Code for exercises about the Josephus problem from Knuth's Art of Computer Programming, Volume 1.
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Josephus Problem (Improved)

a.k.a., The Sushi Boat Problem

There are n plates of sushi on sushi boats. Each plate of sushi is labeled 1 to n and is arranged in a linked circle of sushi boats. The sushi boats move by in a small canal in front of you.

Beginning at plate 1, you count m plates of sushi, stopping at every mth plate to eat it. When you eat a plate of sushi, you remove the numbered plate from the boat.

In what order will the plates be stacked on our plate, starting with the top plate?