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Design and Analysis of Algorithms Answer 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.20247mDesign & Analysis of AlgorithmsThe choice of polynomial class has led to the development of an extensive theory called: - (i) computational complexity - (ii) time complexity - (iii) problem complexity - (iv) decision complexity20222mDesign and Analysis of Algorithms What is the primary technique used to prove that a problem is NP-complete? (i) Divide and conquer (ii) Dynamic programming (iii) Polynomial-time reduction from a known NP-complete problem (iv) Space complexity calculation20242mData MiningExplain in detail the concept of Data Reduction and Data Discretization. Explain the major steps involved in Data Preprocessing.20257m