Odd binary numbers

Example: C $=\{00000001,0101,111111,$ etc.$\}$

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 divided into two separate Python files.

The function$($s$)$ and program must be designed from scratch.