UA-UMO 2021 Problem 118
There are not necessarily different weights, each of which weighs an integer number of grams from g to g. It is known that at any division of these weights into two heaps, the total weight of at least one of the piles is no more than . What is the largest number of grams can weigh all weights?
(Bogdan Rublev)
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.