Alice and Bob are conducting Diffie$-$Hellman key exchange with the parameters p$=193$

and $\backslash$alpha $=5$

$.$ Suppose Alice selects private key a$=129$

and Bob selects private key b$=139$

$.$

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

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

c$)$ What is the shared secret?