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並前往https://www.reddit.com/r/math/comments/nno4z/why_arent_all_fifteen_puzzles_solvable/

Why aren't all Fifteen Puzzles solvable? : r/math - Reddit

Now, for the 15 puzzle, you can show that if you take the parity of the permutation of 16 elements (when you include the empty square), and also add in the ...

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