set of weights - All-Russian MO 2004 Regional (R4) 8.2
Source:
September 27, 2024
combinatoricsweighings
Problem Statement
There is a set of weights with the following properties:
1) It contains 5 weights, pairs of different weights.
2) For any two weights, there are two other weights of the same total weight.
What is the smallest number of weights that can be in this set?