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PUZZLE CLASSIC #214

A Chessboard and Grains of Rice
A Chessboard and Grains of Rice

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A Chessboard and Grains of Rice

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A Chessboard and Grains of Rice
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A great craftsman created a beautiful chessboard for a king, who was so impressed he asked the craftsman to name his price. The craftsman said he wanted to be paid “only a few grains of rice,” in this manner: one grain of rice for the 1st square on the chessboard, two for the 2nd square, four for the 3rd, eight for the 4th, and so on, doubling the amount for each square up to the 64th square. This did not sound like too much, so the king agreed. At what cell the amount of grains is above 1 million?