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List of Problems Write in Python: - A function to simulate a deterministic finite automaton (DFA) that (only) recognizes the language ???, where ??? is the first letter of your family name. - A program to input/read input_data, call/execute function, output/print result/output_data. The function must be based on the theory of finite automata! The function may print/report only errors. The function(s) and program must be into two separate Python files. The function(s) and program must be designed from the scratches. C={00000001,0101,111111, etc. }