Write a Python program that solves the Towers of Hanoi puzzle. Your program should ask the user for the number of disks to be moved then it should list the moves that need to be done for a complete solution. Here is output from a sample run. How many pegs do you want to start with? --> 4 Move a disk from peg e to peg 1. Move a disk from peg e to peg 2. Move a disk from peg 1 to peg 2. Move a disk from peg e to peg 1. Move a disk from peg 2 to peg e. Move a disk from peg 2 to peg 1. Move a disk from peg e to peg 1. Move a disk from peg 0 to peg 2. Move a disk from peg 1 to peg 2. Move a disk from peg 1 to peg e. Move a disk from peg 2 to peg e. Move a disk from peg 1 to peg 2. Move a disk from peg e to peg 1. Move a disk from peg e to peg 2. Move a disk from peg 1 to peg 2. Your program must conform to the following specifications! 1) Represent the three pegs and disks as a three element list called board, where boardſij is the number of disks currently on peg i. Thus, the initial position would have board = [n, 0, 0]. 2) Have a function named move that is passed the board, the index of the peg a disk is to be moved from, and the index of the peg the disk is to be moved to then transfers the top disk betweem the given pegs and prints the move. 3) Have a function named getOther that is passed the indices of two pegs and returns the index of the other peg

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Write a Python program that solves the Towers of Hanoi puzzle.
Your program should ask the user for the number of disks to be moved then it should list the moves that need to be done for a complete solution.
Here is output from a sample run.
How many pegs do you want to start with? --> 4
Move a disk from peg 0 to peg 1.
Move a disk from peg 0 to peg 2.
Move a disk from peg 1 to peg 2.
Move a disk from peg 0 to peg 1.
Move a disk from peg 2 to peg e.
Move a disk from peg 2 to peg 1.
Move a disk from peg 0 to peg 1.
Move a disk from peg e to peg 2.
Move a disk from peg 1 to peg 2.
Move a disk from peg 1 to peg 0.
Move a disk from peg 2 to peg 0.
Move a disk from peg 1 to peg 2.
Move a disk from peg e to peg 1.
Move a disk from peg e to peg 2.
Move a disk from peg 1 to peg 2.
Your program must conform to the following specifications!
1) Represent the three pegs and disks as a three element list called board, where boardſi] is the number of disks currently on peg i. Thus, the initial position
would have board = [n, 0, 0].
2) Have a function named move that is passed the board, the index of the peg a disk is to be moved from, and the index of the peg the disk is to be moved to
then transfers the top disk betweem the given pegs and prints the move.
3) Have a function named getOther that is passed the indices of two pegs and returns the index of the other peg.
4) And most importantly, a function named solveTOH that is passed the board, the number of pegs, the from peg, and the to peg which performs the recursion
and calls move.
5) Your main program shoudl prompt the user for the number of disks, set up the board, and call solveTOH.
Here are some function headers to get you started.
Transcribed Image Text:Assignment Write a Python program that solves the Towers of Hanoi puzzle. Your program should ask the user for the number of disks to be moved then it should list the moves that need to be done for a complete solution. Here is output from a sample run. How many pegs do you want to start with? --> 4 Move a disk from peg 0 to peg 1. Move a disk from peg 0 to peg 2. Move a disk from peg 1 to peg 2. Move a disk from peg 0 to peg 1. Move a disk from peg 2 to peg e. Move a disk from peg 2 to peg 1. Move a disk from peg 0 to peg 1. Move a disk from peg e to peg 2. Move a disk from peg 1 to peg 2. Move a disk from peg 1 to peg 0. Move a disk from peg 2 to peg 0. Move a disk from peg 1 to peg 2. Move a disk from peg e to peg 1. Move a disk from peg e to peg 2. Move a disk from peg 1 to peg 2. Your program must conform to the following specifications! 1) Represent the three pegs and disks as a three element list called board, where boardſi] is the number of disks currently on peg i. Thus, the initial position would have board = [n, 0, 0]. 2) Have a function named move that is passed the board, the index of the peg a disk is to be moved from, and the index of the peg the disk is to be moved to then transfers the top disk betweem the given pegs and prints the move. 3) Have a function named getOther that is passed the indices of two pegs and returns the index of the other peg. 4) And most importantly, a function named solveTOH that is passed the board, the number of pegs, the from peg, and the to peg which performs the recursion and calls move. 5) Your main program shoudl prompt the user for the number of disks, set up the board, and call solveTOH. Here are some function headers to get you started.
5) Your main program shoudl prompt the user for the number of disks, set up the board, and call solve TOH.
Here are some function headers to get you started.
In [ ]: def move (board, fp, tp):
"""Moves the top disk from peg 'fp' to peg 'tp' in the given 'board'."""
In [ ]: def getother(fp, tp):
"""Returns the index of the peg not passed"""
In [ ]: def solveTOH(board, n, fp, tp):
"""Recusive solver"""
Transcribed Image Text:5) Your main program shoudl prompt the user for the number of disks, set up the board, and call solve TOH. Here are some function headers to get you started. In [ ]: def move (board, fp, tp): """Moves the top disk from peg 'fp' to peg 'tp' in the given 'board'.""" In [ ]: def getother(fp, tp): """Returns the index of the peg not passed""" In [ ]: def solveTOH(board, n, fp, tp): """Recusive solver"""
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