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  3. there is a famous puzzle called the towers of hano

There is a famous puzzle called the Towers of Hanoi that consists of three pegs and n...

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Advance Math

There is a famous puzzle called the Towers of Hanoi thatconsists of three pegs

and n circular disks, all of different sizes. The disks start onthe leftmost peg, with the largest disk

on the bottom, the second largest on top of it, and so on, up tothe smallest disk on top. The goal

is to move the disks so that they are stacked in this same orderon the rightmost peg. However,

you are allowed to move only one disk at a time, and you arenever able to place a larger disk on

top of a smaller disk. Let tn denote the fewest moves(a move being taking a disk from one peg

and placing it onto another) in which you can accomplish thegoal. Determine an explicit formula

for tn.

Answer & Explanation Solved by verified expert
3.8 Ratings (359 Votes)
isthe number of steps required with n1 diskTo do this we must first move all the top n disk except thatlast n1 th largest disk onto    See Answer
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