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Design grammars for the following languages: 1) The set of all strings of 0s and 1s such that every 1 is immediately followed by at

Design grammars for the following languages:

1) The set of all strings of 0s and 1s such that every 1 is immediately followed by at least one 0.

2) The set of all strings of 0s and 1s that are palindromes; that is, the string reads the same backward as forward.

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