| ᠥᠨᠥᠬᠡᠨ᠂ ᠥᠪᠥᠷ ᠮᠣᠩᠭᠤᠯ ᠤᠨ ᠥᠪᠡᠷᠲᠡᠭᠡᠨ ᠵᠠᠰᠠᠬᠤ ᠣᠷᠣᠨ ᠤ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ | ᠬᠤᠷᠢᠶᠠ ︽ ︿ᠳᠤᠮᠳᠠᠳᠤ ᠤᠯᠤᠰ ᠤᠨ ᠡᠪ ᠬᠠᠮᠲᠤ ᠨᠠᠮ ᠤᠨ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ ᠪᠠᠶᠢᠭᠤᠯᠭᠠ ᠰᠠᠬᠢᠯᠭᠠ | ᠪᠠᠲᠤ ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠤᠯᠲᠠ ᠳᠤ ᠬᠢᠨᠠᠯᠲᠠ ᠲᠠᠯᠪᠢᠬᠤ ᠠᠵᠢᠯ ᠤᠨ ᠲᠦᠷᠢᠮ ︵ᠲᠤᠷᠰᠢᠨ ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠬᠦ︶﹀ ᠢ | ᠲᠤᠤᠱᠯᠠᠭᠤᠯᠤᠨ ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠬᠦ ᠠᠷᠭᠠ︾ ︵ᠳᠣᠷᠣᠭᠰᠢ ︽ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠬᠦ ᠠᠷᠭᠠ︾ ᠭᠡᠵᠦ ᠲᠣᠪᠴᠢᠯᠠᠨᠠ︶ ᠶᠢ | ᠳᠠᠷᠤᠮᠠᠯᠯᠠᠨ ᠲᠠᠷᠬᠠᠭᠠᠵᠤ᠂ ︽ᠳᠤᠮᠳᠠᠳᠤ ᠤᠯᠤᠰ ᠤᠨ ᠡᠪ ᠬᠠᠮᠲᠤ ᠨᠠᠮ ᠤᠨ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ | ᠪᠠᠶᠢᠭᠤᠯᠭᠠ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠤᠯᠲᠠ ᠳᠤ ᠬᠢᠨᠠᠯᠲᠠ ᠲᠠᠯᠪᠢᠬᠤ ᠠᠵᠢᠯ ᠤᠨ ᠲᠦᠷᠢᠮ ︵ᠲᠤᠷᠰᠢᠨ | ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠬᠦ︶︾ ᠤᠨ ᠳᠠᠪᠢᠨ ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠵᠦᠢᠯ ᠤᠨ ᠪᠣᠳᠠᠲᠠᠶ ᠵᠦᠢᠯ ᠢ ᠨᠠᠶᠠᠨ ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠵᠤᠷᠪᠤᠰ | ᠪᠣᠯᠭᠠᠨ ᠨᠠᠷᠢᠯᠢᠭᠵᠢᠭᠤᠯᠵᠤ᠂ ᠪᠥᠬᠦ ᠣᠷᠣᠨ ᠤ ᠡᠯᠡ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ ᠬᠢᠨᠠᠨ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ | ᠪᠠᠶᠢᠭᠤᠯᠭᠠ ᠶᠢᠨ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠤᠯᠲᠠ ᠳᠤ ᠬᠢᠨᠠᠯᠲᠠ ᠲᠠᠯᠪᠢᠬᠤ ᠠᠵᠢᠯᠯᠠᠭᠠ ᠶᠢ ᠤᠯᠠᠮ ᠨᠢᠭᠡ ᠠᠯᠬᠤᠮ | ᠲᠣᠳᠣᠷᠬᠠᠶ ᠵᠢᠷᠤᠮᠵᠢᠭᠤᠯᠵᠠᠶ᠃ | ︽ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠬᠦ ᠠᠷᠭᠠ︾ ᠨᠢ ᠵᠢᠷᠤᠮᠯᠠᠬᠤ ᠶᠡᠷᠦᠩᠬᠡᠶ ᠲᠦᠷᠢᠮ᠂ ᠤᠳᠤᠷᠢᠳᠬᠤ ᠪᠠᠶᠢᠭᠤᠯᠤᠯ ᠢ | ᠪᠦᠷᠢᠨᠰᠢᠭᠦᠯᠬᠦ᠂ ᠰᠦᠪᠡᠭᠴᠢ ᠰᠢᠶᠳᠪᠦᠷᠢᠯᠡᠬᠦ ᠶᠢ ᠰᠢᠯᠢᠳᠡᠭᠵᠢᠭᠦᠯᠬᠦ᠂ ᠨᠢᠭᠤᠷᠳᠠᠨ ᠶᠠᠷᠢᠯᠴᠠᠬᠤ ᠵᠠᠬᠢᠳᠠᠯ ᠢᠶᠠᠷ | ᠠᠰᠠᠭᠤᠬᠤ ᠶᠢ ᠵᠢᠷᠤᠮᠵᠢᠭᠤᠯᠬᠤ᠂ ᠠᠩᠬᠠ ᠠᠯᠬᠤᠮ ᠤᠨ ᠬᠢᠨᠠᠨ ᠬᠠᠷᠭᠤᠭᠤᠯᠤᠯᠲᠠ ᠶᠢ ᠨᠠᠷᠢᠯᠢᠭᠵᠢᠭᠤᠯᠬᠤ᠂ ᠴᠢᠩᠭᠠ | ᠬᠢᠨᠠᠮᠠᠭᠠᠢ ᠪᠠᠷ ᠬᠡᠷᠡᠭ ᠪᠣᠯᠭᠠᠨ ᠳᠡᠩᠰᠡᠯᠡᠵᠦ ᠬᠢᠨᠠᠨ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ᠂ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠲᠦᠷᠢᠮ ᠲᠣᠭᠲᠠᠭᠠᠯ ᠢᠶᠠᠷ | ᠰᠢᠭᠦᠨ ᠰᠢᠶᠳᠪᠦᠷᠢᠯᠡᠬᠦ᠂ ᠬᠢᠨᠠᠯᠲᠠ ᠬᠠᠮᠢᠶᠠᠷᠤᠯᠲᠠ ᠪᠠᠨ ᠴᠢᠩᠭᠠᠳᠬᠠᠬᠤ᠂ ᠳᠠᠭᠠᠯᠲᠠ ᠳᠦᠷᠢᠮ ᠢ ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠬᠦ | ᠵᠡᠷᠭᠡ 9 ᠬᠡᠰᠡᠭ ᠢᠶᠠᠷ ᠪᠦᠷᠢᠯᠳᠦᠵᠦ᠂ ᠥᠪᠡᠷᠲᠡᠭᠡᠨ ᠵᠠᠰᠠᠬᠤ ᠣᠷᠣᠨ᠂ ᠠᠶᠢᠮᠠᠭ ᠬᠤᠲᠠ ᠶᠢᠨ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ | ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ ᠬᠤᠷᠢᠶᠠ᠂ ᠬᠤᠰᠢᠭᠤ ᠰᠢᠶᠠᠨ ︵ᠬᠤᠳᠠ᠂ ᠲᠣᠭᠤᠷᠢᠭ︶᠂ ᠰᠤᠮᠤ ᠰᠢᠶᠠᠩ ᠪᠠᠯᠭᠠᠰᠤ ᠵᠢᠴᠢ ᠠᠵᠤ | ᠠᠬᠤᠶᠢᠯᠠᠯ᠂ ᠠᠯᠪᠠᠨ ᠪᠠᠶᠢᠭᠤᠯᠭᠠ᠂ ᠰᠤᠷᠭᠠᠭᠤᠯᠢ᠂ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ ᠤ ᠰᠤᠳᠤᠯᠤᠯ ᠤᠨ ᠬᠦᠷᠢᠶᠡᠯᠡᠩ ᠭᠠᠵᠠᠷ᠂ | ᠵᠡᠭᠡᠯᠢ ᠭᠤᠳᠤᠮᠵᠢ ᠨᠡᠶᠢᠭᠡᠮ ᠲᠣᠭᠤᠷᠢᠭ᠂ ᠨᠡᠶᠢᠭᠡᠮ ᠤᠨ ᠵᠣᠬᠢᠶᠠᠨ ᠪᠠᠶᠢᠭᠤᠯᠤᠯᠲᠠ ᠪᠠ ᠪᠤᠰᠤᠳ ᠦᠨᠳᠦᠰᠦᠨ | ᠱᠠᠲᠤᠨ ᠤ ᠨᠢᠭᠡᠴᠡ ᠨᠦᠭᠦᠳ ᠤᠨ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ ᠬᠤᠷᠢᠶᠠ ᠶᠢᠨ ᠬᠦᠯᠢᠶᠡᠨ ᠠᠪᠴᠤ ᠰᠢᠶᠳᠪᠦᠷᠢᠯᠡᠬᠦ | ᠪᠠ ᠬᠢᠨᠠᠨ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ ᠬᠡᠪᠴᠢᠶᠡ ᠳᠤ ᠲᠣᠰ ᠲᠤᠰ ᠲᠣᠭᠲᠠᠭᠠᠯ ᠭᠠᠷᠭᠠᠵᠠᠢ᠃ ︽ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠬᠦ ᠠᠷᠭᠠ︾ ᠳᠤ | ᠨᠢᠭᠤᠷᠳᠠᠨ ᠶᠠᠷᠢᠯᠴᠠᠬᠤ ᠵᠠᠬᠢᠳᠠᠯ ᠢᠶᠠᠷ ᠠᠰᠠᠭᠤᠬᠤ ᠪᠠᠶᠢᠳᠠᠯ᠂ ᠶᠠᠷᠢᠯᠴᠠᠯᠭᠠ ᠶᠢᠨ ᠦᠭᠡ ᠨᠠᠶᠢᠷᠠᠯᠭᠠ ᠪᠠ ᠪᠢᠴᠢᠭ | ᠬᠠᠷᠠ ᠶᠢᠨ ᠬᠡᠯᠪᠡᠷᠢ ᠵᠡᠷᠭᠡ ᠠᠭᠤᠯᠭᠠ ᠶᠢ ᠭᠤᠣᠯᠳᠠᠯᠭᠠ ᠲᠠᠢ ᠨᠠᠷᠢᠯᠢᠭᠵᠢᠭᠤᠯᠵᠠᠶ︔ ᠠᠩᠬᠠ ᠠᠯᠬᠤᠮ ᠬᠢᠨᠠᠨ | ᠬᠠᠷᠭᠤᠭᠤᠯᠬᠤ ᠪᠠᠶᠢᠳᠠᠯ᠂ ᠬᠡᠷᠡᠴᠢ ᠪᠠᠷᠢᠮᠲᠠ ᠴᠤᠭᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭᠠ ᠶᠢ ᠵᠢᠷᠤᠮᠵᠢᠭᠤᠯᠵᠠᠶ︔ ᠬᠢᠨᠠᠨ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ᠂ | ᠶᠠᠷᠢᠯᠴᠠᠬᠤ᠂ ᠭᠠᠳᠠᠨᠠ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ ᠭᠤᠷᠪᠠᠨ ᠲᠥᠰᠦᠯ ᠤᠨ ᠠᠭᠤᠯᠭᠠ ᠶᠢ ᠨᠠᠷᠢᠯᠢᠭᠵᠢᠭᠤᠯᠤᠨ ᠵᠢᠷᠤᠮᠵᠢᠭᠤᠯᠵᠦ᠂ | ᠬᠢᠨᠠᠨ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ ᠳᠤᠭᠤᠶᠢᠯᠠᠩ ᠤᠨ ᠭᠡᠷᠡᠴᠢ ᠪᠠᠷᠢᠮᠲᠠ ᠴᠤᠭᠯᠠᠭᠤᠯᠬᠤ ᠪᠣᠳᠠᠲᠠᠶ ᠠᠷᠭᠠ ᠶᠢ ᠲᠣᠭᠲᠠᠭᠠᠵᠠᠶ᠃ | ᠤᠤᠯ ᠳᠦᠷᠢᠮ ᠤᠨ ᠵᠦᠢᠯ ᠵᠤᠷᠪᠤᠰ ᠤᠨ ᠰᠠᠭᠤᠷᠢᠨ ᠳᠡᠭᠡᠷᠡ᠂ ᠳᠤᠰ ︽ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠬᠦ ᠠᠷᠭᠠ︾ ᠨᠢ ᠪᠠᠰᠠ | ᠨᠠᠮ ᠤᠨ ᠰᠤᠷᠲᠠᠯ ᠵᠠᠰᠠᠭ ᠤᠨ ᠰᠤᠷᠲᠠᠯ ᠳᠤ ᠬᠢᠨᠠᠯᠲᠠ ᠲᠠᠯᠪᠢᠬᠤ ᠰᠠᠯᠠᠭᠠ ᠮᠥᠴᠢᠷ ᠤᠳ ᠳᠡᠭᠡᠳᠦ ᠱᠠᠲᠤᠨ ᠤ | ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ ᠬᠤᠷᠢᠶᠠ ᠶᠢᠨ ᠨᠠᠮ ᠤᠨ ᠰᠤᠷᠲᠠᠯ ᠵᠠᠰᠠᠭ ᠤᠨ ᠰᠤᠷᠲᠠᠯ ᠳᠤ ᠬᠢᠨᠠᠯᠲᠠ ᠲᠠᠯᠪᠢᠬᠤ | ᠰᠠᠯᠠᠭᠠ ᠮᠥᠴᠢᠷ ᠠᠴᠠ ᠲᠤᠰᠢᠶᠠᠨ ᠰᠢᠶᠳᠪᠦᠷᠢᠯᠡᠭᠦᠯᠬᠦ᠂ ᠰᠢᠯᠵᠢᠭᠦᠯᠦᠨ ᠰᠢᠶᠳᠪᠦᠷᠢᠯᠡᠭᠦᠯᠬᠦ ᠠᠰᠠᠭᠤᠳᠠᠯ ᠤᠨ | ᠰᠦᠪᠡᠭᠴᠢ ᠶᠢ ᠬᠦᠯᠢᠶᠡᠨ ᠠᠪᠴᠤ ᠭᠦᠢᠴᠡᠳᠬᠡᠬᠦ ᠳᠡᠰ ᠳᠠᠷᠠᠭᠠᠯᠠᠯ ᠢ ᠨᠡᠮᠡᠵᠡᠢ︔ ᠬᠡᠷᠡᠭ ᠢ ᠰᠢᠭᠦᠨ ᠰᠢᠶᠳᠪᠦᠷᠢᠯᠡᠬᠦ | ᠬᠡᠯᠪᠡᠷᠢ ᠮᠠᠶ᠋ᠢᠭ ᠂ ᠮᠠᠲ᠋ᠧᠷᠢᠶᠠᠯ ᠤᠨ ᠠᠭᠤᠯᠭᠠ ᠂ ᠰᠢᠭᠦᠨ ᠰᠢᠶᠳᠪᠦᠷᠢᠯᠡᠬᠦ ᠡᠭᠦᠷᠭᠡ ᠳᠤ ᠤᠷᠢᠳᠴᠢᠯᠠᠨ ᠣᠷᠣᠯᠴᠠᠬᠤ | ᠵᠢᠴᠢ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠶᠢ ᠵᠥᠷᠢᠴᠡᠭᠰᠡᠨ ᠪᠣᠳᠠᠲᠤ ᠬᠡᠷᠡᠭ᠂ ᠭᠡᠷᠡᠴᠢ ᠪᠠᠷᠢᠮᠲᠠ᠂ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠶᠢ ᠵᠥᠷᠢᠴᠡᠭᠰᠡᠨ | ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ᠂ ᠰᠢᠶᠳᠪᠦᠷᠢᠯᠡᠬᠦ ᠰᠠᠨᠠᠯ᠂ ᠳᠡᠰ ᠳᠠᠷᠠᠭᠠᠯᠠᠯ ᠤᠨ ᠭᠠᠷ ᠭᠦᠢᠴᠡᠳᠬᠡᠯ ᠬᠢᠬᠦ᠂ ᠬᠡᠷᠡᠭ ᠲᠤ | ᠬᠤᠯᠪᠣᠭᠳᠠᠭᠰᠠᠨ ᠡᠳ᠋ ᠮᠥᠩᠭᠦ᠂ ᠬᠡᠷᠡᠭ ᠲᠤ ᠬᠤᠯᠪᠣᠭᠳᠠᠭᠰᠠᠨ ᠬᠥᠮᠦᠨ ᠤ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠶᠢ ᠵᠥᠷᠢᠴᠡᠵᠦ | ᠬᠠᠤᠯᠢ ᠶᠢ ᠵᠥᠷᠢᠴᠡᠭᠰᠡᠨ ᠬᠡᠷᠡᠭ ᠤᠨ ᠰᠦᠪᠡᠭᠴᠢ ᠶᠢ ᠰᠢᠶᠳᠪᠦᠷᠢᠯᠡᠭᠰᠡᠨ ᠪᠠᠶᠢᠳᠠᠯ ᠢ ᠬᠢᠨᠠᠨ ᠬᠠᠷᠭᠤᠭᠤᠯᠬᠤ ᠵᠡᠷᠭᠡ | ᠴᠢᠬᠤᠯᠠ ᠭᠤᠭᠴᠤᠭᠠ ᠶᠢ ᠨᠡᠮᠡᠵᠡᠢ︔ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ ᠪᠠᠶᠢᠭᠤᠯᠭᠠ ᠨᠢ ᠵᠣᠬᠢᠶᠠᠨ ᠪᠠᠶᠢᠭᠤᠯᠬᠤ | ᠰᠠᠯᠠᠭᠠ ᠮᠥᠴᠢᠷ ᠢᠶᠠᠷ ᠲᠦᠷᠦᠭᠦᠯᠡᠭᠰᠡᠨ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ ᠶᠢᠨ ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠦᠯᠲᠡ ᠶᠢ ᠬᠢᠨᠠᠨ ᠪᠠᠶᠢᠴᠠᠭᠠᠬᠤ | ᠴᠢᠳᠠᠪᠤᠷᠢᠲᠠᠨ ᠤ ᠬᠥᠮᠥᠷᠭᠡ ᠶᠢ ᠪᠠᠶᠢᠭᠤᠯᠬᠤ ᠪᠠ ᠴᠢᠳᠠᠪᠤᠷᠢᠲᠠᠨ ᠤ ᠬᠥᠮᠥᠷᠭᠡ ᠳᠠᠬᠢ ᠴᠢᠳᠠᠪᠤᠷᠢᠲᠠᠨ ᠢ ᠬᠡᠷᠡᠭᠯᠡᠬᠦ | ᠬᠠᠮᠢᠶᠠᠷᠬᠤ ᠠᠷᠭᠠ ᠶᠢ ᠲᠣᠭᠲᠠᠭᠠᠵᠤ᠂ ᠴᠢᠳᠠᠪᠤᠷᠢᠲᠠᠨ ᠢ ᠵᠣᠬᠢᠰᠲᠠᠶ ᠬᠡᠷᠡᠭᠯᠡᠬᠦ ᠶᠢ ᠪᠠᠲᠤᠯᠠᠬᠤ ᠠᠭᠤᠯᠭᠠ ᠶᠢ ᠨᠡᠮᠡᠵᠡᠢ᠃ | ︽ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠬᠦ ᠠᠷᠭᠠ︾ ᠨᠢ ᠶᠡᠷᠦᠩᠬᠡᠶ ᠵᠠᠬᠢᠷᠬᠤ ᠳᠦᠷᠢᠮ ᠪᠣᠯᠣᠭᠰᠠᠨ ᠤ ᠬᠤᠪᠢ ᠳᠤ ᠰᠠᠬᠢᠯᠭᠠ ᠪᠠᠲᠤ | ᠬᠡᠷᠡᠭᠵᠢᠭᠦᠯᠤᠯᠲᠠ ᠳᠤ ᠬᠢᠨᠠᠯᠲᠠ ᠲᠠᠯᠪᠢᠬᠤ ᠠᠵᠢᠯ ᠢ ᠬᠠᠮᠢᠶᠠᠷᠬᠤ ᠵᠠᠷᠴᠢᠮ ᠤᠨ ᠴᠢᠨᠠᠷᠲᠠᠶ ᠲᠣᠭᠲᠠᠭᠠᠯ ᠭᠠᠷᠭᠠᠭᠰᠠᠨ | ᠪᠦᠭᠡᠳ ᠠᠵᠢᠯ ᠤᠨ ᠬᠡᠷᠡᠭᠴᠡᠭᠡ ᠪᠠ ᠪᠣᠳᠠᠲᠠᠶ ᠶᠢ ᠦᠨᠳᠦᠰᠦᠯᠡᠨ᠂ ︽1+N︾ ᠢᠵᠢ ᠪᠦᠷᠢᠳᠦᠭᠦᠯᠦᠭᠰᠡᠨ | ᠲᠦᠷᠢᠮ ᠢ ᠠᠯᠬᠤᠮ ᠠᠯᠬᠤᠮ ᠢᠶᠠᠷ ᠲᠣᠭᠲᠠᠭᠠᠬᠤ ᠪᠣᠯᠣᠨᠠ᠃ |