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I am assuming the answer for part 1 to be a "NO" as the adversary knows the public key he can get the password by offline attack IN part 2 : the answer is "yes" as the public key is freshly generated the cannot get the password and even if he does due to the randomness in B to A the ultimate commuincation transcript cannot be revealed.

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    $\begingroup$ This is too much of a verbatim homework question and is off-topic here. Please see the topic guidelines. $\endgroup$ – Marc May 19 at 6:53

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