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Question Number 193853 by York12 last updated on 21/Jun/23

$$$$$$\mathit{L}\mathit{e}\mathit{t}\mathit{n}\mathrm{\&}\mathit{k}\mathit{b}\mathit{e}\mathit{p}\mathit{o}\mathit{s}\mathit{i}\mathit{t}\mathit{i}\mathit{v}\mathit{e}\mathit{i}\mathit{n}\mathit{t}\mathit{e}\mathit{g}\mathit{e}\mathit{r}\mathit{s}\mathit{a}\mathit{n}\mathit{d}\mathit{l}\mathit{e}\mathit{t}$$$$\mathit{S}\mathit{b}\mathit{e}\mathit{a}\mathit{s}\mathit{e}\mathit{t}\mathit{o}\mathit{f}\mathit{n}\mathit{p}\mathit{o}\mathit{i}\mathit{n}\mathit{t}\mathit{s}\mathit{i}\mathit{n}\mathit{T}\mathit{h}\mathit{e}\mathit{p}\mathit{l}\mathit{a}\mathit{n}\mathit{e}\mathit{s}\mathit{u}\mathit{c}\mathit{h}\mathit{t}\mathit{h}\mathit{a}\mathit{t}:$$$$\mathit{F}\mathit{o}\mathit{r}\mathit{a}\mathit{n}\mathit{y}\mathit{p}\mathit{o}\mathit{i}\mathit{n}\mathit{t}\mathit{P}\mathit{o}\mathit{f}\mathit{S}\mathit{t}\mathit{h}\mathit{e}\mathit{r}\mathit{e}\mathit{a}\mathit{r}\mathit{e}\mathit{a}\mathit{t}\mathit{l}\mathit{e}\mathit{a}\mathit{s}\mathit{t}\mathit{K}\mathit{p}\mathit{o}\mathit{i}\mathit{n}\mathit{t}\mathit{s}\mathit{o}\mathit{f}\mathit{S}\mathit{E}\mathit{q}\mathit{u}\mathit{i}\mathit{d}\mathit{i}\mathit{s}\mathit{t}\mathit{a}\mathit{n}\mathit{t}\mathit{f}\mathit{r}\mathit{o}\mathit{m}\mathit{p}$$$$\mathit{P}\mathit{r}\mathit{o}\mathit{v}\mathit{e}\mathit{t}\mathit{h}\mathit{a}\mathit{t}\mathit{k}<\frac{1}{2}+\sqrt{2\mathit{n}}$$

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