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(542) 3

Part of 1997 Tournament Of Towns

Problems(1)

TOT 542 1997 Spring S A3 - 20 weights

Source:

9/11/2024
You are given 2020 weights such that any object of integer weight mm, 1≤m≤19971 \le m \le1997, 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 2020 weights if the weights are (a) all integers; (b) not necessarily integers?
(M Rasin)
combinatoricsweighings