OPM 2005 Problem 3
- Final day 1
On a board with rows and columns, each square has a switch and an unlit light bulb. By pressing the switch of a house, the lamp in that house changes state, along with the lamps in the same row and those in the same column (those that are on go out and the that are off light up). For what values of and is it possible to have just one lamp on, by pressing a series of switches?
Dataset text AI-MO AoPS. Quoted with source.
Official text: Portuguese Mathematical Olympiad 2005 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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