moving piece on nxn board (Ukraine 1998 Grade 8 P3)
Source:
June 3, 2021
combinatorics
Problem Statement
On the lower-left corner of an board there is a piece. In a move a player can move the piece to the adjacent cell up, right, or up-right. Two players alternate moving the piece, and the winner is the one who places the piece on the upper-right corner. Who has a winning strategy?