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There are several mathematical solutions to the lock screen of Jiugongge.
Of course, you can try one by one by listing, but that's very troublesome and easy to make mistakes.

Here is a good method for you.

Look at this picture. First of all, you should consider how many four-point figures are used. Then put the picture at nine o'clock. How many ways are there?

The final result came out easily.

Directly on the picture, the numbers indicate how many kinds there are.

Similarly, 5-9 can do this.