(b) Suppose Alice wants to send a message to Bob using RSA. Explain how Alice and Bob generate their keys. (Give the details of the algorithm, including the equations). (4 points) () What is the benefit from the fact that the public key and the private key are interchangeable? How is that property used in communication of two parties? (4 points) (d) Give the equations of how encryption and decryption is done for (1) confidentiality, (11) authenticity, and (111) both confidentiality and authenticity. (7 points) (e)Explain why achieving both confidentiality and authenticity is not possible with a secret (symmetric) key encryption. (2 points)