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winning strategy, first arrives 2021 wins Puerto Rico TST 2021.1

Source:

September 22, 2021
combinatoricsgamewinning strategy

Problem Statement

Ana and Beto are playing a game. Ana writes a whole number on the board. Beto then has the right to erase the number and add 22 to it, or erase the number and subtract 33, as many times as he wants. Beto wins if he can get 20212021 after a finite number of stages; otherwise, Ana wins. Which player has a winning strategy?