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Decoding the mysterious symmetry of the bicycle lock numbers | Bosker Blog
https://bosker.wordpress.com/2014/02/25/decoding-the-mysterious-symmetry-of-the-bicycle-lock-numbers/
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Suppose you have a lock of this sort that has n dials and k numbers on each dial. Let m(n, k) be the minimum number of turns that always suffice to open the lock from any starting position, where a…