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A string w in {A; C; G; T}* is GC-dense if every substring of w of length at least four is GC-rich. (a) Show that

A string w in {A; C; G; T}* is GC-dense if every substring of w of length at least four is GC-rich. (a) Show that the set of GC-dense strings in {A; C; G; T}* is regular. (b) Produce a context-free grammar in Chomsky normal form to generate all GC-dense strings in {A; C; G; T}*.

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