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6. Give a context-free grammar generating the language of all strings over alphabet {0,1} with twice as many Os as 1s. For example, strings 001010,

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6. Give a context-free grammar generating the language of all strings over alphabet {0,1} with twice as many Os as 1s. For example, strings 001010, 110000, 010, 100, 010001 are in this language, while strings 0110, 1, 0, 0000000001 are not. Justify correctness of your grammar

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