Question: With the Extended Euclidean algorithm we finally have an efficient algorithm for finding the multiplicative inverse in Zm that is much better than exhaustive search.

With the Extended Euclidean algorithm we finally have an efficient algorithm for finding the multiplicative inverse in Zm that is much better than exhaustive search. Find the inverses in Zm of the following elements a modulo m:

i) a=15,m=26 ii) a = 23, m = 999 Note that the inverses must again be elements in Zm and that you can easily verify your answers.

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