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Towers of Hanoi - Java - Tutorial

Lars Vogel

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Towers of Hanoi in Java

This article describes how to solve the Towers of Hanoi in Java.

Table of Contents

1. Towers of Hanoi
2. Implementation in Java
3. About this website
4. Links and Literature
4.1. Source Code
4.2. General

1. Towers of Hanoi

The towers of hanoi is a popular problem. You have three poles and n disks which fit on the poles. All disks have different size. They are stacked on pole 1 in the orders of their size. The largest disk is on the bottom, the smallest is on the top.

The task is to move all disk from pole 1 to pole 3 under the following restrictions.

  • Only one disk can be moved

  • A larger disk can not be placed on a smaller disk.

The recursive algorithm works like the following: move n-1 disk from the starting pole to the pole which is neither start nor target (intermediate), move disk n to the target pole and then move n-1 disk from the intermediate pole to the target pole. The n-1 disks are moved recursively.

2. Implementation in Java

Create a Java project "de.vogella.algorithms.towersofhanoi".

Create the following program.

package de.vogella.algorithms.towersofhanoi;

/** * Towers of Hanoi * Pole are labeled 1, 2,3 * Each disk is also labeled * @author Lars Vogel * */
public class TowersOfHanoi { public static void move(int n, int startPole, int endPole) { if (n== 0){ return; } int intermediatePole = 6 - startPole - endPole; move(n-1, startPole, intermediatePole); System.out.println("Move " +n + " from " + startPole + " to " +endPole); move(n-1, intermediatePole, endPole); } public static void main(String[] args) { move(5, 1, 3); } }

3. About this website

4. Links and Literature

4.1. Source Code

Source Code of Examples

4.2. General

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