Find context-free grammars for the following languages (with n ≥ 0, m≥ 0, k≥ 0): (a) L = {abck: n = m or m < k}. (b) L = {abc: n= m or m‡k}. (c) L = {abck, k=n+m}. (d) L = {abck, k = |nm|}. (e) L = {abck, k=n+2m}. (f) L = {abck, k‡n+m}.
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