$.$ Design a Mealy machine that simulates detecting fraudulent transactions in a stream of credit card transactions based on input categories: $$ A: Low$-$value transaction. $$ B: Medium$-$value transaction. $$ C: High$-$value transaction. The machine outputs $1($fraud detected$)$ if two consecutive high$-$value transactions $($C$)$ are followed by a low$-$value transaction $($A$).$ Otherwise, it outputs $0.$ Example: $$ Input: B C C A B