OPM 2019 Problem 4
- Final day 2
On a board with columns and rows, each of the squares will be painted green or white. In the first and last row, the number of squares painted green must be the same. Furthermore, in the first and last column, the number of squares painted green must also be unequal. How many different ways can you paint the board?
Dataset text AI-MO AoPS. Quoted with source.
Official text: Portuguese Mathematical Olympiad 2019 official paper, page 1.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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