Can an 8-Puzzle Be Unsolvable?
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Manhattan distance is a consistent heuristic for the 8-puzzle problem and A* graph search, equipped with Manhattan distance as a heuristic, will indeed find the shortest solution if one exists. Please log in or register to add a comment.
What are some of the unsolved problems in mathematics?
Unsolved problems remain in multiple domains, including physics, computer science, algebra, additive and algebraic number theories, analysis, combinatorics, algebraic, discrete and Euclidean geometries, graph, group, model, number, set and Ramsey theories, dynamical systems, partial differential equations, and miscellaneous unsolved problems.
How to find if given state is solvable?
Given a 3×3 board with 8 tiles (every tile has one number from 1 to 8) and one empty space. The objective is to place the numbers on tiles in order using the empty space. We can slide four adjacent (left, right, above and below) tiles into the empty space. How to find if given state is solvable?
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