[Solved]: Mergesort with $O(n^2 \log n)$ runtime

Problem Detail: 

I have a task where i need to find a problem in which mergesort has to have a runtime of $O(n^2 \log n)$. In our lecture we said that the runtime is $O(n \log n)$ assuming that every comparison is $O(1)$. I think that I have to work with comparison-complexity but I dont know how to create a runtime of $O(n^2 \log n)$ since mergesort has best and worst-case complexity of $O(n \log n)$. Could anybody help me out creating a problem to achieve a runtime of $O(n^2 \log n)$ ?

Asked By : thedude

Answered By : David Richerby

Remember what $O(\cdot)$ means. You don't need to do anything. Mergesort has a running time of $O(n\log n)$ which is already $O(n^2 \log n)$, $O(2^n)$ and $O(\text{any larger function you want})$.

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Question Source : http://cs.stackexchange.com/questions/42640

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