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In the game The 7th Guest, the 8th Puzzle: "The Queen's Dilemma" in the game room of the Stauf mansion is the de facto eight queens puzzle. [ 29 ] : 48–49, 289–290 In the game Professor Layton and the Curious Village , the 130th puzzle: "Too Many Queens 5" ( クイーンの問題5 ) is an eight queens puzzle.
Named after the number of tiles in the frame, the 15 puzzle may also be called a "16 puzzle", alluding to its total tile capacity. Similar names are used for different sized variants of the 15 puzzle, such as the 8 puzzle, which has 8 tiles in a 3×3 frame. The n puzzle is a classical problem for modeling algorithms involving heuristics.
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 Fifteen puzzle can be solved in 80 single-tile moves [6] or 43 multi-tile moves [7] in the worst case. For its generalization the n-puzzle, the problem of finding an optimal solution is NP-hard, [8] so it is not known whether there is a practical God's algorithm.
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This is a list of puzzles that cannot be solved. An impossible puzzle is a puzzle that cannot be resolved, either due to lack of sufficient information, or any number of logical impossibilities. Kookrooster maken 23; 15 Puzzle – Slide fifteen numbered tiles into numerical order. It is impossible to solve in half of the starting positions.