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Diy hanoi towers software#

Algorithms affect us in our everyday life.

Diy hanoi towers software#

In fact, I think it’s not only important for software development or programming, but for everyone. Photo by bruce mars on Unsplash What is an algorithm?Īn algorithm is one of the most important concepts for a software developer. What is that? Any idea? No problem, let’s see. Wait, we have a new word here: “ Algorithm”. Now, let’s try to build the algorithm to solve the problem. You can see the animated image above for a better understanding. Let’s go through each of the steps:īoom! We have solved our problem. We can use B as a helper to finish this job.

How do we do this?īefore we can get there, let’s imagine there is an intermediate point B. Our job is to move this stack from source A to destination C.

No larger disk may be placed on top of a smaller disk.

In other words, a disk can only be moved if it is the uppermost disk on a stack.

Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack.

Well, this is a fun puzzle game where the objective is to move an entire stack of disks from the source position to another position. If we generalize the above, we replace "post A" with "the post it currently sits on," and we replace "post C" with "the post we want it to end up on.Before getting started, let’s talk about what the Tower of Hanoi problem is. In pseudo-code (i.e., a "plain English" way to express what a computer program is doing), this will look like: If the disk you're about to move is disk 1, i.e., the smallest disk (or the onlyĭisk), then move it from post A to post C. To solve a 1-disk Tower of Hanoi, simply move the disk from post A to post C. The simplest form of the Tower of Hanoi puzzle has only 1 disk. If you like this instructable, please vote for me in the Coded Creations contest before May 18, 2015. It helps to be familiar with some basic computer programming concepts, but even if you're not, hopefully this instructable will be interesting.

Solve the 6-disk version of the puzzle again, this time from post B to post C.įor this instructable, I'll use JavaScript as the programming language so you can run this in a standard web browser.

Solve the 6-disk version of the puzzle from post A to post B.

How can this puzzle be broken down into smaller parts? As the images show, this 7-disk version of the Tower of Hanoi puzzle can be solved as:

Disks cannot be moved on top of a smaller disk.

You can move any disk to the second post as a resting area.

You can only move one disk at a time from one post to another, which means at any given time, at most one disk can be off a post.The goal is to move all disks from the first post to the third post. That puzzle is shown in the image on this page. If you keep going down the chain, you will get to the base case of summing whole numbers between 1 and 1, which we know is 1.Ī fun use of recursion is to write a program that can give you the solution to the Tower of Hanoi puzzle. For the next step of the example above, to get the sum of whole numbers between 1 and 99, you simply sum the whole numbers between 1 and 98, then add 99. Silly, right? This is actually an example of a powerful divide-and-conquer technique in computer programming known as "recursion." Recursion treats a computation task as a set of smaller, similar computations, with the next smaller computation being calculated, and then the next, and the next, until you get to a "base case" with a known answer. Q: What's the easiest way to get the sum of all whole numbers between 1 and 100?Ī: First get the sum of all whole numbers between 1 and 99, then add 100.