I want to listen to the traditional cultural stories of chess.

According to historical legends, chess originated in ancient India, and the earliest record seen in the literature so far was written in Persian during the Sassanian dynasty. William jones, an Englishman, published "Indian Chess" in 1790 "Asian Studies", thinking that chess originated in India. From the 2nd to 4th century AD, there was a board game called "Chatulanga" in the Indian subcontinent, which contained four kinds of chess pieces: chariots, horses, elephants and soldiers, symbolizing the military system of ancient India. In the Indian narrative epic Mahabharata, which was circulated at that time, there was a poem "The soldiers of the four armies have been lined up". "Four armies" means that the army is divided into four arms: car, elephant, horse and soldier. At that time, this kind of "square chess" was played by throwing dice. The purpose of the game is not to kill the king of the opponent, but to eat all the pieces of the opponent.

The story of rice grains on the chessboard tells that there was a king in ancient India with supreme power and countless wealth. But power and wealth eventually made him tired of life and longed for fresh excitement. One day, an old man came to court with his invented chess. The king likes this novel very much, is infatuated with it and is very satisfied. Say to the old man, "You have given me endless fun. In order to reward you, you can get anything you want from me. "

The old man's request is: please put 1 grain of wheat in the first grid, 2 grains in the second grid, 4 grains in the third grid and 8 grains in the fourth grid ... That is to say, before the last grid is full, the number of grains placed in the next grid must be a multiple of the number of grains in the previous grid. The king smiled and generously agreed to the old man's humble request However, the king finally found out that according to the agreement with the old man, India's wheat was not even enough for a chessboard.

Extended data:

In fact, the number of wheat grains needed by the elderly is actually astronomical. According to the requirements of the elderly, 64 squares were filled in. This number is18,446,744,073,709,5516 15, which is a 20-digit number. The converted weight is about 200 billion tons. Even in modern times, the annual output of global wheat is only several hundred million tons. If you build a warehouse to put these rice grains, the warehouse is 4 meters high and 10 meters wide, then the length of the warehouse is equal to twice the distance from the earth to the sun. It takes two thousand years for the world to produce so much wheat. Rich as the country is, he can't get that much wheat.

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