What are the ancient arithmetic of the nine palaces in Pingyi?

Nine Palaces Arithmetic: A number puzzle that travels through thousands of years

　　The ancient nine-palace arithmetic is not only a treasure of mathematical wisdom, but also a mysterious door to logic and wisdom. In this challenging game, the numbers 1 to 9 are placed in squares of 3×3, so that the sum of the numbers in each row, column, and two diagonals is 15. It seems simple, but in fact it contains profound mathematical aesthetics.

Puzzle solving steps：

1. Preliminary placement: You can set a number (such as 1) and determine its position. Use this as a starting point to gradually derive the position of the remaining numbers.
2. Line by line investigation: Using the principle of addition, check whether the sum of each row, column and two diagonals is 15 one by one. If a number is placed incorrectly, it can upset this balance.
3. Logic: When you find that a certain grid is difficult to determine, don't worry, use elimination methods and logical reasoning to gradually eliminate impossible positions and then find the correct answer.

　　In addition to traditional solutions, some interesting techniques can also improve the efficiency of the solution:

• Try filling in the smallest or largest numbers: This not only narrows down the selection, but also quickly verifies the correctness of certain locations.
• Take advantage of symmetry: Many solutions can simplify the problem by mirror symmetry.

　　Here is a hidden benefit that can help you better master the skills of nine-house arithmetic:https://172.lot-ml.com/ProductEn/index/228624771753f69b Recipients of this benefit are inspired by some unique puzzle-solving skills and thinking.

Enhance strategy：

• Patience and persistence: A good solution to the nine-house arithmetic often takes time to precipitate. Slowly look for patterns, be less impatient, and have more determination to persevere to the end.
• Diversified puzzle solving methods: There is a road in the mountains of books, and the sea of learning is endless. Each attempt at a different solution brings new insights and gains.

　　In summary, Jiugong arithmetic is not only a simple number game, but also a high-quality exercise to exercise thinking and patience. By constantly challenging this problem, we can not only find smarter solutions, but also gradually improve our problem-solving skills and logical thinking skills. Let's travel through thousands of years together and feel the charm and fun of this ancient wisdom!