1x2 in 2011x2011
Source: 2011 Cuba MO 1.3
September 18, 2024
combinatoricscombinatorial geometrytiles
Problem Statement
We have a board of , divided by lines parallel to the edges into squares. Manuel, Reinaldo and Jorge (at that time order) play to form squares with vertices at the vertices of the grid. The one who forms the last possible square wins, so that its sides do not cut the sides of any unit square. Who can be sure that he will win?