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The short story of the king playing chess in the mathematical geometry series of senior one. Who knows how to say the specific content?

Legend has it that Siddhartha invented chess, which made the king very happy. He decided to reward Sito. Sita said, "Your Majesty, I don't want your reward, just give me some wheat on the chessboard." Put 1 in the 1 grid of the chessboard, 2 in the second grid, 4 in the third grid, 8 in the fourth grid, and so on. From now on, the number of grains in each cell is twice that in the previous cell until the 64th cell is full. "A small part, a few grains of wheat, what's the problem?" Come, "the king asked Sita to pay in full.

The work of counting wheat grains has begun. There are 1 grain in the first unit, 2 grains in the second unit and 2' grains in the third unit ... Before the twentieth cell, a bag of wheat was empty. Bags of wheat were sent to the king. However, the wheat grain increased rapidly, and the king soon saw that even if he took out the national grain, he could not fulfill his promise to Xita.

The original total number of wheat grains =1844674073709551615.

How much wheat is there? For example, if you build a warehouse to store these wheat, 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. In this way, the king owed Siddhartha a large sum of money.