Let = {0,1} and let B be the collection of strings that contain at least one

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Let Σ = {0,1} and let B be the collection of strings that contain at least one 1 in their second half. In other words, B = {uv| u ∈ Σ*, v ∈ Σ*1 Σ* and |u| ≥ |v|}.

a. Give a PDA that recognizes B.

b. Give a CFG that generates B.

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