Intelligence Games by Franco Agostini, Nicola Alberto De Carlo

By Franco Agostini, Nicola Alberto De Carlo

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You have containers that hold 15 pints, 10 pints, and 6 pints. The 15pint container starts out full, and the other two start out empty: (15, 0, 0). Through transferring liquid among the containers, measure exactly two pints for yourself to drink and end up with 8 pints in the 10-pint container and 5 pints in the 6-pint container. Find the most efficient solution. E6. You are at a lake and have two empty containers capable of holding exactly ´ ¿ ½ ½ µ and ´ ¾ ½ ¾ ½ µ liters of liquid. How many transfers of liquid will it take you to get a volume of liquid in one container that is within one percent of exactly one liter?

E7. One of the terms is ´Ü ܵ, so ½ ¼½. , ¼. E8. The number is 381,654,729. E9. The license number is 741; the next greater number is 7,425,741. E10. (1, 2, 4, 4, 4, 5, 7, 9, 9).

This one is a bit more tedious, but it is also that much more strange at the same time. This one may defy not only your ability to explain it, but your very equilibrium. Fibonacci Numbers: Classic Results as Black Holes Many an endearing problem has charmed mathophiles with the Fibonacci . The first two numbers numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, are each 1 and successive terms are obtained by adding the immediately ½ ´¾µ, and ´Òµ preceding two elements. More formally, ´½µ ´Ò ½µ · ´Ò ¾µ for integers Ò ¾.

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