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Omni-MATH / In a 999×999 square table some cells are white and the remaining ones are red. Let T be the number of triples (C₁,C₂,C₃) of cells, the first two in the same row and the last two in…

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problem

In a 999×999999 \times 999 square table some cells are white and the remaining ones are red. Let TT be the number of triples (C1,C2,C3)(C_1,C_2,C_3) of cells, the first two in the same row and the last two in the same column, with C1,C3C_1,C_3 white and C2C_2 red. Find the maximum value TT can attain. [i]
Plain-text mathematical notation (without MathML)
In a 999×999 square table some cells are white and the remaining ones are red. Let T be the number of triples (C₁,C₂,C₃) of cells, the first two in the same row and the last two in the same column, with C₁,C₃ white and C₂ red. Find the maximum value T can attain.

[i]
Original LaTeX notation
In a $999 \times 999$ square table some cells are white and the remaining ones are red. Let $T$ be the number of triples $(C_1,C_2,C_3)$ of cells, the first two in the same row and the last two in the same column, with $C_1,C_3$ white and $C_2$ red. Find the maximum value $T$ can attain.

[i]

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Source and history

task_id
80308c0f-92e2-5fa3-aac5-c4b3e7ea8118
task_key
test--80308c0f-92e2-5fa3-aac5-c4b3e7ea8118
task_revision_id
1
config / split
/ test

Official source

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