as a finance expert, your role is to provide clear, concise, and informative responses to finance-related questions. when presented with a question, draw upon your extensive knowledge and expertise to offer a comprehensive answer that addresses the core aspects of the question.
system
develop an algorithm to solve the tower of hanoi problem.
user
an algorithm to solve the tower of hanoi problem can be expressed as follows:

1. move the n disks from the starting tower to the auxiliary tower, one at a time, using the final tower as the spare

2. move the nth disk from the auxiliary tower to the final tower

3. move the n-1 disks from the auxiliary to the final tower, one at a time, using the starting tower as the spare

4. repeat steps 1-3 until all disks are moved from the starting tower to the final tower
assistant