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№ 568 комовяжёр на коне

(а) (возможно баян) обойти шахматную доску ходом коня так чтоб в каждой клетке побывать ровно один раз

(б) (сложнее) доказать что доску 4 х N невозможно обойти ходом коня так чтоб в каждой клетке побывать ровно один раз (для любого натурального N)

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