LogicalAndReasoning
Intermediate
Joe puts $63$ cards, number from $1$ to $63$, on a regular chessboard in sequence. The last space on the chessboard is left empty. A card can be moved to a neighboring space if that space is empty. Joe wants to just switch the card $1$ and card $2$, but leave all other cards at their original spaces, after a series of moves. Is it possible?