Towers of hanoi

Reply Sat 15 May, 2004 09:45 am
It is said that at a great temple in South Asia, there is this sacred Tower, a device with which priests there mark the time remaining till the end of the whole world. The tower consists of 3 diamond needles standing upright, around one of which 64 golden plates with holes in the centre have been placed, one atop another. The disks in the stack are placed according to their sizes, with the biggest at the bottom, and the smallest topmost. Day and night priests at the temple transfer the golden plates thus stacked to the other two needles, always observing the rule that no larger plate shall be placed on a smaller plate. It is believed that when all of the 64 plates have been transferred onto another needle, in its original arrangement, namely the biggest at the bottom and the smallest topmost, the world comes to its end. Suppose the priests can move one plate a second, how long will it be before they reach the fatal moment?

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Type: Discussion • Score: 1 • Views: 894 • Replies: 4
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Reply Sat 15 May, 2004 11:27 am
2^64-1 = a lot of time :wink:
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Reply Sat 15 May, 2004 02:45 pm
There are 10 kinds of people in this world... those who understand binary, and those who don't.
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Reply Sun 16 May, 2004 02:26 am
yes and what's your point???????
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Reply Sun 16 May, 2004 04:27 am
2^64-1 = 18,446,744,073,709,551,615 seconds.

18,446,744,073,709,551,615 / 31536000 =

over 584942417355 years

That sure _is_ a long time, Magnum!

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