The human zoo where the top ~250,000k humans live in a "human utopia" and the AI provides while mostly focusing on whatever it decides it's own goals are.

Humanity survives (but we reading this probably don't), the AI treats the living humans like the Emperor's favorite pets (probably a pretty good life), and then the AI does whatever else it deems important.

To what kind of goal that an ASI might decide to pursue would "a quarter billion happy, healthy, free people" be the most efficient solution to?

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