31 – emperor’s banquet

I like this classic problem a lot. My algebra kids were white-boarding this PS; a few groups found certain limited patterns within it, but they’ll need to track their work more systematically to see the full pattern.

Emperor’s Banquet

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You have been invited to the emperor’s banquet.  The emperor is a rather strange host.  Instead of sitting with his guests at his large dining table, he walks around the table pouring oats on the head of every other person.

He continues this process, pouring oats on the head of everyone who has not had oats until there is only one person left.

Where should you sit if you do not want oats poured on your head?

(Remember, this is an invitation from the Emperor, and one would never refuse to attend!)

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