There is an old legend about the inventor of chess and a king who offered him any reward. The inventor asked for something seemingly simple: grains of rice, doubling the amount in each square of the board.
Chess and the grain of rice
Riddle statement
On a board with 64 squares, grains of rice are placed in the following way: 1 grain in the first square, 2 in the second, 4 in the third, and so on, always doubling the amount.
How many grains of rice will there be in total on the board, adding the grains of the 64 squares?