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Let A = { a , b } . Construct an automaton M which will precisely accept those words over A which end in two

Let A={a, b}. Construct an automaton M which will precisely accept
those words over A which end in two bs.[corresponding Language L=L(r) is regular because is
generated by the regular expression r=(a\cup b)bb. Really, L(r)=(L(a\cup b))L(b)L(b)]=x{b}{b}, x is any
word (string) in a and b.

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