Question: Consider the language L = {w#n | w, n {a}* and w = a |n|2 }. So aaaaaaaaa#aaa is in L since |n| = 3

Consider the language L = {w#n | w, n {a}* and w = a|n|2 }. So aaaaaaaaa#aaa is in L since |n| = 3 and 32 = 9.

Give an implementation description (algorithm) for a Turing machine that always halts and accepts if w is in L but infinite loops if w is not in L.

Is L regular, context-free but not regular, or not even context-free?

Is L decidable? Explain your answer.

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