BdMO TST 2021 NT Exam P3 - For which $n$ does there exist a stable assignment?
Posted: Wed Aug 04, 2021 2:56 am
For an integer $n\geq3$ we consider a circle containing $n$ vertices. To each vertex we assign a positive integer, and these integers do not necessarily have to be distinct. Such an assignment of integers is called stable if the product of any three adjacent integers is $n$. For how many values of $n$ with $3\leq n\leq2020$ does there exist a stable assignment?