Question: Consider the language over = { a, b, c, e } where L = { u e v | u,v (a U b U c)*

Consider the language over = {a, b, c, e} where L = {uev | u,v (a U b U c)* and the number of 'bc' substrings is the same in u and v}. Is this language context-free? If so, give a PDA that accepts strings in L. If not, prove that the language is not a context-free grammar. If it is not CFL, use the pumping lemma.

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