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 are told the white queen is at c5
(zero-indexed at column 2, row 3) and the black queen at f2
(zero-indexed at column 5, row 6), then you know that the set-up is like so:
a b c d e f g h
8 _ _ _ _ _ _ _ _ 8
7 _ _ _ _ _ _ _ _ 7
6 _ _ _ _ _ _ _ _ 6
5 _ _ W _ _ _ _ _ 5
4 _ _ _ _ _ _ _ _ 4
3 _ _ _ _ _ _ _ _ 3
2 _ _ _ _ _ B _ _ 2
1 _ _ _ _ _ _ _ _ 1
a b c d e f g h
You are also 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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