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1. Draw a three-state NFA N that recognizes L6 = {w {a,b,c}*| w contains strings in which a single b is immediately followed by a

1. Draw a three-state NFA N that recognizes L6 = {w {a,b,c}*| w contains strings in which a single b is immediately followed by a } Hint: Strings in this language will have exactly one b

2. By using the powerset construction from Theorem 1.39 in the book, convert the following NFA into an equivalent DFA. If there are any undeeded states or states that can be combined, you may simplify your DFA.

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a,b b start = 90 91 48

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