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A mathematical chess problem is a mathematical problem which is formulated using a chessboard and chess pieces. These problems belong to recreational mathematics. The most well-known problems of this kind are the eight queens puzzle and the knight's tour problem, which have connection to graph theory and combinatorics. Many famous ...
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 problem was first posed in the mid-19th century.
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 chessboard, five queens can dominate, and this is the minimum number possible [4]: 113–114 (four queens leave at least two squares unattacked). There are 4,860 such placements of ...
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 ...
A chess problem theme in which the solution includes pawn promotions to all possible pieces (in orthodox chess, to bishop, knight, rook and queen; in fairy chess, possibly to fairy pieces). anti-Bristol The interference of one black piece by another like-moving one on the same line (if the pieces are on different lines, it is a Holzhausen).
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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(As usual, chess problems with unintended multiple solutions are considered flawed; they are often said to be cooked.) The solution here is: The solution here is: 1.Ka2 2.Ka3 3.Kb4 4.Kc3 5.Kd3 6.Ke2 7.Ke1 8.f1=R 9.Rf2 10.Ke2 11.Kd3 12.Kc3 13.Kb4 14.Ka3 15.Ka2 16.Ka1 17.Ra2 Nb3#