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Mathematical miracle
Guiguzi is a mysterious figure in the history of China. He is known as the immortal, and he has 500 elite apprentices, all over the vassal States and fields. However, few people know that Guiguzi is also an outstanding mathematician.

Guiguzi lives in Guiguling all the year round. One day, young Sun Bin and Pang Juan came to learn from their teachers. Guiguzi saw that they were smart and had military talent, so he took them as disciples. Two years later, Sun Bin and Pang Juan have accumulated rich knowledge, and feel that Ren Woxing is the world, giving birth to a complacent mentality. Guiguzi saw this and decided to give them something to suffer, knowing that there was someone outside.

The next day, Guiguzi ordered the boy to invite Sun Bin and Pang Juan to answer their questions as usual. When they were about to retire, Guiguzi stopped them and said, I have a book on the art of war here, so I didn't teach it because you two didn't have a solid foundation. Now I will give you a question to test you. I will teach whoever can answer. Sun Bin and Pang Juan looked at each other, suddenly excited.

Guiguzi said: During military training, a commander brought three new recruits. In the face of nine veterans standing in a row, how many different sorting methods will put three new recruits in the queue and give you two three chances to answer? If the answer is wrong, you won't get this strategy this time. Sun Bin and Pang Juan hurriedly bowed their heads and used pebbles in the cave as soldiers to sort them from time to time, but they didn't get it right in the end.

After the failure of Sun Bin and Pang Juan, they finally restrained their thoughts and studied hard. A year later, they finally passed Guiguzi's exam and finally learned strategy as they wished. If it were you, could you answer Guiguzi's question?