Bambula carries weights
Source: Saint Petersburg olympiad 2024, 9.2
September 21, 2024
algebracombinatorics
Problem Statement
A strongman Bambula can carry several weights at the same time, if their total weight does not exceed kg, and these weights are no more than three. On the way to work, he injured his finger and found that he could now carry no more than two weights (and still no more than kg). At what minimum is the statement true: any set of weights that Bambula could previously carry in runs, with a sore finger, he will be able to carry in no more than runs?