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A KING CANNOT move to any square that is ATTACKED by an enemy piece.
In this position the KING can only move to d4, d5 and f5.
It CANNOT move to d3, e3 or f3 because of the black rook.
It CANNOT move to e5 or f4 because of the black bishop.
If you move any other piece to a square where it is attacked it runs the risk of getting taken.
But you CANNOT move the KING to an attacked square just as you CANNOT move a rook along a diagonal or a bishop along a rank or file.
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