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The UML symbol for the nesting of one class inside another uses a circle with a plus sign inside in place of the arrowhead, as shown in Figure 3.25. Since all members of a Figure 3.25 UML diagram for a nested class private nested class are still accessible from anywhere else in the enclosing class, those members are usually declared without any access modifier (private, protected, or public), for simplicity. Normally, a nested class should be declared static unless its instances need to access nonstatic members of its enclosing class. (A nested class that is nonstatic is called an inner class.) The Node class defined in Example 3.10 on page 56 is used only within the context of the linked lists that are being implemented. So it should be nested inside its List class. Moreover, since nodes have no need to access List methods or fields, the Node class should be declared as a static nested class. This is done at line 12 in Example 3.15 and is illustrated in Figure 3.26.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

You identify the object class and then identify the object for this example, we ll choose 0MATERIAL. The second illustration shows the result of our assignment.

For example, as a result of consumers demand for a nal commodity, say, shoes, rms hire labor and other resources in order to produce shoes. The greater the demand for shoes, the greater the rms demands for labor. In the absence of market imperfections (minimum wage laws, union power, etc.), the wage rate of labor is determined exclusively by the market demand and supply of labor. To derive a rm s demand for a resource, we must rst de ne the marginal revenue product (MRP). MRP measures the increase in the rm s total revenue from selling the extra product that results from employing one additional unit of the resource. If the rm is a perfect competitor in the commodity market, it can sell this extra output at the given market price for the commodity. However, as additional units of the variable resource are used together with xed resources, after a point the extra output or marginal physical product (MPP) declines because of the operation of the law of diminishing returns. Because of the declining MPP, MRP also declines.

public class LinkedList { private Node start; public void insert(int x) { // Insert lines 2-14 of Example 3.12 on page 58 } public void delete(int x) { // Insert lines 2-18 of Example 3.13 on page 59 } private static class Node { // Insert lines 2-12 of Example 3.10 on page 56 } }

Hiding the Node class within the LinkedList class encapsulates the LinkedList class, making it selfcontained and concealing its implementation details. A developer could change the implementation without having to modify any code outside of that class.

3.1 3.2 3.3 3.4 3.5 Why is an array such an inefficient data structure for a dynamic sorted list What is an index array If linked lists are so much better than arrays, why are arrays used at all Why does insertion at the front of a linked list have to be done differently from insertion elsewhere Why are the lists backwards in the BigInt class

3.1 Write and test this method, similar to the insert() method in Example 3.1 on page 46:

void delete(int[] a, int n, int x)

Important!

// precondition: 0 <= n < a.length; // postconditions: the first occurrence of x among {a[0], ..., a[n-1]} has been deleted;

CHAP. 3]

For example, if a[] is the array {33, 55, 77, 99, 77, 55, 33, 0}, then delete(a, 6, 55) will change a[] to {33, 77, 99, 77, 55, 33, 0, 0}. 3.2 Write and test this method:

int size(Node list) // returns: the number of nodes in the specified list; For example, if list is {33, 55, 77, 99}, then size(list) will return 4.

Resources are priced just as goods and services are by the strength of the demand and supply for them but resource demand is a derived demand.

Write and test this method:

int sum(Node list) // returns: the sum of the integers in the specified list; For example, if list is {25, 45, 65, 85}, then sum(list) will return 220.

Write and test this method:

void removeLast(Node list) // precondition: the specified list has at least two nodes; // postcondition: the last node in the list has been deleted; For example, if list is {22, 44, 66, 88}, then removeLast(list) will change it to {22, 44,

66}. 3.5 Write and test this method: