Minimum number of moves a chess piece has to do in order to pass through all squares of a 8x8 board from an X position.

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I need to know what is the minimum number of moves a chess piece has to do from an X position to pass through all squares of a board. Mathmatic and programming solutions are welcome. I need because I am working on an essay about chess. EDIT: THE BOARD ONLY CONTAINS THE PIECE TO BE TESTED.

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