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For various problems related to dividing a resource among several parties.

18 votes

Dividing a cake between $n-1$, $n$, or $n+1$ guests

Writing down the details of the argument of Ilya Bogdanov, we can obtain the following upper bound: Theorem. $f(n)\le\frac83n-1$ for every $n\ge 2$. Proof. If $n=3k+1$ or $n=3k+2$, then following th …
Taras Banakh's user avatar
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