Non Iterative tower of Hanoi solution import java.util. To make it a bit easier to see, here the version which only counts: let rec hanoi1 n p1 p2 p3 acc = Hanoi (n-1) p1 p3 p2 // this is where a move is hanoi (n-1) p2 p1 p3 acc In order to show this in a compact form, here a very short version of towers of hanoi (consider this a rapid prototype for your java program ) It also shows how to use the return value of the function to obtain - here the move list - in your case, your counter. This is where you should increase your move counter. Tower of Hanoi is a game of rods and discs that requires a certain number of discs of different sizes to be transferred from one rod to another. Then you move p1 to p3 and then you move the rest from p2 to p3.įrom this textual description, it is obvious, that you only really make a move in the "move p1 to p3" section. In order to move the bottom most (n'th) disk from p1 to p3, you first need to move the n-1'th disk from p1 to p2 (and cleanup). Rule 2: Only the topmost disk from any of the three given poles can be stacked to another pole. ("\nNumber of disks chosen: " NumberOfDisks) Rule 1: We can only move one disk at a time from one pole to another. Int NumberOfDisks = Integer.parseInt(numOfDisks) String numOfDisks = JOptionPane.showInputDialog(null, "Enter a number!") Tower of Hanoi using Recursion: The idea is to use the helper node to reach the destination using recursion. ("\nNumber of Moves so far: " Moves "\nMove disk on Peg " Peg1 " to Peg " Peg3) Īnswer(numOfDisks - 1, Peg1, Peg3, Peg2, Moves) Īnswer(numOfDisks - 1, Peg2, Peg1, Peg3, Moves) Public void Answer(int numOfDisks, String Peg1, String Peg2, String Peg3, int Moves) You can see that I have some commented out some Moves , but wherever I place the counter it never seems to work. For example, 3 discs would take a minimum of 7 moves. 15.15: TowersOfHanoi.java 2 // Program solves the towers of Hanoi problem, and 3 // demonstrates. The Wikipedia page on Tower of Hanoi has a section on a binary solution where the steps for an N-disk Tower of Hanoi are encoded in the binary representation of the numbers 0 to 2 N. So far I have gotten the correct placement of disks to work (each disk is being moved correctly), now I need to create a counter variable in order, to show how many moves it took for a certain number of disks inputted by the user. Towers of Hanoi solution with a recursive method. It can be programmed without recursion and without stacks (or simulated stacks). What you have to do now is move all the disks from peg 1 to peg 3, you can use peg 2 as a storage space for other disks. am doing a Tower Of Hanoi program - there are 3 pegs and a stack of disks on peg 1 in the order of largest to smallest (largest on bottom, smallest on top). Then, we used the recursion function to solve it. Here, we have three towers named A, B, and C and asked the user to provide the number of plates and store it in a variable n. The Tower of Hanoi is a mathematical puzzle containing 3. It is one of the most popular problem which makes you understand the power of recursion. In this post, you will learn the Tower of Hanoi program using the Java programming language. In the given Java program, we call a recursion function towerOfHanoi() to get the Tower of Hanoi. What is Tower of Hanoi Tower of Hanoi is also called as Tower of Brahma or Lucas Tower. 1 // Example 15.15: TowersOfHanoi.java 2 // Program solves the towers of Hanoi problem, and 3 // demonstrates. 3) No disk may be placed on top of a smaller disk. a disk can only be moved if it is the uppermost disk on a stack. 2) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack i.e. It goes as follows: There are three pegs, the first one containing a certain number of. Java Program for Tower of Hanoi Problem Using RecursionĪ Recursion function is a function that is called by itself. Towers of Hanoi solution with a recursive method. Tower of Hanoi is a mathematical puzzle where we have three rods and n disks. The Tower of Hanoi problem refers to an ancient eastern story, or myth.
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