Question: (10pts) Given a DFA, M, with alphabet, , and a string s = 818283... $100 that is in L(M). Prove that if the number of

(10pts) Given a DFA, M, with alphabet, , and a string

(10pts) Given a DFA, M, with alphabet, , and a string s = 818283... $100 that is in L(M). Prove that if the number of states in M is 10, then there must be a substring between $45 and 865 that can be repeated an arbitrary number of times and the so modified string will still be in L(M)

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