Control Weights
Source: Tournament of Towns Spring 2017 Junior A-level
January 30, 2018
combinatoricsnumber theoryRussia
Problem Statement
There is a set of control weights, each of them weighs a non-integer number of grams. Any
integer weight from g to g can be balanced by some of these weights (the control
weights are on one balance pan, and the measured weight on the other pan).What is the
least possible number of the control weights?(Alexandr Shapovalov)