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On a large 999×999 999 \times 999 999×999 board, each cell is colored either white or black.
Define a coordinated triple of cells (C1,C2,C3) (C_1, C_2, C_3 ) (C1,C2,C3) as the formation such that
What is the maximum number of coordinated triples? Enter your answer as the last three digits of that maximum.
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