Compute the two public keys and the common key for the DHKE scheme with the parameters p$=467,\backslash$alpha $=2,$ and

$1.$ a$=3,$ b$=5$

$2.$ a$=400,$ b$=134$

$3.$ a$=228,$ b$=57$

In all cases, perform the computation of the common key for Alice and Bob. This is also a perfect check of your results.