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Questions about the science and art of determining properties of algorithms, often including correctness, runtime and space usage. Use the [runtime-analysis] tag for questions about the runtime of algorithms.

4 votes
1 answer
98 views

Is it enough to show the number of steps for certain values of $n$ in order to state an algo...

If I can easily state the number of steps for an algorithms for certain values of $n$, e.g. for $n = 2^k$, where $k$ is a whole number, the number of steps is $n\log n$, is this enough to allow me to …
George Hawkins's user avatar
8 votes
2 answers
6k views

Can we do better than $O(n\log n)$ building a balanced binary tree?

I'm (foolishly it turns out) confident that the answer to this question is no. So why am I asking? Because Dr. Aleksandar Prokopec at EPFL in his parallel programming course introduces a data-structu …
George Hawkins's user avatar