Can you explain the Tower of Hanoi puzzle?

Can you explain the Tower of Hanoi puzzle?

Sure! The Tower of Hanoi is a mathematical puzzle involving three rods and a number of disks of different sizes. The objective is to move the entire stack to another rod, following these rules: only one disk can be moved at a time, and no disk may be placed on top of a smaller disk.

How many moves does it take to solve it with three disks?

With three disks, it takes a minimum of 7 moves to solve the Tower of Hanoi puzzle. The formula for the minimum number of moves is 2^n - 1, where n is the number of disks.

Can you show me the steps to solve it?

Absolutely! Here are the steps to solve the Tower of Hanoi with three disks:

1. Move Disk 1 from A to C.
2. Move Disk 2 from A to B.
3. Move Disk 1 from C to B.
4. Move Disk 3 from A to C.
5. Move Disk 1 from B to A.
6. Move Disk 2 from B to C.
7. Move Disk 1 from A to C.

What if I had four disks instead?

If you have four disks, it would take a minimum of 15 moves to solve it, following the same formula: 2^4 - 1.