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prove that the language L over {c,d,e} is not context free. (using pumping lemma for context...

prove that the language L over {c,d,e} is not context free. (using pumping lemma for context free languages)

L= {w ∈ {c,d,e}* : number of c's, number of d's, and number of e's have a common factor greater than 1}
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