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recursive algorithms - Recursion tree T(n) = T(n/3) + T(2n/3) + cn - Mathematics Stack Exchange

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I have a task: Explain that by using recursion tree that solution for: $T(n)=T(\frac n3)+T(\frac {2n}{3})+cn$ Where c is constance, is $\Omega(n\lg n)$ My solution: Recursion tree for $T(n)=T(\fra

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Recursion tree T(n) = T(n/3) + T(2n/3) + cn

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Algorithms: T(n) = T(n/4) + T(3n/4) +n