Magic country and businessman Victor
Source: Kyiv City MO 2022 Round 1, Problem 7.4
January 23, 2022
number theory
Problem Statement
In some magic country, there are banknotes only of values , , hryvnyas. Businessman Victor ate in one restaurant of this country for days in a row, and each day (except the first) he spent exactly hryvnya more than the day before (without any change). Could he have spent exactly banknotes?(Proposed by Oleksii Masalitin)