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hw help please!! P6) [(30 pts.) Recurrence solution-Recursion Tree] Consider the following recurrence. We want to find an exact closed form of this equation by
hw help please!!
P6) [(30 pts.) Recurrence solution-Recursion Tree] Consider the following recurrence. We want to find an exact closed form of this equation by using the tree method. T(n)=[28T(2n)+n2whenn=1otherwise a. (5 pts.) Draw out the total work done by this method as a tree. Show the first 3 levels and the last level only. b. ( 5 pts.) Get an expression for the total work, (sum of recursive and base case) c. (15 pts.) Simplify the expression in (b) to a closed form. Hint: You should use the finite geometric series identity somewhere while finding a closed form. d. (2 pts.) What is the simplified big-O bound for T(n) ? i.e assuming n is very large close to infinity. e. (3 pts.) Use Master Theorem to validate your answer above. Show your work Step by Step Solution
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