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For each of the following languages, say whether it is context-free. If so, write a CFG or draw a PDA (non-mathematically) that generates the language.

For each of the following languages, say whether it is context-free. If so, write a CFG or draw a PDA (non-mathematically) that generates the language. If not, prove it using the pumping lemma and/or closure properties for CFLs.

(a) L = {a^n2 | n 0}. (a to the power n squared)

(b) L = {ambnc(mn) | m n}

(c) L = {am bn cmn | m, n 0}

(d) L = {an bn cm | m > n}

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