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Prove that the PCP (Post Correspondence Probelm) is undecideable (unsolvable) over the binary alphabet = {0,1}, but it is decidable over unary alphabet = {1}.

Prove that the PCP (Post Correspondence Probelm) is undecideable (unsolvable) over the binary alphabet = {0,1}, but it is decidable over unary alphabet = {1}. (Given that the problem is undecidable for in general case.)

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