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Transform the following left recursive BNF grammar into an equivalent non-left recursive grammar (S and A...

  1. 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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