Mathematical principles in eternal games

There has always been a saying in Weiqi that "there are no identical chess games throughout the ages", which means that there are no exactly the same two chess games in Weiqi. In fact, this is a mathematical problem. As we know, there are 19 columns on the chessboard horizontally and vertically, so 19 times 19 equals 36 1. In the process of playing chess, black and white players alternately place their feet at the intersection. Every time they place their feet, they will have one less choice next time.

Excluding all other situations, according to the knowledge of permutation and combination, 1 hand has 236 1 choices, the second hand has 2360 choices, and the third hand has 2359 choices ... so there should be 2361.2360.359 ... = 265555556

As a smart game, the specific situation of each participant, such as the style and mood of chess, will directly affect the situation of eating children in each game, so the number of chess games may be more than the above figures, so there is a saying that "there is no chess game from ancient times to modern times".

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Weiqi is a traditional game in China and an international game. It belongs to a two-person antagonistic intellectual game and is popular in China, Japan, South Korea and other East Asian countries. Originated in China, it was recorded in the Spring and Autumn Period and the Warring States Period. It is one of the oldest and most complicated intellectual games invented by the Chinese nation, and it is also one of the four great arts of piano, chess, calligraphy and painting. During the Sui and Tang Dynasties, it was introduced to Japan through Korea and then to European and American countries.

Weiqi uses rectangular chessboards and black and white round pieces. There are 19 vertical and horizontal lines and 36 1 intersections on the regular chessboard. Chess pieces must walk at the intersection of non-forbidden points in space, and both sides can play games alternately. You can't move or regret after playing chess. You win with more numbers. Because the black side has the first-hand advantage, it is artificially stipulated that the black side should give the white side a look at the end of the game. The competition rules formulated by different countries such as China, Japan and South Korea are slightly different.

Weiqi contains rich cultural connotations in China, which is the embodiment of China culture and civilization. 20 19, 1 1, selected in the protection list of national intangible cultural heritage representative projects.