We now design another DHKE scheme with the same prime p = 467 as in Problem 8.5 of Understanding Cryptography by Christof Paar. This time, however, we use the element ? = 4. The element 4 has order 233 and generates thus a subgroup with 233 elements. Compute kAB for:

1. a = 400, b = 134

2. a = 167, b = 134

Why are the session keys identical?