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towers of hanoi
How many years?
How many years would it take, at one move per second, to make 264 -1 moves?
First, convert 264 to seconds:
264 seconds = 1.844674 x 1019 seconds
Then calculate the number of seconds in a year:
60 seconds in a minute
Then, divide the total number of seconds, by the number of seconds in one year:
x 60 minutes in an hour
x 24 hours in a day
x 365 days in a year (we'll ignore the extra 1/4 day from leap-years)
31,536,000 seconds per year
18.44674 x 1018 seconds
3.1536 x 107 seconds per year
=> 5.849424 x 1011, or 584,942,400,000 years !
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