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PreviousAnswer the following: (i) What is polynomial-time reduction? (ii) How is it used to prove that a problem is NP-complete? (iii) Explain the process of reducing 3-SAT to Vertex Cover.NextWrite short notes on the following: (i) Approximation algorithms. (ii) Why are they important in the context of NP-hard optimization problems? (iii) Describe how approximation algorithms can be applied to the Vertex Cover problem.