable if i give it some thought.

Any solution relies on first getting the coins to a state where you have 3 coins the same and the state of the 4th is unknown. The problem is i dont see how you can ever deduce the unknown state without an oracle since you can spin it as many times as you want and may always get the same choices every time. Flip it all you want and you can never find the unknown state without an oracle.

@khird without an oracle telling you that you've won i dont think its possible to do because of the random element.

@khird so basically no way to verify when you won you're saying?

yours is "@ mishathings @ mastodon.social" no spaces

@khird as far as i know the smallest N for a garunteed win is 5, you can sometimes win sooner but 5 is the smallest garunteed.

@cosas two random strangers trading property have a free market scenario in that exchange.

@cosas

The USA, however, has significantly fewer people living below the poverty line than cuba.

I specified a range of numbers and as such there are many varied sources for those numbers. The borgen project generally cites the lower end numbers, research journals and economists that have touched on the issue tend to cite much higher numbers for overall poverty (lower for house-hold poverty, though still consistently higher than in the usa). For example this source puts the poverty rate on the higher end of 51%: elestadocomotal.com/2018/08/10

Some other numbers to give you some ideas of how bad poverty in cuba is:

* Only 13% of the population has access to running water 24 hours a day, and only 16% of the population have "easy access" to water at all.

* only 50% of water pumped even makes it to homes, most is lost due to broken pipes

* 40% of homes are falling apart and deemed being in need of "major" repairs

* 35.6% are unemployed

Yea sorry but holding up Cuba as a shining example of ending homelessness was a pretty horrible choice.

@thebiologist1117

@cosas No free-market does not simply mean it isnt manipulated by the government, it means it isnt manipulated by anyone. So no price fixing by individuals or govt, no slavery, no threat of force, no insider trading, etc etc.

@cosas

Cuba, 26% of cubans live in conditions considered to be poverty (based on living conditions). Keep in mind i used the lowest measurement typically used. Other measurements have cuba's poverty rate as being 50% or higher.

Being a communistic country it cant be evaluated in dollars owned, so the methods to derive these numbers come from looking at quality of life. As stated up to 50% or more of their people live a life equivelant to being below the poverty line.

Attached is a picture of what poverty in Cuba looks like. 26% - 50%+ of the population are living in these sorts of conditions.

@thebiologist1117

@cosas

I'm not sure having no homless yet 26% living in abject poverty like conditions is a win. In fact I'd say thats a huge loss.

@thebiologist1117

@cosas Thats only part of the definition. There must be a free-market component where prices are determined by their natural supply and demand and where the market is not manipulated.

@cosas

You specifically said:

> Here I can say that at least in some former socialist countries, some social problems like homelessness, lack of employment were non-existent.

Which specific communist countries did you mean?

@thebiologist1117

@lucifer
Positive. The average two story home cant jump very high at all.

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