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Found problems: 1

2020 Kosovo National Mathematical Olympiad, 2
Tags: combinatorics , olympi
A natural number $n$ is written on the board. Ben plays a game as follows: in every step, he deletes the number written on the board, and writes either the number which is three greater or two less than the number he has deleted. Is it possible that for every value of $n$, at some time, he will get to the number $2020$?