No, after rule 35 it asks you to confirm if this is your final password, then it displays it while you have to retype it into another box. If you do that, you win.
Think the joke is after rule 35 you have successfully created the password but then immediately have to use the mess you were forced to make with a time limit.
0^0 is 1, there's a proof for it in either the gamma function or erfc function, I forgot which but remember deriving it and thinking it was a cool fun fact most people don't know. Do you remember which it is @superduper ?
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