problem: using 31 dominoes, where one domino covers exactly two squares, can you cover all the empty squares on this chessboard (which has 62 spaces). if so, how? if not, why?

### Solution

i think everyone’s first inclination is to try and figure out how it is possible. then again, if you’ve heard a bunch of these questions before, you usually know that if the question says “if not, why?” or “prove whether its possible or impossible”, you can infer that it is not possible (otherwise, the question usually just asks for the solution).