1:19 AM
2:14 AM
22 hours later…
11:48 PM
@Evil Oh, I was saying it would be possible to construct some algorithms in general that hide insanely massive constants
But I feel like specifically choosing a problem to make a linear time algorithm with a massive constant is cheating
I was interested in the existence of naturally occuring, practical problems with misleading big O runtimes
A galactic algorithm is one that runs faster than any other algorithm for problems that are sufficiently large, but where "sufficiently large" is so big that the algorithm is never used in practice. Galactic algorithms were so named by Richard Lipton and Ken Regan, as they will never be used on any of the merely terrestrial data sets we find here on Earth.
An example of a galactic algorithm is the fastest known way to multiply two numbers, which is based on a 1729-dimensional Fourier transform. This means it will not reach its stated efficiency until the numbers have at least 21729 digits, which...
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