In chess, there are also many mathematical problems, which is why chess and mathematics are inseparable. A chessboard is an 8 × 8 64 squares. Euler has studied the jumping problem of horses on the board. He has proved that there is a jumping route of horses. Starting from one point, each square pass once and only once. Finally, it jumps back to the initial point.  

Such a horse step jumping route is called the horse step Hamiltonian circuit on the chessboard; if you can jump back to the starting point without limiting the last step, it is called the horse step Hamiltonian circuit.

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