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MathNet 2023-part-04 — 191 problems (EN–VI) Question 138

Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)

Question 138

A game is played on the number line. Initially, there is a token placed at the number $0$. In each move, the player can move the token from its current position $x$, to either $x+2023$ or $x-59$. The goal of the game is to move the token to either $1$ or $-1$. What is the minimum number of moves required to achieve this goal?