100 equal rods
Source: 2009 Argentina OMA Finals L3 p4
January 15, 2023
combinatorics
Problem Statement
You have equal rods. It is allowed to split each rod into two or three shorter rods, not necessarily the same. The objective is that by rearranging the pieces (and using them all) can be assembled new rods, all of equal length. Find the values of for whom this can be done.