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# The Solutions to Elmsley ’ s Problem

@inproceedings{Diaconis2006TheST, title={The Solutions to Elmsley ’ s Problem}, author={Persi Diaconis and R V Hughes Graham}, year={2006} }

- Published 2006

We give a formula for the optimal sequence of perfect shuffles to bring a card at position p to the top (or indeed, to any position). This solves a fifty-year-old problem of Elmsley. The argument illustrates elementary group theory and shows how a simple card trick can lead to the edge of what is known.

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