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Yes, without repeating! The Towers of Hanoi game is a clue.

Neevivat ng n (eryngviryl) fvzcyr fbyhgvba vf fvzvyne gb ubj fbyhgvbaf sbe Gbjref bs Unabv ner perngrq, ohg gung'f qbja gur yvar naq rkcynvarq ng gur raq.

(+1)

I worked out the solution for level 2 on paper, and then eventually I worked out what to do with that to help me with level 3.