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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.
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 classic textbook example of the use of backtracking is the eight queens puzzle, that asks for all arrangements of eight chess queens on a standard chessboard so that no queen attacks any other. In the common backtracking approach, the partial candidates are arrangements of k queens in the first k rows of the board, all in different rows and ...
From this immediately follows, that a maximum number of 2 * 8 = 16 points (i.e. queens) can be placed on the common 8 × 8 chessboard, so that no row or column will contain 3 queens. But from "row or column" it also immediately follows for me in scope of the Eight queens puzzle, that not even *two* queens may share any row or column (and also ...
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 ...
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).
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Some algorithms are guaranteed to find the optimal solution, while others may only return the best solution found in the part of the state space that was explored. Classic combinatorial search problems include solving the eight queens puzzle or evaluating moves in games with a large game tree, such as reversi or chess.