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I personally use a password manager except in a few physical cases where I use the function approach or have just directly memorized the PIN (iPhone, YubiKey pre-fingerprint).

The function approach is a normal password, just that it scales O(1) with your memory for O(N) passwords. The expectation is that if you have a complex enough function it will be non-trivial to back-fit it, this doesn’t necessarily hold for any arbitrary function, of course.




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