Question 92
Rudi and Miljen take turns playing a game on a board. One move consists of selecting two relatively prime positive integers that are already written on the board, erasing them and replacing them with their sum. The player who cannot make a move loses. Rudi plays first. Prove that Miljen has a winning strategy if the initial numbers on the board are
a) 2019 ones
b) 2020 ones.
a) 2019 ones
b) 2020 ones.