Question $4$: $(20$ points$)$

a$)$ Calculate the Diffie$-$Hellman key at Alice and Bob for the following parameters

$p=29,=3,a=15,$ and $b=12$

b$)$ Calculate the Diffie$-$Hellman key at Alice and Bob for the following parameters

$p=37,=10,a=8,$ and $b=15$