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An FA with four states was sitting unguarded one night when vandals came and stole an edge labeled a. What resulted was a TG that

An FA with four states was sitting unguarded one night when vandals came and stole an edge labeled a. What resulted was a TG that accepted exactly the language b . In the morning the FA was repaired, but the next night vandals stole an edge labeled b and what resulted was a TG that accepted a . The FA was again repaired, but this time the vandals stole two edges, one labeled a and one labeled b, and the resultant TG accepted the language a + b . 1 (i) What was the original FA? (ii) Clearly identify the stolen edges (e.g., which edge was stolen on night 1? on night 2? and which two edges were stolen on night 3?).

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