Erik Reuter wrote:
> 
> So, if I understand your objection, then the easiest way to state it may
> be:
> 
>   If a (devious) warden brings in the prisoners in the sequence
>   RXXRXXRXX....then my solution never terminates.
> 
> Whereas in your solution, there is no such sequence that can stop it
> from terminating.
> 
> Is that a correct statement of your objection?

        Yes.  Your probabilistic solution is still a lot better 
than the crude:  "Pick a prisoner who will count.  When they
reach k visits, have them announce that everyone has visited."
Assuming random visits, P(alligators) goes to zero as k goes 
to infinity.  Yours is alligator free, but might take infinitely
long (with probability zero).

                                        ---David
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