So the recursive function is ready for calculating the power of a given number. So when it comes to calculating the power of the number, the recursive algorithm can be thought as,Īnd the base case would be if x=0, then return 1 It does not store any personal data.As we all know, recursion is a programming technique where a function calls itself where the solution is achieved by solving sub problems of it.The best example of it would be solving the tower of Hanoi problem. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. This approach is widely used in various fields such as computer science, mathematics, and. The cookie is used to store the user consent for the cookies in the category "Performance". The divide and Conquer Algorithm is a powerful problem-solving technique that involves breaking down a complex task into smaller, more manageable sub-problems, solving them independently, and then merging the results to obtain the final solution. This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other. The cookies is used to store the user consent for the cookies in the category "Necessary". The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The cookie is used to store the user consent for the cookies in the category "Analytics". These cookies ensure basic functionalities and security features of the website, anonymously. Necessary cookies are absolutely essential for the website to function properly. List Of Tutorials available in this website: C Programming 20+ Chaptersĭata Structures and Algorithms 85+ Chapters Click here to study the complete list of algorithm and data structure tutorial. Further Reading:ĪJ’s definitive guide for DS and Algorithms. As in this tutorial we have solved using recursion, we have taken the time complexity of recursion. I have written as “recursion” because, there is a way that you can solve this by using Dynamic Programming and Divide and Conquer Methods. Notice how we need to have a buffer to store the discs. The time complexity of Tower of Hanoi using recursion is 2^n at worst case. To find out how many moves a Tower of Hanoi solution takes you calculate (2n)-1 where n is how many discs there are. Output Move disk 1 from the tower A to tower B let A, B, C be the names of the towers. Tower_of_hanoi(n - 1, temp, destination, source) Tower_of_hanoi(n - 1, source, temp, destination) Ĭout << "Move disk " << n << " from tower " << source << " to tower " << destination << endl Void tower_of_hanoi(int n, char source, char destination, char temp)Ĭout << "Move disk 1 from the tower " << source << " to tower " << destination<<endl Step 3 − Move n-1 disks from temp to dest. This will be the base case for recursion. Step 2 − Move 1 disk from source to dest. Step 1 − Move n-1 disks from source to temp. So to solve the problem recursively, we use below 3 steps: The below image shows which tower refers to Source, Destination and temp. So we need to take 3 towers, let us name them as Source, Destination, and temp. So how can we solve the problem programatically? Hence we use recursion to solve this problem. i.e for n rings it will take 2^n-1 steps. So from the above diagram, we can see that, to move only 3 rings we took 7 steps. We follow below steps to move all the 3 rings to the 2nd tower. To illustrate the solution to the problem, consider the below diagram that has 3 rings. Your goal is to move all the rings from one tower to another tower without breaking the below rules.ģ. There might be “n” number of rings, but there will be only 3 towers. There are different size of rings placed on top of each other in ascending order. Tower of Hanoi is a classic problem that can be solved with the help of recursion.
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