Alice and Bob utilize Diffie-Hellman key exchange protocol with common prime modulus p = 11 and common base a = 2. Eavesdropper who knew p and noted that number Alice sent to Bob was yA = 9 and the number Bob sent to Alice was yB = 3.
a. Determine Alice's secret random number xA?
b. What was common secret key K generated for Alice and Bob by protocol?