TOT 542 1997 Spring S A3 - 20 weights
Source:
September 11, 2024
combinatoricsweighings
Problem Statement
You are given weights such that any object of integer weight , , can be balanced by placing it on one pan of a balance and a subset of the weights on the other pan. What is the minimal value of largest of the weights if the weights are
(a) all integers;
(b) not necessarily integers? (M Rasin)