# Tag Info

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Possibly partial answer, with help from Mohirl's comment: The enumerated answer starts with:

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Turns out that the optimal solution has been known since 1991. The answer is we need $$\left\lceil\frac{7n}{6}\right\rceil$$ gloves to have $n$ doctors operating on $n$ patients without the risk of infecting each other. This number is optimal. Ilan Vardi published it in chapter 10 of Computational Recreations in Mathematica (Addison-Wesley). Both the proof ...

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I just want to point out that

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23

It seems likely that they have Reasoning: Edit for detailed reasoning:

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New opinion What led me to it First guess

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I think that

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A word is in the set $\Pi$ if and only if Examples The image of Earth Hint 1 Hint 2 What do "homo", "cell", "mega" and "micro" have in common? The crown picture Astonishing coincidence

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Explanation

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Another possibility: they ran so when they crossed the finish line

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This question is open to many different solutions, but trying to not add any elements that weren't already mentioned in the question: One such "race" would be the (formerly olympic) sport of

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It seems that the question is not telling enough to have only one acceptable answer. Please specify more details so that there would be only one true answer. My answer is

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First, you go to: Then, And finally,

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