At least one of the answers above is NOT correct.

$(1$ point$)$ Alice and Bob are conducting Diffie$-$Hellman key exchange with the parameters $p=167$ and $=5$

Their parameters are small and we decide to crack the key exchange.

Suppose Alice is observed sending public key $A=137$ and Bob sends public key $B=105.$

a$)$ What is Alice's private key?

b$)$ What is Bob's private key?

c$)$ What is the shared secret?