All Problems
Problem #101 EASY

The Wheat and the Chessboard

Paradox Exponential Growth Math

Problem Statement

According to legend, the inventor of chess presented his game to a king who was so delighted he offered any reward. The inventor asked for one grain of wheat on the first square of the chessboard, two on the second, four on the third, doubling each time for all 64 squares. The king laughed and agreed, thinking it a modest request. How many grains of wheat does the inventor receive in total? And how does this compare to all the wheat ever produced in human history?

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