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1.4
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
1
1
1
to
400
400
400
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