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Omni-MATH / In Determinant Tic-Tac-Toe, Player 1 enters a 1 in an empty 3×3 matrix. Player 0 counters with a 0 in a vacant position, and play continues in turn until the 3×3 matrix is complete…

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problem

In Determinant Tic-Tac-Toe, Player 1 enters a 1 in an empty 3×33 \times 3 matrix. Player 0 counters with a 0 in a vacant position, and play continues in turn until the 3×33 \times 3 matrix is completed with five 1's and four 0's. Player 0 wins if the determinant is 0 and player 1 wins otherwise. Assuming both players pursue optimal strategies, who will win and how?
Plain-text mathematical notation (without MathML)
In Determinant Tic-Tac-Toe, Player 1 enters a 1 in an empty 3×3 matrix. Player 0 counters with a 0 in a vacant position, and play continues in turn until the 3×3 matrix is completed with five 1's and four 0's. Player 0 wins if the determinant is 0 and player 1 wins otherwise. Assuming both players pursue optimal strategies, who will win and how?
Original LaTeX notation
In Determinant Tic-Tac-Toe, Player 1 enters a 1 in an empty \(3 \times 3\) matrix. Player 0 counters with a 0 in a vacant position, and play continues in turn until the \(3 \times 3\) matrix is completed with five 1's and four 0's. Player 0 wins if the determinant is 0 and player 1 wins otherwise. Assuming both players pursue optimal strategies, who will win and how?

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Source and history

task_id
cb95f66b-c7f8-5dec-b4d4-a2d3725a7b5e
task_key
test--cb95f66b-c7f8-5dec-b4d4-a2d3725a7b5e
task_revision_id
1
config / split
/ test

Official source

initial import