Unit 6 Arrays - Teacher notebook
Lesson on the College Board Unit 6 Arrays. This is the teacher notebook.
Intro into Arrays
-
An array is a data structure used to implement a collection (list) of primitive or object reference data.
-
An element is a single value in the array
-
The **index** of an element is the position of the element in the array
- In java, the first element of an array is at index 0.
-
The length of an array is the number of elements in the array.
-
length
is apublic final
data member of an array-
Since
length
ispublic
, we can access it in any class! -
Since
length
isfinal
we cannot change an array’slength
after it has been created
-
-
In Java, the last element of an array named
list
is at indexlist.length -1
-
A look into list Memory
int [] listOne = new int[5];
This will allocate a space in memory for 5 integers.
ARRAY: [0, 0, 0, 0, 0]
INDEX: 0 1 2 3 4
Using the keyword new uses the default values for the data type. The default values are as follows:
Data Type | Default Value |
---|---|
byte | (byte) 0 |
short | (short) 0 |
int | 0 |
double | 0.0 |
boolean | false |
char | ‘\u0000’ |
What do we do if we want to insert a value into the array?
listOne[0] = 5;
Gives us the following array:
ARRAY: [0, 0, 0, 0, 0]
INDEX: 0 1 2 3 4
What if we want to initialize our own values? We can use an initializer list!
int [] listTwo = {1, 2, 3, 4, 5};
Gives us the following array:
ARRAY: [1, 2, 3, 4, 5]
INDEX: 0 1 2 3 4
If we try to access an index outside of the range of existing indexes, we will get an error. But why? Remember the basis of all programming languages is memory. Because we are trying to access a location in memory that does not exist, java will throw an error (ArrayIndexOutOfBoundsException
).
How do we print the array? Directly printing the array will not work, it just prints the value of the array in memory. We need to iterate through the array and print each value individually!
/* lets take a look at the above */
int [] listOne = new int[5]; // Our list looks like [0, 0, 0, 0, 0]
listOne[2] = 33; // Our list looks like [0, 0, 33, 0, 0]
listOne[3] = listOne[2] * 3; // Our list looks like [0, 0, 33, 99, 0]
try {
listOne[4] = 13; // This will return an error
} catch (Exception e) {
System.out.println("Error at listOne[5] = 13");
System.out.println("ArrayIndexOutOfBoundsException: We can't access a memory index that doesn't exist!");
}
System.out.println(listOne); // THIS DOES NOT PRINT THE LIST!! It prints the value in memory
System.out.println(listOne[4]); // This will actually print the vaules in the array
[I@294cfe5
13
Popcorn Hacks!
Write code to print out every element of listOne the following
/* popcorn hacks go here */
int i = 0;
while(i < 5){
int x = i;
System.out.println(listOne[x]);
i++;
}
0
0
33
99
13
Reference elements
Lists can be made up of elements other than the default data types! We can make lists of objects, or even lists of lists! Lets say I have a class Student
and I want to make a list of all students in the class. I can do this by creating a list of Student
objects.
Student [] classList;
classList new Student [3];
Keep in mind, however, that the list won’t be generated with any students in it. They are initialized to null
by default, and We need to create the students and then add them to the list ourselves.
classList[0] = new Student("Bob", 12, 3.5);
classList[1] = new Student("John", 11, 4.0);
classList[2] = new Student("Steve", 10, 3.75);
Popcorn hacks!
Use a class that you have already created and create a list of objects of that class. Then, iterate through the list and print out each object using: 1) a for loop 2) a while loop
/* Popcorn hacks go here */
public class Scores {
public static void main(String[] args){
int [] scoreList = {51, 20, 90, 100};
System.out.println(scoreList.length);
// while loop
System.out.println("-----------------while loop-------------------");
int i = 0;
while(i < 4){
int x = i;
System.out.println(scoreList[x]);
i++;
}
// for loop
System.out.println("-------------------for loop-------------------");
for(i = 0; i < 4; i++){
int x = i;
System.out.println(scoreList[x]);
}
}
}
Scores.main(null);
4
-----------------while loop-------------------
51
20
90
100
-------------------for loop-------------------
51
20
90
100
Enhanced for loops
The enhanced for
loop is also called a for-each loop. Unlike a “traditional” indexed for
loop with three parts separated by semicolons, there are only two parts to the enhanced for
loop header and they are separated by a colon.
The first half of an enhanced for
loop signature is the type of name for the variable that is a copy of the value stored in the structure. Next a colon separates the variable section from the data structure being traversed with the loop.
Inside the body of the loop you are able to access the value stored in the variable. A key point to remember is that you are unable to assign into the variable defined in the header (the signature)
You also do not have access to the indices of the array or subscript notation when using the enhanced for
loop.
These loops have a structure similar to the one shown below:
for (type declaration : structure )
{
// statement one;
// statement two;
// ...
}
Popcorn Hacks!
Create an array, then use a enhanced for loop to print out each element of the array.
/* Popcorn hacks go here */
int[] popcornArray = {1, 2, 3, 4};
for(int i : popcornArray){
System.out.println(i);
}
1
2
3
4
Min maxing
It is a common task to determine what the largest or smallest value stored is inside an array. in order to do this, we need a method that can ake a parameter of an array of primitive values (int
or double
) and return the item that is at the appropriate extreme.
Inside the method of a local variable is needed to store the current max of min value that will be compared against all the values in the array. you can assign the current value to be either the opposite extreme or the first item you would be looking at.
You can use either a standard for
loop or an enhanced for
loop to determine the max or min. Assign the temporary variable a starting value based on what extreme you are searching for.
Inside the for
loop, compare the current value against the local variable, if the current value is better, assign it to the temporary variable. When the loop is over, the local variable will contain the approximate value and is still available and within scope and can be returned from the method.
Popcorn Hacks!
Create two lists: one of ints and one of doubles. Use both a standard for loop and an enhanced for loop to find the max and min of each list.
/* Popcorn hacks go here! */
int[] integerList = {6, 2, 8, 9, 3, 5, 4};
double[] doubleList = {1.5, 2.1, 3.4, 4.2, 6.1, 7.4};
// regular for loop | integer
int min = integerList[0]; // Initialize min to the first element
int max = integerList[0]; // Initialize max to the first element
for (int i = 0; i < integerList.length; i++) {
if (integerList[i] > max) {
max = integerList[i]; // Update max if the current element is greater
} else if (integerList[i] < min) {
min = integerList[i]; // Update min if the current element is smaller
}
}
System.out.println("Loop 1");
System.out.println("Min: " + min + " Max: " + max);
// regular for loop | double
double doubleMin = doubleList[0]; // Initialize doubleMin to the first element
double doubleMax = doubleList[0]; // Initialize doubleMax to the first element
for (int i = 0; i < doubleList.length; i++) {
if (doubleList[i] > doubleMax) {
doubleMax = doubleList[i]; // Update doubleMax if the current element is greater
} else if (doubleList[i] < doubleMin) {
doubleMin = doubleList[i]; // Update doubleMin if the current element is smaller
}
}
System.out.println("Loop 2");
System.out.println("Min: " + doubleMin + " Max: " + doubleMax);
// enhanced for loop | integer
min = integerList[0];
max = integerList[0];
for (int i : integerList) {
if (i > max) {
max = i;
} else if (i < min) {
min = i;
}
}
System.out.println("Loop 3");
System.out.println("Min: " + min + " Max: " + max);
doubleMin = doubleList[0];
doubleMax = doubleList[0];
// enhanced for loop | double
for (double i : doubleList) {
if (i > doubleMax) {
doubleMax = i;
} else if (i < doubleMin) {
doubleMin = i;
}
}
System.out.println("Loop 4");
System.out.println("Min: " + doubleMin + " Max: " + doubleMax);
Loop 1
Min: 2 Max: 9
Loop 2
Min: 1.5 Max: 7.4
Loop 3
Min: 2 Max: 9
Loop 4
Min: 1.5 Max: 7.4
Hacks
Given an input of N integers, find A, the maximum, B, the minimum, and C the median.
Print the following in this order: A + B + C A - B - C (A + B) * C
Sample data:
INPUT: 5 1 2 3 4 5
OUTPUT: 9 1 18
INPUT: 9 2 4 6 8 10 10 12 14 16
OUTPUT: 28 6 180 For extra, create your own fun program using an array
import java.util.Arrays;
import java.util.Scanner;
public class statisticsThing {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
// Read the number of integers (N)
int N = scanner.nextInt();
// Read the integers into an array
int[] numbers = new int[N];
for (int i = 0; i < N; i++) {
numbers[i] = scanner.nextInt();
}
// Sort the array to find the maximum, minimum, and median
Arrays.sort(numbers);
int A = numbers[N - 1]; // Maximum
int B = numbers[0]; // Minimum
int C;
if (N % 2 == 0) {
// If N is even, take the average of the two middle elements
C = (numbers[N / 2 - 1] + numbers[N / 2]) / 2;
} else {
// If N is odd, the median is the middle element
C = numbers[N / 2];
}
// Calculate the expressions
int result1 = A + B + C;
int result2 = A - B - C;
int result3 = (A + B) * C;
// Print the results
System.out.println(result1 + " " + result2 + " " + result3);
}
}
statisticsThing.main(null);
18 0 72