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Totally sympathize with your comment, but, playing devils advocate,

> 26^12 = 9.542895666×10^16

You could say adding 5 special chars "cheaply" doubles (formally) the search space without affecting how many chars users have to memorize.



That's not how entropy works. Yes they've expanded the search space, but not how large the typical set is. The latter is still determined by the user's memory habits.


Isn't that 5 more characters to memorize? I guess I don't understand.




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