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This is the second of three problems on the Zeckendorf theme.
Rodion, the files are in your e-mail.
Clive, thanks a lot once more! As much as the first one in Zeckendorf's series looked simple, this one immediately makes impression of "Hey... Eh... Stop... How?" But I remember your usual advice of "trying to work it from smaller examples with pencil and paper - so hopefully even I can do it :) I just start thinking nervously of what the "hard" version will look like!
The problem is online now!
Rodion, Thanks for posting the problem so quickly. Your initial thoughts are precisely the kind of reaction that I hoped the problem would generate. There is a simple way of doing it but the fun part is figuring out what that is. I always like to include a puzzle element with problems whenever that is a possibility.