Alice and Bob wish to create a secret key between them using the Diffie-Hellman key exchange protocol. They select the prime p = 599 and the corresponding primitive root g = 7. Alice chooses her secret integer to be a = 288 and Bob chooses his to be b = 516. Compute the number A that Alice sends to Bob and the number B that Bob sends to Alice. Compute the shared secret Diffie-Hellman key as it would be done on Alice's end