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This is the third of three problems on the Zeckendorf Theme. Sadly there is still no reference to a village infested by ticks; although this could make an interesting starting point for a future problem!
Rodion, the files are in your e-mail.
Dear Clive, thanks once more! The problem is online and I vaguely suspect I may have some idea, need to try...
Once again this feeling of surprize on "how such problems are invented" at all :)
P.S. when I first read suggestion about ticks I immediately come upon some visualisation of ticks jumping from place to place in connection with Zeckendorf representation, but elaborating may spoil the part of idea :)
Rodion, many thanks for posting the problem so quickly; and Mathias, thanks once more for the rapid confirmation that the checker is working as it should.
Challenging, thank you. The thought and solution process was longer and trickier than the final solution might suggest.