1. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 1 Chapter 6 Arrays

2. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 2 Objectives F To describe why arrays are necessary in programming (§6.1). F To declare array reference variables and create arrays (§§6.2.1-6.2.2). F To initialize the values in an array (§6.2.3). F To access array elements using indexed variables (§6.2.4). F To declare, create, and initialize an array using an array initializer (§6.2.5). F To program common array operations (displaying arrays, summing all elements, finding min and max elements, random shuffling, shifting elements) (§6.2.6). F To simplify programming using the for-each loops (§6.2.7). F To apply arrays in the LottoNumbers and DeckOfCards problems (§§6.3-6.4). F To copy contents from one array to another (§6.5). F To develop and invoke methods with array arguments and return value (§6.6–6.7). F To define a method with variable-length argument list (§6.8). F To search elements using the linear (§6.9.1) or binary (§6.9.2) search algorithm. F To sort an array using the selection sort (§6.10.1) F To sort an array using the insertion sort algorithm (§6.10.2). F To use the methods in the Arrays class (§6.11).

3. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 3 Opening Problem Read one ten numbers, compute their average, and find out how many numbers are above the average. How would you compute this problem? An efficient and organized manner is to use data structure, the array, which stores a fixed sequential collection of elements of the same type. By store all 10 numbers into an array and access them through single array variable.

4. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 4 Solution Run with prepared input public class AnalyzeNumbers { public static void main(String[] args) { final int NUMBER_OF_ELEMENTS = 10; double[] numbers = new double[NUMBER_OF_ELEMENTS]; // Creates & Declare a array of 10 elements double sum = 0; java.util.Scanner input = new java.util.Scanner(System.in); for (int i = 0; i average) // compares each number in the array count++; System.out.println("Average is " + average); System.out.println("Number of elements above the average " + count); } }

5. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 5 Introducing Arrays Array is a data structure that represents a collection of the same types of data.

6. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 6 Declaring Array Variables F To use an array in a program, you must declare a variable to reference that array and specify the array’s element type. datatype[] arrayRefVar; Example for declaring an array variable: double[] myList; datatype arrayRefVar[]; // This style is allowed, but not preferred Example: double myList[];

7. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 7 Creating Arrays The declaration of an array variables does not allocate any space in memory for the array, it creates a storage location for the reference to an array. arrayRefVar = new datatype[arraySize]; Example: myList = new double[10]; myList[0] //references the first element in the array. myList[9] //references the last element in the array. Note: if a variable does not contain references to an array, then the value of the variables is null

8. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 8 Declaring and Creating in One Step F datatype[]arrayRefVar = new datatype[arraySize]; double[] myList = new double[10]; //declare array name myList as double F datatype arrayRefVar[] = new datatype[arraySize];//create and create Arrays double myList[] = new double[10]; //declare and create array called myList[]

9. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 9 The Length of an Array Once an array is created, its size is fixed. It cannot be changed. You can find its size using arrayRefVar.length For example, myList.length returns 10

10. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 10 Array size & Default Values When the space of an array allocated, the array size must be defined the number of elements that can be stored in it. When an array is created, its elements are assigned the default value of 0 for the numeric primitive data types, '\u0000' for char types, and false for boolean types.

11. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 Arrays F An array is an ordered list of values: 0 1 2 3 4 5 6 7 8 9 79 87 94 82 67 98 87 81 74 91 An array of size N is indexed from zero to N-1 scores The entire array has a single name Each value has a numeric index This array holds 10 values that are indexed from 0 to 9 Copyright © 2012 Pearson Education, Inc.

12. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 Arrays F A particular value in an array is referenced using the array name followed by the index in brackets F For example, the expression scores[2] refers to the value 94 (the 3rd value in the array) F That expression represents a place to store a single integer and can be used wherever an integer variable can be used Copyright © 2012 Pearson Education, Inc.

13. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 Arrays  For example, an array element can be assigned a value, printed, or used in a calculation : scores[2] = 89; scores[first] = scores[first] + 2; mean = (scores[0] + scores[1])/2; System.out.println ("Top = " + scores[5]); pick = scores[rand.nextInt(11)]; Copyright © 2012 Pearson Education, Inc.

14. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 Arrays F The values held in an array are called array elements F An array stores multiple values of the same type – the element type F The element type can be a primitive type or an object reference  Therefore, we can create an array of integers, an array of characters, an array of String objects, an array of Coin objects, etc. Copyright © 2012 Pearson Education, Inc.

15. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 Arrays F In Java, the array itself is an object that must be instantiated  Another way to depict the scores array: scores 79 87 94 82 67 98 87 81 74 91 Copyright © 2012 Pearson Education, Inc. The name of the array is an object reference variable

16. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 16 Indexed Variables The array elements are accessed through the index. The array indices are 0-based, i.e., it starts from 0 to arrayRefVar.length-1. In the example in Figure 6.1, myList holds ten double values and the indices are from 0 to 9. Each element in the array is represented using the following syntax, known as an indexed variable: arrayRefVar[index]; myList[9] represents the last element in the array myList.

17. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 17 Using Indexed Variables After an array is created, an indexed variable can be used in the same way as a regular variable. For example, the following code adds the value in myList[0] and myList[1] to myList[2]. myList[2] = myList[0] + myList[1]; Loop assigns 0 to myList[0], 1 to myList[1],… and 9 to myList[9] For (int i=0; i< myList.lenght; i++) { myList[i] = 1; }

18. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 18 Array Initializers double[] myList; //declare myList = new double[4]; //create Declaring, creating, initializing in one step: double[] myList = {1.9, 2.9, 3.4, 3.5}; This shorthand syntax must be in one statement.

19. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 19 Declaring, creating, initializing Using the Shorthand Notation double[] myList = {1.9, 2.9, 3.4, 3.5}; This shorthand notation is equivalent to the following statements: double[] myList = new double[4]; myList[0] = 1.9; myList[1] = 2.9; myList[2] = 3.4; myList[3] = 3.5;

20. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 20 CAUTION Using the shorthand notation, you have to declare, create, and initialize the array all in one statement. Splitting it would cause a syntax error. For example, the following is wrong: double[] myList; myList = {1.9, 2.9, 3.4, 3.5};

21. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 21 //read 10 numbers; //computer their average; // find out how many numbers are above the average. public class AnalyzeNumbers { public static void main(String[] args) { final int NUMBER_OF_ELEMENTS = 10; double[] numbers = new double[NUMBER_OF_ELEMENTS]; // this line creates an array of 10 elements double sum = 0; java.util.Scanner input = new java.util.Scanner(System.in); for (int i = 0; i average) // to count the number if values above the average count++; System.out.println("Average is " + average); System.out.println("Number of elements above the average " + count); } }

22. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 22 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i= 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } Declare array variable values, create an array, and assign its reference to values animation

23. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 23 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } i becomes 1 animation

24. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 24 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } i (=1) is less than 5 animation

25. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 25 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } After this line is executed, value[1] is 1 animation

26. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 26 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } After i++, i becomes 2 animation

27. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 27 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } i (= 2) is less than 5 animation

28. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 28 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } After this line is executed, values[2] is 3 (2 + 1) animation

29. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 29 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } After this, i becomes 3. animation

30. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 30 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } i (=3) is still less than 5. animation

31. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 31 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } After this line, values[3] becomes 6 (3 + 3) animation

32. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 32 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } After this, i becomes 4 animation

33. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 33 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } i (=4) is still less than 5 animation

34. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 34 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } After this, values[4] becomes 10 (4 + 6) animation

35. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 35 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } After i++, i becomes 5 animation

36. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 36 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } i ( =5) < 5 is false. Exit the loop animation

37. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 37 Trace Program with Arrays public class Test { public static void main(String[] args) { int[] values = new int[5]; for (int i = 1; i < 5; i++) { values[i] = i + values[i-1]; } values[0] = values[1] + values[4]; } After this line, values[0] is 11 (1 + 10) animation

38. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 38 Processing Arrays See the examples in the text. 1. (Initializing arrays with input values) 2. (Initializing arrays with random values) 3. (Printing arrays) 4. (Summing all elements) 5. (Finding the largest element) 6. (Finding the smallest index of the largest element) 7. (Random shuffling) 8. (Shifting elements)

39. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 39 Initializing arrays with input values Java has a shorthand notation, known as the array initializer, which combines in one statement declaring an array. elementType[] arrayRefVar = [value0,value1, …, valuek}; For example: double [] myList = {1.9, 2.9, 3.4, 3.5}; The statement below declares, creates, and initializing the array myList with four elements: double[] myList = new double[4]; myList[0] = 1.9; myList[1] = 2.9; myList[2] = 3.4; myList[3] = 3.5;

40. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 40 Printing arrays for (int i = 0; i < myList.length; i++) { System.out.print(myList[i] + " "); } Display arrays, you need to print each element in the array using a loop like following: For string: char[] city = {‘D’, ‘a’, ‘l’, ‘l’, ‘a’, ‘s’}; System.out.println(city);

41. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 41 Summing all elements double total = 0; for (int i = 0; i < myList.length; i++) { total += myList[i]; } By using a variable named total to store the sum, initially total is 0. add each element in the array to total using a loop like below:

42. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 42 Finding the largest element double max = myList[0]; for (int i = 1; i < myList.length; i++) { if (myList[i] > max) max = myList[i]; } Use a variable named max to store the largest element. Initially max is myList[0]. To find the largest element in the array myList, compare each element with max, and update max if the element is greater than max

43. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 43 Random shuffling In many applicaition, you need to randomly reorder the elements in an array. This is called a shuffling. Therefore, for each element myList[i], randomly generate an index j and swap myList[i] as follow:

44. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 44 Shifting Elements Sometimes you need to shift the elements left or right. Example to shift the elements one position to the left and fill the last element with first element:

45. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 45 Enhanced for Loop (for-each loop) JDK 1.5 introduced a new for loop that enables you to traverse the complete array sequentially without using an index variable. For example, the following code displays all elements in the array myList: for (double value: myList) System.out.println(value); In general, the syntax is for (elementType value: arrayRefVar) { // Process the value } Note: You still have to use an index variable if you wish to traverse the array in a different order or change the elements in the array. for (int i = 0; i < list.length; i++) System.out.print(list[i] + “ “);

46. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 Enhanced For Loop F class EnhancedForTest{ 4 public static void main(String[] args) 5 { 6 int[] arrayList = {1, 12, 3, 4, 15, 6, 67}; 8 int total = 0; 9 10 // add each element's value to total F 11 for (int number : arrayList ) 12 total += number; F 13 //line List 11 & 12 equivalent to the following counter controlled repetition used in F // line 14 & 15 14 //for (int counter =0; counter <arrayList.length; counter++) 15 // total += array[counter]; 16 17 System.out.printf("Total of array elements: %d\n", total); 18 } 19 } 46

47. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 47 Problem: Lotto Numbers Suppose you play the Pick-10 lotto. Each ticket has 10 unique numbers ranging from 1 to 99. You buy a lot of tickets. You like to have your tickets to cover all numbers from 1 to 99. Write a program that reads the ticket numbers from a file and checks whether all numbers are covered. Assume the last number in the file is 0. LottoNumbers Run Lotto Numbers Sample Data

48. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 48 import java.util.Scanner; public class LottoNumber s { public static void main(String args[]) { Scanner input = new Scanner(System.in); boolean[] isCovered = new boolean[99]; // default false -- create and initialize array // Read all numbers and mark corresponding element covered -- read number int number = input.nextInt(); // read the number while (number != 0) { isCovered[number - 1] = true; // mark number covered – “true” number = input.nextInt(); // read the number } // Check if all covered boolean allCovered = true; // Assume all covered for (int i = 0; i < 99; i++) if (!isCovered[i]) { allCovered = false; // Find one number is not covered “false” break; } // Display result if (allCovered) // check allCovered? System.out.println("The tickets cover all numbers"); else System.out.println("The tickets don’t cover all numbers"); } }

49. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 49 Problem: Deck of Cards The problem is to write a program that picks four cards randomly from a deck of 52 cards. All the cards can be represented using an array named deck, filled with initial values 0 to 52, as follows: int[] deck = new int[52]; //declared and create cards // initialize cards for (int i = 0; i < deck.length; i++) deck[i] = i; DeckOfCards Run

50. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 50 public class DeckOfCard s { public static void main(String[] args) { int[] deck = new int[52]; String[] suits = {"Spades", "Hearts", "Clubs", "Diamonds"}; // create array deck – array of string String[] ranks = {"Ace", "2", "3", "4", "5", "6", "7", "8", "9", // array of strings "10", "Jack", "Queen", "King"}; // Initialize deck for (int i = 0; i < deck.length; i++) deck[i] = i; // Shuffle the deck for (int i = 0; i < deck.length; i++) { // Generate an index randomly int index = (int)(Math.random() * deck.length); int temp = deck[i]; deck[i] = deck[index]; deck[index] = temp; } // Display the first four cards for (int i = 0; i < 4; i++) { String suit = suits[deck[i] / 13]; // suite of card String rank = ranks[deck[i] % 13]; // rank of a card System.out.println("Card number " + deck[i] + ": " + rank + " of " + suit); } } }

51. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 51 Problem: Deck of Cards This problem builds a foundation for future more interesting and realistic applications: See Exercise 25.9.

52. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 52 Problem: Deck of Cards, cont. DeckOfCards Run GUI Demo (picking four cards)

53. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 53 Copying Arrays Often, in a program, you need to duplicate an array or a part of an array. In such cases you could attempt to use the assignment statement (=), as follows: list2 = list1; Note: You can copy primitive data Type in Java, but you cannot copy one array variable to another array

54. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 54 Copying Arrays Three ways to copy arrays  Use a loop to copy individual elements one by one.  Use the static araycopy method in the System class.  Use the clone method to copy arrays; Using a loop: int[] sourceArray = {2, 3, 1, 5, 10}; // initial array int[] targetArray = new int[sourceArray.length]; for (int i = 0; i < sourceArrays.length; i++) targetArray[i] = sourceArray[i];

55. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 55 Passing Arrays to Methods public static void printArray(int[] array) { for (int i = 0; i < array.length; i++) { System.out.print(array[i] + " "); } //Invoke the method int[] list = {3, 1, 2, 6, 4, 2}; //initialize array printArray(list); //Invoke the method printArray( new int[]{3, 1, 2, 6, 4, 2}); Anonymous array

56. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 56 Anonymous Array The statement printArray(new int[]{3, 1, 2, 6, 4, 2}); creates an array using the following syntax: new dataType[]{literal0, literal1,..., literalk}; There is no explicit reference variable for the array. Such array is called an anonymous array.

57. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 57 1 public class TestPassArray { 2 /** Main method */ 3 public static void main(String[] args) { 4 int[] a = {1, 2}; 5 // Swap elements using the swap method 6 System.out.println("Before invoking swap"); 7 System.out.println("array is {" + a[0] + ", " + a[1] + "}"); 8 swap(a[0], a[1]); 9 System.out.println("After invoking swap"); 10 System.out.println("array is {" + a[0] + ", " + a[1] + "}"); 11 // Swap elements using the swapFirstTwoInArray method 12 System.out.println("Before invoking swapFirstTwoInArray"); 13 System.out.println("array is {" + a[0] + ", " + a[1] + "}"); 14 swapFirstTwoInArray(a); 15 System.out.println("After invoking swapFirstTwoInArray"); 16 System.out.println("array is {" + a[0] + ", " + a[1] + "}"); 17 } 18 /** Swap two variables */ 19 public static void swap(int n1, int n2) { 20 int temp = n1; 21 n1 = n2; 22 n2 = temp; 23 } 24 /** Swap the first two elements in the array */ 25 public static void swapFirstTwoInArray(int[] array) { 26 int temp = array[0]; 27 array[0] = array[1]; 28 array[1] = temp; 29 } 30 }

58. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 58 Pass By Value – Method Call– Java uses pass by value to pass arguments to a method. There are important differences between passing a value of variables of primitive data types and passing arrays. F For a parameter of a primitive type value, the actual value is passed. Changing the value of the local parameter inside the method does not affect the value of the variable outside the method. F For a parameter of an array type, the value of the parameter contains a reference to an array; this reference is passed to the method. Any changes to the array that occur inside the method body will affect the original array that was passed as the argument.

59. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 59 public class Test { public static void main(String[] args) { int x = 1; // x represents an int value int[] y = new int[10]; // y represents an array of int values m(x, y); // Invoke m with arguments x and y System.out.println("x is " + x); System.out.println("y[0] is " + y[0]); } public static void m(int number, int[] numbers) { number = 1001; // Assign a new value to number numbers[0] = 5555; // Assign a new value to numbers[0] } Simple Example

60. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 60 Call Stack When invoking m(x, y), the values of x and y are passed to number and numbers. Since y contains the reference value to the array, numbers now contains the same reference value to the same array.

61. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 61 Call Stack When invoking m(x, y), the values of x and y are passed to number and numbers. Since y contains the reference value to the array, numbers now contains the same reference value to the same array.

62. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 62 Heap The JVM stores the array in an area of memory, called heap, which is used for dynamic memory allocation where blocks of memory are allocated and freed in an arbitrary order. Web Link on Stack and Heap Web Link on Stack and Heap

63. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 63 Passing Arrays as Arguments F Objective: Demonstrate differences of passing primitive data type variables and array variables. TestPassArrayRun

64. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 64 Example, cont.

65. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 65 Returning an Array from a Method public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result

66. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 66 Trace the reverse Method public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = {1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000000 Declare result and create array animation

67. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 67 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000000 i = 0 and j = 5 animation

68. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 68 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000000 i (= 0) is less than 6 animation

69. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 69 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000001 i = 0 and j = 5 Assign list[0] to result[5] animation

70. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 70 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000001 After this, i becomes 1 and j becomes 4 animation

71. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 71 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000001 i (=1) is less than 6 animation

72. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 72 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000021 i = 1 and j = 4 Assign list[1] to result[4] animation

73. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 73 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000021 After this, i becomes 2 and j becomes 3 animation

74. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 74 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000021 i (=2) is still less than 6 animation

75. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 75 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000321 i = 2 and j = 3 Assign list[i] to result[j] animation

76. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 76 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000321 After this, i becomes 3 and j becomes 2 animation

77. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 77 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 000321 i (=3) is still less than 6 animation

78. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 78 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 004321 i = 3 and j = 2 Assign list[i] to result[j] animation

79. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 79 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 004321 After this, i becomes 4 and j becomes 1 animation

80. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 80 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 004321 i (=4) is still less than 6 animation

81. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 81 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 054321 i = 4 and j = 1 Assign list[i] to result[j] animation

82. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 82 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 054321 After this, i becomes 5 and j becomes 0 animation

83. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 83 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 054321 i (=5) is still less than 6 animation

84. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 84 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 654321 i = 5 and j = 0 Assign list[i] to result[j] animation

85. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 85 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 654321 After this, i becomes 6 and j becomes -1 animation

86. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 86 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 654321 i (=6) < 6 is false. So exit the loop. animation

87. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 87 Trace the reverse Method, cont. public static int[] reverse(int[] list) { int[] result = new int[list.length]; for (int i = 0, j = result.length - 1; i < list.length; i++, j--) { result[j] = list[i]; } return result; } int[] list1 = new int[]{1, 2, 3, 4, 5, 6}; int[] list2 = reverse(list1); list result 123456 654321 Return result list2 animation

88. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 88 Problem: Counting Occurrence of Each Letter F Generate 100 lowercase letters randomly and assign to an array of characters. F Count the occurrence of each letter in the array. CountLettersInArrayRun

89. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 89 Searching Arrays Searching is the process of looking for a specific element in an array; for example, discovering whether a certain score is included in a list of scores. Searching is a common task in computer programming. There are many algorithms and data structures devoted to searching. In this section, two commonly used approaches are discussed, linear search and binary search.

90. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 90 Linear Search The linear search approach compares the key element, key, sequentially with each element in the array list. The method continues to do so until the key matches an element in the list or the list is exhausted without a match being found. If a match is made, the linear search returns the index of the element in the array that matches the key. If no match is found, the search returns -1.

91. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 91 Linear Search Animation 64197328 64197328 64197328 64197328 64197328 64197328 3 3 3 3 3 3 animation KeyList

92. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 92 From Idea to Solution /** The method for finding a key in the list */ public static int linearSearch(int[] list, int key) { for (int i = 0; i < list.length; i++) if (key == list[i]) return i; return -1; } int[] list = {1, 4, 4, 2, 5, -3, 6, 2}; int i = linearSearch(list, 4); //returns 1 located at[1] int j = linearSearch(list, -4); //returns -1 No match int k = linearSearch(list, -3); //returns 5 located at[5] Trace the method

93. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 93 Binary Search For binary search to work, the elements in the array must already be ordered. Without loss of generality, assume that the array is in ascending order. e.g., 2 4 7 10 11 45 50 59 60 66 69 70 79 The binary search first compares the key with the element in the middle of the array. Video Binary Search Simulation

94. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 94 Binary Search, cont. F If the key is less than the middle element, you only need to search the key in the first half of the array. F If the key is equal to the middle element, the search ends with a match. F If the key is greater than the middle element, you only need to search the key in the second half of the array. Consider the following three cases:

95. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 95 Binary Search 12346789 12346789 12346789 8 8 8 KeyList animation

96. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 96 Binary Search, cont.

97. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 97 Binary Search, cont.

98. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 98 Binary Search, cont. The binarySearch method returns the index of the element in the list that matches the search key if it is contained in the list. Otherwise, it returns -insertion point - 1. The insertion point is the point at which the key would be inserted into the list.

99. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 99 From Idea to Solution /** Use binary search to find the key in the list */ public static int binarySearch(int[] list, int key) { int low = 0; int high = list.length - 1; while (high >= low) { int mid = (low + high) / 2; if (key < list[mid]) high = mid - 1; else if (key == list[mid]) return mid; else low = mid + 1; } return -1 - low; }

100. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 100 The Arrays.binarySearch Method Since binary search is frequently used in programming, Java provides several overloaded binarySearch methods for searching a key in an array of int, double, char, short, long, and float in the java.util.Arrays class. For example, the following code searches the keys in an array of numbers and an array of characters. int[] list = {2, 4, 7, 10, 11, 45, 50, 59, 60, 66, 69, 70, 79}; System.out.println("Index is " + java.util.Arrays.binarySearch(list, 11)); char[] chars = {'a', 'c', 'g', 'x', 'y', 'z'}; System.out.println("Index is " + java.util.Arrays.binarySearch(chars, 't')); For the binarySearch method to work, the array must be pre-sorted in increasing order. Return is 4 Return is –4 (insertion point is 3, so return is -3-1)

101. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 101 Sorting Arrays Sorting, like searching, is also a common task in computer programming. Many different algorithms have been developed for sorting. This section introduces two simple, intuitive sorting algorithms: selection sort and insertion sort.

102. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 102 Selection sort finds the largest number in the list and places it last. It then finds the largest number remaining and places it next to last, and so on until the list contains only a single number. Figure 6.17 shows how to sort the list {2, 9, 5, 4, 8, 1, 6} using selection sort. Selection Sort

103. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 103 From Idea to Solution for (int i = 0; i < list.length; i++) { select the smallest element in list[i..listSize-1]; swap the smallest with list[i], if necessary; // list[i] is in its correct position. // The next iteration apply on list[i..listSize-1] } list[0] list[1] list[2] list[3]... list[10]... list[0] list[1] list[2] list[3]... list[10]

104. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 104 Expand for (int i = 0; i < listSize; i++) { select the smallest element in list[i..listSize-1]; swap the smallest with list[i], if necessary; // list[i] is in its correct position. // The next iteration apply on list[i..listSize-1] } double currentMin = list[i]; int currentMinIndex = i; for (int j = i; j < list.length; j++) { if (currentMin > list[j]) { currentMin = list[j]; currentMinIndex = j; }

105. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 105 Expand for (int i = 0; i < listSize; i++) { select the smallest element in list[i..listSize-1]; swap the smallest with list[i], if necessary; // list[i] is in its correct position. // The next iteration apply on list[i..listSize-1] } double currentMin = list[i]; int currentMinIndex = i; for (int j = i; j < list.length; j++) { if (currentMin > list[j]) { currentMin = list[j]; currentMinIndex = j; }

106. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 106 Expand for (int i = 0; i < listSize; i++) { select the smallest element in list[i..listSize-1]; swap the smallest with list[i], if necessary; // list[i] is in its correct position. // The next iteration apply on list[i..listSize-1] } if (currentMinIndex != i) { list[currentMinIndex] = list[i]; list[i] = currentMin; }

107. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 107 Wrap it in a Method /** The method for sorting the numbers */ public static void selectionSort(double[] list) { for (int i = 0; i < list.length; i++) { // Find the minimum in the list[i..list.length-1] double currentMin = list[i]; int currentMinIndex = i; for (int j = i + 1; j < list.length; j++) { if (currentMin > list[j]) { currentMin = list[j]; currentMinIndex = j; } // Swap list[i] with list[currentMinIndex] if necessary; if (currentMinIndex != i) { list[currentMinIndex] = list[i]; list[i] = currentMin; } Invoke it selectionSort(yourList)

108. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 108 Insertion Sort int[] myList = {2, 9, 5, 4, 8, 1, 6}; // Unsorted The insertion sort algorithm sorts a list of values by repeatedly inserting an unsorted element into a sorted sublist until the whole list is sorted.

109. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 109 Insertion Sort 2954816 2954816 2594816 2458916 1245896 2459816 1245689 int[] myList = {2, 9, 5, 4, 8, 1, 6}; // Unsorted animation

110. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 110 How to Insert? The insertion sort algorithm sorts a list of values by repeatedly inserting an unsorted element into a sorted sublist until the whole list is sorted.

111. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 111 From Idea to Solution for (int i = 1; 1; i < list,length; i++) { insert list[i] into a sorted sublist list[0..i-1] so that list[0..i] is sorted } list[0] list[0] list[1] list[0] list[1] list[2] list[0] list[1] list[2] list[3] list[0] list[1] list[2] list[3]... InsertSort

112. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 112 The Arrays.sort Method Since sorting is frequently used in programming, Java provides several overloaded sort methods for sorting an array of int, double, char, short, long, and float in the java.util.Arrays class. For example, the following code sorts an array of numbers and an array of characters. double[] numbers = {6.0, 4.4, 1.9, 2.9, 3.4, 3.5}; java.util.Arrays.sort(numbers); char[] chars = {'a', 'A', '4', 'F', 'D', 'P'}; java.util.Arrays.sort(chars);

113. Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807 JVA JDK 113 The Java Development Kit (JDK) is an implementation of either one of the Java SE, Java EE or Java ME platforms [1] released by Oracle Corporation in the form of a binary product aimed at Java developers on Solaris, Linux, Mac OS X or Windows. [2] Since the introduction of Java platform, it has been by far the most widely used Software Development Kit (SDK). [citation needed] On 17 November 2006, Sun announced that it would be released under the GNU General Public License (GPL), thus making it free software. This happened in large part on 8 May 2007, when Sun contributed the source code to the OpenJDK. [3]Java SEJava EEJava ME [1] Oracle CorporationJavaSolarisLinuxMac OS XWindows [2]JavaSDKcitation needed GNU General Public Licensefree softwareOpenJDK [3] JDK contents The JDK has as its primary components a collection of programming tools, including: appletviewerappletviewer – this tool can be used to run and debug Java applets without a web browser