This Is Why Muscle Heads Need Math

Probability Level 4

At Walter's weight lifting gym there is a stack of 8 weight plates on a pole on the floor, along with 3 empty poles. Walter's physical training regimen involves moving the plates, one at a time, from one pole to another, making sure that a larger plate is never placed on top of a smaller plates.

Walter will end his workout once all of the plates have been moved off of the starting pole and are all on the same pole. Today, Walter is feeling lazy, so he wants to do this in as few moves as possible. What is the minimum number of moves that Walter must make in order to finish his workout?

Details and assumptions

If you are interested in stacking problems, you might want to look at This Robotic Arm Can Do Many Things, But Is Unable To Think For Itself


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