Question: Solve the recurrence: T ( n ) = 2 T ( n 2 ) + n l g n . [ Hint: i = 1

Solve the recurrence: T(n)=2T(n2)+nlgn.
[Hint: i=1m1i=lnm+(1).
First, use the changing variables method (Heuristic 2) to transform the recurrence into a new form.
Use the Expansion method on the new form to derive an intelligent guess of T(n). Then, verify the
correctness of the intelligent guess with mathematical induction. ]
Solve the recurrence: T(n)=2T(n2)+nlgn. [Hint: i=1m1i=lnm+(1). First, use the changing variables

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