There are 12 pirates, each having some amount of gold dust.
Everyday, a maximum of 3 pirates get together for a meeting, where those who are not in attendance must not all have the same amount of gold dust. During this meeting, these pirates pool their gold dust together and then divide it equally amongst the attendees.
Is it possible for the pirates to meet indefinitely?
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Oops I put the answer I did not mean to put I was going to say No because the same pirates could meet each day. I don't see the flaw in my logic. Consider pirates with gold dust amounts 2,2,2,4,5,6,7,8... 12. The first 3 pirates could just meet each day indefinitely. Or even a single one could meet with himself, since it is a maximum amount of pirates.