Solution
Grammar
S -> aab | aaaXbbc
Xb -> bX
Xc -> Ybcc
bY -> Yb
aY -> aa | aaX
Sample String
s -> aaaXbbc -> aaabXbc -> aaabbXc-> aaabbbYbcc -> aaabYbbcc -> aaaYbbbcc ->aaaabbbcc
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