Why do we sort the left pointer by sqrt(N) in Mo's Algorithm?

Revision en3, by TooGoodToLoose, 2018-09-14 01:14:07

In Mo's Algorithm, we sort the left pointer by using sqrt(N).

However if we consider two left pointers a and b such that a<b then (a/c)<(b/c) where c=sqrt(N). Thus it won't matter if we sort it by a<b or (a/c)<(b/c).

I know I am missing something, but I can't figure it out.

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en3 English TooGoodToLoose 2018-09-14 01:14:07 0 (published)
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en1 English TooGoodToLoose 2018-09-14 01:04:11 345 Initial revision (published)