IMO 2014 Problem 5
For every positive integer , Cape Town Bank issues some coins that has value. Let a collection of such finite coins (coins does not neccesarily have different values) which sum of their value is less than . Prove that we can divide the collection into at most 100 groups such that sum of all coins’ value does not exceed 1.
IMO 2014 Problem 5 (Day 2)
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Categories: Combinatorics, IMO, Olympiad
Combinatorics, IMO
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July 10, 2014 at 11:45 amIMO 2014 Problem 5  Ragnarok Connection