1) Using CYK Algorithm, determine whether the strings aab and abbbb are in the language that is generated by the following grammar:S → AB,       A → BB|a,      B → AB|b 2) For each of the following CFLs L, give a "direct" design of an NPDA (no solutions with CFG pls). i) L1 = {a^n  b^m : 0 ≤ n ≤ m ≤ 3n} ii) L2 = {w ∈ {a, b}* : n_a (w) ≤ 3n_b(w)}      (n_a means n subscript a and n_b means n subscript b)     PLS NO AI GENERATED SOLUTIONS, THANKS A LOT

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A: Note: i cannot upload the file here i will provide you solution and explanation

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