Python Homework Help - Python Logical Puzzles, Games, and Algorithms: Tower of Hanoi

Python Homework Help

Python Homework Question

Python Logical Puzzles, Games, and Algorithms: Tower of Hanoi

Python Homework Solution

here's an implementation of the Tower of Hanoi problem in Python using recursion:
def tower_of_hanoi(n, from_rod, to_rod, aux_rod):
    if n == 1:
        print(f"Move disk 1 from {from_rod} to {to_rod}")
        return
    tower_of_hanoi(n-1, from_rod, aux_rod, to_rod)
    print(f"Move disk {n} from {from_rod} to {to_rod}")
    tower_of_hanoi(n-1, aux_rod, to_rod, from_rod)

This function takes in four parameters:
•    n: the number of disks
•    from_rod: the rod the disks start on
•    to_rod: the rod we want to move the disks to
•    aux_rod: the auxiliary rod we can use to move the disks
When we call tower_of_hanoi(n, 'A', 'C', 'B'), it will print out the series of steps needed to move the disks from rod A to rod C, using rod B as an auxiliary. Here's an example output for n=3:

Move disk 1 from A to C
Move disk 2 from A to B
Move disk 1 from C to B
Move disk 3 from A to C
Move disk 1 from B to A
Move disk 2 from B to C
Move disk 1 from A to C
This implementation uses recursion to break the problem down into smaller subproblems. If we need to move n disks from rod A to rod C, we first move the top n-1 disks from A to B (using C as an auxiliary), then move the bottom disk from A to C, and finally move the n-1 disks from B to C (using A as an auxiliary). This pattern continues recursively until we reach the base case of moving a single disk.