BALTIC-WAY 2018 Problem 1
- Answer
A finite collection of positive real numbers (not necessarily distinct) is balanced if each number is less than the sum of the others. Find all such that every balanced finite collection of numbers can be split into three parts with the property that the sum of the numbers in each part is less than the sum of the numbers in the two other parts.
Dataset text NuminaMath olympiads. Quoted with source.
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m \neq 4
Solutions
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