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On paper, draw the state diagram of a finite automaton that accepts the language all strings over { 0 , 1 , 2 , 3

On paper, draw the state diagram of a finite automaton that accepts the language all strings over {0,1,2,3,4,5,6,7,8,9} that represent decimal numbers divisible by 3. Leading 0's are allowed and the empty string should also be accepted. Your finite automaton should not be overly complicated.
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