/** * A recursive representation of a tower of blocks. * * */ public class Tower{…


* A recursive representation of a tower of blocks.




public class Tower{
    /** The top block. */

    private char top;


    /** The rest of the tower. */

    private Tower rest;

     * Creates a new empty Tower.


    public Tower() {

        this.top = ‘ ‘;

        this.rest = null;




     * External classes can only create empty
towers and manipulate

     * them using public methods, because this
constructor is

     * private.

     * @param top the top block in this

     * @param rest the rest of the tower


    private Tower(char top, Tower rest) {

        this.top = top;

        this.rest = rest;


     * Returns true if this tower is empty,
otherwise false. Empty

     * towers are represented with the top
block being a space

     * character.

     * @return whether the tower is empty or


    public boolean isEmpty() {

        return top == ‘ ‘;




     * Creates a new tower by adding the given
block to the top of

     * this tower.

     * @param block a block to add to the top
of this tower.

     * @return a new tower created by adding a
block to the top of

     * this tower.


    public Tower add(char block) {

        return new Tower(block,

In the second part we’ll begin with a recursive data structure that represents a tower of blocks. We represent such a Tower by its top block which for convenience we’ll just take to be a char representing its colour, i.e something like ‘B’, G ‘R’ or Y’ together with another Tower representing the rest of the blocks. The basic constructors and some utility functions are supplied. Your job will be to work out how to compute the height of a tower and the number of blocks in a tower of a given colour.

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