min no of cells, with known cover by 1x10 dominos in 1000x1000 chessboard
Source: Balkan BMO Shortlist 2015 C3
August 5, 2019
combinatoricscoveringdominoesChessboard
Problem Statement
A chessboard is covered by dominoes that can be rotated. We don't know which is the cover, but we are looking for it. For this reason, we choose a few cells of the chessboard, for which we know the position of the dominoes that cover them.
Which is the minimum such that after the choice of and knowing the dominoed that cover them, we can be sure and for the rest of the cover?(Bulgaria)