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The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other; thus, a solution requires that no two queens share the same row, column, or diagonal. There are 92 solutions.
A dominating set of the queen's graph corresponds to a placement of queens such that every square on the chessboard is either attacked or occupied by a queen. On an 8 × 8 {\displaystyle 8\times 8} chessboard, five queens can dominate, and this is the minimum number possible [ 4 ] : 113–114 (four queens leave at least two squares unattacked).
The most famous problem of this type is the eight queens puzzle. Problems are further extended by asking how many possible solutions exist. Further generalizations apply the problem to NxN boards. [3] [4] An 8×8 chessboard can have 16 independent kings, 8 independent queens, 8 independent rooks, 14 independent bishops, or 32 independent ...
The white queen starts on d1, while the black queen starts on d8. With the chessboard oriented correctly, the white queen starts on a white square and the black queen starts on a black square—thus the mnemonics "queen gets her color", "queen on [her] [own] color", or "the dress [queen piece] matches the shoes [square]" (Latin: servat rēgīna colōrem).
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Almost Chess: Uses an 8×8 board, with the conventional starting position, but queens are replaced by chancellors (empresses). By Ralph Betza (1977). By Ralph Betza (1977). A related variant is Sort of Almost Chess (Ralph Betza, 1994), where one player has a queen and the other has a chancellor.