A discrete mathematics problem by soumyaranjan ram
Discrete Mathematics
Level
4
On a large \( 999 \times 999 \) board, each cell is colored either white or black.
Define a coordinated triple of cells \( (C_1, C_2, C_3 ) \) as the formation such that
- \(C_1\) and \(C_2\) are in the same row;
- \(C_2 \) and \(C_3\) are in the same column;
- \(C_1\) and \(C_3\) are white;
- \( C_2 \) is black.
What is the maximum number of coordinated triples? Enter your answer as the last three digits of that maximum.
by
soumyaranjan ram