TADM2E 2.42
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Change the assumptions of the proof.
The paper mentioned is "S. Skiena. Encroaching lists as a measure of presortedness. BIT, 28:775-784, 1988."
Other solution :
$ O(nlog(√n)) $ and $ O(nlog(n)) $ belongs to same class of function with respect to Big O notation. There is no difference between them other than a constant factor.
$ \lim_{x\to\infty} (nlog(√n)) / (nlog(n)) $
= $ \lim_{x\to\infty} 1/2*(nlog(n))/(nlog(n)) $
= $ 1/2 $
