Recent questions tagged recurrence-relation

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The recurrence relation capturing the optimal execution time of the Towers of Hanoi problem with $n$ discs is:$T(n)=2T(n-2)+2$$T(n)=2T(n/2)+1$$T(n)=2T(n-1)+n$$T(n)=2T(n-1...
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Suppose $T(n)=2T(n/2)+n$, $T(0)=T(1)=1$ which one of the following is false?$T(n)=O(n^2)$$T(n)=\Theta(n\log n)$$T(n)=\Omega(n^2)$$T(n)=O(n\log n)$
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For parameters $a$ and $b$, both of which are $\omega(1)$, $T(n) = T(n^{1/a})+1$, and $T(b)=1$. Then $T(n)$ is$\Theta (\log_a \log _b n)$ $\Theta (\log_{ab} n$)$\Thet...
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