Yes, there's some solid theory behind it: https://en.wikipedia.org/wiki/De_Bruijn_sequence https://en.wikipedia.org/wiki/De_Bruijn_sequence It seems that you

Yes, there's some solid theory behind it: https://en.wikipedia.org/wiki/De_Bruijn_sequence https://en.wikipedia.org/wiki/De_Bruijn_sequence It seems that you can do it in 10003 key presses. Calculation for this this exact example is in the Wikipedia page.