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Design & Analysis of AlgorithmsWrite Divide - And - Conquer Quick sort algorithm and analyze the algorithm for average time complexity.20247mDesign & Analysis of AlgorithmsAn algorithm is made up of two independent time complexities f(n) and g(n). Then the complexity of the algorithm is in order of: - (i) f(n) \times g(n) - (ii) \max(f(n), g(n)) - (iii) \min(f(n), g(n)) - (iv) f(n) + g(n)20232mDesign and Analysis of Algorithms An algorithm is made up of two independent time complexities f(n) and g(n). Then the complexities of the algorithm is in the order of (i) f(n) \times g(n) (ii) \max \{ f(n), g(n) \} (iii) \min \{ f(n), g(n) \} (iv) f(n) + g(n)20222mDesign and Analysis of Algorithms Answer the following: (i) Describe randomized algorithms. (ii) Write the algorithm for randomized quick sort. (iii) Give the time complexity of randomized quick sort.20247m