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Questions about methods for estimating the increase in runtime of an algorithm as the input size increases.
10
votes
2
answers
1k
views
Multiplication in $O(n\cdot \log n)$
I was looking in here, and I noticed the best runtime for multiplication of two $n$-bits numbers is $O(n\cdot \log n \cdot 2^{O(\log^* n)}$, but I can easily notice an algorithm that runs in $O(n\cdot …
7
votes
1
answer
1k
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Runtime of Euclidean Algorithm
Given two $n$-bits numbers $a$ and $b$, I am not sure on how to find the runtime of the euclidean algorithm for finding the $\gcd$ of $a,b$. The problem (for me) in here is that apart from the size of …