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Please show step-by-step solution. Do not provide incorrect solution. Problem 1: Designing Context-Free Grammar Let 1={0,1,2,# } and 2={a,b}. Consider the following two languages. L1={w2:w

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Problem 1: Designing Context-Free Grammar Let 1={0,1,2,\# } and 2={a,b}. Consider the following two languages. L1={w2:w starts and ends with different letters } L2={w1:w=0i1j2k where i>2j+3k, and j,k0} (a) Design a context-free grammar whose language is L1. (b) Design a context-free grammar whose language is L2

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