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*: small w.r.t. the anti-lexicographic order, which minimizes the first character and maximizes the remaining ones. So AZZZZ is a small string in this order. You might recognise this from my thesis or Pisa DSB talk. But it's such a simple yet strong result, it deserves more attention :)

All are invited to help with a proof of the density [which would be great for an extended version]. I have ideas, but need someone to discuss them with, and it gets a bit more messy than I hoped.

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