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Solve the following recurrence relations using the Master Theorem. Show your work. (37)+cn, if n>1 C, if n = 1 T(n) = T(n) =

Solve the following recurrence relations using the Master Theorem. Show your work. (37)+cn, if n>1 C, if n =

Solve the following recurrence relations using the Master Theorem. Show your work. (37)+cn, if n>1 C, if n = 1 T(n) = T(n) = (97 (1) + cn, if n > 1 C, if n = 1 (from the Toom-Cook 3-way Algorithm for multiplying integers) What is the worst-case running time for an efficient algorithm for creating a max-heap, which takes as input an unsorted array of n integers? (5 points) Solve the following recurrence relations using the Master Theorem. Show your work. (37)+cn, if n>1 C, if n = 1 T(n) = T(n) = (97 (1) + cn, if n > 1 C, if n = 1 (from the Toom-Cook 3-way Algorithm for multiplying integers) What is the worst-case running time for an efficient algorithm for creating a max-heap, which takes as input an unsorted array of n integers? (5 points)

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Problem 1 Tn 3Tn2 cn if n1 C if n 1 Solution This recurrence relation satisfies the conditions of the Master Theorem with a 3 b 2 and fn cn The Master Theorem states that the solution to this recurren... blur-text-image

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