Given the position of two queens on a chess board, indicate whether or not they are positioned so that they can attack each other.
In the game of chess, a queen can attack pieces which are on the same row, column, or diagonal.
A chessboard can be represented by an 8 by 8 array.
So if you're told the white queen is at (2, 3) and the black queen at (5, 6), then you'd know you've got a set-up like so:
_ _ _ _ _ _ _ _
_ _ _ _ _ _ _ _
_ _ _ W _ _ _ _
_ _ _ _ _ _ _ _
_ _ _ _ _ _ _ _
_ _ _ _ _ _ B _
_ _ _ _ _ _ _ _
_ _ _ _ _ _ _ _
You'd also be able to answer whether the queens can attack each other. In this case, that answer would be yes, they can, because both pieces share a diagonal.
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