- 4th Apr 2023
- 21:14 pm

**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.