Alice and Bob wish to generate a shared private key using Diffie Hellman Key Exchange. They generate the public key p and g for a prime p a generator g of Z^*_P. Alice chooses and secret a elementof_R Z^*_p and Bob chooses b elementof_R Z^*_p. (a) What value does Alice send to Bob? (b) What value does Bob send to Alice? (c) What is Alice and Bob's shared secret key? (d) What "hard problem" is this based off of