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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.
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.
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With the presence of more than one puzzle available, pieces of several different cube puzzles can be joined together to make up larger and more complex structures other than the basic 6 faced cube. Some structures are more difficult to construct than others and the more pieces available, the easier it is to find a solution that makes a closed ...
A sliding puzzle, sliding block puzzle, or sliding tile puzzle is a combination puzzle that challenges a player to slide (frequently flat) pieces along certain routes (usually on a board) to establish a certain end-configuration. The pieces to be moved may consist of simple shapes, or they may be imprinted with colours, patterns, sections of a ...
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Solving the puzzle requires a combination of logical techniques. [2] Numbers in each row and column restrict the number of possible values for each position, as do the inequalities. Once the table of possibilities has been determined, a crucial tactic to solve the puzzle involves "AB elimination", in which subsets are identified within a row ...