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Please show step-by-step solution. Do not provide incorrect solution. Problem 1: Designing Context-Free Grammar Let 1={0,1,2,3} and 2={a,b}. Consider the following two languages. L1={w2 :

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Problem 1: Designing Context-Free Grammar Let 1={0,1,2,3} and 2={a,b}. Consider the following two languages. L1={w2 : the length of w is divisible by three } L2={w1:w=0i1j2k3mwherei=m,j3k+2andi,j,k,m0} (a) Design a context-free grammar whose language is L1. I (b) Design a context-free grammar whose language is L2

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