Search⌘ K

Tower of Hanoi

Explore the Tower of Hanoi puzzle and understand its solution using recursion and backtracking. This lesson guides you through the problem rules, recursive breakdown, and coding approach to move disks efficiently. By completing this lesson, you will grasp how recursion simplifies complex move sequences and be ready to implement the solution in your own code.

We'll cover the following...

Problem statement

Tower of Hanoi is a mathematical puzzle where we have three rods and n disks. The objective of the puzzle is to move the entire stack of disks to another rod, obeying the following simple rules:

  • Only one disk can be moved at a time.
  • Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack i.e. a disk can only be moved if it is the uppermost disk on a stack.
  • No disk may be placed on top of a smaller disk.

Implementation

Look at the visualization below to get an understanding of how you can solve this problem for n = 3 disks.

So now we can move ahead to the coding part. The above visualization can be interpreted as a ...