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Yes, at least if she can move freely. There are always 14 moves in horizontal and vertical directions regardless of the location she stands. (This is similar to a rook.) For diagonal moves we think of a Bishop; standing on the edge or one of the corners it will cover 7 squares diagonally. Now think the chessboard as it comprises concentric squares, or "contours". On the outmost contour, i.e. edge of the board the bishop covers 7 squares. On the next inner contour the bishop covers 9 squares; on the next inner contour it covers 11 squares. And finally on the innermost contour, that is either of the 4 centre squares the bishop can cover a maximum of 13 square.

As Queen = Rook + Bishop, she can cover either 21, 23, 25, or 27 squares depending on the "contour" where she stands.

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