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The stackexchange discussion already provides a good answer.

I think there is not much to be said. It is not a puzzle for us to solve, just a neat little mathematical observation.

But bringing it up as a topic, aside from being informative, allows for more varied conversation that is allowed on stack exchange, like exploring alternative modeling approaches. It may not have happened, but the possibility can only present itself given the opportunity

This answer is too grown-up for the forum.