The following is a grammar for regular expressions over symbols a and b only, using + in place of 1 for union, to avoid conflict with the use of vertical bar as a metasymbol in grammars: a) Left factor this grammar. b) Does left factoring make the grammar suitable for top-down parsing? c) In addition to left factoring, eliminate left recursion from the original grammar. d) Is the resulting grammar suitable for top-down parsing?

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