k moves on right or lest in 2019 cells
Source: 2019 Chile National Olympiad level 2 p3
October 22, 2022
combinatoricsgamegame strategy
Problem Statement
Javiera and Claudio play on a board consisting of a row with cells. Claudio starts by placing a token anywhere on the board. Next Javiera says a natural number , and Claudio must move the token to the right or to the left at your choice squares and so on.
Javiera wins if she manages to remove the piece that Claudio moves from the board. Determine the smallest such that Javiera always wins after a finite number of moves.