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Hello, I need help with this computer science question. For the alphabet {a, b, c}, let L be the language of all nonempty strings x

Hello, I need help with this computer science question.

For the alphabet {a, b, c}, let L be the language of all nonempty strings x such that:

if x starts with the symbol a, then it ends with the symbol b,

if x starts with the symbol b, then it contains no c, and

if x starts with the symbol c, then it has even length.

Give an FA for L

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