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Design & Analysis of AlgorithmsSolve the recurrence relation T(n) = 2T(n/2) + O(n)20247mDesign and Analysis of Algorithms The recurrence T(n) = T(n/2) + 1 has a time complexity of: (i) O(n) (ii) O(\log n) (iii) O(n \log n) (iv) O(n^2)20242mDesign and Analysis of Algorithms Suppose the number of basic operations in an algorithm is defined as: T(n) = T(n-1) + n, with T(1) = 1. Solve this recurrence using the substitution method and determine the time complexity.20247mDesign & Analysis of AlgorithmsState Master's theorem and find the time complexity for the following recurrence: T(n) = 2T(n^{1/2}) + \log n20237m