IMO 2014 - Day 2 Problem 5

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*Mahi*
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IMO 2014 - Day 2 Problem 5

Unread post by *Mahi* » Wed Aug 20, 2014 8:13 pm

For each positive integer $n$, the Bank of Cape Town issues coins of denomination $\frac1n$. Given a finite collection of such coins (of not necessarily different denominations) with total value at most most $99+\frac12$, prove that it is possible to split this collection into $100$ or fewer groups, such that each group has total value at most $1$.
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Nur Muhammad Shafiullah | Mahi

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