Question: 4. Let T(n) be any positive-valued function defined for all integers n1 by the following recurrence: T(n)=3T(n/3)+3T(2n/3)+n3 Find an expression f(n), as simple as possible,

4. Let T(n) be any positive-valued function defined for all integers

4. Let T(n) be any positive-valued function defined for all integers n1 by the following recurrence: T(n)=3T(n/3)+3T(2n/3)+n3 Find an expression f(n), as simple as possible, such that T(n)=O(f(n)). Use the Recursion Tree method to prove that your answer is correct. (5 pts)

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