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Design and Analysis of Algorithms Discuss the steps to find approximate solutions to NP-Hard optimization problems using approximation algorithms with an example.20257mDesign & Analysis of AlgorithmsWrite short notes on: Approximation algorithms20227mDesign 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 and Analysis of Algorithms What is the approximation ratio (or performance ratio) of the greedy algorithm for the Vertex Cover problem? (i) 2 (ii) 1.5 (iii) ln n (iv) 120252m