Given the following parameters for a Diffie$-$Hellman key exchange, determine the shared secret that the parties $($Alice and Bob$)$ arrive at$.$

Show all intermediary calculation steps for both parties separately. You must use modular or binary exponentiation methods. Use proper notation and clearly explain what you are calculating.

Alice and Bob agree on p $=211$ and g $=35.$ Alice selects a $=27$ and Bob selects b $=39.$