Alice and Bob want to generate a shared secret so they can start a secure online chat session. They agree to use a large prime number n = 997 for a base-2 DH key exchange. Alice selects a private key value of 11 and Bob selects a private key value of 13 (of course, Alice doesnt know Bobs private key, and vice versa). Answer the following questions:

What is Alices public key ?

What is Bobs public key ?

What is their shared secret value ?