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Nov 23, 2023 at 16:02 history bounty ended CommunityBot
Nov 22, 2023 at 19:15 history edited kodlu CC BY-SA 4.0
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Nov 22, 2023 at 19:10 comment added fedja Due to the discrete nature of the problem, one would really expect $\frac{n}{\log n}\color{red}{\log\frac n\varepsilon}$ rather than just $\log\frac 1\varepsilon$, which is in full agreement with your observation but still leaves a lot of room for possible improvement when $\varepsilon$ is much smaller than $1/n$.
Nov 22, 2023 at 16:43 history answered Alex Ravsky CC BY-SA 4.0