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Give context-free grammars that generate the following languages: The language consisting of balanced parentheses and square brackets, including the empty string. Example: ([[](()[()][[]])])[]((())) . The

Give context-free grammars that generate the following languages:

  1. The language consisting of balanced parentheses and square brackets, including the empty string. Example: ([[](()[()][[]])])[]((())) .
  2. The language containing non-empty strings with an equal number of a's and b's.
  3. The language containing strings of the form wwRcanb2n, where w is a string of one or more a's and b's; wR denotes the reversal of w, and the superscript n stands for any positive integer, meaning that the end of the string should contain one or more a's followed by twice as many b's as a's.

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