Question: = 1. Let L = {w|we * where [c] = |a| mod 3 } and { a, b, c} a. Design an NFA that recognizes

 = 1. Let L = {w|we * where [c] = |a|

= 1. Let L = {w|we * where [c] = |a| mod 3 } and { a, b, c} a. Design an NFA that recognizes the language L. (15 points) b. Convert this NFA into a DFA. (15 points) c. Does the string cabacb belong to L? Justify your answer with a sequence of transitions and explain why. (10 points)

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