Question: Prove that the following DFA accepts all strings representing numbers base 10 whose digits sum to a value that is divisible by 4 and nothing

Prove that the following DFA accepts all strings representing numbers base 10 whose digits sum to a value that is divisible by 4 and nothing else. Use induction on the length of input strings.

	0,4,8	1,5,9	3,7	2,6
*--> q0**	q0	q1	q3	q2
q1	q1	q2	q0	q3
q2	q2	q3	q1	q0
q3	q3	q0	q2	q1

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