Question

For the three-peg version discussed in the lab, how many ring moves are performed if the call from main passes in n = 15?

Answer 1

In the Tower of Hanoi puzzle with 15 rings, a total of 32,767 moves are required to transfer all the rings from one peg to another.

Step-by-step explanation:

The question relates to the classic problem known as the Tower of Hanoi which falls under the category of recursive mathematical problems. The Tower of Hanoi puzzle involves moving a series of rings from one peg to another, following specific rules.

For the Tower of Hanoi with n = 15 rings, the number of moves required to transfer all the rings from one peg to another using a third peg as an intermediary (according to the rules of the puzzle) is given by the formula 2n - 1. Substituting n = 15 into the formula gives us 215 - 1 which equals 32,767 moves.