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Give a context-free grammar (CFG) for each of the following languages {w {0, 1} | w contains at least |w|/2 consecutive 0s} (i.e., all strings

Give a context-free grammar (CFG) for each of the following languages

{w {0, 1} | w contains at least |w|/2 consecutive 0s} (i.e., all strings of the form x0iy

with i |x| + |y|).

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