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The eight queens puzzle is a special case of the more general n queens problem of placing n non-attacking queens on an n×n chessboard. Solutions exist for all natural numbers n with the exception of n = 2 and n = 3.
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 ...
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).
Some chess variants use more than a single board per match. Bughouse chess, for example, involves four players playing two simultaneous matches on separate boards. [18] Alice Chess is a popular variant which is usually played on two boards to facilitate the movement of pieces between the boards. [19]
While a chess puzzle is any puzzle involving aspects of chess, a chess problem is an arranged position with a specific task to be fulfilled, such as White mates in n moves. Chess problems are also known as chess compositions because the positions are specially devised, rather than arising from actual games. Chess problems are divided into ...
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