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Problem 2 (4pts): Suppose that Alice's RSA public key is ( N , e ) = ( 3569 , 5 ) with p = 43 , q =
83 . A) Find her private key, d. B) If Bob encrypts the message M = 26 using Alice's public key,
find the ciphertext C . C) Let S be the result when Alice digitally signs the message M = 26 ,
then find S . D) If Alice receives the ciphertext C = 13 from Bob, then find Bob's message M .

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