Max and Min (Exponential Question?)

[Chaim]

Hi!
I was confuse on this problem
So basically it's one person sharing a piece of donut to another person

And I was stuck on how to find the maxium and minimum of how many people can get the donut and cannot get the donut
I have to put it in an equation form

At first I thought it was like (2^n-1), similar to the story where a peasant tricked the king by asking him to give him 1 coin on the first day, then doubles the next, and the next, which soon becomes big

But for this one, there are 2 people spreading it
So for example: A and B both have a piece of the donut, and A and B both give a piece away
Then the chain keeps going on

What would be the equation for max and min

 

[tkhunny]

EXACTLY how is this different from a model that starts with only one person?

 

[Chaim]

EXACTLY how is this different from a model that starts with only one person?

Ah... well I just tested my theory and saw that there were similar :3 Oopsies

But I'm still confuse on how to find the minimum on how much would be spread then.
Cause 2^(n-1) would be the way to find the maximum of how many was each given

For example: If there are Molly and Bob,
Then Molly and Bob each gave a piece to another person
Therefore 2^(3-1) = 4
3 meaning the number of trades
Since if it started with Molly (1st)
Then it was given to Bob (2nd), which then 2^(2-1) = 2, which are Bob and Molly
Then there would be 4 on the max if you traded 3 times

But how would I find what would be the minimum of the donut spreading apart?

 

[tkhunny]

I do not understand what MAX and MIN mean in this context. Is the situation even bounded?