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  • $\begingroup$ The two possibilities after HTHTT in scenario 1 are THHTH and HTHTH. Your solution flips the coins, but doesn't ever move them. $\endgroup$ Commented Apr 15, 2015 at 3:50
  • $\begingroup$ I'm in the middle of editing to clarify that. $\endgroup$ Commented Apr 15, 2015 at 3:56
  • $\begingroup$ Also, the reason my solution doesn't move the coins is because it deals in complete revolutions. $\endgroup$ Commented Apr 15, 2015 at 4:14
  • $\begingroup$ @JoeZ. I think I fully understand what you are doing, but your second to last section, where you explain the strategy, could use some expanding. This description, as it stands, does not cover all cases (you turn the first series of heads you see.. then what?). I get that you can piece together what to do from your entire post's discussion, but it would be nicer if you at some point wrote a simple algorithm that clearly describe's Charlie's decisions in all cases, as if programming a Turing machine. $\endgroup$ Commented Apr 15, 2015 at 6:15
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    $\begingroup$ Yes it is, and I can't think of any way Satan could beat that. But you should convince Charlie beyond all doubt that your strategy works, for all $n$; false hope is a dangerous thing in Hell, so Charlie won't accept any strategy without a proof. $\endgroup$ Commented Apr 15, 2015 at 7:09