MathDB

1.4

Part of 2021 Latvia TST

Problems(1)

Game on the board

Source: Latvian TST 2021 Day P4

3/12/2021
Initially, on the board, all integers from 11 to 400400 are written. Two players play a game alternating their moves. In one move it is allowed to erase from the board any 3 integers, which form a triangle. The player, who can not perform a move loses. Who has a winning strategy?
combinatorics