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image hosting image hosting "Upon hearing this the king was greatly pleased for he felt he had gotten off rather cheaply. He rapidly agreed to the inventor's prize. He called for a bag of wheat to be brought to him, and when it arrived he began counting out wheat. However he soon used up the first bag and was not yet halfway across the board. He called for a second, and a third, and more and more, until finally he was forced to admit defeat and hand over his entire kingdom for lack of sufficient wheat with which to pay the inventor.

image hosting How much wheat did the king need? Let's try to calculate it. Although we won't use physical wheat, we will soon find ourselves in the same dire straits as the king. Remember that a chessboard has 64 squares.class CountWheat { public static void main (String args[]) { int i, j, k; j = 1; k = 0; for (i=1; i <= 64; i++) { k += j; System.out.

image hosting println(k); j *= 2; } System.out.println("All done!"); }}We can improve our results slightly (but only slightly) by changing our ints to longs like so:class CountWheat { public static void main (String args[]) { long i, j, k; j = 1; k = 0; for (i=1; i <= 64; i++) { k += j; System.out.println(k); j *= 2; } System.

image hosting out.println("All done!"); }}A long is an integer type variable that can hold up to 9,223,372,036,854,775,807. However even that isn't enough to count how much wheat the king owed. Let's try using a double instead, the largest type of all. class CountWheat { public static void main (String args[]) { int i; double j, k; j = 1.

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