2000 balls, weigh 10 or 9.9 - All-Russian MO 2000 Regional (R4) 9.6
Source:
September 26, 2024
combinatoricsweighings
Problem Statement
Among outwardly indistinguishable balls, wines - aluminum weighing 1 g, and the rest - duralumin weighing g. It is required to select two piles of balls so that the masses of the piles are different, and the number of balls in them - the same. What is the smallest number of weighings on a cup scale without weights that can be done?