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A Permutation Transversal Achievement Game on a Grid

Two players alternately write O's (first player) and X's (second player) in the unoccupied cells of an n x n grid. The first player (if any) to occupy some transversal (i.e., a set of n cells having no two cells in the same row or column) is the winner. What is the outcome of the game given best possible play by both players?

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Two players alternately write O's (first player) and X's (second player) in the unoccupied cells of an n x n grid. The first player (if any) to occupy some set of n cells with having no two cells in the same row or column is the winner. What is the outcome of the game given best possible play by both players?

show/hide this revision's text 1

A Permutation Achievement Game on a Grid

Two players alternately write O's (first player) and X's (second player) in the unoccupied cells of an n x n grid. The first player (if any) to occupy n cells with no two cells in the same row or column is the winner. What is the outcome of the game given best possible play by both players?