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Grid Placement Game Maximum Pieces

2425MasterCombinatoricsGame Theory

Bulgarian Mathematical Competitions

A table with $m$ rows and $n$ columns is given. At any move one chooses some empty cells such that any two of them lie in different rows and columns, puts a white piece in any of these cells and then puts a black piece in the cells whose lines and columns contain white pieces. The game is over if it is not possible to make a move. Find the maximum possible number of the white pieces that can be put on the table.
0 students attempted0% solvedRating 2425

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