$1.$ We now design another DHKE scheme with the same prime p $=467$ as in Problem $8\mathrm{.}5.$ This time, however, we use the element $\backslash$alpha $=4.$ The element $4$ has order $233$ and generates thus a subgroup with $233$ elements. Compute kAB for

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

ii$.$ a $=167,$ b $=134$

Why are the session keys identical?