Five years ago, your rich uncle secretly commissioned the construction of a supercomputer! The purpose of this binary behemoth (the "Very Good Predictor") was to predict, as accurately as possible, every action you would take over the course of these five years. It has managed to do so with 100% accuracy for its entire runtime.

Now, your uncle has approached you with this information, and an offer to participate in a game involving the supercomputer's final prediction.

He has placed two envelopes in a room: Envelope A and Envelope B.

Envelope B contains exactly 1,000 dollars. Envelope A either contains 10,000, 10, or 0 dollars. If the supercomputer correctly predicted your selection of Envelope A alone, it will contain $0. If the supercomputer correctly predicted your selection of both A and B then Envelope A contains only $10. Otherwise the supercomputer predicted that you would not choose A and told your uncle that he could safely put $10,000 in the envelope (which he would oblige).

Now since this is essentially a contest between you and the supercomputer, if the supercomputer correctly predicts your choice, the amount selected is the amount you owe your uncle, otherwise you keep the amount in the envelopes (both). The values in both envelopes is revealed once a selection is made.

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## BMAD

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