(6 pts) Consider the prime p= 9973 and the primitive element g=11. (a) Show the steps of the Diffie-Hellman between Alice and Bob such that they select the secret values as a = 4096 and b = 8192. What are the values of g and g? What is the value of the agreed secret key? (b) Assume the adversary captures y = 1985 for an unknown x such that y = 11% (mod p). How many such x exist and why so? How many values of x you must (exhaustively) search to find x? (c) Assume the adversary captures y = 1985 for an unknown x such that y = 2.2 (mod p). How many such x exist and why so? How many values of x you must (exhaustively) search to find x