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Transform the following left recursive BNF grammar into an equivalent non-left recursive grammar (S and A are nonterminal symbols; S is the start symbol; a

Transform the following left recursive BNF grammar into an equivalent non-left recursive grammar (S and A are nonterminal symbols; S is the start symbol; a and b are terminal symbols): S -> aSb | bAS A -> AaA | bAA | AAa | bAb

CAUTION: Make sure ALL left recursion is eliminated.

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