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The "God's Number"—the maximum number of moves required to solve any given configuration—has been established for various sizes. For the 3x3x3, it is 20 moves. However, for the generalized nxnxn, the algorithmic complexity increases. Solving an arbitrary nxnxn cube requires algorithms that can handle both the increasing number of pieces and the changing nature of the puzzle mechanics (e.g., the lack of fixed centers in even-numbered cubes). Kociemba’s Two-Phase Algorithm : The most common algorithm
Optimal 3x3 Base: hkociemba/RubiksCube-OptimalSolver for the most efficient 3x3 finish. dwalton76/rubiks-cube-NxNxN-solver - GitHub
# Example Usage: cube = RubiksCube(5) # Create a 5x5x5 cube solve_cube(cube) # Solve the cubeKociemba’s Two-Phase Algorithm: The most common algorithm for "optimal" or near-optimal solutions, used in various Python simulators.